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  
%------------------------------------------------------------------------------