TSTP Solution File: LCL396-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL396-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : 300s
% DateTime : Thu Aug 31 07:44:13 EDT 2023
% Result : Unsatisfiable 69.79s 10.29s
% Output : CNFRefutation 69.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 5
% Syntax : Number of clauses : 121 ( 52 unt; 0 nHn; 32 RR)
% Number of literals : 202 ( 0 equ; 83 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 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 : 358 ( 140 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c_52,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_62) ).
cnf(c_106,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_110,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_106,c_49]) ).
cnf(c_111,plain,
~ is_a_theorem(implies(x,not(not(x)))),
inference(superposition,[status(thm)],[c_106,c_53]) ).
cnf(c_135,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_145,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_110]) ).
cnf(c_146,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_110]) ).
cnf(c_147,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_110]) ).
cnf(c_205,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_146,c_49]) ).
cnf(c_217,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_50,c_147]) ).
cnf(c_218,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_147]) ).
cnf(c_220,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_135,c_147]) ).
cnf(c_297,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(superposition,[status(thm)],[c_50,c_145]) ).
cnf(c_420,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_110]) ).
cnf(c_421,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_110]) ).
cnf(c_503,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_217,c_49]) ).
cnf(c_520,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_503,c_421]) ).
cnf(c_675,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_520,c_110]) ).
cnf(c_1730,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_1777,plain,
( ~ is_a_theorem(implies(X0,not(implies(not(X1),X2))))
| is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(superposition,[status(thm)],[c_220,c_421]) ).
cnf(c_1973,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_420,c_675]) ).
cnf(c_2040,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_1730,c_1973]) ).
cnf(c_2478,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_2040]) ).
cnf(c_2748,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_2478]) ).
cnf(c_2968,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_2748,c_205]) ).
cnf(c_3107,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_52,c_2968]) ).
cnf(c_3269,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_3107,c_1777]) ).
cnf(c_17353,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_17356,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_17367,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_3269,c_17353]) ).
cnf(c_17410,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_17367,c_205]) ).
cnf(c_17555,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_3269,c_110]) ).
cnf(c_17749,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_17555]) ).
cnf(c_17756,plain,
( ~ is_a_theorem(implies(X0,not(implies(not(implies(X1,X1)),X2))))
| is_a_theorem(implies(X3,implies(X0,X4))) ),
inference(superposition,[status(thm)],[c_220,c_17555]) ).
cnf(c_17980,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_420,c_675]) ).
cnf(c_18083,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_17356,c_17980]) ).
cnf(c_18800,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_18083]) ).
cnf(c_18835,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_17749,c_18083]) ).
cnf(c_19040,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_218,c_18800]) ).
cnf(c_19268,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_19040,c_205]) ).
cnf(c_19276,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X2),X3))))),
inference(superposition,[status(thm)],[c_19040,c_18835]) ).
cnf(c_19872,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_17356,c_19268]) ).
cnf(c_20284,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(not(X1),X2)) ),
inference(superposition,[status(thm)],[c_19872,c_17410]) ).
cnf(c_20365,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(X1),X2)))),X3)),
inference(superposition,[status(thm)],[c_19276,c_20284]) ).
cnf(c_20445,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,implies(not(X2),X3)))),X4))),
inference(superposition,[status(thm)],[c_20365,c_17756]) ).
cnf(c_20672,plain,
is_a_theorem(implies(not(implies(not(implies(X0,implies(X1,implies(not(X1),X2)))),X3)),X4)),
inference(superposition,[status(thm)],[c_20445,c_20284]) ).
cnf(c_40084,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,implies(X1,implies(not(X1),X2)))),X3),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_20672,c_205]) ).
cnf(c_40096,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_51,c_40084]) ).
cnf(c_40137,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_40096,c_205]) ).
cnf(c_40261,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_50,c_40137]) ).
cnf(c_40395,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_3269,c_110]) ).
cnf(c_40945,plain,
is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_40261,c_145]) ).
cnf(c_41043,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_40945,c_421]) ).
cnf(c_41049,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_41043,c_110]) ).
cnf(c_41254,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_420,c_40395]) ).
cnf(c_41632,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(implies(X2,implies(not(X0),X3))),X4)))),
inference(superposition,[status(thm)],[c_41043,c_41049]) ).
cnf(c_42234,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(implies(X2,implies(not(implies(X3,X3)),X4))),X5)))),
inference(superposition,[status(thm)],[c_41632,c_41254]) ).
cnf(c_90135,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_90136,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_90138,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_90183,plain,
( ~ is_a_theorem(implies(X0,not(implies(not(X1),X2))))
| is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(superposition,[status(thm)],[c_220,c_421]) ).
cnf(c_90199,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_3269,c_205]) ).
cnf(c_90202,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(implies(X1,implies(not(implies(X2,X2)),X3))),X4)),X5))
| is_a_theorem(X5) ),
inference(superposition,[status(thm)],[c_42234,c_205]) ).
cnf(c_90214,plain,
is_a_theorem(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3)),
inference(superposition,[status(thm)],[c_51,c_90202]) ).
cnf(c_90217,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_420,c_90202]) ).
cnf(c_90279,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(implies(X1,X1)),X2)),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_90214,c_205]) ).
cnf(c_90470,plain,
is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(implies(X3,X1),X2))),
inference(superposition,[status(thm)],[c_297,c_90199]) ).
cnf(c_90492,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(superposition,[status(thm)],[c_90470,c_49]) ).
cnf(c_90558,plain,
is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),
inference(superposition,[status(thm)],[c_50,c_90279]) ).
cnf(c_90602,plain,
is_a_theorem(implies(implies(X0,implies(X1,X1)),implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_90492]) ).
cnf(c_90634,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_90602,c_421]) ).
cnf(c_90659,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_90634,c_110]) ).
cnf(c_90675,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_90138,c_90659]) ).
cnf(c_90700,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_90675,c_110]) ).
cnf(c_90760,plain,
is_a_theorem(implies(implies(X0,not(implies(X1,X1))),implies(X2,implies(X0,X3)))),
inference(superposition,[status(thm)],[c_90558,c_145]) ).
cnf(c_90803,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_90700]) ).
cnf(c_90838,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_90136,c_90803]) ).
cnf(c_90988,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_90760,c_421]) ).
cnf(c_90996,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_90988,c_110]) ).
cnf(c_91593,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(X1),X2)))),X3)),
inference(superposition,[status(thm)],[c_20672,c_90135]) ).
cnf(c_91604,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_91593,c_90135]) ).
cnf(c_91614,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_91604,c_205]) ).
cnf(c_91656,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_50,c_91614]) ).
cnf(c_91718,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_91656,c_90700]) ).
cnf(c_92591,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_90838,c_91718]) ).
cnf(c_92597,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_90634,c_91718]) ).
cnf(c_92652,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_92597,c_205]) ).
cnf(c_92684,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_92591,c_205]) ).
cnf(c_92917,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_92652]) ).
cnf(c_92992,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_92917,c_110]) ).
cnf(c_93070,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_50,c_92684]) ).
cnf(c_93163,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_93070,c_145]) ).
cnf(c_103063,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_50,c_92992]) ).
cnf(c_103068,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_420,c_92992]) ).
cnf(c_103386,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_103063,c_49]) ).
cnf(c_103805,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_103068,c_49]) ).
cnf(c_106758,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_93163,c_49]) ).
cnf(c_107136,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_106758]) ).
cnf(c_107480,plain,
is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))),
inference(superposition,[status(thm)],[c_91656,c_107136]) ).
cnf(c_107484,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_218,c_107136]) ).
cnf(c_108007,plain,
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_107484,c_103805]) ).
cnf(c_108008,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_107484,c_103386]) ).
cnf(c_110448,plain,
is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
inference(superposition,[status(thm)],[c_107480,c_90217]) ).
cnf(c_110468,plain,
is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_110448,c_145]) ).
cnf(c_111245,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_90138,c_108007]) ).
cnf(c_112321,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_220,c_111245]) ).
cnf(c_112552,plain,
is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_110468,c_111245]) ).
cnf(c_119602,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_108008,c_111245]) ).
cnf(c_120177,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_119602,c_145]) ).
cnf(c_120422,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_120177,c_90996]) ).
cnf(c_120442,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_120422,c_110]) ).
cnf(c_122027,plain,
is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_112552,c_120442]) ).
cnf(c_123384,plain,
is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_122027,c_112321]) ).
cnf(c_128523,plain,
is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_123384,c_90183]) ).
cnf(c_130474,plain,
is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_128523,c_111245]) ).
cnf(c_130496,plain,
is_a_theorem(implies(X0,not(not(X0)))),
inference(superposition,[status(thm)],[c_130474,c_112321]) ).
cnf(c_130508,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_111,c_130496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL396-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n018.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 : 300
% 0.12/0.34 % DateTime : Thu Aug 24 18:17:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 69.79/10.29 % SZS status Started for theBenchmark.p
% 69.79/10.29 % SZS status Unsatisfiable for theBenchmark.p
% 69.79/10.29
% 69.79/10.29 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 69.79/10.29
% 69.79/10.29 ------ iProver source info
% 69.79/10.29
% 69.79/10.29 git: date: 2023-05-31 18:12:56 +0000
% 69.79/10.29 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 69.79/10.29 git: non_committed_changes: false
% 69.79/10.29 git: last_make_outside_of_git: false
% 69.79/10.29
% 69.79/10.29 ------ Parsing...successful
% 69.79/10.29
% 69.79/10.29
% 69.79/10.29
% 69.79/10.29 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 69.79/10.29
% 69.79/10.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 69.79/10.29 ------ Proving...
% 69.79/10.29 ------ Problem Properties
% 69.79/10.29
% 69.79/10.29
% 69.79/10.29 clauses 5
% 69.79/10.29 conjectures 1
% 69.79/10.29 EPR 0
% 69.79/10.29 Horn 5
% 69.79/10.29 unary 4
% 69.79/10.29 binary 0
% 69.79/10.29 lits 7
% 69.79/10.29 lits eq 0
% 69.79/10.29 fd_pure 0
% 69.79/10.29 fd_pseudo 0
% 69.79/10.29 fd_cond 0
% 69.79/10.29 fd_pseudo_cond 0
% 69.79/10.29 AC symbols 0
% 69.79/10.29
% 69.79/10.29 ------ Input Options Time Limit: Unbounded
% 69.79/10.29
% 69.79/10.29
% 69.79/10.29 ------
% 69.79/10.29 Current options:
% 69.79/10.29 ------
% 69.79/10.29
% 69.79/10.29
% 69.79/10.29
% 69.79/10.29
% 69.79/10.29 ------ Proving...
% 69.79/10.29
% 69.79/10.29
% 69.79/10.29 % SZS status Unsatisfiable for theBenchmark.p
% 69.79/10.29
% 69.79/10.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 69.79/10.29
% 69.79/10.29
%------------------------------------------------------------------------------