TSTP Solution File: LCL405-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL405-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 02:37:47 EDT 2024
% Result : Unsatisfiable 88.34s 12.78s
% Output : CNFRefutation 88.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of clauses : 128 ( 57 unt; 0 nHn; 32 RR)
% Number of literals : 217 ( 0 equ; 90 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 : 387 ( 159 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(not(implies(implies(x,x),not(implies(y,y))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_71) ).
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_114,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_115,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_116,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_194,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_197,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_115,c_49]) ).
cnf(c_200,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_50,c_116]) ).
cnf(c_202,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_52,c_116]) ).
cnf(c_223,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(not(X0),X1)),X2)) ),
inference(superposition,[status(thm)],[c_202,c_49]) ).
cnf(c_238,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_114]) ).
cnf(c_298,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_194,c_49]) ).
cnf(c_299,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_194,c_116]) ).
cnf(c_320,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_223,c_197]) ).
cnf(c_388,plain,
( ~ is_a_theorem(implies(X0,not(implies(not(X1),X2))))
| is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(superposition,[status(thm)],[c_299,c_116]) ).
cnf(c_459,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_200,c_49]) ).
cnf(c_505,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_459,c_116]) ).
cnf(c_563,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_505,c_298]) ).
cnf(c_874,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_238,c_49]) ).
cnf(c_876,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(implies(X3,X1),X2))) ),
inference(superposition,[status(thm)],[c_238,c_320]) ).
cnf(c_6829,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_6862,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_116]) ).
cnf(c_6929,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(not(X4),X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_876,c_298]) ).
cnf(c_6935,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(not(implies(implies(X3,X1),X2)),X4))) ),
inference(superposition,[status(thm)],[c_52,c_6929]) ).
cnf(c_7214,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(implies(X3,X1),X2)),X4)) ),
inference(superposition,[status(thm)],[c_6935,c_49]) ).
cnf(c_7346,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(implies(X1,X0),X0)),X2)) ),
inference(superposition,[status(thm)],[c_51,c_7214]) ).
cnf(c_7381,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_7346,c_6829]) ).
cnf(c_7410,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_7381,c_116]) ).
cnf(c_7421,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_7410,c_298]) ).
cnf(c_7447,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_194,c_7421]) ).
cnf(c_7659,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_7447]) ).
cnf(c_7736,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_7659]) ).
cnf(c_7740,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_6862,c_7659]) ).
cnf(c_7797,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_7736,c_7659]) ).
cnf(c_7813,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_7797,c_197]) ).
cnf(c_7833,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_7740,c_197]) ).
cnf(c_8242,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_7813]) ).
cnf(c_8319,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_8242,c_114]) ).
cnf(c_9257,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(not(implies(X0,X2)),X3))) ),
inference(superposition,[status(thm)],[c_874,c_7833]) ).
cnf(c_10140,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_9257,c_49]) ).
cnf(c_10989,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(not(implies(X0,X2)),X3)) ),
inference(superposition,[status(thm)],[c_52,c_10140]) ).
cnf(c_13217,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(X0),X2)))),X3)),
inference(superposition,[status(thm)],[c_8319,c_10989]) ).
cnf(c_35064,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_116]) ).
cnf(c_35520,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_563]) ).
cnf(c_35697,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_194,c_35520]) ).
cnf(c_36430,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_35697]) ).
cnf(c_36527,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_36430]) ).
cnf(c_36528,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(implies(not(X1),X2)),X3)))),
inference(superposition,[status(thm)],[c_52,c_36430]) ).
cnf(c_36531,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_35064,c_36430]) ).
cnf(c_36587,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_36527,c_35697]) ).
cnf(c_36595,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_36527,c_197]) ).
cnf(c_36598,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_36527,c_36430]) ).
cnf(c_36620,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_36598,c_36430]) ).
cnf(c_36639,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_36531,c_197]) ).
cnf(c_36642,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X2),X3))))),
inference(superposition,[status(thm)],[c_36531,c_36430]) ).
cnf(c_36710,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(implies(not(X2),X3)),X4))))),
inference(superposition,[status(thm)],[c_36528,c_36430]) ).
cnf(c_36915,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X4)))))),
inference(superposition,[status(thm)],[c_36620,c_36430]) ).
cnf(c_37403,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(not(X3),X4)))))),
inference(superposition,[status(thm)],[c_36642,c_36430]) ).
cnf(c_37699,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_194,c_36639]) ).
cnf(c_38410,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X5))))))),
inference(superposition,[status(thm)],[c_36915,c_36430]) ).
cnf(c_38493,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(not(X1),X2)) ),
inference(superposition,[status(thm)],[c_37699,c_36595]) ).
cnf(c_39883,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(not(X4),X5))))))),
inference(superposition,[status(thm)],[c_37403,c_36587]) ).
cnf(c_41581,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(implies(not(X1),X2)),X3)))),X4)),
inference(superposition,[status(thm)],[c_36710,c_38493]) ).
cnf(c_43731,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X4)))))),X5)),
inference(superposition,[status(thm)],[c_38410,c_38493]) ).
cnf(c_79591,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_79608,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(not(X3),X4)))))),
inference(superposition,[status(thm)],[c_39883,c_79591]) ).
cnf(c_79612,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X4)))))),
inference(superposition,[status(thm)],[c_43731,c_79591]) ).
cnf(c_79621,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_116]) ).
cnf(c_79635,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_13217,c_79591]) ).
cnf(c_79646,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_194,c_116]) ).
cnf(c_79653,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(X0),X2))),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_13217,c_197]) ).
cnf(c_79654,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(implies(not(X1),X2)),X3))),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_41581,c_197]) ).
cnf(c_79679,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_79612,c_79591]) ).
cnf(c_79683,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_79679,c_79591]) ).
cnf(c_79686,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_79683,c_197]) ).
cnf(c_79687,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_79683,c_79591]) ).
cnf(c_79690,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_79687,c_197]) ).
cnf(c_79731,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_79635,c_298]) ).
cnf(c_79796,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_79686]) ).
cnf(c_79819,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_79796,c_298]) ).
cnf(c_79959,plain,
( ~ is_a_theorem(implies(X0,not(implies(X1,X1))))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_79646,c_79690]) ).
cnf(c_80009,plain,
is_a_theorem(implies(implies(not(not(implies(X0,X0))),not(implies(X0,X0))),X1)),
inference(superposition,[status(thm)],[c_51,c_79959]) ).
cnf(c_80229,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X2),X3))))),
inference(superposition,[status(thm)],[c_79608,c_79654]) ).
cnf(c_80242,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_80229,c_79654]) ).
cnf(c_80309,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_80242,c_197]) ).
cnf(c_80322,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_50,c_80309]) ).
cnf(c_80324,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_194,c_80309]) ).
cnf(c_80390,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) ),
inference(superposition,[status(thm)],[c_80324,c_49]) ).
cnf(c_80461,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(not(implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_79796,c_80390]) ).
cnf(c_83753,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_563]) ).
cnf(c_83867,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(X1,X0)),X2)) ),
inference(superposition,[status(thm)],[c_83753,c_80461]) ).
cnf(c_83905,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_83867,c_197]) ).
cnf(c_84380,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_50,c_83905]) ).
cnf(c_84504,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_84380,c_114]) ).
cnf(c_87804,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_50,c_79819]) ).
cnf(c_87809,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_115,c_79819]) ).
cnf(c_87876,plain,
is_a_theorem(implies(implies(implies(X0,X0),not(implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_80009,c_79819]) ).
cnf(c_88018,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_87804,c_49]) ).
cnf(c_88503,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_87809,c_49]) ).
cnf(c_97032,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_84504,c_49]) ).
cnf(c_97420,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_97032]) ).
cnf(c_97772,plain,
is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))),
inference(superposition,[status(thm)],[c_80322,c_97420]) ).
cnf(c_97776,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_79621,c_97420]) ).
cnf(c_98231,plain,
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_97776,c_88503]) ).
cnf(c_98232,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_97776,c_88018]) ).
cnf(c_100473,plain,
is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
inference(superposition,[status(thm)],[c_97772,c_79653]) ).
cnf(c_100496,plain,
is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_100473,c_114]) ).
cnf(c_100947,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_194,c_98231]) ).
cnf(c_100964,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_874,c_98231]) ).
cnf(c_102753,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_79646,c_100947]) ).
cnf(c_102975,plain,
is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_100496,c_100947]) ).
cnf(c_104250,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_100964,c_49]) ).
cnf(c_108757,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_98232,c_100947]) ).
cnf(c_108801,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_108757,c_114]) ).
cnf(c_109043,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_108801,c_79731]) ).
cnf(c_109064,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_109043,c_298]) ).
cnf(c_110163,plain,
is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_102975,c_109064]) ).
cnf(c_112005,plain,
is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_110163,c_102753]) ).
cnf(c_116395,plain,
is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_112005,c_388]) ).
cnf(c_116899,plain,
is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_116395,c_100947]) ).
cnf(c_117004,plain,
( ~ is_a_theorem(implies(X0,not(X0)))
| is_a_theorem(not(X0)) ),
inference(superposition,[status(thm)],[c_116899,c_104250]) ).
cnf(c_118163,plain,
is_a_theorem(not(implies(implies(X0,X0),not(implies(X1,X1))))),
inference(superposition,[status(thm)],[c_87876,c_117004]) ).
cnf(c_118178,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_118163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL405-1 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.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 : 300
% 0.13/0.35 % DateTime : Thu May 2 19:51:45 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 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
% 88.34/12.78 % SZS status Started for theBenchmark.p
% 88.34/12.78 % SZS status Unsatisfiable for theBenchmark.p
% 88.34/12.78
% 88.34/12.78 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 88.34/12.78
% 88.34/12.78 ------ iProver source info
% 88.34/12.78
% 88.34/12.78 git: date: 2024-05-02 19:28:25 +0000
% 88.34/12.78 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 88.34/12.78 git: non_committed_changes: false
% 88.34/12.78
% 88.34/12.78 ------ Parsing...successful
% 88.34/12.78
% 88.34/12.78
% 88.34/12.78
% 88.34/12.78 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 88.34/12.78
% 88.34/12.78 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 88.34/12.78 ------ Proving...
% 88.34/12.78 ------ Problem Properties
% 88.34/12.78
% 88.34/12.78
% 88.34/12.78 clauses 5
% 88.34/12.78 conjectures 1
% 88.34/12.78 EPR 0
% 88.34/12.78 Horn 5
% 88.34/12.78 unary 4
% 88.34/12.78 binary 0
% 88.34/12.78 lits 7
% 88.34/12.78 lits eq 0
% 88.34/12.78 fd_pure 0
% 88.34/12.78 fd_pseudo 0
% 88.34/12.78 fd_cond 0
% 88.34/12.78 fd_pseudo_cond 0
% 88.34/12.78 AC symbols 0
% 88.34/12.78
% 88.34/12.78 ------ Input Options Time Limit: Unbounded
% 88.34/12.78
% 88.34/12.78
% 88.34/12.78 ------
% 88.34/12.78 Current options:
% 88.34/12.78 ------
% 88.34/12.78
% 88.34/12.78
% 88.34/12.78
% 88.34/12.78
% 88.34/12.78 ------ Proving...
% 88.34/12.78
% 88.34/12.78
% 88.34/12.78 % SZS status Unsatisfiable for theBenchmark.p
% 88.34/12.78
% 88.34/12.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 88.34/12.78
% 88.34/12.79
%------------------------------------------------------------------------------