TSTP Solution File: LCL401-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL401-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : 300s
% DateTime : Fri May 3 02:37:46 EDT 2024
% Result : Unsatisfiable 113.97s 15.84s
% Output : CNFRefutation 113.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 5
% Syntax : Number of clauses : 126 ( 62 unt; 0 nHn; 36 RR)
% Number of literals : 201 ( 0 equ; 76 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 394 ( 178 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(c_52,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,y)),not(y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_67) ).
cnf(c_107,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_111,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_107,c_49]) ).
cnf(c_138,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_153,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),X3)) ),
inference(superposition,[status(thm)],[c_50,c_111]) ).
cnf(c_154,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_111]) ).
cnf(c_155,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_111]) ).
cnf(c_203,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_154,c_49]) ).
cnf(c_209,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_50,c_155]) ).
cnf(c_210,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_155]) ).
cnf(c_211,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_52,c_155]) ).
cnf(c_212,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_138,c_155]) ).
cnf(c_424,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_111]) ).
cnf(c_425,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_111]) ).
cnf(c_493,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_209,c_49]) ).
cnf(c_524,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_493,c_425]) ).
cnf(c_625,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_524,c_111]) ).
cnf(c_3563,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_3821,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_424,c_625]) ).
cnf(c_3928,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_3563,c_3821]) ).
cnf(c_3929,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_424,c_3821]) ).
cnf(c_4251,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_52,c_3928]) ).
cnf(c_4310,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_4251]) ).
cnf(c_4342,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_4310,c_3928]) ).
cnf(c_4352,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_4310,c_4251]) ).
cnf(c_4634,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(implies(not(implies(X2,X2)),X3)),X4)))),
inference(superposition,[status(thm)],[c_211,c_4342]) ).
cnf(c_4716,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_4352,c_3929]) ).
cnf(c_4718,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_4352,c_203]) ).
cnf(c_5264,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_4718]) ).
cnf(c_5490,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_5264,c_153]) ).
cnf(c_5531,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_5490,c_4251]) ).
cnf(c_5797,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(not(X2),X4)))))),
inference(superposition,[status(thm)],[c_5531,c_4342]) ).
cnf(c_6459,plain,
is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,implies(X2,X2))),X3)),X4))),
inference(superposition,[status(thm)],[c_211,c_4716]) ).
cnf(c_7528,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_7544,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_5797,c_7528]) ).
cnf(c_7548,plain,
is_a_theorem(implies(not(implies(not(implies(X0,implies(X1,X1))),X2)),X3)),
inference(superposition,[status(thm)],[c_6459,c_7528]) ).
cnf(c_7609,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_7548,c_7528]) ).
cnf(c_7633,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_7609,c_203]) ).
cnf(c_7636,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(X0),X2))),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_7544,c_203]) ).
cnf(c_7725,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_7633]) ).
cnf(c_7747,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_7725,c_49]) ).
cnf(c_7772,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_7725,c_7747]) ).
cnf(c_7895,plain,
is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(superposition,[status(thm)],[c_50,c_7636]) ).
cnf(c_8027,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_7895,c_49]) ).
cnf(c_8064,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_7772,c_111]) ).
cnf(c_8159,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(X0),X2))),X3))),
inference(superposition,[status(thm)],[c_52,c_8027]) ).
cnf(c_8249,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(implies(X2,implies(X3,X3))),X4))),X5))),
inference(superposition,[status(thm)],[c_8159,c_8064]) ).
cnf(c_17433,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_17518,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3)),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_4634,c_203]) ).
cnf(c_17524,plain,
is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)),
inference(superposition,[status(thm)],[c_51,c_17518]) ).
cnf(c_17545,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_17524,c_17433]) ).
cnf(c_17548,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_17545,c_203]) ).
cnf(c_17556,plain,
is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),
inference(superposition,[status(thm)],[c_209,c_17548]) ).
cnf(c_17567,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_17556,c_425]) ).
cnf(c_17618,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_17567,c_111]) ).
cnf(c_17747,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_5797,c_17518]) ).
cnf(c_17757,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_17747,c_17518]) ).
cnf(c_17758,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_17757,c_111]) ).
cnf(c_17921,plain,
is_a_theorem(implies(not(implies(not(implies(X0,implies(X1,X1))),X2)),X3)),
inference(superposition,[status(thm)],[c_6459,c_17518]) ).
cnf(c_18022,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_17921,c_17433]) ).
cnf(c_18028,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_18022,c_203]) ).
cnf(c_18050,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_18028]) ).
cnf(c_18086,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_18050,c_153]) ).
cnf(c_19031,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X0),X3))))),
inference(superposition,[status(thm)],[c_18086,c_17758]) ).
cnf(c_19069,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(implies(not(implies(X3,X3)),X4)),X5))))),
inference(superposition,[status(thm)],[c_19031,c_17618]) ).
cnf(c_38557,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(implies(not(implies(X2,X2)),X3)),X4))),X5))
| is_a_theorem(X5) ),
inference(superposition,[status(thm)],[c_19069,c_203]) ).
cnf(c_38558,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),X4),X5))
| is_a_theorem(X5) ),
inference(superposition,[status(thm)],[c_8249,c_203]) ).
cnf(c_38580,plain,
is_a_theorem(implies(implies(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3)),X4),implies(X5,X4))),
inference(superposition,[status(thm)],[c_50,c_38557]) ).
cnf(c_38603,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3)),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_424,c_38558]) ).
cnf(c_39664,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3)),X4))
| is_a_theorem(implies(X5,X4)) ),
inference(superposition,[status(thm)],[c_38580,c_49]) ).
cnf(c_39813,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(implies(not(implies(X2,X2)),X3)),X4))),X5))),
inference(superposition,[status(thm)],[c_52,c_39664]) ).
cnf(c_40068,plain,
is_a_theorem(implies(not(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3))),X4)),
inference(superposition,[status(thm)],[c_39813,c_38603]) ).
cnf(c_87327,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_87330,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_87373,plain,
( ~ is_a_theorem(implies(X0,not(implies(not(X1),X2))))
| is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(superposition,[status(thm)],[c_212,c_425]) ).
cnf(c_87391,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3)),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_40068,c_203]) ).
cnf(c_87648,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_5797,c_87391]) ).
cnf(c_87658,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_87648,c_87391]) ).
cnf(c_87725,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_87658,c_111]) ).
cnf(c_87894,plain,
is_a_theorem(implies(not(implies(not(implies(X0,implies(X1,X1))),X2)),X3)),
inference(superposition,[status(thm)],[c_6459,c_87391]) ).
cnf(c_87898,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_87894,c_87327]) ).
cnf(c_87905,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_87898,c_203]) ).
cnf(c_87926,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_87905]) ).
cnf(c_87963,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_87926,c_111]) ).
cnf(c_90085,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_625]) ).
cnf(c_90088,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_424,c_625]) ).
cnf(c_90353,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_87926,c_90088]) ).
cnf(c_90666,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_90085,c_90353]) ).
cnf(c_90757,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_90666,c_203]) ).
cnf(c_90846,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_50,c_90757]) ).
cnf(c_90970,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_90846,c_153]) ).
cnf(c_92966,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_50,c_87963]) ).
cnf(c_92970,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_424,c_87963]) ).
cnf(c_93152,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_92966,c_49]) ).
cnf(c_93517,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_92970,c_49]) ).
cnf(c_97232,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X3,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_90970,c_49]) ).
cnf(c_97536,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_51,c_97232]) ).
cnf(c_97791,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_210,c_97536]) ).
cnf(c_97835,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_87658,c_97536]) ).
cnf(c_98309,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_97791,c_93152]) ).
cnf(c_98310,plain,
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_97791,c_93517]) ).
cnf(c_98359,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_97835,c_93517]) ).
cnf(c_101208,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_87330,c_98310]) ).
cnf(c_102384,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_50,c_98359]) ).
cnf(c_102642,plain,
is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_102384,c_153]) ).
cnf(c_103854,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_212,c_101208]) ).
cnf(c_103919,plain,
is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_102642,c_101208]) ).
cnf(c_106450,plain,
is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_103919,c_101208]) ).
cnf(c_108073,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_98309,c_101208]) ).
cnf(c_108108,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_108073,c_153]) ).
cnf(c_108188,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_108108,c_87725]) ).
cnf(c_108206,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_108188,c_111]) ).
cnf(c_108705,plain,
is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_106450,c_108206]) ).
cnf(c_109322,plain,
is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_108705,c_103854]) ).
cnf(c_110052,plain,
is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_109322,c_87373]) ).
cnf(c_110094,plain,
is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_110052,c_101208]) ).
cnf(c_110691,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(not(not(X0)),X1)) ),
inference(superposition,[status(thm)],[c_110094,c_111]) ).
cnf(c_110702,plain,
is_a_theorem(implies(X0,not(not(X0)))),
inference(superposition,[status(thm)],[c_110094,c_103854]) ).
cnf(c_110735,plain,
is_a_theorem(implies(X0,not(not(implies(X1,X0))))),
inference(superposition,[status(thm)],[c_110702,c_108206]) ).
cnf(c_115865,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,not(X0))) ),
inference(superposition,[status(thm)],[c_110691,c_103854]) ).
cnf(c_154986,plain,
is_a_theorem(implies(not(implies(X0,X1)),not(X1))),
inference(superposition,[status(thm)],[c_110735,c_115865]) ).
cnf(c_155041,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_154986]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL401-1 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 19:08:26 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 113.97/15.84 % SZS status Started for theBenchmark.p
% 113.97/15.84 % SZS status Unsatisfiable for theBenchmark.p
% 113.97/15.84
% 113.97/15.84 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 113.97/15.84
% 113.97/15.84 ------ iProver source info
% 113.97/15.84
% 113.97/15.84 git: date: 2024-05-02 19:28:25 +0000
% 113.97/15.84 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 113.97/15.84 git: non_committed_changes: false
% 113.97/15.84
% 113.97/15.84 ------ Parsing...successful
% 113.97/15.84
% 113.97/15.84
% 113.97/15.84
% 113.97/15.84 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 113.97/15.84
% 113.97/15.84 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 113.97/15.84 ------ Proving...
% 113.97/15.84 ------ Problem Properties
% 113.97/15.84
% 113.97/15.84
% 113.97/15.84 clauses 5
% 113.97/15.84 conjectures 1
% 113.97/15.84 EPR 0
% 113.97/15.84 Horn 5
% 113.97/15.84 unary 4
% 113.97/15.84 binary 0
% 113.97/15.84 lits 7
% 113.97/15.84 lits eq 0
% 113.97/15.84 fd_pure 0
% 113.97/15.84 fd_pseudo 0
% 113.97/15.84 fd_cond 0
% 113.97/15.84 fd_pseudo_cond 0
% 113.97/15.84 AC symbols 0
% 113.97/15.84
% 113.97/15.84 ------ Input Options Time Limit: Unbounded
% 113.97/15.84
% 113.97/15.84
% 113.97/15.84 ------
% 113.97/15.84 Current options:
% 113.97/15.84 ------
% 113.97/15.84
% 113.97/15.84
% 113.97/15.84
% 113.97/15.84
% 113.97/15.84 ------ Proving...
% 113.97/15.84
% 113.97/15.84
% 113.97/15.84 % SZS status Unsatisfiable for theBenchmark.p
% 113.97/15.84
% 113.97/15.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.97/15.84
% 113.97/15.85
%------------------------------------------------------------------------------