TSTP Solution File: LCL379-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL379-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:37:43 EDT 2024
% Result : Unsatisfiable 80.03s 11.69s
% Output : CNFRefutation 80.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 5
% Syntax : Number of clauses : 124 ( 52 unt; 0 nHn; 31 RR)
% Number of literals : 211 ( 0 equ; 89 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 359 ( 123 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(implies(x,not(x)),not(x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_38) ).
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_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_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_462,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_508,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_462,c_116]) ).
cnf(c_566,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_508,c_298]) ).
cnf(c_876,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_3449,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_52,c_116]) ).
cnf(c_3639,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3)))) ),
inference(superposition,[status(thm)],[c_876,c_114]) ).
cnf(c_3685,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_566]) ).
cnf(c_4480,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X1,X3),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_3639,c_49]) ).
cnf(c_4832,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_51,c_4480]) ).
cnf(c_5137,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_3449,c_4832]) ).
cnf(c_5436,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_5137,c_3685]) ).
cnf(c_5439,plain,
is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_5137,c_114]) ).
cnf(c_6443,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_5439,c_5436]) ).
cnf(c_6646,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_6666,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_6443,c_6646]) ).
cnf(c_6729,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_6666,c_298]) ).
cnf(c_6739,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(X0),X2))),X3))),
inference(superposition,[status(thm)],[c_52,c_6729]) ).
cnf(c_7138,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_566]) ).
cnf(c_7232,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_7138]) ).
cnf(c_7707,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_7232]) ).
cnf(c_7974,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_7707]) ).
cnf(c_8032,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_7974,c_197]) ).
cnf(c_8272,plain,
is_a_theorem(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3)),
inference(superposition,[status(thm)],[c_6739,c_8032]) ).
cnf(c_35731,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_35732,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_35797,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(X0),X2))),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_6443,c_197]) ).
cnf(c_35833,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_8272,c_35731]) ).
cnf(c_36076,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_35833,c_298]) ).
cnf(c_36190,plain,
is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(superposition,[status(thm)],[c_50,c_35797]) ).
cnf(c_36429,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_36076]) ).
cnf(c_36432,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_36076]) ).
cnf(c_36584,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_194,c_36432]) ).
cnf(c_36617,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_36584,c_298]) ).
cnf(c_37140,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_36617]) ).
cnf(c_37168,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X4,implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_36190,c_36617]) ).
cnf(c_37193,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_35732,c_37140]) ).
cnf(c_38866,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_51,c_37168]) ).
cnf(c_38878,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_37193,c_37168]) ).
cnf(c_38895,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_36429,c_37168]) ).
cnf(c_39054,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_38895,c_197]) ).
cnf(c_39086,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_38866,c_197]) ).
cnf(c_39120,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_38878,c_197]) ).
cnf(c_39179,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_39054]) ).
cnf(c_39277,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_39179,c_298]) ).
cnf(c_39279,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_39179,c_114]) ).
cnf(c_39663,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_194,c_39086]) ).
cnf(c_39991,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_50,c_39120]) ).
cnf(c_40168,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_39991,c_114]) ).
cnf(c_40446,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(not(X2),X3)) ),
inference(superposition,[status(thm)],[c_39663,c_39054]) ).
cnf(c_47325,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1)))),
inference(superposition,[status(thm)],[c_39279,c_39277]) ).
cnf(c_47753,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X0,X1))))),
inference(superposition,[status(thm)],[c_47325,c_114]) ).
cnf(c_59125,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_40168,c_49]) ).
cnf(c_59689,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_59125]) ).
cnf(c_61673,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_47753,c_59689]) ).
cnf(c_66628,plain,
is_a_theorem(implies(not(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),X3)),
inference(superposition,[status(thm)],[c_61673,c_40446]) ).
cnf(c_86413,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_86436,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_66628,c_86413]) ).
cnf(c_86439,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_6443,c_86413]) ).
cnf(c_86455,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_116]) ).
cnf(c_86474,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_86488,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_8272,c_86413]) ).
cnf(c_86490,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_86488,c_86413]) ).
cnf(c_86511,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_86490,c_197]) ).
cnf(c_86524,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X0,X1))),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_66628,c_197]) ).
cnf(c_86584,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_86436,c_86511]) ).
cnf(c_86680,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_86439,c_298]) ).
cnf(c_86682,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_86584,c_298]) ).
cnf(c_86762,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_86436,c_86682]) ).
cnf(c_86772,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_86762,c_197]) ).
cnf(c_86788,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_86772]) ).
cnf(c_86827,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_86788,c_298]) ).
cnf(c_86862,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X3),X1),X2))),
inference(superposition,[status(thm)],[c_238,c_86772]) ).
cnf(c_88355,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1)))),
inference(superposition,[status(thm)],[c_86862,c_86524]) ).
cnf(c_88357,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_88355,c_49]) ).
cnf(c_89409,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_566]) ).
cnf(c_89518,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_89409,c_88357]) ).
cnf(c_89636,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_89518,c_197]) ).
cnf(c_90038,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_50,c_89636]) ).
cnf(c_90175,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_90038,c_114]) ).
cnf(c_92697,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_50,c_86827]) ).
cnf(c_92701,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_115,c_86827]) ).
cnf(c_92949,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_92697,c_49]) ).
cnf(c_93075,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_92701,c_49]) ).
cnf(c_97723,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_90175,c_49]) ).
cnf(c_98090,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_97723]) ).
cnf(c_98380,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_86455,c_98090]) ).
cnf(c_98406,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_86439,c_98090]) ).
cnf(c_98950,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_98380,c_92949]) ).
cnf(c_98951,plain,
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_98380,c_93075]) ).
cnf(c_99001,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_98406,c_93075]) ).
cnf(c_101826,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_194,c_98951]) ).
cnf(c_101843,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_876,c_98951]) ).
cnf(c_103053,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_50,c_99001]) ).
cnf(c_103306,plain,
is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_103053,c_114]) ).
cnf(c_105030,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_86474,c_101826]) ).
cnf(c_105052,plain,
is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_103306,c_101826]) ).
cnf(c_106101,plain,
~ is_a_theorem(implies(not(not(x)),x)),
inference(superposition,[status(thm)],[c_101843,c_53]) ).
cnf(c_107639,plain,
is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_105052,c_101826]) ).
cnf(c_110415,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_98950,c_101826]) ).
cnf(c_111643,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_110415,c_114]) ).
cnf(c_112285,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_111643,c_86680]) ).
cnf(c_112599,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_112285,c_298]) ).
cnf(c_114263,plain,
is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_107639,c_112599]) ).
cnf(c_115146,plain,
is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_114263,c_105030]) ).
cnf(c_120543,plain,
is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_115146,c_388]) ).
cnf(c_121052,plain,
is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_120543,c_101826]) ).
cnf(c_121054,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_106101,c_121052]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL379-1 : TPTP v8.1.2. Released v2.3.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 19:21:34 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 80.03/11.69 % SZS status Started for theBenchmark.p
% 80.03/11.69 % SZS status Unsatisfiable for theBenchmark.p
% 80.03/11.69
% 80.03/11.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 80.03/11.69
% 80.03/11.69 ------ iProver source info
% 80.03/11.69
% 80.03/11.69 git: date: 2024-05-02 19:28:25 +0000
% 80.03/11.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 80.03/11.69 git: non_committed_changes: false
% 80.03/11.69
% 80.03/11.69 ------ Parsing...successful
% 80.03/11.69
% 80.03/11.69
% 80.03/11.69
% 80.03/11.69 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 80.03/11.69
% 80.03/11.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 80.03/11.69 ------ Proving...
% 80.03/11.69 ------ Problem Properties
% 80.03/11.69
% 80.03/11.69
% 80.03/11.69 clauses 5
% 80.03/11.69 conjectures 1
% 80.03/11.69 EPR 0
% 80.03/11.69 Horn 5
% 80.03/11.69 unary 4
% 80.03/11.69 binary 0
% 80.03/11.69 lits 7
% 80.03/11.69 lits eq 0
% 80.03/11.69 fd_pure 0
% 80.03/11.69 fd_pseudo 0
% 80.03/11.69 fd_cond 0
% 80.03/11.69 fd_pseudo_cond 0
% 80.03/11.69 AC symbols 0
% 80.03/11.69
% 80.03/11.69 ------ Input Options Time Limit: Unbounded
% 80.03/11.69
% 80.03/11.69
% 80.03/11.69 ------
% 80.03/11.69 Current options:
% 80.03/11.69 ------
% 80.03/11.69
% 80.03/11.69
% 80.03/11.69
% 80.03/11.69
% 80.03/11.69 ------ Proving...
% 80.03/11.69
% 80.03/11.69
% 80.03/11.69 % SZS status Unsatisfiable for theBenchmark.p
% 80.03/11.69
% 80.03/11.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 80.03/11.69
% 80.03/11.70
%------------------------------------------------------------------------------