TSTP Solution File: LCL049-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL049-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Thu Aug 31 07:42:12 EDT 2023
% Result : Unsatisfiable 167.81s 23.48s
% Output : CNFRefutation 167.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 5
% Syntax : Number of clauses : 119 ( 53 unt; 0 nHn; 32 RR)
% Number of literals : 201 ( 0 equ; 83 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 : 366 ( 151 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(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_20) ).
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_224,plain,
is_a_theorem(implies(X0,implies(not(implies(not(implies(not(X0),X1)),X2)),X3))),
inference(superposition,[status(thm)],[c_202,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_389,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_458,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_522,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_458,c_116]) ).
cnf(c_554,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3))
| is_a_theorem(implies(X2,X3)) ),
inference(superposition,[status(thm)],[c_200,c_298]) ).
cnf(c_559,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_522,c_298]) ).
cnf(c_2012,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_559]) ).
cnf(c_2119,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_2012]) ).
cnf(c_2509,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_2119]) ).
cnf(c_2893,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_2509]) ).
cnf(c_3127,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_2893,c_197]) ).
cnf(c_3317,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_52,c_3127]) ).
cnf(c_3369,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_3317,c_389]) ).
cnf(c_38414,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_38420,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_3369,c_38414]) ).
cnf(c_38436,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_38420,c_38414]) ).
cnf(c_38586,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_3369,c_298]) ).
cnf(c_38788,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_38586]) ).
cnf(c_39015,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_559]) ).
cnf(c_39105,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_39015]) ).
cnf(c_39809,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_39105]) ).
cnf(c_39844,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_38788,c_39105]) ).
cnf(c_39895,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_38788,c_39844]) ).
cnf(c_39913,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_39895,c_197]) ).
cnf(c_40018,plain,
is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X3),X1),X2))),
inference(superposition,[status(thm)],[c_238,c_39913]) ).
cnf(c_40369,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_38436,c_39809]) ).
cnf(c_40608,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_40369,c_197]) ).
cnf(c_43816,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(not(implies(X2,X1)),X3))),
inference(superposition,[status(thm)],[c_40018,c_40608]) ).
cnf(c_43846,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(X0),X2))),X3))),
inference(superposition,[status(thm)],[c_43816,c_554]) ).
cnf(c_43868,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(implies(X2,implies(not(implies(X3,X3)),X4))),X5)))),
inference(superposition,[status(thm)],[c_43846,c_39844]) ).
cnf(c_85323,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_85329,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_3369,c_85323]) ).
cnf(c_85345,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_85329,c_85323]) ).
cnf(c_85387,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_85329,c_197]) ).
cnf(c_85390,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_43868,c_197]) ).
cnf(c_85400,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_115,c_85390]) ).
cnf(c_85415,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(implies(X1,X1)),X2)),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_115,c_85400]) ).
cnf(c_85632,plain,
( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_3369,c_298]) ).
cnf(c_85732,plain,
is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),
inference(superposition,[status(thm)],[c_50,c_85415]) ).
cnf(c_85782,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_85632]) ).
cnf(c_85859,plain,
is_a_theorem(implies(implies(X0,not(implies(X1,X1))),implies(X2,implies(X0,X3)))),
inference(superposition,[status(thm)],[c_85732,c_114]) ).
cnf(c_85945,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_85859,c_116]) ).
cnf(c_85952,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_85945,c_298]) ).
cnf(c_86486,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_559]) ).
cnf(c_86640,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_86486]) ).
cnf(c_86641,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_115,c_86486]) ).
cnf(c_88248,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_86640]) ).
cnf(c_88276,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_85782,c_86640]) ).
cnf(c_88383,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_85782,c_88276]) ).
cnf(c_88452,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_88383,c_86641]) ).
cnf(c_88454,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_88383,c_197]) ).
cnf(c_88544,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_85345,c_88248]) ).
cnf(c_88868,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_88544,c_197]) ).
cnf(c_88924,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_88454]) ).
cnf(c_89039,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_88924,c_114]) ).
cnf(c_89071,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X0),X3))))),
inference(superposition,[status(thm)],[c_89039,c_85952]) ).
cnf(c_89774,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_194,c_88868]) ).
cnf(c_89777,plain,
is_a_theorem(implies(not(implies(not(implies(not(implies(X0,implies(not(X0),X1))),X2)),X3)),X4)),
inference(superposition,[status(thm)],[c_224,c_88868]) ).
cnf(c_90222,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(not(X1),X2)) ),
inference(superposition,[status(thm)],[c_89774,c_85387]) ).
cnf(c_91152,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(implies(X3,implies(X4,X4))),X5))))),
inference(superposition,[status(thm)],[c_89071,c_88452]) ).
cnf(c_91257,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(implies(X2,implies(X3,X3))),X4)))),X5)),
inference(superposition,[status(thm)],[c_91152,c_90222]) ).
cnf(c_336301,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_336307,plain,
is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_3369,c_336301]) ).
cnf(c_336321,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_336307,c_336301]) ).
cnf(c_336366,plain,
is_a_theorem(implies(not(implies(not(implies(X0,implies(not(X0),X1))),X2)),X3)),
inference(superposition,[status(thm)],[c_89777,c_336301]) ).
cnf(c_336390,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_336307,c_197]) ).
cnf(c_336497,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(implies(X2,implies(X3,X3))),X4)))),
inference(superposition,[status(thm)],[c_91257,c_336301]) ).
cnf(c_336579,plain,
is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(superposition,[status(thm)],[c_336366,c_336301]) ).
cnf(c_336585,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_336579,c_197]) ).
cnf(c_336596,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_194,c_336585]) ).
cnf(c_336660,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) ),
inference(superposition,[status(thm)],[c_336596,c_49]) ).
cnf(c_336863,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),
inference(superposition,[status(thm)],[c_336497,c_336390]) ).
cnf(c_336875,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_336863,c_336390]) ).
cnf(c_336881,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_336875,c_197]) ).
cnf(c_336902,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_336881]) ).
cnf(c_336932,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(not(implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_336902,c_336660]) ).
cnf(c_336933,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_336902,c_298]) ).
cnf(c_337156,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_336902,c_114]) ).
cnf(c_337227,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_337156,c_116]) ).
cnf(c_337234,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_337227,c_298]) ).
cnf(c_340907,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_559]) ).
cnf(c_341042,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(X1,X0)),X2)) ),
inference(superposition,[status(thm)],[c_340907,c_336932]) ).
cnf(c_341203,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_341042,c_197]) ).
cnf(c_341675,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_50,c_341203]) ).
cnf(c_341815,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_341675,c_114]) ).
cnf(c_346841,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_50,c_336933]) ).
cnf(c_346846,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_115,c_336933]) ).
cnf(c_347146,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_346841,c_49]) ).
cnf(c_347584,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_346846,c_49]) ).
cnf(c_355951,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_341815,c_49]) ).
cnf(c_356374,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_355951]) ).
cnf(c_356784,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_336321,c_356374]) ).
cnf(c_357392,plain,
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_356784,c_347584]) ).
cnf(c_357393,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_356784,c_347146]) ).
cnf(c_360421,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_194,c_357392]) ).
cnf(c_367994,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_357393,c_360421]) ).
cnf(c_368037,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_367994,c_114]) ).
cnf(c_368109,plain,
is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(superposition,[status(thm)],[c_368037,c_114]) ).
cnf(c_368145,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_368037,c_337234]) ).
cnf(c_368164,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_368145,c_298]) ).
cnf(c_368896,plain,
is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_368109,c_368164]) ).
cnf(c_368897,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_368896]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL049-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n011.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 Aug 24 17:17:22 EDT 2023
% 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 --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 167.81/23.48 % SZS status Started for theBenchmark.p
% 167.81/23.48 % SZS status Unsatisfiable for theBenchmark.p
% 167.81/23.48
% 167.81/23.48 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 167.81/23.48
% 167.81/23.48 ------ iProver source info
% 167.81/23.48
% 167.81/23.48 git: date: 2023-05-31 18:12:56 +0000
% 167.81/23.48 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 167.81/23.48 git: non_committed_changes: false
% 167.81/23.48 git: last_make_outside_of_git: false
% 167.81/23.48
% 167.81/23.48 ------ Parsing...successful
% 167.81/23.48
% 167.81/23.48
% 167.81/23.48
% 167.81/23.48 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 167.81/23.48
% 167.81/23.48 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 167.81/23.48 ------ Proving...
% 167.81/23.48 ------ Problem Properties
% 167.81/23.48
% 167.81/23.48
% 167.81/23.48 clauses 5
% 167.81/23.48 conjectures 1
% 167.81/23.48 EPR 0
% 167.81/23.48 Horn 5
% 167.81/23.48 unary 4
% 167.81/23.48 binary 0
% 167.81/23.48 lits 7
% 167.81/23.48 lits eq 0
% 167.81/23.48 fd_pure 0
% 167.81/23.48 fd_pseudo 0
% 167.81/23.48 fd_cond 0
% 167.81/23.48 fd_pseudo_cond 0
% 167.81/23.48 AC symbols 0
% 167.81/23.48
% 167.81/23.48 ------ Input Options Time Limit: Unbounded
% 167.81/23.48
% 167.81/23.48
% 167.81/23.48 ------
% 167.81/23.48 Current options:
% 167.81/23.48 ------
% 167.81/23.48
% 167.81/23.48
% 167.81/23.48
% 167.81/23.48
% 167.81/23.48 ------ Proving...
% 167.81/23.48
% 167.81/23.48
% 167.81/23.48 % SZS status Unsatisfiable for theBenchmark.p
% 167.81/23.48
% 167.81/23.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 167.81/23.49
% 167.81/23.49
%------------------------------------------------------------------------------