TSTP Solution File: LCL056-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL056-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 43.65s 43.92s
% Output : Refutation 43.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X6,X5))
| ~ is_a_theorem(X6)
| is_a_theorem(X5) ),
input ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X11,X10),implies(implies(X10,X12),implies(X11,X12)))),
input ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X23,X22))
| is_a_theorem(implies(implies(X22,X21),implies(X23,X21))) ),
inference(resolution,status(thm),[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X112,X111),implies(X113,X111)),X110),implies(implies(X113,X112),X110))),
inference(resolution,status(thm),[c4,cn_1]) ).
cnf(c116,plain,
( ~ is_a_theorem(implies(implies(implies(X1457,X1456),implies(X1458,X1456)),X1455))
| is_a_theorem(implies(implies(X1458,X1457),X1455)) ),
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(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
input ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(not(X31),X33),X32),implies(X31,X32))),
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(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(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,status(thm),[c56,c4]) ).
cnf(c123,plain,
is_a_theorem(implies(X117,implies(not(implies(X118,X118)),X119))),
inference(resolution,status(thm),[c59,c21]) ).
cnf(c126,plain,
is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X213),X214),implies(X212,X214))),
inference(resolution,status(thm),[c123,c4]) ).
cnf(c252,plain,
( ~ is_a_theorem(implies(implies(not(implies(X217,X217)),X219),X216))
| is_a_theorem(implies(X218,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(X290,X290),X291),implies(X289,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(c376,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(X436,X436)),X435),implies(X434,X435))),
inference(resolution,status(thm),[c376,c4]) ).
cnf(c469,plain,
( ~ is_a_theorem(implies(implies(X475,implies(X474,X474)),X472))
| is_a_theorem(implies(X473,X472)) ),
inference(resolution,status(thm),[c389,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
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(c1210,plain,
is_a_theorem(implies(implies(X2183,implies(not(X2184),X2184)),implies(X2182,implies(X2183,X2184)))),
inference(resolution,status(thm),[c116,c335]) ).
cnf(c2259,plain,
is_a_theorem(implies(implies(not(X2517),X2518),implies(X2516,implies(implies(X2518,X2517),X2517)))),
inference(resolution,status(thm),[c1210,c116]) ).
cnf(c2814,plain,
is_a_theorem(implies(X2530,implies(X2532,implies(implies(implies(X2531,X2531),X2533),X2533)))),
inference(resolution,status(thm),[c2259,c469]) ).
cnf(c3011,plain,
is_a_theorem(implies(X2534,implies(implies(implies(X2535,X2535),X2536),X2536))),
inference(resolution,status(thm),[c2814,c0]) ).
cnf(c3034,plain,
is_a_theorem(implies(implies(implies(X2538,X2538),X2537),X2537)),
inference(resolution,status(thm),[c3011,c0]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(implies(X162,X163),X164),implies(implies(implies(not(X162),X165),X163),X164))),
inference(resolution,status(thm),[c13,c4]) ).
cnf(c209,plain,
( ~ is_a_theorem(implies(implies(X3071,X3070),X3072))
| is_a_theorem(implies(implies(implies(not(X3071),X3073),X3070),X3072)) ),
inference(resolution,status(thm),[c20,condensed_detachment]) ).
cnf(c4093,plain,
is_a_theorem(implies(implies(implies(not(implies(X3237,X3237)),X3239),X3238),X3238)),
inference(resolution,status(thm),[c209,c3034]) ).
cnf(c4434,plain,
( ~ is_a_theorem(implies(implies(not(implies(X3319,X3319)),X3317),X3318))
| is_a_theorem(X3318) ),
inference(resolution,status(thm),[c4093,condensed_detachment]) ).
cnf(c2261,plain,
( ~ is_a_theorem(implies(X4073,implies(not(X4071),X4071)))
| is_a_theorem(implies(X4072,implies(X4073,X4071))) ),
inference(resolution,status(thm),[c1210,condensed_detachment]) ).
cnf(c5613,plain,
is_a_theorem(implies(X4438,implies(implies(implies(X4441,implies(X4440,X4440)),X4439),X4439))),
inference(resolution,status(thm),[c2261,c389]) ).
cnf(c6795,plain,
is_a_theorem(implies(implies(implies(X4451,implies(X4449,X4449)),X4450),X4450)),
inference(resolution,status(thm),[c5613,c4434]) ).
cnf(c6856,plain,
( ~ is_a_theorem(implies(implies(X4493,implies(X4494,X4494)),X4495))
| is_a_theorem(X4495) ),
inference(resolution,status(thm),[c6795,condensed_detachment]) ).
cnf(c2818,plain,
is_a_theorem(implies(X2519,implies(X2520,implies(implies(X2521,X2519),X2519)))),
inference(resolution,status(thm),[c2259,c21]) ).
cnf(c5619,plain,
is_a_theorem(implies(X4168,implies(X4169,implies(implies(X4170,X4169),X4169)))),
inference(resolution,status(thm),[c2261,c2818]) ).
cnf(c5954,plain,
is_a_theorem(implies(X4172,implies(implies(X4171,X4172),X4172))),
inference(resolution,status(thm),[c5619,c4434]) ).
cnf(c5979,plain,
is_a_theorem(implies(implies(implies(implies(X4948,X4949),X4949),X4950),implies(X4949,X4950))),
inference(resolution,status(thm),[c5954,c4]) ).
cnf(c7730,plain,
is_a_theorem(implies(implies(X5142,implies(X5143,X5144)),implies(X5144,implies(X5142,X5144)))),
inference(resolution,status(thm),[c5979,c116]) ).
cnf(c7884,plain,
is_a_theorem(implies(X5146,implies(X5145,X5146))),
inference(resolution,status(thm),[c7730,c6856]) ).
cnf(c7918,plain,
is_a_theorem(implies(implies(implies(X5418,X5416),X5417),implies(X5416,X5417))),
inference(resolution,status(thm),[c7884,c4]) ).
cnf(c8728,plain,
( ~ is_a_theorem(implies(implies(X5545,X5546),X5544))
| is_a_theorem(implies(X5546,X5544)) ),
inference(resolution,status(thm),[c7918,condensed_detachment]) ).
cnf(c9143,plain,
is_a_theorem(implies(X5810,implies(X5809,implies(implies(X5810,X5811),X5811)))),
inference(resolution,status(thm),[c8728,c2259]) ).
cnf(c10183,plain,
is_a_theorem(implies(X5903,implies(X5905,implies(implies(X5905,X5904),X5904)))),
inference(resolution,status(thm),[c9143,c2261]) ).
cnf(c10670,plain,
is_a_theorem(implies(X5911,implies(implies(X5911,X5912),X5912))),
inference(resolution,status(thm),[c10183,c6856]) ).
cnf(c10751,plain,
( ~ is_a_theorem(X5932)
| is_a_theorem(implies(implies(X5932,X5933),X5933)) ),
inference(resolution,status(thm),[c10670,condensed_detachment]) ).
cnf(c10851,plain,
is_a_theorem(implies(implies(implies(implies(not(X7506),X7506),X7506),X7507),X7507)),
inference(resolution,status(thm),[c10751,cn_2]) ).
cnf(c15101,plain,
is_a_theorem(implies(implies(X8255,implies(not(X8256),X8256)),implies(X8255,X8256))),
inference(resolution,status(thm),[c10851,c116]) ).
cnf(c17818,plain,
( ~ is_a_theorem(implies(X9061,implies(not(X9062),X9062)))
| is_a_theorem(implies(X9061,X9062)) ),
inference(resolution,status(thm),[c15101,condensed_detachment]) ).
cnf(c10932,plain,
is_a_theorem(implies(implies(implies(X7524,implies(not(X7524),X7525)),X7526),X7526)),
inference(resolution,status(thm),[c10751,cn_3]) ).
cnf(c15138,plain,
( ~ is_a_theorem(implies(implies(X8531,implies(not(X8531),X8530)),X8532))
| is_a_theorem(X8532) ),
inference(resolution,status(thm),[c10932,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X281,X280)),implies(X281,X280)),implies(implies(X280,X279),implies(X281,X279)))),
inference(resolution,status(thm),[c18,cn_1]) ).
cnf(c347,plain,
( ~ is_a_theorem(implies(not(implies(X4501,X4499)),implies(X4501,X4499)))
| is_a_theorem(implies(implies(X4499,X4500),implies(X4501,X4500))) ),
inference(resolution,status(thm),[c29,condensed_detachment]) ).
cnf(c10701,plain,
is_a_theorem(implies(implies(implies(implies(X12646,X12645),X12645),X12644),implies(X12646,X12644))),
inference(resolution,status(thm),[c10183,c347]) ).
cnf(c29562,plain,
is_a_theorem(implies(implies(X16153,implies(X16152,X16154)),implies(X16152,implies(X16153,X16154)))),
inference(resolution,status(thm),[c10701,c116]) ).
cnf(c38643,plain,
is_a_theorem(implies(not(X16165),implies(X16165,X16164))),
inference(resolution,status(thm),[c29562,c15138]) ).
cnf(c38746,plain,
is_a_theorem(implies(not(not(X16166)),X16166)),
inference(resolution,status(thm),[c38643,c17818]) ).
cnf(c38763,plain,
$false,
inference(resolution,status(thm),[c38746,prove_cn_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL056-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 11:50:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 43.65/43.92 # Version: 1.3
% 43.65/43.92 # SZS status Unsatisfiable
% 43.65/43.92 # SZS output start CNFRefutation
% See solution above
% 43.65/43.92
% 43.65/43.92 # Initial clauses : 5
% 43.65/43.92 # Processed clauses : 861
% 43.65/43.92 # Factors computed : 0
% 43.65/43.92 # Resolvents computed: 38787
% 43.65/43.92 # Tautologies deleted: 1
% 43.65/43.92 # Forward subsumed : 4109
% 43.65/43.92 # Backward subsumed : 58
% 43.65/43.92 # -------- CPU Time ---------
% 43.65/43.92 # User time : 43.500 s
% 43.65/43.92 # System time : 0.067 s
% 43.65/43.92 # Total time : 43.567 s
%------------------------------------------------------------------------------