TSTP Solution File: LCL057-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL057-1 : 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 13:51:44 EDT 2022
% Result : Unsatisfiable 51.49s 51.71s
% Output : Refutation 51.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_40,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
input ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
input ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X10,X12),implies(implies(X12,X11),implies(X10,X11)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X21,X23))
| is_a_theorem(implies(implies(X23,X22),implies(X21,X22))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(not(X31),X32),X33),implies(X31,X33))),
inference(resolution,status(thm),[c4,cn_3]) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(implies(not(X49),X51),X50))
| is_a_theorem(implies(X49,X50)) ),
inference(resolution,status(thm),[c13,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X113,X111),implies(X110,X111)),X112),implies(implies(X110,X113),X112))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c116,plain,
( ~ is_a_theorem(implies(implies(implies(X1455,X1456),implies(X1458,X1456)),X1457))
| is_a_theorem(implies(implies(X1458,X1455),X1457)) ),
inference(resolution,status(thm),[c16,condensed_detachment]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,status(thm),[condensed_detachment,cn_2]) ).
cnf(c1,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X9)) ),
inference(resolution,status(thm),[condensed_detachment,cn_3]) ).
cnf(c42,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,status(thm),[c21,cn_2]) ).
cnf(c56,plain,
is_a_theorem(implies(not(implies(X60,X60)),X61)),
inference(resolution,status(thm),[c42,c1]) ).
cnf(c59,plain,
is_a_theorem(implies(implies(X115,X114),implies(not(implies(X116,X116)),X114))),
inference(resolution,status(thm),[c56,c4]) ).
cnf(c123,plain,
is_a_theorem(implies(X117,implies(not(implies(X119,X119)),X118))),
inference(resolution,status(thm),[c59,c21]) ).
cnf(c126,plain,
is_a_theorem(implies(implies(implies(not(implies(X212,X212)),X215),X214),implies(X213,X214))),
inference(resolution,status(thm),[c123,c4]) ).
cnf(c252,plain,
( ~ is_a_theorem(implies(implies(not(implies(X219,X219)),X218),X216))
| is_a_theorem(implies(X217,X216)) ),
inference(resolution,status(thm),[c126,condensed_detachment]) ).
cnf(c257,plain,
is_a_theorem(implies(X224,implies(X223,X223))),
inference(resolution,status(thm),[c252,cn_2]) ).
cnf(c278,plain,
is_a_theorem(implies(implies(implies(X289,X289),X291),implies(X290,X291))),
inference(resolution,status(thm),[c257,c4]) ).
cnf(c356,plain,
( ~ is_a_theorem(implies(implies(X300,X300),X301))
| is_a_theorem(implies(X299,X301)) ),
inference(resolution,status(thm),[c278,condensed_detachment]) ).
cnf(c377,plain,
is_a_theorem(implies(X308,implies(X306,implies(X307,X307)))),
inference(resolution,status(thm),[c356,c278]) ).
cnf(c389,plain,
is_a_theorem(implies(implies(implies(X437,implies(X434,X434)),X435),implies(X436,X435))),
inference(resolution,status(thm),[c377,c4]) ).
cnf(c469,plain,
( ~ is_a_theorem(implies(implies(X475,implies(X472,X472)),X473))
| is_a_theorem(implies(X474,X473)) ),
inference(resolution,status(thm),[c389,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
inference(resolution,status(thm),[c4,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,status(thm),[c12,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(implies(implies(not(implies(X264,X263)),implies(X264,X263)),implies(implies(not(X264),X264),X263))),
inference(resolution,status(thm),[c18,c12]) ).
cnf(c332,plain,
is_a_theorem(implies(X278,implies(implies(not(X277),X277),X277))),
inference(resolution,status(thm),[c28,c252]) ).
cnf(c335,plain,
is_a_theorem(implies(implies(implies(implies(not(X908),X908),X908),X909),implies(X907,X909))),
inference(resolution,status(thm),[c332,c4]) ).
cnf(c1208,plain,
is_a_theorem(implies(implies(X2177,implies(not(X2179),X2179)),implies(X2178,implies(X2177,X2179)))),
inference(resolution,status(thm),[c116,c335]) ).
cnf(c2261,plain,
is_a_theorem(implies(implies(not(X2517),X2518),implies(X2516,implies(implies(X2518,X2517),X2517)))),
inference(resolution,status(thm),[c1208,c116]) ).
cnf(c2815,plain,
is_a_theorem(implies(X2533,implies(X2532,implies(implies(implies(X2531,X2531),X2530),X2530)))),
inference(resolution,status(thm),[c2261,c469]) ).
cnf(c3012,plain,
is_a_theorem(implies(X2535,implies(implies(implies(X2534,X2534),X2536),X2536))),
inference(resolution,status(thm),[c2815,c0]) ).
cnf(c3035,plain,
is_a_theorem(implies(implies(implies(X2538,X2538),X2537),X2537)),
inference(resolution,status(thm),[c3012,c0]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(implies(X162,X163),X165),implies(implies(implies(not(X162),X164),X163),X165))),
inference(resolution,status(thm),[c13,c4]) ).
cnf(c209,plain,
( ~ is_a_theorem(implies(implies(X3072,X3069),X3070))
| is_a_theorem(implies(implies(implies(not(X3072),X3071),X3069),X3070)) ),
inference(resolution,status(thm),[c20,condensed_detachment]) ).
cnf(c4128,plain,
is_a_theorem(implies(implies(implies(not(implies(X3239,X3239)),X3237),X3238),X3238)),
inference(resolution,status(thm),[c209,c3035]) ).
cnf(c4437,plain,
( ~ is_a_theorem(implies(implies(not(implies(X3318,X3318)),X3317),X3319))
| is_a_theorem(X3319) ),
inference(resolution,status(thm),[c4128,condensed_detachment]) ).
cnf(c2262,plain,
( ~ is_a_theorem(implies(X4071,implies(not(X4073),X4073)))
| is_a_theorem(implies(X4072,implies(X4071,X4073))) ),
inference(resolution,status(thm),[c1208,condensed_detachment]) ).
cnf(c5712,plain,
is_a_theorem(implies(X4459,implies(implies(implies(X4460,implies(X4457,X4457)),X4458),X4458))),
inference(resolution,status(thm),[c2262,c389]) ).
cnf(c6821,plain,
is_a_theorem(implies(implies(implies(X4471,implies(X4469,X4469)),X4470),X4470)),
inference(resolution,status(thm),[c5712,c4437]) ).
cnf(c6887,plain,
( ~ is_a_theorem(implies(implies(X4507,implies(X4509,X4509)),X4508))
| is_a_theorem(X4508) ),
inference(resolution,status(thm),[c6821,condensed_detachment]) ).
cnf(c2821,plain,
is_a_theorem(implies(X2519,implies(X2521,implies(implies(X2520,X2519),X2519)))),
inference(resolution,status(thm),[c2261,c21]) ).
cnf(c5674,plain,
is_a_theorem(implies(X4176,implies(X4177,implies(implies(X4175,X4177),X4177)))),
inference(resolution,status(thm),[c2262,c2821]) ).
cnf(c5958,plain,
is_a_theorem(implies(X4181,implies(implies(X4182,X4181),X4181))),
inference(resolution,status(thm),[c5674,c4437]) ).
cnf(c5983,plain,
is_a_theorem(implies(implies(implies(implies(X4952,X4951),X4951),X4953),implies(X4951,X4953))),
inference(resolution,status(thm),[c5958,c4]) ).
cnf(c7733,plain,
is_a_theorem(implies(implies(X5142,implies(X5144,X5143)),implies(X5143,implies(X5142,X5143)))),
inference(resolution,status(thm),[c5983,c116]) ).
cnf(c7888,plain,
is_a_theorem(implies(X5146,implies(X5145,X5146))),
inference(resolution,status(thm),[c7733,c6887]) ).
cnf(c7922,plain,
is_a_theorem(implies(implies(implies(X5420,X5419),X5421),implies(X5419,X5421))),
inference(resolution,status(thm),[c7888,c4]) ).
cnf(c8730,plain,
( ~ is_a_theorem(implies(implies(X5546,X5545),X5544))
| is_a_theorem(implies(X5545,X5544)) ),
inference(resolution,status(thm),[c7922,condensed_detachment]) ).
cnf(c9172,plain,
is_a_theorem(implies(X5813,implies(X5814,implies(implies(X5813,X5812),X5812)))),
inference(resolution,status(thm),[c8730,c2261]) ).
cnf(c10213,plain,
is_a_theorem(implies(X5915,implies(X5914,implies(implies(X5914,X5916),X5916)))),
inference(resolution,status(thm),[c9172,c2262]) ).
cnf(c11003,plain,
is_a_theorem(implies(X5920,implies(implies(X5920,X5919),X5919))),
inference(resolution,status(thm),[c10213,c6887]) ).
cnf(c11059,plain,
( ~ is_a_theorem(X5935)
| is_a_theorem(implies(implies(X5935,X5936),X5936)) ),
inference(resolution,status(thm),[c11003,condensed_detachment]) ).
cnf(c11151,plain,
is_a_theorem(implies(implies(implies(implies(not(X7506),X7506),X7506),X7507),X7507)),
inference(resolution,status(thm),[c11059,cn_2]) ).
cnf(c15104,plain,
is_a_theorem(implies(implies(X8255,implies(not(X8256),X8256)),implies(X8255,X8256))),
inference(resolution,status(thm),[c11151,c116]) ).
cnf(c17819,plain,
is_a_theorem(implies(implies(not(X9003),X9004),implies(implies(X9004,X9003),X9003))),
inference(resolution,status(thm),[c15104,c116]) ).
cnf(c19896,plain,
( ~ is_a_theorem(implies(not(X9881),X9882))
| is_a_theorem(implies(implies(X9882,X9881),X9881)) ),
inference(resolution,status(thm),[c17819,condensed_detachment]) ).
cnf(c17821,plain,
( ~ is_a_theorem(implies(X9061,implies(not(X9062),X9062)))
| is_a_theorem(implies(X9061,X9062)) ),
inference(resolution,status(thm),[c15104,condensed_detachment]) ).
cnf(c11226,plain,
is_a_theorem(implies(implies(implies(X7524,implies(not(X7524),X7525)),X7526),X7526)),
inference(resolution,status(thm),[c11059,cn_3]) ).
cnf(c15140,plain,
( ~ is_a_theorem(implies(implies(X8532,implies(not(X8532),X8531)),X8530))
| is_a_theorem(X8530) ),
inference(resolution,status(thm),[c11226,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X279,X281)),implies(X279,X281)),implies(implies(X281,X280),implies(X279,X280)))),
inference(resolution,status(thm),[c18,cn_1]) ).
cnf(c347,plain,
( ~ is_a_theorem(implies(not(implies(X4511,X4510)),implies(X4511,X4510)))
| is_a_theorem(implies(implies(X4510,X4512),implies(X4511,X4512))) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(c11036,plain,
is_a_theorem(implies(implies(implies(implies(X12736,X12737),X12737),X12738),implies(X12736,X12738))),
inference(resolution,status(thm),[c10213,c347]) ).
cnf(c29725,plain,
is_a_theorem(implies(implies(X16218,implies(X16220,X16219)),implies(X16220,implies(X16218,X16219)))),
inference(resolution,status(thm),[c11036,c116]) ).
cnf(c38668,plain,
is_a_theorem(implies(not(X16226),implies(X16226,X16225))),
inference(resolution,status(thm),[c29725,c15140]) ).
cnf(c38747,plain,
is_a_theorem(implies(not(not(X16233)),X16233)),
inference(resolution,status(thm),[c38668,c17821]) ).
cnf(c38783,plain,
is_a_theorem(implies(implies(X16447,not(X16447)),not(X16447))),
inference(resolution,status(thm),[c38747,c19896]) ).
cnf(c40058,plain,
is_a_theorem(implies(X16450,not(not(X16450)))),
inference(resolution,status(thm),[c38783,c21]) ).
cnf(c40087,plain,
$false,
inference(resolution,status(thm),[c40058,prove_cn_40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL057-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 11:05:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 51.49/51.71 # Version: 1.3
% 51.49/51.71 # SZS status Unsatisfiable
% 51.49/51.71 # SZS output start CNFRefutation
% See solution above
% 51.49/51.71
% 51.49/51.71 # Initial clauses : 5
% 51.49/51.71 # Processed clauses : 882
% 51.49/51.71 # Factors computed : 0
% 51.49/51.71 # Resolvents computed: 40205
% 51.49/51.71 # Tautologies deleted: 1
% 51.49/51.71 # Forward subsumed : 4199
% 51.49/51.71 # Backward subsumed : 70
% 51.49/51.71 # -------- CPU Time ---------
% 51.49/51.71 # User time : 51.257 s
% 51.49/51.71 # System time : 0.086 s
% 51.49/51.71 # Total time : 51.343 s
%------------------------------------------------------------------------------