TSTP Solution File: LCL034-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 13:51:35 EDT 2022
% Result : Unsatisfiable 9.63s 9.79s
% Output : Refutation 9.63s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c0_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(c0_CAMerideth,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X6,X8),implies(X4,falsehood)),X7),X5),implies(implies(X5,X6),implies(X4,X6)))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X10,X13),implies(X9,falsehood)),X12),X11))
| is_a_theorem(implies(implies(X11,X10),implies(X9,X10))) ),
inference(resolution,status(thm),[c0_CAMerideth,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(implies(X16,X15),implies(X14,X15)),implies(X15,X17)),implies(X18,implies(X15,X17)))),
inference(resolution,status(thm),[c0,c0_CAMerideth]) ).
cnf(c2,plain,
( ~ is_a_theorem(implies(implies(implies(X23,X20),implies(X19,X20)),implies(X20,X21)))
| is_a_theorem(implies(X22,implies(X20,X21))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c3,plain,
is_a_theorem(implies(implies(implies(X38,implies(falsehood,X37)),X36),implies(X39,X36))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(implies(X42,X44),X43),implies(falsehood,X43))),
inference(resolution,status(thm),[c3,c0]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(falsehood,X174),X172),implies(X173,X172))),
inference(resolution,status(thm),[c14,c0]) ).
cnf(c128,plain,
is_a_theorem(implies(X179,implies(X177,implies(X178,X177)))),
inference(resolution,status(thm),[c22,c2]) ).
cnf(c130,plain,
( ~ is_a_theorem(X182)
| is_a_theorem(implies(X180,implies(X181,X180))) ),
inference(resolution,status(thm),[c128,condensed_detachment]) ).
cnf(c135,plain,
is_a_theorem(implies(X183,implies(X184,X183))),
inference(resolution,status(thm),[c130,c1]) ).
cnf(c151,plain,
is_a_theorem(implies(X393,implies(X390,implies(implies(X391,X390),implies(X392,X390))))),
inference(resolution,status(thm),[c135,c2]) ).
cnf(c200,plain,
( ~ is_a_theorem(X443)
| is_a_theorem(implies(X444,implies(implies(X442,X444),implies(X445,X444)))) ),
inference(resolution,status(thm),[c151,condensed_detachment]) ).
cnf(c238,plain,
is_a_theorem(implies(X447,implies(implies(X446,X447),implies(X448,X447)))),
inference(resolution,status(thm),[c200,c1]) ).
cnf(c253,plain,
( ~ is_a_theorem(X502)
| is_a_theorem(implies(implies(X503,X502),implies(X501,X502))) ),
inference(resolution,status(thm),[c238,condensed_detachment]) ).
cnf(c149,plain,
( ~ is_a_theorem(X219)
| is_a_theorem(implies(X220,X219)) ),
inference(resolution,status(thm),[c135,condensed_detachment]) ).
cnf(c131,plain,
is_a_theorem(implies(implies(implies(X384,implies(X385,X384)),X383),implies(X386,X383))),
inference(resolution,status(thm),[c128,c0]) ).
cnf(c197,plain,
is_a_theorem(implies(X691,implies(implies(implies(X694,implies(X690,X694)),X692),implies(X693,X692)))),
inference(resolution,status(thm),[c131,c149]) ).
cnf(c296,plain,
is_a_theorem(implies(implies(X2135,implies(X2134,implies(implies(implies(X2139,implies(X2133,X2139)),X2138),implies(X2137,X2138)))),implies(X2136,implies(X2134,implies(implies(implies(X2139,implies(X2133,X2139)),X2138),implies(X2137,X2138)))))),
inference(resolution,status(thm),[c197,c253]) ).
cnf(c766,plain,
is_a_theorem(implies(implies(X7013,implies(implies(X7018,implies(X7010,implies(implies(implies(X7016,implies(X7014,X7016)),X7012),implies(X7015,X7012)))),implies(X7011,implies(X7010,implies(implies(implies(X7016,implies(X7014,X7016)),X7012),implies(X7015,X7012)))))),implies(X7017,implies(implies(X7018,implies(X7010,implies(implies(implies(X7016,implies(X7014,X7016)),X7012),implies(X7015,X7012)))),implies(X7011,implies(X7010,implies(implies(implies(X7016,implies(X7014,X7016)),X7012),implies(X7015,X7012)))))))),
inference(resolution,status(thm),[c296,c253]) ).
cnf(c195,plain,
( ~ is_a_theorem(implies(implies(X405,implies(X403,X405)),X404))
| is_a_theorem(implies(X406,X404)) ),
inference(resolution,status(thm),[c131,condensed_detachment]) ).
cnf(c225,plain,
is_a_theorem(implies(X1334,implies(implies(implies(X1332,implies(implies(implies(X1333,X1336),implies(X1331,falsehood)),X1335)),X1333),implies(X1331,X1333)))),
inference(resolution,status(thm),[c195,c0_CAMerideth]) ).
cnf(c150,plain,
is_a_theorem(implies(implies(implies(X1078,implies(implies(implies(X1075,X1076),implies(X1079,falsehood)),X1077)),X1075),implies(X1079,X1075))),
inference(resolution,status(thm),[c135,c0]) ).
cnf(c411,plain,
is_a_theorem(implies(implies(implies(X2106,X2104),X2103),implies(implies(implies(X2104,X2105),implies(X2106,falsehood)),X2103))),
inference(resolution,status(thm),[c150,c0]) ).
cnf(c741,plain,
( ~ is_a_theorem(implies(implies(X3465,X3467),X3468))
| is_a_theorem(implies(implies(implies(X3467,X3466),implies(X3465,falsehood)),X3468)) ),
inference(resolution,status(thm),[c411,condensed_detachment]) ).
cnf(c1243,plain,
is_a_theorem(implies(implies(implies(X3480,X3481),implies(X3482,falsehood)),implies(X3479,implies(X3482,X3480)))),
inference(resolution,status(thm),[c741,c135]) ).
cnf(c1255,plain,
( ~ is_a_theorem(implies(implies(X3604,X3603),implies(X3606,falsehood)))
| is_a_theorem(implies(X3605,implies(X3606,X3604))) ),
inference(resolution,status(thm),[c1243,condensed_detachment]) ).
cnf(c1318,plain,
is_a_theorem(implies(X3681,implies(implies(implies(X3683,X3682),implies(X3684,falsehood)),implies(X3684,X3683)))),
inference(resolution,status(thm),[c1255,c411]) ).
cnf(c1391,plain,
( ~ is_a_theorem(X3746)
| is_a_theorem(implies(implies(implies(X3747,X3745),implies(X3748,falsehood)),implies(X3748,X3747))) ),
inference(resolution,status(thm),[c1318,condensed_detachment]) ).
cnf(c1410,plain,
is_a_theorem(implies(implies(implies(X3758,X3757),implies(X3756,falsehood)),implies(X3756,X3758))),
inference(resolution,status(thm),[c1391,c225]) ).
cnf(c1500,plain,
is_a_theorem(implies(implies(implies(X3777,implies(X3775,X3776)),X3775),implies(X3778,X3775))),
inference(resolution,status(thm),[c1410,c0]) ).
cnf(c1509,plain,
is_a_theorem(implies(implies(implies(X3783,X3784),X3782),implies(X3784,X3782))),
inference(resolution,status(thm),[c1500,c0]) ).
cnf(c1520,plain,
is_a_theorem(implies(implies(implies(implies(X6937,falsehood),X6936),X6935),implies(X6937,X6935))),
inference(resolution,status(thm),[c1509,c0]) ).
cnf(c4213,plain,
is_a_theorem(implies(implies(implies(X7052,X7054),X7052),implies(X7053,X7052))),
inference(resolution,status(thm),[c1520,c0]) ).
cnf(c1503,plain,
( ~ is_a_theorem(implies(implies(X6738,X6736),implies(X6737,falsehood)))
| is_a_theorem(implies(X6737,X6738)) ),
inference(resolution,status(thm),[c1410,condensed_detachment]) ).
cnf(c4224,plain,
is_a_theorem(implies(X6954,implies(implies(X6954,falsehood),X6953))),
inference(resolution,status(thm),[c1520,c1503]) ).
cnf(c4228,plain,
( ~ is_a_theorem(implies(implies(implies(X8644,falsehood),X8645),X8646))
| is_a_theorem(implies(X8644,X8646)) ),
inference(resolution,status(thm),[c1520,condensed_detachment]) ).
cnf(c6073,plain,
is_a_theorem(implies(X11622,implies(implies(implies(implies(X11622,falsehood),X11621),falsehood),X11623))),
inference(resolution,status(thm),[c4228,c4224]) ).
cnf(c8824,plain,
is_a_theorem(implies(implies(implies(implies(implies(X12124,X12125),falsehood),X12123),falsehood),X12124)),
inference(resolution,status(thm),[c6073,c1503]) ).
cnf(c9086,plain,
is_a_theorem(implies(implies(X12140,implies(X12140,X12141)),implies(X12142,implies(X12140,X12141)))),
inference(resolution,status(thm),[c8824,c0]) ).
cnf(c9166,plain,
( ~ is_a_theorem(implies(X12299,implies(X12299,X12300)))
| is_a_theorem(implies(X12301,implies(X12299,X12300))) ),
inference(resolution,status(thm),[c9086,condensed_detachment]) ).
cnf(c9518,plain,
is_a_theorem(implies(X12337,implies(implies(implies(X12338,X12336),X12338),X12338))),
inference(resolution,status(thm),[c9166,c4213]) ).
cnf(c9748,plain,
( ~ is_a_theorem(X12476)
| is_a_theorem(implies(implies(implies(X12475,X12474),X12475),X12475)) ),
inference(resolution,status(thm),[c9518,condensed_detachment]) ).
cnf(c9844,plain,
is_a_theorem(implies(implies(implies(X12484,X12485),X12484),X12484)),
inference(resolution,status(thm),[c9748,c766]) ).
cnf(c10080,plain,
$false,
inference(resolution,status(thm),[c9844,prove_c0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 3 22:36:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 9.63/9.79 # Version: 1.3
% 9.63/9.79 # SZS status Unsatisfiable
% 9.63/9.79 # SZS output start CNFRefutation
% See solution above
% 9.63/9.79
% 9.63/9.79 # Initial clauses : 3
% 9.63/9.79 # Processed clauses : 370
% 9.63/9.79 # Factors computed : 0
% 9.63/9.79 # Resolvents computed: 10109
% 9.63/9.79 # Tautologies deleted: 1
% 9.63/9.79 # Forward subsumed : 2642
% 9.63/9.79 # Backward subsumed : 75
% 9.63/9.79 # -------- CPU Time ---------
% 9.63/9.79 # User time : 9.407 s
% 9.63/9.79 # System time : 0.026 s
% 9.63/9.79 # Total time : 9.433 s
%------------------------------------------------------------------------------