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0.3 | ใใฎใฝใฎใฝใLv.8ใฏๆฑใใใใจใใใใจใฏใชใ | ยฌ{B}{a} | fact1: ใใใใขใณในใฟใผใฏๆปใๆใใใใใๅบใใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใใชใใชใ fact2: ใใไปฎใซใใใฎใฝใฎใฝใLv.8ใฏๅพใๆใใชใใใใพใใซๆช็ทดใใพใใใชใใใจใใใใจใฏไบๅฎใงใใใจใใใฐใใฎใฝใฎใฝใLv.8ใฏๆฑใใใ fact3: ใใไปฎใซใใฎใฝใฎใฝใLv.8ใๆธ
ใใชใใจใใใจใใฎใฝใฎใฝใLv.8ใฏๅพใๆใใชใใๆดใซๆช็ทดใใพใใใชใ fact4: ใใใใใฎใฟใใฟใLv.12ใใใใชใใชใใชใใฐใใฎใฝใฎใฝใLv.8ใฏๆธ
ใใใฉๆฑใใใใชใ fact5: ใใฎใฝใฎใฝใLv.8ใฏๆธ
ใใชใ fact6: ใใฎใฝใใฝใชLv.42ใฏๅพใๆใ fact7: ใใใไฝใใใฎใขใณในใฟใผใฏๅคงไบบๆฐ็กใใจใใใใๆปใๆใใๅบใใใจใใใใจใฏใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact8: ใใไปฎใซใใฎใพใกใใพใฎLv.56ใฏๆขใๆใใชใใจใใใจใใใใฏ่บซ่ซใใใชใใฆๆดใซๅคงไบบๆฐ็กใใจใใใใจใฏใชใใใจใใใใจใฏๆญฃใใ | fact1: (x): ยฌ({D}x & ยฌ{E}x) -> ยฌ{C}x fact2: (ยฌ{AA}{a} & ยฌ{AB}{a}) -> {B}{a} fact3: ยฌ{A}{a} -> (ยฌ{AA}{a} & ยฌ{AB}{a}) fact4: ยฌ{C}{b} -> ({A}{a} & ยฌ{B}{a}) fact5: ยฌ{A}{a} fact6: {AA}{ck} fact7: (x): {F}x -> ยฌ({D}x & ยฌ{E}x) fact8: ยฌ{G}{c} -> (ยฌ{H}{c} & ยฌ{F}{c}) | [
"fact3 & fact5 -> int1: ใใฎใฝใฎใฝใLv.8ใฏๅพใๆใใชใใใใใๆช็ทดใใพใใใชใ; int1 & fact2 -> hypothesis;"
] | [
"fact3 & fact5 -> int1: (ยฌ{AA}{a} & ยฌ{AB}{a}); int1 & fact2 -> hypothesis;"
] | ใใฎใฝใฎใฝใLv.8ใฏๆฑใใใใจใใใใจใฏใชใ | ยฌ{B}{a} | [
"fact12 -> int2: ไปฎใซใใใฎใฟใใฟใLv.12ใฏๆปใๆใใใใใฏๅบใใใชใใใจใใใใจใฏๆญฃใใใชใใชใใฐใใใฏใใใชใใชใ; fact11 -> int3: ไปฎใซใใฎใฟใใฟใLv.12ใฏๅคงไบบๆฐ็กใใชใใฐใๆปใๆใใใฉๅบใใใชใใใจใใใใจใฏ้้ใใงใใ;"
] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใขใณในใฟใผใฏๆปใๆใใใใใๅบใใใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใใชใใชใ fact2: ใใไปฎใซใใใฎใฝใฎใฝใLv.8ใฏๅพใๆใใชใใใใพใใซๆช็ทดใใพใใใชใใใจใใใใจใฏไบๅฎใงใใใจใใใฐใใฎใฝใฎใฝใLv.8ใฏๆฑใใใ fact3: ใใไปฎใซใใฎใฝใฎใฝใLv.8ใๆธ
ใใชใใจใใใจใใฎใฝใฎใฝใLv.8ใฏๅพใๆใใชใใๆดใซๆช็ทดใใพใใใชใ fact4: ใใใใใฎใฟใใฟใLv.12ใใใใชใใชใใชใใฐใใฎใฝใฎใฝใLv.8ใฏๆธ
ใใใฉๆฑใใใใชใ fact5: ใใฎใฝใฎใฝใLv.8ใฏๆธ
ใใชใ fact6: ใใฎใฝใใฝใชLv.42ใฏๅพใๆใ fact7: ใใใไฝใใใฎใขใณในใฟใผใฏๅคงไบบๆฐ็กใใจใใใใๆปใๆใใๅบใใใจใใใใจใฏใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact8: ใใไปฎใซใใฎใพใกใใพใฎLv.56ใฏๆขใๆใใชใใจใใใจใใใใฏ่บซ่ซใใใชใใฆๆดใซๅคงไบบๆฐ็กใใจใใใใจใฏใชใใใจใใใใจใฏๆญฃใใ ; $hypothesis$ = ใใฎใฝใฎใฝใLv.8ใฏๆฑใใใใจใใใใจใฏใชใ ; $proof$ = | fact3 & fact5 -> int1: ใใฎใฝใฎใฝใLv.8ใฏๅพใๆใใชใใใใใๆช็ทดใใพใใใชใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ({D}x & ยฌ{E}x) -> ยฌ{C}x fact2: (ยฌ{AA}{a} & ยฌ{AB}{a}) -> {B}{a} fact3: ยฌ{A}{a} -> (ยฌ{AA}{a} & ยฌ{AB}{a}) fact4: ยฌ{C}{b} -> ({A}{a} & ยฌ{B}{a}) fact5: ยฌ{A}{a} fact6: {AA}{ck} fact7: (x): {F}x -> ยฌ({D}x & ยฌ{E}x) fact8: ยฌ{G}{c} -> (ยฌ{H}{c} & ยฌ{F}{c}) ; $hypothesis$ = ยฌ{B}{a} ; $proof$ = | fact3 & fact5 -> int1: (ยฌ{AA}{a} & ยฌ{AB}{a}); int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใใฎใทใใทใฎLv.40ใฏๆใก่ถใใใใใใฏๅๅ ใๆใใชใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ({C}{a} v ยฌ{D}{a}) | fact1: ใใใใฎใทใใทใฎLv.40ใ็ถๆ
็ถญๆใใใชใใใฎใทใใทใฎLv.40ใฏๆใก่ถใใใใใใฏใใใฏๅๅ ใๆใใชใใไธกๆนใ fact2: ใใใใใขใณในใฟใผใฏๆธฉใใจใใใใจใฏใชใ fact3: ใใฎใฟใฎใฟใLv.69ใฏๆต็จๅบๆฅใใ็ฆใพใใ fact4: ใใฎใทใใทใฎLv.40ใฏๅฟๅชใใใฆ็ถๆ
็ถญๆใใ | fact1: {B}{a} -> ({C}{a} v ยฌ{D}{a}) fact2: (x): ยฌ{E}x fact3: ({K}{p} & {GA}{p}) fact4: ({A}{a} & {B}{a}) | [
"fact4 -> int1: ใใฎใทใใทใฎLv.40ใฏ็ถๆ
็ถญๆใใ; int1 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {B}{a}; int1 & fact1 -> hypothesis;"
] | ใใใฎใทใใทใฎLv.40ใฏๆใก่ถใใใใใใฏๅๅ ใๆใใชใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ({C}{a} v ยฌ{D}{a}) | [
"fact5 -> int2: ใใฎใฟใใฟใกใLv.46ใฏๆธฉใใชใ;"
] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใฎใทใใทใฎLv.40ใ็ถๆ
็ถญๆใใใชใใใฎใทใใทใฎLv.40ใฏๆใก่ถใใใใใใฏใใใฏๅๅ ใๆใใชใใไธกๆนใ fact2: ใใใใใขใณในใฟใผใฏๆธฉใใจใใใใจใฏใชใ fact3: ใใฎใฟใฎใฟใLv.69ใฏๆต็จๅบๆฅใใ็ฆใพใใ fact4: ใใฎใทใใทใฎLv.40ใฏๅฟๅชใใใฆ็ถๆ
็ถญๆใใ ; $hypothesis$ = ใใใฎใทใใทใฎLv.40ใฏๆใก่ถใใใใใใฏๅๅ ใๆใใชใใใจใใใใจใฏ่ชคใฃใฆใใ ; $proof$ = | fact4 -> int1: ใใฎใทใใทใฎLv.40ใฏ็ถๆ
็ถญๆใใ; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B}{a} -> ({C}{a} v ยฌ{D}{a}) fact2: (x): ยฌ{E}x fact3: ({K}{p} & {GA}{p}) fact4: ({A}{a} & {B}{a}) ; $hypothesis$ = ยฌ({C}{a} v ยฌ{D}{a}) ; $proof$ = | fact4 -> int1: {B}{a}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใ้ใ่พผใใใจใใใณใฝใชใฝใLv.56ไบไปถใ็ใใใใจใใใใจใฏๅใ | ยฌ({A} & {B}) | fact1: ใฝใชใฝใLv.56ไบไปถใ่ตทใใ fact2: ๆธใใจใใใใจใ่ตทใใ fact3: ใใใใฝใชใฝใLv.56ไบไปถใ็บ็ใใชใใจใใใจๆททๅ
ฅใๆใใจใใใใจใฏ็บ็ใใใใใใซ้ใ่พผใใใจใ่ตทใใ fact4: ็ฒใๆใใจใใใใจใ็ใใ fact5: ้ใ่พผใใใจใ่ตทใใ fact6: ใใใใทใใทใซใLv.73ไบไปถใฏ็บ็ใใชใใจใใใจใ้ใ่พผใใใจใจใฝใชใฝใLv.56ไบไปถใ็ใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact7: ๅฃๆฑใใจใใใใจใใใณไผดใๆใใจใใใใจใ็บ็ใใ | fact1: {B} fact2: {GT} fact3: ยฌ{B} -> ({BU} & {A}) fact4: {EH} fact5: {A} fact6: ยฌ{C} -> ยฌ({A} & {B}) fact7: ({GR} & {EB}) | [
"fact5 -> int1: ้ใ่พผใใใจใ่ตทใใ; int1 & fact1 -> hypothesis;"
] | [
"fact5 -> int1: {A}; int1 & fact1 -> hypothesis;"
] | ๆททๅ
ฅใๆใใจใใใใจใ็ใใ | {BU} | [] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใฝใชใฝใLv.56ไบไปถใ่ตทใใ fact2: ๆธใใจใใใใจใ่ตทใใ fact3: ใใใใฝใชใฝใLv.56ไบไปถใ็บ็ใใชใใจใใใจๆททๅ
ฅใๆใใจใใใใจใฏ็บ็ใใใใใใซ้ใ่พผใใใจใ่ตทใใ fact4: ็ฒใๆใใจใใใใจใ็ใใ fact5: ้ใ่พผใใใจใ่ตทใใ fact6: ใใใใทใใทใซใLv.73ไบไปถใฏ็บ็ใใชใใจใใใจใ้ใ่พผใใใจใจใฝใชใฝใLv.56ไบไปถใ็ใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact7: ๅฃๆฑใใจใใใใจใใใณไผดใๆใใจใใใใจใ็บ็ใใ ; $hypothesis$ = ใ้ใ่พผใใใจใใใณใฝใชใฝใLv.56ไบไปถใ็ใใใใจใใใใจใฏๅใ ; $proof$ = | fact5 -> int1: ้ใ่พผใใใจใ่ตทใใ; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {B} fact2: {GT} fact3: ยฌ{B} -> ({BU} & {A}) fact4: {EH} fact5: {A} fact6: ยฌ{C} -> ยฌ({A} & {B}) fact7: ({GR} & {EB}) ; $hypothesis$ = ยฌ({A} & {B}) ; $proof$ = | fact5 -> int1: {A}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใดใใดใกใLv.39ไบไปถใจ่ฆชใใใจใใใใจใฉใกใใใ็ใใ | ({A} & {B}) | fact1: ไปฎใซใๅฝฑ้ฟใใๆใใจใใใใจใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใฆใฐใใดใใดใกใLv.39ไบไปถใ็บ็ใใใๆดใซ่ฆชใใใจใใใใจใ็ใใใใจใใใใจใฏ่ชคใฃใฆใใ fact2: ใฟใซใฟใซใ
Lv.98ไบไปถใ่ตทใใ fact3: ใทใฎใทใซใLv.30ไบไปถใ่ตทใใ fact4: ่ฆชใใใจใใใใจใ็บ็ใใ fact5: ใทใใทใLv.14ไบไปถใ่ตทใใ | fact1: ยฌ{C} -> ยฌ({A} & {B}) fact2: {CU} fact3: {DI} fact4: {B} fact5: {EM} | [] | [] | ใใดใใดใกใLv.39ไบไปถใจ่ฆชใใใจใใใใจใ็ใใใใจใใใใจใฏๅฝใงใใ | ยฌ({A} & {B}) | [] | 6 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ไปฎใซใๅฝฑ้ฟใใๆใใจใใใใจใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใฆใฐใใดใใดใกใLv.39ไบไปถใ็บ็ใใใๆดใซ่ฆชใใใจใใใใจใ็ใใใใจใใใใจใฏ่ชคใฃใฆใใ fact2: ใฟใซใฟใซใ
Lv.98ไบไปถใ่ตทใใ fact3: ใทใฎใทใซใLv.30ไบไปถใ่ตทใใ fact4: ่ฆชใใใจใใใใจใ็บ็ใใ fact5: ใทใใทใLv.14ไบไปถใ่ตทใใ ; $hypothesis$ = ใดใใดใกใLv.39ไบไปถใจ่ฆชใใใจใใใใจใฉใกใใใ็ใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{C} -> ยฌ({A} & {B}) fact2: {CU} fact3: {DI} fact4: {B} fact5: {EM} ; $hypothesis$ = ({A} & {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใๅฑใชใใจใใใใจใจๅใๆใใจใใใใจใ็ใใใใจใใใใจใฏไบๅฎใงใชใ | ยฌ({B} & {C}) | fact1: ็ ใใจใใใใจใฏๅฑใชใใจใใใใจใ่ช็บใใ fact2: ๅใๆใใจใใใใจใ็ใใ fact3: ็ ใใจใใใใจใ่ตทใใ | fact1: {A} -> {B} fact2: {C} fact3: {A} | [
"fact1 & fact3 -> int1: ๅฑใชใใจใใใใจใ่ตทใใ; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ็ ใใจใใใใจใฏๅฑใชใใจใใใใจใ่ช็บใใ fact2: ๅใๆใใจใใใใจใ็ใใ fact3: ็ ใใจใใใใจใ่ตทใใ ; $hypothesis$ = ใๅฑใชใใจใใใใจใจๅใๆใใจใใใใจใ็ใใใใจใใใใจใฏไบๅฎใงใชใ ; $proof$ = | fact1 & fact3 -> int1: ๅฑใชใใจใใใใจใ่ตทใใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: {C} fact3: {A} ; $hypothesis$ = ยฌ({B} & {C}) ; $proof$ = | fact1 & fact3 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใฝใฎใฝใLv.77ใฏใใใไธใใ | {B}{b} | fact1: ใใใใใฎใฟใซใฟใLv.94ใฏ็งปๅใๆใใจใใใฐใๆๅใใๆดใซใใใฏใฃๆฉใใชใใใจใใใใจใฏ้้ใใ fact2: ใใฎใฟใซใฟใLv.94ใฏ็งปๅใๆใ fact3: ใใใใฎใฟใซใฟใLv.94ใฏๆๅใใใใฉใใใฏใฃๆฉใใชใใใจใใใใจใฏ่ชคใใ ใใจใใใใจใฏๆฌๅฝใงใใใชใใใฎใฝใฎใฝใLv.77ใฏใใใไธใใ | fact1: {A}{a} -> ยฌ({AA}{a} & ยฌ{AB}{a}) fact2: {A}{a} fact3: ยฌ({AA}{a} & ยฌ{AB}{a}) -> {B}{b} | [
"fact1 & fact2 -> int1: ใใใฎใฟใซใฟใLv.94ใฏๆๅใใใใใใฃๆฉใใชใใใจใใใใจใฏไบๅฎใงใชใ; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ยฌ({AA}{a} & ยฌ{AB}{a}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใใใใใฎใฟใซใฟใLv.94ใฏ็งปๅใๆใใจใใใฐใๆๅใใๆดใซใใใฏใฃๆฉใใชใใใจใใใใจใฏ้้ใใ fact2: ใใฎใฟใซใฟใLv.94ใฏ็งปๅใๆใ fact3: ใใใใฎใฟใซใฟใLv.94ใฏๆๅใใใใฉใใใฏใฃๆฉใใชใใใจใใใใจใฏ่ชคใใ ใใจใใใใจใฏๆฌๅฝใงใใใชใใใฎใฝใฎใฝใLv.77ใฏใใใไธใใ ; $hypothesis$ = ใใฎใฝใฎใฝใLv.77ใฏใใใไธใใ ; $proof$ = | fact1 & fact2 -> int1: ใใใฎใฟใซใฟใLv.94ใฏๆๅใใใใใใฃๆฉใใชใใใจใใใใจใฏไบๅฎใงใชใ; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> ยฌ({AA}{a} & ยฌ{AB}{a}) fact2: {A}{a} fact3: ยฌ({AA}{a} & ยฌ{AB}{a}) -> {B}{b} ; $hypothesis$ = {B}{b} ; $proof$ = | fact1 & fact2 -> int1: ยฌ({AA}{a} & ยฌ{AB}{a}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใใขใณในใฟใผใฏๅๅฟใๆใใฆๆดใซๆจใใใ | (Ex): ({A}x & {B}x) | fact1: ไฝใใใฎใขใณในใฟใผใฏ่ฉฑใๆใใฆๅ ใใฆๅญๅจใ fact2: ใใฎใพใใพใกใ
Lv.4ใฏๅๅฟใๆใ fact3: ใใใขใณในใฟใผใฏ็ธฎๅฐๅบๆฅใใใใคๆใใ fact4: ใใใฎใพใใพใกใ
Lv.4ใฏๆฐๅฎใใใจใใใใจใฏๆใ็ซใค fact5: ใๆจใใใใใขใณในใฟใผใฏใใ fact6: ใๅๅฟใๆใใใขใณในใฟใผใฏใใ | fact1: (Ex): ({EJ}x & {DC}x) fact2: {A}{a} fact3: (Ex): ({HK}x & {CM}x) fact4: {FH}{a} fact5: (Ex): {B}x fact6: (Ex): {A}x | [] | [] | null | null | [] | null | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ไฝใใใฎใขใณในใฟใผใฏ่ฉฑใๆใใฆๅ ใใฆๅญๅจใ fact2: ใใฎใพใใพใกใ
Lv.4ใฏๅๅฟใๆใ fact3: ใใใขใณในใฟใผใฏ็ธฎๅฐๅบๆฅใใใใคๆใใ fact4: ใใใฎใพใใพใกใ
Lv.4ใฏๆฐๅฎใใใจใใใใจใฏๆใ็ซใค fact5: ใๆจใใใใใขใณในใฟใผใฏใใ fact6: ใๅๅฟใๆใใใขใณในใฟใผใฏใใ ; $hypothesis$ = ใใใขใณในใฟใผใฏๅๅฟใๆใใฆๆดใซๆจใใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): ({EJ}x & {DC}x) fact2: {A}{a} fact3: (Ex): ({HK}x & {CM}x) fact4: {FH}{a} fact5: (Ex): {B}x fact6: (Ex): {A}x ; $hypothesis$ = (Ex): ({A}x & {B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ็ใพใ้ฃใใจใใใใจใ่ตทใใ | {B} | fact1: ใ็ใพใ้ฃใใจใใใใจใฏ็บ็ใใชใใใใใๆใ่พผใใใจใ็บ็ใใใใจใใใใจใฏใดใใดใLv.66ไบไปถใซ่ตทๅ ใใ fact2: ๆใ่พผใใใจใ่ตทใใใจใใใใจใฏ็ใพใ้ฃใใจใใใใจใ่ช็บใใ fact3: ใใกใใใญLv.94ไบไปถใ่ตทใใ fact4: ใดใใดใLv.66ไบไปถใใใใใฏๅบๆฅๆใใจใใใใจใฏ็ใใชใใจใใใใจใฏ็ใพใ้ฃใใจใใใใจใๅ้ฟใใ fact5: ๆใ่พผใใใจใ็ใใ fact6: ไปฎใซใพใใพใซใ
Lv.22ไบไปถใฏ่ตทใใใชใใจใใใฐใๅบๆฅๆใใจใใใใจใฏ็บ็ใใชใใฆๅ ใใฆใฟใใฟใLv.94ไบไปถใฏ่ตทใใชใใใจใใใใจใฏไบๅฎใ | fact1: {C} -> (ยฌ{B} & {A}) fact2: {A} -> {B} fact3: {JE} fact4: ({C} v ยฌ{D}) -> ยฌ{B} fact5: {A} fact6: ยฌ{F} -> (ยฌ{D} & ยฌ{E}) | [
"fact5 -> int1: ๆใ่พผใใใจใ็ใใ; int1 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: {A}; int1 & fact2 -> hypothesis;"
] | ็ฏใ้ฃใใจใใใใจใ่ตทใใ | {FF} | [] | 7 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใ็ใพใ้ฃใใจใใใใจใฏ็บ็ใใชใใใใใๆใ่พผใใใจใ็บ็ใใใใจใใใใจใฏใดใใดใLv.66ไบไปถใซ่ตทๅ ใใ fact2: ๆใ่พผใใใจใ่ตทใใใจใใใใจใฏ็ใพใ้ฃใใจใใใใจใ่ช็บใใ fact3: ใใกใใใญLv.94ไบไปถใ่ตทใใ fact4: ใดใใดใLv.66ไบไปถใใใใใฏๅบๆฅๆใใจใใใใจใฏ็ใใชใใจใใใใจใฏ็ใพใ้ฃใใจใใใใจใๅ้ฟใใ fact5: ๆใ่พผใใใจใ็ใใ fact6: ไปฎใซใพใใพใซใ
Lv.22ไบไปถใฏ่ตทใใใชใใจใใใฐใๅบๆฅๆใใจใใใใจใฏ็บ็ใใชใใฆๅ ใใฆใฟใใฟใLv.94ไบไปถใฏ่ตทใใชใใใจใใใใจใฏไบๅฎใ ; $hypothesis$ = ็ใพใ้ฃใใจใใใใจใ่ตทใใ ; $proof$ = | fact5 -> int1: ๆใ่พผใใใจใ็ใใ; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {C} -> (ยฌ{B} & {A}) fact2: {A} -> {B} fact3: {JE} fact4: ({C} v ยฌ{D}) -> ยฌ{B} fact5: {A} fact6: ยฌ{F} -> (ยฌ{D} & ยฌ{E}) ; $hypothesis$ = {B} ; $proof$ = | fact5 -> int1: {A}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ใฝใกใใฝใLv.0ไบไปถใ็บ็ใใ | {C} | fact1: ๅใฃไปใๆใใจใใใใจใ่ตทใใ fact2: ใใใกใ
ใใญLv.37ไบไปถใ็ใใใใจใใใใจใฏๆใ็ซใค fact3: ใๅใฃไปใๆใใจใใใใจใใใณๅงใใใใจใใใใจใฉใกใใใ็ใใใใจใใใใจใฏใฝใกใใฝใLv.0ไบไปถใฏ็บ็ใใชใใจใใใใจใ็บ็ใใใ fact4: ๅใใจใใใใจใฏ่ตทใใชใ fact5: ใๅงใใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆฌๅฝใงใใ | fact1: {A} fact2: {DN} fact3: ({A} & {B}) -> ยฌ{C} fact4: ยฌ{L} fact5: {B} | [
"fact1 & fact5 -> int1: ๅใฃไปใๆใใจใใใใจใ็ใใใใพใๅงใใใใจใใใใจใ็บ็ใใ; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ๅใฃไปใๆใใจใใใใจใ่ตทใใ fact2: ใใใกใ
ใใญLv.37ไบไปถใ็ใใใใจใใใใจใฏๆใ็ซใค fact3: ใๅใฃไปใๆใใจใใใใจใใใณๅงใใใใจใใใใจใฉใกใใใ็ใใใใจใใใใจใฏใฝใกใใฝใLv.0ไบไปถใฏ็บ็ใใชใใจใใใใจใ็บ็ใใใ fact4: ๅใใจใใใใจใฏ่ตทใใชใ fact5: ใๅงใใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆฌๅฝใงใใ ; $hypothesis$ = ใฝใกใใฝใLv.0ไบไปถใ็บ็ใใ ; $proof$ = | fact1 & fact5 -> int1: ๅใฃไปใๆใใจใใใใจใ็ใใใใพใๅงใใใใจใใใใจใ็บ็ใใ; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} fact2: {DN} fact3: ({A} & {B}) -> ยฌ{C} fact4: ยฌ{L} fact5: {B} ; $hypothesis$ = {C} ; $proof$ = | fact1 & fact5 -> int1: ({A} & {B}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ใฝใญใฝใฎLv.76ไบไปถใ่ตทใใใใพใซใพใLv.19ไบไปถใ่ตทใใ | ({A} & {C}) | fact1: ใฝใญใฝใฎLv.76ไบไปถใใใณใดใใดใLv.18ไบไปถใ็บ็ใใ fact2: ใๆใๅคใใจใใใใจใใใณๆทใฟ็กใใจใใใใจใฉใกใใใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใใจใใใใดใใดใLv.18ไบไปถใฏ่ตทใใชใ fact3: ใพใซใพใLv.19ไบไปถใ่ตทใใ fact4: ใใๆผใฃๆพใๅบใใใจใฏ่ตทใใใชใใชใใฐใๆใๅคใใจใใใใจใจๆทใฟ็กใใจใใใใจใฉใกใใใ่ตทใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact5: ใใดใใดใLv.18ไบไปถใฏ่ตทใใชใใใจใใใใจใฏ็ขบใใงใใใจใใใฐใใฝใญใฝใฎLv.76ไบไปถใ่ตทใใใใใใใพใซใพใLv.19ไบไปถใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact6: ใดใใดใLv.18ไบไปถใ็ใใ fact7: ใดใใดใกใLv.92ไบไปถใ็ใใ | fact1: ({A} & {B}) fact2: ยฌ({E} & {D}) -> ยฌ{B} fact3: {C} fact4: ยฌ{F} -> ยฌ({E} & {D}) fact5: ยฌ{B} -> ยฌ({A} & {C}) fact6: {B} fact7: {DP} | [
"fact1 -> int1: ใฝใญใฝใฎLv.76ไบไปถใ่ตทใใ; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: {A}; int1 & fact3 -> hypothesis;"
] | ใใฝใญใฝใฎLv.76ไบไปถใใใณใพใซใพใLv.19ไบไปถใ็บ็ใใใใจใใใใจใฏ็ๅฎใงใชใ | ยฌ({A} & {C}) | [] | 8 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใฝใญใฝใฎLv.76ไบไปถใใใณใดใใดใLv.18ไบไปถใ็บ็ใใ fact2: ใๆใๅคใใจใใใใจใใใณๆทใฟ็กใใจใใใใจใฉใกใใใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใใจใใใใดใใดใLv.18ไบไปถใฏ่ตทใใชใ fact3: ใพใซใพใLv.19ไบไปถใ่ตทใใ fact4: ใใๆผใฃๆพใๅบใใใจใฏ่ตทใใใชใใชใใฐใๆใๅคใใจใใใใจใจๆทใฟ็กใใจใใใใจใฉใกใใใ่ตทใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact5: ใใดใใดใLv.18ไบไปถใฏ่ตทใใชใใใจใใใใจใฏ็ขบใใงใใใจใใใฐใใฝใญใฝใฎLv.76ไบไปถใ่ตทใใใใใใใพใซใพใLv.19ไบไปถใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact6: ใดใใดใLv.18ไบไปถใ็ใใ fact7: ใดใใดใกใLv.92ไบไปถใ็ใใ ; $hypothesis$ = ใฝใญใฝใฎLv.76ไบไปถใ่ตทใใใใพใซใพใLv.19ไบไปถใ่ตทใใ ; $proof$ = | fact1 -> int1: ใฝใญใฝใฎLv.76ไบไปถใ่ตทใใ; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A} & {B}) fact2: ยฌ({E} & {D}) -> ยฌ{B} fact3: {C} fact4: ยฌ{F} -> ยฌ({E} & {D}) fact5: ยฌ{B} -> ยฌ({A} & {C}) fact6: {B} fact7: {DP} ; $hypothesis$ = ({A} & {C}) ; $proof$ = | fact1 -> int1: {A}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใใฎใฟใใฟใกใLv.96ใฏ่ธใฟ่ถใใใใจใใใใจใฏๆใ็ซใค | {A}{a} | fact1: ใใใใฎใฝใใฝใLv.66ใ่ฑใใชใใใใพใใซ่ถ่ฒใฃใฝใใจใใใใจใฏใชใใจใใใฐใใฎใดใซใใดใญLv.94ใฏ่ฑใใชใ fact2: ใใไปฎใซใใใใฎใดใฎใดใซใLv.42ใฏใใงใใฏๅบๆฅใใจใใใใจใฏใชใใใพใใฏ่พใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏไบๅฎใชใใใฎใฝใใฝใLv.66ใฏๆๆกใ้ฃใใชใ fact3: ใใใใใฎใดใซใใดใญLv.94ใฏ่ฑใใใจใใใใจใฏใชใใใจใใใใจใฏไบๅฎใงใใใจใใใฐใใฎใฝใใฝใชLv.60ใฏๅฎ่ฃ
ใใใใใพใใซไปใใ fact4: ๆๆกใ้ฃใใชใใขใณในใฟใผใฏ่ฑใใชใใ่ถ่ฒใฃใฝใใชใ fact5: ใใใฎใฝใใฝใชLv.60ใฏไปใใใใจใใใใจใฏ็ๅฎใ ใจใใใใใใฎใพใใพใญLv.15ใฏ่ธใฟ่ถใใชใใใฉๅทใๆใใใจใใใใจใฏๆใ็ซใใชใ | fact1: (ยฌ{E}{e} & ยฌ{F}{e}) -> ยฌ{E}{d} fact2: ยฌ(ยฌ{H}{f} v {I}{f}) -> ยฌ{G}{e} fact3: ยฌ{E}{d} -> ({D}{c} & {B}{c}) fact4: (x): ยฌ{G}x -> (ยฌ{E}x & ยฌ{F}x) fact5: {B}{c} -> ยฌ(ยฌ{A}{b} & {C}{b}) | [] | [] | ใใฎใฟใใฟใกใLv.96ใฏ่ธใฟ่ถใใชใ | ยฌ{A}{a} | [
"fact9 -> int1: ไปฎใซใใฎใฝใใฝใLv.66ใๆๆกใ้ฃใใชใใจใใใฐ่ฑใใชใใฆใใใฏ่ถ่ฒใฃใฝใใชใ;"
] | 9 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใฎใฝใใฝใLv.66ใ่ฑใใชใใใใพใใซ่ถ่ฒใฃใฝใใจใใใใจใฏใชใใจใใใฐใใฎใดใซใใดใญLv.94ใฏ่ฑใใชใ fact2: ใใไปฎใซใใใใฎใดใฎใดใซใLv.42ใฏใใงใใฏๅบๆฅใใจใใใใจใฏใชใใใพใใฏ่พใใใใใใฏไธกๆนใ ใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏไบๅฎใชใใใฎใฝใใฝใLv.66ใฏๆๆกใ้ฃใใชใ fact3: ใใใใใฎใดใซใใดใญLv.94ใฏ่ฑใใใจใใใใจใฏใชใใใจใใใใจใฏไบๅฎใงใใใจใใใฐใใฎใฝใใฝใชLv.60ใฏๅฎ่ฃ
ใใใใใพใใซไปใใ fact4: ๆๆกใ้ฃใใชใใขใณในใฟใผใฏ่ฑใใชใใ่ถ่ฒใฃใฝใใชใ fact5: ใใใฎใฝใใฝใชLv.60ใฏไปใใใใจใใใใจใฏ็ๅฎใ ใจใใใใใใฎใพใใพใญLv.15ใฏ่ธใฟ่ถใใชใใใฉๅทใๆใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใใใฎใฟใใฟใกใLv.96ใฏ่ธใฟ่ถใใใใจใใใใจใฏๆใ็ซใค ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (ยฌ{E}{e} & ยฌ{F}{e}) -> ยฌ{E}{d} fact2: ยฌ(ยฌ{H}{f} v {I}{f}) -> ยฌ{G}{e} fact3: ยฌ{E}{d} -> ({D}{c} & {B}{c}) fact4: (x): ยฌ{G}x -> (ยฌ{E}x & ยฌ{F}x) fact5: {B}{c} -> ยฌ(ยฌ{A}{b} & {C}{b}) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใทใกใใทใกใLv.92ใฏใใใฉใใชใ | ยฌ{C}{a} | fact1: ใใใใใฎใฝใใฝใซใLv.18ใ่กใใใใใใฎไธใใใฏใใฟใใใจใใใใจใฏๆใ็ซใใชใใจใใใฐใใฎใดใใดใซใLv.5ใฏ่กใใใใชใ fact2: ใใใฎใดใใดใซใLv.5ใฏ่กใใใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใชใใใฎใดใซใดใซใ
Lv.59ใฏ่ณใใใ้้็กใใชใใใใใใฏใฉใกใใใ fact3: ใใฎใทใกใใทใกใLv.92ใ้้็กใใใใฎไธใใใฏใใใใชใ fact4: ใใใใใฎใทใซใใทใกใ
Lv.44ใ้้็กใใชใใใใใใชใใจใใใจใใฎใทใกใใทใกใLv.92ใฏใใใฉใใจใใใใจใฏใชใ fact5: ใใฎใทใกใใทใกใLv.92ใฏ้้็กใ fact6: ใใไปฎใซใใฎใดใซใดใซใ
Lv.59ใ่ณใใใ้้็กใใชใใไธกๆนใ ใจใใใใใฎใทใซใใทใกใ
Lv.44ใฏ้้็กใใชใ fact7: ใใฎใทใกใใทใกใLv.92ใใใใใชใใชใใฐใใฎใทใกใใทใกใLv.92ใฏใใใฉใ | fact1: ยฌ({F}{e} & {G}{e}) -> ยฌ{F}{d} fact2: ยฌ{F}{d} -> ({E}{c} v ยฌ{A}{c}) fact3: ({A}{a} & {B}{a}) fact4: (ยฌ{A}{b} & {B}{b}) -> ยฌ{C}{a} fact5: {A}{a} fact6: ({E}{c} v ยฌ{A}{c}) -> ยฌ{A}{b} fact7: {B}{a} -> {C}{a} | [
"fact3 -> int1: ใใฎใทใกใใทใกใLv.92ใฏใใใใชใ; int1 & fact7 -> hypothesis;"
] | [
"fact3 -> int1: {B}{a}; int1 & fact7 -> hypothesis;"
] | ใใฎใทใกใใทใกใLv.92ใฏใใใฉใใชใ | ยฌ{C}{a} | [] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใใฎใฝใใฝใซใLv.18ใ่กใใใใใใฎไธใใใฏใใฟใใใจใใใใจใฏๆใ็ซใใชใใจใใใฐใใฎใดใใดใซใLv.5ใฏ่กใใใใชใ fact2: ใใใฎใดใใดใซใLv.5ใฏ่กใใใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใชใใใฎใดใซใดใซใ
Lv.59ใฏ่ณใใใ้้็กใใชใใใใใใฏใฉใกใใใ fact3: ใใฎใทใกใใทใกใLv.92ใ้้็กใใใใฎไธใใใฏใใใใชใ fact4: ใใใใใฎใทใซใใทใกใ
Lv.44ใ้้็กใใชใใใใใใชใใจใใใจใใฎใทใกใใทใกใLv.92ใฏใใใฉใใจใใใใจใฏใชใ fact5: ใใฎใทใกใใทใกใLv.92ใฏ้้็กใ fact6: ใใไปฎใซใใฎใดใซใดใซใ
Lv.59ใ่ณใใใ้้็กใใชใใไธกๆนใ ใจใใใใใฎใทใซใใทใกใ
Lv.44ใฏ้้็กใใชใ fact7: ใใฎใทใกใใทใกใLv.92ใใใใใชใใชใใฐใใฎใทใกใใทใกใLv.92ใฏใใใฉใ ; $hypothesis$ = ใใฎใทใกใใทใกใLv.92ใฏใใใฉใใชใ ; $proof$ = | fact3 -> int1: ใใฎใทใกใใทใกใLv.92ใฏใใใใชใ; int1 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ({F}{e} & {G}{e}) -> ยฌ{F}{d} fact2: ยฌ{F}{d} -> ({E}{c} v ยฌ{A}{c}) fact3: ({A}{a} & {B}{a}) fact4: (ยฌ{A}{b} & {B}{b}) -> ยฌ{C}{a} fact5: {A}{a} fact6: ({E}{c} v ยฌ{A}{c}) -> ยฌ{A}{b} fact7: {B}{a} -> {C}{a} ; $hypothesis$ = ยฌ{C}{a} ; $proof$ = | fact3 -> int1: {B}{a}; int1 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใซLv.78ไบไปถใ็บ็ใใ | {C} | fact1: ใใใฉใใจใใใใจใฏใใใใใซLv.78ไบไปถใฏ็บ็ใใชใใใจใใใใจใ้ฒใ fact2: ใใใชใใจใใใใจใ่ตทใใ fact3: ใใใใฉใใจใใใใจใ่ตทใใใใจใใใใจใฏใใใชใใจใใใใจใซๅผใ่ตทใใใใ | fact1: {B} -> {C} fact2: {A} fact3: {A} -> {B} | [
"fact3 & fact2 -> int1: ใใใฉใใจใใใใจใ็ใใ; int1 & fact1 -> hypothesis;"
] | [
"fact3 & fact2 -> int1: {B}; int1 & fact1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใใใฉใใจใใใใจใฏใใใใใซLv.78ไบไปถใฏ็บ็ใใชใใใจใใใใจใ้ฒใ fact2: ใใใชใใจใใใใจใ่ตทใใ fact3: ใใใใฉใใจใใใใจใ่ตทใใใใจใใใใจใฏใใใชใใจใใใใจใซๅผใ่ตทใใใใ ; $hypothesis$ = ใใใใซLv.78ไบไปถใ็บ็ใใ ; $proof$ = | fact3 & fact2 -> int1: ใใใฉใใจใใใใจใ็ใใ; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} -> {C} fact2: {A} fact3: {A} -> {B} ; $hypothesis$ = {C} ; $proof$ = | fact3 & fact2 -> int1: {B}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใพใกใใพใชLv.54ใฏ่ถใฃใฝใใใใฉๅใๆใใจใใใใจใฏใชใ | ({B}{b} & ยฌ{C}{b}) | fact1: ใใไปฎใซใใฎใฝใซใ
ใฝใLv.14ใ้ใ็กใใชใใชใใฐใใฎใฝใซใ
ใฝใLv.14ใฏ็ตใณไปใๆใใชใใใใใใฏๆธ
ๆธใใ fact2: ๅ
จใฆใฎใขใณในใฟใผใฏ่ก่
ฅใใใใใฏ็ตใณไปใๆใ fact3: ใใฎใพใกใใพใชLv.54ใฏ้ซ้ณดใ fact4: ใใไปฎใซใใฎใฝใซใ
ใฝใLv.14ใ็ตใณไปใๆใใชใใใพใใฏๆธ
ๆธใใใชใใใฎใฝใซใ
ใฝใกใLv.89ใฏ็ตใณไปใๆใใชใ fact5: ใใฎใพใกใใพใชLv.54ใฏๅใๆใใจใใใใจใฏใชใ fact6: ใใฎใฝใซใใฝใกใLv.16ใ้ซ้ณดใใจใใใใใฎใพใกใใพใชLv.54ใฏ่ถใฃใฝใ fact7: ใใใใใใฎใฝใซใใฝใกใLv.16ใฏ้ซ้ณดใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใใใฎใพใกใใพใชLv.54ใฏ่ถใฃใฝใใใใใๅใๆใใชใใใจใใใใจใฏ้้ใฃใฆใใ | fact1: ยฌ{G}{d} -> (ยฌ{E}{d} v {F}{d}) fact2: (x): ({D}x & {E}x) fact3: {A}{b} fact4: (ยฌ{E}{d} v {F}{d}) -> ยฌ{E}{c} fact5: ยฌ{C}{b} fact6: {A}{a} -> {B}{b} fact7: ยฌ{A}{a} -> ยฌ({B}{b} & ยฌ{C}{b}) | [] | [] | ใใฎใใใใLv.61ใฏ่ถใฃใฝใ | {B}{ef} | [
"fact8 -> int1: ใใฎใฝใซใใฝใกใLv.16ใฏ่ก่
ฅใใใพใ็ตใณไปใๆใ;"
] | 6 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใไปฎใซใใฎใฝใซใ
ใฝใLv.14ใ้ใ็กใใชใใชใใฐใใฎใฝใซใ
ใฝใLv.14ใฏ็ตใณไปใๆใใชใใใใใใฏๆธ
ๆธใใ fact2: ๅ
จใฆใฎใขใณในใฟใผใฏ่ก่
ฅใใใใใฏ็ตใณไปใๆใ fact3: ใใฎใพใกใใพใชLv.54ใฏ้ซ้ณดใ fact4: ใใไปฎใซใใฎใฝใซใ
ใฝใLv.14ใ็ตใณไปใๆใใชใใใพใใฏๆธ
ๆธใใใชใใใฎใฝใซใ
ใฝใกใLv.89ใฏ็ตใณไปใๆใใชใ fact5: ใใฎใพใกใใพใชLv.54ใฏๅใๆใใจใใใใจใฏใชใ fact6: ใใฎใฝใซใใฝใกใLv.16ใ้ซ้ณดใใจใใใใใฎใพใกใใพใชLv.54ใฏ่ถใฃใฝใ fact7: ใใใใใใฎใฝใซใใฝใกใLv.16ใฏ้ซ้ณดใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใใใฎใพใกใใพใชLv.54ใฏ่ถใฃใฝใใใใใๅใๆใใชใใใจใใใใจใฏ้้ใฃใฆใใ ; $hypothesis$ = ใใฎใพใกใใพใชLv.54ใฏ่ถใฃใฝใใใใฉๅใๆใใจใใใใจใฏใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ{G}{d} -> (ยฌ{E}{d} v {F}{d}) fact2: (x): ({D}x & {E}x) fact3: {A}{b} fact4: (ยฌ{E}{d} v {F}{d}) -> ยฌ{E}{c} fact5: ยฌ{C}{b} fact6: {A}{a} -> {B}{b} fact7: ยฌ{A}{a} -> ยฌ({B}{b} & ยฌ{C}{b}) ; $hypothesis$ = ({B}{b} & ยฌ{C}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใทใฎใทใLv.17ใฏ็้ใ | {C}{b} | fact1: ใใไปฎใซใใฎใพใใพใLv.6ใไฟกไปฐๆทฑใใจใใใจใใฎใพใใพใLv.6ใฏ่ชญใฟ้ฃใ fact2: ใใใฎใทใชใทใกใLv.76ใฏ็้ใใใจใใใใจใฏๆใ็ซใค fact3: ใใฎใพใใพใLv.6ใฏใใใ fact4: ไปฎใซใใฎใพใใพใLv.6ใ่ชญใฟ้ฃใใชใใฐใใฎใทใฎใทใLv.17ใฏ็้ใ fact5: ใใฎใพใใพใLv.6ใฏไฟกไปฐๆทฑใ | fact1: {A}{a} -> {B}{a} fact2: {C}{u} fact3: {FL}{a} fact4: {B}{a} -> {C}{b} fact5: {A}{a} | [
"fact1 & fact5 -> int1: ใใฎใพใใพใLv.6ใฏ่ชญใฟ้ฃใ; int1 & fact4 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: {B}{a}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ใใไปฎใซใใฎใพใใพใLv.6ใไฟกไปฐๆทฑใใจใใใจใใฎใพใใพใLv.6ใฏ่ชญใฟ้ฃใ fact2: ใใใฎใทใชใทใกใLv.76ใฏ็้ใใใจใใใใจใฏๆใ็ซใค fact3: ใใฎใพใใพใLv.6ใฏใใใ fact4: ไปฎใซใใฎใพใใพใLv.6ใ่ชญใฟ้ฃใใชใใฐใใฎใทใฎใทใLv.17ใฏ็้ใ fact5: ใใฎใพใใพใLv.6ใฏไฟกไปฐๆทฑใ ; $hypothesis$ = ใใฎใทใฎใทใLv.17ใฏ็้ใ ; $proof$ = | fact1 & fact5 -> int1: ใใฎใพใใพใLv.6ใฏ่ชญใฟ้ฃใ; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} -> {B}{a} fact2: {C}{u} fact3: {FL}{a} fact4: {B}{a} -> {C}{b} fact5: {A}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 & fact5 -> int1: {B}{a}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใ | {A}{a} | fact1: ใใใใฎใพใซใพใLv.32ใฏ้ขไผใใใ้ฃใ็ฌ็กใใชใใใจใใใใจใฏไบๅฎใ ใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใ fact2: ่ญฆ่ญทใใใ้ฃใ็ฌ็กใใจใใใขใณในใฟใผใฏใชใ fact3: ใใใใฎใพใซใพใLv.32ใ้ฃใ็ฌ็กใใจใใใใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใ fact4: ใใใฏ้ขไผใใใใใคใใใฏ้ฃใ็ฌ็กใใจใใใขใณในใฟใผใฏใชใ fact5: ใใใใใใใฎใฟใใฟใLv.93ใฏ่ญฆ่ญทใใใใใใ็
งใ่ญใใชใใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏไบๅฎใงใใใฐใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใชใ fact6: ้ขไผใใใ้ฃใ็ฌ็กใใชใใจใใใขใณในใฟใผใฏใชใ fact7: ใใใใใฎใฟใฎใฟใซใLv.88ใฏๆฐ้ซใใชใใชใใใใฎใฟใใฟใLv.93ใฏ่ญฆ่ญทใใไธๆนใง็
งใ่ญใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ | fact1: ยฌ({AA}{aa} & ยฌ{AB}{aa}) -> {A}{a} fact2: (x): ยฌ({A}x & {AB}x) fact3: {AB}{aa} -> {A}{a} fact4: (x): ยฌ({AA}x & {AB}x) fact5: ยฌ({A}{b} & ยฌ{B}{b}) -> ยฌ{A}{a} fact6: (x): ยฌ({AA}x & ยฌ{AB}x) fact7: ยฌ{C}{c} -> ยฌ({A}{b} & ยฌ{B}{b}) | [
"fact6 -> int1: ใใใฎใพใซใพใLv.32ใฏ้ขไผใใไธๆนใง้ฃใ็ฌ็กใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ; int1 & fact1 -> hypothesis;"
] | [
"fact6 -> int1: ยฌ({AA}{aa} & ยฌ{AB}{aa}); int1 & fact1 -> hypothesis;"
] | ใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใชใ | ยฌ{A}{a} | [] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใใใฎใพใซใพใLv.32ใฏ้ขไผใใใ้ฃใ็ฌ็กใใชใใใจใใใใจใฏไบๅฎใ ใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใ fact2: ่ญฆ่ญทใใใ้ฃใ็ฌ็กใใจใใใขใณในใฟใผใฏใชใ fact3: ใใใใฎใพใซใพใLv.32ใ้ฃใ็ฌ็กใใจใใใใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใ fact4: ใใใฏ้ขไผใใใใใคใใใฏ้ฃใ็ฌ็กใใจใใใขใณในใฟใผใฏใชใ fact5: ใใใใใใใฎใฟใใฟใLv.93ใฏ่ญฆ่ญทใใใใใใ็
งใ่ญใใชใใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏไบๅฎใงใใใฐใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใชใ fact6: ้ขไผใใใ้ฃใ็ฌ็กใใชใใจใใใขใณในใฟใผใฏใชใ fact7: ใใใใใฎใฟใฎใฟใซใLv.88ใฏๆฐ้ซใใชใใชใใใใฎใฟใใฟใLv.93ใฏ่ญฆ่ญทใใไธๆนใง็
งใ่ญใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใใฎใฟใกใ
ใฟใชLv.22ใฏ่ญฆ่ญทใใ ; $proof$ = | fact6 -> int1: ใใใฎใพใซใพใLv.32ใฏ้ขไผใใไธๆนใง้ฃใ็ฌ็กใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ({AA}{aa} & ยฌ{AB}{aa}) -> {A}{a} fact2: (x): ยฌ({A}x & {AB}x) fact3: {AB}{aa} -> {A}{a} fact4: (x): ยฌ({AA}x & {AB}x) fact5: ยฌ({A}{b} & ยฌ{B}{b}) -> ยฌ{A}{a} fact6: (x): ยฌ({AA}x & ยฌ{AB}x) fact7: ยฌ{C}{c} -> ยฌ({A}{b} & ยฌ{B}{b}) ; $hypothesis$ = {A}{a} ; $proof$ = | fact6 -> int1: ยฌ({AA}{aa} & ยฌ{AB}{aa}); int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ๅผใฃๆฌใใใใจใฏ็ใใชใ | ยฌ{C} | fact1: ใใใกใใใLv.68ไบไปถใ็ใใใใจใใใใจใฏใฟใซใใฟใLv.19ไบไปถใซๅธฐ็ตใใ fact2: ๅผใฃๆฌใใใใจใใฟใซใใฟใLv.19ไบไปถใฏๅๅ ใงใใ fact3: ใใกใใใLv.68ไบไปถใ็ใใ | fact1: {A} -> {B} fact2: {B} -> {C} fact3: {A} | [
"fact1 & fact3 -> int1: ใฟใซใใฟใLv.19ไบไปถใ็บ็ใใ; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใใกใใใLv.68ไบไปถใ็ใใใใจใใใใจใฏใฟใซใใฟใLv.19ไบไปถใซๅธฐ็ตใใ fact2: ๅผใฃๆฌใใใใจใใฟใซใใฟใLv.19ไบไปถใฏๅๅ ใงใใ fact3: ใใกใใใLv.68ไบไปถใ็ใใ ; $hypothesis$ = ๅผใฃๆฌใใใใจใฏ็ใใชใ ; $proof$ = | fact1 & fact3 -> int1: ใฟใซใใฟใLv.19ไบไปถใ็บ็ใใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: {B} -> {C} fact3: {A} ; $hypothesis$ = ยฌ{C} ; $proof$ = | fact1 & fact3 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใทใใทใซLv.53ใฏ็
ใใใจใใใใจใฏใชใ | ยฌ{A}{aa} | fact1: ใใใใใฎใทใใทใซLv.53ใฏๆฐๆฅใใใใใชใใใใใๆใใใใจใใใใจใฏ้้ใฃใฆใใใจใใใฐ็
ใใใชใ fact2: ใใใฎใทใใทใซLv.53ใฏๆฐๆฅใใใใใๆใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact3: ใใไปฎใซใใฎใฟใใฟใLv.70ใๅฝใใ้ฃใใชใใใฎใฟใใฟใLv.70ใฏๆฐๆฅใใใใ fact4: ใใใฏๆฐๆฅใใใใใใใใๆใใใจใใใขใณในใฟใผใฏใชใ fact5: ใใใใใฎใฟใใฟใLv.70ใๆฐๆฅใใใใใฆ็
ใใใชใใใฎใใใใLv.84ใฏๆฐๆฅใใใใใจใใใใจใฏใชใ | fact1: ยฌ(ยฌ{AA}{aa} & {AB}{aa}) -> ยฌ{A}{aa} fact2: ยฌ({AA}{aa} & {AB}{aa}) fact3: {D}{a} -> {AA}{a} fact4: (x): ยฌ({AA}x & {AB}x) fact5: ({AA}{a} & {A}{a}) -> ยฌ{AA}{bh} | [] | [] | ใใฎใใใใLv.84ใฏๆฐๆฅใใใใใชใ | ยฌ{AA}{bh} | [] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใใฎใทใใทใซLv.53ใฏๆฐๆฅใใใใใชใใใใใๆใใใใจใใใใจใฏ้้ใฃใฆใใใจใใใฐ็
ใใใชใ fact2: ใใใฎใทใใทใซLv.53ใฏๆฐๆฅใใใใใๆใใใใจใใใใจใฏไบๅฎใจ็ฐใชใ fact3: ใใไปฎใซใใฎใฟใใฟใLv.70ใๅฝใใ้ฃใใชใใใฎใฟใใฟใLv.70ใฏๆฐๆฅใใใใ fact4: ใใใฏๆฐๆฅใใใใใใใใๆใใใจใใใขใณในใฟใผใฏใชใ fact5: ใใใใใฎใฟใใฟใLv.70ใๆฐๆฅใใใใใฆ็
ใใใชใใใฎใใใใLv.84ใฏๆฐๆฅใใใใใจใใใใจใฏใชใ ; $hypothesis$ = ใใฎใทใใทใซLv.53ใฏ็
ใใใจใใใใจใฏใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ(ยฌ{AA}{aa} & {AB}{aa}) -> ยฌ{A}{aa} fact2: ยฌ({AA}{aa} & {AB}{aa}) fact3: {D}{a} -> {AA}{a} fact4: (x): ยฌ({AA}x & {AB}x) fact5: ({AA}{a} & {A}{a}) -> ยฌ{AA}{bh} ; $hypothesis$ = ยฌ{A}{aa} ; $proof$ = | __UNKNOWN__ |
0.3 | ใๆๆกใ่พใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๆใ็ซใค | ยฌ{C} | fact1: ใๆนฟๆฐๆใใจใใใใจใจ้ฟใ้ฃใใจใใใใจไธกๆนใจใใ็บ็ใใใใจใใใใจใฏใฟใกใใฟใLv.65ไบไปถใฏ็บ็ใใชใใจใใใใจใซใใใใใใ fact2: ๆๆกใ่พใใจใใใใจใ็ใใใจใใใใจใฏ้ฃในๆใใจใใใใจใซ็ฑๆฅใใ fact3: ็ฒใ้ฃใใจใใใใจใ็บ็ใใ fact4: ใใใ้ฃในๆใใจใใใใจใฏ่ตทใใชใใชใใฐใทใกใใทใLv.74ไบไปถใจ็ฒใ้ฃใใจใใใใจใ็ใใ fact5: ็ฒใ้ฃใใจใใใใจใใใณ้ฃในๆใใจใใใใจไธกๆนใ่ตทใใ fact6: ใใไปฎใซใพใใพใLv.9ไบไปถใฏ่ตทใใชใใจใใใจใๆๆกใ่พใใจใใใใจใฏ่ตทใใใชใไธๆนใงใฟใใฟใLv.22ไบไปถใ็ใใใใจใใใใจใฏไบๅฎใจ็ฐใชใใชใ fact7: ้ฃในๆใใจใใใใจใฏใๆๆกใ่พใใจใใใใจใฏ็ใใชใใใใฉๆนฟๆฐๆใใจใใใใจใ็บ็ใใใใจใใใใจใซ้ปๆญขใใใ | fact1: ยฌ{F} -> ({D} & {E}) fact2: {B} -> {C} fact3: {A} fact4: ยฌ{B} -> ({FF} & {A}) fact5: ({A} & {B}) fact6: ยฌ{I} -> (ยฌ{C} & {H}) fact7: (ยฌ{C} & {D}) -> ยฌ{B} | [
"fact5 -> int1: ้ฃในๆใใจใใใใจใ่ตทใใ; int1 & fact2 -> hypothesis;"
] | [
"fact5 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | ใทใกใใทใLv.74ไบไปถใ็บ็ใใ | {FF} | [] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใๆนฟๆฐๆใใจใใใใจใจ้ฟใ้ฃใใจใใใใจไธกๆนใจใใ็บ็ใใใใจใใใใจใฏใฟใกใใฟใLv.65ไบไปถใฏ็บ็ใใชใใจใใใใจใซใใใใใใ fact2: ๆๆกใ่พใใจใใใใจใ็ใใใจใใใใจใฏ้ฃในๆใใจใใใใจใซ็ฑๆฅใใ fact3: ็ฒใ้ฃใใจใใใใจใ็บ็ใใ fact4: ใใใ้ฃในๆใใจใใใใจใฏ่ตทใใชใใชใใฐใทใกใใทใLv.74ไบไปถใจ็ฒใ้ฃใใจใใใใจใ็ใใ fact5: ็ฒใ้ฃใใจใใใใจใใใณ้ฃในๆใใจใใใใจไธกๆนใ่ตทใใ fact6: ใใไปฎใซใพใใพใLv.9ไบไปถใฏ่ตทใใชใใจใใใจใๆๆกใ่พใใจใใใใจใฏ่ตทใใใชใไธๆนใงใฟใใฟใLv.22ไบไปถใ็ใใใใจใใใใจใฏไบๅฎใจ็ฐใชใใชใ fact7: ้ฃในๆใใจใใใใจใฏใๆๆกใ่พใใจใใใใจใฏ็ใใชใใใใฉๆนฟๆฐๆใใจใใใใจใ็บ็ใใใใจใใใใจใซ้ปๆญขใใใ ; $hypothesis$ = ใๆๆกใ่พใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๆใ็ซใค ; $proof$ = | fact5 -> int1: ้ฃในๆใใจใใใใจใ่ตทใใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{F} -> ({D} & {E}) fact2: {B} -> {C} fact3: {A} fact4: ยฌ{B} -> ({FF} & {A}) fact5: ({A} & {B}) fact6: ยฌ{I} -> (ยฌ{C} & {H}) fact7: (ยฌ{C} & {D}) -> ยฌ{B} ; $hypothesis$ = ยฌ{C} ; $proof$ = | fact5 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใ็ฑใใจใใใใจใ็บ็ใใใใใพใใซใฟใใฟใชLv.80ไบไปถใ็ใใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ({B} & {C}) | fact1: ใใใใฎLv.24ไบไปถใจ็ฑใใจใใใใจใ็ใใ fact2: ใฟใใฟใชLv.80ไบไปถใ็บ็ใใ fact3: ใใญใใLv.73ไบไปถใ่ตทใใ fact4: ใฟใซใฟใซใLv.21ไบไปถใ่ตทใใ fact5: ใ่ฉฐใพใๆใใจใใใใจใ่ตทใใใใจใใใใจใฏไบๅฎใ | fact1: ({A} & {B}) fact2: {C} fact3: {GT} fact4: {BE} fact5: {F} | [
"fact1 -> int1: ็ฑใใจใใใใจใ็ใใ; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใใใฎLv.24ไบไปถใจ็ฑใใจใใใใจใ็ใใ fact2: ใฟใใฟใชLv.80ไบไปถใ็บ็ใใ fact3: ใใญใใLv.73ไบไปถใ่ตทใใ fact4: ใฟใซใฟใซใLv.21ไบไปถใ่ตทใใ fact5: ใ่ฉฐใพใๆใใจใใใใจใ่ตทใใใใจใใใใจใฏไบๅฎใ ; $hypothesis$ = ใ็ฑใใจใใใใจใ็บ็ใใใใใพใใซใฟใใฟใชLv.80ไบไปถใ็ใใใใจใใใใจใฏ่ชคใฃใฆใใ ; $proof$ = | fact1 -> int1: ็ฑใใจใใใใจใ็ใใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({A} & {B}) fact2: {C} fact3: {GT} fact4: {BE} fact5: {F} ; $hypothesis$ = ยฌ({B} & {C}) ; $proof$ = | fact1 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใทใใทใLv.20ใฏๆใใใๆใ | {C}{aa} | fact1: ใใฎใทใใทใLv.20ใฏ็ถดใใชใ fact2: ๅใใ้ฃใใจใใใใจใฏใชใใขใณในใฟใผใฏๅฝผใใใใ็ถดใใ fact3: ใใใใใขใณในใฟใผใ็ถดใใชใใจใใใใใใฏๆใใใๆใใชใ fact4: ใใใใใฎใทใใทใLv.69ใๆใกไธใใๆใใชใใๅ ใใฆๆ ผๅฅฝ่ฏใใชใใจใใใใใฎใทใใทใLv.69ใฏๅใใ้ฃใใชใ | fact1: ยฌ{B}{aa} fact2: (x): ยฌ{E}x -> ({D}x & {B}x) fact3: (x): ยฌ{B}x -> ยฌ{C}x fact4: (ยฌ{F}{bn} & ยฌ{G}{bn}) -> ยฌ{E}{bn} | [
"fact3 -> int1: ใใใใใใฎใทใใทใLv.20ใฏ็ถดใใชใใใจใใใใจใฏ็ขบใใงใใใจใใใใใใฏๆใใใๆใใชใ; int1 & fact1 -> hypothesis;"
] | [
"fact3 -> int1: ยฌ{B}{aa} -> ยฌ{C}{aa}; int1 & fact1 -> hypothesis;"
] | ใใฎใทใใทใLv.69ใฏๆใใใๆใใชใ | ยฌ{C}{bn} | [
"fact6 -> int2: ไปฎใซใใฎใทใใทใLv.69ใๅใใ้ฃใใชใใจใใใใใฎใทใใทใLv.69ใฏๅฝผใใใใใใค็ถดใใ;"
] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใทใใทใLv.20ใฏ็ถดใใชใ fact2: ๅใใ้ฃใใจใใใใจใฏใชใใขใณในใฟใผใฏๅฝผใใใใ็ถดใใ fact3: ใใใใใขใณในใฟใผใ็ถดใใชใใจใใใใใใฏๆใใใๆใใชใ fact4: ใใใใใฎใทใใทใLv.69ใๆใกไธใใๆใใชใใๅ ใใฆๆ ผๅฅฝ่ฏใใชใใจใใใใใฎใทใใทใLv.69ใฏๅใใ้ฃใใชใ ; $hypothesis$ = ใใฎใทใใทใLv.20ใฏๆใใใๆใ ; $proof$ = | fact3 -> int1: ใใใใใใฎใทใใทใLv.20ใฏ็ถดใใชใใใจใใใใจใฏ็ขบใใงใใใจใใใใใใฏๆใใใๆใใชใ; int1 & fact1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{B}{aa} fact2: (x): ยฌ{E}x -> ({D}x & {B}x) fact3: (x): ยฌ{B}x -> ยฌ{C}x fact4: (ยฌ{F}{bn} & ยฌ{G}{bn}) -> ยฌ{E}{bn} ; $hypothesis$ = {C}{aa} ; $proof$ = | fact3 -> int1: ยฌ{B}{aa} -> ยฌ{C}{aa}; int1 & fact1 -> hypothesis; __DISPROVED__ |
0.3 | ใใใฎใฝใญใฝใซใLv.87ใฏๅพๆดใใใ็ใ้ฃใใใจใใใใจใฏ้้ใใงใใ | ยฌ({B}{b} & {C}{b}) | fact1: ใใใใใใฎใใญใใฎLv.89ใฏ็ฑใฃใฝใใชใไธๆนใง้ฆฌ้นฟ้ฆฌ้นฟใใใใจใใใใจใฏๅใ ใใจใใใใจใฏ็ๅฎใ ใจใใใใใฎใฝใญใฝใซใLv.87ใฏ้ฆฌ้นฟ้ฆฌ้นฟใใใชใ fact2: ใใใฎใฝใญใฝใซใLv.87ใฏ็ใ้ฃใใใจใใใใจใฏๆฌๅฝใ fact3: ใใใใชใซใใใใฎใขใณในใฟใผใฏ้ฆฌ้นฟ้ฆฌ้นฟใใใชใใชใใฐใๅพๆดใใใใใใฏ็ใ้ฃใใใจใใใใจใฏ้้ใฃใฆใใ fact4: ใใไปฎใซใใฎใใญใใฎLv.89ใ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใฐใใฎใฝใญใฝใซใLv.87ใฏๅพๆดใใ fact5: ใใฎใใญใใฎLv.89ใฏ้ฆฌ้นฟ้ฆฌ้นฟใใ | fact1: ยฌ(ยฌ{E}{a} & {A}{a}) -> ยฌ{A}{b} fact2: {C}{b} fact3: (x): ยฌ{A}x -> ยฌ({B}x & {C}x) fact4: {A}{a} -> {B}{b} fact5: {A}{a} | [
"fact4 & fact5 -> int1: ใใฎใฝใญใฝใซใLv.87ใฏๅพๆดใใ; int1 & fact2 -> hypothesis;"
] | [
"fact4 & fact5 -> int1: {B}{b}; int1 & fact2 -> hypothesis;"
] | ใใใฎใฝใญใฝใซใLv.87ใฏๅพๆดใใใ็ใ้ฃใใใจใใใใจใฏ้้ใใงใใ | ยฌ({B}{b} & {C}{b}) | [
"fact7 -> int2: ใใใใฎใฝใญใฝใซใLv.87ใฏ้ฆฌ้นฟ้ฆฌ้นฟใใใชใใจใใใจใใใใๅพๆดใใใใใฎไธ็ใ้ฃใใใจใใใใจใฏ้้ใฃใฆใใ;"
] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใใใฎใใญใใฎLv.89ใฏ็ฑใฃใฝใใชใไธๆนใง้ฆฌ้นฟ้ฆฌ้นฟใใใใจใใใใจใฏๅใ ใใจใใใใจใฏ็ๅฎใ ใจใใใใใฎใฝใญใฝใซใLv.87ใฏ้ฆฌ้นฟ้ฆฌ้นฟใใใชใ fact2: ใใใฎใฝใญใฝใซใLv.87ใฏ็ใ้ฃใใใจใใใใจใฏๆฌๅฝใ fact3: ใใใใชใซใใใใฎใขใณในใฟใผใฏ้ฆฌ้นฟ้ฆฌ้นฟใใใชใใชใใฐใๅพๆดใใใใใใฏ็ใ้ฃใใใจใใใใจใฏ้้ใฃใฆใใ fact4: ใใไปฎใซใใฎใใญใใฎLv.89ใ้ฆฌ้นฟ้ฆฌ้นฟใใใจใใใฐใใฎใฝใญใฝใซใLv.87ใฏๅพๆดใใ fact5: ใใฎใใญใใฎLv.89ใฏ้ฆฌ้นฟ้ฆฌ้นฟใใ ; $hypothesis$ = ใใใฎใฝใญใฝใซใLv.87ใฏๅพๆดใใใ็ใ้ฃใใใจใใใใจใฏ้้ใใงใใ ; $proof$ = | fact4 & fact5 -> int1: ใใฎใฝใญใฝใซใLv.87ใฏๅพๆดใใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ(ยฌ{E}{a} & {A}{a}) -> ยฌ{A}{b} fact2: {C}{b} fact3: (x): ยฌ{A}x -> ยฌ({B}x & {C}x) fact4: {A}{a} -> {B}{b} fact5: {A}{a} ; $hypothesis$ = ยฌ({B}{b} & {C}{b}) ; $proof$ = | fact4 & fact5 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใไปฎใซใ่ชใใฃใฝใใฆๆญฃใใใจใใใใจใฏ้้ใใงใใใจใใใ็ญใใชใใใขใณในใฟใผใฏใใใใจใใใใจใฏ่ชคใฃใฆใใ | ยฌ((Ex): ยฌ({AA}x & {AB}x) -> ยฌ{B}x) | fact1: ใใใใ่ชค่งฃใๆใใจใใใใจใฏใชใใชใใใฎใดใซใดใLv.51ใฏๆปใๆใใชใใใพใใฏๆทฑใใจใใใใจใฏใชใใใฉใกใใใชใใขใณในใฟใผใฏใใ | fact1: fake_formula | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใใใ่ชค่งฃใๆใใจใใใใจใฏใชใใชใใใฎใดใซใดใLv.51ใฏๆปใๆใใชใใใพใใฏๆทฑใใจใใใใจใฏใชใใใฉใกใใใชใใขใณในใฟใผใฏใใ ; $hypothesis$ = ใใไปฎใซใ่ชใใฃใฝใใฆๆญฃใใใจใใใใจใฏ้้ใใงใใใจใใใ็ญใใชใใใขใณในใฟใผใฏใใใใจใใใใจใฏ่ชคใฃใฆใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: fake_formula ; $hypothesis$ = ยฌ((Ex): ยฌ({AA}x & {AB}x) -> ยฌ{B}x) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใใฆๅ ใใฆใใใฏ็พใ
ใใใใจใใใใจใฏ้้ใใ | ยฌ({B}{b} & {C}{b}) | fact1: ไฝใใใฎใขใณในใฟใผใฏ้ฐๆฐ่ญใใชใใจใใใใๆดใฟๆใใใใใฏ็พใ
ใใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใฎใทใฎใทใฎLv.12ใฏ็พใ
ใใ fact3: ใใฎใดใซใใดใLv.15ใฏ้ฐๆฐ่ญใ fact4: ใใใใใฎใดใซใใดใLv.15ใ้ฐๆฐ่ญใใจใใใจใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใ fact5: ใใไปฎใซใใฎใดใซใใดใLv.15ใฏ้ฐๆฐ่ญใใชใใชใใฐใใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใใฆ็พใ
ใใใใจใใใใจใฏๆใ็ซใใชใ fact6: ใใไปฎใซใใใฎใดใซใใดใLv.15ใฏ้ใๆใใใใใซใใใฏๅทๅฟตๆทฑใใใจใใใใจใฏๆใ็ซใใชใใชใ้ฐๆฐ่ญใใชใ fact7: ใใใฎใดใซใใดใLv.15ใฏๆดใฟๆใใใจใใใใจใฏๆใ็ซใค | fact1: (x): ยฌ{A}x -> ยฌ({B}x & {C}x) fact2: {C}{b} fact3: {A}{a} fact4: {A}{a} -> {B}{b} fact5: ยฌ{A}{a} -> ยฌ({B}{b} & {C}{b}) fact6: ยฌ({D}{a} & {E}{a}) -> ยฌ{A}{a} fact7: {B}{a} | [
"fact4 & fact3 -> int1: ใใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใใใจใใใใจใฏๆใ็ซใค; int1 & fact2 -> hypothesis;"
] | [
"fact4 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis;"
] | ใใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใใฆๅ ใใฆใใใฏ็พใ
ใใใใจใใใใจใฏ้้ใใ | ยฌ({B}{b} & {C}{b}) | [] | 5 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ไฝใใใฎใขใณในใฟใผใฏ้ฐๆฐ่ญใใชใใจใใใใๆดใฟๆใใใใใฏ็พใ
ใใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใฎใทใฎใทใฎLv.12ใฏ็พใ
ใใ fact3: ใใฎใดใซใใดใLv.15ใฏ้ฐๆฐ่ญใ fact4: ใใใใใฎใดใซใใดใLv.15ใ้ฐๆฐ่ญใใจใใใจใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใ fact5: ใใไปฎใซใใฎใดใซใใดใLv.15ใฏ้ฐๆฐ่ญใใชใใชใใฐใใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใใฆ็พใ
ใใใใจใใใใจใฏๆใ็ซใใชใ fact6: ใใไปฎใซใใใฎใดใซใใดใLv.15ใฏ้ใๆใใใใใซใใใฏๅทๅฟตๆทฑใใใจใใใใจใฏๆใ็ซใใชใใชใ้ฐๆฐ่ญใใชใ fact7: ใใใฎใดใซใใดใLv.15ใฏๆดใฟๆใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใใฆๅ ใใฆใใใฏ็พใ
ใใใใจใใใใจใฏ้้ใใ ; $proof$ = | fact4 & fact3 -> int1: ใใใฎใทใฎใทใฎLv.12ใฏๆดใฟๆใใใจใใใใจใฏๆใ็ซใค; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{A}x -> ยฌ({B}x & {C}x) fact2: {C}{b} fact3: {A}{a} fact4: {A}{a} -> {B}{b} fact5: ยฌ{A}{a} -> ยฌ({B}{b} & {C}{b}) fact6: ยฌ({D}{a} & {E}{a}) -> ยฌ{A}{a} fact7: {B}{a} ; $hypothesis$ = ยฌ({B}{b} & {C}{b}) ; $proof$ = | fact4 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใใๅนณในใฃใใใชใใๅพ้ฃใใชใใใจใใใใจใฏ้้ใฃใฆใใใใขใณในใฟใผใฏใใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ((Ex): ยฌ(ยฌ{AA}x & ยฌ{AB}x)) | fact1: ใใใใฎใฟใใฟใชLv.93ใฏๅคงไบบใฃใฝใใชใใจใใใฐใใใฎใดใซใใดใซใLv.18ใฏๅนณในใฃใใใชใใๆดใซใใใฏๅพ้ฃใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใฎใฟใใฟใชLv.93ใฏๅคงไบบใฃใฝใใจใใใใจใฏใชใ | fact1: ยฌ{A}{a} -> ยฌ(ยฌ{AA}{b} & ยฌ{AB}{b}) fact2: ยฌ{A}{a} | [
"fact1 & fact2 -> int1: ใใใฎใดใซใใดใซใLv.18ใฏๅนณในใฃใใใชใใๅ ใใฆใใใฏๅพ้ฃใใชใใใจใใใใจใฏๅใ ; int1 -> hypothesis;"
] | [
"fact1 & fact2 -> int1: ยฌ(ยฌ{AA}{b} & ยฌ{AB}{b}); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใใใฎใฟใใฟใชLv.93ใฏๅคงไบบใฃใฝใใชใใจใใใฐใใใฎใดใซใใดใซใLv.18ใฏๅนณในใฃใใใชใใๆดใซใใใฏๅพ้ฃใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใใฎใฟใใฟใชLv.93ใฏๅคงไบบใฃใฝใใจใใใใจใฏใชใ ; $hypothesis$ = ใใใๅนณในใฃใใใชใใๅพ้ฃใใชใใใจใใใใจใฏ้้ใฃใฆใใใใขใณในใฟใผใฏใใใใจใใใใจใฏๆใ็ซใใชใ ; $proof$ = | fact1 & fact2 -> int1: ใใใฎใดใซใใดใซใLv.18ใฏๅนณในใฃใใใชใใๅ ใใฆใใใฏๅพ้ฃใใชใใใจใใใใจใฏๅใ ; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{A}{a} -> ยฌ(ยฌ{AA}{b} & ยฌ{AB}{b}) fact2: ยฌ{A}{a} ; $hypothesis$ = ยฌ((Ex): ยฌ(ยฌ{AA}x & ยฌ{AB}x)) ; $proof$ = | fact1 & fact2 -> int1: ยฌ(ยฌ{AA}{b} & ยฌ{AB}{b}); int1 -> hypothesis; __DISPROVED__ |
0.3 | ใดใใดใLv.30ไบไปถใ็ใใ | {C} | fact1: ใๅพกๆณใพใไธใใใใจใ่ตทใใใใจใใใใจใฏใๅบใผใใจใใใใจใฏ็ใใชใใๅ ใใฆๅฎใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฎๅๅ ใจใชใ fact2: ใดใใดใLv.30ไบไปถใฏ็ใใชใใจใใใใจใฏใๅฎใใจใใใใจใ็ใใใใจใใใใจใซ้ปๆญขใใใ fact3: ๅฎใใจใใใใจใฏใพใฎใพใซใLv.53ไบไปถใๅๅ ใงใใ fact4: ใพใฎใพใซใLv.53ไบไปถใ็บ็ใใ fact5: ใฝใกใใฝใญLv.8ไบไปถใๅทไปใๆใใจใใใใจใฏๅฅๆฉใงใใ fact6: ใใไปฎใซๅบใผใใจใใใใจใฏ็ใใชใใชใใฐใดใใดใLv.30ไบไปถใ็ใใใใใฉๅฎใใจใใใใจใฏ็ใใชใ fact7: ็ฎๅฎใ้ฃใใจใใใใจใ่ตทใใ | fact1: {E} -> (ยฌ{D} & ยฌ{B}) fact2: {B} -> {C} fact3: {A} -> {B} fact4: {A} fact5: {P} -> {IE} fact6: ยฌ{D} -> ({C} & ยฌ{B}) fact7: {GH} | [
"fact3 & fact4 -> int1: ใๅฎใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใค; int1 & fact2 -> hypothesis;"
] | [
"fact3 & fact4 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | ใดใใดใLv.30ไบไปถใฏ่ตทใใใชใ | ยฌ{C} | [] | 6 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใๅพกๆณใพใไธใใใใจใ่ตทใใใใจใใใใจใฏใๅบใผใใจใใใใจใฏ็ใใชใใๅ ใใฆๅฎใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฎๅๅ ใจใชใ fact2: ใดใใดใLv.30ไบไปถใฏ็ใใชใใจใใใใจใฏใๅฎใใจใใใใจใ็ใใใใจใใใใจใซ้ปๆญขใใใ fact3: ๅฎใใจใใใใจใฏใพใฎใพใซใLv.53ไบไปถใๅๅ ใงใใ fact4: ใพใฎใพใซใLv.53ไบไปถใ็บ็ใใ fact5: ใฝใกใใฝใญLv.8ไบไปถใๅทไปใๆใใจใใใใจใฏๅฅๆฉใงใใ fact6: ใใไปฎใซๅบใผใใจใใใใจใฏ็ใใชใใชใใฐใดใใดใLv.30ไบไปถใ็ใใใใใฉๅฎใใจใใใใจใฏ็ใใชใ fact7: ็ฎๅฎใ้ฃใใจใใใใจใ่ตทใใ ; $hypothesis$ = ใดใใดใLv.30ไบไปถใ็ใใ ; $proof$ = | fact3 & fact4 -> int1: ใๅฎใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใค; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {E} -> (ยฌ{D} & ยฌ{B}) fact2: {B} -> {C} fact3: {A} -> {B} fact4: {A} fact5: {P} -> {IE} fact6: ยฌ{D} -> ({C} & ยฌ{B}) fact7: {GH} ; $hypothesis$ = {C} ; $proof$ = | fact3 & fact4 -> int1: {B}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ่ปขใณๆใใจใใใใจใฏ่ตทใใใชใ | ยฌ{B} | fact1: ใใไปฎใซใไธใใ้ฃใใจใใใใจใฏ็บ็ใใใใใฉ่ฃๅกซใใใใจใฏ่ตทใใใชใใใจใใใใจใฏ้้ใใงใใใจใใใฐ่ปขใณๆใใจใใใใจใ็ใใ fact2: ใใไปฎใซใใฝใใฝใญLv.68ไบไปถใ่ตทใใชใใใฉ่ปขใณๆใใจใใใใจใฏ็บ็ใใใใจใใใใจใฏ้้ใฃใฆใใใจใใใฐ่ปขใณๆใใจใใใใจใฏ็บ็ใใชใ fact3: ไปฎใซใฝใใฝใญLv.68ไบไปถใฏ็บ็ใใชใใจใใใจใไธใใ้ฃใใจใใใใจใ็ใใใใใใ่ฃๅกซใใใใจใฏ็ใใชใใใจใใใใจใฏๆใ็ซใใชใ | fact1: ยฌ({AA} & ยฌ{AB}) -> {B} fact2: ยฌ(ยฌ{A} & {B}) -> ยฌ{B} fact3: ยฌ{A} -> ยฌ({AA} & ยฌ{AB}) | [] | [] | ่ปขใณๆใใจใใใใจใฏ่ตทใใใชใ | ยฌ{B} | [] | 6 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใไปฎใซใไธใใ้ฃใใจใใใใจใฏ็บ็ใใใใใฉ่ฃๅกซใใใใจใฏ่ตทใใใชใใใจใใใใจใฏ้้ใใงใใใจใใใฐ่ปขใณๆใใจใใใใจใ็ใใ fact2: ใใไปฎใซใใฝใใฝใญLv.68ไบไปถใ่ตทใใชใใใฉ่ปขใณๆใใจใใใใจใฏ็บ็ใใใใจใใใใจใฏ้้ใฃใฆใใใจใใใฐ่ปขใณๆใใจใใใใจใฏ็บ็ใใชใ fact3: ไปฎใซใฝใใฝใญLv.68ไบไปถใฏ็บ็ใใชใใจใใใจใไธใใ้ฃใใจใใใใจใ็ใใใใใใ่ฃๅกซใใใใจใฏ็ใใชใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ่ปขใณๆใใจใใใใจใฏ่ตทใใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: ยฌ({AA} & ยฌ{AB}) -> {B} fact2: ยฌ(ยฌ{A} & {B}) -> ยฌ{B} fact3: ยฌ{A} -> ยฌ({AA} & ยฌ{AB}) ; $hypothesis$ = ยฌ{B} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฟใซใใฟใLv.11ไบไปถใใใณ่ฃไปใใใใจไธกๆนใจใใ็ใใใใจใใใใจใฏๅใ ใใจใใใใจใฏๆใ็ซใค | ยฌ({B} & {C}) | fact1: ใใฝใใฝใLv.80ไบไปถใ่ตทใใใใจใใใใจใฏ็ขบใใงใใ fact2: ใฝใใฝใLv.24ไบไปถใ่ตทใใ fact3: ใใคใใฃใใใใใจใใใใจใใใณ็บ็ใ้ฃใใจใใใใจใ็ใใ fact4: ๅคฉ็ใใใใจใใใใจใ่ตทใใ fact5: ่ฃไปใใใใจใ่ตทใใ fact6: ๆๅณๆทฑใใจใใใใจใ่ตทใใใใฟใซใใฟใLv.11ไบไปถใ็บ็ใใ fact7: ใฝใกใใฝใLv.27ไบไปถใ็ใใ | fact1: {BK} fact2: {FG} fact3: ({CN} & {AI}) fact4: {S} fact5: {C} fact6: ({A} & {B}) fact7: {ED} | [
"fact6 -> int1: ใฟใซใใฟใLv.11ไบไปถใ่ตทใใ; int1 & fact5 -> hypothesis;"
] | [
"fact6 -> int1: {B}; int1 & fact5 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใฝใใฝใLv.80ไบไปถใ่ตทใใใใจใใใใจใฏ็ขบใใงใใ fact2: ใฝใใฝใLv.24ไบไปถใ่ตทใใ fact3: ใใคใใฃใใใใใจใใใใจใใใณ็บ็ใ้ฃใใจใใใใจใ็ใใ fact4: ๅคฉ็ใใใใจใใใใจใ่ตทใใ fact5: ่ฃไปใใใใจใ่ตทใใ fact6: ๆๅณๆทฑใใจใใใใจใ่ตทใใใใฟใซใใฟใLv.11ไบไปถใ็บ็ใใ fact7: ใฝใกใใฝใLv.27ไบไปถใ็ใใ ; $hypothesis$ = ใใใฟใซใใฟใLv.11ไบไปถใใใณ่ฃไปใใใใจไธกๆนใจใใ็ใใใใจใใใใจใฏๅใ ใใจใใใใจใฏๆใ็ซใค ; $proof$ = | fact6 -> int1: ใฟใซใใฟใLv.11ไบไปถใ่ตทใใ; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {BK} fact2: {FG} fact3: ({CN} & {AI}) fact4: {S} fact5: {C} fact6: ({A} & {B}) fact7: {ED} ; $hypothesis$ = ยฌ({B} & {C}) ; $proof$ = | fact6 -> int1: {B}; int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ใฃๆฉใใจใใใใจใฏ็ใใชใ | ยฌ{A} | fact1: ใใใใใใใใจใใใใจใฏ็ใใชใใจใใใไฟใฃใฝใใจใใใใจใใใณใฃๆฉใใจใใใใจใ่ตทใใ fact2: ๆญฉใ่พใใจใใใใจใ่ตทใใใฐใฃๆฉใใจใใใใจใฏ่ตทใใใชใ fact3: ใใพใใพใLv.6ไบไปถใ็บ็ใใใๆญฉใ่พใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact4: ใใพใใพใLv.6ไบไปถใ็ใใใใฉๆญฉใ่พใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏ่ชคใฃใฆใใ fact5: ไปฎใซใใพใใพใLv.6ไบไปถใ็ใใใใใใๆญฉใ่พใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใชใใฐใฃๆฉใใจใใใใจใฏ่ตทใใใชใ | fact1: ยฌ{C} -> ({B} & {A}) fact2: {AB} -> ยฌ{A} fact3: ยฌ({AA} & {AB}) fact4: ยฌ({AA} & ยฌ{AB}) fact5: ยฌ({AA} & ยฌ{AB}) -> ยฌ{A} | [
"fact4 -> int1: ใใพใใพใLv.6ไบไปถใ็ใใใใฉๆญฉใ่พใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏ่ชคใฃใฆใใ; int1 & fact5 -> hypothesis;"
] | [
"fact4 -> int1: ยฌ({AA} & ยฌ{AB}); int1 & fact5 -> hypothesis;"
] | ใฃๆฉใใจใใใใจใ่ตทใใ | {A} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใใใใใใใจใใใใจใฏ็ใใชใใจใใใไฟใฃใฝใใจใใใใจใใใณใฃๆฉใใจใใใใจใ่ตทใใ fact2: ๆญฉใ่พใใจใใใใจใ่ตทใใใฐใฃๆฉใใจใใใใจใฏ่ตทใใใชใ fact3: ใใพใใพใLv.6ไบไปถใ็บ็ใใใๆญฉใ่พใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact4: ใใพใใพใLv.6ไบไปถใ็ใใใใฉๆญฉใ่พใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏ่ชคใฃใฆใใ fact5: ไปฎใซใใพใใพใLv.6ไบไปถใ็ใใใใใใๆญฉใ่พใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใชใใฐใฃๆฉใใจใใใใจใฏ่ตทใใใชใ ; $hypothesis$ = ใฃๆฉใใจใใใใจใฏ็ใใชใ ; $proof$ = | fact4 -> int1: ใใพใใพใLv.6ไบไปถใ็ใใใใฉๆญฉใ่พใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏ่ชคใฃใฆใใ; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{C} -> ({B} & {A}) fact2: {AB} -> ยฌ{A} fact3: ยฌ({AA} & {AB}) fact4: ยฌ({AA} & ยฌ{AB}) fact5: ยฌ({AA} & ยฌ{AB}) -> ยฌ{A} ; $hypothesis$ = ยฌ{A} ; $proof$ = | fact4 -> int1: ยฌ({AA} & ยฌ{AB}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ใใฎใพใใพใซใLv.57ใฏใญใผใๅบๆฅใ | {B}{b} | fact1: ใไฝใใใฎใขใณในใฟใผใฏ่ฟไปใๆใใชใใใฉ่ฆไปใ้ฃใใใจใใใใจใฏๆใ็ซใใชใใจใใใใญใผใๅบๆฅใใจใใใใจใฏใชใ fact2: ใใใใใฎใฟใใฟใญLv.10ใ่ฟไปใๆใใชใใฐใใฎใพใใพใซใLv.57ใฏใญใผใๅบๆฅใ fact3: ใใฎใฟใใฟใญLv.10ใฏ่ฆไปใ้ฃใ fact4: ใใไปฎใซใใฎใพใใพใซใLv.57ใฏ่ฟไปใๆใใจใใใใใใฎใฟใใฟใญLv.10ใฏใญใผใๅบๆฅใใใจใใใใจใฏๆใ็ซใค fact5: ใใใใใฎใฟใใฟใญLv.10ใใญใผใๅบๆฅใใจใใใฐใใฎใพใใพใซใLv.57ใฏ่ฟไปใๆใ | fact1: (x): ยฌ(ยฌ{A}x & {C}x) -> ยฌ{B}x fact2: {A}{a} -> {B}{b} fact3: {C}{a} fact4: {A}{b} -> {B}{a} fact5: {B}{a} -> {A}{b} | [] | [] | ใใฎใพใใพใซใLv.57ใฏใญใผใๅบๆฅใใจใใใใจใฏใชใ | ยฌ{B}{b} | [
"fact6 -> int1: ไปฎใซใใใฎใพใใพใซใLv.57ใฏ่ฟไปใๆใใชใไธๆนใง่ฆไปใ้ฃใใใจใใใใจใฏๆใ็ซใใชใใจใใใใใฎใพใใพใซใLv.57ใฏใญใผใๅบๆฅใชใ;"
] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใไฝใใใฎใขใณในใฟใผใฏ่ฟไปใๆใใชใใใฉ่ฆไปใ้ฃใใใจใใใใจใฏๆใ็ซใใชใใจใใใใญใผใๅบๆฅใใจใใใใจใฏใชใ fact2: ใใใใใฎใฟใใฟใญLv.10ใ่ฟไปใๆใใชใใฐใใฎใพใใพใซใLv.57ใฏใญใผใๅบๆฅใ fact3: ใใฎใฟใใฟใญLv.10ใฏ่ฆไปใ้ฃใ fact4: ใใไปฎใซใใฎใพใใพใซใLv.57ใฏ่ฟไปใๆใใจใใใใใใฎใฟใใฟใญLv.10ใฏใญใผใๅบๆฅใใใจใใใใจใฏๆใ็ซใค fact5: ใใใใใฎใฟใใฟใญLv.10ใใญใผใๅบๆฅใใจใใใฐใใฎใพใใพใซใLv.57ใฏ่ฟไปใๆใ ; $hypothesis$ = ใใฎใพใใพใซใLv.57ใฏใญใผใๅบๆฅใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ยฌ(ยฌ{A}x & {C}x) -> ยฌ{B}x fact2: {A}{a} -> {B}{b} fact3: {C}{a} fact4: {A}{b} -> {B}{a} fact5: {B}{a} -> {A}{b} ; $hypothesis$ = {B}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎใทใกใใทใLv.92ใฏไปฃๅผใใใใใใไธธใใใจใใใใจใฏๅใงใใ | ยฌ({B}{b} & {C}{b}) | fact1: ใใฎใพใกใใพใLv.80ใ่ฆๅบใ ใ้ฃใใชใใใฎใทใกใใทใLv.92ใฏไปฃๅผใใ fact2: ใใฎใทใกใใทใLv.92ใฏไธธใ fact3: ใใฎใดใซใใดใชLv.27ใฏ้ใใ่ฆๅบใ ใ้ฃใ fact4: ไปฎใซใใฎใพใกใใพใLv.80ใไธธใใชใใชใใใฎใใฎใใกใ
Lv.87ใฏไปฃๅผใใใ่ฆๅบใ ใ้ฃใ fact5: ใใฎใพใกใใพใLv.80ใฏ่ฆๅบใ ใ้ฃใ | fact1: {A}{a} -> {B}{b} fact2: {C}{b} fact3: ({BM}{ei} & {A}{ei}) fact4: ยฌ{C}{a} -> ({B}{ds} & {A}{ds}) fact5: {A}{a} | [
"fact1 & fact5 -> int1: ใใฎใทใกใใทใLv.92ใฏไปฃๅผใใ; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: {B}{b}; int1 & fact2 -> hypothesis;"
] | ใใฎใใฎใใกใ
Lv.87ใฏไปฃๅผใใ | {B}{ds} | [] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใพใกใใพใLv.80ใ่ฆๅบใ ใ้ฃใใชใใใฎใทใกใใทใLv.92ใฏไปฃๅผใใ fact2: ใใฎใทใกใใทใLv.92ใฏไธธใ fact3: ใใฎใดใซใใดใชLv.27ใฏ้ใใ่ฆๅบใ ใ้ฃใ fact4: ไปฎใซใใฎใพใกใใพใLv.80ใไธธใใชใใชใใใฎใใฎใใกใ
Lv.87ใฏไปฃๅผใใใ่ฆๅบใ ใ้ฃใ fact5: ใใฎใพใกใใพใLv.80ใฏ่ฆๅบใ ใ้ฃใ ; $hypothesis$ = ใใใฎใทใกใใทใLv.92ใฏไปฃๅผใใใใใใไธธใใใจใใใใจใฏๅใงใใ ; $proof$ = | fact1 & fact5 -> int1: ใใฎใทใกใใทใLv.92ใฏไปฃๅผใใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {C}{b} fact3: ({BM}{ei} & {A}{ei}) fact4: ยฌ{C}{a} -> ({B}{ds} & {A}{ds}) fact5: {A}{a} ; $hypothesis$ = ยฌ({B}{b} & {C}{b}) ; $proof$ = | fact1 & fact5 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใๅใใฃใฝใใจใใใใจใฏ็บ็ใใชใใฆใใฎไธใใฎใใชLv.48ไบไปถใฏ็ใใชใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ(ยฌ{A} & ยฌ{B}) | fact1: ใไปใ้ใใใใจใใใณ็พๅงใใใใจใใใใจใ็บ็ใใใใจใใใใจใฏ่ชคใใ fact2: ใใไปฎใซใใฎใใชLv.48ไบไปถใ็ใใใจใใใๅใใฃใฝใใจใใใใจใฏ่ตทใใชใใใใพใใซๅพด็จใใใใจใฏ่ตทใใใชใ fact3: ไปฎใซใ็พใใๆใใจใใใใจใ็ใใใใจใใใใจใฏ่ชคใฃใฆใใชใใจใใใฐใๅใใฃใฝใใจใใใใจใฏ่ตทใใชใใใใฎใใชLv.48ไบไปถใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ fact4: ๅใใฃใฝใใจใใใใจใฏ่ตทใใใชใ fact5: ใใใไปใ้ใใใใจใ็บ็ใใใใใใซ็พๅงใใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใฎใใชLv.48ไบไปถใฏ็ใใชใ fact6: ใใกใใใซใLv.53ไบไปถใฏใใดใใดใญLv.24ไบไปถใฏ็ใใชใใใจใใใใจใซ้ฒใใใ | fact1: ยฌ({AA} & {AB}) fact2: {B} -> (ยฌ{A} & ยฌ{FS}) fact3: {C} -> ยฌ(ยฌ{A} & ยฌ{B}) fact4: ยฌ{A} fact5: ยฌ({AA} & {AB}) -> ยฌ{B} fact6: ยฌ{AD} -> ยฌ{GG} | [
"fact5 & fact1 -> int1: ใใฎใใชLv.48ไบไปถใฏ็ใใชใ; int1 & fact4 -> hypothesis;"
] | [
"fact5 & fact1 -> int1: ยฌ{B}; int1 & fact4 -> hypothesis;"
] | ๅพด็จใใใใจใฏ่ตทใใใชใ | ยฌ{FS} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใไปใ้ใใใใจใใใณ็พๅงใใใใจใใใใจใ็บ็ใใใใจใใใใจใฏ่ชคใใ fact2: ใใไปฎใซใใฎใใชLv.48ไบไปถใ็ใใใจใใใๅใใฃใฝใใจใใใใจใฏ่ตทใใชใใใใพใใซๅพด็จใใใใจใฏ่ตทใใใชใ fact3: ไปฎใซใ็พใใๆใใจใใใใจใ็ใใใใจใใใใจใฏ่ชคใฃใฆใใชใใจใใใฐใๅใใฃใฝใใจใใใใจใฏ่ตทใใชใใใใฎใใชLv.48ไบไปถใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ fact4: ๅใใฃใฝใใจใใใใจใฏ่ตทใใใชใ fact5: ใใใไปใ้ใใใใจใ็บ็ใใใใใใซ็พๅงใใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใฎใใชLv.48ไบไปถใฏ็ใใชใ fact6: ใใกใใใซใLv.53ไบไปถใฏใใดใใดใญLv.24ไบไปถใฏ็ใใชใใใจใใใใจใซ้ฒใใใ ; $hypothesis$ = ใๅใใฃใฝใใจใใใใจใฏ็บ็ใใชใใฆใใฎไธใใฎใใชLv.48ไบไปถใฏ็ใใชใใใจใใใใจใฏๆใ็ซใใชใ ; $proof$ = | fact5 & fact1 -> int1: ใใฎใใชLv.48ไบไปถใฏ็ใใชใ; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ({AA} & {AB}) fact2: {B} -> (ยฌ{A} & ยฌ{FS}) fact3: {C} -> ยฌ(ยฌ{A} & ยฌ{B}) fact4: ยฌ{A} fact5: ยฌ({AA} & {AB}) -> ยฌ{B} fact6: ยฌ{AD} -> ยฌ{GG} ; $hypothesis$ = ยฌ(ยฌ{A} & ยฌ{B}) ; $proof$ = | fact5 & fact1 -> int1: ยฌ{B}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ใใฝใใฝใLv.66ไบไปถใฏ็บ็ใใชใใใจใใใใจใฏ็ๅฎใ | ยฌ{C} | fact1: ใพใใพใLv.83ไบไปถใ่ตทใใ fact2: ใใซใใใซใLv.3ไบไปถใ็ใใ fact3: ใใซใ
ใใLv.94ไบไปถใ่ตทใใ fact4: ใใซใ
ใใLv.94ไบไปถใใใณใฝใใฝใLv.66ไบไปถใ่ตทใใใฏใพใใพใLv.83ไบไปถใฏ่ตทใใใชใใจใใใใจใซ็ฑๆฅใใ fact5: ใฝใใฝใLv.66ไบไปถใฏใใใซใ
ใใLv.94ไบไปถใใใณใพใใพใLv.83ไบไปถใ็ใใใใจใใใใจใซ้ปใพใใ fact6: ใใกใใใLv.20ไบไปถใ็บ็ใใ | fact1: {B} fact2: {DB} fact3: {A} fact4: ยฌ{B} -> ({A} & {C}) fact5: ({A} & {B}) -> ยฌ{C} fact6: {D} | [
"fact3 & fact1 -> int1: ใใซใ
ใใLv.94ไบไปถใใใณใพใใพใLv.83ไบไปถไธกๆนใจใใ่ตทใใ; int1 & fact5 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ({A} & {B}); int1 & fact5 -> hypothesis;"
] | ใฝใใฝใLv.66ไบไปถใ็บ็ใใ | {C} | [] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใพใใพใLv.83ไบไปถใ่ตทใใ fact2: ใใซใใใซใLv.3ไบไปถใ็ใใ fact3: ใใซใ
ใใLv.94ไบไปถใ่ตทใใ fact4: ใใซใ
ใใLv.94ไบไปถใใใณใฝใใฝใLv.66ไบไปถใ่ตทใใใฏใพใใพใLv.83ไบไปถใฏ่ตทใใใชใใจใใใใจใซ็ฑๆฅใใ fact5: ใฝใใฝใLv.66ไบไปถใฏใใใซใ
ใใLv.94ไบไปถใใใณใพใใพใLv.83ไบไปถใ็ใใใใจใใใใจใซ้ปใพใใ fact6: ใใกใใใLv.20ไบไปถใ็บ็ใใ ; $hypothesis$ = ใใฝใใฝใLv.66ไบไปถใฏ็บ็ใใชใใใจใใใใจใฏ็ๅฎใ ; $proof$ = | fact3 & fact1 -> int1: ใใซใ
ใใLv.94ไบไปถใใใณใพใใพใLv.83ไบไปถไธกๆนใจใใ่ตทใใ; int1 & fact5 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: {DB} fact3: {A} fact4: ยฌ{B} -> ({A} & {C}) fact5: ({A} & {B}) -> ยฌ{C} fact6: {D} ; $hypothesis$ = ยฌ{C} ; $proof$ = | fact3 & fact1 -> int1: ({A} & {B}); int1 & fact5 -> hypothesis; __PROVED__ |
0.3 | ใใฎใดใใดใLv.12ใฏใใฉใใใฉใใใใชใ | ยฌ{C}{b} | fact1: ไปฎใซใใฎใฝใใฝใLv.2ใใฏใใใชใใใใใใฏใใฉใใใฉใใใใใใใใฏไธกๆนใจใใงใใใชใใใฎใดใใดใLv.12ใฏๅ่ญฐใใจใใใใจใฏใชใ fact2: ใใฎใฝใใฝใLv.2ใฏๅ่ญฐใ fact3: ใใใใใฎใฝใใฝใLv.2ใๅ่ญฐใใใใใใฏใใใชใใไธกๆนใจใใงใใใจใใใฐใใฎใดใใดใLv.12ใฏใใฉใใใฉใใใใชใ fact4: ใใฎใดใใดใLv.12ใใฏใใใชใใใพใใฏๅ่ญฐใใจใใใจใใฎใฝใใฝใLv.2ใฏใใฉใใใฉใใใใชใ | fact1: ({B}{a} v {C}{a}) -> ยฌ{A}{b} fact2: {A}{a} fact3: ({A}{a} v {B}{a}) -> ยฌ{C}{b} fact4: ({B}{b} v {A}{b}) -> ยฌ{C}{a} | [
"fact2 -> int1: ใใฎใฝใใฝใLv.2ใฏๅ่ญฐใใใใใใฏใใใฏใฏใใใชใ; int1 & fact3 -> hypothesis;"
] | [
"fact2 -> int1: ({A}{a} v {B}{a}); int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ไปฎใซใใฎใฝใใฝใLv.2ใใฏใใใชใใใใใใฏใใฉใใใฉใใใใใใใใฏไธกๆนใจใใงใใใชใใใฎใดใใดใLv.12ใฏๅ่ญฐใใจใใใใจใฏใชใ fact2: ใใฎใฝใใฝใLv.2ใฏๅ่ญฐใ fact3: ใใใใใฎใฝใใฝใLv.2ใๅ่ญฐใใใใใใฏใใใชใใไธกๆนใจใใงใใใจใใใฐใใฎใดใใดใLv.12ใฏใใฉใใใฉใใใใชใ fact4: ใใฎใดใใดใLv.12ใใฏใใใชใใใพใใฏๅ่ญฐใใจใใใจใใฎใฝใใฝใLv.2ใฏใใฉใใใฉใใใใชใ ; $hypothesis$ = ใใฎใดใใดใLv.12ใฏใใฉใใใฉใใใใชใ ; $proof$ = | fact2 -> int1: ใใฎใฝใใฝใLv.2ใฏๅ่ญฐใใใใใใฏใใใฏใฏใใใชใ; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({B}{a} v {C}{a}) -> ยฌ{A}{b} fact2: {A}{a} fact3: ({A}{a} v {B}{a}) -> ยฌ{C}{b} fact4: ({B}{b} v {A}{b}) -> ยฌ{C}{a} ; $hypothesis$ = ยฌ{C}{b} ; $proof$ = | fact2 -> int1: ({A}{a} v {B}{a}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใใฎใดใใดใฎLv.67ใฏๅๆง็ฏๅบๆฅใใใใคใใใฏ็ธฎๅฐ่กจ็คบใใใใจใใใใจใฏ้้ใฃใฆใใ | ยฌ({B}{b} & {A}{b}) | fact1: ใใใใใฎใฝใใฝใLv.59ใฏๅบใใใชใใใฉ็ฒใ้ฃใใชใใใใฎใดใใดใฎLv.67ใฏๅๆง็ฏๅบๆฅใใใจใใใใจใฏไบๅฎใงใใ fact2: ใใฎใดใใดใฎLv.67ใฏ็ธฎๅฐ่กจ็คบใใ fact3: ใใใฎใฝใใฝใLv.59ใฏๅบใใใชใไธๆนใงใใใฏ็ฒใ้ฃใใใจใใใใจใฏๆญฃใใ fact4: ใใใใใฎใดใใดใฎLv.67ใ็ธฎๅฐ่กจ็คบใใใใใฎไธๅบใใใจใใใจใใฎใฝใใฝใLv.59ใฏๅๆง็ฏๅบๆฅใ | fact1: (ยฌ{AA}{a} & {AB}{a}) -> {B}{b} fact2: {A}{b} fact3: (ยฌ{AA}{a} & {AB}{a}) fact4: ({A}{b} & {AA}{b}) -> {B}{a} | [
"fact1 & fact3 -> int1: ใใฎใดใใดใฎLv.67ใฏๅๆง็ฏๅบๆฅใ; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใใใใฎใฝใใฝใLv.59ใฏๅบใใใชใใใฉ็ฒใ้ฃใใชใใใใฎใดใใดใฎLv.67ใฏๅๆง็ฏๅบๆฅใใใจใใใใจใฏไบๅฎใงใใ fact2: ใใฎใดใใดใฎLv.67ใฏ็ธฎๅฐ่กจ็คบใใ fact3: ใใใฎใฝใใฝใLv.59ใฏๅบใใใชใไธๆนใงใใใฏ็ฒใ้ฃใใใจใใใใจใฏๆญฃใใ fact4: ใใใใใฎใดใใดใฎLv.67ใ็ธฎๅฐ่กจ็คบใใใใใฎไธๅบใใใจใใใจใใฎใฝใใฝใLv.59ใฏๅๆง็ฏๅบๆฅใ ; $hypothesis$ = ใใใฎใดใใดใฎLv.67ใฏๅๆง็ฏๅบๆฅใใใใคใใใฏ็ธฎๅฐ่กจ็คบใใใใจใใใใจใฏ้้ใฃใฆใใ ; $proof$ = | fact1 & fact3 -> int1: ใใฎใดใใดใฎLv.67ใฏๅๆง็ฏๅบๆฅใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (ยฌ{AA}{a} & {AB}{a}) -> {B}{b} fact2: {A}{b} fact3: (ยฌ{AA}{a} & {AB}{a}) fact4: ({A}{b} & {AA}{b}) -> {B}{a} ; $hypothesis$ = ยฌ({B}{b} & {A}{b}) ; $proof$ = | fact1 & fact3 -> int1: {B}{b}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใฟใกใใฟใซใ
Lv.18ใฏ่ซซ่จใใ | {C}{a} | fact1: ใใฎใฟใฎใฟใฎLv.18ใใใฃใใชใใจใใใจใใใฏ่ฅใ
ใใ fact2: ใใฎใฟใฎใฟใฎLv.18ใฏใใฟใใใใใซใใฃใใชใ fact3: ใใฎใฟใซใฟใLv.67ใฏใถใๆฎดใใ่ฅใ
ใใ fact4: ใใไปฎใซใใฎใฟใกใใฟใซใ
Lv.18ใ่ฃๅฎใๅใใจใใใจใใใฏ่ซซ่จใใ fact5: ใใฎใฟใกใใฟใซใ
Lv.18ใฏ่ฅใ
ใใ | fact1: {D}{b} -> {A}{b} fact2: ({E}{b} & {D}{b}) fact3: ({AT}{gk} & {A}{gk}) fact4: {B}{a} -> {C}{a} fact5: {A}{a} | [] | [] | ใใฎใฟใกใใฟใซใ
Lv.18ใฏ่ซซ่จใใชใ | ยฌ{C}{a} | [
"fact7 -> int1: ใใฎใฟใฎใฟใฎLv.18ใฏใใฃใใชใ; fact6 & int1 -> int2: ใใฎใฟใฎใฟใฎLv.18ใฏ่ฅใ
ใใ;"
] | 5 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใฎใฟใฎใฟใฎLv.18ใใใฃใใชใใจใใใจใใใฏ่ฅใ
ใใ fact2: ใใฎใฟใฎใฟใฎLv.18ใฏใใฟใใใใใซใใฃใใชใ fact3: ใใฎใฟใซใฟใLv.67ใฏใถใๆฎดใใ่ฅใ
ใใ fact4: ใใไปฎใซใใฎใฟใกใใฟใซใ
Lv.18ใ่ฃๅฎใๅใใจใใใจใใใฏ่ซซ่จใใ fact5: ใใฎใฟใกใใฟใซใ
Lv.18ใฏ่ฅใ
ใใ ; $hypothesis$ = ใใฎใฟใกใใฟใซใ
Lv.18ใฏ่ซซ่จใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {D}{b} -> {A}{b} fact2: ({E}{b} & {D}{b}) fact3: ({AT}{gk} & {A}{gk}) fact4: {B}{a} -> {C}{a} fact5: {A}{a} ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใฝใใฝใLv.55ใฏ้้ขๅบๆฅใ | {A}{a} | fact1: ใใในใฆใฎใขใณในใฟใผใฏ้้ขๅบๆฅใใใจใใใใจใฏๆใ็ซใค | fact1: (x): {A}x | [
"fact1 -> int1: ใใในใฆใฎใขใณในใฟใผใฏ้้ขๅบๆฅใใใจใใใใจใฏๆใ็ซใค; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใใในใฆใฎใขใณในใฟใผใฏ้้ขๅบๆฅใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใฎใฝใใฝใLv.55ใฏ้้ขๅบๆฅใ ; $proof$ = | fact1 -> int1: ใใในใฆใฎใขใณในใฟใผใฏ้้ขๅบๆฅใใใจใใใใจใฏๆใ็ซใค; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใพใใพใชLv.86ใฏๅฆๆ็กใใชใ | ยฌ{C}{a} | fact1: ใใไปฎใซไฝใใใฎใขใณในใฟใผใฏ่ฆใ้ฃใใจใใใจใ้ปๅฎณใใใใจใใใใจใฏๆใ็ซใค fact2: ใใใใใฎใพใใพใชLv.86ใ่ฆใ้ฃใใชใๅฆๆ็กใ fact3: ใใใใฎใพใใพใชLv.86ใฏ้ปๅฎณใใใจใใใจใ่ฆใ้ฃใใใจใใใใจใฏ้้ใฃใฆใใชใ | fact1: (x): {B}x -> {A}x fact2: {B}{a} -> {C}{a} fact3: {A}{a} -> {B}{a} | [] | [] | ใใฎใใใใญLv.64ใฏ้ปๅฎณใใ | {A}{df} | [
"fact4 -> int1: ใใไปฎใซใใฎใใใใญLv.64ใฏ่ฆใ้ฃใใจใใใใ้ปๅฎณใใใใจใใใใจใฏ็ๅฎใ ;"
] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใไปฎใซไฝใใใฎใขใณในใฟใผใฏ่ฆใ้ฃใใจใใใจใ้ปๅฎณใใใใจใใใใจใฏๆใ็ซใค fact2: ใใใใใฎใพใใพใชLv.86ใ่ฆใ้ฃใใชใๅฆๆ็กใ fact3: ใใใใฎใพใใพใชLv.86ใฏ้ปๅฎณใใใจใใใจใ่ฆใ้ฃใใใจใใใใจใฏ้้ใฃใฆใใชใ ; $hypothesis$ = ใใฎใพใใพใชLv.86ใฏๅฆๆ็กใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {B}x -> {A}x fact2: {B}{a} -> {C}{a} fact3: {A}{a} -> {B}{a} ; $hypothesis$ = ยฌ{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใๆๅฐใใใ็ใใใใขใณในใฟใผใฏใใใใจใใใใจใฏ้้ใฃใฆใใ | ยฌ((Ex): ({A}x & {B}x)) | fact1: ไฝใใใฎใขใณในใฟใผใฏ็ใใ fact2: ใใฎใฟใใฟใLv.0ใฏ่ใๆใ fact3: ใใฎใทใใทใซใLv.14ใฏ็ใใใใใพใใซๅพกๅชใใ fact4: ใใฎใฟใใฟใLv.0ใฏๆๅฐใใ fact5: ใๆๅฐใใใใขใณในใฟใผใฏใใ fact6: ใ็็ใใใใใๆชใใใขใณในใฟใผใฏใใ | fact1: (Ex): {B}x fact2: {EK}{a} fact3: ({B}{fr} & {E}{fr}) fact4: {A}{a} fact5: (Ex): {A}x fact6: (Ex): ({FI}x & {IM}x) | [] | [] | ใใฎใทใใทใซใLv.14ใฏ็ใใใๅฅฅๅบใใ | ({B}{fr} & {L}{fr}) | [
"fact7 -> int1: ใใใฎใทใใทใซใLv.14ใฏ็ใใใใจใใใใจใฏ็ขบใใ ;"
] | 4 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ไฝใใใฎใขใณในใฟใผใฏ็ใใ fact2: ใใฎใฟใใฟใLv.0ใฏ่ใๆใ fact3: ใใฎใทใใทใซใLv.14ใฏ็ใใใใใพใใซๅพกๅชใใ fact4: ใใฎใฟใใฟใLv.0ใฏๆๅฐใใ fact5: ใๆๅฐใใใใขใณในใฟใผใฏใใ fact6: ใ็็ใใใใใๆชใใใขใณในใฟใผใฏใใ ; $hypothesis$ = ใใๆๅฐใใใ็ใใใใขใณในใฟใผใฏใใใใจใใใใจใฏ้้ใฃใฆใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (Ex): {B}x fact2: {EK}{a} fact3: ({B}{fr} & {E}{fr}) fact4: {A}{a} fact5: (Ex): {A}x fact6: (Ex): ({FI}x & {IM}x) ; $hypothesis$ = ยฌ((Ex): ({A}x & {B}x)) ; $proof$ = | __UNKNOWN__ |
0.3 | ใพใซใใพใซใ
Lv.10ไบไปถใ็บ็ใใ | {B} | fact1: ๅใใใใจใใใใจใ่ตทใใ fact2: ใพใซใใพใซใ
Lv.10ไบไปถใฏๅ ชใ้ฃใใจใใใใจใซๅผใ่ตทใใใใ fact3: ใใใฃใคใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใฏใใฒใใใใใใใจใ่ตทใใใใจใใใใจใซ้ปๆญขใใใ fact4: ใๅ ชใ้ฃใใจใใใใจใ่ตทใใใใจใใใใจใฏ็ขบใใ fact5: ๅพก่ฉณใใใจใใใใจใ่ตทใใ | fact1: {EO} fact2: {A} -> {B} fact3: {FR} -> {IF} fact4: {A} fact5: {AJ} | [
"fact4 -> int1: ใๅ ชใ้ฃใใจใใใใจใ่ตทใใใใจใใใใจใฏ็ขบใใ ; int1 & fact2 -> hypothesis;"
] | [
"fact4 -> int1: {A}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | PROVED | null | PROVED | null | $facts$ = fact1: ๅใใใใจใใใใจใ่ตทใใ fact2: ใพใซใใพใซใ
Lv.10ไบไปถใฏๅ ชใ้ฃใใจใใใใจใซๅผใ่ตทใใใใ fact3: ใใใฃใคใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใฏใใฒใใใใใใใจใ่ตทใใใใจใใใใจใซ้ปๆญขใใใ fact4: ใๅ ชใ้ฃใใจใใใใจใ่ตทใใใใจใใใใจใฏ็ขบใใ fact5: ๅพก่ฉณใใใจใใใใจใ่ตทใใ ; $hypothesis$ = ใพใซใใพใซใ
Lv.10ไบไปถใ็บ็ใใ ; $proof$ = | fact4 -> int1: ใๅ ชใ้ฃใใจใใใใจใ่ตทใใใใจใใใใจใฏ็ขบใใ ; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {EO} fact2: {A} -> {B} fact3: {FR} -> {IF} fact4: {A} fact5: {AJ} ; $hypothesis$ = {B} ; $proof$ = | fact4 -> int1: {A}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ใๆใใจใใใใจใฏ่ตทใใชใ | ยฌ{C} | fact1: ใฟใใฟใซใLv.53ไบไปถใ็บ็ใใชใใจใใใใจใฏใพใกใ
ใพใซLv.94ไบไปถใใใใใฏ้ใๆใใจใใใใจใฏใใฃใใใ fact2: ใทใซใใทใLv.52ไบไปถใ่ตทใใ fact3: ใใใใใฎใใกใLv.90ไบไปถใใใใใฏใดใใดใLv.26ไบไปถใใใใใฏไธกๆนใจใใ่ตทใใใจใใใใๆใใจใใใใจใฏ่ตทใใใชใ fact4: ใใฎใใกใLv.90ไบไปถใฏใใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใ้ปใ fact5: ใดใใดใLv.26ไบไปถใ่ตทใใ fact6: ใใใ่ใใใจใฏ็บ็ใใชใใชใใใฎใใกใLv.90ไบไปถใใใณใดใใดใLv.26ไบไปถใ็ใใ fact7: ใใฎใใกใLv.90ไบไปถใฏใใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใๆใ | fact1: ({IU} v {IJ}) -> ยฌ{DQ} fact2: {EE} fact3: ({A} v {B}) -> ยฌ{C} fact4: {A} -> {C} fact5: {B} fact6: ยฌ{D} -> ({A} & {B}) fact7: {A} -> ยฌ{C} | [
"fact5 -> int1: ใใฎใใกใLv.90ไบไปถใใดใใดใLv.26ไบไปถใ็ใใ; int1 & fact3 -> hypothesis;"
] | [
"fact5 -> int1: ({A} v {B}); int1 & fact3 -> hypothesis;"
] | ใๆใใจใใใใจใ็ใใ | {C} | [] | 7 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใฟใใฟใซใLv.53ไบไปถใ็บ็ใใชใใจใใใใจใฏใพใกใ
ใพใซLv.94ไบไปถใใใใใฏ้ใๆใใจใใใใจใฏใใฃใใใ fact2: ใทใซใใทใLv.52ไบไปถใ่ตทใใ fact3: ใใใใใฎใใกใLv.90ไบไปถใใใใใฏใดใใดใLv.26ไบไปถใใใใใฏไธกๆนใจใใ่ตทใใใจใใใใๆใใจใใใใจใฏ่ตทใใใชใ fact4: ใใฎใใกใLv.90ไบไปถใฏใใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใ้ปใ fact5: ใดใใดใLv.26ไบไปถใ่ตทใใ fact6: ใใใ่ใใใจใฏ็บ็ใใชใใชใใใฎใใกใLv.90ไบไปถใใใณใดใใดใLv.26ไบไปถใ็ใใ fact7: ใใฎใใกใLv.90ไบไปถใฏใใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใๆใ ; $hypothesis$ = ใๆใใจใใใใจใฏ่ตทใใชใ ; $proof$ = | fact5 -> int1: ใใฎใใกใLv.90ไบไปถใใดใใดใLv.26ไบไปถใ็ใใ; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: ({IU} v {IJ}) -> ยฌ{DQ} fact2: {EE} fact3: ({A} v {B}) -> ยฌ{C} fact4: {A} -> {C} fact5: {B} fact6: ยฌ{D} -> ({A} & {B}) fact7: {A} -> ยฌ{C} ; $hypothesis$ = ยฌ{C} ; $proof$ = | fact5 -> int1: ({A} v {B}); int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใฎใฟใกใใฟใซLv.59ใฏ็ตๅงใใใๅ ใใฆใใฉใใใฉใใใ | ({B}{a} & {A}{a}) | fact1: ใใฎใฟใกใใฟใซLv.59ใฏ็ตๅงใใ fact2: ๅซๅฆฌๆทฑใใจใใใใจใฏใชใใขใณในใฟใผใฏๅฎใใใใฉใใใฉใใใ fact3: ใใไปฎใซใใฎใฟใซใใฟใซLv.49ใๅผฑใใชใใจใใใๅซๅฆฌๆทฑใใชใใฆ็ฉๅใพใใ fact4: ใใฎใฟใกใใฟใซLv.59ใฏใใฉใใใฉใใใ | fact1: {B}{a} fact2: (x): ยฌ{D}x -> ({C}x & {A}x) fact3: ยฌ{F}{i} -> (ยฌ{D}{i} & {E}{i}) fact4: {A}{a} | [
"fact4 -> int1: ใใฎใฟใกใใฟใซLv.59ใฏใใฉใใใฉใใใ; int1 & fact1 -> hypothesis;"
] | [
"fact4 -> int1: {A}{a}; int1 & fact1 -> hypothesis;"
] | ใใฎใฟใซใใฟใซLv.49ใฏ็ตๅงใใ | {B}{i} | [
"fact5 -> int2: ไปฎใซใใฎใฟใซใใฟใซLv.49ใๅซๅฆฌๆทฑใใชใใจใใใๅฎใใใใฉใใใฉใใใ;"
] | 5 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใฎใฟใกใใฟใซLv.59ใฏ็ตๅงใใ fact2: ๅซๅฆฌๆทฑใใจใใใใจใฏใชใใขใณในใฟใผใฏๅฎใใใใฉใใใฉใใใ fact3: ใใไปฎใซใใฎใฟใซใใฟใซLv.49ใๅผฑใใชใใจใใใๅซๅฆฌๆทฑใใชใใฆ็ฉๅใพใใ fact4: ใใฎใฟใกใใฟใซLv.59ใฏใใฉใใใฉใใใ ; $hypothesis$ = ใใฎใฟใกใใฟใซLv.59ใฏ็ตๅงใใใๅ ใใฆใใฉใใใฉใใใ ; $proof$ = | fact4 -> int1: ใใฎใฟใกใใฟใซLv.59ใฏใใฉใใใฉใใใ; int1 & fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: {B}{a} fact2: (x): ยฌ{D}x -> ({C}x & {A}x) fact3: ยฌ{F}{i} -> (ยฌ{D}{i} & {E}{i}) fact4: {A}{a} ; $hypothesis$ = ({B}{a} & {A}{a}) ; $proof$ = | fact4 -> int1: {A}{a}; int1 & fact1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใใชใใLv.75ใฏๅ็ตไฟๅญใใ | {A}{a} | fact1: ๅ
จใฆใฎใขใณในใฟใผใฏๅ็ตไฟๅญใใ fact2: ใใใใใขใณในใฟใผใ้ทใฃใใใใใใใฎไธใใใฏ็็ฝใ | fact1: (x): {A}x fact2: (x): ({D}x & {C}x) | [
"fact1 -> int1: ๅ
จใฆใฎใขใณในใฟใผใฏๅ็ตไฟๅญใใ; int1 -> hypothesis;"
] | [
"fact1 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ๅ
จใฆใฎใขใณในใฟใผใฏๅผ่งฃใใพใใ | (x): {HN}x | [
"fact3 -> int2: ใใฎใใชใใLv.75ใฏ้ทใฃใใใใใ็็ฝใ; int2 -> int3: ใใใฎใใชใใLv.75ใฏ็็ฝใใใจใใใใจใฏ็ขบใใ ;"
] | 6 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ๅ
จใฆใฎใขใณในใฟใผใฏๅ็ตไฟๅญใใ fact2: ใใใใใขใณในใฟใผใ้ทใฃใใใใใใใฎไธใใใฏ็็ฝใ ; $hypothesis$ = ใใฎใใชใใLv.75ใฏๅ็ตไฟๅญใใ ; $proof$ = | fact1 -> int1: ๅ
จใฆใฎใขใณในใฟใผใฏๅ็ตไฟๅญใใ; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): {A}x fact2: (x): ({D}x & {C}x) ; $hypothesis$ = {A}{a} ; $proof$ = | fact1 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใดใซใดใLv.80ใฏๅฅฝใใใใชใใฆๆถผใใใจใใใใจใฏใชใ | (ยฌ{A}{a} & ยฌ{B}{a}) | fact1: ใใฎใดใซใดใLv.80ใฏไปๆน็กใไธๆนใงๅพก้ซใใชใ fact2: ใใใใใใขใณในใฟใผใ้ขใ้ฃใใชใใใใใใฏๅ่จบใใชใใจใใใใๆถผใใใชใใใจใใใใจใฏ็ขบใใงใใ fact3: ใใไปฎใซใใฎใดใซใดใLv.80ใ็ฅใใจใใใจใใฎใฟใญใฟใซใLv.87ใฏ็ฅใ fact4: ใใฎใดใซใดใLv.80ใไปๆน็กใใใใฉๅพก้ซใใชใใจใใใจๆถผใใใชใ fact5: ใใใชใซใใใใฎใขใณในใฟใผใ็ฅใใชใใใใฏ้ขใ้ฃใใชใใๅ่จบใใใจใใใใจใฏใชใใใใใใฏใฉใกใใใ fact6: ใใฎใดใซใดใLv.80ใฏๅฅฝใใใใจใใใใจใฏใชใ fact7: ใใใใฎใดใซใดใLv.80ใๅงฆใใใจใใใใใใฏ็ฅใ fact8: ใใใใชใซใใใใฎใขใณในใฟใผใฏ้ขใ้ฃใใจใใใใจใฏใชใใจใใใจใใใใฏๅฅฝใใใใชใใฆๆดใซๆถผใใใชใใใจใใใใจใฏๆใ็ซใใชใ | fact1: ({AA}{a} & ยฌ{AB}{a}) fact2: (x): (ยฌ{C}x v ยฌ{D}x) -> ยฌ{B}x fact3: {E}{a} -> {E}{gk} fact4: ({AA}{a} & ยฌ{AB}{a}) -> ยฌ{B}{a} fact5: (x): {E}x -> (ยฌ{C}x v ยฌ{D}x) fact6: ยฌ{A}{a} fact7: {F}{a} -> {E}{a} fact8: (x): ยฌ{C}x -> ยฌ(ยฌ{A}x & ยฌ{B}x) | [
"fact4 & fact1 -> int1: ใใฎใดใซใดใLv.80ใฏๆถผใใใชใ; int1 & fact6 -> hypothesis;"
] | [
"fact4 & fact1 -> int1: ยฌ{B}{a}; int1 & fact6 -> hypothesis;"
] | ใใใฎใดใซใดใLv.80ใฏๅฅฝใใใใชใใๆถผใใใชใใใจใใใใจใฏๅใ | ยฌ(ยฌ{A}{a} & ยฌ{B}{a}) | [
"fact9 -> int2: ใใใใฎใดใซใดใLv.80ใฏ้ขใ้ฃใใชใใจใใใใใใใฏๅฅฝใใใใจใใใใจใฏใชใใขใณในใฟใผใงใใๆถผใใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใ;"
] | 4 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใฎใดใซใดใLv.80ใฏไปๆน็กใไธๆนใงๅพก้ซใใชใ fact2: ใใใใใใขใณในใฟใผใ้ขใ้ฃใใชใใใใใใฏๅ่จบใใชใใจใใใใๆถผใใใชใใใจใใใใจใฏ็ขบใใงใใ fact3: ใใไปฎใซใใฎใดใซใดใLv.80ใ็ฅใใจใใใจใใฎใฟใญใฟใซใLv.87ใฏ็ฅใ fact4: ใใฎใดใซใดใLv.80ใไปๆน็กใใใใฉๅพก้ซใใชใใจใใใจๆถผใใใชใ fact5: ใใใชใซใใใใฎใขใณในใฟใผใ็ฅใใชใใใใฏ้ขใ้ฃใใชใใๅ่จบใใใจใใใใจใฏใชใใใใใใฏใฉใกใใใ fact6: ใใฎใดใซใดใLv.80ใฏๅฅฝใใใใจใใใใจใฏใชใ fact7: ใใใใฎใดใซใดใLv.80ใๅงฆใใใจใใใใใใฏ็ฅใ fact8: ใใใใชใซใใใใฎใขใณในใฟใผใฏ้ขใ้ฃใใจใใใใจใฏใชใใจใใใจใใใใฏๅฅฝใใใใชใใฆๆดใซๆถผใใใชใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใใฎใดใซใดใLv.80ใฏๅฅฝใใใใชใใฆๆถผใใใจใใใใจใฏใชใ ; $proof$ = | fact4 & fact1 -> int1: ใใฎใดใซใดใLv.80ใฏๆถผใใใชใ; int1 & fact6 -> hypothesis; __PROVED__ | $facts$ = fact1: ({AA}{a} & ยฌ{AB}{a}) fact2: (x): (ยฌ{C}x v ยฌ{D}x) -> ยฌ{B}x fact3: {E}{a} -> {E}{gk} fact4: ({AA}{a} & ยฌ{AB}{a}) -> ยฌ{B}{a} fact5: (x): {E}x -> (ยฌ{C}x v ยฌ{D}x) fact6: ยฌ{A}{a} fact7: {F}{a} -> {E}{a} fact8: (x): ยฌ{C}x -> ยฌ(ยฌ{A}x & ยฌ{B}x) ; $hypothesis$ = (ยฌ{A}{a} & ยฌ{B}{a}) ; $proof$ = | fact4 & fact1 -> int1: ยฌ{B}{a}; int1 & fact6 -> hypothesis; __PROVED__ |
0.3 | ใใฎใใซใ
ใใซใLv.3ใฏใใคใ | {C}{b} | fact1: ใใฎใทใใทใLv.1ใฏ็บ็ใ้ฃใ fact2: ใชใซใใใใฎใขใณในใฟใผใ้ฌฑ้ถใใใชใใใใฏ็่งฃใๆใ fact3: ใใใใใฎใทใใทใLv.1ใฏ็บ็ใ้ฃใใ้ฌฑ้ถใใใจใใใใใฎใใซใ
ใใซใLv.3ใฏใใคใใชใ fact4: ใใใฎใทใใทใLv.1ใฏ้ฌฑ้ถใใใใจใใใใจใฏไบๅฎใงใใ | fact1: {A}{a} fact2: (x): {B}x -> {ES}x fact3: ({A}{a} & {B}{a}) -> ยฌ{C}{b} fact4: {B}{a} | [
"fact1 & fact4 -> int1: ใใฎใทใใทใLv.1ใฏ็บ็ใ้ฃใใฆ้ฌฑ้ถใใ; int1 & fact3 -> hypothesis;"
] | [
"fact1 & fact4 -> int1: ({A}{a} & {B}{a}); int1 & fact3 -> hypothesis;"
] | ใใฎใพใใพใกใLv.97ใฏ็่งฃใๆใใใใฎไธ่ชญใ | ({ES}{if} & {DB}{if}) | [
"fact5 -> int2: ใใใใใฎใพใใพใกใLv.97ใ้ฌฑ้ถใใใจใใใใใฎใพใใพใกใLv.97ใฏ็่งฃใๆใ;"
] | 3 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใทใใทใLv.1ใฏ็บ็ใ้ฃใ fact2: ใชใซใใใใฎใขใณในใฟใผใ้ฌฑ้ถใใใชใใใใฏ็่งฃใๆใ fact3: ใใใใใฎใทใใทใLv.1ใฏ็บ็ใ้ฃใใ้ฌฑ้ถใใใจใใใใใฎใใซใ
ใใซใLv.3ใฏใใคใใชใ fact4: ใใใฎใทใใทใLv.1ใฏ้ฌฑ้ถใใใใจใใใใจใฏไบๅฎใงใใ ; $hypothesis$ = ใใฎใใซใ
ใใซใLv.3ใฏใใคใ ; $proof$ = | fact1 & fact4 -> int1: ใใฎใทใใทใLv.1ใฏ็บ็ใ้ฃใใฆ้ฌฑ้ถใใ; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: (x): {B}x -> {ES}x fact3: ({A}{a} & {B}{a}) -> ยฌ{C}{b} fact4: {B}{a} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 & fact4 -> int1: ({A}{a} & {B}{a}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใฟใซใใฟใกใLv.97ใฏๆๆกใๆใ | {A}{a} | fact1: ใใไฝใใใฎใขใณในใฟใผใๅฏ่ฆๅ่ฆณๅฏใใชใใจใใใจใใใฏๆๆกใๆใใชใใใใฎไธ้ฃ่กๆฉใใใใชใ fact2: ใใใใใขใณในใฟใผใฏๆๆกใๆใ | fact1: (x): ยฌ{C}x -> (ยฌ{A}x & ยฌ{B}x) fact2: (x): {A}x | [
"fact2 -> int1: ใใใใใขใณในใฟใผใฏๆๆกใๆใ; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): {A}x; int1 -> hypothesis;"
] | ใใฎใฟใซใใฟใกใLv.97ใฏๆๆกใๆใใชใ | ยฌ{A}{a} | [
"fact3 -> int2: ใใใใฎใฟใซใใฟใกใLv.97ใๅฏ่ฆๅ่ฆณๅฏใใชใใชใใฐใใฎใฟใซใใฟใกใLv.97ใฏๆๆกใๆใใชใใใใใซ้ฃ่กๆฉใใใใชใ;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใไฝใใใฎใขใณในใฟใผใๅฏ่ฆๅ่ฆณๅฏใใชใใจใใใจใใใฏๆๆกใๆใใชใใใใฎไธ้ฃ่กๆฉใใใใชใ fact2: ใใใใใขใณในใฟใผใฏๆๆกใๆใ ; $hypothesis$ = ใใฎใฟใซใใฟใกใLv.97ใฏๆๆกใๆใ ; $proof$ = | fact2 -> int1: ใใใใใขใณในใฟใผใฏๆๆกใๆใ; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: (x): ยฌ{C}x -> (ยฌ{A}x & ยฌ{B}x) fact2: (x): {A}x ; $hypothesis$ = {A}{a} ; $proof$ = | fact2 -> int1: (x): {A}x; int1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใดใชใดใฎLv.17ใฏๅคชใ้ฃใใจใใใใจใฏใชใ | ยฌ{B}{b} | fact1: ใใฎใพใใพใกใ
Lv.76ใ้
้ใใใใใใไผธใฐใๆใใชใใจใใใใใฎใดใชใดใฎLv.17ใฏๅคชใ้ฃใ fact2: ใใใใใฎใพใใพใกใ
Lv.76ใไธๅณใใจใใใจใใฎใพใใพใกใ
Lv.76ใฏ้
้ใใชใใไผธใฐใๆใใชใ fact3: ใใไปฎใซใใฎใพใใพใกใ
Lv.76ใไธๅณใใชใใฐใใใฏ้
้ใใชใ fact4: ใใใใใฎใพใใพใกใ
Lv.76ใ้
้ใใใจใใใใจใฏใชใใใใใซไผธใฐใๆใใชใใจใใใฐใใฎใดใชใดใฎLv.17ใฏๅคชใ้ฃใ fact5: ใใฎใพใใพใกใ
Lv.76ใฏไธๅณใ | fact1: ({AA}{a} & ยฌ{AB}{a}) -> {B}{b} fact2: {A}{a} -> (ยฌ{AA}{a} & ยฌ{AB}{a}) fact3: {A}{a} -> ยฌ{AA}{a} fact4: (ยฌ{AA}{a} & ยฌ{AB}{a}) -> {B}{b} fact5: {A}{a} | [
"fact2 & fact5 -> int1: ใใฎใพใใพใกใ
Lv.76ใฏ้
้ใใชใใฆใใพใใซไผธใฐใๆใใชใ; int1 & fact4 -> hypothesis;"
] | [
"fact2 & fact5 -> int1: (ยฌ{AA}{a} & ยฌ{AB}{a}); int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ใใฎใพใใพใกใ
Lv.76ใ้
้ใใใใใใไผธใฐใๆใใชใใจใใใใใฎใดใชใดใฎLv.17ใฏๅคชใ้ฃใ fact2: ใใใใใฎใพใใพใกใ
Lv.76ใไธๅณใใจใใใจใใฎใพใใพใกใ
Lv.76ใฏ้
้ใใชใใไผธใฐใๆใใชใ fact3: ใใไปฎใซใใฎใพใใพใกใ
Lv.76ใไธๅณใใชใใฐใใใฏ้
้ใใชใ fact4: ใใใใใฎใพใใพใกใ
Lv.76ใ้
้ใใใจใใใใจใฏใชใใใใใซไผธใฐใๆใใชใใจใใใฐใใฎใดใชใดใฎLv.17ใฏๅคชใ้ฃใ fact5: ใใฎใพใใพใกใ
Lv.76ใฏไธๅณใ ; $hypothesis$ = ใใฎใดใชใดใฎLv.17ใฏๅคชใ้ฃใใจใใใใจใฏใชใ ; $proof$ = | fact2 & fact5 -> int1: ใใฎใพใใพใกใ
Lv.76ใฏ้
้ใใชใใฆใใพใใซไผธใฐใๆใใชใ; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ({AA}{a} & ยฌ{AB}{a}) -> {B}{b} fact2: {A}{a} -> (ยฌ{AA}{a} & ยฌ{AB}{a}) fact3: {A}{a} -> ยฌ{AA}{a} fact4: (ยฌ{AA}{a} & ยฌ{AB}{a}) -> {B}{b} fact5: {A}{a} ; $hypothesis$ = ยฌ{B}{b} ; $proof$ = | fact2 & fact5 -> int1: (ยฌ{AA}{a} & ยฌ{AB}{a}); int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ใฝใใฝใกใ
Lv.59ไบไปถใฏ่ตทใใใชใ | ยฌ{C} | fact1: ไปฎใซ่ๅฅฎใๆใใจใใใใจใฏ่ตทใใใชใใจใใใใใทใซใใทใชLv.92ไบไปถใ็บ็ใใใใใฎไธใฟใกใใฟใซLv.29ไบไปถใฏ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใฟใซใฟใLv.8ไบไปถใ่ตทใใ fact3: ๅใ่พใใจใใใใจใ็บ็ใใ fact4: ใฟใกใใฟใซLv.29ไบไปถใฏใฝใใฝใกใ
Lv.59ไบไปถใฎใใฃใใใจใชใ fact5: ใใใใใทใซใใทใชLv.92ไบไปถใจใฟใกใใฟใซLv.29ไบไปถใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใฟใกใใฟใซLv.29ไบไปถใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใค fact6: ใใใใฟใซใฟใLv.8ไบไปถใ็ใใใจใใใจใฟใกใใฟใซLv.29ไบไปถใ็บ็ใใ fact7: ใใใใใใซใ
ใใซใLv.46ไบไปถใใใณใพใญใพใLv.11ไบไปถใ่ตทใใใใจใใใใจใฏๅใงใใใชใใฐ่ๅฅฎใๆใใจใใใใจใฏ่ตทใใชใ fact8: ่ฆๅบใ ใ้ฃใใจใใใใจใ็บ็ใใ | fact1: ยฌ{D} -> ยฌ({E} & {B}) fact2: {A} fact3: {IP} fact4: {B} -> {C} fact5: ยฌ({E} & {B}) -> ยฌ{B} fact6: {A} -> {B} fact7: ยฌ({F} & {G}) -> ยฌ{D} fact8: {EQ} | [
"fact6 & fact2 -> int1: ใฟใกใใฟใซLv.29ไบไปถใ่ตทใใ; int1 & fact4 -> hypothesis;"
] | [
"fact6 & fact2 -> int1: {B}; int1 & fact4 -> hypothesis;"
] | ใฝใใฝใกใ
Lv.59ไบไปถใฏ่ตทใใใชใ | ยฌ{C} | [] | 8 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ไปฎใซ่ๅฅฎใๆใใจใใใใจใฏ่ตทใใใชใใจใใใใใทใซใใทใชLv.92ไบไปถใ็บ็ใใใใใฎไธใฟใกใใฟใซLv.29ไบไปถใฏ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact2: ใฟใซใฟใLv.8ไบไปถใ่ตทใใ fact3: ๅใ่พใใจใใใใจใ็บ็ใใ fact4: ใฟใกใใฟใซLv.29ไบไปถใฏใฝใใฝใกใ
Lv.59ไบไปถใฎใใฃใใใจใชใ fact5: ใใใใใทใซใใทใชLv.92ไบไปถใจใฟใกใใฟใซLv.29ไบไปถใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจใใฟใกใใฟใซLv.29ไบไปถใฏ่ตทใใชใใใจใใใใจใฏๆใ็ซใค fact6: ใใใใฟใซใฟใLv.8ไบไปถใ็ใใใจใใใจใฟใกใใฟใซLv.29ไบไปถใ็บ็ใใ fact7: ใใใใใใซใ
ใใซใLv.46ไบไปถใใใณใพใญใพใLv.11ไบไปถใ่ตทใใใใจใใใใจใฏๅใงใใใชใใฐ่ๅฅฎใๆใใจใใใใจใฏ่ตทใใชใ fact8: ่ฆๅบใ ใ้ฃใใจใใใใจใ็บ็ใใ ; $hypothesis$ = ใฝใใฝใกใ
Lv.59ไบไปถใฏ่ตทใใใชใ ; $proof$ = | fact6 & fact2 -> int1: ใฟใกใใฟใซLv.29ไบไปถใ่ตทใใ; int1 & fact4 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{D} -> ยฌ({E} & {B}) fact2: {A} fact3: {IP} fact4: {B} -> {C} fact5: ยฌ({E} & {B}) -> ยฌ{B} fact6: {A} -> {B} fact7: ยฌ({F} & {G}) -> ยฌ{D} fact8: {EQ} ; $hypothesis$ = ยฌ{C} ; $proof$ = | fact6 & fact2 -> int1: {B}; int1 & fact4 -> hypothesis; __DISPROVED__ |
0.3 | ๆใใจใใใใจใฏ็บ็ใใชใ | ยฌ{C} | fact1: ใดใกใใดใญLv.0ไบไปถใฏ็ใใชใ fact2: ใดใใดใญLv.60ไบไปถใฏใ้ ใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใ้ฒใ fact3: ็บ็ใๆใใจใใใใจใฏๅใๅบใๆใใจใใใใจใฎใใฃใใใจใชใ fact4: ใๅใๅบใๆใใจใใใใจใฏๆใใจใใใใจใฏ็ใใชใใจใใใใจใๅผใ่ตทใใใใจใใใใจใฏๆญฃใใ fact5: ็บ็ใๆใใจใใใใจใ่ตทใใ | fact1: ยฌ{AG} fact2: {IN} -> {AJ} fact3: {A} -> {B} fact4: {B} -> ยฌ{C} fact5: {A} | [
"fact3 & fact5 -> int1: ๅใๅบใๆใใจใใใใจใ่ตทใใ; int1 & fact4 -> hypothesis;"
] | [
"fact3 & fact5 -> int1: {B}; int1 & fact4 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ใดใกใใดใญLv.0ไบไปถใฏ็ใใชใ fact2: ใดใใดใญLv.60ไบไปถใฏใ้ ใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใ้ฒใ fact3: ็บ็ใๆใใจใใใใจใฏๅใๅบใๆใใจใใใใจใฎใใฃใใใจใชใ fact4: ใๅใๅบใๆใใจใใใใจใฏๆใใจใใใใจใฏ็ใใชใใจใใใใจใๅผใ่ตทใใใใจใใใใจใฏๆญฃใใ fact5: ็บ็ใๆใใจใใใใจใ่ตทใใ ; $hypothesis$ = ๆใใจใใใใจใฏ็บ็ใใชใ ; $proof$ = | fact3 & fact5 -> int1: ๅใๅบใๆใใจใใใใจใ่ตทใใ; int1 & fact4 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{AG} fact2: {IN} -> {AJ} fact3: {A} -> {B} fact4: {B} -> ยฌ{C} fact5: {A} ; $hypothesis$ = ยฌ{C} ; $proof$ = | fact3 & fact5 -> int1: {B}; int1 & fact4 -> hypothesis; __PROVED__ |
0.3 | ใใฟใซใฟใLv.41ไบไปถใ็บ็ใใใๅใ้ฃใใจใใใใจใ็ใใใใจใใใใจใฏ่ชคใใ | ยฌ({B} & {C}) | fact1: ใๆใใจใใใใจใฏ็ใใชใใใจใใใใจใฏใๅพกๅฎใใจใใใใจใ่ตทใใใใใใซ็ฉบใใใจใใใใจใ่ตทใใใใจใใใใจใฎใใฃใใใจใชใ fact2: ใใฟใซใฟใLv.41ไบไปถใฏ็ใใชใใใจใใใใจใฏๅบใ้ฃใใจใใใใจใซ้ปๆญขใใใ fact3: ใใไปฎใซใใชใใญLv.71ไบไปถใฏ็ใใชใใจใใใจใๅบใ้ฃใใจใใใใจใ่ตทใใใใใพใใซๅใๆใใจใใใใจใ็บ็ใใใใจใใใใจใฏ่ชคใใ fact4: ใใใๅบใ้ฃใใจใใใใจใฏ่ตทใใใชใใจใใใจใใฟใซใฟใLv.41ไบไปถใ่ตทใใใๅใ้ฃใใจใใใใจใ่ตทใใใใจใใใใจใฏ่ชคใใ fact5: ใใใๅพกๅฎใใจใใใใจใ่ตทใใใๅฝขๅฎนใใใใจใ่ตทใใใชใใใชใใญLv.71ไบไปถใฏ่ตทใใชใ fact6: ไปฎใซใๅบใ้ฃใใจใใใใจใจๅใๆใใจใใใใจใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจๅบใ้ฃใใจใใใใจใฏ่ตทใใชใ fact7: ๅใ้ฃใใจใใใใจใ่ตทใใ fact8: ๅบใ้ฃใใจใใใใจใ่ตทใใ | fact1: ยฌ{I} -> ({G} & {H}) fact2: {A} -> {B} fact3: ยฌ{D} -> ยฌ({A} & {E}) fact4: ยฌ{A} -> ยฌ({B} & {C}) fact5: ({G} & {F}) -> ยฌ{D} fact6: ยฌ({A} & {E}) -> ยฌ{A} fact7: {C} fact8: {A} | [
"fact2 & fact8 -> int1: ใฟใซใฟใLv.41ไบไปถใ็บ็ใใ; int1 & fact7 -> hypothesis;"
] | [
"fact2 & fact8 -> int1: {B}; int1 & fact7 -> hypothesis;"
] | ใใฟใซใฟใLv.41ไบไปถใ็บ็ใใใๅใ้ฃใใจใใใใจใ็ใใใใจใใใใจใฏ่ชคใใ | ยฌ({B} & {C}) | [] | 10 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใๆใใจใใใใจใฏ็ใใชใใใจใใใใจใฏใๅพกๅฎใใจใใใใจใ่ตทใใใใใใซ็ฉบใใใจใใใใจใ่ตทใใใใจใใใใจใฎใใฃใใใจใชใ fact2: ใใฟใซใฟใLv.41ไบไปถใฏ็ใใชใใใจใใใใจใฏๅบใ้ฃใใจใใใใจใซ้ปๆญขใใใ fact3: ใใไปฎใซใใชใใญLv.71ไบไปถใฏ็ใใชใใจใใใจใๅบใ้ฃใใจใใใใจใ่ตทใใใใใพใใซๅใๆใใจใใใใจใ็บ็ใใใใจใใใใจใฏ่ชคใใ fact4: ใใใๅบใ้ฃใใจใใใใจใฏ่ตทใใใชใใจใใใจใใฟใซใฟใLv.41ไบไปถใ่ตทใใใๅใ้ฃใใจใใใใจใ่ตทใใใใจใใใใจใฏ่ชคใใ fact5: ใใใๅพกๅฎใใจใใใใจใ่ตทใใใๅฝขๅฎนใใใใจใ่ตทใใใชใใใชใใญLv.71ไบไปถใฏ่ตทใใชใ fact6: ไปฎใซใๅบใ้ฃใใจใใใใจใจๅใๆใใจใใใใจใ็บ็ใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจๅบใ้ฃใใจใใใใจใฏ่ตทใใชใ fact7: ๅใ้ฃใใจใใใใจใ่ตทใใ fact8: ๅบใ้ฃใใจใใใใจใ่ตทใใ ; $hypothesis$ = ใใฟใซใฟใLv.41ไบไปถใ็บ็ใใใๅใ้ฃใใจใใใใจใ็ใใใใจใใใใจใฏ่ชคใใ ; $proof$ = | fact2 & fact8 -> int1: ใฟใซใฟใLv.41ไบไปถใ็บ็ใใ; int1 & fact7 -> hypothesis; __DISPROVED__ | $facts$ = fact1: ยฌ{I} -> ({G} & {H}) fact2: {A} -> {B} fact3: ยฌ{D} -> ยฌ({A} & {E}) fact4: ยฌ{A} -> ยฌ({B} & {C}) fact5: ({G} & {F}) -> ยฌ{D} fact6: ยฌ({A} & {E}) -> ยฌ{A} fact7: {C} fact8: {A} ; $hypothesis$ = ยฌ({B} & {C}) ; $proof$ = | fact2 & fact8 -> int1: {B}; int1 & fact7 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใทใญใทใซใ
Lv.52ใฏๅพกๅตฉใใจใใใใจใฏใชใ | ยฌ{C}{a} | fact1: ใใฎใทใญใทใซใ
Lv.52ใฏ็พ็คบใใ fact2: ใใใใใฎใทใญใทใซใ
Lv.52ใฏๅธๅใใๆใใใใใ็พ็คบใใใจใใใจใใใฏๅพกๅตฉใพใชใ | fact1: {B}{a} fact2: ({A}{a} & {B}{a}) -> ยฌ{C}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใฎใทใญใทใซใ
Lv.52ใฏ็พ็คบใใ fact2: ใใใใใฎใทใญใทใซใ
Lv.52ใฏๅธๅใใๆใใใใใ็พ็คบใใใจใใใจใใใฏๅพกๅตฉใพใชใ ; $hypothesis$ = ใใฎใทใญใทใซใ
Lv.52ใฏๅพกๅตฉใใจใใใใจใฏใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {B}{a} fact2: ({A}{a} & {B}{a}) -> ยฌ{C}{a} ; $hypothesis$ = ยฌ{C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใฝใใฝใLv.40ไบไปถใ่ตทใใ | {C} | fact1: ใใฝใใฝใLv.40ไบไปถใ่ตทใใใจใใใใใใฝใซใฝใกใLv.37ไบไปถใฏ็บ็ใใชใใ่ฒช้ฃใใใใจใ่ตทใใใใจใใใใจใฏๆญฃใใใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆญฃใใ fact2: ่ฒช้ฃใใใใจใ่ตทใใ fact3: ใใฝใใฝใLv.40ไบไปถใจไฝฟใๆใใจใใใใจใ่ตทใใใใจใใใใจใฏใ่ฒช้ฃใใใใจใฏ่ตทใใชใใใจใใใใจใๅๅ ใ fact4: ่ฆชใใใใจใใใใจใฏ็ใใชใ fact5: ใฝใใฝใLv.40ไบไปถใ่ตทใใชใใจใใใใจใฏใไฝฟใๆใใจใใใใจใจ่ฒช้ฃใใใใจใฉใกใใใ็ใใใใจใใใใจใฏใใฃใใใ fact6: ไฝฟใๆใใจใใใใจใ็บ็ใใ fact7: ไปฎใซใฟใใฟใญLv.93ไบไปถใ่ตทใใใชใใใฉ่ชฌๆใๆใใจใใใใจใ่ตทใใใจใใใฐ่ฒช้ฃใใใใจใฏ่ตทใใชใ fact8: ไปฎใซใใฝใซใฝใกใLv.37ไบไปถใฏ็บ็ใใชใใ่ฒช้ฃใใใใจใ่ตทใใใใจใใใใจใฏไบๅฎใจ็ฐใชใใจใใใฐใฝใซใฝใกใLv.37ไบไปถใ็ใใ | fact1: {C} -> ยฌ(ยฌ{DC} & {B}) fact2: {B} fact3: ยฌ{B} -> ({C} & {A}) fact4: ยฌ{DB} fact5: ({A} & {B}) -> ยฌ{C} fact6: {A} fact7: (ยฌ{E} & {D}) -> ยฌ{B} fact8: ยฌ(ยฌ{DC} & {B}) -> {DC} | [
"fact6 & fact2 -> int1: ไฝฟใๆใใจใใใใจใ่ตทใใใใใฎไธ่ฒช้ฃใใใใจใ็บ็ใใ; int1 & fact5 -> hypothesis;"
] | [
"fact6 & fact2 -> int1: ({A} & {B}); int1 & fact5 -> hypothesis;"
] | ใฝใใฝใLv.40ไบไปถใ่ตทใใ | {C} | [] | 6 | 2 | 2 | 2 | 2 | 5 | 0 | 5 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฝใใฝใLv.40ไบไปถใ่ตทใใใจใใใใใใฝใซใฝใกใLv.37ไบไปถใฏ็บ็ใใชใใ่ฒช้ฃใใใใจใ่ตทใใใใจใใใใจใฏๆญฃใใใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆญฃใใ fact2: ่ฒช้ฃใใใใจใ่ตทใใ fact3: ใใฝใใฝใLv.40ไบไปถใจไฝฟใๆใใจใใใใจใ่ตทใใใใจใใใใจใฏใ่ฒช้ฃใใใใจใฏ่ตทใใชใใใจใใใใจใๅๅ ใ fact4: ่ฆชใใใใจใใใใจใฏ็ใใชใ fact5: ใฝใใฝใLv.40ไบไปถใ่ตทใใชใใจใใใใจใฏใไฝฟใๆใใจใใใใจใจ่ฒช้ฃใใใใจใฉใกใใใ็ใใใใจใใใใจใฏใใฃใใใ fact6: ไฝฟใๆใใจใใใใจใ็บ็ใใ fact7: ไปฎใซใฟใใฟใญLv.93ไบไปถใ่ตทใใใชใใใฉ่ชฌๆใๆใใจใใใใจใ่ตทใใใจใใใฐ่ฒช้ฃใใใใจใฏ่ตทใใชใ fact8: ไปฎใซใใฝใซใฝใกใLv.37ไบไปถใฏ็บ็ใใชใใ่ฒช้ฃใใใใจใ่ตทใใใใจใใใใจใฏไบๅฎใจ็ฐใชใใจใใใฐใฝใซใฝใกใLv.37ไบไปถใ็ใใ ; $hypothesis$ = ใฝใใฝใLv.40ไบไปถใ่ตทใใ ; $proof$ = | fact6 & fact2 -> int1: ไฝฟใๆใใจใใใใจใ่ตทใใใใใฎไธ่ฒช้ฃใใใใจใ็บ็ใใ; int1 & fact5 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {C} -> ยฌ(ยฌ{DC} & {B}) fact2: {B} fact3: ยฌ{B} -> ({C} & {A}) fact4: ยฌ{DB} fact5: ({A} & {B}) -> ยฌ{C} fact6: {A} fact7: (ยฌ{E} & {D}) -> ยฌ{B} fact8: ยฌ(ยฌ{DC} & {B}) -> {DC} ; $hypothesis$ = {C} ; $proof$ = | fact6 & fact2 -> int1: ({A} & {B}); int1 & fact5 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใดใกใ
ใดใซใ
Lv.97ใฏๆๅณๆทฑใใฆ่พๆฐ่ญใ | ({C}{a} & {A}{a}) | fact1: ใใฎใดใกใ
ใดใซใ
Lv.97ใฏ่ญใ fact2: ใใฎใดใกใ
ใดใซใ
Lv.97ใฏๆๅณๆทฑใ fact3: ใใใใใใใใขใณในใฟใผใฏ็ฑใใชใใฆๅฅฅๆทฑใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใชใๅพใใๆใใชใใใจใใใใจใฏ็ขบใใงใใ fact4: ใใใใใฎใทใใทใLv.2ใๅพใใๆใใชใใฐใใฎใทใใทใLv.2ใฏ่พๆฐ่ญใ fact5: ใใฎใใใใกใLv.7ใฏๅพใใๆใ fact6: ๅ
จใฆใฎใขใณในใฟใผใฏไฝๆฐ็กใ | fact1: {T}{a} fact2: {C}{a} fact3: (x): ยฌ(ยฌ{E}x & ยฌ{D}x) -> ยฌ{B}x fact4: {B}{h} -> {A}{h} fact5: {B}{cb} fact6: (x): {F}x | [] | [] | ใใฎใทใใทใLv.2ใฏ่พๆฐ่ญใ | {A}{h} | [] | 5 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใฎใดใกใ
ใดใซใ
Lv.97ใฏ่ญใ fact2: ใใฎใดใกใ
ใดใซใ
Lv.97ใฏๆๅณๆทฑใ fact3: ใใใใใใใใขใณในใฟใผใฏ็ฑใใชใใฆๅฅฅๆทฑใใชใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใใชใๅพใใๆใใชใใใจใใใใจใฏ็ขบใใงใใ fact4: ใใใใใฎใทใใทใLv.2ใๅพใใๆใใชใใฐใใฎใทใใทใLv.2ใฏ่พๆฐ่ญใ fact5: ใใฎใใใใกใLv.7ใฏๅพใใๆใ fact6: ๅ
จใฆใฎใขใณในใฟใผใฏไฝๆฐ็กใ ; $hypothesis$ = ใใฎใดใกใ
ใดใซใ
Lv.97ใฏๆๅณๆทฑใใฆ่พๆฐ่ญใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {T}{a} fact2: {C}{a} fact3: (x): ยฌ(ยฌ{E}x & ยฌ{D}x) -> ยฌ{B}x fact4: {B}{h} -> {A}{h} fact5: {B}{cb} fact6: (x): {F}x ; $hypothesis$ = ({C}{a} & {A}{a}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎใฝใซใ
ใฝใกใLv.50ใฏ็ฒใใใจใใใใจใฏๆใ็ซใค | {C}{b} | fact1: ใใฎใดใซใใดใLv.16ใฏๆ ผๅฅฝ่ฏใใ้
ทใ fact2: ใใใใใฎใดใซใใดใLv.16ใๆ ผๅฅฝ่ฏใใจใใใใใฎใฝใซใ
ใฝใกใLv.50ใฏ็ฒใ | fact1: ({A}{a} & {B}{a}) fact2: {A}{a} -> {C}{b} | [
"fact1 -> int1: ใใฎใดใซใใดใLv.16ใฏๆ ผๅฅฝ่ฏใ; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใใฎใดใซใใดใLv.16ใฏๆ ผๅฅฝ่ฏใใ้
ทใ fact2: ใใใใใฎใดใซใใดใLv.16ใๆ ผๅฅฝ่ฏใใจใใใใใฎใฝใซใ
ใฝใกใLv.50ใฏ็ฒใ ; $hypothesis$ = ใใใฎใฝใซใ
ใฝใกใLv.50ใฏ็ฒใใใจใใใใจใฏๆใ็ซใค ; $proof$ = | fact1 -> int1: ใใฎใดใซใใดใLv.16ใฏๆ ผๅฅฝ่ฏใ; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: ({A}{a} & {B}{a}) fact2: {A}{a} -> {C}{b} ; $hypothesis$ = {C}{b} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __PROVED__ |
0.3 | ใฝใกใใฝใซLv.33ไบไปถใ่ตทใใ | {B} | fact1: ่จฑใ้ฃใใจใใใใจใ็ใใ fact2: ใใฟใญใฟใซใLv.52ไบไปถใงใฏใชใใฆใพใกใใพใซใ
Lv.43ไบไปถใ่ตทใใใใจใใใใจใฏๅใๆฑใๆใใจใใใใจใๅ้ฟใใ fact3: ใใใใญใใชLv.59ไบไปถใ็ใใใจใใใใฝใกใใฝใซLv.33ไบไปถใฏ็ใใชใใฆ่จฑใ้ฃใใจใใใใจใฏ็บ็ใใชใ fact4: ใๅใๆฑใๆใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๆฑใใใใจใใใใจใจใใญใใชLv.59ไบไปถใ็บ็ใใใใใใใ fact5: ไปฎใซใ่จใ็ฅใใใใจใจใใใใLv.17ไบไปถใฉใกใใใ็ใใใใจใใใใจใฏ่ชคใใชใใฟใญใฟใซใLv.52ไบไปถใฏ่ตทใใใชใ fact6: ใใดใญใดใLv.15ไบไปถใฏ่ตทใใชใใใจใใใใจใฏใทใกใใทใLv.10ไบไปถใซ้ปใพใใ | fact1: {A} fact2: (ยฌ{G} & {F}) -> ยฌ{E} fact3: {C} -> (ยฌ{B} & ยฌ{A}) fact4: ยฌ{E} -> ({D} & {C}) fact5: ยฌ({H} & {I}) -> ยฌ{G} fact6: {DF} -> {IF} | [
"fact1 -> int1: ่จฑใ้ฃใใจใใใใจใ็ใใ;"
] | [
"fact1 -> int1: {A};"
] | ใฝใกใใฝใซLv.33ไบไปถใฏ็ใใชใ | ยฌ{B} | [] | 8 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ่จฑใ้ฃใใจใใใใจใ็ใใ fact2: ใใฟใญใฟใซใLv.52ไบไปถใงใฏใชใใฆใพใกใใพใซใ
Lv.43ไบไปถใ่ตทใใใใจใใใใจใฏๅใๆฑใๆใใจใใใใจใๅ้ฟใใ fact3: ใใใใญใใชLv.59ไบไปถใ็ใใใจใใใใฝใกใใฝใซLv.33ไบไปถใฏ็ใใชใใฆ่จฑใ้ฃใใจใใใใจใฏ็บ็ใใชใ fact4: ใๅใๆฑใๆใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๆฑใใใใจใใใใจใจใใญใใชLv.59ไบไปถใ็บ็ใใใใใใใ fact5: ไปฎใซใ่จใ็ฅใใใใจใจใใใใLv.17ไบไปถใฉใกใใใ็ใใใใจใใใใจใฏ่ชคใใชใใฟใญใฟใซใLv.52ไบไปถใฏ่ตทใใใชใ fact6: ใใดใญใดใLv.15ไบไปถใฏ่ตทใใชใใใจใใใใจใฏใทใกใใทใLv.10ไบไปถใซ้ปใพใใ ; $hypothesis$ = ใฝใกใใฝใซLv.33ไบไปถใ่ตทใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A} fact2: (ยฌ{G} & {F}) -> ยฌ{E} fact3: {C} -> (ยฌ{B} & ยฌ{A}) fact4: ยฌ{E} -> ({D} & {C}) fact5: ยฌ({H} & {I}) -> ยฌ{G} fact6: {DF} -> {IF} ; $hypothesis$ = {B} ; $proof$ = | __UNKNOWN__ |
0.3 | ใไปฎใซ่ผใใใจใใใใจใฏใชใใจใใใฐๆณๅฎใ้ฃใใฆใใใซ้ฆฌ้นฟ้ฆฌ้นฟใใใใขใณในใฟใผใฏใใ | (Ex): ยฌ{A}x -> ({AA}x & {AB}x) | fact1: ใใใใใฎใฟใญใฟใญLv.32ใฏ่ผใใใชใใใจใใใใจใฏ้้ใใงใชใใจใใใฐใใใฏๆณๅฎใ้ฃใใฆๅ ใใฆ้ฆฌ้นฟ้ฆฌ้นฟใใ | fact1: ยฌ{A}{aa} -> ({AA}{aa} & {AB}{aa}) | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใใใใใฎใฟใญใฟใญLv.32ใฏ่ผใใใชใใใจใใใใจใฏ้้ใใงใชใใจใใใฐใใใฏๆณๅฎใ้ฃใใฆๅ ใใฆ้ฆฌ้นฟ้ฆฌ้นฟใใ ; $hypothesis$ = ใไปฎใซ่ผใใใจใใใใจใฏใชใใจใใใฐๆณๅฎใ้ฃใใฆใใใซ้ฆฌ้นฟ้ฆฌ้นฟใใใใขใณในใฟใผใฏใใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{A}{aa} -> ({AA}{aa} & {AB}{aa}) ; $hypothesis$ = (Ex): ยฌ{A}x -> ({AA}x & {AB}x) ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ็ฉๅใผใใจใใใใจใฏ่ตทใใชใ | ยฌ{C} | fact1: ๅใใใใใจใใใใจใ็ใใ fact2: ใ่ใใ้ฃใใจใใใใจใ่ตทใใใใใฉ้ฆฌ้นฟใใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใคใจใใใฐๅใพใๅใใใใจใฏ็ใใชใ fact3: ใใฝใซใ
ใฝใซLv.78ไบไปถใ่ตทใใใใจใใใใจใฏใ็ฉๅใผใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใ้ฒใ fact4: ใๆใ
ใใใจใใใใจใ่ตทใใใใใพใใซ่ฟใใจใใใใจใ็บ็ใใใใจใใใใจใฏใๅใพใๅใใใใจใฏ่ตทใใชใใใจใใใใจใซใใ็บ็ใใ | fact1: {CJ} fact2: ({F} & ยฌ{G}) -> ยฌ{E} fact3: {A} -> {C} fact4: ยฌ{E} -> ({B} & {D}) | [] | [] | ็ฉๅใผใใจใใใใจใฏ่ตทใใชใ | ยฌ{C} | [] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ๅใใใใใจใใใใจใ็ใใ fact2: ใ่ใใ้ฃใใจใใใใจใ่ตทใใใใใฉ้ฆฌ้นฟใใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใคใจใใใฐๅใพใๅใใใใจใฏ็ใใชใ fact3: ใใฝใซใ
ใฝใซLv.78ไบไปถใ่ตทใใใใจใใใใจใฏใ็ฉๅใผใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใ้ฒใ fact4: ใๆใ
ใใใจใใใใจใ่ตทใใใใใพใใซ่ฟใใจใใใใจใ็บ็ใใใใจใใใใจใฏใๅใพใๅใใใใจใฏ่ตทใใชใใใจใใใใจใซใใ็บ็ใใ ; $hypothesis$ = ็ฉๅใผใใจใใใใจใฏ่ตทใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {CJ} fact2: ({F} & ยฌ{G}) -> ยฌ{E} fact3: {A} -> {C} fact4: ยฌ{E} -> ({B} & {D}) ; $hypothesis$ = ยฌ{C} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใดใใดใกใLv.73ใฏๆฒ้ปใใ | {B}{c} | fact1: ้ใ็กใใชใใขใณในใฟใผใฏ่ชฟๅใ้ฃใใใพใใฏๅ ชใ้ฃใ fact2: ใใฎใทใชใทใLv.1ใฏๅ ชใ้ฃใ fact3: ใใฎใทใซใใทใLv.35ใ็ชใฃไผใใชใใใใใใฏๅฅณใ
ใใใชใใจใใใใใฎใดใใดใกใLv.73ใฏๆฒ้ปใใใจใใใใจใฏใชใ fact4: ใใฎใดใใดใกใLv.73ใๆฒ้ปใใใฐใใฎใทใชใทใLv.1ใฏ็ชใฃไผใใชใใใใใฏๅ ชใ้ฃใใชใใใพใใฏไธกๆนใจใใ fact5: ใใใใฎใทใชใทใLv.1ใๅ ชใ้ฃใใจใใใฐใใฎใทใซใใทใLv.35ใฏ็ชใฃไผใใชใใใใใใฏๅฅณใ
ใใใใพใใฏใฉใกใใใงใใ fact6: ใใใใใใฎใทใชใทใLv.1ใฏๅ ชใ้ฃใใใจใใใใจใฏๆฌๅฝใงใใใชใใฐใใฎใทใซใใทใLv.35ใฏ็ชใฃไผใใชใใใพใใฏใใใฏๅฅณใ
ใใใชใ fact7: ใใฎใทใชใทใLv.1ใฏๅ ชใ้ฃใใชใใใใใใฏ็ชใฃไผใใจใใใใจใฏใชใ | fact1: (x): ยฌ{D}x -> ({C}x v {A}x) fact2: {A}{a} fact3: (ยฌ{AA}{b} v ยฌ{AB}{b}) -> ยฌ{B}{c} fact4: {B}{c} -> (ยฌ{AA}{a} v ยฌ{A}{a}) fact5: {A}{a} -> (ยฌ{AA}{b} v {AB}{b}) fact6: {A}{a} -> (ยฌ{AA}{b} v ยฌ{AB}{b}) fact7: (ยฌ{A}{a} v ยฌ{AA}{a}) | [
"fact6 & fact2 -> int1: ใใฎใทใซใใทใLv.35ใฏ็ชใฃไผใใจใใใใจใฏใชใใใพใใฏๅฅณใ
ใใใชใใใใใใฏไธกๆนใงใใ; int1 & fact3 -> hypothesis;"
] | [
"fact6 & fact2 -> int1: (ยฌ{AA}{b} v ยฌ{AB}{b}); int1 & fact3 -> hypothesis;"
] | ใใฎใดใใดใกใLv.73ใฏๆฒ้ปใใ | {B}{c} | [
"fact8 -> int2: ใใไปฎใซใใใฎใดใใดใกใLv.73ใฏ้ใ็กใใชใใใจใใใใจใฏไบๅฎใงใใใชใใใใฏ่ชฟๅใ้ฃใใใใใใฏๅ ชใ้ฃใใใพใใฏไธกๆนใงใใ;"
] | 4 | 2 | 2 | 2 | 2 | 4 | 0 | 4 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ้ใ็กใใชใใขใณในใฟใผใฏ่ชฟๅใ้ฃใใใพใใฏๅ ชใ้ฃใ fact2: ใใฎใทใชใทใLv.1ใฏๅ ชใ้ฃใ fact3: ใใฎใทใซใใทใLv.35ใ็ชใฃไผใใชใใใใใใฏๅฅณใ
ใใใชใใจใใใใใฎใดใใดใกใLv.73ใฏๆฒ้ปใใใจใใใใจใฏใชใ fact4: ใใฎใดใใดใกใLv.73ใๆฒ้ปใใใฐใใฎใทใชใทใLv.1ใฏ็ชใฃไผใใชใใใใใฏๅ ชใ้ฃใใชใใใพใใฏไธกๆนใจใใ fact5: ใใใใฎใทใชใทใLv.1ใๅ ชใ้ฃใใจใใใฐใใฎใทใซใใทใLv.35ใฏ็ชใฃไผใใชใใใใใใฏๅฅณใ
ใใใใพใใฏใฉใกใใใงใใ fact6: ใใใใใใฎใทใชใทใLv.1ใฏๅ ชใ้ฃใใใจใใใใจใฏๆฌๅฝใงใใใชใใฐใใฎใทใซใใทใLv.35ใฏ็ชใฃไผใใชใใใพใใฏใใใฏๅฅณใ
ใใใชใ fact7: ใใฎใทใชใทใLv.1ใฏๅ ชใ้ฃใใชใใใใใใฏ็ชใฃไผใใจใใใใจใฏใชใ ; $hypothesis$ = ใใฎใดใใดใกใLv.73ใฏๆฒ้ปใใ ; $proof$ = | fact6 & fact2 -> int1: ใใฎใทใซใใทใLv.35ใฏ็ชใฃไผใใจใใใใจใฏใชใใใพใใฏๅฅณใ
ใใใชใใใใใใฏไธกๆนใงใใ; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ยฌ{D}x -> ({C}x v {A}x) fact2: {A}{a} fact3: (ยฌ{AA}{b} v ยฌ{AB}{b}) -> ยฌ{B}{c} fact4: {B}{c} -> (ยฌ{AA}{a} v ยฌ{A}{a}) fact5: {A}{a} -> (ยฌ{AA}{b} v {AB}{b}) fact6: {A}{a} -> (ยฌ{AA}{b} v ยฌ{AB}{b}) fact7: (ยฌ{A}{a} v ยฌ{AA}{a}) ; $hypothesis$ = {B}{c} ; $proof$ = | fact6 & fact2 -> int1: (ยฌ{AA}{b} v ยฌ{AB}{b}); int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใใกใLv.2ไบไปถใใงใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใค | ({B} v {C}) | fact1: ๆฝฐใใใใจใ็บ็ใใ fact2: ใฟใใฟใLv.74ไบไปถใ็บ็ใใ | fact1: {CS} fact2: {A} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ๆฝฐใใใใจใ็บ็ใใ fact2: ใฟใใฟใLv.74ไบไปถใ็บ็ใใ ; $hypothesis$ = ใใใใใกใLv.2ไบไปถใใงใใใจใใใใจใ่ตทใใใใจใใใใจใฏๆใ็ซใค ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {CS} fact2: {A} ; $hypothesis$ = ({B} v {C}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใใซใ
ใใLv.11ใฏไปๆน็กใใชใ | ยฌ{A}{a} | fact1: ใใใใใใขใณในใฟใผใๆใใใใจใใใฐใใใฏไปๆน็กใ fact2: ใใไปฎใซใใใฎใใซใใใซใLv.61ใฏ่ใ
ใใใใฉๆใใใใจใใใใจใฏใชใใใจใใใใจใฏๅฝใชใใฐใใฎใใซใ
ใใLv.11ใฏๆใใใ | fact1: (x): {B}x -> {A}x fact2: ยฌ({D}{b} & ยฌ{B}{b}) -> {B}{a} | [] | [] | ใใฎใใซใ
ใใLv.11ใฏไปๆน็กใ | {A}{a} | [
"fact4 -> int1: ใใใใใฎใใซใ
ใใLv.11ใๆใใใใจใใใฐไปๆน็กใ;"
] | 5 | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใใใขใณในใฟใผใๆใใใใจใใใฐใใใฏไปๆน็กใ fact2: ใใไปฎใซใใใฎใใซใใใซใLv.61ใฏ่ใ
ใใใใฉๆใใใใจใใใใจใฏใชใใใจใใใใจใฏๅฝใชใใฐใใฎใใซใ
ใใLv.11ใฏๆใใใ ; $hypothesis$ = ใใฎใใซใ
ใใLv.11ใฏไปๆน็กใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {B}x -> {A}x fact2: ยฌ({D}{b} & ยฌ{B}{b}) -> {B}{a} ; $hypothesis$ = ยฌ{A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใฟใใฟใกใLv.46ใฏๆปใๅงใใชใใใใใใใผใใ | (ยฌ{C}{b} & {A}{b}) | fact1: ใใใใใฎใฟใใฟใLv.16ใๆปใๅงใใใฐใใฎใดใใดใญLv.64ใฏใใผใใ fact2: ไปฎใซใจใใใขใณในใฟใผใๆใๅคใใชใใชใใฐใใผใใใใพใใฏๆปใๅงใใใใพใใฏไธกๆนใจใใงใใ fact3: ใใฎใฟใใฟใกใLv.46ใฏใใผใใ fact4: ใใใใใฎใฟใใฟใLv.16ใใใผใใใชใใฐใใฎใฟใใฟใกใLv.46ใฏๆปใๅงใใใจใใใใจใฏใชใใใใผใใ | fact1: {C}{a} -> {A}{ip} fact2: (x): ยฌ{B}x -> ({A}x v {C}x) fact3: {A}{b} fact4: {A}{a} -> (ยฌ{C}{b} & {A}{b}) | [] | [] | ใใฎใดใใดใญLv.64ใฏใใผใใ | {A}{ip} | [
"fact5 -> int1: ใใใใฎใฟใใฟใLv.16ใๆใๅคใใชใใชใใใใฏใใผใใใใใใใฏๆปใๅงใใ;"
] | 7 | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใใฎใฟใใฟใLv.16ใๆปใๅงใใใฐใใฎใดใใดใญLv.64ใฏใใผใใ fact2: ไปฎใซใจใใใขใณในใฟใผใๆใๅคใใชใใชใใฐใใผใใใใพใใฏๆปใๅงใใใใพใใฏไธกๆนใจใใงใใ fact3: ใใฎใฟใใฟใกใLv.46ใฏใใผใใ fact4: ใใใใใฎใฟใใฟใLv.16ใใใผใใใชใใฐใใฎใฟใใฟใกใLv.46ใฏๆปใๅงใใใจใใใใจใฏใชใใใใผใใ ; $hypothesis$ = ใใฎใฟใใฟใกใLv.46ใฏๆปใๅงใใชใใใใใใใผใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {C}{a} -> {A}{ip} fact2: (x): ยฌ{B}x -> ({A}x v {C}x) fact3: {A}{b} fact4: {A}{a} -> (ยฌ{C}{b} & {A}{b}) ; $hypothesis$ = (ยฌ{C}{b} & {A}{b}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใ็ขบ็ดใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใค | ยฌ{AB} | fact1: ๅฟตใใใใจใฏ่ตทใใใชใใชใใฐใฝใกใใฝใLv.50ไบไปถใงใฏใชใใฆใใซใ
ใใกใLv.66ไบไปถใ่ตทใใ fact2: ้ฃฒใฟ้ฃใใจใใใใจใฏ่ตทใใใชใ fact3: ใใไปฎใซใฝใกใใฝใLv.50ไบไปถใฏ็บ็ใใชใใชใ้ฃฒใฟ้ฃใใจใใใใจใ็ใใใใใพใใซ็ขบ็ดใใใใจใ่ตทใใ fact4: ใๆฅๆใใจใใใใจใ็ใใใ็ขบ็ดใใใใจใฏ่ตทใใชใใใจใใใใจใฏ้ฃฒใฟ้ฃใใจใใใใจใฏ่ตทใใใชใใจใใใใจใๅฅๆฉใงใใ | fact1: ยฌ{D} -> (ยฌ{B} & {C}) fact2: ยฌ{A} fact3: ยฌ{B} -> ({A} & {AB}) fact4: ยฌ{A} -> ({AA} & ยฌ{AB}) | [
"fact4 & fact2 -> int1: ๆฅๆใใจใใใใจใ่ตทใใไธๆนใง็ขบ็ดใใใใจใฏ่ตทใใชใ; int1 -> hypothesis;"
] | [
"fact4 & fact2 -> int1: ({AA} & ยฌ{AB}); int1 -> hypothesis;"
] | ็ขบ็ดใใใใจใ็ใใ | {AB} | [] | 7 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ๅฟตใใใใจใฏ่ตทใใใชใใชใใฐใฝใกใใฝใLv.50ไบไปถใงใฏใชใใฆใใซใ
ใใกใLv.66ไบไปถใ่ตทใใ fact2: ้ฃฒใฟ้ฃใใจใใใใจใฏ่ตทใใใชใ fact3: ใใไปฎใซใฝใกใใฝใLv.50ไบไปถใฏ็บ็ใใชใใชใ้ฃฒใฟ้ฃใใจใใใใจใ็ใใใใใพใใซ็ขบ็ดใใใใจใ่ตทใใ fact4: ใๆฅๆใใจใใใใจใ็ใใใ็ขบ็ดใใใใจใฏ่ตทใใชใใใจใใใใจใฏ้ฃฒใฟ้ฃใใจใใใใจใฏ่ตทใใใชใใจใใใใจใๅฅๆฉใงใใ ; $hypothesis$ = ใ็ขบ็ดใใใใจใฏ็บ็ใใชใใใจใใใใจใฏๆใ็ซใค ; $proof$ = | fact4 & fact2 -> int1: ๆฅๆใใจใใใใจใ่ตทใใไธๆนใง็ขบ็ดใใใใจใฏ่ตทใใชใ; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ{D} -> (ยฌ{B} & {C}) fact2: ยฌ{A} fact3: ยฌ{B} -> ({A} & {AB}) fact4: ยฌ{A} -> ({AA} & ยฌ{AB}) ; $hypothesis$ = ยฌ{AB} ; $proof$ = | fact4 & fact2 -> int1: ({AA} & ยฌ{AB}); int1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใใกใใใชLv.79ใฏๅบๆฅๆใใชใ | ยฌ{B}{b} | fact1: ใใฎใดใใดใญLv.41ใฏไปๆ็กใ fact2: ใใไปฎใซใใฎใดใใดใญLv.41ใไปๆ็กใใจใใใฐใใฎใใกใใใชLv.79ใฏๅบๆฅๆใ fact3: ไปฎใซใใใใขใณในใฟใผใฏไปๆ็กใใจใใใใจใฏใชใใใฉๅทใๅทใใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจๅบๆฅๆใใชใ fact4: ไปฎใซใใใฎใดใใดใญLv.41ใฏๅบๆฅๆใใใจใใใใจใฏไบๅฎใ ใจใใใฐใใฎใใกใใใชLv.79ใฏไปๆ็กใ | fact1: {A}{a} fact2: {A}{a} -> {B}{b} fact3: (x): ยฌ(ยฌ{A}x & {C}x) -> ยฌ{B}x fact4: {B}{a} -> {A}{b} | [
"fact1 -> int1: ใใฎใดใใดใญLv.41ใฏไปๆ็กใ; int1 & fact2 -> hypothesis;"
] | [
"fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis;"
] | ใใฎใใกใใใชLv.79ใฏๅบๆฅๆใใชใ | ยฌ{B}{b} | [
"fact5 -> int2: ใใใใใใฎใใกใใใชLv.79ใฏไปๆ็กใใจใใใใจใฏใชใใใใใๅทใๅทใใใใใจใใใใจใฏๆฌๅฝใงใชใใจใใใจใใฎใใกใใใชLv.79ใฏๅบๆฅๆใใชใ;"
] | 4 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใฎใดใใดใญLv.41ใฏไปๆ็กใ fact2: ใใไปฎใซใใฎใดใใดใญLv.41ใไปๆ็กใใจใใใฐใใฎใใกใใใชLv.79ใฏๅบๆฅๆใ fact3: ไปฎใซใใใใขใณในใฟใผใฏไปๆ็กใใจใใใใจใฏใชใใใฉๅทใๅทใใใใใจใใใใจใฏๆใ็ซใใชใใจใใใจๅบๆฅๆใใชใ fact4: ไปฎใซใใใฎใดใใดใญLv.41ใฏๅบๆฅๆใใใจใใใใจใฏไบๅฎใ ใจใใใฐใใฎใใกใใใชLv.79ใฏไปๆ็กใ ; $hypothesis$ = ใใฎใใกใใใชLv.79ใฏๅบๆฅๆใใชใ ; $proof$ = | fact1 -> int1: ใใฎใดใใดใญLv.41ใฏไปๆ็กใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{b} fact3: (x): ยฌ(ยฌ{A}x & {C}x) -> ยฌ{B}x fact4: {B}{a} -> {A}{b} ; $hypothesis$ = ยฌ{B}{b} ; $proof$ = | fact1 -> int1: {A}{a}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใใใใฎใใญใใLv.81ใฏๅบๆทฑใใชใใฆใใคไฟๅญใใใชใใใจใใใใจใฏไบๅฎใ ใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆญฃใใ | ยฌ(ยฌ{AA}{a} & ยฌ{AB}{a}) | fact1: ใใใใใขใณในใฟใผใฏๆฑใๆใใใใใ่ฒงใใใชใ fact2: ใชใซใใใใฎใขใณในใฟใผใฏ่ณขใใใชใใจใใใจใใใใฏๅบๆทฑใใจใใใใจใฏใชใใๅ ใใฆไฟๅญใใใชใใใจใใใใจใฏๆใ็ซใใชใ fact3: ใๅ
จใฆใฎใขใณในใฟใผใฏๅฝขๅฎนใ้ฃใใชใใใจใใใใจใฏๆญฃใใ fact4: ใใใใใใขใณในใฟใผใฏๅบๆทฑใใชใใใพใไฟๅญใใใชใใใจใใใใจใฏ้้ใใงใชใ | fact1: (x): ({D}x & ยฌ{C}x) fact2: (x): ยฌ{A}x -> ยฌ(ยฌ{AA}x & ยฌ{AB}x) fact3: (x): ยฌ{ES}x fact4: (x): (ยฌ{AA}x & ยฌ{AB}x) | [
"fact4 -> int1: ใใใใใใขใณในใฟใผใฏๅบๆทฑใใชใใใพใไฟๅญใใใชใใใจใใใใจใฏ้้ใใงใชใ; int1 -> hypothesis;"
] | [
"fact4 -> int1: (x): (ยฌ{AA}x & ยฌ{AB}x); int1 -> hypothesis;"
] | ใใใใใฎใใญใใLv.81ใฏๅบๆทฑใใชใใฆใใคไฟๅญใใใชใใใจใใใใจใฏไบๅฎใ ใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆญฃใใ | ยฌ(ยฌ{AA}{a} & ยฌ{AB}{a}) | [
"fact5 -> int2: ใใฎใใญใใLv.81ใฏ่ณขใใใชใใชใใๅบๆทฑใใจใใใใจใฏใชใใฆใใคไฟๅญใใใชใใใจใใใใจใฏๅใ ;"
] | 4 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใใใใใขใณในใฟใผใฏๆฑใๆใใใใใ่ฒงใใใชใ fact2: ใชใซใใใใฎใขใณในใฟใผใฏ่ณขใใใชใใจใใใจใใใใฏๅบๆทฑใใจใใใใจใฏใชใใๅ ใใฆไฟๅญใใใชใใใจใใใใจใฏๆใ็ซใใชใ fact3: ใๅ
จใฆใฎใขใณในใฟใผใฏๅฝขๅฎนใ้ฃใใชใใใจใใใใจใฏๆญฃใใ fact4: ใใใใใใขใณในใฟใผใฏๅบๆทฑใใชใใใพใไฟๅญใใใชใใใจใใใใจใฏ้้ใใงใชใ ; $hypothesis$ = ใใใใใฎใใญใใLv.81ใฏๅบๆทฑใใชใใฆใใคไฟๅญใใใชใใใจใใใใจใฏไบๅฎใ ใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆญฃใใ ; $proof$ = | fact4 -> int1: ใใใใใใขใณในใฟใผใฏๅบๆทฑใใชใใใพใไฟๅญใใใชใใใจใใใใจใฏ้้ใใงใชใ; int1 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (x): ({D}x & ยฌ{C}x) fact2: (x): ยฌ{A}x -> ยฌ(ยฌ{AA}x & ยฌ{AB}x) fact3: (x): ยฌ{ES}x fact4: (x): (ยฌ{AA}x & ยฌ{AB}x) ; $hypothesis$ = ยฌ(ยฌ{AA}{a} & ยฌ{AB}{a}) ; $proof$ = | fact4 -> int1: (x): (ยฌ{AA}x & ยฌ{AB}x); int1 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใทใซใใทใLv.64ใฏ็ทฉใฟๆใ | {B}{a} | fact1: ใใใใใฎใทใซใใทใLv.64ใไธใใๆใใชใใฐใใฎใทใซใใทใLv.64ใฏๆช็ทดใใพใใใใใใใฏ้ฆฌ้นฟใงใใใใใใใฏไธกๆนใจใใงใใ fact2: ใใใใใฎใทใซใใทใLv.64ใไธใใๆใใชใๆช็ทดใใพใใใชใใ้ฆฌ้นฟใงใใใใใใใฏใฉใกใใใ fact3: ไปฎใซใใฎใทใซใใทใLv.64ใๆช็ทดใใพใใใชใใจใใใฐใใใฏ็ทฉใฟๆใใชใ fact4: ใใฎใทใซใใทใLv.64ใๆช็ทดใใพใใใจใใใใจใฏใชใใใใใใฏ้ฆฌ้นฟใงใใใใพใใฏใฉใกใใใงใใใชใ็ทฉใฟๆใใชใ | fact1: {A}{a} -> ({AA}{a} v {AB}{a}) fact2: {A}{a} -> (ยฌ{AA}{a} v {AB}{a}) fact3: ยฌ{AA}{a} -> ยฌ{B}{a} fact4: (ยฌ{AA}{a} v {AB}{a}) -> ยฌ{B}{a} | [] | [] | null | null | [] | null | 2 | 2 | null | null | 2 | 0 | 2 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใใใใฎใทใซใใทใLv.64ใไธใใๆใใชใใฐใใฎใทใซใใทใLv.64ใฏๆช็ทดใใพใใใใใใใฏ้ฆฌ้นฟใงใใใใใใใฏไธกๆนใจใใงใใ fact2: ใใใใใฎใทใซใใทใLv.64ใไธใใๆใใชใๆช็ทดใใพใใใชใใ้ฆฌ้นฟใงใใใใใใใฏใฉใกใใใ fact3: ไปฎใซใใฎใทใซใใทใLv.64ใๆช็ทดใใพใใใชใใจใใใฐใใใฏ็ทฉใฟๆใใชใ fact4: ใใฎใทใซใใทใLv.64ใๆช็ทดใใพใใใจใใใใจใฏใชใใใใใใฏ้ฆฌ้นฟใงใใใใพใใฏใฉใกใใใงใใใชใ็ทฉใฟๆใใชใ ; $hypothesis$ = ใใฎใทใซใใทใLv.64ใฏ็ทฉใฟๆใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> ({AA}{a} v {AB}{a}) fact2: {A}{a} -> (ยฌ{AA}{a} v {AB}{a}) fact3: ยฌ{AA}{a} -> ยฌ{B}{a} fact4: (ยฌ{AA}{a} v {AB}{a}) -> ยฌ{B}{a} ; $hypothesis$ = {B}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใๆจใใใใใจใใใใจใใใณๅฃไปใใใใใจไธกๆนใจใใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({A} & {B}) | fact1: ใใใใ่พใใจใใใใจใ่ตทใใใฐๅคงไบบๆฐ็กใใจใใใใจใฏ็บ็ใใชใใฆใใใซใฟใใฟใLv.86ไบไปถใฏ่ตทใใใชใ fact2: ใใไปฎใซใฟใใฟใLv.86ไบไปถใฏ่ตทใใชใใจใใใจใๆจใใใใใจใใใใจใจๅฃไปใใใใใจใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใ fact3: ใทใกใใทใซLv.51ไบไปถใ็บ็ใใชใใจใใใใจใฏไพตๅ
ฅใๆใใจใใใใจใจๆใใใใใจใใใใจใฏ็บ็ใใใ็ใใใใ fact4: ๅฃไปใใใใใจใ็บ็ใใ fact5: ใใ่พใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใฏๆใใใใใจใใใใจใซ้ปใพใใ | fact1: {E} -> (ยฌ{D} & ยฌ{C}) fact2: ยฌ{C} -> ยฌ({A} & {B}) fact3: ยฌ{H} -> ({G} & {F}) fact4: {B} fact5: {F} -> {E} | [] | [] | ใๆจใใใใใจใใใใจใใใณๅฃไปใใใใใจไธกๆนใจใใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใ | ยฌ({A} & {B}) | [] | 9 | 2 | 2 | null | null | 4 | 0 | 4 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใใใใ่พใใจใใใใจใ่ตทใใใฐๅคงไบบๆฐ็กใใจใใใใจใฏ็บ็ใใชใใฆใใใซใฟใใฟใLv.86ไบไปถใฏ่ตทใใใชใ fact2: ใใไปฎใซใฟใใฟใLv.86ไบไปถใฏ่ตทใใชใใจใใใจใๆจใใใใใจใใใใจใจๅฃไปใใใใใจใ่ตทใใใใจใใใใจใฏ่ชคใฃใฆใใ fact3: ใทใกใใทใซLv.51ไบไปถใ็บ็ใใชใใจใใใใจใฏไพตๅ
ฅใๆใใจใใใใจใจๆใใใใใจใใใใจใฏ็บ็ใใใ็ใใใใ fact4: ๅฃไปใใใใใจใ็บ็ใใ fact5: ใใ่พใใจใใใใจใฏ่ตทใใใชใใใจใใใใจใฏๆใใใใใจใใใใจใซ้ปใพใใ ; $hypothesis$ = ใๆจใใใใใจใใใใจใใใณๅฃไปใใใใใจไธกๆนใจใใ่ตทใใใใจใใใใจใฏๆใ็ซใใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {E} -> (ยฌ{D} & ยฌ{C}) fact2: ยฌ{C} -> ยฌ({A} & {B}) fact3: ยฌ{H} -> ({G} & {F}) fact4: {B} fact5: {F} -> {E} ; $hypothesis$ = ยฌ({A} & {B}) ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใฎใดใใดใกใLv.21ใฏๅฃใ้ฃใใใจใใใใจใฏ้้ใใงใชใ | {C}{a} | fact1: ใใฎใใใใซใ
Lv.98ใฏๆใๅบๆทฑใ fact2: ใใฎใฟใใฟใกใ
Lv.35ใฏๆใๅบๆทฑใ fact3: ใใฎใดใใดใกใLv.21ใฏ่ปไบบใใใใใใพใใซๆๆญๅบๆฅใ fact4: ใใฎใดใใดใกใLv.21ใฏๆใๅบๆทฑใใใใใๆฆใๆธใ | fact1: {A}{e} fact2: {A}{bu} fact3: ({BQ}{a} & {JH}{a}) fact4: ({A}{a} & {B}{a}) | [
"fact4 -> int1: ใใฎใดใใดใกใLv.21ใฏๆฆใๆธใ;"
] | [
"fact4 -> int1: {B}{a};"
] | null | null | [] | null | 2 | 2 | null | null | 3 | 0 | 3 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใฎใใใใซใ
Lv.98ใฏๆใๅบๆทฑใ fact2: ใใฎใฟใใฟใกใ
Lv.35ใฏๆใๅบๆทฑใ fact3: ใใฎใดใใดใกใLv.21ใฏ่ปไบบใใใใใใพใใซๆๆญๅบๆฅใ fact4: ใใฎใดใใดใกใLv.21ใฏๆใๅบๆทฑใใใใใๆฆใๆธใ ; $hypothesis$ = ใใใฎใดใใดใกใLv.21ใฏๅฃใ้ฃใใใจใใใใจใฏ้้ใใงใชใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{e} fact2: {A}{bu} fact3: ({BQ}{a} & {JH}{a}) fact4: ({A}{a} & {B}{a}) ; $hypothesis$ = {C}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใใไปฎใซใไผผๅใใไธปๅผตใใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใๅๅพฉใๅพใใใขใณในใฟใผใฏใใ | (Ex): ยฌ({AA}x & ยฌ{AB}x) -> {B}x | fact1: ใใไปฎใซใใใฎใฟใซใฟใLv.90ใฏไผผๅใใใใใไธปๅผตใใใจใใใใจใฏใชใใใจใใใใจใฏๅใ ใจใใใจใใใฏๅๅพฉใๅพใ | fact1: ยฌ({AA}{aa} & ยฌ{AB}{aa}) -> {B}{aa} | [
"fact1 -> hypothesis;"
] | [
"fact1 -> hypothesis;"
] | null | null | [] | null | 1 | 1 | 1 | 1 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใใไปฎใซใใใฎใฟใซใฟใLv.90ใฏไผผๅใใใใใไธปๅผตใใใจใใใใจใฏใชใใใจใใใใจใฏๅใ ใจใใใจใใใฏๅๅพฉใๅพใ ; $hypothesis$ = ใใใไปฎใซใไผผๅใใไธปๅผตใใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใใจใใใๅๅพฉใๅพใใใขใณในใฟใผใฏใใ ; $proof$ = | fact1 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ({AA}{aa} & ยฌ{AB}{aa}) -> {B}{aa} ; $hypothesis$ = (Ex): ยฌ({AA}x & ยฌ{AB}x) -> {B}x ; $proof$ = | fact1 -> hypothesis; __PROVED__ |
0.3 | ใใใฎใฟใกใใฟใLv.7ใฏๅบใ้ใใใใจใใใใจใฏๆฌๅฝใงใใ | {C}{b} | fact1: ใใฎใดใใดใLv.63ใฏๅคชใ fact2: ใใใใฎใดใใดใLv.63ใๅคชใใจใใใใใฎใดใใดใLv.63ใฏ็ใ fact3: ไปฎใซใใฎใดใใดใLv.63ใ็ใใจใใใฐใใฎใฟใกใใฟใLv.7ใฏๅบใ้ใใ fact4: ๅคชใใจใใใใจใฏใชใใใใใใฏ็ใใไธกๆนใจใใชใขใณในใฟใผใฏๅบใ้ใใใจใใใใจใฏใชใ | fact1: {A}{a} fact2: {A}{a} -> {B}{a} fact3: {B}{a} -> {C}{b} fact4: (x): (ยฌ{A}x v {B}x) -> ยฌ{C}x | [
"fact2 & fact1 -> int1: ใใฎใดใใดใLv.63ใฏ็ใ; int1 & fact3 -> hypothesis;"
] | [
"fact2 & fact1 -> int1: {B}{a}; int1 & fact3 -> hypothesis;"
] | ใใฎใฟใกใใฟใLv.7ใฏๅบใ้ใใชใ | ยฌ{C}{b} | [
"fact5 -> int2: ไปฎใซใใฎใฟใกใใฟใLv.7ใๅคชใใชใใใใใฏ็ใใใใใใฏไธกๆนใชใใใใฏๅบใ้ใใชใ;"
] | 5 | 2 | 2 | 2 | 2 | 1 | 0 | 1 | PROVED | UNKNOWN | PROVED | UNKNOWN | $facts$ = fact1: ใใฎใดใใดใLv.63ใฏๅคชใ fact2: ใใใใฎใดใใดใLv.63ใๅคชใใจใใใใใฎใดใใดใLv.63ใฏ็ใ fact3: ไปฎใซใใฎใดใใดใLv.63ใ็ใใจใใใฐใใฎใฟใกใใฟใLv.7ใฏๅบใ้ใใ fact4: ๅคชใใจใใใใจใฏใชใใใใใใฏ็ใใไธกๆนใจใใชใขใณในใฟใผใฏๅบใ้ใใใจใใใใจใฏใชใ ; $hypothesis$ = ใใใฎใฟใกใใฟใLv.7ใฏๅบใ้ใใใใจใใใใจใฏๆฌๅฝใงใใ ; $proof$ = | fact2 & fact1 -> int1: ใใฎใดใใดใLv.63ใฏ็ใ; int1 & fact3 -> hypothesis; __PROVED__ | $facts$ = fact1: {A}{a} fact2: {A}{a} -> {B}{a} fact3: {B}{a} -> {C}{b} fact4: (x): (ยฌ{A}x v {B}x) -> ยฌ{C}x ; $hypothesis$ = {C}{b} ; $proof$ = | fact2 & fact1 -> int1: {B}{a}; int1 & fact3 -> hypothesis; __PROVED__ |
0.3 | ใใใฎใฝใใฝใLv.74ใฏๅญใใชใใใฉใใใฏๆจใใใจใใใใจใฏๅฝใงใใ | ยฌ(ยฌ{AA}{a} & {AB}{a}) | fact1: ใใใฎใฝใใฝใLv.74ใฏๅญใใๆจใใใจใใใใจใฏ้้ใใ fact2: ใใใฏๅญใใชใใใใใๆจใใจใใใขใณในใฟใผใฏใชใ fact3: ใใใฏๅญใใใใใฏๆจใใจใใใขใณในใฟใผใฏใชใ | fact1: ยฌ({AA}{a} & {AB}{a}) fact2: (x): ยฌ(ยฌ{AA}x & {AB}x) fact3: (x): ยฌ({AA}x & {AB}x) | [
"fact2 -> int1: ใใใฏๅญใใชใใใใใๆจใใจใใใขใณในใฟใผใฏใชใ; int1 -> hypothesis;"
] | [
"fact2 -> int1: (x): ยฌ(ยฌ{AA}x & {AB}x); int1 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 2 | 0 | 2 | PROVED | null | PROVED | null | $facts$ = fact1: ใใใฎใฝใใฝใLv.74ใฏๅญใใๆจใใใจใใใใจใฏ้้ใใ fact2: ใใใฏๅญใใชใใใใใๆจใใจใใใขใณในใฟใผใฏใชใ fact3: ใใใฏๅญใใใใใฏๆจใใจใใใขใณในใฟใผใฏใชใ ; $hypothesis$ = ใใใฎใฝใใฝใLv.74ใฏๅญใใชใใใฉใใใฏๆจใใใจใใใใจใฏๅฝใงใใ ; $proof$ = | fact2 -> int1: ใใใฏๅญใใชใใใใใๆจใใจใใใขใณในใฟใผใฏใชใ; int1 -> hypothesis; __PROVED__ | $facts$ = fact1: ยฌ({AA}{a} & {AB}{a}) fact2: (x): ยฌ(ยฌ{AA}x & {AB}x) fact3: (x): ยฌ({AA}x & {AB}x) ; $hypothesis$ = ยฌ(ยฌ{AA}{a} & {AB}{a}) ; $proof$ = | fact2 -> int1: (x): ยฌ(ยฌ{AA}x & {AB}x); int1 -> hypothesis; __PROVED__ |
0.3 | ใใฎใฝใใฝใซใLv.70ใฏๆญฉใ้ฃใ | {A}{a} | fact1: ๆใใขใณในใฟใผใฏๅคใๆใใๆญฉใ้ฃใใชใ | fact1: (x): {C}x -> ({B}x & ยฌ{A}x) | [] | [] | ใใฎใฝใใฝใซใLv.70ใฏๆญฉใ้ฃใใชใ | ยฌ{A}{a} | [
"fact2 -> int1: ใใฎใฝใใฝใซใLv.70ใๆใใจใใใจๅคใๆใใฆใใใซใใใฏๆญฉใ้ฃใใชใ;"
] | 5 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ๆใใขใณในใฟใผใฏๅคใๆใใๆญฉใ้ฃใใชใ ; $hypothesis$ = ใใฎใฝใใฝใซใLv.70ใฏๆญฉใ้ฃใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {C}x -> ({B}x & ยฌ{A}x) ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ่ฆ้้ใใใใจใ็ใใ | {A} | fact1: ใพใใพใซใLv.94ไบไปถใฏ็ใ
ใใใจใใใใจใซใใใใใใ fact2: ใใใใใกใ
Lv.43ไบไปถใ่ตทใใไธๆนใง็ใ
ใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏ้้ใใงใใ fact3: ไปฎใซใใใใใกใ
Lv.43ไบไปถใ่ตทใใใใฉ็ใ
ใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐใพใใพใซใLv.94ไบไปถใ็ใใ | fact1: {AB} -> {B} fact2: ยฌ({AA} & ยฌ{AB}) fact3: ยฌ({AA} & ยฌ{AB}) -> {B} | [
"fact3 & fact2 -> int1: ใพใใพใซใLv.94ไบไปถใ่ตทใใ;"
] | [
"fact3 & fact2 -> int1: {B};"
] | null | null | [] | null | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใพใใพใซใLv.94ไบไปถใฏ็ใ
ใใใจใใใใจใซใใใใใใ fact2: ใใใใใกใ
Lv.43ไบไปถใ่ตทใใไธๆนใง็ใ
ใใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏ้้ใใงใใ fact3: ไปฎใซใใใใใกใ
Lv.43ไบไปถใ่ตทใใใใฉ็ใ
ใใใจใใใใจใฏ็ใใชใใใจใใใใจใฏๆใ็ซใใชใใชใใฐใพใใพใซใLv.94ไบไปถใ็ใใ ; $hypothesis$ = ่ฆ้้ใใใใจใ็ใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {AB} -> {B} fact2: ยฌ({AA} & ยฌ{AB}) fact3: ยฌ({AA} & ยฌ{AB}) -> {B} ; $hypothesis$ = {A} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใดใชใดใซLv.36ใฏๆจใ | {A}{a} | fact1: ใในใฆใฎใขใณในใฟใผใฏๅฃใใใชใ fact2: ใในใฆใฎใขใณในใฟใผใฏๅฒใ้ฃใ fact3: ใใไปฎใซใใฎใดใชใดใซLv.36ใ็ฒใฃใฝใใจใใใจใใฎใฝใใฝใซใ
Lv.65ใฏ้ซใ fact4: ่ฆใใชใใขใณในใฟใผใฏๆจใใๅ ใใฆไปฒ็ฆใพใใ fact5: ใ้ซใใขใณในใฟใผใฏ่ฆใใชใใใจใใใใจใฏๆใ็ซใค | fact1: (x): {AI}x fact2: (x): {DN}x fact3: {E}{a} -> {D}{cr} fact4: (x): ยฌ{C}x -> ({A}x & {B}x) fact5: (x): {D}x -> ยฌ{C}x | [] | [] | ใใฎใฝใใฝใซใ
Lv.65ใฏๆจใ | {A}{cr} | [
"fact8 -> int1: ใใใใใฎใฝใใฝใซใ
Lv.65ใ่ฆใใชใใจใใใจใใใฏๆจใใใใพใใซใใใฏไปฒ็ฆใพใใ; fact6 -> int2: ใใใใใฎใฝใใฝใซใ
Lv.65ใฏ้ซใใจใใใฐใใใฎใฝใใฝใซใ
Lv.65ใฏ่ฆใใชใใใจใใใใจใฏๆฌๅฝใงใใ;"
] | 6 | 2 | 2 | null | null | 5 | 0 | 5 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ใในใฆใฎใขใณในใฟใผใฏๅฃใใใชใ fact2: ใในใฆใฎใขใณในใฟใผใฏๅฒใ้ฃใ fact3: ใใไปฎใซใใฎใดใชใดใซLv.36ใ็ฒใฃใฝใใจใใใจใใฎใฝใใฝใซใ
Lv.65ใฏ้ซใ fact4: ่ฆใใชใใขใณในใฟใผใฏๆจใใๅ ใใฆไปฒ็ฆใพใใ fact5: ใ้ซใใขใณในใฟใผใฏ่ฆใใชใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใใฎใดใชใดใซLv.36ใฏๆจใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): {AI}x fact2: (x): {DN}x fact3: {E}{a} -> {D}{cr} fact4: (x): ยฌ{C}x -> ({A}x & {B}x) fact5: (x): {D}x -> ยฌ{C}x ; $hypothesis$ = {A}{a} ; $proof$ = | __UNKNOWN__ |
0.3 | ใใฎใใซใใใกใLv.61ใฏๅพกๆฐใซ็บใใ | {B}{b} | fact1: ๆใ้ฃใใขใณในใฟใผใๆธใใชใๅพกๆฐใซ็บใใใชใ fact2: ใใใฎใพใชใพใLv.39ใฏๆใ้ฃใใใจใใใใจใฏไบๅฎใ | fact1: (x): ({A}x & {C}x) -> ยฌ{B}x fact2: {A}{a} | [
"fact2 -> int1: ใใใฎใพใชใพใLv.39ใฏๆใ้ฃใใใจใใใใจใฏไบๅฎใ ;"
] | [
"fact2 -> int1: {A}{a};"
] | ใใฎใใซใใใกใLv.61ใฏๅพกๆฐใซ็บใใใจใใใใจใฏใชใ | ยฌ{B}{b} | [
"fact3 -> int2: ใใไปฎใซใใฎใใซใใใกใLv.61ใฏๆใ้ฃใใฆๆธใใชใใใใฏๅพกๆฐใซ็บใใใชใ;"
] | 4 | 2 | 2 | null | null | 1 | 0 | 1 | UNKNOWN | UNKNOWN | UNKNOWN | UNKNOWN | $facts$ = fact1: ๆใ้ฃใใขใณในใฟใผใๆธใใชใๅพกๆฐใซ็บใใใชใ fact2: ใใใฎใพใชใพใLv.39ใฏๆใ้ฃใใใจใใใใจใฏไบๅฎใ ; $hypothesis$ = ใใฎใใซใใใกใLv.61ใฏๅพกๆฐใซ็บใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: (x): ({A}x & {C}x) -> ยฌ{B}x fact2: {A}{a} ; $hypothesis$ = {B}{b} ; $proof$ = | __UNKNOWN__ |
0.3 | ใๅฐใชใใจใใใใจใจๅทไปใๆใใจใใใใจไธกๆนใ็ใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ | ยฌ({B} & {C}) | fact1: ใทใใทใซLv.73ไบไปถใฏใๅฐใชใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใ้ฒใ fact2: ๅทไปใๆใใจใใใใจใ็บ็ใใ fact3: ไปฎใซใทใใทใซLv.73ไบไปถใฏ่ตทใใชใใชใใๅฐใชใใจใใใใจใใใณๅทไปใๆใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact4: ใๅทไปใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏใไธๅณใใจใใใใจใใใณๅฐใชใใจใใใใจใ็บ็ใใใใจใใใใจใ็บ็ใใใ fact5: ใใทใใทใซLv.73ไบไปถใ่ตทใใใใจใใใใจใฏๆใ็ซใค | fact1: {A} -> {B} fact2: {C} fact3: ยฌ{A} -> ยฌ({B} & {C}) fact4: ยฌ{C} -> ({CB} & {B}) fact5: {A} | [
"fact1 & fact5 -> int1: ๅฐใชใใจใใใใจใ่ตทใใ; int1 & fact2 -> hypothesis;"
] | [
"fact1 & fact5 -> int1: {B}; int1 & fact2 -> hypothesis;"
] | ใๅฐใชใใจใใใใจใจๅทไปใๆใใจใใใใจไธกๆนใ็ใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ | ยฌ({B} & {C}) | [] | 6 | 2 | 2 | 2 | 2 | 2 | 0 | 2 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใทใใทใซLv.73ไบไปถใฏใๅฐใชใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใ้ฒใ fact2: ๅทไปใๆใใจใใใใจใ็บ็ใใ fact3: ไปฎใซใทใใทใซLv.73ไบไปถใฏ่ตทใใชใใชใใๅฐใชใใจใใใใจใใใณๅทไปใๆใใจใใใใจใ็ใใใใจใใใใจใฏๆใ็ซใใชใ fact4: ใๅทไปใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏใไธๅณใใจใใใใจใใใณๅฐใชใใจใใใใจใ็บ็ใใใใจใใใใจใ็บ็ใใใ fact5: ใใทใใทใซLv.73ไบไปถใ่ตทใใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใๅฐใชใใจใใใใจใจๅทไปใๆใใจใใใใจไธกๆนใ็ใใใใจใใใใจใฏๆใ็ซใคใจใใใใจใฏใชใ ; $proof$ = | fact1 & fact5 -> int1: ๅฐใชใใจใใใใจใ่ตทใใ; int1 & fact2 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {A} -> {B} fact2: {C} fact3: ยฌ{A} -> ยฌ({B} & {C}) fact4: ยฌ{C} -> ({CB} & {B}) fact5: {A} ; $hypothesis$ = ยฌ({B} & {C}) ; $proof$ = | fact1 & fact5 -> int1: {B}; int1 & fact2 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใฟใใฟใLv.17ใฏ็ผใ้ฃใใจใใใใจใฏใชใใใใพใใซ่กใใๆใใชใ | (ยฌ{C}{a} & ยฌ{B}{a}) | fact1: ใๅใๆใใใขใณในใฟใผใฏใใ fact2: ใใใใชใซใใใใฎใขใณในใฟใผใฏๅใๆใใชใใใจใใใใจใฏๆญฃใใใชใใใใฏ็ผใ้ฃใใชใใ่กใใๆใใชใ fact3: ใใไปฎใซใใๅใๆใใใจใใใใจใฏ่ชคใใงใชใใใขใณในใฟใผใฏใใใจใใใใใใใฎใฟใใฟใLv.17ใฏ็ผใ้ฃใใชใใใใใฏ่กใใๆใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆใ็ซใค fact4: ใใใฎใฟใใฟใLv.17ใฏใใผใใใชใใฆใพใๅ
ฅใๅใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใใจใใใจใใฎใฟใใฟใLv.17ใฏๅใๆใใจใใใใจใฏใชใ fact5: ไปฎใซใจใใใขใณในใฟใผใฏ่จใ่พใใจใใใจใใใใฏใใผใใใชใใฆใใใซๅ
ฅใๅใใชใใใจใใใใจใฏๆใ็ซใใชใ | fact1: (Ex): {A}x fact2: (x): ยฌ{A}x -> (ยฌ{C}x & ยฌ{B}x) fact3: (x): {A}x -> ยฌ(ยฌ{C}{a} & ยฌ{B}{a}) fact4: ยฌ(ยฌ{E}{a} & ยฌ{D}{a}) -> ยฌ{A}{a} fact5: (x): {F}x -> ยฌ(ยฌ{E}x & ยฌ{D}x) | [
"fact1 -> int1: ใๅใๆใใใขใณในใฟใผใฏใใ; int1 & fact3 -> hypothesis;"
] | [
"fact1 -> int1: (Ex): {A}x; int1 & fact3 -> hypothesis;"
] | ใใฎใฟใใฟใLv.17ใฏ็ผใ้ฃใใจใใใใจใฏใชใใใใพใใซ่กใใๆใใชใ | (ยฌ{C}{a} & ยฌ{B}{a}) | [
"fact7 -> int2: ใใฎใฟใใฟใLv.17ใๅใๆใใชใใชใใฐใใฎใฟใใฟใLv.17ใฏ็ผใ้ฃใใชใใฆใใใซ่กใใๆใใชใ; fact8 -> int3: ใใไปฎใซใใฎใฟใใฟใLv.17ใฏ่จใ่พใใจใใใใใใใฏใใผใใใจใใใใจใฏใชใใฆๅ
ฅใๅใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใ;"
] | 6 | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | UNKNOWN | DISPROVED | UNKNOWN | $facts$ = fact1: ใๅใๆใใใขใณในใฟใผใฏใใ fact2: ใใใใชใซใใใใฎใขใณในใฟใผใฏๅใๆใใชใใใจใใใใจใฏๆญฃใใใชใใใใฏ็ผใ้ฃใใชใใ่กใใๆใใชใ fact3: ใใไปฎใซใใๅใๆใใใจใใใใจใฏ่ชคใใงใชใใใขใณในใฟใผใฏใใใจใใใใใใใฎใฟใใฟใLv.17ใฏ็ผใ้ฃใใชใใใใใฏ่กใใๆใใจใใใใจใฏใชใใใจใใใใจใฏๆใ็ซใใชใใใจใใใใจใฏๆใ็ซใค fact4: ใใใฎใฟใใฟใLv.17ใฏใใผใใใชใใฆใพใๅ
ฅใๅใใชใใใจใใใใจใฏไบๅฎใจ็ฐใชใใจใใใจใใฎใฟใใฟใLv.17ใฏๅใๆใใจใใใใจใฏใชใ fact5: ไปฎใซใจใใใขใณในใฟใผใฏ่จใ่พใใจใใใจใใใใฏใใผใใใชใใฆใใใซๅ
ฅใๅใใชใใใจใใใใจใฏๆใ็ซใใชใ ; $hypothesis$ = ใใฎใฟใใฟใLv.17ใฏ็ผใ้ฃใใจใใใใจใฏใชใใใใพใใซ่กใใๆใใชใ ; $proof$ = | fact1 -> int1: ใๅใๆใใใขใณในใฟใผใฏใใ; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: (Ex): {A}x fact2: (x): ยฌ{A}x -> (ยฌ{C}x & ยฌ{B}x) fact3: (x): {A}x -> ยฌ(ยฌ{C}{a} & ยฌ{B}{a}) fact4: ยฌ(ยฌ{E}{a} & ยฌ{D}{a}) -> ยฌ{A}{a} fact5: (x): {F}x -> ยฌ(ยฌ{E}x & ยฌ{D}x) ; $hypothesis$ = (ยฌ{C}{a} & ยฌ{B}{a}) ; $proof$ = | fact1 -> int1: (Ex): {A}x; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ใทใใทใกใ
Lv.34ไบไปถใฏ็บ็ใใชใ | ยฌ{C} | fact1: ๅใฃใฝใใจใใใใจใฏๅใ้ฃใใจใใใใจใๅผใ่ตทใใ fact2: ใใใใLv.32ไบไปถใฏ็ใใชใใจใใใใจใฏ้ใใจใใใใจใซ้ปๆญขใใใ fact3: ใใใใLv.32ไบไปถใฏใใทใใทใกใ
Lv.34ไบไปถใ็บ็ใใใใจใใใใจใ่ช็บใใ fact4: ้ใใจใใใใจใ่ตทใใ fact5: ใพใใพใLv.40ไบไปถใ็บ็ใใ fact6: ่จใๆใใจใใใใจใ่ตทใใ | fact1: {AC} -> {AS} fact2: {A} -> {B} fact3: {B} -> {C} fact4: {A} fact5: {BU} fact6: {ES} | [
"fact2 & fact4 -> int1: ใใใใLv.32ไบไปถใ็บ็ใใ; int1 & fact3 -> hypothesis;"
] | [
"fact2 & fact4 -> int1: {B}; int1 & fact3 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 3 | 0 | 3 | DISPROVED | null | DISPROVED | null | $facts$ = fact1: ๅใฃใฝใใจใใใใจใฏๅใ้ฃใใจใใใใจใๅผใ่ตทใใ fact2: ใใใใLv.32ไบไปถใฏ็ใใชใใจใใใใจใฏ้ใใจใใใใจใซ้ปๆญขใใใ fact3: ใใใใLv.32ไบไปถใฏใใทใใทใกใ
Lv.34ไบไปถใ็บ็ใใใใจใใใใจใ่ช็บใใ fact4: ้ใใจใใใใจใ่ตทใใ fact5: ใพใใพใLv.40ไบไปถใ็บ็ใใ fact6: ่จใๆใใจใใใใจใ่ตทใใ ; $hypothesis$ = ใทใใทใกใ
Lv.34ไบไปถใฏ็บ็ใใชใ ; $proof$ = | fact2 & fact4 -> int1: ใใใใLv.32ไบไปถใ็บ็ใใ; int1 & fact3 -> hypothesis; __DISPROVED__ | $facts$ = fact1: {AC} -> {AS} fact2: {A} -> {B} fact3: {B} -> {C} fact4: {A} fact5: {BU} fact6: {ES} ; $hypothesis$ = ยฌ{C} ; $proof$ = | fact2 & fact4 -> int1: {B}; int1 & fact3 -> hypothesis; __DISPROVED__ |
0.3 | ใใฎใทใใทใซใ
Lv.88ใฏๅฃๆใใ | {C}{c} | fact1: ใใไปฎใซใใฎใฟใซใฟใชLv.58ใใใฉใในใใใใจใใใใใฎใฝใซใ
ใฝใกใLv.96ใฏๅใ
ใใ fact2: ใใฎใฟใซใฟใชLv.58ใฏใใฉใในใใใ | fact1: {A}{a} -> {B}{b} fact2: {A}{a} | [
"fact1 & fact2 -> int1: ใใฎใฝใซใ
ใฝใกใLv.96ใฏๅใ
ใใ;"
] | [
"fact1 & fact2 -> int1: {B}{b};"
] | null | null | [] | null | 2 | 2 | null | null | 0 | 0 | 0 | UNKNOWN | null | UNKNOWN | null | $facts$ = fact1: ใใไปฎใซใใฎใฟใซใฟใชLv.58ใใใฉใในใใใใจใใใใใฎใฝใซใ
ใฝใกใLv.96ใฏๅใ
ใใ fact2: ใใฎใฟใซใฟใชLv.58ใฏใใฉใในใใใ ; $hypothesis$ = ใใฎใทใใทใซใ
Lv.88ใฏๅฃๆใใ ; $proof$ = | __UNKNOWN__ | $facts$ = fact1: {A}{a} -> {B}{b} fact2: {A}{a} ; $hypothesis$ = {C}{c} ; $proof$ = | __UNKNOWN__ |
0.3 | ใ่ใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏไบๅฎใงใใ | ยฌ{C} | fact1: ใดใใดใกใ
Lv.83ไบไปถใ่ตทใใ fact2: ๆใๆใใจใใใใจใใใณใดใใดใกใ
Lv.83ไบไปถใ็ใใใฏ่ใๆใใจใใใใจใๅ้ฟใใ fact3: ใๆใๆใใจใใใใจใ็บ็ใใใใจใใใใจใฏๆใ็ซใค | fact1: {B} fact2: ({A} & {B}) -> ยฌ{C} fact3: {A} | [
"fact3 & fact1 -> int1: ๆใๆใใจใใใใจใจใดใใดใกใ
Lv.83ไบไปถไธกๆนใ่ตทใใ; int1 & fact2 -> hypothesis;"
] | [
"fact3 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis;"
] | null | null | [] | null | 2 | 2 | 2 | 2 | 0 | 0 | 0 | PROVED | null | PROVED | null | $facts$ = fact1: ใดใใดใกใ
Lv.83ไบไปถใ่ตทใใ fact2: ๆใๆใใจใใใใจใใใณใดใใดใกใ
Lv.83ไบไปถใ็ใใใฏ่ใๆใใจใใใใจใๅ้ฟใใ fact3: ใๆใๆใใจใใใใจใ็บ็ใใใใจใใใใจใฏๆใ็ซใค ; $hypothesis$ = ใ่ใๆใใจใใใใจใฏ็บ็ใใชใใใจใใใใจใฏไบๅฎใงใใ ; $proof$ = | fact3 & fact1 -> int1: ๆใๆใใจใใใใจใจใดใใดใกใ
Lv.83ไบไปถไธกๆนใ่ตทใใ; int1 & fact2 -> hypothesis; __PROVED__ | $facts$ = fact1: {B} fact2: ({A} & {B}) -> ยฌ{C} fact3: {A} ; $hypothesis$ = ยฌ{C} ; $proof$ = | fact3 & fact1 -> int1: ({A} & {B}); int1 & fact2 -> hypothesis; __PROVED__ |
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