TSTP Solution File: LCL380-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL380-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 07:44:08 EDT 2023

% Result   : Unsatisfiable 58.05s 8.71s
% Output   : CNFRefutation 58.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :    5
% Syntax   : Number of clauses     :  107 (  48 unt;   0 nHn;  28 RR)
%            Number of literals    :  180 (   0 equ;  75 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   :  316 ( 120 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,y),implies(not(not(x)),y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_41) ).

cnf(c_106,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_110,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(implies(X0,X2)) ),
    inference(superposition,[status(thm)],[c_106,c_49]) ).

cnf(c_111,plain,
    ~ is_a_theorem(implies(not(not(x)),x)),
    inference(superposition,[status(thm)],[c_106,c_53]) ).

cnf(c_136,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_156,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_157,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_158,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_206,plain,
    ( ~ is_a_theorem(implies(not(X0),X0))
    | ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_157,c_49]) ).

cnf(c_224,plain,
    is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_50,c_158]) ).

cnf(c_225,plain,
    is_a_theorem(implies(X0,X0)),
    inference(superposition,[status(thm)],[c_51,c_158]) ).

cnf(c_226,plain,
    is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
    inference(superposition,[status(thm)],[c_52,c_158]) ).

cnf(c_227,plain,
    ( ~ is_a_theorem(implies(X0,not(X1)))
    | is_a_theorem(implies(X1,implies(X0,X2))) ),
    inference(superposition,[status(thm)],[c_136,c_158]) ).

cnf(c_368,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_461,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
    inference(superposition,[status(thm)],[c_224,c_49]) ).

cnf(c_508,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(not(X0),X2))) ),
    inference(superposition,[status(thm)],[c_461,c_368]) ).

cnf(c_623,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_110]) ).

cnf(c_773,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_156]) ).

cnf(c_774,plain,
    is_a_theorem(implies(implies(X0,X1),implies(not(implies(implies(X1,X2),implies(X0,X2))),X3))),
    inference(superposition,[status(thm)],[c_52,c_156]) ).

cnf(c_3605,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_3721,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_3870,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_3721,c_623]) ).

cnf(c_3953,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_3605,c_3870]) ).

cnf(c_3954,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_3721,c_3870]) ).

cnf(c_4269,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_3953]) ).

cnf(c_4905,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_51,c_4269]) ).

cnf(c_4992,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(implies(X2,implies(X3,X1))) ),
    inference(superposition,[status(thm)],[c_4905,c_3953]) ).

cnf(c_4998,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_4905,c_3954]) ).

cnf(c_5004,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
    inference(superposition,[status(thm)],[c_4905,c_4269]) ).

cnf(c_5145,plain,
    is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3))),
    inference(superposition,[status(thm)],[c_226,c_4998]) ).

cnf(c_5187,plain,
    is_a_theorem(implies(X0,implies(X1,implies(not(implies(X2,X2)),X3)))),
    inference(superposition,[status(thm)],[c_52,c_4992]) ).

cnf(c_5338,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_5004,c_206]) ).

cnf(c_5631,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(implies(X3,X3)),X4))))),
    inference(superposition,[status(thm)],[c_5187,c_4992]) ).

cnf(c_5884,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_50,c_5338]) ).

cnf(c_6031,plain,
    is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
    inference(superposition,[status(thm)],[c_5884,c_156]) ).

cnf(c_6882,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
    inference(superposition,[status(thm)],[c_6031,c_4269]) ).

cnf(c_7140,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(not(X2),X4)))))),
    inference(superposition,[status(thm)],[c_6882,c_4992]) ).

cnf(c_17084,plain,
    ( ~ is_a_theorem(implies(not(X0),X0))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_17087,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_17102,plain,
    is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)),
    inference(superposition,[status(thm)],[c_5145,c_17084]) ).

cnf(c_17104,plain,
    is_a_theorem(implies(not(implies(X0,X0)),X1)),
    inference(superposition,[status(thm)],[c_17102,c_17084]) ).

cnf(c_17144,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_17104,c_206]) ).

cnf(c_17155,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(implies(X2,X2)),X3))),X4))
    | is_a_theorem(X4) ),
    inference(superposition,[status(thm)],[c_5631,c_206]) ).

cnf(c_17161,plain,
    is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
    inference(superposition,[status(thm)],[c_51,c_17155]) ).

cnf(c_17310,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
    inference(superposition,[status(thm)],[c_7140,c_17144]) ).

cnf(c_17318,plain,
    is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_17310,c_17144]) ).

cnf(c_17323,plain,
    is_a_theorem(implies(X0,implies(X1,implies(not(implies(not(X0),X2)),X3)))),
    inference(superposition,[status(thm)],[c_17318,c_368]) ).

cnf(c_17355,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_17371,plain,
    ( ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2))
    | is_a_theorem(implies(X3,X2)) ),
    inference(superposition,[status(thm)],[c_17161,c_110]) ).

cnf(c_17606,plain,
    is_a_theorem(implies(X0,implies(X1,X1))),
    inference(superposition,[status(thm)],[c_51,c_17371]) ).

cnf(c_17623,plain,
    is_a_theorem(implies(X0,implies(X1,implies(not(implies(not(implies(not(implies(X2,X2)),X3)),X4)),X5)))),
    inference(superposition,[status(thm)],[c_17323,c_17371]) ).

cnf(c_18459,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_17355,c_623]) ).

cnf(c_18655,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_17087,c_18459]) ).

cnf(c_18656,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_17355,c_18459]) ).

cnf(c_20164,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(implies(X2,implies(X3,X1))) ),
    inference(superposition,[status(thm)],[c_17606,c_18655]) ).

cnf(c_20269,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
    inference(superposition,[status(thm)],[c_17606,c_20164]) ).

cnf(c_20641,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
    | is_a_theorem(implies(X3,X2)) ),
    inference(superposition,[status(thm)],[c_20269,c_18656]) ).

cnf(c_23699,plain,
    is_a_theorem(implies(X0,implies(not(implies(implies(implies(X1,X1),X2),implies(X3,X2))),X4))),
    inference(superposition,[status(thm)],[c_774,c_20641]) ).

cnf(c_39170,plain,
    ( ~ is_a_theorem(implies(not(X0),X0))
    | is_a_theorem(X0) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_39173,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_39182,plain,
    is_a_theorem(implies(not(implies(implies(implies(X0,X0),X1),implies(X2,X1))),X3)),
    inference(superposition,[status(thm)],[c_23699,c_39170]) ).

cnf(c_39213,plain,
    ( ~ is_a_theorem(implies(X0,not(implies(not(X1),X2))))
    | is_a_theorem(implies(X1,implies(X0,X3))) ),
    inference(superposition,[status(thm)],[c_227,c_368]) ).

cnf(c_39228,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(not(implies(not(implies(not(implies(X1,X1)),X2)),X3)),X4)),X5))
    | is_a_theorem(X5) ),
    inference(superposition,[status(thm)],[c_17623,c_206]) ).

cnf(c_39342,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_39483,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_773,c_49]) ).

cnf(c_39595,plain,
    is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
    inference(superposition,[status(thm)],[c_7140,c_39228]) ).

cnf(c_39607,plain,
    is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
    inference(superposition,[status(thm)],[c_39595,c_39228]) ).

cnf(c_39609,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
    | is_a_theorem(implies(X1,X3)) ),
    inference(superposition,[status(thm)],[c_39607,c_110]) ).

cnf(c_39631,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X0,X0),X1),implies(X2,X1)),X3))
    | is_a_theorem(X3) ),
    inference(superposition,[status(thm)],[c_39182,c_206]) ).

cnf(c_39632,plain,
    is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_39182,c_39170]) ).

cnf(c_39636,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
    inference(superposition,[status(thm)],[c_39632,c_110]) ).

cnf(c_40224,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
    inference(superposition,[status(thm)],[c_39483,c_39631]) ).

cnf(c_42061,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_51,c_623]) ).

cnf(c_42064,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(X0)
    | is_a_theorem(implies(X2,X1)) ),
    inference(superposition,[status(thm)],[c_39342,c_623]) ).

cnf(c_42292,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | is_a_theorem(implies(X2,implies(X3,X1))) ),
    inference(superposition,[status(thm)],[c_39632,c_42064]) ).

cnf(c_42481,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(X1,implies(X2,X0))) ),
    inference(superposition,[status(thm)],[c_42061,c_42292]) ).

cnf(c_42561,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | ~ is_a_theorem(X1)
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_42481,c_206]) ).

cnf(c_42797,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(superposition,[status(thm)],[c_50,c_42561]) ).

cnf(c_42922,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
    inference(superposition,[status(thm)],[c_42797,c_156]) ).

cnf(c_44914,plain,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
    inference(superposition,[status(thm)],[c_39342,c_39636]) ).

cnf(c_45467,plain,
    ( ~ is_a_theorem(implies(implies(X0,X0),X1))
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_44914,c_49]) ).

cnf(c_54466,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_42922,c_49]) ).

cnf(c_54705,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_54466]) ).

cnf(c_58329,plain,
    is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(superposition,[status(thm)],[c_225,c_54705]) ).

cnf(c_58388,plain,
    is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
    inference(superposition,[status(thm)],[c_39607,c_54705]) ).

cnf(c_59648,plain,
    is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
    inference(superposition,[status(thm)],[c_58329,c_40224]) ).

cnf(c_59649,plain,
    ( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
    | is_a_theorem(X1) ),
    inference(superposition,[status(thm)],[c_58329,c_45467]) ).

cnf(c_59786,plain,
    ( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
    | is_a_theorem(X2) ),
    inference(superposition,[status(thm)],[c_58388,c_45467]) ).

cnf(c_61812,plain,
    ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
    | is_a_theorem(implies(X0,X1)) ),
    inference(superposition,[status(thm)],[c_39173,c_59649]) ).

cnf(c_65831,plain,
    is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
    inference(superposition,[status(thm)],[c_50,c_59786]) ).

cnf(c_66419,plain,
    is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
    inference(superposition,[status(thm)],[c_65831,c_156]) ).

cnf(c_68082,plain,
    ( ~ is_a_theorem(implies(not(X0),not(X1)))
    | is_a_theorem(implies(X1,X0)) ),
    inference(superposition,[status(thm)],[c_227,c_61812]) ).

cnf(c_68152,plain,
    is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_66419,c_61812]) ).

cnf(c_73903,plain,
    is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
    inference(superposition,[status(thm)],[c_68152,c_61812]) ).

cnf(c_78517,plain,
    is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
    inference(superposition,[status(thm)],[c_59648,c_61812]) ).

cnf(c_78557,plain,
    is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_78517,c_156]) ).

cnf(c_78647,plain,
    is_a_theorem(implies(X0,implies(X1,X0))),
    inference(superposition,[status(thm)],[c_78557,c_39609]) ).

cnf(c_78786,plain,
    ( ~ is_a_theorem(implies(implies(X0,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(superposition,[status(thm)],[c_78647,c_110]) ).

cnf(c_80565,plain,
    is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
    inference(superposition,[status(thm)],[c_73903,c_78786]) ).

cnf(c_81782,plain,
    is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
    inference(superposition,[status(thm)],[c_80565,c_68082]) ).

cnf(c_86203,plain,
    is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(superposition,[status(thm)],[c_81782,c_39213]) ).

cnf(c_86680,plain,
    is_a_theorem(implies(not(not(X0)),X0)),
    inference(superposition,[status(thm)],[c_86203,c_61812]) ).

cnf(c_86683,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_111,c_86680]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL380-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 03:50:41 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  Running first-order theorem proving
% 0.21/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 58.05/8.71  % SZS status Started for theBenchmark.p
% 58.05/8.71  % SZS status Unsatisfiable for theBenchmark.p
% 58.05/8.71  
% 58.05/8.71  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 58.05/8.71  
% 58.05/8.71  ------  iProver source info
% 58.05/8.71  
% 58.05/8.71  git: date: 2023-05-31 18:12:56 +0000
% 58.05/8.71  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 58.05/8.71  git: non_committed_changes: false
% 58.05/8.71  git: last_make_outside_of_git: false
% 58.05/8.71  
% 58.05/8.71  ------ Parsing...successful
% 58.05/8.71  
% 58.05/8.71  
% 58.05/8.71  
% 58.05/8.71  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 58.05/8.71  
% 58.05/8.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 58.05/8.71  ------ Proving...
% 58.05/8.71  ------ Problem Properties 
% 58.05/8.71  
% 58.05/8.71  
% 58.05/8.71  clauses                                 5
% 58.05/8.71  conjectures                             1
% 58.05/8.71  EPR                                     0
% 58.05/8.71  Horn                                    5
% 58.05/8.71  unary                                   4
% 58.05/8.71  binary                                  0
% 58.05/8.71  lits                                    7
% 58.05/8.71  lits eq                                 0
% 58.05/8.71  fd_pure                                 0
% 58.05/8.71  fd_pseudo                               0
% 58.05/8.71  fd_cond                                 0
% 58.05/8.71  fd_pseudo_cond                          0
% 58.05/8.71  AC symbols                              0
% 58.05/8.71  
% 58.05/8.71  ------ Input Options Time Limit: Unbounded
% 58.05/8.71  
% 58.05/8.71  
% 58.05/8.71  ------ 
% 58.05/8.71  Current options:
% 58.05/8.71  ------ 
% 58.05/8.71  
% 58.05/8.71  
% 58.05/8.71  
% 58.05/8.71  
% 58.05/8.71  ------ Proving...
% 58.05/8.71  
% 58.05/8.71  
% 58.05/8.71  % SZS status Unsatisfiable for theBenchmark.p
% 58.05/8.71  
% 58.05/8.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.05/8.71  
% 58.05/8.72  
%------------------------------------------------------------------------------