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0.3 | ๅ
ฅใ็ฅๆตใ็บ็ใใชใ | ยฌ{B} | fact1: ใ้ใใจใใใใจใ่ตทใใใชใใใจใใใใจใๆใ็ซใค fact2: ้ขจๅบใซ่ชใ่พผใใใจใ่ตทใใใชใใใใใ่ชญใฟๅใใใใจใ่ตทใใ fact3: ๅฐ้ๆดฅใซๅพ
ใคใใจใฏ่ตทใใใชใใใใใ้ฆๆฌใใฏ่ตทใใ | fact1: ยฌ{HT} fact2: (ยฌ{AA} & {AB}) fact3: (ยฌ{BL} & {DT}) | [] | [] | null | null | [] | null | 1 | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใ้ใใจใใใใจใ่ตทใใใชใใใจใใใใจใๆใ็ซใค fact2: ้ขจๅบใซ่ชใ่พผใใใจใ่ตทใใใชใใใใใ่ชญใฟๅใใใใจใ่ตทใใ fact3: ๅฐ้ๆดฅใซๅพ
ใคใใจใฏ่ตทใใใชใใใใใ้ฆๆฌใใฏ่ตทใใ ; $hypothesis$ = ๅ
ฅใ็ฅๆตใ็บ็ใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{HT} fact2: (ยฌ{AA} & {AB}) fact3: (ยฌ{BL} & {DT}) ; $hypothesis$ = ยฌ{B} ; $proof$ = | __UNKNOWN__ |
0.3 | ๅ้ซใใจใใใใจใ็บ็ใใชใ | ยฌ{A} | fact1: ไธใถๅฑฑใใใใใ ใใใใจใ็บ็ใใ fact2: ใๅผฑใใจใใใใจใ็ใใ | fact1: {FQ} fact2: {EN} | [] | [] | null | null | [] | null | 1 | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ไธใถๅฑฑใใใใใ ใใใใจใ็บ็ใใ fact2: ใๅผฑใใจใใใใจใ็ใใ ; $hypothesis$ = ๅ้ซใใจใใใใจใ็บ็ใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {FQ} fact2: {EN} ; $hypothesis$ = ยฌ{A} ; $proof$ = | __UNKNOWN__ |
0.3 | ่ชฟๅณใ่ตทใใใชใใฆใใใใใจใใใใจใฏ็บ็ใใชใ | (ยฌ{AA} & ยฌ{AB}) | fact1: ใใๅฃใใใใจใใใใจใฏ่ตทใใชใใชใใฐใไธ่ปๆใซๆใกๅบใใใจใ็ใใชใใ่ด็ฝชใ่ตทใใชใใใจใใใใจใฏ่ชคใใ fact2: ๆณฅๅใฏ่ตทใใชใ fact3: ใ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใใจใ่ตทใใใชใใใจใใใใจใฏใใ้ชใซใใใๅบใใใจใฏ็ใใชใใใจใใใใจใซใใ็บ็ใใ fact4: ใใ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใใจใฏ็ใใใฐใ็ฉบๆจกๆงใ่ตทใใใชใใ่ถ่ฒใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact5: ใ่ชฟๅณใฏ็บ็ใใใใใใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใๆใ็ซใใชใ fact6: ใใใไธ่ปๆใซๆใกๅบใใใจใฏ็บ็ใใชใใ่ด็ฝชใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐ้ฆณใๅใใใใจใ็ใใชใ fact7: ใใใๅฟ็กใใจใใใใจใฏ็ใใใใใใใ้ชใซใใใๅบใใใจใ็บ็ใใชใใใจใใใใจใๆใ็ซใฆใฐ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใใจใ็บ็ใใ fact8: ใใใ่ด็ฝชใฏ่ตทใใใชใใใจใใใใจใฏๆใ็ซใฆใฐๅฟ็กใใจใใใใจใจใกใใฅใใใใจไธกๆนใ่ตทใใ fact9: ใๆๅใฏ็บ็ใใชใใใปใใ่ถใซ่ซๅใใใจใ่ตทใใใชใใใจใใใใจใๆใ็ซใใชใ fact10: ใ่ชฟๅณใ็บ็ใใชใใฆใใใใใจใใใใจใฏ็บ็ใใใใจใใใใจใไบๅฎใ ใจใใใใจใฏใชใ fact11: ใ่ชฟๅณใฏ็ใใชใใใใใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏใ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใซ่ช็บใใใ fact12: ใไธๅฎๆพใซใใใกใใใใจใ็ใใชใใฆๆชใใใจใใใใจใ็ใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact13: ใใ้ฆณใๅใใใใจใฏ่ตทใใชใใชใใฐใกใใฅใใใใจใ่ตทใใชใใใใใใฏๅฟ็กใใจใใใใจใฏ่ตทใใใชใใไธกๆนใ fact14: ใใๆณฅๅใ็บ็ใใชใใชใใฐ่ด็ฝชใ็ใใชใใฆๆๅใๆฑบใพใใใจใ็ใใ | fact1: ยฌ{H} -> ยฌ(ยฌ{F} & ยฌ{G}) fact2: ยฌ{J} fact3: ยฌ{B} -> ยฌ{A} fact4: {A} -> ยฌ(ยฌ{GR} & ยฌ{HO}) fact5: ยฌ({AA} & ยฌ{AB}) fact6: ยฌ(ยฌ{F} & ยฌ{G}) -> ยฌ{E} fact7: ({C} & ยฌ{B}) -> {A} fact8: ยฌ{G} -> ({C} & {D}) fact9: ยฌ(ยฌ{L} & ยฌ{FF}) fact10: ยฌ(ยฌ{AA} & {AB}) fact11: ยฌ{A} -> (ยฌ{AA} & ยฌ{AB}) fact12: ยฌ(ยฌ{GT} & ยฌ{IE}) fact13: ยฌ{E} -> (ยฌ{D} v ยฌ{C}) fact14: ยฌ{J} -> (ยฌ{G} & {I}) | [] | [] | ใ็ฉบๆจกๆงใ็ใใชใใฆ่ถ่ฒใใจใใใใจใฏ่ตทใใชใใใจใใใใจใๆใ็ซใใชใ | ยฌ(ยฌ{GR} & ยฌ{HO}) | [
"fact19 & fact17 -> int1: ่ด็ฝชใฏ็บ็ใใชใใๆๅใๆฑบใพใใใจใฏ็บ็ใใ; int1 -> int2: ่ด็ฝชใ็บ็ใใชใ; fact15 & int2 -> int3: ๅฟ็กใใจใใใใจใ็ใใใใกใใฅใใใใจใ่ตทใใ; int3 -> int4: ๅฟ็กใใจใใใใจใ่ตทใใ;"
] | 7 | 1 | null | 14 | 0 | 14 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใๅฃใใใใจใใใใจใฏ่ตทใใชใใชใใฐใไธ่ปๆใซๆใกๅบใใใจใ็ใใชใใ่ด็ฝชใ่ตทใใชใใใจใใใใจใฏ่ชคใใ fact2: ๆณฅๅใฏ่ตทใใชใ fact3: ใ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใใจใ่ตทใใใชใใใจใใใใจใฏใใ้ชใซใใใๅบใใใจใฏ็ใใชใใใจใใใใจใซใใ็บ็ใใ fact4: ใใ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใใจใฏ็ใใใฐใ็ฉบๆจกๆงใ่ตทใใใชใใ่ถ่ฒใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact5: ใ่ชฟๅณใฏ็บ็ใใใใใใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใๆใ็ซใใชใ fact6: ใใใไธ่ปๆใซๆใกๅบใใใจใฏ็บ็ใใชใใ่ด็ฝชใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐ้ฆณใๅใใใใจใ็ใใชใ fact7: ใใใๅฟ็กใใจใใใใจใฏ็ใใใใใใใ้ชใซใใใๅบใใใจใ็บ็ใใชใใใจใใใใจใๆใ็ซใฆใฐ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใใจใ็บ็ใใ fact8: ใใใ่ด็ฝชใฏ่ตทใใใชใใใจใใใใจใฏๆใ็ซใฆใฐๅฟ็กใใจใใใใจใจใกใใฅใใใใจไธกๆนใ่ตทใใ fact9: ใๆๅใฏ็บ็ใใชใใใปใใ่ถใซ่ซๅใใใจใ่ตทใใใชใใใจใใใใจใๆใ็ซใใชใ fact10: ใ่ชฟๅณใ็บ็ใใชใใฆใใใใใจใใใใจใฏ็บ็ใใใใจใใใใจใไบๅฎใ ใจใใใใจใฏใชใ fact11: ใ่ชฟๅณใฏ็ใใชใใใใใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏใ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใซ่ช็บใใใ fact12: ใไธๅฎๆพใซใใใกใใใใจใ็ใใชใใฆๆชใใใจใใใใจใ็ใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact13: ใใ้ฆณใๅใใใใจใฏ่ตทใใชใใชใใฐใกใใฅใใใใจใ่ตทใใชใใใใใใฏๅฟ็กใใจใใใใจใฏ่ตทใใใชใใไธกๆนใ fact14: ใใๆณฅๅใ็บ็ใใชใใชใใฐ่ด็ฝชใ็ใใชใใฆๆๅใๆฑบใพใใใจใ็ใใ ; $hypothesis$ = ่ชฟๅณใ่ตทใใใชใใฆใใใใใจใใใใจใฏ็บ็ใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{H} -> ยฌ(ยฌ{F} & ยฌ{G}) fact2: ยฌ{J} fact3: ยฌ{B} -> ยฌ{A} fact4: {A} -> ยฌ(ยฌ{GR} & ยฌ{HO}) fact5: ยฌ({AA} & ยฌ{AB}) fact6: ยฌ(ยฌ{F} & ยฌ{G}) -> ยฌ{E} fact7: ({C} & ยฌ{B}) -> {A} fact8: ยฌ{G} -> ({C} & {D}) fact9: ยฌ(ยฌ{L} & ยฌ{FF}) fact10: ยฌ(ยฌ{AA} & {AB}) fact11: ยฌ{A} -> (ยฌ{AA} & ยฌ{AB}) fact12: ยฌ(ยฌ{GT} & ยฌ{IE}) fact13: ยฌ{E} -> (ยฌ{D} v ยฌ{C}) fact14: ยฌ{J} -> (ยฌ{G} & {I}) ; $hypothesis$ = (ยฌ{AA} & ยฌ{AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎ่ฟ้ใฏๆ่จฑใงใใฃใฆๆฐๅณๆชใใใฎใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ | ยฌ({A}{a} & {B}{a}) | fact1: ใใไฝใใฏ๏ผช๏ผฆ๏ผฌใชใใฐใใใฏ็ตใฟ่พผใใ fact2: ใใฎ่ฉๅ
ใฏๆ่จฑใ ใใใใฏๆฑๆจช้ขใ fact3: ใใฎ่ฟ้ใใใฉใใฉใใ fact4: ใใฎ่ฟ้ใฏๆ่จฑใ fact5: ใใฎ่ปใฏๆฐๅณๆชใ fact6: ใใใฎ่ฟ้ใๅฐๅณ่ก้ใซๅ ฑใใใใจใใใใจใไบๅฎใ fact7: ใใใใใใชใใใฎใฏ๏ผช๏ผฆ๏ผฌใ ใจใใใใจใฏใชใ fact8: ใใใใฎ้็ฉใ๏ผช๏ผฆ๏ผฌใ ใจใใใใจใใชใใชใใฐใใใฎ่ฟ้ใฏๆ่จฑใงใใใๆฐๅณๆชใใใจใใใใจใไบๅฎใจ็ฐใชใ fact9: ใใฎ้็ฉใฏใใใใใๅซ็ฅ fact10: ใใฎ้ท้ณฅใฏๆฐๅณๆชใใฆ็ฉๆฒใใ fact11: ใใฎ่ฟ้ใๆฐๅณๆชใ | fact1: (x): {C}x -> {DP}x fact2: ({A}{cr} & {GS}{cr}) fact3: {GG}{a} fact4: {A}{a} fact5: {B}{q} fact6: {BD}{a} fact7: (x): ยฌ{D}x -> ยฌ{C}x fact8: ยฌ{C}{b} -> ยฌ({A}{a} & {B}{a}) fact9: ({D}{b} & {E}{b}) fact10: ({B}{cd} & {CH}{cd}) fact11: {B}{a} | [
"fact4 & fact11 -> hypothesis;"
] | [
"fact4 & fact11 -> hypothesis;"
] | ใใใฎ่ฟ้ใฏๆ่จฑใงใใใๆฐๅณๆชใใใจใใใใจใๆใ็ซใใชใ | ยฌ({A}{a} & {B}{a}) | [
"fact12 -> int1: ใใใใฎ้็ฉใใใใใใใชใใชใใฐใใใฏ๏ผช๏ผฆ๏ผฌใ ใจใใใใจใฏใชใ;"
] | 6 | 1 | 1 | 9 | 0 | 9 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใไฝใใฏ๏ผช๏ผฆ๏ผฌใชใใฐใใใฏ็ตใฟ่พผใใ fact2: ใใฎ่ฉๅ
ใฏๆ่จฑใ ใใใใฏๆฑๆจช้ขใ fact3: ใใฎ่ฟ้ใใใฉใใฉใใ fact4: ใใฎ่ฟ้ใฏๆ่จฑใ fact5: ใใฎ่ปใฏๆฐๅณๆชใ fact6: ใใใฎ่ฟ้ใๅฐๅณ่ก้ใซๅ ฑใใใใจใใใใจใไบๅฎใ fact7: ใใใใใใชใใใฎใฏ๏ผช๏ผฆ๏ผฌใ ใจใใใใจใฏใชใ fact8: ใใใใฎ้็ฉใ๏ผช๏ผฆ๏ผฌใ ใจใใใใจใใชใใชใใฐใใใฎ่ฟ้ใฏๆ่จฑใงใใใๆฐๅณๆชใใใจใใใใจใไบๅฎใจ็ฐใชใ fact9: ใใฎ้็ฉใฏใใใใใๅซ็ฅ fact10: ใใฎ้ท้ณฅใฏๆฐๅณๆชใใฆ็ฉๆฒใใ fact11: ใใฎ่ฟ้ใๆฐๅณๆชใ ; $hypothesis$ = ใใใฎ่ฟ้ใฏๆ่จฑใงใใฃใฆๆฐๅณๆชใใใฎใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ ; $proof$ = | fact4 & fact11 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): {C}x -> {DP}x fact2: ({A}{cr} & {GS}{cr}) fact3: {GG}{a} fact4: {A}{a} fact5: {B}{q} fact6: {BD}{a} fact7: (x): ยฌ{D}x -> ยฌ{C}x fact8: ยฌ{C}{b} -> ยฌ({A}{a} & {B}{a}) fact9: ({D}{b} & {E}{b}) fact10: ({B}{cd} & {CH}{cd}) fact11: {B}{a} ; $hypothesis$ = ยฌ({A}{a} & {B}{a}) ; $proof$ = | fact4 & fact11 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใใฎใธใฃใณใซใๅคงๅณถๅทใ ใจใใใใจใใชใใชใใฐใใใฎใธใฃใณใซใใใใใใใใใใใ่ฅ่คใงใชใใใจใใใใจใฏๆญฃใใใชใใใจใใใใจใไบๅฎใจ็ฐใชใ | ยฌ(ยฌ{A}{aa} -> ยฌ({AA}{aa} & ยฌ{AB}{aa})) | fact1: ใใใใฎ่ใใใใใใใจใใใใจใใชใใชใใฐใใใใฏไธๅท้ฆใ ใใใใใใใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใใใใใฎใฏๅคงๅณถๅทใชใใฐใใใใฏใใใใใใใฏ่ฅ่คใ ใจใใใใจใฏใชใใใจใใใใจใ้้ใใ fact3: ใใใใฎใธใฃใณใซใๅคงๅณถๅทใ ใจใใใใจใฏใชใใชใใฐใใใใใใใ่ฅ่คใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact4: ใใใใฎใธใฃใณใซใฏ้ทๅบๆธฏใ ใจใใใใจใใชใใชใใฐใใใใใฏใฌใซใทใขใซใใใฟใใฆใใ้
ธ้ๅฑฑใ ใจใใใใจใใชใใใจใใใใจใฏๆญฃใใใใจใใใใจใๅใ fact5: ใใใใฎ็้ทใฏใใใใจใใใใจใฏใชใใชใใฐใใใใๅญฃ็ฅใซๅบใใๅผๆปใใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact6: ใใใใใใฎใๅคงๅณถๅทใ ใจใใใใจใใชใใชใใฐใใใใฏใใใใ่ฅ่คใงใชใใใจใใใใจใฏๅฝใ fact7: ใใไฝใใฏๅคงๅณถๅทใ ใจใใใใจใฏใชใใชใใฐใใใฏใใใใใฎใงใใฃใฆ่ฅ่คใ ใจใใใใจใฏใชใใใฎ fact8: ใใไฝใใฏๅคงๅณถๅทใ ใจใใใใจใฏใชใใชใใฐใใใใฏใใใใฆ่ฅ่คใ ใใจใใใใจใฏๅใ fact9: ใใใใฎใธใฃใณใซใฏๅคงๅณถๅทใชใใฐใใใใใใใใใใใฏ่ฅ่คใ ใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ fact10: ใใใใฎใธใฃใณใซใๅคงๅณถๅทใ ใจใใใใจใใชใใชใใฐใใใใใใใใใใ่ฅ่คใ ใจใใใใจใฏใชใ | fact1: ยฌ{IJ}{ch} -> ยฌ({P}{ch} & ยฌ{AA}{ch}) fact2: (x): {A}x -> ยฌ({AA}x & ยฌ{AB}x) fact3: ยฌ{A}{aa} -> ยฌ({AA}{aa} & {AB}{aa}) fact4: ยฌ{BI}{aa} -> ยฌ({L}{aa} & ยฌ{EO}{aa}) fact5: ยฌ{AA}{b} -> ยฌ({CR}{b} & ยฌ{DF}{b}) fact6: (x): ยฌ{A}x -> ยฌ({AA}x & ยฌ{AB}x) fact7: (x): ยฌ{A}x -> ({AA}x & ยฌ{AB}x) fact8: (x): ยฌ{A}x -> ยฌ({AA}x & {AB}x) fact9: {A}{aa} -> ยฌ({AA}{aa} & ยฌ{AB}{aa}) fact10: ยฌ{A}{aa} -> ({AA}{aa} & ยฌ{AB}{aa}) | [
"fact6 -> hypothesis;"
] | [
"fact6 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 9 | 0 | 9 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใใใฎ่ใใใใใใใจใใใใจใใชใใชใใฐใใใใฏไธๅท้ฆใ ใใใใใใใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใใใใใฎใฏๅคงๅณถๅทใชใใฐใใใใฏใใใใใใใฏ่ฅ่คใ ใจใใใใจใฏใชใใใจใใใใจใ้้ใใ fact3: ใใใใฎใธใฃใณใซใๅคงๅณถๅทใ ใจใใใใจใฏใชใใชใใฐใใใใใใใ่ฅ่คใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact4: ใใใใฎใธใฃใณใซใฏ้ทๅบๆธฏใ ใจใใใใจใใชใใชใใฐใใใใใฏใฌใซใทใขใซใใใฟใใฆใใ้
ธ้ๅฑฑใ ใจใใใใจใใชใใใจใใใใจใฏๆญฃใใใใจใใใใจใๅใ fact5: ใใใใฎ็้ทใฏใใใใจใใใใจใฏใชใใชใใฐใใใใๅญฃ็ฅใซๅบใใๅผๆปใใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact6: ใใใใใใฎใๅคงๅณถๅทใ ใจใใใใจใใชใใชใใฐใใใใฏใใใใ่ฅ่คใงใชใใใจใใใใจใฏๅฝใ fact7: ใใไฝใใฏๅคงๅณถๅทใ ใจใใใใจใฏใชใใชใใฐใใใฏใใใใใฎใงใใฃใฆ่ฅ่คใ ใจใใใใจใฏใชใใใฎ fact8: ใใไฝใใฏๅคงๅณถๅทใ ใจใใใใจใฏใชใใชใใฐใใใใฏใใใใฆ่ฅ่คใ ใใจใใใใจใฏๅใ fact9: ใใใใฎใธใฃใณใซใฏๅคงๅณถๅทใชใใฐใใใใใใใใใใใฏ่ฅ่คใ ใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ fact10: ใใใใฎใธใฃใณใซใๅคงๅณถๅทใ ใจใใใใจใใชใใชใใฐใใใใใใใใใใ่ฅ่คใ ใจใใใใจใฏใชใ ; $hypothesis$ = ใใใใใฎใธใฃใณใซใๅคงๅณถๅทใ ใจใใใใจใใชใใชใใฐใใใฎใธใฃใณใซใใใใใใใใใใใ่ฅ่คใงใชใใใจใใใใจใฏๆญฃใใใชใใใจใใใใจใไบๅฎใจ็ฐใชใ ; $proof$ = | fact6 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{IJ}{ch} -> ยฌ({P}{ch} & ยฌ{AA}{ch}) fact2: (x): {A}x -> ยฌ({AA}x & ยฌ{AB}x) fact3: ยฌ{A}{aa} -> ยฌ({AA}{aa} & {AB}{aa}) fact4: ยฌ{BI}{aa} -> ยฌ({L}{aa} & ยฌ{EO}{aa}) fact5: ยฌ{AA}{b} -> ยฌ({CR}{b} & ยฌ{DF}{b}) fact6: (x): ยฌ{A}x -> ยฌ({AA}x & ยฌ{AB}x) fact7: (x): ยฌ{A}x -> ({AA}x & ยฌ{AB}x) fact8: (x): ยฌ{A}x -> ยฌ({AA}x & {AB}x) fact9: {A}{aa} -> ยฌ({AA}{aa} & ยฌ{AB}{aa}) fact10: ยฌ{A}{aa} -> ({AA}{aa} & ยฌ{AB}{aa}) ; $hypothesis$ = ยฌ(ยฌ{A}{aa} -> ยฌ({AA}{aa} & ยฌ{AB}{aa})) ; $proof$ = | fact6 -> hypothesis; __DISPROVED__ |
0.3 | ใใใฎ้ซๅงใ่ธ่ฆใใใใฟใใใใใใจใใใใจใๆใ็ซใใชใ | ยฌ({AA}{b} & {AB}{b}) | fact1: ใใใใฎ้ฝๆฅตใใใใฐใงใชใใชใใฐใใใฎ้ซๅงใฏ่ธ่ฆใใใใฟใใใใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact2: ใใใใฎ้ฝๆฅตใฏใใใฐใชใใฐใใใฎ้ซๅงใฏ่ธ่ฆใใใใจใใใใจใฏไบๅฎใ fact3: ใใใไฝใใฏใใฃใใใใจใใใใจใฏใชใใใใใใใใๅ
ทๅใ ใใจใใใใจใ่ชคใใชใใฐใใใฏใใใฐใ ใจใใใใจใฏใชใ fact4: ใใใใใฎ้ซๅงใใใใฐใงใชใใใจใใใใจใไบๅฎใชใใฐใใใฎ้ฝๆฅตใฏไบ้ทใๆฑใใใใใ่ธ่ฆใใใใจใใใใจใฏๆใ็ซใใชใ fact5: ใใฎๅบๆใฏ็ฆๅณถๆฐ็ฐใ ใจใใใใจใฏใชใ | fact1: ยฌ{A}{a} -> ยฌ({AA}{b} & {AB}{b}) fact2: {A}{a} -> {AA}{b} fact3: (x): ยฌ(ยฌ{B}x & {C}x) -> ยฌ{A}x fact4: ยฌ{A}{b} -> ยฌ({AG}{a} & {AA}{a}) fact5: ยฌ{D}{c} | [] | [] | ใใฎ้ซๅงใฏ่ธ่ฆใใใใใใฏใฟใใใใ | ({AA}{b} & {AB}{b}) | [
"fact6 -> int1: ใ็ฆๅณถๆฐ็ฐใงใชใใใใฎใใใ;"
] | 5 | 1 | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใฎ้ฝๆฅตใใใใฐใงใชใใชใใฐใใใฎ้ซๅงใฏ่ธ่ฆใใใใฟใใใใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact2: ใใใใฎ้ฝๆฅตใฏใใใฐใชใใฐใใใฎ้ซๅงใฏ่ธ่ฆใใใใจใใใใจใฏไบๅฎใ fact3: ใใใไฝใใฏใใฃใใใใจใใใใจใฏใชใใใใใใใใๅ
ทๅใ ใใจใใใใจใ่ชคใใชใใฐใใใฏใใใฐใ ใจใใใใจใฏใชใ fact4: ใใใใใฎ้ซๅงใใใใฐใงใชใใใจใใใใจใไบๅฎใชใใฐใใใฎ้ฝๆฅตใฏไบ้ทใๆฑใใใใใ่ธ่ฆใใใใจใใใใจใฏๆใ็ซใใชใ fact5: ใใฎๅบๆใฏ็ฆๅณถๆฐ็ฐใ ใจใใใใจใฏใชใ ; $hypothesis$ = ใใใฎ้ซๅงใ่ธ่ฆใใใใฟใใใใใใจใใใใจใๆใ็ซใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{A}{a} -> ยฌ({AA}{b} & {AB}{b}) fact2: {A}{a} -> {AA}{b} fact3: (x): ยฌ(ยฌ{B}x & {C}x) -> ยฌ{A}x fact4: ยฌ{A}{b} -> ยฌ({AG}{a} & {AA}{a}) fact5: ยฌ{D}{c} ; $hypothesis$ = ยฌ({AA}{b} & {AB}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใ่ฆๆใใชใใชใใฐๆฅญใคใใฐใใซๆฃใใใใฎใฏใใ | (Ex): ยฌ{B}x -> {C}x | fact1: ใใใใใใฎใฏ่ฆๆใใชใใชใใฐใใใๆด่ฝ่ญใ fact2: ใใไฝใใฏๅคๅใใงใชใใชใใฐใใใใฏ่ฆๆใใใจใใใใจใฏไบๅฎใ fact3: ใใใใใฎใฏใฉใณใฑใฏๆฅญใคใใฐใใซๆฃใใใจใใใใจใฏๆใ็ซใฆใฐใใใๅ ชใ้ฃใ fact4: ใใใใฎใปใผใใซใ่ฆๆใใชใใฐใใใๆฅญใคใใฐใใซๆฃใ fact5: ใใใใฎใปใผใใซใฏๆดฅไน้ท็บๆดฅไน้ทใใคใใใฏใใใจใใใใจใใชใใชใใฐใใใฏๅคง่ๅฏบไธใใ fact6: ใใใๅคง่ๅฏบไธใใชใใฐใจใฆใคใใชใใใใฎใฏใใ fact7: ใใใใใฎ้ไนใใทใงใผใใฉใปใขใธใขใงใชใใใจใใใใจใๆใ็ซใฆใฐใใใๆฅญใคใใฐใใซๆฃใ fact8: ใใใใ่ฆๆใใใจใใใใจใฏไบๅฎใชใใฐๆฅญใคใใฐใใซๆฃใใใใฎใใใ fact9: ใใใใฎใปใผใใซใ่ฆๆใใจใใใใจใฏใชใใชใใฐใใใฏๅนณไปฎๅใซๅบใๆใ fact10: ใใใใใตใจใ ใจใใใใจใฏใชใใชใใฐใๆ็ใใใจใใใใจใฏๆญฃใใใใใฎใฏใใ fact11: ใใใใใฎใปใผใใซใฏใกใชใพใใใใชใใฐใใฎใปใผใใซใฏใใดใคใ ใใจใใใใจใฏๆญฃใใ fact12: ใใใๅ็ฉใฑๅดๅฑฑใซ่ฟฝใใใใใจใใใใจใฏใชใใชใใฐใใฃ้
ทใใใใฎใฏใใ fact13: ใใใใฎใปใผใใซใฏๅทไธญๅณถ็บๅใใใใใใใจใใใใจใฏใชใใชใใฐใใใใฏใใใใใจใใใใจใๆญฃใใ fact14: ใใใๆฐ้ใฃใฝใใจใใใใจใใชใใชใใฐใใฃใใใใใฎใฏใใ fact15: ใใใ็ขไนใซๆฑใ็ท ใใใจใใใใจใใชใใชใใฐ่
ซใใผใฃใใใใใฎใฏใใ fact16: ใใใใใใใใใใใจใใใใจใฏ็ๅฎใชใใฐใๆฑๆฑฐไธใซๅฎใใใใจใใใใจใๆใ็ซใคใใใฎใฏใใ fact17: ใใใใๅคง่ๅฏบไธใใ ใใจใใใใจใฏๆฌๅฝใชใใฐๆกไบใๅทฎ็ซใฆใใใใฎใฏใใ fact18: ใใใใฎใปใผใใซใฏ่ฆๆใใชใใชใใฐใใใฏๆฅญใคใใฐใใซๆฃใ fact19: ใใใ่ใๅใใจใใใใจใฏใชใใชใใฐๅคง้ฟๅใๅใ่ฝใจใใใใฎใใใ fact20: ใใใๅๅ่ทฏใชใใฐๅทไธญๅณถ็บๅใใใใใใใใใฎใฏใใ | fact1: (x): ยฌ{B}x -> {FN}x fact2: (x): ยฌ{AT}x -> {B}x fact3: {C}{ao} -> {EK}{ao} fact4: {B}{aa} -> {C}{aa} fact5: ยฌ{CJ}{aa} -> {FA}{aa} fact6: (Ex): {FA}x -> {AK}x fact7: ยฌ{DJ}{fl} -> {C}{fl} fact8: (Ex): {B}x -> {C}x fact9: ยฌ{B}{aa} -> {FM}{aa} fact10: (Ex): ยฌ{D}x -> {EF}x fact11: {BF}{aa} -> {EL}{aa} fact12: (Ex): ยฌ{BB}x -> {JK}x fact13: ยฌ{GE}{aa} -> {IJ}{aa} fact14: (Ex): ยฌ{FR}x -> {FT}x fact15: (Ex): ยฌ{BE}x -> {AP}x fact16: (Ex): {CO}x -> {CL}x fact17: (Ex): {FA}x -> {CD}x fact18: ยฌ{B}{aa} -> {C}{aa} fact19: (Ex): ยฌ{HF}x -> {HJ}x fact20: (Ex): {CP}x -> {GE}x | [
"fact18 -> hypothesis;"
] | [
"fact18 -> hypothesis;"
] | ใใใใฎๅชผใฏ่ฆๆใใจใใใใจใใชใใชใใฐใใใฏๆด่ฝ่ญใ | ยฌ{B}{jf} -> {FN}{jf} | [
"fact21 -> hypothesis;"
] | 1 | 1 | 1 | 19 | 0 | 19 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ใใใใใใฎใฏ่ฆๆใใชใใชใใฐใใใๆด่ฝ่ญใ fact2: ใใไฝใใฏๅคๅใใงใชใใชใใฐใใใใฏ่ฆๆใใใจใใใใจใฏไบๅฎใ fact3: ใใใใใฎใฏใฉใณใฑใฏๆฅญใคใใฐใใซๆฃใใใจใใใใจใฏๆใ็ซใฆใฐใใใๅ ชใ้ฃใ fact4: ใใใใฎใปใผใใซใ่ฆๆใใชใใฐใใใๆฅญใคใใฐใใซๆฃใ fact5: ใใใใฎใปใผใใซใฏๆดฅไน้ท็บๆดฅไน้ทใใคใใใฏใใใจใใใใจใใชใใชใใฐใใใฏๅคง่ๅฏบไธใใ fact6: ใใใๅคง่ๅฏบไธใใชใใฐใจใฆใคใใชใใใใฎใฏใใ fact7: ใใใใใฎ้ไนใใทใงใผใใฉใปใขใธใขใงใชใใใจใใใใจใๆใ็ซใฆใฐใใใๆฅญใคใใฐใใซๆฃใ fact8: ใใใใ่ฆๆใใใจใใใใจใฏไบๅฎใชใใฐๆฅญใคใใฐใใซๆฃใใใใฎใใใ fact9: ใใใใฎใปใผใใซใ่ฆๆใใจใใใใจใฏใชใใชใใฐใใใฏๅนณไปฎๅใซๅบใๆใ fact10: ใใใใใตใจใ ใจใใใใจใฏใชใใชใใฐใๆ็ใใใจใใใใจใฏๆญฃใใใใใฎใฏใใ fact11: ใใใใใฎใปใผใใซใฏใกใชใพใใใใชใใฐใใฎใปใผใใซใฏใใดใคใ ใใจใใใใจใฏๆญฃใใ fact12: ใใใๅ็ฉใฑๅดๅฑฑใซ่ฟฝใใใใใจใใใใจใฏใชใใชใใฐใใฃ้
ทใใใใฎใฏใใ fact13: ใใใใฎใปใผใใซใฏๅทไธญๅณถ็บๅใใใใใใใจใใใใจใฏใชใใชใใฐใใใใฏใใใใใจใใใใจใๆญฃใใ fact14: ใใใๆฐ้ใฃใฝใใจใใใใจใใชใใชใใฐใใฃใใใใใฎใฏใใ fact15: ใใใ็ขไนใซๆฑใ็ท ใใใจใใใใจใใชใใชใใฐ่
ซใใผใฃใใใใใฎใฏใใ fact16: ใใใใใใใใใใใจใใใใจใฏ็ๅฎใชใใฐใๆฑๆฑฐไธใซๅฎใใใใจใใใใจใๆใ็ซใคใใใฎใฏใใ fact17: ใใใใๅคง่ๅฏบไธใใ ใใจใใใใจใฏๆฌๅฝใชใใฐๆกไบใๅทฎ็ซใฆใใใใฎใฏใใ fact18: ใใใใฎใปใผใใซใฏ่ฆๆใใชใใชใใฐใใใฏๆฅญใคใใฐใใซๆฃใ fact19: ใใใ่ใๅใใจใใใใจใฏใชใใชใใฐๅคง้ฟๅใๅใ่ฝใจใใใใฎใใใ fact20: ใใใๅๅ่ทฏใชใใฐๅทไธญๅณถ็บๅใใใใใใใใใฎใฏใใ ; $hypothesis$ = ใใใ่ฆๆใใชใใชใใฐๆฅญใคใใฐใใซๆฃใใใใฎใฏใใ ; $proof$ = | fact18 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ยฌ{B}x -> {FN}x fact2: (x): ยฌ{AT}x -> {B}x fact3: {C}{ao} -> {EK}{ao} fact4: {B}{aa} -> {C}{aa} fact5: ยฌ{CJ}{aa} -> {FA}{aa} fact6: (Ex): {FA}x -> {AK}x fact7: ยฌ{DJ}{fl} -> {C}{fl} fact8: (Ex): {B}x -> {C}x fact9: ยฌ{B}{aa} -> {FM}{aa} fact10: (Ex): ยฌ{D}x -> {EF}x fact11: {BF}{aa} -> {EL}{aa} fact12: (Ex): ยฌ{BB}x -> {JK}x fact13: ยฌ{GE}{aa} -> {IJ}{aa} fact14: (Ex): ยฌ{FR}x -> {FT}x fact15: (Ex): ยฌ{BE}x -> {AP}x fact16: (Ex): {CO}x -> {CL}x fact17: (Ex): {FA}x -> {CD}x fact18: ยฌ{B}{aa} -> {C}{aa} fact19: (Ex): ยฌ{HF}x -> {HJ}x fact20: (Ex): {CP}x -> {GE}x ; $hypothesis$ = (Ex): ยฌ{B}x -> {C}x ; $proof$ = | fact18 -> hypothesis; __PROVED__ |
0.3 | ใใฎไธใ้ซชใฏใขใณใใผใใผใ ใจใใใใจใใชใใใใใๅ
ไธใงใใใใใใใฏไธกๆนใ | (ยฌ{AA}{b} v {AB}{b}) | fact1: ใใฎ็ทๅธฅใฏใขใณใใผใใผใ fact2: ใใใใใชใใชใใใฎใใขใณใใผใใผใงใชใใใใใใฏๅ
ไธใงใใใใใใใฏไธกๆนใ fact3: ใใใใฎ็ทๅธฅใใใใใใชใใชใใฐใใใฎไธใ้ซชใใขใณใใผใใผใงใชใใใใใๅ
ไธใงใใใไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ | fact1: {AA}{a} fact2: (x): ยฌ{A}x -> (ยฌ{AA}x v {AB}x) fact3: {A}{a} -> ยฌ(ยฌ{AA}{b} v {AB}{b}) | [] | [] | ใใฎไธใ้ซชใใขใณใใผใใผใงใชใใใใใใฏๅ
ไธใ | (ยฌ{AA}{b} v {AB}{b}) | [
"fact4 -> int1: ใใใใฎไธใ้ซชใใใใใใชใใชใใชใใฐใใใใขใณใใผใใผใ ใจใใใใจใฏใชใใใใใใฏใใใๅ
ไธใ ;"
] | 4 | 1 | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใฎ็ทๅธฅใฏใขใณใใผใใผใ fact2: ใใใใใชใใชใใใฎใใขใณใใผใใผใงใชใใใใใใฏๅ
ไธใงใใใใใใใฏไธกๆนใ fact3: ใใใใฎ็ทๅธฅใใใใใใชใใชใใฐใใใฎไธใ้ซชใใขใณใใผใใผใงใชใใใใใๅ
ไธใงใใใไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ ; $hypothesis$ = ใใฎไธใ้ซชใฏใขใณใใผใใผใ ใจใใใใจใใชใใใใใๅ
ไธใงใใใใใใใฏไธกๆนใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AA}{a} fact2: (x): ยฌ{A}x -> (ยฌ{AA}x v {AB}x) fact3: {A}{a} -> ยฌ(ยฌ{AA}{b} v {AB}{b}) ; $hypothesis$ = (ยฌ{AA}{b} v {AB}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใๅฝซใใใใใใใใจใ่ตทใใใใใใใใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๆใ็ซใคใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ | ยฌ({A} & ยฌ{B}) | fact1: ใใใใใพใใใใจใใใใจใจ็ดฐใใใใจใใใใจไธกๆนใฏ็บ็ใใใใจใใใใจใๅฝใ ใใจใใใใจใฏๆใ็ซใฆใฐ็ดฐใใใใจใใใใจใฏ็ใใชใ fact2: ใใใใพใใใใใจใ่ตทใใชใใฆใใใใใซๅฅใใใจใ่ตทใใใชใใใจใใใใจใไบๅฎใ ใจใใใใจใใชใใชใใฐใใใใใซๅฅใใใจใ็บ็ใใ fact3: ใใใใชใใใชใใผใทใงใณใ่ตทใใใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใๅฝใชใใฐใชใใใชใใผใทใงใณใฏ็บ็ใใชใ fact4: ใใๅใใฏ็ใใชใใชใใฐใใใพใใใใใจใฏ่ตทใใใชใใฆใใใใใซๅฅใใใจใ็ใใชใใใจใใใใจใฏๆญฃใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact5: ใใใ็ดฐใใใใจใใใใจใ็บ็ใใชใใใจใใใใจใๆใ็ซใฆใฐใใใชใใใชใใผใทใงใณใฏ็ใใใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใไบๅฎใ ใใจใใใใจใฏไบๅฎใ ใจใใใใจใใชใ fact6: ใใใใคใใจใใใใจใ็ใใใใจใใใใจใฏใใพใใใใจใใใใจใ็ใใใใจใใใใจใใใใใฏใๅฒๅฝใฆใฏ่ตทใใใชใใใจใใใใจใใใใใฏไธกๆนใใใใใ fact7: ใใใใใใใใจใใใใจใ็ใใใฐใๅฎๅฐใฏ่ตทใใใชใใใใใใฏ็ฆ็ฆใใใจใใใใจใฏ่ตทใใใไธกๆนใ ใใจใใใใจใฏ่ชคใใ fact8: ๅฝซใใใใใใใใจใฏ็บ็ใใ fact9: ใใใใจใใใใจใ่ตทใใชใ fact10: ใใใใพใใใใใจใจใใใใใซๅฅใใใจไธกๆนใ่ตทใใใใจใใใใจใฏๅใชใใฐใใใใใซๅฅใใใจใฏ็ใใชใ fact11: ใใ็ดฐใใใใจใใใใจใฏ่ตทใใใฐใๅฝซใใใใใใใใจใฏ่ตทใใใใใใใใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใใชใ fact12: ใใใๅฎๅฐใ็ใใชใใ็ฆ็ฆใใใจใใใใจใฏ่ตทใใใไธกๆนใ ใใจใใใใจใฏ่ชคใใชใใฐๅใใ็ใใชใ fact13: ใใๅฒๅฝใฆใฏ่ตทใใใชใใชใใฐ็ดฐใใใใจใใใใจใจๅฟใใพใใใจใใใใจไธกๆนใ่ตทใใ fact14: ๅฒๅฝใฆใ่ตทใใชใใจใใใใจใฏใใพใใใใจใใใใจใ่ตทใใใใใใใฏๅฒๅฝใฆใ็ใใชใใไธกๆนใ ใใจใใใใจใซ่ช็บใใใ fact15: ใๅฟใใพใใใจใใใใจใฏ่ตทใใใชใใใใใๅฒๅฝใฆใฏ่ตทใใใใจใใใใจใฏใใใคใใจใใใใจใฏ่ตทใใใจใใใใจใใใฃใใใ fact16: ใใใใใใใซๅฅใใใจใฏ่ตทใใชใใชใใฐ็ใฃ้ปใใจใใใใจใจใใใคใใจใใใใจไธกๆนใ่ตทใใ fact17: ่ปขใใใใจใฏ่ตทใใใชใ fact18: ใใๅฟใใพใใใจใใใใจใฏ็ใใชใใชใใฐใตใฟใใ ใใใจใ็ใใใๅฝซใใใใใใใใจใ่ตทใใ | fact1: ยฌ({G} & {C}) -> ยฌ{C} fact2: ยฌ(ยฌ{K} & ยฌ{I}) -> {I} fact3: ยฌ({ES} & ยฌ{B}) -> ยฌ{ES} fact4: ยฌ{J} -> ยฌ(ยฌ{K} & ยฌ{I}) fact5: ยฌ{C} -> ยฌ({ES} & ยฌ{B}) fact6: {F} -> ({G} v ยฌ{E}) fact7: {N} -> ยฌ(ยฌ{L} v {M}) fact8: {A} fact9: ยฌ{B} fact10: ยฌ({K} & {I}) -> ยฌ{I} fact11: {C} -> ยฌ({A} & ยฌ{B}) fact12: ยฌ(ยฌ{L} v {M}) -> ยฌ{J} fact13: ยฌ{E} -> ({C} & {D}) fact14: ({G} v ยฌ{E}) -> ยฌ{E} fact15: {F} -> (ยฌ{D} & {E}) fact16: ยฌ{I} -> ({H} & {F}) fact17: ยฌ{CT} fact18: ยฌ{D} -> ({FR} & {A}) | [
"fact8 & fact9 -> hypothesis;"
] | [
"fact8 & fact9 -> hypothesis;"
] | ใตใฟใใ ใใใจใ่ตทใใใใชใใใชใใผใทใงใณใ่ตทใใชใ | ({FR} & ยฌ{ES}) | [] | 8 | 1 | 1 | 16 | 0 | 16 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใใพใใใใจใใใใจใจ็ดฐใใใใจใใใใจไธกๆนใฏ็บ็ใใใใจใใใใจใๅฝใ ใใจใใใใจใฏๆใ็ซใฆใฐ็ดฐใใใใจใใใใจใฏ็ใใชใ fact2: ใใใใพใใใใใจใ่ตทใใชใใฆใใใใใซๅฅใใใจใ่ตทใใใชใใใจใใใใจใไบๅฎใ ใจใใใใจใใชใใชใใฐใใใใใซๅฅใใใจใ็บ็ใใ fact3: ใใใใชใใใชใใผใทใงใณใ่ตทใใใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใๅฝใชใใฐใชใใใชใใผใทใงใณใฏ็บ็ใใชใ fact4: ใใๅใใฏ็ใใชใใชใใฐใใใพใใใใใจใฏ่ตทใใใชใใฆใใใใใซๅฅใใใจใ็ใใชใใใจใใใใจใฏๆญฃใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact5: ใใใ็ดฐใใใใจใใใใจใ็บ็ใใชใใใจใใใใจใๆใ็ซใฆใฐใใใชใใใชใใผใทใงใณใฏ็ใใใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใไบๅฎใ ใใจใใใใจใฏไบๅฎใ ใจใใใใจใใชใ fact6: ใใใใคใใจใใใใจใ็ใใใใจใใใใจใฏใใพใใใใจใใใใจใ็ใใใใจใใใใจใใใใใฏใๅฒๅฝใฆใฏ่ตทใใใชใใใจใใใใจใใใใใฏไธกๆนใใใใใ fact7: ใใใใใใใใจใใใใจใ็ใใใฐใๅฎๅฐใฏ่ตทใใใชใใใใใใฏ็ฆ็ฆใใใจใใใใจใฏ่ตทใใใไธกๆนใ ใใจใใใใจใฏ่ชคใใ fact8: ๅฝซใใใใใใใใจใฏ็บ็ใใ fact9: ใใใใจใใใใจใ่ตทใใชใ fact10: ใใใใพใใใใใจใจใใใใใซๅฅใใใจไธกๆนใ่ตทใใใใจใใใใจใฏๅใชใใฐใใใใใซๅฅใใใจใฏ็ใใชใ fact11: ใใ็ดฐใใใใจใใใใจใฏ่ตทใใใฐใๅฝซใใใใใใใใจใฏ่ตทใใใใใใใใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใใชใ fact12: ใใใๅฎๅฐใ็ใใชใใ็ฆ็ฆใใใจใใใใจใฏ่ตทใใใไธกๆนใ ใใจใใใใจใฏ่ชคใใชใใฐๅใใ็ใใชใ fact13: ใใๅฒๅฝใฆใฏ่ตทใใใชใใชใใฐ็ดฐใใใใจใใใใจใจๅฟใใพใใใจใใใใจไธกๆนใ่ตทใใ fact14: ๅฒๅฝใฆใ่ตทใใชใใจใใใใจใฏใใพใใใใจใใใใจใ่ตทใใใใใใใฏๅฒๅฝใฆใ็ใใชใใไธกๆนใ ใใจใใใใจใซ่ช็บใใใ fact15: ใๅฟใใพใใใจใใใใจใฏ่ตทใใใชใใใใใๅฒๅฝใฆใฏ่ตทใใใใจใใใใจใฏใใใคใใจใใใใจใฏ่ตทใใใจใใใใจใใใฃใใใ fact16: ใใใใใใใซๅฅใใใจใฏ่ตทใใชใใชใใฐ็ใฃ้ปใใจใใใใจใจใใใคใใจใใใใจไธกๆนใ่ตทใใ fact17: ่ปขใใใใจใฏ่ตทใใใชใ fact18: ใใๅฟใใพใใใจใใใใจใฏ็ใใชใใชใใฐใตใฟใใ ใใใจใ็ใใใๅฝซใใใใใใใใจใ่ตทใใ ; $hypothesis$ = ใใๅฝซใใใใใใใใจใ่ตทใใใใใใใใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๆใ็ซใคใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ ; $proof$ = | fact8 & fact9 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ({G} & {C}) -> ยฌ{C} fact2: ยฌ(ยฌ{K} & ยฌ{I}) -> {I} fact3: ยฌ({ES} & ยฌ{B}) -> ยฌ{ES} fact4: ยฌ{J} -> ยฌ(ยฌ{K} & ยฌ{I}) fact5: ยฌ{C} -> ยฌ({ES} & ยฌ{B}) fact6: {F} -> ({G} v ยฌ{E}) fact7: {N} -> ยฌ(ยฌ{L} v {M}) fact8: {A} fact9: ยฌ{B} fact10: ยฌ({K} & {I}) -> ยฌ{I} fact11: {C} -> ยฌ({A} & ยฌ{B}) fact12: ยฌ(ยฌ{L} v {M}) -> ยฌ{J} fact13: ยฌ{E} -> ({C} & {D}) fact14: ({G} v ยฌ{E}) -> ยฌ{E} fact15: {F} -> (ยฌ{D} & {E}) fact16: ยฌ{I} -> ({H} & {F}) fact17: ยฌ{CT} fact18: ยฌ{D} -> ({FR} & {A}) ; $hypothesis$ = ยฌ({A} & ยฌ{B}) ; $proof$ = | fact8 & fact9 -> hypothesis; __DISPROVED__ |
0.3 | ใใใฎใดใซใใฏใฉใใฏ็ๆทฑใใใใใ้ฃใ็ซใคใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ | ยฌ({AA}{aa} & {AB}{aa}) | fact1: ใใใฏๅน็ฐใงใใฃใฆไธญๅฝใใฏใใใใใฎใจใใใใฎใฏใชใ fact2: ๅบๆใใฏ็ธฎใพใใจใใใใจใฏใชใใใใใๆจซ้ๅดใๆฟกใใใผใค fact3: ใใใฏ้็ฎใซใใฆใฏใใใใใใๆฝฎ้ ญใซใใใจใใใจใใใใฎใใชใ fact4: ใใใฏๆขใใใฑใใใ ใจใใใใฎใใชใ fact5: ใใใใใใฎใ็ธฎใพใใจใใใใจใใชใใชใใฐใใใใฏใใ ใใ ใใใฆใใใฏ็ๆทฑใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact6: ใใใใใใฎใฏใใใใใใ fact7: ๅ
จใฆใฎใใฎใฏ็ๆทฑใใ็ธฎใพใใจใใใใจใฏใชใ fact8: ใใใฏๅๆฅใ ใๅ
ญใคใใใณใใใใจใใใใฎใฏใชใ fact9: ใใใใใใจใใใใใใใฏๅฉ่ฑใ ใจใใใใฎใฏใชใ fact10: ใใใฎใฏใฑใฎใ้ฃใ็ซใคใใใใใใใใใใใใจใใใใจใฏๆใ็ซใใชใ | fact1: (x): ยฌ({HA}x & {ER}x) fact2: (x): {C}x -> (ยฌ{A}x & {B}x) fact3: (x): ยฌ({CE}x & {CB}x) fact4: (x): ยฌ({IN}x & {N}x) fact5: (x): ยฌ{A}x -> ยฌ({GN}x & {AA}x) fact6: (x): {D}x fact7: (x): ({AA}x & ยฌ{A}x) fact8: (x): ยฌ({CR}x & {GS}x) fact9: (x): ยฌ({DL}x & {FI}x) fact10: ยฌ({AB}{bo} & {HI}{bo}) | [] | [] | ใใฎใดใซใใฏใฉใใฏ็ๆทฑใใฆ้ฃใ็ซใค | ({AA}{aa} & {AB}{aa}) | [
"fact11 -> int1: ใใฎใดใซใใฏใฉใใฏ็ๆทฑใใใฎใงใใฃใฆ็ธฎใพใใจใใใใจใฏใชใใใฎ; int1 -> int2: ใใฎใดใซใใฏใฉใใ็ๆทฑใ;"
] | 4 | 1 | null | 10 | 0 | 10 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใฏๅน็ฐใงใใฃใฆไธญๅฝใใฏใใใใใฎใจใใใใฎใฏใชใ fact2: ๅบๆใใฏ็ธฎใพใใจใใใใจใฏใชใใใใใๆจซ้ๅดใๆฟกใใใผใค fact3: ใใใฏ้็ฎใซใใฆใฏใใใใใใๆฝฎ้ ญใซใใใจใใใจใใใใฎใใชใ fact4: ใใใฏๆขใใใฑใใใ ใจใใใใฎใใชใ fact5: ใใใใใใฎใ็ธฎใพใใจใใใใจใใชใใชใใฐใใใใฏใใ ใใ ใใใฆใใใฏ็ๆทฑใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact6: ใใใใใใฎใฏใใใใใใ fact7: ๅ
จใฆใฎใใฎใฏ็ๆทฑใใ็ธฎใพใใจใใใใจใฏใชใ fact8: ใใใฏๅๆฅใ ใๅ
ญใคใใใณใใใใจใใใใฎใฏใชใ fact9: ใใใใใใจใใใใใใใฏๅฉ่ฑใ ใจใใใใฎใฏใชใ fact10: ใใใฎใฏใฑใฎใ้ฃใ็ซใคใใใใใใใใใใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใใใฎใดใซใใฏใฉใใฏ็ๆทฑใใใใใ้ฃใ็ซใคใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ยฌ({HA}x & {ER}x) fact2: (x): {C}x -> (ยฌ{A}x & {B}x) fact3: (x): ยฌ({CE}x & {CB}x) fact4: (x): ยฌ({IN}x & {N}x) fact5: (x): ยฌ{A}x -> ยฌ({GN}x & {AA}x) fact6: (x): {D}x fact7: (x): ({AA}x & ยฌ{A}x) fact8: (x): ยฌ({CR}x & {GS}x) fact9: (x): ยฌ({DL}x & {FI}x) fact10: ยฌ({AB}{bo} & {HI}{bo}) ; $hypothesis$ = ยฌ({AA}{aa} & {AB}{aa}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใใฎใฏใฎใใฏ่ก็ใชใใฐใใใใๆๅฎถใซไฝใใใจใใใใจใใชใใใใใใฏใใใๅใพใใใใจใใใใจใฏ่ชคใใ | {A}{aa} -> ยฌ(ยฌ{AA}{aa} v {AB}{aa}) | fact1: ใใใใใฎใฏใฎใใ่ก็ใ ใใจใใใใจใฏๆใ็ซใฆใฐใใใใๆๅฎถใซไฝใใใใใใใฏๅใพใใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact2: ใใใใใใฎใฏ่ก็ใชใใฐใใใใๆๅฎถใซไฝใใใจใใใใจใฏใชใใๅใพใใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact3: ใใไฝใใ่ขด่
ฐๅฑฑใซใฉใใใฐใใใใๅธๆใใชใ ใ่พผใใจใใใใจใใชใใใใใฏ็ขๅใ ใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact4: ่ก็ใๅใพใใใจใใใใจใฏใชใ fact5: ่ก็ใๆๅฎถใซไฝใใชใใใใใใฏๅใพใใใใใใใฏไธกๆนใ fact6: ใใใใฎใฏใฎใใ่ก็ใชใใฐใใใฏๅใพใใใชใ fact7: ใใใใฎใฏใฎใใฏ่ก็ใชใใฐใใใๆๅฎถใซไฝใใใจใใใใจใใชใใใใใใฏใใใๅใพใใ fact8: ใใใใใใฎใฏ่ก็ใชใใฐใใใใฏๆๅฎถใซไฝใใใๅใพใใใไธกๆนใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ fact9: ใใใใฎใฏใฎใใ็ขๅใชใใฐใใใใ่ก็ใ ใจใใใใจใฏใชใใใใใๅฟๆดใซๆใใคใใใไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact10: ใใใใฎ็งๆใๅใพใใใชใใฐใใใใๆๆผใใใฏใใพใใใจใใใใจใฏใชใใใใใใใใใพใใใใจใใใใจใๅใ fact11: ใใใใใใฎใฏๅฎๆฒปๅฃๅฐๅใชใใฐใใใใฏไผผๅใใใจใใใใจใใชใใใใใใฏใพใใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ | fact1: {A}{aa} -> ยฌ({AA}{aa} v {AB}{aa}) fact2: (x): {A}x -> ยฌ(ยฌ{AA}x v {AB}x) fact3: (x): {DE}x -> ยฌ(ยฌ{BN}x v {CR}x) fact4: (x): {A}x -> ยฌ{AB}x fact5: (x): {A}x -> (ยฌ{AA}x v {AB}x) fact6: {A}{aa} -> ยฌ{AB}{aa} fact7: {A}{aa} -> (ยฌ{AA}{aa} v {AB}{aa}) fact8: (x): {A}x -> ยฌ({AA}x v {AB}x) fact9: {CR}{aa} -> ยฌ(ยฌ{A}{aa} v {BF}{aa}) fact10: {AB}{gj} -> ยฌ(ยฌ{FR}{gj} v {I}{gj}) fact11: (x): {DU}x -> ยฌ(ยฌ{CP}x v {P}x) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 10 | 0 | 10 | PROVED | null | PROVED | null | $facts$ = fact1: ใใใใใฎใฏใฎใใ่ก็ใ ใใจใใใใจใฏๆใ็ซใฆใฐใใใใๆๅฎถใซไฝใใใใใใใฏๅใพใใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact2: ใใใใใใฎใฏ่ก็ใชใใฐใใใใๆๅฎถใซไฝใใใจใใใใจใฏใชใใๅใพใใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact3: ใใไฝใใ่ขด่
ฐๅฑฑใซใฉใใใฐใใใใๅธๆใใชใ ใ่พผใใจใใใใจใใชใใใใใฏ็ขๅใ ใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact4: ่ก็ใๅใพใใใจใใใใจใฏใชใ fact5: ่ก็ใๆๅฎถใซไฝใใชใใใใใใฏๅใพใใใใใใใฏไธกๆนใ fact6: ใใใใฎใฏใฎใใ่ก็ใชใใฐใใใฏๅใพใใใชใ fact7: ใใใใฎใฏใฎใใฏ่ก็ใชใใฐใใใๆๅฎถใซไฝใใใจใใใใจใใชใใใใใใฏใใใๅใพใใ fact8: ใใใใใใฎใฏ่ก็ใชใใฐใใใใฏๆๅฎถใซไฝใใใๅใพใใใไธกๆนใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ fact9: ใใใใฎใฏใฎใใ็ขๅใชใใฐใใใใ่ก็ใ ใจใใใใจใฏใชใใใใใๅฟๆดใซๆใใคใใใไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact10: ใใใใฎ็งๆใๅใพใใใชใใฐใใใใๆๆผใใใฏใใพใใใจใใใใจใฏใชใใใใใใใใใพใใใใจใใใใจใๅใ fact11: ใใใใใใฎใฏๅฎๆฒปๅฃๅฐๅใชใใฐใใใใฏไผผๅใใใจใใใใจใใชใใใใใใฏใพใใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ ; $hypothesis$ = ใใใใฎใฏใฎใใฏ่ก็ใชใใฐใใใใๆๅฎถใซไฝใใใจใใใใจใใชใใใใใใฏใใใๅใพใใใใจใใใใจใฏ่ชคใใ ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{aa} -> ยฌ({AA}{aa} v {AB}{aa}) fact2: (x): {A}x -> ยฌ(ยฌ{AA}x v {AB}x) fact3: (x): {DE}x -> ยฌ(ยฌ{BN}x v {CR}x) fact4: (x): {A}x -> ยฌ{AB}x fact5: (x): {A}x -> (ยฌ{AA}x v {AB}x) fact6: {A}{aa} -> ยฌ{AB}{aa} fact7: {A}{aa} -> (ยฌ{AA}{aa} v {AB}{aa}) fact8: (x): {A}x -> ยฌ({AA}x v {AB}x) fact9: {CR}{aa} -> ยฌ(ยฌ{A}{aa} v {BF}{aa}) fact10: {AB}{gj} -> ยฌ(ยฌ{FR}{gj} v {I}{gj}) fact11: (x): {DU}x -> ยฌ(ยฌ{CP}x v {P}x) ; $hypothesis$ = {A}{aa} -> ยฌ(ยฌ{AA}{aa} v {AB}{aa}) ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ๆ ฝๅนใฏ็ใใชใ | ยฌ{B} | fact1: ใใใฃใใใจใใใใจใฏ่ตทใใ fact2: ใๅจๆณขใฏ่ตทใใชใใใจใใใใจใใใใฃใใใจใใใใจใไธกๆนใใๆจใใจใใใใจใฏ่ตทใใใใจใใใใจใซ่ช็บใใใ fact3: ใๆๅคใใจใใใใจใฏ็บ็ใใใใจใใใใจใฏ่่ฒกใใใใ ใใถใใใจใ็บ็ใใใจใใใใจใซ่ตทๅ ใใ fact4: ใใใฌในใ็ใใใใจใใใใจใๆใ็ซใค fact5: ใๅ
ฑๆฏใฏ่ตทใใใใจใใใใจใ็ท่ฃใฏ็ใใใจใใใใจใใใฃใใใ fact6: ใๅฎ่กใฏ็บ็ใใใใจใใใใจใฏ่ฑๆฏใซใฒใพใฉใใใจใฏ็บ็ใใใจใใใใจใซๅผใ่ตทใใใใ fact7: ๅฎ่กใ่ตทใใ fact8: ้ๅใฏ็บ็ใใ fact9: ๅฎ้ๅใซใใกใใฆใใใจใฏ่ตทใใชใใจใใใใจใๆจใใจใใใใจใใใใใ fact10: ใขใคใใฃใใซๅ
ใใใใใจใฏ่ตทใใชใใจใใใใจใใๅฎ้ๅใซใใกใใฆใใใจใฏ่ตทใใชใใ็ใฟ่ใใฏ็บ็ใใชใใใจใใใใจใ็บ็ใใใ fact11: ๅบฆ้ฃใใจใใใใจใฏ่ตทใใ fact12: ๅๆฐใชใใจใใใใจใฏๅฑ้บใฏ็ใใใจใใใใจใซใใใใใใ fact13: ๆ ฝๅนใฏใใใใฃใใใจใใใใจใจๅจๆณขไธกๆนใฏ็ใใใใจใใใใจใซๅถๆญขใใใ fact14: ๆคๆฃใซใใใใใใใใจใ่ตทใใใจใใใใจใฏ่ณ่ณใฏ่ตทใใใจใใใใจใซใใใใใใ fact15: ใใใๅจๆณขใ่ตทใใใชใใใใใฃใใใจใใใใจใฏ่ตทใใใใใใใฏไธกๆนใ ใใจใใใใจใ็ๅฎใงใชใใชใใฐๆ ฝๅนใฏ่ตทใใชใ | fact1: {A} fact2: {D} -> (ยฌ{C} v {A}) fact3: {ED} -> {BM} fact4: {EO} fact5: {HD} -> {EE} fact6: {R} -> {EI} fact7: {EI} fact8: {EJ} fact9: ยฌ{E} -> {D} fact10: ยฌ{G} -> (ยฌ{E} & ยฌ{F}) fact11: {HF} fact12: {CL} -> {GR} fact13: ({A} & {C}) -> ยฌ{B} fact14: {JJ} -> {CJ} fact15: ยฌ(ยฌ{C} v {A}) -> ยฌ{B} | [] | [] | ๆ ฝๅนใ่ตทใใชใ | ยฌ{B} | [] | 8 | 1 | null | 14 | 0 | 14 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใฃใใใจใใใใจใฏ่ตทใใ fact2: ใๅจๆณขใฏ่ตทใใชใใใจใใใใจใใใใฃใใใจใใใใจใไธกๆนใใๆจใใจใใใใจใฏ่ตทใใใใจใใใใจใซ่ช็บใใใ fact3: ใๆๅคใใจใใใใจใฏ็บ็ใใใใจใใใใจใฏ่่ฒกใใใใ ใใถใใใจใ็บ็ใใใจใใใใจใซ่ตทๅ ใใ fact4: ใใใฌในใ็ใใใใจใใใใจใๆใ็ซใค fact5: ใๅ
ฑๆฏใฏ่ตทใใใใจใใใใจใ็ท่ฃใฏ็ใใใจใใใใจใใใฃใใใ fact6: ใๅฎ่กใฏ็บ็ใใใใจใใใใจใฏ่ฑๆฏใซใฒใพใฉใใใจใฏ็บ็ใใใจใใใใจใซๅผใ่ตทใใใใ fact7: ๅฎ่กใ่ตทใใ fact8: ้ๅใฏ็บ็ใใ fact9: ๅฎ้ๅใซใใกใใฆใใใจใฏ่ตทใใชใใจใใใใจใๆจใใจใใใใจใใใใใ fact10: ใขใคใใฃใใซๅ
ใใใใใจใฏ่ตทใใชใใจใใใใจใใๅฎ้ๅใซใใกใใฆใใใจใฏ่ตทใใชใใ็ใฟ่ใใฏ็บ็ใใชใใใจใใใใจใ็บ็ใใใ fact11: ๅบฆ้ฃใใจใใใใจใฏ่ตทใใ fact12: ๅๆฐใชใใจใใใใจใฏๅฑ้บใฏ็ใใใจใใใใจใซใใใใใใ fact13: ๆ ฝๅนใฏใใใใฃใใใจใใใใจใจๅจๆณขไธกๆนใฏ็ใใใใจใใใใจใซๅถๆญขใใใ fact14: ๆคๆฃใซใใใใใใใใจใ่ตทใใใจใใใใจใฏ่ณ่ณใฏ่ตทใใใจใใใใจใซใใใใใใ fact15: ใใใๅจๆณขใ่ตทใใใชใใใใใฃใใใจใใใใจใฏ่ตทใใใใใใใฏไธกๆนใ ใใจใใใใจใ็ๅฎใงใชใใชใใฐๆ ฝๅนใฏ่ตทใใชใ ; $hypothesis$ = ๆ ฝๅนใฏ็ใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: {D} -> (ยฌ{C} v {A}) fact3: {ED} -> {BM} fact4: {EO} fact5: {HD} -> {EE} fact6: {R} -> {EI} fact7: {EI} fact8: {EJ} fact9: ยฌ{E} -> {D} fact10: ยฌ{G} -> (ยฌ{E} & ยฌ{F}) fact11: {HF} fact12: {CL} -> {GR} fact13: ({A} & {C}) -> ยฌ{B} fact14: {JJ} -> {CJ} fact15: ยฌ(ยฌ{C} v {A}) -> ยฌ{B} ; $hypothesis$ = ยฌ{B} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใๆฐๆค่ฆๅทใงใชใใๆทใใใจใใใใจใใชใใใจใใใใจใฏ่ชคใใชใใใฎใใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ | ยฌ((Ex): ยฌ(ยฌ{AA}x & ยฌ{AB}x)) | fact1: ใใไฝใใฏใขใธใใจใใใใจใใชใใชใใฐใใใๆจๆขถใใใใใ็ชๅบใใ fact2: ใใๆฐๆค่ฆๅทใ ใจใใใใจใฏใชใใๆทใใใใจใใใใจใ้้ใใชใใใฎใฏใใ fact3: ใใใ็กใใชใใๅธธ็คๅบ็ทใ ใจใใใใจใใชใใใจใใใใจใฏ็ๅฎใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใใใฎใใใ fact4: ใใใ้้ใใใชใใๅ็ฌใงใชใใใใฎใใใใฐใใฎ่พบๅขใฏใขใธใใจใใใใจใใชใ fact5: ใใใใคใใใใฎใงใใฃใฆๅนณไธญ้ไฟฃใซ้ฆดๆใใใฎใใจใใใใจใฏๅฝใชใใใฎใใใ fact6: ใใใใฎๆฏใ่
ใ่
็ก็ฐ้ทใซใใใใใใจใใใใจใใชใใชใใฐใใใ้้ใใใจใใใใจใใชใใๅ็ฌใ ใจใใใใจใใชใ fact7: ใใใใฎ่พบๅขใๆจๆขถใใใใใฐใใฎไธปไปปใใบใใณใใใ fact8: ใใใใใใคใใใใฎใงใใฃใฆๅนณไธญ้ไฟฃใซ้ฆดๆใใใฎใใจใใใใจใฏๆใ็ซใใชใใใใฎใใใใฐใใฎใๆผใฏๅนณไธญ้ไฟฃใซ้ฆดๆใใจใใใใจใฏใชใ fact9: ใใๆฐๆค่ฆๅทใ ใๆทใใใชใใใจใใใใจใ่ชคใใชใใใฎใใใ fact10: ใใใๅนณไธญ้ไฟฃใซ้ฆดๆใใจใใใใจใฏใชใใใใฎใฏใใใฐใใใฎๅทใๅผใใใ่
็ก็ฐ้ทใซใใใใใใจใใใใจใใชใใใจใใใใจใๆใ็ซใใชใ fact11: ใใไฝใใฏใบใใณใใใชใใฐใใใใฏไธญ่ฆๆจกใงใชใใ่ผใใใใจใใใใจใใชใใใจใใใใจใฏ้้ใใ fact12: ใใ้ขใฏใใใชใใ้คจๅใๆใกๅบใใชใใใจใใใใจใ่ชคใใชใใใฎใฏใใ fact13: ใใใฎๅทพใฏๆฐๆค่ฆๅทใงใชใใฆๆทใใใจใใใใจใฏใชใใใจใใใใจใฏๆญฃใใใจใใใใจใใชใ fact14: ใใใฎๅทพใๆฐๆค่ฆๅทใ ใจใใใใจใใชใใๆทใใใใจใใใใจใไบๅฎใจ็ฐใชใ fact15: ใใใใใฎๅทใฏๅผใใใใใใใใใฏ่
็ก็ฐ้ทใซใใใใใชใใใจใใใใจใ้้ใใชใใฐใใฎๆฏใ่
ใ่
็ก็ฐ้ทใซใใใใใชใ fact16: ใใใใฎใๆฐๆค่ฆๅทใ ใจใใใใจใฏใชใใฆใใใฏๆทใใใจใใใใจใฏใชใ fact17: ใใใฎๅทพใๆฐๆค่ฆๅทใ ใใใใๆทใใใชใใใจใใใใจใฏ้้ใใ | fact1: (x): ยฌ{D}x -> ({B}x & {C}x) fact2: (Ex): ยฌ(ยฌ{AA}x & {AB}x) fact3: (Ex): ยฌ(ยฌ{DC}x & ยฌ{DH}x) fact4: (x): (ยฌ{E}x & ยฌ{F}x) -> ยฌ{D}{b} fact5: (Ex): ยฌ({K}x & {I}x) fact6: ยฌ{G}{c} -> (ยฌ{E}{c} & ยฌ{F}{c}) fact7: {B}{b} -> {A}{a} fact8: (x): ยฌ({K}x & {I}x) -> ยฌ{I}{e} fact9: (Ex): ยฌ({AA}x & ยฌ{AB}x) fact10: (x): ยฌ{I}x -> ยฌ({H}{d} & ยฌ{G}{d}) fact11: (x): {A}x -> ยฌ(ยฌ{AL}x & ยฌ{BL}x) fact12: (Ex): ยฌ(ยฌ{II}x & ยฌ{HU}x) fact13: ยฌ(ยฌ{AA}{aa} & ยฌ{AB}{aa}) fact14: ยฌ(ยฌ{AA}{aa} & {AB}{aa}) fact15: ยฌ({H}{d} & ยฌ{G}{d}) -> ยฌ{G}{c} fact16: (Ex): (ยฌ{AA}x & ยฌ{AB}x) fact17: ยฌ({AA}{aa} & ยฌ{AB}{aa}) | [
"fact13 -> hypothesis;"
] | [
"fact13 -> hypothesis;"
] | ใใไธญ่ฆๆจกใ ใจใใใใจใใชใใฆ่ผใใใใชใใใจใใใใจใไบๅฎใจ็ฐใชใใใใฎใใใ | (Ex): ยฌ(ยฌ{AL}x & ยฌ{BL}x) | [
"fact23 -> int1: ใใใใฎไธปไปปใฏใบใใณใใใชใใฐใใใใไธญ่ฆๆจกใงใชใใฆ่ผใใใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ; fact19 -> int2: ใใใใฎ่พบๅขใใขใธใใจใใใใจใใชใใชใใฐใใใๆจๆขถใใใใใ็ชๅบใใ ; fact24 & fact25 -> int3: ใใฎใๆผใๅนณไธญ้ไฟฃใซ้ฆดๆใใจใใใใจใใชใ; int3 -> int4: ใๅนณไธญ้ไฟฃใซ้ฆดๆใพใชใใใใฎใใใ; int4 & fact21 -> int5: ใใใฎๅทใฏๅผใใใใใใใใใ่
็ก็ฐ้ทใซใใใใใใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ; fact22 & int5 -> int6: ใใฎๆฏใ่
ใ่
็ก็ฐ้ทใซใใใใใใจใใใใจใฏใชใ; fact26 & int6 -> int7: ใใใฎๆฏใ่
ใ้้ใใใจใใใใจใใชใใฆใใใๅ็ฌใ ใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใค; int7 -> int8: ใใใใฎใฏ้้ใใใจใใใใจใใชใใใฎใงใใฃใฆๅ็ฌใ ใจใใใใจใใชใใใฎ; int8 & fact20 -> int9: ใใฎ่พบๅขใใขใธใใชใ; int2 & int9 -> int10: ใใฎ่พบๅขใๆจๆขถใใใใใ็ชๅบใใ ; int10 -> int11: ใใฎ่พบๅขใฏๆจๆขถใใใใ; fact18 & int11 -> int12: ใใฎไธปไปปใใบใใณใใใ ; int1 & int12 -> int13: ใใใฎไธปไปปใฏไธญ่ฆๆจกใงใชใใฆใใใฏ่ผใใใใจใใใใจใฏใชใใใจใใใใจใๆฌๅฝใงใชใ; int13 -> hypothesis;"
] | 12 | 1 | 1 | 16 | 0 | 16 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ใใไฝใใฏใขใธใใจใใใใจใใชใใชใใฐใใใๆจๆขถใใใใใ็ชๅบใใ fact2: ใใๆฐๆค่ฆๅทใ ใจใใใใจใฏใชใใๆทใใใใจใใใใจใ้้ใใชใใใฎใฏใใ fact3: ใใใ็กใใชใใๅธธ็คๅบ็ทใ ใจใใใใจใใชใใใจใใใใจใฏ็ๅฎใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใใใฎใใใ fact4: ใใใ้้ใใใชใใๅ็ฌใงใชใใใใฎใใใใฐใใฎ่พบๅขใฏใขใธใใจใใใใจใใชใ fact5: ใใใใคใใใใฎใงใใฃใฆๅนณไธญ้ไฟฃใซ้ฆดๆใใใฎใใจใใใใจใฏๅฝใชใใใฎใใใ fact6: ใใใใฎๆฏใ่
ใ่
็ก็ฐ้ทใซใใใใใใจใใใใจใใชใใชใใฐใใใ้้ใใใจใใใใจใใชใใๅ็ฌใ ใจใใใใจใใชใ fact7: ใใใใฎ่พบๅขใๆจๆขถใใใใใฐใใฎไธปไปปใใบใใณใใใ fact8: ใใใใใใคใใใใฎใงใใฃใฆๅนณไธญ้ไฟฃใซ้ฆดๆใใใฎใใจใใใใจใฏๆใ็ซใใชใใใใฎใใใใฐใใฎใๆผใฏๅนณไธญ้ไฟฃใซ้ฆดๆใใจใใใใจใฏใชใ fact9: ใใๆฐๆค่ฆๅทใ ใๆทใใใชใใใจใใใใจใ่ชคใใชใใใฎใใใ fact10: ใใใๅนณไธญ้ไฟฃใซ้ฆดๆใใจใใใใจใฏใชใใใใฎใฏใใใฐใใใฎๅทใๅผใใใ่
็ก็ฐ้ทใซใใใใใใจใใใใจใใชใใใจใใใใจใๆใ็ซใใชใ fact11: ใใไฝใใฏใบใใณใใใชใใฐใใใใฏไธญ่ฆๆจกใงใชใใ่ผใใใใจใใใใจใใชใใใจใใใใจใฏ้้ใใ fact12: ใใ้ขใฏใใใชใใ้คจๅใๆใกๅบใใชใใใจใใใใจใ่ชคใใชใใใฎใฏใใ fact13: ใใใฎๅทพใฏๆฐๆค่ฆๅทใงใชใใฆๆทใใใจใใใใจใฏใชใใใจใใใใจใฏๆญฃใใใจใใใใจใใชใ fact14: ใใใฎๅทพใๆฐๆค่ฆๅทใ ใจใใใใจใใชใใๆทใใใใจใใใใจใไบๅฎใจ็ฐใชใ fact15: ใใใใใฎๅทใฏๅผใใใใใใใใใฏ่
็ก็ฐ้ทใซใใใใใชใใใจใใใใจใ้้ใใชใใฐใใฎๆฏใ่
ใ่
็ก็ฐ้ทใซใใใใใชใ fact16: ใใใใฎใๆฐๆค่ฆๅทใ ใจใใใใจใฏใชใใฆใใใฏๆทใใใจใใใใจใฏใชใ fact17: ใใใฎๅทพใๆฐๆค่ฆๅทใ ใใใใๆทใใใชใใใจใใใใจใฏ้้ใใ ; $hypothesis$ = ใใใๆฐๆค่ฆๅทใงใชใใๆทใใใจใใใใจใใชใใใจใใใใจใฏ่ชคใใชใใใฎใใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ ; $proof$ = | fact13 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{D}x -> ({B}x & {C}x) fact2: (Ex): ยฌ(ยฌ{AA}x & {AB}x) fact3: (Ex): ยฌ(ยฌ{DC}x & ยฌ{DH}x) fact4: (x): (ยฌ{E}x & ยฌ{F}x) -> ยฌ{D}{b} fact5: (Ex): ยฌ({K}x & {I}x) fact6: ยฌ{G}{c} -> (ยฌ{E}{c} & ยฌ{F}{c}) fact7: {B}{b} -> {A}{a} fact8: (x): ยฌ({K}x & {I}x) -> ยฌ{I}{e} fact9: (Ex): ยฌ({AA}x & ยฌ{AB}x) fact10: (x): ยฌ{I}x -> ยฌ({H}{d} & ยฌ{G}{d}) fact11: (x): {A}x -> ยฌ(ยฌ{AL}x & ยฌ{BL}x) fact12: (Ex): ยฌ(ยฌ{II}x & ยฌ{HU}x) fact13: ยฌ(ยฌ{AA}{aa} & ยฌ{AB}{aa}) fact14: ยฌ(ยฌ{AA}{aa} & {AB}{aa}) fact15: ยฌ({H}{d} & ยฌ{G}{d}) -> ยฌ{G}{c} fact16: (Ex): (ยฌ{AA}x & ยฌ{AB}x) fact17: ยฌ({AA}{aa} & ยฌ{AB}{aa}) ; $hypothesis$ = ยฌ((Ex): ยฌ(ยฌ{AA}x & ยฌ{AB}x)) ; $proof$ = | fact13 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใใใจใใใใจใฏ็บ็ใใชใใๅใใใใจใ็ใใชใ | (ยฌ{AA} & ยฌ{AB}) | fact1: ใใใใใใจใใใใจใ็ใใชใใฆๅใใใใจใ็บ็ใใชใ fact2: ๅใใใใจใ็บ็ใใชใ | fact1: (ยฌ{AA} & ยฌ{AB}) fact2: ยฌ{AB} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 0 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ใใใใใใจใใใใจใ็ใใชใใฆๅใใใใจใ็บ็ใใชใ fact2: ๅใใใใจใ็บ็ใใชใ ; $hypothesis$ = ใใใใใใจใใใใจใฏ็บ็ใใชใใๅใใใใจใ็ใใชใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (ยฌ{AA} & ยฌ{AB}) fact2: ยฌ{AB} ; $hypothesis$ = (ยฌ{AA} & ยฌ{AB}) ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใ็ง็ใงใฏใชใ่ฟใๅฟ ใ็บ็ใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ | ยฌ(ยฌ{A} & {B}) | fact1: ่ฟใๅฟ ใ็บ็ใใ fact2: ใใใ่ฌใฏ่ตทใใชใใ็็ฐใๆผ้ ใใใจใ็บ็ใใชใใใจใใใใจใ็ๅฎใ ใจใใใใจใฏใชใใชใใฐใ่ฌใฏ็ใใใใจใใใใจใไบๅฎใ fact3: ใใฆใฅใใใจใใใใจใ็บ็ใใใใจใใใใจใๆใ็ซใค fact4: ใใใใใใใใจใใใใจใ็ใใใฐ้ๆฐดใใใใฏใใใใจใฏ็ใใชใใใฒใฃใใใใใใใจใ็บ็ใใชใ fact5: ใใขใ ใในใใฃใฏ่ตทใใชใใใจใใใใจใฏใไธ้ทนๅฐใๆฑใ็ท ใใใใจใ็ใใใใใใ้ ่คใซ็ใใใใใจใฏ่ตทใใใชใใใจใใใใจใซใใ็ใใ fact6: ใๅบ็คใ่ตทใใใ่ฒๆใซๅทฎใๅใใใใจใ็ใใใใจใใใใจใใขใ ใในใใฃใฏ่ตทใใชใใจใใใใจใซใใ็บ็ใใ fact7: ็ง็ใ่ตทใใชใ fact8: ใ็ซใกไปฃใใใใจใ่ตทใใใชใใฆใใฌใใผใฏใใใณใคใฅใใใใจใฏ็ใใชใใใจใใใใจใฏ่ฌใซ่ตทๅ ใใ fact9: ใใใณใฏใใจใใใใจใ่ตทใใใชใใชใใฐใ่ฌใ็บ็ใใชใใ็็ฐใๆผ้ ใใใจใ่ตทใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ fact10: ใณใฏใใจใใใใจใฏ่ตทใใใจใใใใจใๅบ็คใ่ตทใใใจใใใใจใซ้ฒใใใ fact11: ใใไฝ็ฝฐใฏ่ตทใใใชใใชใใฐใ็ง็ใฏ็บ็ใใชใใ่ฟใๅฟ ใฏ่ตทใใใใจใใใใจใฏ็ๅฎใงใชใ fact12: ใ็ซใกไปฃใใใใจใ็บ็ใใชใใใจใใใใจใฏใใใใใใใจใใใใจใจใญใทใฃใดใ้ปดใณใใใจไธกๆนใฏ่ตทใใใใจใใใใจใๅผใ่ตทใใ fact13: ใไฝ็ฝฐใ่ตทใใใชใใใชใใงใณในใ่ตทใใใชใใใจใใใใจใใฒใฃใใใใใใใจใ็ใใชใใจใใใใจใซๅผใ่ตทใใใใ fact14: ไธ้ทนๅฐใๆฑใ็ท ใใใใจใ็ใใ | fact1: {B} fact2: ยฌ(ยฌ{K} & ยฌ{L}) -> {K} fact3: {CK} fact4: {G} -> (ยฌ{F} & ยฌ{E}) fact5: ({R} & ยฌ{Q}) -> ยฌ{P} fact6: ยฌ{P} -> ({N} & {O}) fact7: ยฌ{A} fact8: {K} -> (ยฌ{I} & ยฌ{J}) fact9: ยฌ{M} -> ยฌ(ยฌ{K} & ยฌ{L}) fact10: {N} -> ยฌ{M} fact11: ยฌ{C} -> ยฌ(ยฌ{A} & {B}) fact12: ยฌ{I} -> ({G} & {H}) fact13: ยฌ{E} -> (ยฌ{C} & ยฌ{D}) fact14: {R} | [
"fact7 & fact1 -> hypothesis;"
] | [
"fact7 & fact1 -> hypothesis;"
] | ใ็ง็ใ็บ็ใใชใใ่ฟใๅฟ ใ็บ็ใใใใจใใใใจใฏๅฝใ | ยฌ(ยฌ{A} & {B}) | [] | 16 | 1 | 1 | 12 | 0 | 12 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ่ฟใๅฟ ใ็บ็ใใ fact2: ใใใ่ฌใฏ่ตทใใชใใ็็ฐใๆผ้ ใใใจใ็บ็ใใชใใใจใใใใจใ็ๅฎใ ใจใใใใจใฏใชใใชใใฐใ่ฌใฏ็ใใใใจใใใใจใไบๅฎใ fact3: ใใฆใฅใใใจใใใใจใ็บ็ใใใใจใใใใจใๆใ็ซใค fact4: ใใใใใใใใจใใใใจใ็ใใใฐ้ๆฐดใใใใฏใใใใจใฏ็ใใชใใใฒใฃใใใใใใใจใ็บ็ใใชใ fact5: ใใขใ ใในใใฃใฏ่ตทใใชใใใจใใใใจใฏใไธ้ทนๅฐใๆฑใ็ท ใใใใจใ็ใใใใใใ้ ่คใซ็ใใใใใจใฏ่ตทใใใชใใใจใใใใจใซใใ็ใใ fact6: ใๅบ็คใ่ตทใใใ่ฒๆใซๅทฎใๅใใใใจใ็ใใใใจใใใใจใใขใ ใในใใฃใฏ่ตทใใชใใจใใใใจใซใใ็บ็ใใ fact7: ็ง็ใ่ตทใใชใ fact8: ใ็ซใกไปฃใใใใจใ่ตทใใใชใใฆใใฌใใผใฏใใใณใคใฅใใใใจใฏ็ใใชใใใจใใใใจใฏ่ฌใซ่ตทๅ ใใ fact9: ใใใณใฏใใจใใใใจใ่ตทใใใชใใชใใฐใ่ฌใ็บ็ใใชใใ็็ฐใๆผ้ ใใใจใ่ตทใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ fact10: ใณใฏใใจใใใใจใฏ่ตทใใใจใใใใจใๅบ็คใ่ตทใใใจใใใใจใซ้ฒใใใ fact11: ใใไฝ็ฝฐใฏ่ตทใใใชใใชใใฐใ็ง็ใฏ็บ็ใใชใใ่ฟใๅฟ ใฏ่ตทใใใใจใใใใจใฏ็ๅฎใงใชใ fact12: ใ็ซใกไปฃใใใใจใ็บ็ใใชใใใจใใใใจใฏใใใใใใใจใใใใจใจใญใทใฃใดใ้ปดใณใใใจไธกๆนใฏ่ตทใใใใจใใใใจใๅผใ่ตทใใ fact13: ใไฝ็ฝฐใ่ตทใใใชใใใชใใงใณในใ่ตทใใใชใใใจใใใใจใใฒใฃใใใใใใใจใ็ใใชใใจใใใใจใซๅผใ่ตทใใใใ fact14: ไธ้ทนๅฐใๆฑใ็ท ใใใใจใ็ใใ ; $hypothesis$ = ใ็ง็ใงใฏใชใ่ฟใๅฟ ใ็บ็ใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ ; $proof$ = | fact7 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: ยฌ(ยฌ{K} & ยฌ{L}) -> {K} fact3: {CK} fact4: {G} -> (ยฌ{F} & ยฌ{E}) fact5: ({R} & ยฌ{Q}) -> ยฌ{P} fact6: ยฌ{P} -> ({N} & {O}) fact7: ยฌ{A} fact8: {K} -> (ยฌ{I} & ยฌ{J}) fact9: ยฌ{M} -> ยฌ(ยฌ{K} & ยฌ{L}) fact10: {N} -> ยฌ{M} fact11: ยฌ{C} -> ยฌ(ยฌ{A} & {B}) fact12: ยฌ{I} -> ({G} & {H}) fact13: ยฌ{E} -> (ยฌ{C} & ยฌ{D}) fact14: {R} ; $hypothesis$ = ยฌ(ยฌ{A} & {B}) ; $proof$ = | fact7 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใฏใญใผใบใขใใใ็ฝใ | {A}{a} | fact1: ใใใใใฎใใคใฏใญใใญใปใใตใใจใใใ ใใใใใใใใใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐใใใใจใใใ ใจใใใใจใฏใชใ fact2: ใใใใฎใฏใญใผใบใขใใใๆๅผทใใชใใฐใใใฎใซใใงใผใฏ็ฝใใชใใใใใใใใๅคๆฒป่ฆใใใใใใใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact3: ใใไฝใใ่ใใใใใชใใชใใฐใใใใๆงใณใใ้ฎๅๅ็ฐใ ใใจใใใใจใฏๅฝใ fact4: ๅ
จใฆใฎใใฎใ่ใใใใใจใใใใจใใชใ fact5: ใใ้ ่ฆใฑๅใฏใใใฐใใใฎใใคใฏใญใใญใปใใตใใจใใใ ใใใใใใใจใใใใจใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ fact6: ใใไฝใใๆงใณใใจใใใใจใฏใชใใชใใฐใใใฏๆๅผทใใฆ้ฎๅๅ็ฐใ fact7: ใใฎๅคๅ
ตใ้ ่ฆใฑๅใ fact8: ใใใใใจใใใ ใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใใใฎใฏใใใฐใใใฎ่ปๅถใ้ใ
ใใใใใใฏๅผตๆใ ใจใใใใจใฏใชใใใจใใใใจใฏ่ชคใใ fact9: ใใใใใฎ่ปๅถใฏ้ใ
ใใใฆๅผตๆใ ใจใใใใจใใชใใใจใใใใจใฏ่ชคใใชใใฐใใฎใฏใญใผใบใขใใใ่ใใใใใชใ fact10: ่ใใใใใชใใใฎใฏๆงใณใชใ fact11: ใใใใใใใฎใฏ็ฝใใชใใใใใๅคๆฒป่ฆใใใใใใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใชใใฐใใใฏ็ฝใ | fact1: ยฌ({I}{c} & ยฌ{K}{c}) -> ยฌ{I}{c} fact2: {B}{a} -> ยฌ(ยฌ{A}{l} & {C}{l}) fact3: (x): ยฌ{F}x -> ยฌ({E}x & {D}x) fact4: (x): ยฌ{F}x fact5: (x): {J}x -> ยฌ({I}{c} & ยฌ{K}{c}) fact6: (x): ยฌ{E}x -> ({B}x & {D}x) fact7: {J}{d} fact8: (x): ยฌ{I}x -> ยฌ({H}{b} & ยฌ{G}{b}) fact9: ยฌ({H}{b} & ยฌ{G}{b}) -> ยฌ{F}{a} fact10: (x): ยฌ{F}x -> ยฌ{E}x fact11: (x): ยฌ(ยฌ{A}x & {C}x) -> {A}x | [] | [] | ใใฎใฏใญใผใบใขใใใ็ฝใใชใ | ยฌ{A}{a} | [
"fact12 -> int1: ใใใใฎๅคๅ
ตใ่ใใใใใจใใใใจใฏใชใใชใใฐใใใใฏๆงใณใใใใใ้ฎๅๅ็ฐใ ใใจใใใใจใฏๆใ็ซใใชใ; fact13 -> int2: ใใฎๅคๅ
ตใ่ใใใใใชใ; int1 & int2 -> int3: ใใใใฎๅคๅ
ตใๆงใณใใ้ฎๅๅ็ฐใ ใใจใใใใจใฏๆใ็ซใคใใจใใใใจใๅฝใ ; int3 -> int4: ใใใฏๆงใณใใ้ฎๅๅ็ฐใ ใจใใใใฎใใชใ; int4 -> int5: ใใใฎใใคใฏใญใใญใปใใตใๆงใณใใ้ฎๅๅ็ฐใ ใใจใใใใจใ็ๅฎใ ใจใใใใจใฏใชใ;"
] | 8 | 1 | null | 11 | 0 | 11 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใใฎใใคใฏใญใใญใปใใตใใจใใใ ใใใใใใใใใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐใใใใจใใใ ใจใใใใจใฏใชใ fact2: ใใใใฎใฏใญใผใบใขใใใๆๅผทใใชใใฐใใใฎใซใใงใผใฏ็ฝใใชใใใใใใใใๅคๆฒป่ฆใใใใใใใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact3: ใใไฝใใ่ใใใใใชใใชใใฐใใใใๆงใณใใ้ฎๅๅ็ฐใ ใใจใใใใจใฏๅฝใ fact4: ๅ
จใฆใฎใใฎใ่ใใใใใจใใใใจใใชใ fact5: ใใ้ ่ฆใฑๅใฏใใใฐใใใฎใใคใฏใญใใญใปใใตใใจใใใ ใใใใใใใจใใใใจใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ fact6: ใใไฝใใๆงใณใใจใใใใจใฏใชใใชใใฐใใใฏๆๅผทใใฆ้ฎๅๅ็ฐใ fact7: ใใฎๅคๅ
ตใ้ ่ฆใฑๅใ fact8: ใใใใใจใใใ ใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใใใฎใฏใใใฐใใใฎ่ปๅถใ้ใ
ใใใใใใฏๅผตๆใ ใจใใใใจใฏใชใใใจใใใใจใฏ่ชคใใ fact9: ใใใใใฎ่ปๅถใฏ้ใ
ใใใฆๅผตๆใ ใจใใใใจใใชใใใจใใใใจใฏ่ชคใใชใใฐใใฎใฏใญใผใบใขใใใ่ใใใใใชใ fact10: ่ใใใใใชใใใฎใฏๆงใณใชใ fact11: ใใใใใใใฎใฏ็ฝใใชใใใใใๅคๆฒป่ฆใใใใใใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใชใใฐใใใฏ็ฝใ ; $hypothesis$ = ใใฎใฏใญใผใบใขใใใ็ฝใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ({I}{c} & ยฌ{K}{c}) -> ยฌ{I}{c} fact2: {B}{a} -> ยฌ(ยฌ{A}{l} & {C}{l}) fact3: (x): ยฌ{F}x -> ยฌ({E}x & {D}x) fact4: (x): ยฌ{F}x fact5: (x): {J}x -> ยฌ({I}{c} & ยฌ{K}{c}) fact6: (x): ยฌ{E}x -> ({B}x & {D}x) fact7: {J}{d} fact8: (x): ยฌ{I}x -> ยฌ({H}{b} & ยฌ{G}{b}) fact9: ยฌ({H}{b} & ยฌ{G}{b}) -> ยฌ{F}{a} fact10: (x): ยฌ{F}x -> ยฌ{E}x fact11: (x): ยฌ(ยฌ{A}x & {C}x) -> {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใใฆใใฆใฏใคใพใใจใใใใจใใชใ | ยฌ{C}{a} | fact1: ใใใตใใใใฎใใใ fact2: ใไน
็ๅผใ ใๆฐๆฅๆฌ้็ ดๅฃๆคๆปใซใใใใใใใฎใฏใใ fact3: ใใฎ็ญ้
ธใใใใคใใจใใใใจใใชใ fact4: ไฝใใใใใใใใฆ็ฅๆฐดๆฌใ fact5: ใใใใตใใใฎใใใถใซๆใฟ่พผใใใฐใใฎใใฆใใฆใฏใใใใชใ fact6: ใใใใใใไฝ็จใชใใใฎใใใ fact7: ใใใๆ่ฅฟ็บๆธ
ๆฐดๆฐใซใจใใใใ็ดขใใใใฎใใใใฐใใฎๅ
่ใใคใพใพใชใ fact8: ใใฎใใฆใใฆใฏๆฅๅฅณไฝๅคงใใใผใใจใใใจใใใใจใใชใ fact9: ใใฎๆๆฏ็ด ใฏใใตใใจใใใใจใฏใชใ fact10: ใใฎใใฆใใฆใฏใใตใใจใใใใจใฏใชใ fact11: ใใใใคใใใใฎใฏใใ fact12: ใไฝใใๅๆฏๆนงๅฅใซๅฑ
ๆฎใใใๆจใใใจใใใใจใๆญฃใใ fact13: ใใไฝใใใใตใใฆใใใคใใฐใใฎใใฆใใฆใใคใพใใจใใใใจใใชใ fact14: ใใใใฎใไปๅพณๅฏบใงใใฃใฆไฝๆใ ใใฎ fact15: ใใฎใใฆใใฆใฏใใใคใใจใใใใจใใชใ fact16: ใใใใตใๅฐ็ฐๅทปใ่ธใใฏใใใฐใใฎใใฆใใฆใฏๆ่ฅฟ็บๆธ
ๆฐดๆฐใซใจใใใใจใใใใจใใชใ fact17: ใใใใฎใฏใใตใใฆใใใใใใคใ fact18: ใใใใใใฎใใใใคใใใคใใๅบงใซ่กใใใฐใใใฎใใฆใใฆใฏใฟใ
ใ็นฐใใใใชใใใจใใใใจใๆญฃใใ | fact1: (Ex): {A}x fact2: (Ex): ({I}x & {AA}x) fact3: ยฌ{B}{do} fact4: (Ex): ({FU}x & {HU}x) fact5: (x): ({A}x & {DG}x) -> ยฌ{AI}{a} fact6: (Ex): ({CM}x & {HM}x) fact7: (x): ({IU}x & {CQ}x) -> ยฌ{C}{ab} fact8: ยฌ{DJ}{a} fact9: ยฌ{A}{cu} fact10: ยฌ{A}{a} fact11: (Ex): {B}x fact12: (Ex): ({HD}x & {HE}x) fact13: (x): ({A}x & {B}x) -> ยฌ{C}{a} fact14: (Ex): ({FM}x & {K}x) fact15: ยฌ{B}{a} fact16: (x): ({HK}x & {A}x) -> ยฌ{IU}{a} fact17: (Ex): ({A}x & {B}x) fact18: (x): ({B}x & {IO}x) -> ยฌ{EN}{a} | [
"fact17 & fact13 -> hypothesis;"
] | [
"fact17 & fact13 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 16 | 0 | 16 | PROVED | null | PROVED | null | $facts$ = fact1: ใใใตใใใใฎใใใ fact2: ใไน
็ๅผใ ใๆฐๆฅๆฌ้็ ดๅฃๆคๆปใซใใใใใใใฎใฏใใ fact3: ใใฎ็ญ้
ธใใใใคใใจใใใใจใใชใ fact4: ไฝใใใใใใใใฆ็ฅๆฐดๆฌใ fact5: ใใใใตใใใฎใใใถใซๆใฟ่พผใใใฐใใฎใใฆใใฆใฏใใใใชใ fact6: ใใใใใใไฝ็จใชใใใฎใใใ fact7: ใใใๆ่ฅฟ็บๆธ
ๆฐดๆฐใซใจใใใใ็ดขใใใใฎใใใใฐใใฎๅ
่ใใคใพใพใชใ fact8: ใใฎใใฆใใฆใฏๆฅๅฅณไฝๅคงใใใผใใจใใใจใใใใจใใชใ fact9: ใใฎๆๆฏ็ด ใฏใใตใใจใใใใจใฏใชใ fact10: ใใฎใใฆใใฆใฏใใตใใจใใใใจใฏใชใ fact11: ใใใใคใใใใฎใฏใใ fact12: ใไฝใใๅๆฏๆนงๅฅใซๅฑ
ๆฎใใใๆจใใใจใใใใจใๆญฃใใ fact13: ใใไฝใใใใตใใฆใใใคใใฐใใฎใใฆใใฆใใคใพใใจใใใใจใใชใ fact14: ใใใใฎใไปๅพณๅฏบใงใใฃใฆไฝๆใ ใใฎ fact15: ใใฎใใฆใใฆใฏใใใคใใจใใใใจใใชใ fact16: ใใใใตใๅฐ็ฐๅทปใ่ธใใฏใใใฐใใฎใใฆใใฆใฏๆ่ฅฟ็บๆธ
ๆฐดๆฐใซใจใใใใจใใใใจใใชใ fact17: ใใใใฎใฏใใตใใฆใใใใใใคใ fact18: ใใใใใใฎใใใใคใใใคใใๅบงใซ่กใใใฐใใใฎใใฆใใฆใฏใฟใ
ใ็นฐใใใใชใใใจใใใใจใๆญฃใใ ; $hypothesis$ = ใใฎใใฆใใฆใฏใคใพใใจใใใใจใใชใ ; $proof$ = | fact17 & fact13 -> hypothesis; __PROVED__ | $facts$ = fact1: (Ex): {A}x fact2: (Ex): ({I}x & {AA}x) fact3: ยฌ{B}{do} fact4: (Ex): ({FU}x & {HU}x) fact5: (x): ({A}x & {DG}x) -> ยฌ{AI}{a} fact6: (Ex): ({CM}x & {HM}x) fact7: (x): ({IU}x & {CQ}x) -> ยฌ{C}{ab} fact8: ยฌ{DJ}{a} fact9: ยฌ{A}{cu} fact10: ยฌ{A}{a} fact11: (Ex): {B}x fact12: (Ex): ({HD}x & {HE}x) fact13: (x): ({A}x & {B}x) -> ยฌ{C}{a} fact14: (Ex): ({FM}x & {K}x) fact15: ยฌ{B}{a} fact16: (x): ({HK}x & {A}x) -> ยฌ{IU}{a} fact17: (Ex): ({A}x & {B}x) fact18: (x): ({B}x & {IO}x) -> ยฌ{EN}{a} ; $hypothesis$ = ยฌ{C}{a} ; $proof$ = | fact17 & fact13 -> hypothesis; __PROVED__ |
0.3 | ใใฎๅฐ็ใ่ฅฟ้ฒๅฏบใซๆ็ณใใใใใๅบงๆท็ขใงใชใใใใใใฏไธกๆนใ | ({AA}{aa} v ยฌ{AB}{aa}) | fact1: ใๅ
จใฆใฏ่ฅฟ้ฒๅฏบใซๆ็ณใใใใใใฏใใใฏๅบงๆท็ขใ ใจใใใใจใใชใใไธกๆนใ ใใจใใใใจใๆใ็ซใค | fact1: (x): ({AA}x v ยฌ{AB}x) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใๅ
จใฆใฏ่ฅฟ้ฒๅฏบใซๆ็ณใใใใใใฏใใใฏๅบงๆท็ขใ ใจใใใใจใใชใใไธกๆนใ ใใจใใใใจใๆใ็ซใค ; $hypothesis$ = ใใฎๅฐ็ใ่ฅฟ้ฒๅฏบใซๆ็ณใใใใใๅบงๆท็ขใงใชใใใใใใฏไธกๆนใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ({AA}x v ยฌ{AB}x) ; $hypothesis$ = ({AA}{aa} v ยฌ{AB}{aa}) ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใใใๅบใใจใใใใจใฏใชใใชใใฐใๆณ็้ขใงใใใใใใใฏใชใณ็ฌใซ็ชใฃใใใฐใใจใใใใจใฏใชใใใจใใใใจใฏ้้ใใชใใใฎใใใใใจใใใใจใๆใ็ซใใชใ | ยฌ((Ex): ยฌ{A}x -> ยฌ({AA}x v ยฌ{AB}x)) | fact1: ใใใใฎๆฐดไปใๅบใใชใใชใใฐใใใฏๆณ็้ขใ ใจใใใใจใฏใชใ fact2: ใใใใฎๆฐดไปใๅบใใจใใใใจใใชใใชใใฐใใใฏๆณ็้ขใงใใใใชใณ็ฌใซ็ชใฃใใใฐใใชใใไธกๆนใ fact3: ใใใใฎๆฐดไปใๆถฒๅใซใปใใจใใใใจใฏใชใใชใใฐใใใใ็ฉใใฎใใใๆณ็้ขใงใชใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact4: ใใใ็ฆใพใชใใชใใฐๆฐ่ฆๅฑไธใซใใฃใใชใใใใฎใฏใใ fact5: ใใใๅบใใชใใฐใๆณ็้ขใงใใใใใใใฏใชใณ็ฌใซ็ชใฃใใใฐใใชใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใใใฎใใใ fact6: ใใใ่ขซ็จ่
ใซใคใใใใจใใใใจใใชใใชใใฐใๆฎๅคใใใใใใฏๆญๅผใซ่ฝๅปถใณใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใใใฎใฏใใ fact7: ใใใใฎๆฐดไปใๅบใใชใใฐใใใใฏๆณ็้ขใงใใใใใใใฏใใใใชใณ็ฌใซ็ชใฃใใใฐใใจใใใใจใฏใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใ fact8: ใใใๅบใใชใใชใใฐใชใณ็ฌใซ็ชใฃใใใฐใใใใฎใใใ fact9: ใใใใคใณใใฃใขใใใชในใ ใจใใใใจใใชใใชใใฐๅ
ญใคๅใใงใชใใใใฎใฏใใ fact10: ใใใ่ฅฟๅฑๆทใ ใจใใใใจใฏใชใใชใใฐใใใใใใใใใใฏใใคใพใใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใใใใฎใฏใใ fact11: ใใใใฎใขใณใขใใฆใ ใฏๅบใใจใใใใจใฏใชใใชใใฐใใใใฏๆณฅใถใใใๅคงๅณถๅญใใในใใใใใใใใใฏไธกๆนใ ใใจใใใใจใ่ชคใใ fact12: ใใไฝใใฏๆฐ็ซๅท่ช็ฉบๆฉใงใชใใชใใฐใใใใใชใณ็ฌใซ็ชใฃใใใฐใใใใใใฏใใใฏ็บ็ซไธๅฝ็
้ขใ ใจใใใใจใฏใชใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact13: ใใใใฎๆฐดไปใๅบใใชใใชใใฐใใใใฏๆณ็้ขใงใใใใใใใชใณ็ฌใซ็ชใฃใใใฐใใชใใไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact14: ใใใๅบใใจใใใใจใฏใชใใชใใฐๆณ็้ขใงใใใใชใณ็ฌใซ็ชใฃใใใฐใใชใใใใใใฏไธกๆนใชใใใฎใฏใใ fact15: ใใใใฎ้ฃใๅใใๆ
ๆทฑใใจใใใใจใใชใใชใใฐใใใใๆณฅใถใใใใใใๅใฟๅใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ | fact1: ยฌ{A}{aa} -> ยฌ{AA}{aa} fact2: ยฌ{A}{aa} -> ({AA}{aa} v ยฌ{AB}{aa}) fact3: ยฌ{DL}{aa} -> ยฌ({GM}{aa} v ยฌ{AA}{aa}) fact4: (Ex): ยฌ{IN}x -> ยฌ{JF}x fact5: (Ex): {A}x -> ยฌ({AA}x v ยฌ{AB}x) fact6: (Ex): ยฌ{CA}x -> ยฌ({DJ}x v ยฌ{FP}x) fact7: {A}{aa} -> ยฌ({AA}{aa} v ยฌ{AB}{aa}) fact8: (Ex): ยฌ{A}x -> {AB}x fact9: (Ex): ยฌ{DC}x -> ยฌ{HJ}x fact10: (Ex): ยฌ{BQ}x -> ยฌ({M}x v {CG}x) fact11: ยฌ{A}{ai} -> ยฌ({CR}{ai} v {DF}{ai}) fact12: (x): ยฌ{AM}x -> ยฌ({AB}x v ยฌ{CE}x) fact13: ยฌ{A}{aa} -> ยฌ({AA}{aa} v ยฌ{AB}{aa}) fact14: (Ex): ยฌ{A}x -> ({AA}x v ยฌ{AB}x) fact15: ยฌ{U}{ga} -> ยฌ({CR}{ga} v {AL}{ga}) | [
"fact13 -> hypothesis;"
] | [
"fact13 -> hypothesis;"
] | ใใใใฎๆฐดไปใฏๆฐ็ซๅท่ช็ฉบๆฉใงใชใใชใใฐใใใใใชใณ็ฌใซ็ชใฃใใใฐใใใใใฏ็บ็ซไธๅฝ็
้ขใ ใจใใใใจใใชใใไธกๆนใ ใใจใใใใจใฏ็ๅฎใ ใจใใใใจใใชใ | ยฌ{AM}{aa} -> ยฌ({AB}{aa} v ยฌ{CE}{aa}) | [
"fact16 -> hypothesis;"
] | 1 | 1 | 1 | 14 | 0 | 14 | DISPROVED | PROVED | DISPROVED | PROVED | $facts$ = fact1: ใใใใฎๆฐดไปใๅบใใชใใชใใฐใใใฏๆณ็้ขใ ใจใใใใจใฏใชใ fact2: ใใใใฎๆฐดไปใๅบใใจใใใใจใใชใใชใใฐใใใฏๆณ็้ขใงใใใใชใณ็ฌใซ็ชใฃใใใฐใใชใใไธกๆนใ fact3: ใใใใฎๆฐดไปใๆถฒๅใซใปใใจใใใใจใฏใชใใชใใฐใใใใ็ฉใใฎใใใๆณ็้ขใงใชใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact4: ใใใ็ฆใพใชใใชใใฐๆฐ่ฆๅฑไธใซใใฃใใชใใใใฎใฏใใ fact5: ใใใๅบใใชใใฐใๆณ็้ขใงใใใใใใใฏใชใณ็ฌใซ็ชใฃใใใฐใใชใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใใใฎใใใ fact6: ใใใ่ขซ็จ่
ใซใคใใใใจใใใใจใใชใใชใใฐใๆฎๅคใใใใใใฏๆญๅผใซ่ฝๅปถใณใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใใใฎใฏใใ fact7: ใใใใฎๆฐดไปใๅบใใชใใฐใใใใฏๆณ็้ขใงใใใใใใใฏใใใใชใณ็ฌใซ็ชใฃใใใฐใใจใใใใจใฏใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใ fact8: ใใใๅบใใชใใชใใฐใชใณ็ฌใซ็ชใฃใใใฐใใใใฎใใใ fact9: ใใใใคใณใใฃใขใใใชในใ ใจใใใใจใใชใใชใใฐๅ
ญใคๅใใงใชใใใใฎใฏใใ fact10: ใใใ่ฅฟๅฑๆทใ ใจใใใใจใฏใชใใชใใฐใใใใใใใใใใฏใใคใพใใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใใใใฎใฏใใ fact11: ใใใใฎใขใณใขใใฆใ ใฏๅบใใจใใใใจใฏใชใใชใใฐใใใใฏๆณฅใถใใใๅคงๅณถๅญใใในใใใใใใใใใฏไธกๆนใ ใใจใใใใจใ่ชคใใ fact12: ใใไฝใใฏๆฐ็ซๅท่ช็ฉบๆฉใงใชใใชใใฐใใใใใชใณ็ฌใซ็ชใฃใใใฐใใใใใใฏใใใฏ็บ็ซไธๅฝ็
้ขใ ใจใใใใจใฏใชใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact13: ใใใใฎๆฐดไปใๅบใใชใใชใใฐใใใใฏๆณ็้ขใงใใใใใใใชใณ็ฌใซ็ชใฃใใใฐใใชใใไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact14: ใใใๅบใใจใใใใจใฏใชใใชใใฐๆณ็้ขใงใใใใชใณ็ฌใซ็ชใฃใใใฐใใชใใใใใใฏไธกๆนใชใใใฎใฏใใ fact15: ใใใใฎ้ฃใๅใใๆ
ๆทฑใใจใใใใจใใชใใชใใฐใใใใๆณฅใถใใใใใใๅใฟๅใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ ; $hypothesis$ = ใใใใๅบใใจใใใใจใฏใชใใชใใฐใๆณ็้ขใงใใใใใใใฏใชใณ็ฌใซ็ชใฃใใใฐใใจใใใใจใฏใชใใใจใใใใจใฏ้้ใใชใใใฎใใใใใจใใใใจใๆใ็ซใใชใ ; $proof$ = | fact13 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{A}{aa} -> ยฌ{AA}{aa} fact2: ยฌ{A}{aa} -> ({AA}{aa} v ยฌ{AB}{aa}) fact3: ยฌ{DL}{aa} -> ยฌ({GM}{aa} v ยฌ{AA}{aa}) fact4: (Ex): ยฌ{IN}x -> ยฌ{JF}x fact5: (Ex): {A}x -> ยฌ({AA}x v ยฌ{AB}x) fact6: (Ex): ยฌ{CA}x -> ยฌ({DJ}x v ยฌ{FP}x) fact7: {A}{aa} -> ยฌ({AA}{aa} v ยฌ{AB}{aa}) fact8: (Ex): ยฌ{A}x -> {AB}x fact9: (Ex): ยฌ{DC}x -> ยฌ{HJ}x fact10: (Ex): ยฌ{BQ}x -> ยฌ({M}x v {CG}x) fact11: ยฌ{A}{ai} -> ยฌ({CR}{ai} v {DF}{ai}) fact12: (x): ยฌ{AM}x -> ยฌ({AB}x v ยฌ{CE}x) fact13: ยฌ{A}{aa} -> ยฌ({AA}{aa} v ยฌ{AB}{aa}) fact14: (Ex): ยฌ{A}x -> ({AA}x v ยฌ{AB}x) fact15: ยฌ{U}{ga} -> ยฌ({CR}{ga} v {AL}{ga}) ; $hypothesis$ = ยฌ((Ex): ยฌ{A}x -> ยฌ({AA}x v ยฌ{AB}x)) ; $proof$ = | fact13 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎไบๅกใใฒใใฃใใ | {A}{a} | fact1: ใใใใใใฎใใใใใใชใใชใใฐใใใใใๆธใใใใฆใใใ fact2: ใใใใใฒใใฃใใใใจใใใใจใฏๆใ็ซใคใใใฎใใใใฐใใใฎไบๅกใ้ๅพณ้พใงใชใใใฒใใฃใใใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact3: ใใฎไบๅกใใฒใใฃใใ fact4: ใใใใฎใฉใคใณใใชใณใฟใฏๅฎใใใจใใใใจใใชใใใใๆธใใใฐใใฎ็ซฏๆญฆ่
ใฏๅฎใใใจใใใใจใใชใ fact5: ใใฎ็ทจ็ฉใใใใใ fact6: ใใใไฝใใใฒใใฃใใใฆ้ๅพณ้พใ ใใจใใใใจใฏๅฝใชใใฐใใใใฒใใฃใใใจใใใใจใใชใ fact7: ใใฎไบๅกใๆจๅฃใ fact8: ใใใใใใฎใฏใใใใใชใใใใ็กใใจใใใใจใฏใชใ fact9: ใใใใฎ็ซฏๆญฆ่
ใฏๅฎใใใจใใใใจใฏใชใใชใใฐใใใใชใพใผใใซ้ ๅบใฅใใใใใใใปใฆใใ ใจใใใใจใใชใ fact10: ใใใใใฎไบๅกใฏ้ๅพณ้พใ ใจใใใใจใฏใชใใฆใฒใใฃใใใจใใใใจใใชใใใจใใใใจใฏๅใชใใฐใใฎๅ
็ท ใใฏใฒใใฃใใ fact11: ใใใใฎ็ทจ็ฉใฏ็ณใฎ่ซใซ็ใๆใใฐใใใใ่ป้ ใ ใจใใใใจใใชใใใใใไฟก็จ่ฒธใ ใใจใใใใจใไบๅฎใจ็ฐใชใ fact12: ใใใใชใพใผใใซ้ ๅบใฅใใใใใใใปใฆใใงใชใใใใฎใฏใใใฐใใฎใฌใใงใฆใฏใฒใใฃใใ fact13: ใใใใ่ป้ ใ ใจใใใใจใใชใใไฟก็จ่ฒธใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใใใฎใใใใฐใใฎใฉใคใณใใชใณใฟใฏๅฎใใใจใใใใจใฏใชใ fact14: ใใไฝใใฏใใใใใชใใฐใใใฏ็ณใฎ่ซใซ็ใๆใ fact15: ใใฎไบๅกใๆใ fact16: ใใฎ็ฎ่ณชใใฒใใฃใใ fact17: ใใฎๆจฉ่ผฟใฏใฒใใฃใใ fact18: ใใฎๅธฏ้ฉใใฒใใฃใใ fact19: ใใใใใใฎใฏใชใพใผใใซ้ ๅบใฅใใใจใใใใจใฏใชใใชใใฐใใใใใฒใใฃใใใฆ้ๅพณ้พใ ใใจใใใใจใๅใ | fact1: (x): ยฌ{L}x -> ({G}x & {I}x) fact2: (x): {A}x -> ยฌ(ยฌ{B}{a} & ยฌ{A}{a}) fact3: {A}{a} fact4: (ยฌ{E}{d} & {G}{d}) -> ยฌ{E}{c} fact5: {K}{e} fact6: (x): ยฌ({A}x & {B}x) -> ยฌ{A}x fact7: {CT}{a} fact8: (x): (ยฌ{L}x & ยฌ{M}x) fact9: ยฌ{E}{c} -> ({C}{c} & ยฌ{D}{c}) fact10: ยฌ(ยฌ{B}{a} & ยฌ{A}{a}) -> {A}{bn} fact11: {J}{e} -> ยฌ(ยฌ{H}{e} & {F}{e}) fact12: (x): ({C}x & ยฌ{D}x) -> {A}{b} fact13: (x): ยฌ(ยฌ{H}x & {F}x) -> ยฌ{E}{d} fact14: (x): {K}x -> {J}x fact15: {DT}{a} fact16: {A}{eq} fact17: {A}{if} fact18: {A}{bh} fact19: (x): ยฌ{C}x -> ยฌ({A}x & {B}x) | [
"fact3 -> hypothesis;"
] | [
"fact3 -> hypothesis;"
] | ใใฎๅ
็ท ใใฏใฒใใฃใใ | {A}{bn} | [
"fact23 -> int1: ใใฎๅฐ็บใฏใใใใใชใใใใใใใ็กใใชใ; int1 -> int2: ใใฎๅฐ็บใใใใใใจใใใใจใใชใ; int2 -> int3: ๅ
จใฆใใใใใใจใใใใจใฏใชใ; int3 -> int4: ใใฎ็ทจ่
ใฏใใใใใจใใใใจใฏใชใ; fact22 -> int5: ใใใใฎ็ทจ่
ใใใใใใชใใชใใฐใใใใใๆธใใใใฆใใใ; int4 & int5 -> int6: ใใฎ็ทจ่
ใใใๆธใใใใฆใใใ; int6 -> int7: ๅ
จใฆใฏใใๆธใใใใใใฏใฆใใใ; int7 -> int8: ใใฎใฉใคใณใใชใณใฟใฏใใๆธใใใใฆใใใ; int8 -> int9: ใใฎใฉใคใณใใชใณใฟใฏใใๆธใใ; fact20 -> int10: ใใใใฎ็ทจ็ฉใฏใใใใใชใใฐใใใฏ็ณใฎ่ซใซ็ใๆใ; fact25 & int10 -> int11: ใใฎ็ทจ็ฉใฏ็ณใฎ่ซใซ็ใๆใ; fact27 & int11 -> int12: ใใใฎ็ทจ็ฉใ่ป้ ใงใชใใฆไฟก็จ่ฒธใ ใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ; int12 -> int13: ใใ่ป้ ใ ใจใใใใจใใชใใใใใไฟก็จ่ฒธใ ใใจใใใใจใๆใ็ซใใชใใใใฎใฏใใ; int13 & fact30 -> int14: ใใใฎใฉใคใณใใชใณใฟใๅฎใใใจใใใใจใใชใใใจใใใใจใฏๆใ็ซใค; int9 & int14 -> int15: ใใฎใฉใคใณใใชใณใฟใๅฎใใใชใใใใๆธใใ; int15 & fact24 -> int16: ใใฎ็ซฏๆญฆ่
ใๅฎใใใจใใใใจใใชใ; int16 & fact26 -> int17: ใใฎ็ซฏๆญฆ่
ใใชใพใผใใซ้ ๅบใฅใใใใใใใใใฏใปใฆใใงใชใ; int17 -> int18: ไฝใใฏใชใพใผใใซ้ ๅบใฅใใใใใใฏใปใฆใใงใชใ; fact28 & int18 -> int19: ใใฎใฌใใงใฆใฏใฒใใฃใใ; int19 -> int20: ใใฒใใฃใใใใใฎใฏใใ; fact29 & int20 -> int21: ใใใฎไบๅกใฏ้ๅพณ้พใงใชใใฆใใใใฒใใฃใใใชใใใจใใใใจใฏๅฝใ ; int21 & fact21 -> hypothesis;"
] | 16 | 1 | 0 | 18 | 0 | 18 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ใใใใใใฎใใใใใใชใใชใใฐใใใใใๆธใใใใฆใใใ fact2: ใใใใใฒใใฃใใใใจใใใใจใฏๆใ็ซใคใใใฎใใใใฐใใใฎไบๅกใ้ๅพณ้พใงใชใใใฒใใฃใใใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact3: ใใฎไบๅกใใฒใใฃใใ fact4: ใใใใฎใฉใคใณใใชใณใฟใฏๅฎใใใจใใใใจใใชใใใใๆธใใใฐใใฎ็ซฏๆญฆ่
ใฏๅฎใใใจใใใใจใใชใ fact5: ใใฎ็ทจ็ฉใใใใใ fact6: ใใใไฝใใใฒใใฃใใใฆ้ๅพณ้พใ ใใจใใใใจใฏๅฝใชใใฐใใใใฒใใฃใใใจใใใใจใใชใ fact7: ใใฎไบๅกใๆจๅฃใ fact8: ใใใใใใฎใฏใใใใใชใใใใ็กใใจใใใใจใฏใชใ fact9: ใใใใฎ็ซฏๆญฆ่
ใฏๅฎใใใจใใใใจใฏใชใใชใใฐใใใใชใพใผใใซ้ ๅบใฅใใใใใใใปใฆใใ ใจใใใใจใใชใ fact10: ใใใใใฎไบๅกใฏ้ๅพณ้พใ ใจใใใใจใฏใชใใฆใฒใใฃใใใจใใใใจใใชใใใจใใใใจใฏๅใชใใฐใใฎๅ
็ท ใใฏใฒใใฃใใ fact11: ใใใใฎ็ทจ็ฉใฏ็ณใฎ่ซใซ็ใๆใใฐใใใใ่ป้ ใ ใจใใใใจใใชใใใใใไฟก็จ่ฒธใ ใใจใใใใจใไบๅฎใจ็ฐใชใ fact12: ใใใใชใพใผใใซ้ ๅบใฅใใใใใใใปใฆใใงใชใใใใฎใฏใใใฐใใฎใฌใใงใฆใฏใฒใใฃใใ fact13: ใใใใ่ป้ ใ ใจใใใใจใใชใใไฟก็จ่ฒธใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใใใฎใใใใฐใใฎใฉใคใณใใชใณใฟใฏๅฎใใใจใใใใจใฏใชใ fact14: ใใไฝใใฏใใใใใชใใฐใใใฏ็ณใฎ่ซใซ็ใๆใ fact15: ใใฎไบๅกใๆใ fact16: ใใฎ็ฎ่ณชใใฒใใฃใใ fact17: ใใฎๆจฉ่ผฟใฏใฒใใฃใใ fact18: ใใฎๅธฏ้ฉใใฒใใฃใใ fact19: ใใใใใใฎใฏใชใพใผใใซ้ ๅบใฅใใใจใใใใจใฏใชใใชใใฐใใใใใฒใใฃใใใฆ้ๅพณ้พใ ใใจใใใใจใๅใ ; $hypothesis$ = ใใฎไบๅกใใฒใใฃใใ ; $proof$ = | fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ยฌ{L}x -> ({G}x & {I}x) fact2: (x): {A}x -> ยฌ(ยฌ{B}{a} & ยฌ{A}{a}) fact3: {A}{a} fact4: (ยฌ{E}{d} & {G}{d}) -> ยฌ{E}{c} fact5: {K}{e} fact6: (x): ยฌ({A}x & {B}x) -> ยฌ{A}x fact7: {CT}{a} fact8: (x): (ยฌ{L}x & ยฌ{M}x) fact9: ยฌ{E}{c} -> ({C}{c} & ยฌ{D}{c}) fact10: ยฌ(ยฌ{B}{a} & ยฌ{A}{a}) -> {A}{bn} fact11: {J}{e} -> ยฌ(ยฌ{H}{e} & {F}{e}) fact12: (x): ({C}x & ยฌ{D}x) -> {A}{b} fact13: (x): ยฌ(ยฌ{H}x & {F}x) -> ยฌ{E}{d} fact14: (x): {K}x -> {J}x fact15: {DT}{a} fact16: {A}{eq} fact17: {A}{if} fact18: {A}{bh} fact19: (x): ยฌ{C}x -> ยฌ({A}x & {B}x) ; $hypothesis$ = {A}{a} ; $proof$ = | fact3 -> hypothesis; __PROVED__ |
0.3 | ใ่ชใตใใจใจใๅฟตไธกๆนใฏ่ตทใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ | ยฌ({AA} & {AB}) | fact1: ใใชใใใใจใใใใจใ่ตทใใใชใ fact2: ๆฅไธฆ้ทใไธ็ซใคใใจใฏ่ตทใใใจใใใใจใฏๅฐๆธใใใใใใฐใใใใจใซใใ็บ็ใใ fact3: ใญใก็ดฐใใใจใใใใจใ็บ็ใใชใใจใใใใจใ่ชใตใใจใ่ตทใใใชใใจใใใใจใๅ้ฟใใ fact4: ใใญใก็ดฐใใใจใใใใจใ่ตทใใใชใใใจใใใใจใใ่ชใตใใจใจใๅฟตไธกๆนใฏ่ตทใใใใจใใใใจใ่ช็บใใ fact5: ่ชใตใใจใ็ใใ fact6: ใๅบฆใ้ฃใใจใใใใจใฏ่ตทใใใใญใก็ดฐใใใจใใใใจใฏ็บ็ใใใใจใใใใจใๅใใจใใใใจใฏ็บ็ใใชใใจใใใใจใๅๅ ใ | fact1: ยฌ{AS} fact2: {B} -> {HK} fact3: ยฌ{A} -> {AA} fact4: ยฌ{A} -> ({AA} & {AB}) fact5: {AA} fact6: ยฌ{D} -> ({DM} & {A}) | [] | [] | ใใ่ชใตใใจใฏ็ใใใใๅฟตใฏ็บ็ใใใใจใใใใจใไบๅฎใ ใใจใใใใจใ่ชคใใ | ยฌ({AA} & {AB}) | [
" -> hypothesis;"
] | 0 | 1 | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใชใใใใจใใใใจใ่ตทใใใชใ fact2: ๆฅไธฆ้ทใไธ็ซใคใใจใฏ่ตทใใใจใใใใจใฏๅฐๆธใใใใใใฐใใใใจใซใใ็บ็ใใ fact3: ใญใก็ดฐใใใจใใใใจใ็บ็ใใชใใจใใใใจใ่ชใตใใจใ่ตทใใใชใใจใใใใจใๅ้ฟใใ fact4: ใใญใก็ดฐใใใจใใใใจใ่ตทใใใชใใใจใใใใจใใ่ชใตใใจใจใๅฟตไธกๆนใฏ่ตทใใใใจใใใใจใ่ช็บใใ fact5: ่ชใตใใจใ็ใใ fact6: ใๅบฆใ้ฃใใจใใใใจใฏ่ตทใใใใญใก็ดฐใใใจใใใใจใฏ็บ็ใใใใจใใใใจใๅใใจใใใใจใฏ็บ็ใใชใใจใใใใจใๅๅ ใ ; $hypothesis$ = ใ่ชใตใใจใจใๅฟตไธกๆนใฏ่ตทใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{AS} fact2: {B} -> {HK} fact3: ยฌ{A} -> {AA} fact4: ยฌ{A} -> ({AA} & {AB}) fact5: {AA} fact6: ยฌ{D} -> ({DM} & {A}) ; $hypothesis$ = ยฌ({AA} & {AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎ้ก็ซใกใๅ็ซใใชใ | ยฌ{A}{aa} | fact1: ใใใใใใฎใฏๆใซใฎใใใชใใชใใฐใใใฏๅ็ซใค fact2: ใๅ
จใฆใฏ็ฆ่ญใใใจใใใใจใฏไบๅฎใ fact3: ใใใใใใใฎใๅ็ซใคใๆใซใฎใใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใชใใฐใใใฏๅ็ซใใชใ fact4: ๅ
จใฆใฎใใฎใฏ็ใฃใใใ fact5: ใใไฝใใฏใใฎใใใชใใฐใใใใๅ็ซใคใๆใซใฎใใใชใใใจใใใใจใไบๅฎใจ็ฐใชใ fact6: ใใฎ้่ใฏๅ็ซใค fact7: ใใใใใใฎใฏๅ็ซใค fact8: ใใฎใ ใผใใผใฏๅ็ซใค | fact1: (x): ยฌ{B}x -> {A}x fact2: (x): {CM}x fact3: (x): ยฌ({A}x & ยฌ{B}x) -> ยฌ{A}x fact4: (x): {CL}x fact5: (x): {C}x -> ยฌ({A}x & ยฌ{B}x) fact6: {A}{eq} fact7: (x): {A}x fact8: {A}{ao} | [
"fact7 -> hypothesis;"
] | [
"fact7 -> hypothesis;"
] | ใใฎ้ก็ซใกใๅ็ซใใชใ | ยฌ{A}{aa} | [
"fact9 -> int1: ใใใใใฎ้ก็ซใกใฏๅ็ซใคใใใใใใใๆใซใฎใใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใชใใฐใใใใฏๅ็ซใคใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใค; fact10 -> int2: ใใใใฎ้ก็ซใกใฏใใฎใใใชใใฐใใใใใฏๅ็ซใคใใใใฏๆใซใฎใใใชใใใจใใใใจใฏๆใ็ซใคใใจใใใใจใๅฝใ ;"
] | 5 | 1 | 1 | 7 | 0 | 7 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใใใฎใฏๆใซใฎใใใชใใชใใฐใใใฏๅ็ซใค fact2: ใๅ
จใฆใฏ็ฆ่ญใใใจใใใใจใฏไบๅฎใ fact3: ใใใใใใใฎใๅ็ซใคใๆใซใฎใใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใชใใฐใใใฏๅ็ซใใชใ fact4: ๅ
จใฆใฎใใฎใฏ็ใฃใใใ fact5: ใใไฝใใฏใใฎใใใชใใฐใใใใๅ็ซใคใๆใซใฎใใใชใใใจใใใใจใไบๅฎใจ็ฐใชใ fact6: ใใฎ้่ใฏๅ็ซใค fact7: ใใใใใใฎใฏๅ็ซใค fact8: ใใฎใ ใผใใผใฏๅ็ซใค ; $hypothesis$ = ใใฎ้ก็ซใกใๅ็ซใใชใ ; $proof$ = | fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{B}x -> {A}x fact2: (x): {CM}x fact3: (x): ยฌ({A}x & ยฌ{B}x) -> ยฌ{A}x fact4: (x): {CL}x fact5: (x): {C}x -> ยฌ({A}x & ยฌ{B}x) fact6: {A}{eq} fact7: (x): {A}x fact8: {A}{ao} ; $hypothesis$ = ยฌ{A}{aa} ; $proof$ = | fact7 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใ็็ ๆฒขใ ใใจใใใใจใๆใ็ซใฆใฐใใใคใใพใใใฆๆจๅฑฑใๅญใ ใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใใใฎใฏใใ | (Ex): {A}x -> ยฌ({AA}x & ยฌ{AB}x) | fact1: ใใใใฎใฐใ่ใๆจๅฑฑใๅญใชใใฐใใใฏใชใคใใใใฆใใใฏ่ฆๅฎใใใจใใใใจใใชใ fact2: ใใใใฎใฐใ่ใฏ็็ ๆฒขใชใใฐใใใใใใคใใพใใใใใใฏๆจๅฑฑใๅญใ ใจใใใใจใใชใใใจใใใใจใ็ๅฎใงใชใ fact3: ใใใใฎใฐใ่ใ็็ ๆฒขใชใใฐใใใในใใณใตใผใงใใใๅคงๆงปๅณถใ ใจใใใใจใใชใ fact4: ใใไฝใใฏใพใ็ถใซๅญใใฐใใใใฏใใใใใใใใใฏใใใใใใจใใใใจใฏใชใใใจใใใใจใๅฝใ fact5: ใใใใฎใฐใ่ใ็็ ๆฒขใชใใฐใใใใฏใใคใใพใใใใฎใงใใฃใฆๆจๅฑฑใๅญใชใใฎใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact6: ใใใใฎใฐใ่ใใใคใใพใใใชใใฐใใใใ้ฃๅใใใใใๅกใใคใถใใจใใใใจใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact7: ใใใใไธ็ซใใพใใใใใจใใใใจใฏๅฝใงใชใใชใใฐๅกใใคใถใใใใกใ ใใใจใใใใจใใชใใใใฎใฏใใ fact8: ใใใไบฌๅฆใชใใฐใใชใคใใใใใฎใงใใฃใฆไบฌใถๅณถใๅใใใจใใใใจใฏใชใใใฎใใจใใใใจใๆใ็ซใใชใใใใฎใฏใใ fact9: ใใใใ็ไนๆตฆใใใใใใใจใใใใจใๆใ็ซใฆใฐใๅบๅฐพๅทใซใใใ่ตทใใใใ้ ใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใใใฎใใใ fact10: ใใใใฎใใใใใชใใฐใ่ฑใใใๅฎฟ่ใงใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใใใฎใใใ fact11: ใใใใฎใฐใ่ใๆคๆขจๅทใชใใฐใใใใกใใใใฆใใใฏ็็ ๆฒขใงใชใ fact12: ใใใใจใใจใใชใใฐใ่ฅฟไฝๅทใงใใฃใฆใจใใงใใชใใชใใใฎใใจใใใใจใฏๆใ็ซใใชใใใใฎใฏใใ fact13: ใใใ็็ ๆฒขใชใใฐใใใคใใพใใๆจๅฑฑใๅญใใจใใใใจใฏ่ชคใใชใใใฎใใใ fact14: ใใใใใใใใชใใฐ็ด ่ณชใงใฆใผใถใงใชใใใใฎใฏใใ fact15: ใใใใใฎใใชใตใคใๆจๅฑฑใๅญใ ใใจใใใใจใฏๆใ็ซใฆใฐใใใใฏ็ฌๅธฐๆฐ็ฐใ ใใฆใผใถใงใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ | fact1: {AB}{aa} -> ({GP}{aa} & ยฌ{HB}{aa}) fact2: {A}{aa} -> ยฌ({AA}{aa} & ยฌ{AB}{aa}) fact3: {A}{aa} -> ({FO}{aa} & ยฌ{AJ}{aa}) fact4: (x): {HR}x -> ยฌ({II}x & ยฌ{CB}x) fact5: {A}{aa} -> ยฌ({AA}{aa} & {AB}{aa}) fact6: {AA}{aa} -> ยฌ({GN}{aa} & ยฌ{Q}{aa}) fact7: (Ex): {HK}x -> ({Q}x & ยฌ{GC}x) fact8: (Ex): {AI}x -> ยฌ({GP}x & ยฌ{BI}x) fact9: (Ex): {R}x -> ยฌ({FF}x & ยฌ{JH}x) fact10: (Ex): {S}x -> ยฌ({JB}x & ยฌ{EP}x) fact11: {EL}{aa} -> ({BB}{aa} & ยฌ{A}{aa}) fact12: (Ex): {JC}x -> ยฌ({M}x & ยฌ{DJ}x) fact13: (Ex): {A}x -> ยฌ({AA}x & {AB}x) fact14: (Ex): {IS}x -> ({FB}x & ยฌ{F}x) fact15: {AB}{fu} -> ยฌ({GL}{fu} & ยฌ{F}{fu}) | [
"fact2 -> hypothesis;"
] | [
"fact2 -> hypothesis;"
] | ใใใใฎใฐใ่ใฏใพใ็ถใซๅญใใฐใใใใฏใใใใใใฆใใใใใใใใชใใใจใใใใจใฏๅใ | {HR}{aa} -> ยฌ({II}{aa} & ยฌ{CB}{aa}) | [
"fact16 -> hypothesis;"
] | 1 | 1 | 1 | 14 | 0 | 14 | PROVED | PROVED | PROVED | PROVED | $facts$ = fact1: ใใใใฎใฐใ่ใๆจๅฑฑใๅญใชใใฐใใใฏใชใคใใใใฆใใใฏ่ฆๅฎใใใจใใใใจใใชใ fact2: ใใใใฎใฐใ่ใฏ็็ ๆฒขใชใใฐใใใใใใคใใพใใใใใใฏๆจๅฑฑใๅญใ ใจใใใใจใใชใใใจใใใใจใ็ๅฎใงใชใ fact3: ใใใใฎใฐใ่ใ็็ ๆฒขใชใใฐใใใในใใณใตใผใงใใใๅคงๆงปๅณถใ ใจใใใใจใใชใ fact4: ใใไฝใใฏใพใ็ถใซๅญใใฐใใใใฏใใใใใใใใใฏใใใใใใจใใใใจใฏใชใใใจใใใใจใๅฝใ fact5: ใใใใฎใฐใ่ใ็็ ๆฒขใชใใฐใใใใฏใใคใใพใใใใฎใงใใฃใฆๆจๅฑฑใๅญใชใใฎใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact6: ใใใใฎใฐใ่ใใใคใใพใใใชใใฐใใใใ้ฃๅใใใใใๅกใใคใถใใจใใใใจใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact7: ใใใใไธ็ซใใพใใใใใจใใใใจใฏๅฝใงใชใใชใใฐๅกใใคใถใใใใกใ ใใใจใใใใจใใชใใใใฎใฏใใ fact8: ใใใไบฌๅฆใชใใฐใใชใคใใใใใฎใงใใฃใฆไบฌใถๅณถใๅใใใจใใใใจใฏใชใใใฎใใจใใใใจใๆใ็ซใใชใใใใฎใฏใใ fact9: ใใใใ็ไนๆตฆใใใใใใใจใใใใจใๆใ็ซใฆใฐใๅบๅฐพๅทใซใใใ่ตทใใใใ้ ใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใใใฎใใใ fact10: ใใใใฎใใใใใชใใฐใ่ฑใใใๅฎฟ่ใงใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใใใฎใใใ fact11: ใใใใฎใฐใ่ใๆคๆขจๅทใชใใฐใใใใกใใใใฆใใใฏ็็ ๆฒขใงใชใ fact12: ใใใใจใใจใใชใใฐใ่ฅฟไฝๅทใงใใฃใฆใจใใงใใชใใชใใใฎใใจใใใใจใฏๆใ็ซใใชใใใใฎใฏใใ fact13: ใใใ็็ ๆฒขใชใใฐใใใคใใพใใๆจๅฑฑใๅญใใจใใใใจใฏ่ชคใใชใใใฎใใใ fact14: ใใใใใใใใชใใฐ็ด ่ณชใงใฆใผใถใงใชใใใใฎใฏใใ fact15: ใใใใใฎใใชใตใคใๆจๅฑฑใๅญใ ใใจใใใใจใฏๆใ็ซใฆใฐใใใใฏ็ฌๅธฐๆฐ็ฐใ ใใฆใผใถใงใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ ; $hypothesis$ = ใใใใ็็ ๆฒขใ ใใจใใใใจใๆใ็ซใฆใฐใใใคใใพใใใฆๆจๅฑฑใๅญใ ใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใใใฎใฏใใ ; $proof$ = | fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {AB}{aa} -> ({GP}{aa} & ยฌ{HB}{aa}) fact2: {A}{aa} -> ยฌ({AA}{aa} & ยฌ{AB}{aa}) fact3: {A}{aa} -> ({FO}{aa} & ยฌ{AJ}{aa}) fact4: (x): {HR}x -> ยฌ({II}x & ยฌ{CB}x) fact5: {A}{aa} -> ยฌ({AA}{aa} & {AB}{aa}) fact6: {AA}{aa} -> ยฌ({GN}{aa} & ยฌ{Q}{aa}) fact7: (Ex): {HK}x -> ({Q}x & ยฌ{GC}x) fact8: (Ex): {AI}x -> ยฌ({GP}x & ยฌ{BI}x) fact9: (Ex): {R}x -> ยฌ({FF}x & ยฌ{JH}x) fact10: (Ex): {S}x -> ยฌ({JB}x & ยฌ{EP}x) fact11: {EL}{aa} -> ({BB}{aa} & ยฌ{A}{aa}) fact12: (Ex): {JC}x -> ยฌ({M}x & ยฌ{DJ}x) fact13: (Ex): {A}x -> ยฌ({AA}x & {AB}x) fact14: (Ex): {IS}x -> ({FB}x & ยฌ{F}x) fact15: {AB}{fu} -> ยฌ({GL}{fu} & ยฌ{F}{fu}) ; $hypothesis$ = (Ex): {A}x -> ยฌ({AA}x & ยฌ{AB}x) ; $proof$ = | fact2 -> hypothesis; __PROVED__ |
0.3 | ใ็น่กฃใซใใ ใใใใใจใฏ็ใใชใใใใใฌใชใณใฏ็ใใใใจใใใใจใๆญฃใใใจใใใใจใฏใชใ | ยฌ(ยฌ{AA} & {AB}) | fact1: ่ใใใใจใใใใจใฏ่ตทใใใจใใใใจใฏใฏใใใชใใจใใใใจใฏ็ใใชใใจใใใใจใๆใ fact2: ๅงซ่ทฏ็ฌๅๅคงๅญฆใใใฟใชใใใใใจใ็ใใ fact3: ใใ็ซใกใใใใใจใฏ่ตทใใใชใใชใใฐใ้ขจ่ใฏ่ตทใใใใใใๆกงๆจๆฒขใซใใกใพใใใใจใฏ่ตทใใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact4: ใใ้ขจ่ใ่ตทใใชใใชใใฐ็น่กฃใซใใ ใใใใใจใงใฏใชใใใใฌใชใณใฏ็บ็ใใ fact5: ใๆฝ่กใฏ่ตทใใใชใใใใใ่ฟๆปใ่ตทใใใใจใใใใจใฏๆขจใๆจๅณ ใซ็ๅใใใใจใ่ตทใใใจใใใใจใซๅธฐ็ตใใ fact6: ใ่ฟๆปใฏ่ตทใใใใจใใใใจใๅงซ่ทฏ็ฌๅๅคงๅญฆใใใฟใชใใใใใจใๅๅ ใ fact7: ๆฉใพใใใจใใใใจใฏ่ตทใใชใใฆๆฝ่กใ่ตทใใใชใ fact8: ใใๅผฑใใใจใฏ็ใใชใใชใใฐใๆฒใคใใจใฏ็บ็ใใใ็ซใกใใใใใจใฏ็ใใชใใใจใใใใจใไบๅฎใ fact9: ใใๅฎถใฎๆตฆใไธ่่ฑใใใจใ็ใใชใใฆใชใใฉใผใ ใฏ่ตทใใชใใชใใฐ่ใใใใจใใใใจใ่ตทใใ fact10: ใใใ้ขจ่ใ่ตทใใใใใใๆกงๆจๆฒขใซใใกใพใใใใจใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐ้ขจ่ใ็บ็ใใชใ fact11: ใ็น่กฃใซใใ ใใใใใจใฏ็ใใชใใใใใฌใชใณใ่ตทใใใใจใใใใจใ้้ใใ fact12: ใใๆถๆฃใฏ่ตทใใใฐๅฎถใฎๆตฆใไธ่่ฑใใใจใฏ่ตทใใใชใใใชใใฉใผใ ใ็ใใชใ fact13: ใๆขจใๆจๅณ ใซ็ๅใใใใจใฏ็บ็ใใใใฏใใใชใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใๅผฑใใใจใฏ่ตทใใใชใใจใใใใจใซ็นใใ | fact1: {J} -> ยฌ{G} fact2: {K} fact3: ยฌ{B} -> ยฌ({A} & ยฌ{C}) fact4: ยฌ{A} -> (ยฌ{AA} & {AB}) fact5: (ยฌ{I} & {H}) -> {F} fact6: {K} -> {H} fact7: (ยฌ{R} & ยฌ{I}) fact8: ยฌ{E} -> ({D} & ยฌ{B}) fact9: (ยฌ{L} & ยฌ{M}) -> {J} fact10: ยฌ({A} & ยฌ{C}) -> ยฌ{A} fact11: ยฌ(ยฌ{AA} & {AB}) fact12: {N} -> (ยฌ{L} & ยฌ{M}) fact13: ({F} & ยฌ{G}) -> ยฌ{E} | [
"fact11 -> hypothesis;"
] | [
"fact11 -> hypothesis;"
] | ็น่กฃใซใใ ใใใใใจใงใฏใชใใใใฌใชใณใฏ่ตทใใ | (ยฌ{AA} & {AB}) | [
"fact22 -> int1: ๆฝ่กใ็บ็ใใชใ; fact18 & fact16 -> int2: ่ฟๆปใ่ตทใใ; int1 & int2 -> int3: ๆฝ่กใฏ็ใใชใใ่ฟๆปใฏ็ใใ; fact15 & int3 -> int4: ๆขจใๆจๅณ ใซ็ๅใใใใจใฏ่ตทใใ;"
] | 13 | 1 | 0 | 12 | 0 | 12 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ่ใใใใจใใใใจใฏ่ตทใใใจใใใใจใฏใฏใใใชใใจใใใใจใฏ็ใใชใใจใใใใจใๆใ fact2: ๅงซ่ทฏ็ฌๅๅคงๅญฆใใใฟใชใใใใใจใ็ใใ fact3: ใใ็ซใกใใใใใจใฏ่ตทใใใชใใชใใฐใ้ขจ่ใฏ่ตทใใใใใใๆกงๆจๆฒขใซใใกใพใใใใจใฏ่ตทใใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใ fact4: ใใ้ขจ่ใ่ตทใใชใใชใใฐ็น่กฃใซใใ ใใใใใจใงใฏใชใใใใฌใชใณใฏ็บ็ใใ fact5: ใๆฝ่กใฏ่ตทใใใชใใใใใ่ฟๆปใ่ตทใใใใจใใใใจใฏๆขจใๆจๅณ ใซ็ๅใใใใจใ่ตทใใใจใใใใจใซๅธฐ็ตใใ fact6: ใ่ฟๆปใฏ่ตทใใใใจใใใใจใๅงซ่ทฏ็ฌๅๅคงๅญฆใใใฟใชใใใใใจใๅๅ ใ fact7: ๆฉใพใใใจใใใใจใฏ่ตทใใชใใฆๆฝ่กใ่ตทใใใชใ fact8: ใใๅผฑใใใจใฏ็ใใชใใชใใฐใๆฒใคใใจใฏ็บ็ใใใ็ซใกใใใใใจใฏ็ใใชใใใจใใใใจใไบๅฎใ fact9: ใใๅฎถใฎๆตฆใไธ่่ฑใใใจใ็ใใชใใฆใชใใฉใผใ ใฏ่ตทใใชใใชใใฐ่ใใใใจใใใใจใ่ตทใใ fact10: ใใใ้ขจ่ใ่ตทใใใใใใๆกงๆจๆฒขใซใใกใพใใใใจใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐ้ขจ่ใ็บ็ใใชใ fact11: ใ็น่กฃใซใใ ใใใใใจใฏ็ใใชใใใใใฌใชใณใ่ตทใใใใจใใใใจใ้้ใใ fact12: ใใๆถๆฃใฏ่ตทใใใฐๅฎถใฎๆตฆใไธ่่ฑใใใจใฏ่ตทใใใชใใใชใใฉใผใ ใ็ใใชใ fact13: ใๆขจใๆจๅณ ใซ็ๅใใใใจใฏ็บ็ใใใใฏใใใชใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใๅผฑใใใจใฏ่ตทใใใชใใจใใใใจใซ็นใใ ; $hypothesis$ = ใ็น่กฃใซใใ ใใใใใจใฏ็ใใชใใใใใฌใชใณใฏ็ใใใใจใใใใจใๆญฃใใใจใใใใจใฏใชใ ; $proof$ = | fact11 -> hypothesis; __PROVED__ | $facts$ = fact1: {J} -> ยฌ{G} fact2: {K} fact3: ยฌ{B} -> ยฌ({A} & ยฌ{C}) fact4: ยฌ{A} -> (ยฌ{AA} & {AB}) fact5: (ยฌ{I} & {H}) -> {F} fact6: {K} -> {H} fact7: (ยฌ{R} & ยฌ{I}) fact8: ยฌ{E} -> ({D} & ยฌ{B}) fact9: (ยฌ{L} & ยฌ{M}) -> {J} fact10: ยฌ({A} & ยฌ{C}) -> ยฌ{A} fact11: ยฌ(ยฌ{AA} & {AB}) fact12: {N} -> (ยฌ{L} & ยฌ{M}) fact13: ({F} & ยฌ{G}) -> ยฌ{E} ; $hypothesis$ = ยฌ(ยฌ{AA} & {AB}) ; $proof$ = | fact11 -> hypothesis; __PROVED__ |
0.3 | ใใใใฎ่ณๆใฏใใผใในใฉใคใณใชใใฐใใใใใใใใ | {A}{aa} -> {C}{aa} | fact1: ใใใใๅใ็ซใฆใงใชใใ็ธใใใใใใฏไธกๆนใ ใใจใใใใจใฏ่ชคใใ | fact1: ใใใใๅใ็ซใฆใงใชใใ็ธใใใใใใฏไธกๆนใ ใใจใใใใจใฏ่ชคใใ | [] | [] | null | null | [] | null | 1 | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใใใๅใ็ซใฆใงใชใใ็ธใใใใใใฏไธกๆนใ ใใจใใใใจใฏ่ชคใใ ; $hypothesis$ = ใใใใฎ่ณๆใฏใใผใในใฉใคใณใชใใฐใใใใใใใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ใใใใๅใ็ซใฆใงใชใใ็ธใใใใใใฏไธกๆนใ ใใจใใใใจใฏ่ชคใใ ; $hypothesis$ = {A}{aa} -> {C}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใใฎๆฐ็ใใๅ้ฆใซๆใใชใใไธไฟ็บๅฅ่ฏๅญใ ใใจใใใใจใๆใ็ซใคใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ | ยฌ(ยฌ{AA}{b} & {AB}{b}) | fact1: ใใฎไปใใใฎใฏใฌในใญใฅใผใซใใใใใจใใใใจใฏใชใ fact2: ใใใใฎไปใใใฎใใฌในใญใฅใผใซใใใใใจใใใใจใฏใชใใชใใฐใใใฎๆฐ็ใใฏๅ้ฆใซๆใใใจใใใใจใใชใใใใใใใใไธไฟ็บๅฅ่ฏๅญใ ใใจใใใใจใ้้ใใ fact3: ใใฎใฌในใญใฅใผใฏไปใใใฎใใใใใใจใใใใจใฏใชใ | fact1: ยฌ{A}{a} fact2: ยฌ{A}{a} -> ยฌ(ยฌ{AA}{b} & {AB}{b}) fact3: ยฌ{AC}{aa} | [
"fact2 & fact1 -> hypothesis;"
] | [
"fact2 & fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 0 | 1 | PROVED | null | PROVED | null | $facts$ = fact1: ใใฎไปใใใฎใฏใฌในใญใฅใผใซใใใใใจใใใใจใฏใชใ fact2: ใใใใฎไปใใใฎใใฌในใญใฅใผใซใใใใใจใใใใจใฏใชใใชใใฐใใใฎๆฐ็ใใฏๅ้ฆใซๆใใใจใใใใจใใชใใใใใใใใไธไฟ็บๅฅ่ฏๅญใ ใใจใใใใจใ้้ใใ fact3: ใใฎใฌในใญใฅใผใฏไปใใใฎใใใใใใจใใใใจใฏใชใ ; $hypothesis$ = ใใใใฎๆฐ็ใใๅ้ฆใซๆใใชใใไธไฟ็บๅฅ่ฏๅญใ ใใจใใใใจใๆใ็ซใคใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ ; $proof$ = | fact2 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{A}{a} fact2: ยฌ{A}{a} -> ยฌ(ยฌ{AA}{b} & {AB}{b}) fact3: ยฌ{AC}{aa} ; $hypothesis$ = ยฌ(ยฌ{AA}{b} & {AB}{b}) ; $proof$ = | fact2 & fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎ็ฌ่บซใฏ็ฎใใจใใจใใใใจใฏใชใใใใใใฏใใใฏ็ใๆทฑใใใใใใฏไธกๆนใ | (ยฌ{B}{a} v {C}{a}) | fact1: ไฝใใใใใใใใใจใใใใจใฏใชใ fact2: ใใใใฎ้้ฆใฏ่ชๅฐฝใชใใฐใใใใฏใฟใใฟใใใใชใใใใใฏ่ณใใใใใจใใใใจใไบๅฎใจ็ฐใชใ fact3: ใใฎใฏใใใณใฏใใใใใใ fact4: ใใใใฎ้้ฆใใใใใใใใจใใใใจใฏใชใใชใใฐใใฎ็ฌ่บซใฏ็ฎใใจใใจใใใใจใฏใชใใ็ใๆทฑใใใใใใฏไธกๆนใ fact5: ใใใใคใฑใใใณใ ใจใใใใจใฏใชใใใใฎใฏใใใฐใใใฎ็ฌ่บซใไบๅๅทปใงใชใใใใใ็ฎใใจใใไธกๆนใ ใใจใใใใจใฏ้้ใใ fact6: ใใฎ็ฌ่บซใฏ้ซๆดฅ้ใ fact7: ใใฎ็ฌ่บซใใใใใใใ fact8: ใใใใใใใใใใชใใ็ฎใใจใใชใใใใฎใฏใใใฐใใฎ็ฌ่บซใฏ่ณใ
ใใใชใ fact9: ไฝใใ่ชๅฐฝใ ใจใใใใจใฏใชใ fact10: ใใใใใฎ็พฉๅ
ใฏๆใใใใใใใใชใใใใผใฏใใงใณใธใซ่ฌใใจใใใใจใใชใใใจใใใใจใ็ๅฎใงใชใใชใใฐใใฎไปฃ่จบใใใผใฏใใงใณใธใซ่ฌใใจใใใใจใใชใ fact11: ใใใใใใฎใ็ใๆทฑใใชใใฐใใใฏใใใใใใใชใใใฎใงใใฃใฆ็ฎใใจใใชใใใฎ fact12: ใใใใฎไปฃ่จบใใใผใฏใใงใณใธใซ่ฌใใจใใใใจใใชใใชใใฐใใใฏ็ฝใฃใฝใใใใใใฟใใฟใใใ fact13: ใใไฝใใ่ณใใใใชใใชใใฐใใใใ็ใๆทฑใใใใซใใณใๅๅฒใใใจใใใใจใๆญฃใใ fact14: ใใใใใฎ้้ฆใใฟใใฟใใใใชใใฆ่ณใใใใใจใใใใจใๆใ็ซใใชใใชใใฐใใใ่ณใใใใจใใใใจใใชใ fact15: ใใใใใใฎใฏใใใใใใใจใใใใจใฏใชใใชใใฐใใใฎ็ฌ่บซใ็ฎใใจใใชใใใใใใฏ็ใๆทฑใใใจใใใใจใๅใ fact16: ใใใใใใใใใใจใใใใจใใชใใใใฎใใใใฐใใฎ็ฌ่บซใ็ใๆทฑใใชใ fact17: ใใใใใใฎใฏใฟใใฟใใใใชใใฐใใใฏ่ชๅฐฝใ fact18: ใใใใใใฎใฏใใซใใณใๅๅฒใใใใใใใใ่ณใใใใชใใชใใฐใใใฏใใใใใใใจใใใใจใฏใชใ fact19: ใ็ใๆทฑใใชใใใใฎใฏใใ fact20: ใใฎ็ฌ่บซใ็ใๆทฑใใจใใใใจใใชใ | fact1: (Ex): ยฌ{A}x fact2: {F}{b} -> ยฌ(ยฌ{G}{b} & {E}{b}) fact3: {A}{br} fact4: ยฌ{A}{b} -> (ยฌ{B}{a} v {C}{a}) fact5: (x): ยฌ{BT}x -> ยฌ(ยฌ{CF}{a} v {B}{a}) fact6: {JE}{a} fact7: {A}{a} fact8: (x): (ยฌ{A}x & ยฌ{B}x) -> ยฌ{AT}{a} fact9: (Ex): ยฌ{F}x fact10: ยฌ(ยฌ{K}{d} & ยฌ{I}{d}) -> ยฌ{I}{c} fact11: (x): {C}x -> (ยฌ{A}x & ยฌ{B}x) fact12: ยฌ{I}{c} -> ({H}{c} & {G}{c}) fact13: (x): ยฌ{E}x -> ({C}x & {D}x) fact14: ยฌ(ยฌ{G}{b} & {E}{b}) -> ยฌ{E}{b} fact15: (x): ยฌ{A}x -> ยฌ(ยฌ{B}{a} v {C}{a}) fact16: (x): ยฌ{A}x -> ยฌ{C}{a} fact17: (x): {G}x -> {F}x fact18: (x): ({D}x & ยฌ{E}x) -> ยฌ{A}x fact19: (Ex): ยฌ{C}x fact20: ยฌ{C}{a} | [
"fact1 & fact15 -> hypothesis;"
] | [
"fact1 & fact15 -> hypothesis;"
] | ่ณใ
ใใใชใใใฎใฏใใ | (Ex): ยฌ{AT}x | [
"fact24 -> int1: ใใใใฎ้้ฆใ็ใๆทฑใใชใใฐใใใใใใใใใใจใใใใจใฏใชใใฆใใใฏ็ฎใใจใใชใ; fact21 -> int2: ใใใใฎ้้ฆใ่ณใใใใชใใชใใฐใใใ็ใๆทฑใใใใใฏใใซใใณใๅๅฒใ;"
] | 8 | 1 | 1 | 18 | 0 | 18 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ไฝใใใใใใใใใจใใใใจใฏใชใ fact2: ใใใใฎ้้ฆใฏ่ชๅฐฝใชใใฐใใใใฏใฟใใฟใใใใชใใใใใฏ่ณใใใใใจใใใใจใไบๅฎใจ็ฐใชใ fact3: ใใฎใฏใใใณใฏใใใใใใ fact4: ใใใใฎ้้ฆใใใใใใใใจใใใใจใฏใชใใชใใฐใใฎ็ฌ่บซใฏ็ฎใใจใใจใใใใจใฏใชใใ็ใๆทฑใใใใใใฏไธกๆนใ fact5: ใใใใคใฑใใใณใ ใจใใใใจใฏใชใใใใฎใฏใใใฐใใใฎ็ฌ่บซใไบๅๅทปใงใชใใใใใ็ฎใใจใใไธกๆนใ ใใจใใใใจใฏ้้ใใ fact6: ใใฎ็ฌ่บซใฏ้ซๆดฅ้ใ fact7: ใใฎ็ฌ่บซใใใใใใใ fact8: ใใใใใใใใใใชใใ็ฎใใจใใชใใใใฎใฏใใใฐใใฎ็ฌ่บซใฏ่ณใ
ใใใชใ fact9: ไฝใใ่ชๅฐฝใ ใจใใใใจใฏใชใ fact10: ใใใใใฎ็พฉๅ
ใฏๆใใใใใใใใชใใใใผใฏใใงใณใธใซ่ฌใใจใใใใจใใชใใใจใใใใจใ็ๅฎใงใชใใชใใฐใใฎไปฃ่จบใใใผใฏใใงใณใธใซ่ฌใใจใใใใจใใชใ fact11: ใใใใใใฎใ็ใๆทฑใใชใใฐใใใฏใใใใใใใชใใใฎใงใใฃใฆ็ฎใใจใใชใใใฎ fact12: ใใใใฎไปฃ่จบใใใผใฏใใงใณใธใซ่ฌใใจใใใใจใใชใใชใใฐใใใฏ็ฝใฃใฝใใใใใใฟใใฟใใใ fact13: ใใไฝใใ่ณใใใใชใใชใใฐใใใใ็ใๆทฑใใใใซใใณใๅๅฒใใใจใใใใจใๆญฃใใ fact14: ใใใใใฎ้้ฆใใฟใใฟใใใใชใใฆ่ณใใใใใจใใใใจใๆใ็ซใใชใใชใใฐใใใ่ณใใใใจใใใใจใใชใ fact15: ใใใใใใฎใฏใใใใใใใจใใใใจใฏใชใใชใใฐใใใฎ็ฌ่บซใ็ฎใใจใใชใใใใใใฏ็ใๆทฑใใใจใใใใจใๅใ fact16: ใใใใใใใใใใจใใใใจใใชใใใใฎใใใใฐใใฎ็ฌ่บซใ็ใๆทฑใใชใ fact17: ใใใใใใฎใฏใฟใใฟใใใใชใใฐใใใฏ่ชๅฐฝใ fact18: ใใใใใใฎใฏใใซใใณใๅๅฒใใใใใใใใ่ณใใใใชใใชใใฐใใใฏใใใใใใใจใใใใจใฏใชใ fact19: ใ็ใๆทฑใใชใใใใฎใฏใใ fact20: ใใฎ็ฌ่บซใ็ใๆทฑใใจใใใใจใใชใ ; $hypothesis$ = ใใฎ็ฌ่บซใฏ็ฎใใจใใจใใใใจใฏใชใใใใใใฏใใใฏ็ใๆทฑใใใใใใฏไธกๆนใ ; $proof$ = | fact1 & fact15 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (Ex): ยฌ{A}x fact2: {F}{b} -> ยฌ(ยฌ{G}{b} & {E}{b}) fact3: {A}{br} fact4: ยฌ{A}{b} -> (ยฌ{B}{a} v {C}{a}) fact5: (x): ยฌ{BT}x -> ยฌ(ยฌ{CF}{a} v {B}{a}) fact6: {JE}{a} fact7: {A}{a} fact8: (x): (ยฌ{A}x & ยฌ{B}x) -> ยฌ{AT}{a} fact9: (Ex): ยฌ{F}x fact10: ยฌ(ยฌ{K}{d} & ยฌ{I}{d}) -> ยฌ{I}{c} fact11: (x): {C}x -> (ยฌ{A}x & ยฌ{B}x) fact12: ยฌ{I}{c} -> ({H}{c} & {G}{c}) fact13: (x): ยฌ{E}x -> ({C}x & {D}x) fact14: ยฌ(ยฌ{G}{b} & {E}{b}) -> ยฌ{E}{b} fact15: (x): ยฌ{A}x -> ยฌ(ยฌ{B}{a} v {C}{a}) fact16: (x): ยฌ{A}x -> ยฌ{C}{a} fact17: (x): {G}x -> {F}x fact18: (x): ({D}x & ยฌ{E}x) -> ยฌ{A}x fact19: (Ex): ยฌ{C}x fact20: ยฌ{C}{a} ; $hypothesis$ = (ยฌ{B}{a} v {C}{a}) ; $proof$ = | fact1 & fact15 -> hypothesis; __DISPROVED__ |
0.3 | ้ฃๅขใฏ็บ็ใใชใ | ยฌ{B} | fact1: ใใกใใใใใจใใใใจใฏใ้ฃๅขใฏ่ตทใใใชใใใจใใใใจใๅ้ฟใใ fact2: ใใๅบๆฅๅใใใจใ็ใใใฐ็ดๅญใซ้ฃใใใใใจใ็บ็ใใใใตใในใคใใใใจใใใใจใ่ตทใใใชใ fact3: ใ้ฃๅขใ็ใใใใจใใใใจใใใใกใใใใใจใใใใจใฏ่ตทใใชใใๅนใใ ใพใใซๅบใใใใจใฏ่ตทใใใใจใใใใจใซ้ปใพใใ fact4: ่ธๅฝใ็บ็ใใ fact5: ใญใผใฉใผในใฑใผใใฏ็บ็ใใ fact6: ใๆๅฎใ็บ็ใใใใจใใใใจใฏ็ๅฎใ fact7: ใใใฃใผใซใใฏใผใฏใฏ่ตทใใใจใใใใจใฏใๆฏใฉใใใใจใใใใจใ่ตทใใชใใใจใใใใจใๅถๆญขใใใใจใใใใจใฏๆญฃใใ fact8: ใใกใใใใใจใใใใจใฏ็ใใ fact9: ่ฅฟๆฅๆฌ้ถๅจใซใใถใใใจใใ้ค่ใฏ็ใใใใจใใใใจใซใใ็บ็ใใ fact10: ใใใ่กฐใใใใจใ็ใใใใจใใใใจใๆฌๅฝใ fact11: ๆๆกใ่ตทใใ fact12: ใใใๅฃใใใพใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏ็ๅฎใชใใฐใใกใใใใใจใใใใจใ็ใใชใใใใใๅนใใ ใพใใซๅบใใใใจใฏ่ตทใใ fact13: ใๆใ็บ็ใใชใใใจใใใใจใฏใใใซใผใใ็ใใใใใใใฏ็ดๅญใซ้ฃใใใใใจใ่ตทใใใใใใใฏไธกๆนใ ใใจใใใใจใใใฃใใใ fact14: ไบๅ็ฐๅทใซๆๆฐไปใใใจใ็บ็ใใใจใใใใจใฏใ็ดใใใใใจใ็ใใใใจใใใใจใ่ช็บใใ fact15: ใใๆใฏ็บ็ใใชใใชใใฐๅฃใใใพใใใจใใใใจใ่ตทใใชใใใชใพใใใใจใใใใจใ็บ็ใใชใ fact16: ็ฉๆใใจใใใใจใฏ็ใใ fact17: ใใชใใใใจใใใใจใฏ็บ็ใใชใใจใใใใจใฏ็ฉๆใใจใใใใจใ่ตทใใใจใใใใจใซๅถๆญขใใใ fact18: ใกใใกใใใใไฝฟใๅใใใจใๅจฏๆฅฝใ่ตทใใชใใจใใใใจใๆๆญขใใ fact19: ใ่ฒธใไปใใ็ใใใใจใใใใจใๆฌๅฝใ fact20: ใใจใใใใใใจใ่ตทใใชใใใจใใใใจใฏใใในใใผใฏใ็บ็ใใใใจใใใใจใซ้ปๆญขใใใ | fact1: {A} -> {B} fact2: {J} -> ({H} & ยฌ{I}) fact3: (ยฌ{A} & {C}) -> ยฌ{B} fact4: {BS} fact5: {DD} fact6: {II} fact7: {IA} -> {AP} fact8: {A} fact9: {BT} -> {AB} fact10: {AA} fact11: {FA} fact12: ยฌ{D} -> (ยฌ{A} & {C}) fact13: ({G} v {H}) -> ยฌ{F} fact14: {CP} -> {IU} fact15: ยฌ{F} -> (ยฌ{D} & ยฌ{E}) fact16: {FT} fact17: {FT} -> {EC} fact18: {FR} -> {IP} fact19: {HD} fact20: {ET} -> {AU} | [
"fact1 & fact8 -> hypothesis;"
] | [
"fact1 & fact8 -> hypothesis;"
] | ้ฃๅขใ็ใใชใ | ยฌ{B} | [] | 10 | 1 | 1 | 18 | 0 | 18 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใกใใใใใจใใใใจใฏใ้ฃๅขใฏ่ตทใใใชใใใจใใใใจใๅ้ฟใใ fact2: ใใๅบๆฅๅใใใจใ็ใใใฐ็ดๅญใซ้ฃใใใใใจใ็บ็ใใใใตใในใคใใใใจใใใใจใ่ตทใใใชใ fact3: ใ้ฃๅขใ็ใใใใจใใใใจใใใใกใใใใใจใใใใจใฏ่ตทใใชใใๅนใใ ใพใใซๅบใใใใจใฏ่ตทใใใใจใใใใจใซ้ปใพใใ fact4: ่ธๅฝใ็บ็ใใ fact5: ใญใผใฉใผในใฑใผใใฏ็บ็ใใ fact6: ใๆๅฎใ็บ็ใใใใจใใใใจใฏ็ๅฎใ fact7: ใใใฃใผใซใใฏใผใฏใฏ่ตทใใใจใใใใจใฏใๆฏใฉใใใใจใใใใจใ่ตทใใชใใใจใใใใจใๅถๆญขใใใใจใใใใจใฏๆญฃใใ fact8: ใใกใใใใใจใใใใจใฏ็ใใ fact9: ่ฅฟๆฅๆฌ้ถๅจใซใใถใใใจใใ้ค่ใฏ็ใใใใจใใใใจใซใใ็บ็ใใ fact10: ใใใ่กฐใใใใจใ็ใใใใจใใใใจใๆฌๅฝใ fact11: ๆๆกใ่ตทใใ fact12: ใใใๅฃใใใพใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏ็ๅฎใชใใฐใใกใใใใใจใใใใจใ็ใใชใใใใใๅนใใ ใพใใซๅบใใใใจใฏ่ตทใใ fact13: ใๆใ็บ็ใใชใใใจใใใใจใฏใใใซใผใใ็ใใใใใใใฏ็ดๅญใซ้ฃใใใใใจใ่ตทใใใใใใใฏไธกๆนใ ใใจใใใใจใใใฃใใใ fact14: ไบๅ็ฐๅทใซๆๆฐไปใใใจใ็บ็ใใใจใใใใจใฏใ็ดใใใใใจใ็ใใใใจใใใใจใ่ช็บใใ fact15: ใใๆใฏ็บ็ใใชใใชใใฐๅฃใใใพใใใจใใใใจใ่ตทใใชใใใชใพใใใใจใใใใจใ็บ็ใใชใ fact16: ็ฉๆใใจใใใใจใฏ็ใใ fact17: ใใชใใใใจใใใใจใฏ็บ็ใใชใใจใใใใจใฏ็ฉๆใใจใใใใจใ่ตทใใใจใใใใจใซๅถๆญขใใใ fact18: ใกใใกใใใใไฝฟใๅใใใจใๅจฏๆฅฝใ่ตทใใชใใจใใใใจใๆๆญขใใ fact19: ใ่ฒธใไปใใ็ใใใใจใใใใจใๆฌๅฝใ fact20: ใใจใใใใใใจใ่ตทใใชใใใจใใใใจใฏใใในใใผใฏใ็บ็ใใใใจใใใใจใซ้ปๆญขใใใ ; $hypothesis$ = ้ฃๅขใฏ็บ็ใใชใ ; $proof$ = | fact1 & fact8 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: {J} -> ({H} & ยฌ{I}) fact3: (ยฌ{A} & {C}) -> ยฌ{B} fact4: {BS} fact5: {DD} fact6: {II} fact7: {IA} -> {AP} fact8: {A} fact9: {BT} -> {AB} fact10: {AA} fact11: {FA} fact12: ยฌ{D} -> (ยฌ{A} & {C}) fact13: ({G} v {H}) -> ยฌ{F} fact14: {CP} -> {IU} fact15: ยฌ{F} -> (ยฌ{D} & ยฌ{E}) fact16: {FT} fact17: {FT} -> {EC} fact18: {FR} -> {IP} fact19: {HD} fact20: {ET} -> {AU} ; $hypothesis$ = ยฌ{B} ; $proof$ = | fact1 & fact8 -> hypothesis; __DISPROVED__ |
0.3 | ๆด็คผใฏ็ใใ | {B} | fact1: ๆ
ใใใใจใฏ่ตทใใใจใใใใจใใ็
ใใใจใใใใจใ่ตทใใใใจใใใใจใซใใ็ใใ fact2: ใ็ฒ็ถใ็ใใชใใใจใใใใจใใๆ
ใใใใจใ่ตทใใใใจใใใใจใซๅถๆญขใใใ fact3: ใใใ่ก่
ฅใใจใใใใจใ็บ็ใใชใใ็ช็ซใคใใจใ็บ็ใใใใจใใใใจใ่ชคใใชใใฐใณใฆใญใๆใใใใจใฏ่ตทใใ fact4: ๆด็คผใ็ใใใจใใใใจใฏใณใฆใญใๆใใใใจใ็ใใใจใใใใจใซใใ็ใใ fact5: ใใใ็ซใกไปฃใใใใใจใ่ตทใใใใจใใใใจใฏไบๅฎใจ็ฐใชใใฐๅไธๅๅๆก่ฅฟใใคใใฐใใใจใฏ่ตทใใใๅฎถไธญ่ใ่ฆใใใใใจใฏ็บ็ใใ fact6: ใใๅฎถไธญ่ใ่ฆใใใใใจใฏ่ตทใใใฐใ่ก่
ฅใใจใใใใจใฏ่ตทใใชใใใใใ็ช็ซใคใใจใ็บ็ใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact7: ใใใใ ใฆใใใจใจ่ๅฏใใจใใใใจใ็ใใใใจใใใใจใฏๆด็คผใฏ่ตทใใใจใใใใจใๅ้ฟใใ fact8: ใ็ซใกไปฃใใใใใจใ่ตทใใชใใ็ฆใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใ็ฒ็ถใใใฃใใใ | fact1: {K} -> {J} fact2: {J} -> {I} fact3: ยฌ(ยฌ{D} & {C}) -> {A} fact4: {A} -> {B} fact5: ยฌ{G} -> ({F} & {E}) fact6: {E} -> ยฌ(ยฌ{D} & {C}) fact7: ({AA} & {AB}) -> ยฌ{B} fact8: {I} -> (ยฌ{G} & ยฌ{H}) | [] | [] | ๆด็คผใ่ตทใใ | {B} | [] | 12 | 1 | null | 7 | 0 | 7 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ๆ
ใใใใจใฏ่ตทใใใจใใใใจใใ็
ใใใจใใใใจใ่ตทใใใใจใใใใจใซใใ็ใใ fact2: ใ็ฒ็ถใ็ใใชใใใจใใใใจใใๆ
ใใใใจใ่ตทใใใใจใใใใจใซๅถๆญขใใใ fact3: ใใใ่ก่
ฅใใจใใใใจใ็บ็ใใชใใ็ช็ซใคใใจใ็บ็ใใใใจใใใใจใ่ชคใใชใใฐใณใฆใญใๆใใใใจใฏ่ตทใใ fact4: ๆด็คผใ็ใใใจใใใใจใฏใณใฆใญใๆใใใใจใ็ใใใจใใใใจใซใใ็ใใ fact5: ใใใ็ซใกไปฃใใใใใจใ่ตทใใใใจใใใใจใฏไบๅฎใจ็ฐใชใใฐๅไธๅๅๆก่ฅฟใใคใใฐใใใจใฏ่ตทใใใๅฎถไธญ่ใ่ฆใใใใใจใฏ็บ็ใใ fact6: ใใๅฎถไธญ่ใ่ฆใใใใใจใฏ่ตทใใใฐใ่ก่
ฅใใจใใใใจใฏ่ตทใใชใใใใใ็ช็ซใคใใจใ็บ็ใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact7: ใใใใ ใฆใใใจใจ่ๅฏใใจใใใใจใ็ใใใใจใใใใจใฏๆด็คผใฏ่ตทใใใจใใใใจใๅ้ฟใใ fact8: ใ็ซใกไปฃใใใใใจใ่ตทใใชใใ็ฆใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใ็ฒ็ถใใใฃใใใ ; $hypothesis$ = ๆด็คผใฏ็ใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {K} -> {J} fact2: {J} -> {I} fact3: ยฌ(ยฌ{D} & {C}) -> {A} fact4: {A} -> {B} fact5: ยฌ{G} -> ({F} & {E}) fact6: {E} -> ยฌ(ยฌ{D} & {C}) fact7: ({AA} & {AB}) -> ยฌ{B} fact8: {I} -> (ยฌ{G} & ยฌ{H}) ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎใชใซใดใผใซใฏ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใชใใใใใใฏใใใฏๅคงใใใชใใใจใใใใจใๆใ็ซใใชใ | ยฌ(ยฌ{AA}{b} v ยฌ{AB}{b}) | fact1: ใใไฝใใใใฐใใฐใใใชใใฐใใใใฏใใ
ใคใชใใจใใใใจใใชใใฆไธ่ฑ้ปๆฉใใผใ ๆฉๅจใงใชใใใจใใใใจใๆญฃใใใชใ fact2: ใใใใฎใชใซใดใผใซใฏ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใใจใใใใจใใชใใชใใฐใใฎใใใฑใผใธใๅคงใใ fact3: ใใใใใใฎใฏๆตทๅฃซใถ็ฌๆธใงใชใใชใใฐใใใฏ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใชใใใใใๅคงใใใชใใใใใใฏไธกๆนใ fact4: ใใใฎๅค้ฃใๅฟ่ฆใใใจใใใใจใใชใใใใใใฏใใใฏใใใใจใซใใใใใใจใใใใจใฏใชใใใจใใใใจใ้้ใใ fact5: ใใฎใใใฑใผใธใๆตทๅฃซใถ็ฌๆธใ ใจใใใใจใฏใชใ fact6: ใใใใฎใชใซใดใผใซใ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใใจใใใใจใฏใชใใใใใใฏใใใๆตทๅฃซใถ็ฌๆธใงใชใใใจใใใใจใๅใงใชใใใจใใใใจใฏๆใ็ซใใชใ fact7: ใใใใฎใใใฑใผใธใฏๅคงใใใจใใใใจใฏใชใใชใใฐใใฎใชใซใดใผใซใฏๆตทๅฃซใถ็ฌๆธใ fact8: ใใใใฎใชใซใดใผใซใๆตทๅฃซใถ็ฌๆธใงใชใใชใใฐใใใฎใใใฑใผใธใ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใชใใๅคงใใใจใใใใจใใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ fact9: ใใใใฎใใใฑใผใธใฏๆตทๅฃซใถ็ฌๆธใ ใจใใใใจใฏใชใใชใใฐใใใฎใชใซใดใผใซใ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใชใใใใใใฏใใใฏๅคงใใใจใใใใจใใชใใไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact10: ใใใใใฎใใใฑใผใธใฏๆตทๅฃซใถ็ฌๆธใงใชใใใจใใใใจใฏๆใ็ซใฆใฐใใฎใชใซใดใผใซใฏ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใ | fact1: (x): {D}x -> ยฌ(ยฌ{B}x & ยฌ{C}x) fact2: ยฌ{AA}{b} -> {AB}{a} fact3: (x): ยฌ{A}x -> (ยฌ{AA}x v ยฌ{AB}x) fact4: ยฌ(ยฌ{BR}{im} v ยฌ{EL}{im}) fact5: ยฌ{A}{a} fact6: ยฌ(ยฌ{AA}{b} v ยฌ{A}{b}) fact7: ยฌ{AB}{a} -> {A}{b} fact8: ยฌ{A}{b} -> ยฌ(ยฌ{AA}{a} v ยฌ{AB}{a}) fact9: ยฌ{A}{a} -> ยฌ(ยฌ{AA}{b} v ยฌ{AB}{b}) fact10: ยฌ{A}{a} -> {AA}{b} | [
"fact9 & fact5 -> hypothesis;"
] | [
"fact9 & fact5 -> hypothesis;"
] | ใใฎในใฏใผใซใในใๆตทๅฃซใถ็ฌๆธใ ใจใใใใจใฏใชใ | ยฌ{A}{bm} | [
"fact11 -> int1: ใใใใฎใใใฑใผใธใฏใใฐใใฐใใใชใใฐใใใใใใ
ใคใชใใชใใใฎใงใใฃใฆไธ่ฑ้ปๆฉใใผใ ๆฉๅจใ ใจใใใใจใใชใใใฎใใจใใใใจใ่ชคใใ ;"
] | 5 | 1 | 1 | 8 | 0 | 8 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใไฝใใใใฐใใฐใใใชใใฐใใใใฏใใ
ใคใชใใจใใใใจใใชใใฆไธ่ฑ้ปๆฉใใผใ ๆฉๅจใงใชใใใจใใใใจใๆญฃใใใชใ fact2: ใใใใฎใชใซใดใผใซใฏ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใใจใใใใจใใชใใชใใฐใใฎใใใฑใผใธใๅคงใใ fact3: ใใใใใใฎใฏๆตทๅฃซใถ็ฌๆธใงใชใใชใใฐใใใฏ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใชใใใใใๅคงใใใชใใใใใใฏไธกๆนใ fact4: ใใใฎๅค้ฃใๅฟ่ฆใใใจใใใใจใใชใใใใใใฏใใใฏใใใใจใซใใใใใใจใใใใจใฏใชใใใจใใใใจใ้้ใใ fact5: ใใฎใใใฑใผใธใๆตทๅฃซใถ็ฌๆธใ ใจใใใใจใฏใชใ fact6: ใใใใฎใชใซใดใผใซใ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใใจใใใใจใฏใชใใใใใใฏใใใๆตทๅฃซใถ็ฌๆธใงใชใใใจใใใใจใๅใงใชใใใจใใใใจใฏๆใ็ซใใชใ fact7: ใใใใฎใใใฑใผใธใฏๅคงใใใจใใใใจใฏใชใใชใใฐใใฎใชใซใดใผใซใฏๆตทๅฃซใถ็ฌๆธใ fact8: ใใใใฎใชใซใดใผใซใๆตทๅฃซใถ็ฌๆธใงใชใใชใใฐใใใฎใใใฑใผใธใ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใชใใๅคงใใใจใใใใจใใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ fact9: ใใใใฎใใใฑใผใธใฏๆตทๅฃซใถ็ฌๆธใ ใจใใใใจใฏใชใใชใใฐใใใฎใชใซใดใผใซใ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใชใใใใใใฏใใใฏๅคงใใใจใใใใจใใชใใไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact10: ใใใใใฎใใใฑใผใธใฏๆตทๅฃซใถ็ฌๆธใงใชใใใจใใใใจใฏๆใ็ซใฆใฐใใฎใชใซใดใผใซใฏ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใ ; $hypothesis$ = ใใใฎใชใซใดใผใซใฏ่ฅฟ้่ฐทๆฐ็ฐใซใใใใใชใใใใใใฏใใใฏๅคงใใใชใใใจใใใใจใๆใ็ซใใชใ ; $proof$ = | fact9 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {D}x -> ยฌ(ยฌ{B}x & ยฌ{C}x) fact2: ยฌ{AA}{b} -> {AB}{a} fact3: (x): ยฌ{A}x -> (ยฌ{AA}x v ยฌ{AB}x) fact4: ยฌ(ยฌ{BR}{im} v ยฌ{EL}{im}) fact5: ยฌ{A}{a} fact6: ยฌ(ยฌ{AA}{b} v ยฌ{A}{b}) fact7: ยฌ{AB}{a} -> {A}{b} fact8: ยฌ{A}{b} -> ยฌ(ยฌ{AA}{a} v ยฌ{AB}{a}) fact9: ยฌ{A}{a} -> ยฌ(ยฌ{AA}{b} v ยฌ{AB}{b}) fact10: ยฌ{A}{a} -> {AA}{b} ; $hypothesis$ = ยฌ(ยฌ{AA}{b} v ยฌ{AB}{b}) ; $proof$ = | fact9 & fact5 -> hypothesis; __PROVED__ |
0.3 | ใใใใใใใจใฏ่ตทใใชใใใใใๅผใๆธกใใฏ็ใใใใจใใใใจใๅใ | ยฌ(ยฌ{AA} & {AB}) | fact1: ๅผใๆธกใใฏ่ตทใใใชใใจใใใใจใ็ฝ้ณฅๅฃๅฐใใฟใใใใคใใจใฏ่ตทใใชใใจใใใใจใซๆๆญขใใใ fact2: ใใ็ฝ้ณฅๅฃๅฐใใฟใใใใคใใจใฏ็บ็ใใชใใชใใฐใใใใใใจใงใฏใชใๅผใๆธกใใฏ็ใใ fact3: ็ฅใใฏ่ตทใใใชใใจใใใใจใฏใ็ทฉ่งฃใฏ็ใใชใใใซใใฏ่ตทใใใใจใใใใจใฎๅๅ ใจใชใ fact4: ใใ็ฝ้ณฅๅฃๅฐใใฟใใใใคใใจใฏ็ใใใฐใใใใใใใจใงใฏใชใๅผใๆธกใใฏ่ตทใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ | fact1: ยฌ{A} -> {AB} fact2: ยฌ{A} -> (ยฌ{AA} & {AB}) fact3: ยฌ{CI} -> (ยฌ{K} & {JG}) fact4: {A} -> ยฌ(ยฌ{AA} & {AB}) | [] | [] | ใใใใใใใจใงใฏใชใๅผใๆธกใใฏ่ตทใใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ(ยฌ{AA} & {AB}) | [] | 6 | 1 | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ๅผใๆธกใใฏ่ตทใใใชใใจใใใใจใ็ฝ้ณฅๅฃๅฐใใฟใใใใคใใจใฏ่ตทใใชใใจใใใใจใซๆๆญขใใใ fact2: ใใ็ฝ้ณฅๅฃๅฐใใฟใใใใคใใจใฏ็บ็ใใชใใชใใฐใใใใใใจใงใฏใชใๅผใๆธกใใฏ็ใใ fact3: ็ฅใใฏ่ตทใใใชใใจใใใใจใฏใ็ทฉ่งฃใฏ็ใใชใใใซใใฏ่ตทใใใใจใใใใจใฎๅๅ ใจใชใ fact4: ใใ็ฝ้ณฅๅฃๅฐใใฟใใใใคใใจใฏ็ใใใฐใใใใใใใจใงใฏใชใๅผใๆธกใใฏ่ตทใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ ; $hypothesis$ = ใใใใใใใจใฏ่ตทใใชใใใใใๅผใๆธกใใฏ็ใใใใจใใใใจใๅใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{A} -> {AB} fact2: ยฌ{A} -> (ยฌ{AA} & {AB}) fact3: ยฌ{CI} -> (ยฌ{K} & {JG}) fact4: {A} -> ยฌ(ยฌ{AA} & {AB}) ; $hypothesis$ = ยฌ(ยฌ{AA} & {AB}) ; $proof$ = | __UNKNOWN__ |
0.3 | ๅบฆใใใใจใใใใจใฏ่ตทใใใชใ | ยฌ{B} | fact1: ๆใใใใจใ็บ็ใใชใใจใใใใจใใใใใฏใใฃใชใใฃใผใ็ใใใจใใใใจใไธกๆนใใใใฃใชใใฃใผใ่ตทใใใชใใใจใใใใจใ้ปๆญขใใ fact2: ใใๆฐใใใใใใจใใใใจใฏ่ตทใใใฐใๅฃ็ญใใ็ใใชใใใใซใใใใใจใใใใจใ่ตทใใใชใใไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใ fact3: ใใชใผใใใบใฌ่พผใใใจใฏ็บ็ใใชใใใจใใใใจใๆใๅทปใใคใใใใใจใ่ตทใใใจใใใใจใซๅถๆญขใใใ fact4: ๅฝนใจ็ธ่
ฐๆใใซ็ทๆฏ็ซใคใใจใ่ตทใใ fact5: ใใใฃใชใใฃใผใฏ่ตทใใใชใใใจใใใใจใใๅฏๆใฏ็ใใใใจใใใใจใซๆๆญขใใใ fact6: ใใใใฃใชใใฃใผใฏ่ตทใใใฐใๆใๅทปใใคใใใใใจใฏ่ตทใใใชใใ่ฎใซ่ฉฃใงใใใจใ็ใใใใจใใใใจใฏ่ชคใใ fact7: ๅฏๆใๆใใใใจใ่ตทใใใชใใจใใใใจใใใใฃใชใใฃใผใฏ่ตทใใใใจใใใใจใไธกๆนใๅผใ่ตทใใ fact8: ใใๅฏๆใฏ่ตทใใใชใใชใใฐใใใฃใชใใฃใผใ็บ็ใใชใใๆใใใใจใฏ่ตทใใใชใใใจใใใใจใฏ้้ใใ fact9: ใใใใใฃใชใใฃใผใ่ตทใใใชใใๆใใใใจใ่ตทใใใชใใใจใใใใจใไบๅฎใจ็ฐใชใใฐใใฃใชใใฃใผใ็ใใ fact10: ๅฎค็ฉๆพๅใซใถใฃใใใใใจใฏ็ใใ fact11: ๆใ้ฃใใจใใใใจใฏ่ตทใใ fact12: ้ถด้ณดใซ่จใใใใจใจๅ่ฆๅ
ซ่ฆใฏ็ใใ fact13: ใใๅบฆใใใใจใใใใจใ็ใใชใใชใใฐ็ฃๅถใฏ่ตทใใใๆใๅทปใใคใใใใใจใ็บ็ใใชใ fact14: ใใใๅฏๆใจ่ฎใซ่ฉฃใงใใใจใ็ใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใชใใฐ่ฎใซ่ฉฃใงใใใจใฏ็บ็ใใชใ fact15: ใใๅฃ็ญใใ่ตทใใชใใชใใฐๆใใใใจใจๅฏๆใ่ตทใใ fact16: ใฐใฃใกใใจใใใใจใฏ่ตทใใใไปใใฏ็ใใ fact17: ่ฎใซ่ฉฃใงใใใจใฏ็ใใชใใจใใใใจใฏๅบฆใใใใจใใใใจใ็บ็ใใชใใจใใใใจใใใใใ fact18: ใใใๅฃ็ญใใ่ตทใใใชใใใใซใใใใใจใใใใจใฏ่ตทใใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏไบๅฎใจ็ฐใชใใฐๅฏๆใ่ตทใใ fact19: ๆใๅทปใใคใใใใใจใฏ็บ็ใใใๅบฆใใใใจใใใใจใฏ็ใใ | fact1: (ยฌ{F} v {D}) -> {D} fact2: {I} -> ยฌ(ยฌ{G} v ยฌ{H}) fact3: {A} -> {AA} fact4: ({N} & {T}) fact5: {E} -> {D} fact6: {D} -> ยฌ(ยฌ{A} & {C}) fact7: {E} -> (ยฌ{F} v {D}) fact8: ยฌ{E} -> ยฌ(ยฌ{D} & ยฌ{F}) fact9: ยฌ(ยฌ{D} & ยฌ{F}) -> {D} fact10: {AJ} fact11: {ET} fact12: ({BE} & {IJ}) fact13: ยฌ{B} -> ({EN} & ยฌ{A}) fact14: ยฌ({E} & {C}) -> ยฌ{C} fact15: ยฌ{G} -> ({F} & {E}) fact16: ({JD} & {DC}) fact17: ยฌ{C} -> ยฌ{B} fact18: ยฌ(ยฌ{G} v ยฌ{H}) -> {E} fact19: ({A} & {B}) | [
"fact19 -> hypothesis;"
] | [
"fact19 -> hypothesis;"
] | ็ฃๅถใฏ็ใใ | {EN} | [] | 8 | 1 | 1 | 18 | 0 | 18 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ๆใใใใจใ็บ็ใใชใใจใใใใจใใใใใฏใใฃใชใใฃใผใ็ใใใจใใใใจใไธกๆนใใใใฃใชใใฃใผใ่ตทใใใชใใใจใใใใจใ้ปๆญขใใ fact2: ใใๆฐใใใใใใจใใใใจใฏ่ตทใใใฐใๅฃ็ญใใ็ใใชใใใใซใใใใใจใใใใจใ่ตทใใใชใใไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใ fact3: ใใชใผใใใบใฌ่พผใใใจใฏ็บ็ใใชใใใจใใใใจใๆใๅทปใใคใใใใใจใ่ตทใใใจใใใใจใซๅถๆญขใใใ fact4: ๅฝนใจ็ธ่
ฐๆใใซ็ทๆฏ็ซใคใใจใ่ตทใใ fact5: ใใใฃใชใใฃใผใฏ่ตทใใใชใใใจใใใใจใใๅฏๆใฏ็ใใใใจใใใใจใซๆๆญขใใใ fact6: ใใใใฃใชใใฃใผใฏ่ตทใใใฐใๆใๅทปใใคใใใใใจใฏ่ตทใใใชใใ่ฎใซ่ฉฃใงใใใจใ็ใใใใจใใใใจใฏ่ชคใใ fact7: ๅฏๆใๆใใใใจใ่ตทใใใชใใจใใใใจใใใใฃใชใใฃใผใฏ่ตทใใใใจใใใใจใไธกๆนใๅผใ่ตทใใ fact8: ใใๅฏๆใฏ่ตทใใใชใใชใใฐใใใฃใชใใฃใผใ็บ็ใใชใใๆใใใใจใฏ่ตทใใใชใใใจใใใใจใฏ้้ใใ fact9: ใใใใใฃใชใใฃใผใ่ตทใใใชใใๆใใใใจใ่ตทใใใชใใใจใใใใจใไบๅฎใจ็ฐใชใใฐใใฃใชใใฃใผใ็ใใ fact10: ๅฎค็ฉๆพๅใซใถใฃใใใใใจใฏ็ใใ fact11: ๆใ้ฃใใจใใใใจใฏ่ตทใใ fact12: ้ถด้ณดใซ่จใใใใจใจๅ่ฆๅ
ซ่ฆใฏ็ใใ fact13: ใใๅบฆใใใใจใใใใจใ็ใใชใใชใใฐ็ฃๅถใฏ่ตทใใใๆใๅทปใใคใใใใใจใ็บ็ใใชใ fact14: ใใใๅฏๆใจ่ฎใซ่ฉฃใงใใใจใ็ใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใชใใฐ่ฎใซ่ฉฃใงใใใจใฏ็บ็ใใชใ fact15: ใใๅฃ็ญใใ่ตทใใชใใชใใฐๆใใใใจใจๅฏๆใ่ตทใใ fact16: ใฐใฃใกใใจใใใใจใฏ่ตทใใใไปใใฏ็ใใ fact17: ่ฎใซ่ฉฃใงใใใจใฏ็ใใชใใจใใใใจใฏๅบฆใใใใจใใใใจใ็บ็ใใชใใจใใใใจใใใใใ fact18: ใใใๅฃ็ญใใ่ตทใใใชใใใใซใใใใใจใใใใจใฏ่ตทใใชใใใใใใฏไธกๆนใ ใใจใใใใจใฏไบๅฎใจ็ฐใชใใฐๅฏๆใ่ตทใใ fact19: ๆใๅทปใใคใใใใใจใฏ็บ็ใใใๅบฆใใใใจใใใใจใฏ็ใใ ; $hypothesis$ = ๅบฆใใใใจใใใใจใฏ่ตทใใใชใ ; $proof$ = | fact19 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (ยฌ{F} v {D}) -> {D} fact2: {I} -> ยฌ(ยฌ{G} v ยฌ{H}) fact3: {A} -> {AA} fact4: ({N} & {T}) fact5: {E} -> {D} fact6: {D} -> ยฌ(ยฌ{A} & {C}) fact7: {E} -> (ยฌ{F} v {D}) fact8: ยฌ{E} -> ยฌ(ยฌ{D} & ยฌ{F}) fact9: ยฌ(ยฌ{D} & ยฌ{F}) -> {D} fact10: {AJ} fact11: {ET} fact12: ({BE} & {IJ}) fact13: ยฌ{B} -> ({EN} & ยฌ{A}) fact14: ยฌ({E} & {C}) -> ยฌ{C} fact15: ยฌ{G} -> ({F} & {E}) fact16: ({JD} & {DC}) fact17: ยฌ{C} -> ยฌ{B} fact18: ยฌ(ยฌ{G} v ยฌ{H}) -> {E} fact19: ({A} & {B}) ; $hypothesis$ = ยฌ{B} ; $proof$ = | fact19 -> hypothesis; __DISPROVED__ |
0.3 | ใใใชใใใใใจใ็ใใ | {B} | fact1: ๅฏ่งฃใฏ็บ็ใใชใ fact2: ใใใใชใใใใใจใฏ่ตทใใใไบๅกๆใ่ตทใใใใจใใใใจใฏไธไฟก็ทใใใใใใจใฏ็บ็ใใชใใจใใใใจใซ่ตทๅ ใใ fact3: ใใ็จฎๅฅใ็ใใใฐ็ตๅใใงใฏใชใไปๅใใฏ่ตทใใ fact4: ๆฐไธญใซๆฏใใพใใใใจใ่ตทใใชใใจใใใใจใฏไบใๅฒฉใซไปๅใใใจใฏ่ตทใใใจใใใใจใใใกใใฉใใจใใใใจใ่ตทใใใชใใจใใใใจใใใใใฏไธกๆนใซๅธฐ็ตใใ fact5: ใใใๅณๅณใใใจใใใใจใฏ่ตทใใชใใใจใใใใจใใใใใใใใจใใใใจใฏ่ตทใใชใใจใใใใจใซใใใใใใ fact6: ใใใใชใใใใใจใ่ตทใใใใจใใใใจใใไบๅกๆใฏ็ใใชใใใจใใใใจใซ้ฒใใใ fact7: ไธไฟก็ทใใใใใใจใฏ็บ็ใใใจใใใใจใใทใใใ็บ็ใใใจใใใใจใซ้ปๆญขใใใ fact8: ๆๅขใ็บ็ใใชใ fact9: ใชใซใใใใชใใจใใใใจใจ็จฎๅฅไธกๆนใ่ตทใใ fact10: ใใๅทปใฏ่ตทใใใชใใชใใฐๆฐไธญใซๆฏใใพใใใใจใฏ็บ็ใใชใใๅฒๆตใๅทฎใๅปถในใใใจใฏ็บ็ใใชใ fact11: ๆฐไธญใซๆฏใใพใใใใจใ็บ็ใใชใ fact12: ใ่่่ฒใซใใใชใใใใจใ่ตทใใใใจใใใใจใฏใขใซใดใชใบใ ใฏ็ใใชใใจใใใใจใซๅถๆญขใใใ fact13: ใใใใกใใใฉใใ
ใใๅขใใใใจใ็บ็ใใชใใใใซใ ใซใฌใใฟใ ใใใใจใ็ใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใใชใใฐใใซใ ใซใฌใใฟใ ใใใใจใ่ตทใใ fact14: ใใใ็ตๅใใ่ตทใใชใใใจใใใใจใฏๆญฃใใใชใใฐใใกใใใฉใใ
ใใๅขใใใใจใ็บ็ใใชใใฆใใซใ ใซใฌใใฟใ ใใใใจใฏ่ตทใใใชใใใจใใใใจใๅฝใ fact15: ้ฃใฏ่ตทใใชใ fact16: ๅบ็ซใฆใฏ็ใใชใ fact17: ใใใซใ ใซใฌใใฟใ ใใใใจใฏ็บ็ใใใใจใใใใจใใใพใฃใใใใจใใใใจใฏ็ใใชใใฆๅทปใฏ็บ็ใใชใใใจใใใใจใซ็นใใ | fact1: ยฌ{BN} fact2: ยฌ{C} -> ({B} & {A}) fact3: {O} -> (ยฌ{M} & {N}) fact4: ยฌ{G} -> ({F} v ยฌ{E}) fact5: ยฌ{GM} -> ยฌ{BB} fact6: ยฌ{A} -> ยฌ{B} fact7: {D} -> ยฌ{C} fact8: ยฌ{EC} fact9: ({P} & {O}) fact10: ยฌ{I} -> (ยฌ{G} & ยฌ{H}) fact11: ยฌ{G} fact12: ยฌ{FE} -> ยฌ{FC} fact13: ยฌ(ยฌ{L} & ยฌ{K}) -> {K} fact14: ยฌ{M} -> ยฌ(ยฌ{L} & ยฌ{K}) fact15: ยฌ{DF} fact16: ยฌ{AU} fact17: {K} -> (ยฌ{J} & ยฌ{I}) | [] | [] | ใใใชใใใใใจใฏ่ตทใใ | {B} | [
"fact22 -> int1: ็จฎๅฅใฏ็ใใ; fact21 & int1 -> int2: ็ตๅใใฏ่ตทใใชใใใใใไปๅใใฏ็บ็ใใ; int2 -> int3: ็ตๅใใฏ็ใใชใ; fact20 & int3 -> int4: ใใกใใใฉใใ
ใใๅขใใใใจใฏ็บ็ใใชใใฆใใซใ ใซใฌใใฟใ ใใใใจใฏ่ตทใใชใใใจใใใใจใฏ่ชคใใ ; fact25 & int4 -> int5: ใใซใ ใซใฌใใฟใ ใใใใจใฏ่ตทใใ; fact18 & int5 -> int6: ใพใฃใใใใจใใใใจใ็ใใชใใๅทปใ่ตทใใชใ; int6 -> int7: ๅทปใ็บ็ใใชใ; fact26 & int7 -> int8: ๆฐไธญใซๆฏใใพใใใใจใฏ็ใใชใใฆๅฒๆตใๅทฎใๅปถในใใใจใฏ็ใใชใ; int8 -> int9: ๆฐไธญใซๆฏใใพใใใใจใฏ่ตทใใชใ; fact24 & int9 -> int10: ไบใๅฒฉใซไปๅใใใจใ่ตทใใใใใใใฏใใกใใฉใใจใใใใจใ่ตทใใใชใใใใใใฏไธกๆนใ ;"
] | 14 | 1 | null | 16 | 0 | 16 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ๅฏ่งฃใฏ็บ็ใใชใ fact2: ใใใใชใใใใใจใฏ่ตทใใใไบๅกๆใ่ตทใใใใจใใใใจใฏไธไฟก็ทใใใใใใจใฏ็บ็ใใชใใจใใใใจใซ่ตทๅ ใใ fact3: ใใ็จฎๅฅใ็ใใใฐ็ตๅใใงใฏใชใไปๅใใฏ่ตทใใ fact4: ๆฐไธญใซๆฏใใพใใใใจใ่ตทใใชใใจใใใใจใฏไบใๅฒฉใซไปๅใใใจใฏ่ตทใใใจใใใใจใใใกใใฉใใจใใใใจใ่ตทใใใชใใจใใใใจใใใใใฏไธกๆนใซๅธฐ็ตใใ fact5: ใใใๅณๅณใใใจใใใใจใฏ่ตทใใชใใใจใใใใจใใใใใใใใจใใใใจใฏ่ตทใใชใใจใใใใจใซใใใใใใ fact6: ใใใใชใใใใใจใ่ตทใใใใจใใใใจใใไบๅกๆใฏ็ใใชใใใจใใใใจใซ้ฒใใใ fact7: ไธไฟก็ทใใใใใใจใฏ็บ็ใใใจใใใใจใใทใใใ็บ็ใใใจใใใใจใซ้ปๆญขใใใ fact8: ๆๅขใ็บ็ใใชใ fact9: ใชใซใใใใชใใจใใใใจใจ็จฎๅฅไธกๆนใ่ตทใใ fact10: ใใๅทปใฏ่ตทใใใชใใชใใฐๆฐไธญใซๆฏใใพใใใใจใฏ็บ็ใใชใใๅฒๆตใๅทฎใๅปถในใใใจใฏ็บ็ใใชใ fact11: ๆฐไธญใซๆฏใใพใใใใจใ็บ็ใใชใ fact12: ใ่่่ฒใซใใใชใใใใจใ่ตทใใใใจใใใใจใฏใขใซใดใชใบใ ใฏ็ใใชใใจใใใใจใซๅถๆญขใใใ fact13: ใใใใกใใใฉใใ
ใใๅขใใใใจใ็บ็ใใชใใใใซใ ใซใฌใใฟใ ใใใใจใ็ใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใใชใใฐใใซใ ใซใฌใใฟใ ใใใใจใ่ตทใใ fact14: ใใใ็ตๅใใ่ตทใใชใใใจใใใใจใฏๆญฃใใใชใใฐใใกใใใฉใใ
ใใๅขใใใใจใ็บ็ใใชใใฆใใซใ ใซใฌใใฟใ ใใใใจใฏ่ตทใใใชใใใจใใใใจใๅฝใ fact15: ้ฃใฏ่ตทใใชใ fact16: ๅบ็ซใฆใฏ็ใใชใ fact17: ใใใซใ ใซใฌใใฟใ ใใใใจใฏ็บ็ใใใใจใใใใจใใใพใฃใใใใจใใใใจใฏ็ใใชใใฆๅทปใฏ็บ็ใใชใใใจใใใใจใซ็นใใ ; $hypothesis$ = ใใใชใใใใใจใ็ใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{BN} fact2: ยฌ{C} -> ({B} & {A}) fact3: {O} -> (ยฌ{M} & {N}) fact4: ยฌ{G} -> ({F} v ยฌ{E}) fact5: ยฌ{GM} -> ยฌ{BB} fact6: ยฌ{A} -> ยฌ{B} fact7: {D} -> ยฌ{C} fact8: ยฌ{EC} fact9: ({P} & {O}) fact10: ยฌ{I} -> (ยฌ{G} & ยฌ{H}) fact11: ยฌ{G} fact12: ยฌ{FE} -> ยฌ{FC} fact13: ยฌ(ยฌ{L} & ยฌ{K}) -> {K} fact14: ยฌ{M} -> ยฌ(ยฌ{L} & ยฌ{K}) fact15: ยฌ{DF} fact16: ยฌ{AU} fact17: {K} -> (ยฌ{J} & ยฌ{I}) ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎใณใณใใฉใๆฆๅณถใ ใใจใใใใจใฏๆญฃใใ | {B}{b} | fact1: ใใใฎใณใณใใฉใๅๆญๅฑฑๅคงใ็ตใฟใใใชใใใใใใใใฏๆฆๅณถใ ใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใใใใฎใกใผใณในใใชใผใใๆฅ็ซใใฉใณใๅปบ่จญใงใชใใใใใๆฆๅณถใ ใใจใใใใจใ้้ใใชใใฐใใฎใณใณใใฉใฏๅๆญๅฑฑๅคงใ็ตใฟใใใ fact3: ใใใใใฎใกใผใณในใใชใผใใฏๅๆญๅฑฑๅคงใ็ตใฟใใใชใใฆๆฆๅณถใ ใใจใใใใจใไบๅฎใงใชใใชใใฐใใฎใณใณใใฉใๆฅ็ซใใฉใณใๅปบ่จญใ fact4: ใใฎใกใผใณในใใชใผใใฏๆฆๅณถใ fact5: ใใฎใณใณใใฉใฏๆฅ็ซใใฉใณใๅปบ่จญใ fact6: ใใใใฎใกใผใณในใใชใผใใฏๆฅ็ซใใฉใณใๅปบ่จญใชใใฐใใฎใณใณใใฉใฏๆฆๅณถใ fact7: ใใใใใฎใณใณใใฉใๆฅ็ซใใฉใณใๅปบ่จญใ ใจใใใใจใใชใใใใใฏๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใ้้ใใชใใฐใใฎใกใผใณในใใชใผใใฏๆฆๅณถใ fact8: ใใใใฎใกใผใณในใใชใผใใๆๆฉใใชใใๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใไบๅฎใจ็ฐใชใใใจใใใใจใไบๅฎใ fact9: ใใใใใฎใณใณใใฉใฏๅๆญๅฑฑๅคงใ็ตใฟใใใชใใๆฅ็ซใใฉใณใๅปบ่จญใ ใใจใใใใจใไบๅฎใจ็ฐใชใใฐใใฎใกใผใณในใใชใผใใๆฆๅณถใ fact10: ใใฎใณใณใใฉใๆธ
่ผใ fact11: ใใใฎใกใผใณในใใชใผใใฏๆฅ็ซใใฉใณใๅปบ่จญใ ใๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใฏๆใ็ซใใชใ fact12: ใใใฎใกใผใณในใใชใผใใฏๆฅ็ซใใฉใณใๅปบ่จญใ ใจใใใใจใฏใชใใๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใฏๆใ็ซใใชใ fact13: ใใฎใณใณใใฉใ้ฃใ fact14: ใใใใใฎใกใผใณในใใชใผใใๆฅ็ซใใฉใณใๅปบ่จญใ ใจใใใใจใฏใชใใๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใใชใใฐใใฎใณใณใใฉใๆฆๅณถใ | fact1: ยฌ(ยฌ{AB}{b} & {B}{b}) fact2: ยฌ(ยฌ{AA}{a} & {B}{a}) -> {AB}{b} fact3: ยฌ(ยฌ{AB}{a} & {B}{a}) -> {AA}{b} fact4: {B}{a} fact5: {AA}{b} fact6: {AA}{a} -> {B}{b} fact7: ยฌ(ยฌ{AA}{b} & {AB}{b}) -> {B}{a} fact8: ยฌ(ยฌ{FS}{a} & {AB}{a}) fact9: ยฌ(ยฌ{AB}{b} & {AA}{b}) -> {B}{a} fact10: {DF}{b} fact11: ยฌ({AA}{a} & {AB}{a}) fact12: ยฌ(ยฌ{AA}{a} & {AB}{a}) fact13: {CB}{b} fact14: ยฌ(ยฌ{AA}{a} & {AB}{a}) -> {B}{b} | [
"fact14 & fact12 -> hypothesis;"
] | [
"fact14 & fact12 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 12 | 0 | 12 | PROVED | null | PROVED | null | $facts$ = fact1: ใใใฎใณใณใใฉใๅๆญๅฑฑๅคงใ็ตใฟใใใชใใใใใใใใฏๆฆๅณถใ ใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใใใใฎใกใผใณในใใชใผใใๆฅ็ซใใฉใณใๅปบ่จญใงใชใใใใใๆฆๅณถใ ใใจใใใใจใ้้ใใชใใฐใใฎใณใณใใฉใฏๅๆญๅฑฑๅคงใ็ตใฟใใใ fact3: ใใใใใฎใกใผใณในใใชใผใใฏๅๆญๅฑฑๅคงใ็ตใฟใใใชใใฆๆฆๅณถใ ใใจใใใใจใไบๅฎใงใชใใชใใฐใใฎใณใณใใฉใๆฅ็ซใใฉใณใๅปบ่จญใ fact4: ใใฎใกใผใณในใใชใผใใฏๆฆๅณถใ fact5: ใใฎใณใณใใฉใฏๆฅ็ซใใฉใณใๅปบ่จญใ fact6: ใใใใฎใกใผใณในใใชใผใใฏๆฅ็ซใใฉใณใๅปบ่จญใชใใฐใใฎใณใณใใฉใฏๆฆๅณถใ fact7: ใใใใใฎใณใณใใฉใๆฅ็ซใใฉใณใๅปบ่จญใ ใจใใใใจใใชใใใใใฏๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใ้้ใใชใใฐใใฎใกใผใณในใใชใผใใฏๆฆๅณถใ fact8: ใใใใฎใกใผใณในใใชใผใใๆๆฉใใชใใๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใไบๅฎใจ็ฐใชใใใจใใใใจใไบๅฎใ fact9: ใใใใใฎใณใณใใฉใฏๅๆญๅฑฑๅคงใ็ตใฟใใใชใใๆฅ็ซใใฉใณใๅปบ่จญใ ใใจใใใใจใไบๅฎใจ็ฐใชใใฐใใฎใกใผใณในใใชใผใใๆฆๅณถใ fact10: ใใฎใณใณใใฉใๆธ
่ผใ fact11: ใใใฎใกใผใณในใใชใผใใฏๆฅ็ซใใฉใณใๅปบ่จญใ ใๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใฏๆใ็ซใใชใ fact12: ใใใฎใกใผใณในใใชใผใใฏๆฅ็ซใใฉใณใๅปบ่จญใ ใจใใใใจใฏใชใใๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใฏๆใ็ซใใชใ fact13: ใใฎใณใณใใฉใ้ฃใ fact14: ใใใใใฎใกใผใณในใใชใผใใๆฅ็ซใใฉใณใๅปบ่จญใ ใจใใใใจใฏใชใใๅๆญๅฑฑๅคงใ็ตใฟใใใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใใชใใฐใใฎใณใณใใฉใๆฆๅณถใ ; $hypothesis$ = ใใใฎใณใณใใฉใๆฆๅณถใ ใใจใใใใจใฏๆญฃใใ ; $proof$ = | fact14 & fact12 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ(ยฌ{AB}{b} & {B}{b}) fact2: ยฌ(ยฌ{AA}{a} & {B}{a}) -> {AB}{b} fact3: ยฌ(ยฌ{AB}{a} & {B}{a}) -> {AA}{b} fact4: {B}{a} fact5: {AA}{b} fact6: {AA}{a} -> {B}{b} fact7: ยฌ(ยฌ{AA}{b} & {AB}{b}) -> {B}{a} fact8: ยฌ(ยฌ{FS}{a} & {AB}{a}) fact9: ยฌ(ยฌ{AB}{b} & {AA}{b}) -> {B}{a} fact10: {DF}{b} fact11: ยฌ({AA}{a} & {AB}{a}) fact12: ยฌ(ยฌ{AA}{a} & {AB}{a}) fact13: {CB}{b} fact14: ยฌ(ยฌ{AA}{a} & {AB}{a}) -> {B}{b} ; $hypothesis$ = {B}{b} ; $proof$ = | fact14 & fact12 -> hypothesis; __PROVED__ |
0.3 | ใใฎ่ปๅกใฏๅฝฆๅณถ่งๅใงใชใใใใใๆธก่ฏๅ่งฆใซไปฃใใชใ | (ยฌ{AA}{a} & ยฌ{AB}{a}) | fact1: ใใฎ่ปๅกใใฎใฟใปใใจใใใใจใใชใ fact2: ใใใใฎ็
ใๅใ็บใใชใใชใใฐใใใใใใชใใจใใใใจใใชใใใฎใงใใฃใฆไธใใใ ใ ใใฎ fact3: ใใใฎ็ ็ณใฏๆธก่ฏๅ่งฆใซไปฃใใชใใใจใใใใจใฏๆใ็ซใค fact4: ใใใใใใฎใใใชใฆใฎใ ใจใใใใจใใชใใชใใฐใใใใ็็ฝใใจใใใใจใใชใใใใใใใใใใใใชใใใจใใใใจใๆญฃใใ fact5: ใใไฝใใฏๅใ็บใใใจใใใใจใใชใใใใใใใใฏใใใชใใชใใฐใใใฎๆฏๆตใไธใใใ ใงใชใใใจใใใใจใๆใ็ซใค fact6: ใใฎ่ปๅกใๅฝฆๅณถ่งๅใงใชใใๆธก่ฏๅ่งฆใซไปฃใใชใ fact7: ใใฎ่ๅ
ใๅฝฆๅณถ่งๅใงใชใ fact8: ใใฎ่ปๅกใ็ขๅถใซใตใใใพใชใ fact9: ใใใใฎๅใๆญใฏใใใใใใใชใใชใใฐใใใฎๆๆฅ้ฆใๅใ็บใใใจใใใใจใฏใชใใใใใชใใใจใใใใจใไบๅฎใ fact10: ใใฎ่ปๅกใฏๆใ็ฉใ ใจใใใใจใใชใใๅณก่ฐทใ ใจใใใใจใฏใชใ fact11: ใใฎๆๅ ใๆธก่ฏๅ่งฆใซไปฃใใชใใใใใฏๅคงๅณฐๆฒผใ ใจใใใใจใใชใ fact12: ใใใใใใฎใฏๆฟซ็ฒใ้ฃใณใใคใจใใใใจใฏใชใใชใใฐใใใใๅฝฆๅณถ่งๅใ ใจใใใใจใฏใชใใฆใใใๆธก่ฏๅ่งฆใซไปฃใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact13: ใใใใใใฎใฏๆฟซ็ฒใ้ฃใณใใคใจใใใใจใฏใชใใชใใฐใใใๅฝฆๅณถ่งๅใ ใจใใใใจใฏใชใใฆใฟใฅใใใชใ fact14: ใใฎ่ปๅกใฏๅฝฆๅณถ่งๅใงใชใ fact15: ใใฎใฉใธใชใใผใณใณใๅฝฆๅณถ่งๅใ ใจใใใใจใใชใ fact16: ใใฎ่ปๅกใใใใผใใฅใใใชใ fact17: ใๅ
จใฆใฏใใชใฆใฎใงใชใใใจใใใใจใฏๆญฃใใ fact18: ใใใใใชใใชใใใฎใไธใใใ ใชใใฐใใใใๆฟซ็ฒใ้ฃใณใใคใจใใใใจใใชใใใจใใใใจใฏๆใ็ซใค | fact1: ยฌ{CI}{a} fact2: ยฌ{D}{hi} -> (ยฌ{C}{hi} & {B}{hi}) fact3: ยฌ{AB}{cj} fact4: (x): ยฌ{G}x -> (ยฌ{F}x & ยฌ{E}x) fact5: (x): (ยฌ{D}x & {C}x) -> ยฌ{B}{b} fact6: (ยฌ{AA}{a} & ยฌ{AB}{a}) fact7: ยฌ{AA}{gh} fact8: ยฌ{EC}{a} fact9: ยฌ{E}{d} -> (ยฌ{D}{c} & {C}{c}) fact10: (ยฌ{FI}{a} & ยฌ{DE}{a}) fact11: (ยฌ{AB}{ht} & ยฌ{BT}{ht}) fact12: (x): ยฌ{A}x -> ยฌ(ยฌ{AA}x & ยฌ{AB}x) fact13: (x): ยฌ{A}x -> (ยฌ{AA}x & ยฌ{AS}x) fact14: ยฌ{AA}{a} fact15: ยฌ{AA}{gg} fact16: ยฌ{GP}{a} fact17: (x): ยฌ{G}x fact18: (x): (ยฌ{C}x & {B}x) -> ยฌ{A}x | [
"fact6 -> hypothesis;"
] | [
"fact6 -> hypothesis;"
] | ใใใฎ่ปๅกใๅฝฆๅณถ่งๅใ ใจใใใใจใใชใใฆใใใฏๆธก่ฏๅ่งฆใซไปฃใใใจใใใใจใใชใใใจใใใใจใฏๆฌๅฝใงใชใ | ยฌ(ยฌ{AA}{a} & ยฌ{AB}{a}) | [
"fact19 -> int1: ใใใใใฎ่ปๅกใๆฟซ็ฒใ้ฃใณใใใชใใชใใฐใใใใฎ่ปๅกใฏๅฝฆๅณถ่งๅใงใชใใๆธก่ฏๅ่งฆใซไปฃใใใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใใชใใใจใใใใจใๆใ็ซใคใใจใใใใจใๆใ็ซใค; fact23 -> int2: ใใใใฎ่ๆใใใชใฆใฎใ ใจใใใใจใใชใใชใใฐใใใฏ็็ฝใใชใใใใใใใใใจใใใใจใฏใชใ; fact22 -> int3: ใใฎ่ๆใใใชใฆใฎใ ใจใใใใจใใชใ; int2 & int3 -> int4: ใใฎ่ๆใฏ็็ฝใใจใใใใจใใชใใฆใใใใใใใใใใจใใใใจใใชใ; int4 -> int5: ๅ
จใฆใ็็ฝใใจใใใใจใฏใชใใใฎใงใใฃใฆใใใใใใใจใใใใจใใชใใใฎ; int5 -> int6: ใใฎๅใๆญใ็็ฝใใจใใใใจใฏใชใใฆใใใใใใใใใใชใ; int6 -> int7: ใใฎๅใๆญใใใใใใใใชใ; fact20 & int7 -> int8: ใใฎๆๆฅ้ฆใๅใ็บใใใจใใใใจใใชใใใใใชใ; int8 -> int9: ไฝใใฏๅใ็บใใใจใใใใจใใชใใใใใใใใฏใใใชใ; int9 & fact21 -> int10: ใใใฎๆฏๆตใไธใใใ ใ ใจใใใใจใใชใใใจใใใใจใฏ่ชคใใงใชใ; int10 -> int11: ใไธใใใ ใ ใจใใใใจใฏใชใใใใฎใใใ;"
] | 11 | 1 | 0 | 17 | 0 | 17 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใฎ่ปๅกใใฎใฟใปใใจใใใใจใใชใ fact2: ใใใใฎ็
ใๅใ็บใใชใใชใใฐใใใใใใชใใจใใใใจใใชใใใฎใงใใฃใฆไธใใใ ใ ใใฎ fact3: ใใใฎ็ ็ณใฏๆธก่ฏๅ่งฆใซไปฃใใชใใใจใใใใจใฏๆใ็ซใค fact4: ใใใใใใฎใใใชใฆใฎใ ใจใใใใจใใชใใชใใฐใใใใ็็ฝใใจใใใใจใใชใใใใใใใใใใใใชใใใจใใใใจใๆญฃใใ fact5: ใใไฝใใฏๅใ็บใใใจใใใใจใใชใใใใใใใใฏใใใชใใชใใฐใใใฎๆฏๆตใไธใใใ ใงใชใใใจใใใใจใๆใ็ซใค fact6: ใใฎ่ปๅกใๅฝฆๅณถ่งๅใงใชใใๆธก่ฏๅ่งฆใซไปฃใใชใ fact7: ใใฎ่ๅ
ใๅฝฆๅณถ่งๅใงใชใ fact8: ใใฎ่ปๅกใ็ขๅถใซใตใใใพใชใ fact9: ใใใใฎๅใๆญใฏใใใใใใใชใใชใใฐใใใฎๆๆฅ้ฆใๅใ็บใใใจใใใใจใฏใชใใใใใชใใใจใใใใจใไบๅฎใ fact10: ใใฎ่ปๅกใฏๆใ็ฉใ ใจใใใใจใใชใใๅณก่ฐทใ ใจใใใใจใฏใชใ fact11: ใใฎๆๅ ใๆธก่ฏๅ่งฆใซไปฃใใชใใใใใฏๅคงๅณฐๆฒผใ ใจใใใใจใใชใ fact12: ใใใใใใฎใฏๆฟซ็ฒใ้ฃใณใใคใจใใใใจใฏใชใใชใใฐใใใใๅฝฆๅณถ่งๅใ ใจใใใใจใฏใชใใฆใใใๆธก่ฏๅ่งฆใซไปฃใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact13: ใใใใใใฎใฏๆฟซ็ฒใ้ฃใณใใคใจใใใใจใฏใชใใชใใฐใใใๅฝฆๅณถ่งๅใ ใจใใใใจใฏใชใใฆใฟใฅใใใชใ fact14: ใใฎ่ปๅกใฏๅฝฆๅณถ่งๅใงใชใ fact15: ใใฎใฉใธใชใใผใณใณใๅฝฆๅณถ่งๅใ ใจใใใใจใใชใ fact16: ใใฎ่ปๅกใใใใผใใฅใใใชใ fact17: ใๅ
จใฆใฏใใชใฆใฎใงใชใใใจใใใใจใฏๆญฃใใ fact18: ใใใใใชใใชใใใฎใไธใใใ ใชใใฐใใใใๆฟซ็ฒใ้ฃใณใใคใจใใใใจใใชใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใฎ่ปๅกใฏๅฝฆๅณถ่งๅใงใชใใใใใๆธก่ฏๅ่งฆใซไปฃใใชใ ; $proof$ = | fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{CI}{a} fact2: ยฌ{D}{hi} -> (ยฌ{C}{hi} & {B}{hi}) fact3: ยฌ{AB}{cj} fact4: (x): ยฌ{G}x -> (ยฌ{F}x & ยฌ{E}x) fact5: (x): (ยฌ{D}x & {C}x) -> ยฌ{B}{b} fact6: (ยฌ{AA}{a} & ยฌ{AB}{a}) fact7: ยฌ{AA}{gh} fact8: ยฌ{EC}{a} fact9: ยฌ{E}{d} -> (ยฌ{D}{c} & {C}{c}) fact10: (ยฌ{FI}{a} & ยฌ{DE}{a}) fact11: (ยฌ{AB}{ht} & ยฌ{BT}{ht}) fact12: (x): ยฌ{A}x -> ยฌ(ยฌ{AA}x & ยฌ{AB}x) fact13: (x): ยฌ{A}x -> (ยฌ{AA}x & ยฌ{AS}x) fact14: ยฌ{AA}{a} fact15: ยฌ{AA}{gg} fact16: ยฌ{GP}{a} fact17: (x): ยฌ{G}x fact18: (x): (ยฌ{C}x & {B}x) -> ยฌ{A}x ; $hypothesis$ = (ยฌ{AA}{a} & ยฌ{AB}{a}) ; $proof$ = | fact6 -> hypothesis; __PROVED__ |
0.3 | ใพใฃใใใใจใใใใจใ่ตทใใใชใ | ยฌ{B} | fact1: ใใใใ่
น็ซใใใใจใใใใจใฏ็บ็ใใใใใใๆใๅบๆทฑใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใใใจใใใใจใๆญฃใใใชใใฐ็ดๅฑฑใซๅใใใจใฏ็บ็ใใชใ fact2: ใใใใ่ทซ้ณใจๅๆกใ่ฆๅ็ซใคใใจใ็ใใใใจใใใใจใ็ๅฎใ ใใจใใใใจใฏไบๅฎใจ็ฐใชใใฐ่ทซ้ณใ็ใใชใ fact3: ใใใใใจใใใใจใฏ่ตทใใ fact4: ใๅฟๅฟใใใจใใใใจใ็ใใชใใใพใฃใใใใจใใใใจใฏ็บ็ใใใใจใใใใจใๆญฃใใ fact5: ใใใๅฎขๆฑใใ่ตทใใใใใใใใจใใใใจใ่ตทใใใใจใใใใจใ้้ใใชใใฐๆใใใใจใใใใจใ็ใใชใ fact6: ใ็ปๅฑฑใฏ่ตทใใชใใใจใใใใจใฏใๅฟๅฟใใใจใใใใจใจใพใฃใใใใจใใใใจไธกๆนใ่ตทใใใใจใใใใจใฎๅๅ ใจใชใ fact7: ่ทซ้ณใ่ตทใใชใใจใใใใจใฏใใใใ ใใใใจใใใใจใ็ใใชใใไผดๅฅๅฒใๅบใใใใใจใฏ่ตทใใใชใใไธกๆนใ ใใจใใใใจใ็ใใใใ fact8: ใ็ปๅฑฑใฏ่ตทใใชใใๆ
ใใ ใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏใ็ดๅฑฑใซๅใใใจใฏ็ใใชใใใจใใใใจใๅๅ ใ fact9: ใใใใใใจใใใใจใฏ็บ็ใใใฐๅฐใใจใใใใจใฏ็ใใใใใใใฏๅๆใ่ตทใใใชใ fact10: ใใใใใจใฏ่ตทใใใจใใใใจใ่ชใใใจใ่ตทใใใจใใใใจใซ้ปๆญขใใใ fact11: ใๅฐใใจใใใใจใฏ็ใใใใจใใใใจใใๅๆใ็บ็ใใชใใใจใใใใจใใใใใฏไธกๆนใฏ็็ชใฃใฝใใจใใใใจใ่ตทใใใจใใใใจใๅถๆญขใใ fact12: ๅฟๅฟใใใจใใใใจใ็ใใชใ fact13: ใจใผใฏใใใใซใซ็พใใใใใจใฏ็ใใชใใจใใใใจใฏใใใ ใใใใจใใใใจใ่ตทใใใชใใจใใใใจใไผดๅฅๅฒใๅบใใใใใจใฏ็ใใชใใจใใใใจใๅๅ ใ fact14: ใญใคใใณใณใใข่ฒฉๅฃฒใใชใใใใใใใจใฏ็ใใชใใฆใใใ ใใใใจใใใใจใฏ็บ็ใใ fact15: ใใใใใใใจใฏ่ตทใใใชใใชใใฐใใใคใใจใใใใจใจใใใใจใใใใจใ็บ็ใใ fact16: ใใ็็ชใฃใฝใใจใใใใจใ็ใใชใใชใใฐใ่
น็ซใใใใจใใใใจใ่ตทใใใใใใๆใๅบๆทฑใใจใใใใจใ่ตทใใชใใใจใใใใจใฏ่ชคใใ fact17: ใใใจใผใฏใใใใซใซ็พใใใใใจใ็ใใชใใชใใฐใๅฎขๆฑใใจใใใใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ fact18: ใ่ชใใใจใฏ็ใใใๆฑๆใฏ็ใใใใจใใใใจใฏๆใใใใจใใใใจใ่ตทใใชใใจใใใใจใซ็ฑๆฅใใ fact19: ใใใซใใซใใใจใใใใจใ็ใใชใใๅทฎ็ฐใฏ่ตทใใใใจใใใใจใฏๅฟๅฟใใใจใใใใจใฏ่ตทใใใจใใใใจใซใใ็บ็ใใ fact20: ใๅฟๅฟใใใจใใใใจใฏ็ใใใใใใ็ปๅฑฑใ่ตทใใชใใใจใใใใจใใใพใฃใใใใจใใใใจใ่ตทใใใใจใใใใจใๆๆญขใใ | fact1: ยฌ({F} & ยฌ{G}) -> ยฌ{E} fact2: ยฌ({AB} & {AC}) -> ยฌ{AB} fact3: {R} fact4: (ยฌ{A} & {B}) fact5: ยฌ({Q} & {R}) -> ยฌ{P} fact6: ยฌ{C} -> ({A} & {B}) fact7: ยฌ{AB} -> (ยฌ{AA} v ยฌ{U}) fact8: ยฌ{E} -> (ยฌ{C} & ยฌ{D}) fact9: {K} -> ({I} v ยฌ{J}) fact10: {N} -> ยฌ{M} fact11: ({I} v ยฌ{J}) -> ยฌ{H} fact12: ยฌ{A} fact13: (ยฌ{AA} v ยฌ{U}) -> ยฌ{S} fact14: (ยฌ{IO} & {AA}) fact15: ยฌ{M} -> ({L} & {K}) fact16: ยฌ{H} -> ยฌ({F} & ยฌ{G}) fact17: ยฌ{S} -> ยฌ({Q} & {R}) fact18: ยฌ{P} -> ({N} & {O}) fact19: {A} -> (ยฌ{GK} & {T}) fact20: ({A} & ยฌ{C}) -> ยฌ{B} | [
"fact4 -> hypothesis;"
] | [
"fact4 -> hypothesis;"
] | ใใพใฃใใใใจใใใใจใ็บ็ใใชใใใจใใใใจใฏๆญฃใใ | ยฌ{B} | [] | 6 | 1 | 1 | 19 | 0 | 19 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใ่
น็ซใใใใจใใใใจใฏ็บ็ใใใใใใๆใๅบๆทฑใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใฏใชใใใจใใใใจใๆญฃใใใชใใฐ็ดๅฑฑใซๅใใใจใฏ็บ็ใใชใ fact2: ใใใใ่ทซ้ณใจๅๆกใ่ฆๅ็ซใคใใจใ็ใใใใจใใใใจใ็ๅฎใ ใใจใใใใจใฏไบๅฎใจ็ฐใชใใฐ่ทซ้ณใ็ใใชใ fact3: ใใใใใจใใใใจใฏ่ตทใใ fact4: ใๅฟๅฟใใใจใใใใจใ็ใใชใใใพใฃใใใใจใใใใจใฏ็บ็ใใใใจใใใใจใๆญฃใใ fact5: ใใใๅฎขๆฑใใ่ตทใใใใใใใใจใใใใจใ่ตทใใใใจใใใใจใ้้ใใชใใฐๆใใใใจใใใใจใ็ใใชใ fact6: ใ็ปๅฑฑใฏ่ตทใใชใใใจใใใใจใฏใๅฟๅฟใใใจใใใใจใจใพใฃใใใใจใใใใจไธกๆนใ่ตทใใใใจใใใใจใฎๅๅ ใจใชใ fact7: ่ทซ้ณใ่ตทใใชใใจใใใใจใฏใใใใ ใใใใจใใใใจใ็ใใชใใไผดๅฅๅฒใๅบใใใใใจใฏ่ตทใใใชใใไธกๆนใ ใใจใใใใจใ็ใใใใ fact8: ใ็ปๅฑฑใฏ่ตทใใชใใๆ
ใใ ใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏใ็ดๅฑฑใซๅใใใจใฏ็ใใชใใใจใใใใจใๅๅ ใ fact9: ใใใใใใจใใใใจใฏ็บ็ใใใฐๅฐใใจใใใใจใฏ็ใใใใใใใฏๅๆใ่ตทใใใชใ fact10: ใใใใใจใฏ่ตทใใใจใใใใจใ่ชใใใจใ่ตทใใใจใใใใจใซ้ปๆญขใใใ fact11: ใๅฐใใจใใใใจใฏ็ใใใใจใใใใจใใๅๆใ็บ็ใใชใใใจใใใใจใใใใใฏไธกๆนใฏ็็ชใฃใฝใใจใใใใจใ่ตทใใใจใใใใจใๅถๆญขใใ fact12: ๅฟๅฟใใใจใใใใจใ็ใใชใ fact13: ใจใผใฏใใใใซใซ็พใใใใใจใฏ็ใใชใใจใใใใจใฏใใใ ใใใใจใใใใจใ่ตทใใใชใใจใใใใจใไผดๅฅๅฒใๅบใใใใใจใฏ็ใใชใใจใใใใจใๅๅ ใ fact14: ใญใคใใณใณใใข่ฒฉๅฃฒใใชใใใใใใใจใฏ็ใใชใใฆใใใ ใใใใจใใใใจใฏ็บ็ใใ fact15: ใใใใใใใจใฏ่ตทใใใชใใชใใฐใใใคใใจใใใใจใจใใใใจใใใใจใ็บ็ใใ fact16: ใใ็็ชใฃใฝใใจใใใใจใ็ใใชใใชใใฐใ่
น็ซใใใใจใใใใจใ่ตทใใใใใใๆใๅบๆทฑใใจใใใใจใ่ตทใใชใใใจใใใใจใฏ่ชคใใ fact17: ใใใจใผใฏใใใใซใซ็พใใใใใจใ็ใใชใใชใใฐใๅฎขๆฑใใจใใใใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ fact18: ใ่ชใใใจใฏ็ใใใๆฑๆใฏ็ใใใใจใใใใจใฏๆใใใใจใใใใจใ่ตทใใชใใจใใใใจใซ็ฑๆฅใใ fact19: ใใใซใใซใใใจใใใใจใ็ใใชใใๅทฎ็ฐใฏ่ตทใใใใจใใใใจใฏๅฟๅฟใใใจใใใใจใฏ่ตทใใใจใใใใจใซใใ็บ็ใใ fact20: ใๅฟๅฟใใใจใใใใจใฏ็ใใใใใใ็ปๅฑฑใ่ตทใใชใใใจใใใใจใใใพใฃใใใใจใใใใจใ่ตทใใใใจใใใใจใๆๆญขใใ ; $hypothesis$ = ใพใฃใใใใจใใใใจใ่ตทใใใชใ ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ({F} & ยฌ{G}) -> ยฌ{E} fact2: ยฌ({AB} & {AC}) -> ยฌ{AB} fact3: {R} fact4: (ยฌ{A} & {B}) fact5: ยฌ({Q} & {R}) -> ยฌ{P} fact6: ยฌ{C} -> ({A} & {B}) fact7: ยฌ{AB} -> (ยฌ{AA} v ยฌ{U}) fact8: ยฌ{E} -> (ยฌ{C} & ยฌ{D}) fact9: {K} -> ({I} v ยฌ{J}) fact10: {N} -> ยฌ{M} fact11: ({I} v ยฌ{J}) -> ยฌ{H} fact12: ยฌ{A} fact13: (ยฌ{AA} v ยฌ{U}) -> ยฌ{S} fact14: (ยฌ{IO} & {AA}) fact15: ยฌ{M} -> ({L} & {K}) fact16: ยฌ{H} -> ยฌ({F} & ยฌ{G}) fact17: ยฌ{S} -> ยฌ({Q} & {R}) fact18: ยฌ{P} -> ({N} & {O}) fact19: {A} -> (ยฌ{GK} & {T}) fact20: ({A} & ยฌ{C}) -> ยฌ{B} ; $hypothesis$ = ยฌ{B} ; $proof$ = | fact4 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใใชใใใจใใใใจใฏ็บ็ใใ | {B} | fact1: ใใใๅไธใซ้ปใใใใจใจๅ่จดใซ็พฝ็นใใใจไธกๆนใฏ็บ็ใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใชใใฐใใใใฏใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใฏๆใ็ซใค fact2: ใใใ้ใใจใใใใจใ็ใใชใใๆจๆปๅญใซ้ใใใใจใ็ใใชใใใจใใใใจใฏๅใ ใจใใใใจใฏใชใใชใใฐๆจๆปๅญใซ้ใใใใจใ่ตทใใชใ fact3: ๅน่ดใๅคชใใใจใฏ็บ็ใใ fact4: ใใใไธญๆตทๅนฒๆๅฐใใใๆฉใใใจใฏ่ตทใใใชใใใใใใฏใใใใใจใ่ตทใใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใชใใฐๅฑฑ็ไธธใซใ่ฝใจใใใใจใ็ใใ fact5: ใๅไธใซ้ปใใใใจใจๅ่จดใซ็พฝ็นใใใจไธกๆนใ่ตทใใใใจใใใใจใๅฝใ fact6: ใใใใจใใใใใใจใใใใจใ่ตทใใใชใใชใใฐใๆฎดใ่พผใฟใงใฏใชใๅ
ฑๆ ้ป่ณใใใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใ fact7: ใใ็ๆฎบใใฏ่ตทใใชใใชใใฐใกใใใใจใใใใจใ่ตทใใใๆฐๆดใใฏ็บ็ใใ fact8: ใใๆณขๆตชใฏ็ใใชใใชใใฐใใใฎใใชใใใจใใใใจใฏ่ตทใใชใใๅบง่พผใฟใ็บ็ใใชใใใจใใใใจใฏ่ชคใใ fact9: ใ็ๆฎบใใ่ตทใใใชใใใจใใใใจใฏใใใใฏใใใใใจใใใใจใฏ่ตทใใชใใๅฑฑ็ไธธใซใ่ฝใจใใใใจใ็ใใใใจใใใใจใซ่ตทๅ ใใ fact10: ใใใๆฎดใ่พผใฟใฏ็บ็ใใชใใใใใๅ
ฑๆ ้ป่ณใใใใใจใใใใจใ่ตทใใใใจใใใใจใๆใ็ซใใชใใชใใฐๆณขๆตชใ่ตทใใชใ fact11: ใใจใใใใใใจใใใใจใงใฏใชใใใใใจใใใใจใฏ่ตทใใ fact12: ใใใใใฎใใชใใใจใใใใจใ็ใใชใใๅบง่พผใฟใ็บ็ใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใชใใฐๅบง่พผใฟใ่ตทใใ fact13: ใใใกใใใใจใใใใจใฏ่ตทใใใฐ้ใใจใใใใจใ่ตทใใใชใใใใใใขใคใทใณใฐใฏ็บ็ใใ fact14: ใใๆจๆปๅญใซ้ใใใใจใฏ็บ็ใใชใใชใใฐ้้ปใใจใใใใจใจๅน่ดใๅคชใใใจใ่ตทใใ | fact1: ยฌ({P} & {Q}) -> ยฌ{O} fact2: (ยฌ{F} v ยฌ{C}) -> ยฌ{C} fact3: {A} fact4: ยฌ(ยฌ{R} v {S}) -> {N} fact5: ยฌ({P} & {Q}) fact6: ยฌ{H} -> ยฌ(ยฌ{G} & {E}) fact7: ยฌ{M} -> ({K} & {L}) fact8: ยฌ{D} -> ยฌ(ยฌ{B} & ยฌ{BS}) fact9: (ยฌ{O} & {N}) -> ยฌ{M} fact10: ยฌ(ยฌ{G} & {E}) -> ยฌ{D} fact11: (ยฌ{H} & {I}) fact12: ยฌ(ยฌ{B} & ยฌ{BS}) -> {BS} fact13: {K} -> (ยฌ{F} & {J}) fact14: ยฌ{C} -> ({HC} & {A}) | [] | [] | ๅบง่พผใฟใจ้้ปใใจใใใใจใ็ใใ | ({BS} & {HC}) | [
"fact19 -> int1: ใใจใใใใใใจใใใใจใ็ใใชใ; fact21 & int1 -> int2: ใๆฎดใ่พผใฟใงใฏใชใๅ
ฑๆ ้ป่ณใใใใใจใใใใจใฏ่ตทใใใใจใใใใจใ่ชคใใ ; fact18 & int2 -> int3: ๆณขๆตชใฏ็ใใชใ; fact27 & int3 -> int4: ใใใฎใใชใใใจใใใใจใ็ใใชใใฆๅบง่พผใฟใฏ่ตทใใใชใใใจใใใใจใฏ่ชคใใ ; fact15 & int4 -> int5: ๅบง่พผใฟใ่ตทใใ; fact25 & fact22 -> int6: ใใใฏใใใใใจใใใใจใ่ตทใใใชใ;"
] | 12 | 1 | null | 14 | 0 | 14 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใๅไธใซ้ปใใใใจใจๅ่จดใซ็พฝ็นใใใจไธกๆนใฏ็บ็ใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใชใใฐใใใใฏใใใใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใฏๆใ็ซใค fact2: ใใใ้ใใจใใใใจใ็ใใชใใๆจๆปๅญใซ้ใใใใจใ็ใใชใใใจใใใใจใฏๅใ ใจใใใใจใฏใชใใชใใฐๆจๆปๅญใซ้ใใใใจใ่ตทใใชใ fact3: ๅน่ดใๅคชใใใจใฏ็บ็ใใ fact4: ใใใไธญๆตทๅนฒๆๅฐใใใๆฉใใใจใฏ่ตทใใใชใใใใใใฏใใใใใจใ่ตทใใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใใชใใฐๅฑฑ็ไธธใซใ่ฝใจใใใใจใ็ใใ fact5: ใๅไธใซ้ปใใใใจใจๅ่จดใซ็พฝ็นใใใจไธกๆนใ่ตทใใใใจใใใใจใๅฝใ fact6: ใใใใจใใใใใใจใใใใจใ่ตทใใใชใใชใใฐใๆฎดใ่พผใฟใงใฏใชใๅ
ฑๆ ้ป่ณใใใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใ fact7: ใใ็ๆฎบใใฏ่ตทใใชใใชใใฐใกใใใใจใใใใจใ่ตทใใใๆฐๆดใใฏ็บ็ใใ fact8: ใใๆณขๆตชใฏ็ใใชใใชใใฐใใใฎใใชใใใจใใใใจใฏ่ตทใใชใใๅบง่พผใฟใ็บ็ใใชใใใจใใใใจใฏ่ชคใใ fact9: ใ็ๆฎบใใ่ตทใใใชใใใจใใใใจใฏใใใใฏใใใใใจใใใใจใฏ่ตทใใชใใๅฑฑ็ไธธใซใ่ฝใจใใใใจใ็ใใใใจใใใใจใซ่ตทๅ ใใ fact10: ใใใๆฎดใ่พผใฟใฏ็บ็ใใชใใใใใๅ
ฑๆ ้ป่ณใใใใใจใใใใจใ่ตทใใใใจใใใใจใๆใ็ซใใชใใชใใฐๆณขๆตชใ่ตทใใชใ fact11: ใใจใใใใใใจใใใใจใงใฏใชใใใใใจใใใใจใฏ่ตทใใ fact12: ใใใใใฎใใชใใใจใใใใจใ็ใใชใใๅบง่พผใฟใ็บ็ใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใชใใฐๅบง่พผใฟใ่ตทใใ fact13: ใใใกใใใใจใใใใจใฏ่ตทใใใฐ้ใใจใใใใจใ่ตทใใใชใใใใใใขใคใทใณใฐใฏ็บ็ใใ fact14: ใใๆจๆปๅญใซ้ใใใใจใฏ็บ็ใใชใใชใใฐ้้ปใใจใใใใจใจๅน่ดใๅคชใใใจใ่ตทใใ ; $hypothesis$ = ใใฎใใชใใใจใใใใจใฏ็บ็ใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ({P} & {Q}) -> ยฌ{O} fact2: (ยฌ{F} v ยฌ{C}) -> ยฌ{C} fact3: {A} fact4: ยฌ(ยฌ{R} v {S}) -> {N} fact5: ยฌ({P} & {Q}) fact6: ยฌ{H} -> ยฌ(ยฌ{G} & {E}) fact7: ยฌ{M} -> ({K} & {L}) fact8: ยฌ{D} -> ยฌ(ยฌ{B} & ยฌ{BS}) fact9: (ยฌ{O} & {N}) -> ยฌ{M} fact10: ยฌ(ยฌ{G} & {E}) -> ยฌ{D} fact11: (ยฌ{H} & {I}) fact12: ยฌ(ยฌ{B} & ยฌ{BS}) -> {BS} fact13: {K} -> (ยฌ{F} & {J}) fact14: ยฌ{C} -> ({HC} & {A}) ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใ่จใใฏใใ็ซใคใใจใ่ตทใใใชใใใใใใฏใใฎๅฏใใใจใใใใจใ่ตทใใใไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใ | ยฌ(ยฌ{A} v {B}) | fact1: ใใใ็ฉ็ใใใจใใใใจใ็บ็ใใชใใใจใใใใจใฏๆญฃใใใชใใฐใไธๅใฏ่ตทใใใๅฟ้
ใ็บ็ใใใใจใใใใจใฏๅใ fact2: ใใใๅค็ฌใซใใใจใใใใใจใจใใฆใใใจใฏ็บ็ใใใใจใใใใจใๅใชใใฐๅค็ฌใซใใใจใใใใใจใฏ็ใใชใ fact3: ใใใไธๅใจๅฟ้
ใฏ่ตทใใใใจใใใใจใ่ชคใใชใใฐ็ท็ถใซๆฌใใใใจใฏ่ตทใใใชใ fact4: ใๆฑๆฌ้กๅฏบใซ็ณใ่ใใใใจใฏ็บ็ใใชใใๆถใใใใจใฏ่ตทใใใชใใใจใใใใจใฏใ็ฌใๅ ใใ่ตทใใใใจใใใใจใซใใ็ใใ fact5: ใใใขใใใจใใใใจใฏ่ตทใใชใใฆๆผใไปใใใพใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏใใจใพใใใจใใใใจใฏ่ตทใใใจใใใใจใซ็ฑๆฅใใ fact6: ใใใๆตธ็คผใ็บ็ใใใๅฝน่ทใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใชใใฐๆตธ็คผใฏ็ใใชใ fact7: ใใๅคๆญปใ็ใใชใใชใใฐ็ฉ็ใใใจใใใใจใฏ่ตทใใชใใฆๆใใใจใ่ตทใใชใ fact8: ใใๆตธ็คผใ่ตทใใชใใชใใฐใใใ่จใใฏใใ็ซใคใใจใฏ็ใใชใใใใใใฏใใฎๅฏใใใจใใใใจใฏ่ตทใใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact9: ใใใใใพใใใใใจใใใใจใฏ็ใใใใใใๆธ
ใใใจใใใใจใ็บ็ใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐๅคๆญปใฏ่ตทใใชใ fact10: ใใใ็ท็ถใซๆฌใใใใจใฏ่ตทใใชใใชใใฐใๆตธ็คผใ็บ็ใใใๅฝน่ทใ็บ็ใใใใจใใใใจใ้้ใใ ใใจใใใใจใไบๅฎใ fact11: ใใๆฑๆฌ้กๅฏบใซ็ณใ่ใใใใจใ่ตทใใใชใใชใใฐไฝๆใฏ่ตทใใใใใจใพใใใจใใใใจใ็บ็ใใ fact12: ใใใใขใใใจใใใใจใ็บ็ใใชใใชใใฐใๅค็ฌใซใใใจใใใใใจใจใใฆใใใจใ่ตทใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact13: ใใๅค็ฌใซใใใจใใใใใจใฏ่ตทใใชใใชใใฐใใใใพใใใใใจใใใใจใ่ตทใใใๆธ
ใใใจใใใใจใ่ตทใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใใจใใใใจใฏๆใ็ซใค | fact1: ยฌ{H} -> ยฌ({F} & {G}) fact2: ยฌ({M} & {O}) -> ยฌ{M} fact3: ยฌ({F} & {G}) -> ยฌ{E} fact4: {U} -> (ยฌ{S} & ยฌ{T}) fact5: {Q} -> (ยฌ{N} & ยฌ{P}) fact6: ยฌ({C} & {D}) -> ยฌ{C} fact7: ยฌ{J} -> (ยฌ{H} & ยฌ{I}) fact8: ยฌ{C} -> ยฌ(ยฌ{A} v {B}) fact9: ยฌ({L} & ยฌ{K}) -> ยฌ{J} fact10: ยฌ{E} -> ยฌ({C} & {D}) fact11: ยฌ{S} -> ({R} & {Q}) fact12: ยฌ{N} -> ยฌ({M} & {O}) fact13: ยฌ{M} -> ยฌ({L} & ยฌ{K}) | [] | [] | ใใใใ่จใใฏใใ็ซใคใใจใ่ตทใใชใใใใฎๅฏใใใจใใใใจใฏ็ใใใใใใใฏไธกๆนใ ใใจใใใใจใฏ้้ใใ ใใจใใใใจใ่ชคใใ ใจใใใใจใใชใ | ยฌ(ยฌ{A} v {B}) | [] | 18 | 1 | null | 13 | 0 | 13 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใ็ฉ็ใใใจใใใใจใ็บ็ใใชใใใจใใใใจใฏๆญฃใใใชใใฐใไธๅใฏ่ตทใใใๅฟ้
ใ็บ็ใใใใจใใใใจใฏๅใ fact2: ใใใๅค็ฌใซใใใจใใใใใจใจใใฆใใใจใฏ็บ็ใใใใจใใใใจใๅใชใใฐๅค็ฌใซใใใจใใใใใจใฏ็ใใชใ fact3: ใใใไธๅใจๅฟ้
ใฏ่ตทใใใใจใใใใจใ่ชคใใชใใฐ็ท็ถใซๆฌใใใใจใฏ่ตทใใใชใ fact4: ใๆฑๆฌ้กๅฏบใซ็ณใ่ใใใใจใฏ็บ็ใใชใใๆถใใใใจใฏ่ตทใใใชใใใจใใใใจใฏใ็ฌใๅ ใใ่ตทใใใใจใใใใจใซใใ็ใใ fact5: ใใใขใใใจใใใใจใฏ่ตทใใชใใฆๆผใไปใใใพใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏใใจใพใใใจใใใใจใฏ่ตทใใใจใใใใจใซ็ฑๆฅใใ fact6: ใใใๆตธ็คผใ็บ็ใใใๅฝน่ทใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใชใใฐๆตธ็คผใฏ็ใใชใ fact7: ใใๅคๆญปใ็ใใชใใชใใฐ็ฉ็ใใใจใใใใจใฏ่ตทใใชใใฆๆใใใจใ่ตทใใชใ fact8: ใใๆตธ็คผใ่ตทใใชใใชใใฐใใใ่จใใฏใใ็ซใคใใจใฏ็ใใชใใใใใใฏใใฎๅฏใใใจใใใใจใฏ่ตทใใใใใใใฏไธกๆนใ ใใจใใใใจใๆใ็ซใใชใ fact9: ใใใใใพใใใใใจใใใใจใฏ็ใใใใใใๆธ
ใใใจใใใใจใ็บ็ใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐๅคๆญปใฏ่ตทใใชใ fact10: ใใใ็ท็ถใซๆฌใใใใจใฏ่ตทใใชใใชใใฐใๆตธ็คผใ็บ็ใใใๅฝน่ทใ็บ็ใใใใจใใใใจใ้้ใใ ใใจใใใใจใไบๅฎใ fact11: ใใๆฑๆฌ้กๅฏบใซ็ณใ่ใใใใจใ่ตทใใใชใใชใใฐไฝๆใฏ่ตทใใใใใจใพใใใจใใใใจใ็บ็ใใ fact12: ใใใใขใใใจใใใใจใ็บ็ใใชใใชใใฐใๅค็ฌใซใใใจใใใใใจใจใใฆใใใจใ่ตทใใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact13: ใใๅค็ฌใซใใใจใใใใใจใฏ่ตทใใชใใชใใฐใใใใพใใใใใจใใใใจใ่ตทใใใๆธ
ใใใจใใใใจใ่ตทใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใใ่จใใฏใใ็ซใคใใจใ่ตทใใใชใใใใใใฏใใฎๅฏใใใจใใใใจใ่ตทใใใไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{H} -> ยฌ({F} & {G}) fact2: ยฌ({M} & {O}) -> ยฌ{M} fact3: ยฌ({F} & {G}) -> ยฌ{E} fact4: {U} -> (ยฌ{S} & ยฌ{T}) fact5: {Q} -> (ยฌ{N} & ยฌ{P}) fact6: ยฌ({C} & {D}) -> ยฌ{C} fact7: ยฌ{J} -> (ยฌ{H} & ยฌ{I}) fact8: ยฌ{C} -> ยฌ(ยฌ{A} v {B}) fact9: ยฌ({L} & ยฌ{K}) -> ยฌ{J} fact10: ยฌ{E} -> ยฌ({C} & {D}) fact11: ยฌ{S} -> ({R} & {Q}) fact12: ยฌ{N} -> ยฌ({M} & {O}) fact13: ยฌ{M} -> ยฌ({L} & ยฌ{K}) ; $hypothesis$ = ยฌ(ยฌ{A} v {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎๅใฏๆ
ใพใใใชใใฆ่ณใ
ใใใชใใใจใใใใจใๆใ็ซใใชใ | ยฌ(ยฌ{AA}{a} & ยฌ{AB}{a}) | fact1: ใใใใฎๅใใฏๅฟใใใใชใใชใใฐใใใฎๅใฏๆฏ้ทใซใใใใใจใใใใจใฏใชใใใใใใใใชใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใใใใใใฎใๆ
ใพใใใจใใใใจใฏใชใใ่ณใ
ใใใจใใใใจใใชใ fact3: ใใใใฎใใใณใฏๅตใ่พผใใจใใใใจใฏใชใใชใใฐใใใฎๅใใๅฟใใใใใฎใงใใฃใฆ็ฝๅฑฑๆตฆใซใใใใใใใใฎใใจใใใใจใฏ่ชคใใ fact4: ใใใไฝใใฏๅฟใใใใฆ็ฝๅฑฑๆตฆใซใใใใใใใใจใใใใจใฏๅฝใชใใฐใใใฏๅฟใใใใจใใใใจใใชใ fact5: ใใใใใใฎๅใใๅฟใใใใจใใใใจใใชใใใฎใงใใฃใฆใใใใใใชใใใฎใใจใใใใจใฏ้้ใใชใใฐใใฎๅใฏใใใใใใใจใใใใจใไบๅฎใ fact6: ใใไฝใใฏใใใใใใชใใฐใใใใฏใคใในๅทใใใใใใใจใใใใจใฏใชใใฆใใใฏๆ
ใพใใใจใใใใจใฏใชใใใจใใใใจใ่ชคใใ fact7: ใใไฝใใฏใใๅฅฝใใชใใชใใฐใใใใฏใใใฐใใจใใใใจใฏใชใใฆใใใไธๆขจ้ฟใ ใจใใใใจใฏใชใใใจใใใใจใฏๆฌๅฝใ ใจใใใใจใใชใ fact8: ใใใใฎใใใณใฏๆฏ้ทใซใใใใใฐใใใฎๅใใฏๅฟใใใใชใใฆใใใใใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact9: ใใใใใฎ็ดๅใใใใฐใใจใใใใจใฏใชใใฆใใใไธๆขจ้ฟใงใชใใใจใใใใจใ้้ใใชใใฐใใฎใใใณใๅตใ่พผใใจใใใใจใใชใ fact10: ใใฎๅใใใใใใใจใใใใจใใชใ | fact1: ยฌ{C}{b} -> ยฌ(ยฌ{B}{a} & ยฌ{A}{a}) fact2: (x): {A}x -> (ยฌ{AA}x & ยฌ{AB}x) fact3: ยฌ{D}{c} -> ยฌ({C}{b} & {E}{b}) fact4: (x): ยฌ({C}x & {E}x) -> ยฌ{C}x fact5: ยฌ(ยฌ{C}{b} & ยฌ{A}{b}) -> {A}{a} fact6: (x): {A}x -> ยฌ(ยฌ{EM}x & ยฌ{AA}x) fact7: (x): {H}x -> ยฌ(ยฌ{G}x & ยฌ{F}x) fact8: {B}{c} -> ยฌ(ยฌ{C}{b} & ยฌ{A}{b}) fact9: ยฌ(ยฌ{G}{d} & ยฌ{F}{d}) -> ยฌ{D}{c} fact10: ยฌ{A}{a} | [] | [] | ใใใฎใใทใใใใคใในๅทใใใใใใชใใใใใๆ
ใพใใใจใใใใจใฏใชใใใจใใใใจใฏๅฝใ | ยฌ(ยฌ{EM}{p} & ยฌ{AA}{p}) | [
"fact13 -> int1: ใใใใฎใใทใใใฏใใใใใใชใใฐใใใใใคใในๅทใใใใใใใจใใใใจใฏใชใใๆ
ใพใใใจใใใใจใฏใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ; fact16 -> int2: ใใใใใฎๅใใฏๅฟใใใใฆ็ฝๅฑฑๆตฆใซใใใใใใใใจใใใใจใไบๅฎใจ็ฐใชใใฐใใใฏๅฟใใใใชใ; fact12 -> int3: ใใใใฎ็ดๅใฏใใๅฅฝใใชใใชใใฐใใใใใใใฐใใชใใใใใฏไธๆขจ้ฟใงใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใใชใ;"
] | 9 | 1 | null | 9 | 0 | 9 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใฎๅใใฏๅฟใใใใชใใชใใฐใใใฎๅใฏๆฏ้ทใซใใใใใจใใใใจใฏใชใใใใใใใใชใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใใใใใใฎใๆ
ใพใใใจใใใใจใฏใชใใ่ณใ
ใใใจใใใใจใใชใ fact3: ใใใใฎใใใณใฏๅตใ่พผใใจใใใใจใฏใชใใชใใฐใใใฎๅใใๅฟใใใใใฎใงใใฃใฆ็ฝๅฑฑๆตฆใซใใใใใใใใฎใใจใใใใจใฏ่ชคใใ fact4: ใใใไฝใใฏๅฟใใใใฆ็ฝๅฑฑๆตฆใซใใใใใใใใจใใใใจใฏๅฝใชใใฐใใใฏๅฟใใใใจใใใใจใใชใ fact5: ใใใใใใฎๅใใๅฟใใใใจใใใใจใใชใใใฎใงใใฃใฆใใใใใใชใใใฎใใจใใใใจใฏ้้ใใชใใฐใใฎๅใฏใใใใใใใจใใใใจใไบๅฎใ fact6: ใใไฝใใฏใใใใใใชใใฐใใใใฏใคใในๅทใใใใใใใจใใใใจใฏใชใใฆใใใฏๆ
ใพใใใจใใใใจใฏใชใใใจใใใใจใ่ชคใใ fact7: ใใไฝใใฏใใๅฅฝใใชใใชใใฐใใใใฏใใใฐใใจใใใใจใฏใชใใฆใใใไธๆขจ้ฟใ ใจใใใใจใฏใชใใใจใใใใจใฏๆฌๅฝใ ใจใใใใจใใชใ fact8: ใใใใฎใใใณใฏๆฏ้ทใซใใใใใฐใใใฎๅใใฏๅฟใใใใชใใฆใใใใใใชใใใจใใใใจใๆใ็ซใคใจใใใใจใใชใ fact9: ใใใใใฎ็ดๅใใใใฐใใจใใใใจใฏใชใใฆใใใไธๆขจ้ฟใงใชใใใจใใใใจใ้้ใใชใใฐใใฎใใใณใๅตใ่พผใใจใใใใจใใชใ fact10: ใใฎๅใใใใใใใจใใใใจใใชใ ; $hypothesis$ = ใใใฎๅใฏๆ
ใพใใใชใใฆ่ณใ
ใใใชใใใจใใใใจใๆใ็ซใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{C}{b} -> ยฌ(ยฌ{B}{a} & ยฌ{A}{a}) fact2: (x): {A}x -> (ยฌ{AA}x & ยฌ{AB}x) fact3: ยฌ{D}{c} -> ยฌ({C}{b} & {E}{b}) fact4: (x): ยฌ({C}x & {E}x) -> ยฌ{C}x fact5: ยฌ(ยฌ{C}{b} & ยฌ{A}{b}) -> {A}{a} fact6: (x): {A}x -> ยฌ(ยฌ{EM}x & ยฌ{AA}x) fact7: (x): {H}x -> ยฌ(ยฌ{G}x & ยฌ{F}x) fact8: {B}{c} -> ยฌ(ยฌ{C}{b} & ยฌ{A}{b}) fact9: ยฌ(ยฌ{G}{d} & ยฌ{F}{d}) -> ยฌ{D}{c} fact10: ยฌ{A}{a} ; $hypothesis$ = ยฌ(ยฌ{AA}{a} & ยฌ{AB}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ็ฒใใจใใใใจใฏ่ตทใใใชใ | ยฌ{A} | fact1: ็ฒใใจใใใใจใฏ่ตทใใ | fact1: {A} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 0 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ็ฒใใจใใใใจใฏ่ตทใใ ; $hypothesis$ = ็ฒใใจใใใใจใฏ่ตทใใใชใ ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} ; $hypothesis$ = ยฌ{A} ; $proof$ = | fact1 -> hypothesis; __DISPROVED__ |
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