TSTP Solution File: LCL003-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL003-1 : 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 : Fri May  3 02:36:33 EDT 2024

% Result   : Unsatisfiable 56.58s 8.76s
% Output   : CNFRefutation 56.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   71
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  118 (  75 unt;   0 nHn;   6 RR)
%            Number of literals    :  163 (   0 equ;  47 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   :  420 ( 247 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ is_a_theorem(or(not(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(or(not(or(not(or(not(X0),X1)),or(X2,or(X3,X4)))),or(not(or(not(X3),X0)),or(X2,or(X4,X0))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_CAMerideth) ).

cnf(c_51,negated_conjecture,
    ~ is_a_theorem(or(not(or(a,b)),or(b,a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_2) ).

cnf(c_69,plain,
    ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X4))))
    | is_a_theorem(or(not(or(not(X3),X0)),or(X2,or(X4,X0)))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_72,plain,
    is_a_theorem(or(not(or(not(X0),or(not(X1),X2))),or(not(or(not(X3),X1)),or(or(X4,X1),or(not(X1),X2))))),
    inference(superposition,[status(thm)],[c_50,c_69]) ).

cnf(c_82,plain,
    ( ~ is_a_theorem(or(not(X0),or(not(X1),X2)))
    | is_a_theorem(or(not(or(not(X3),X1)),or(or(X4,X1),or(not(X1),X2)))) ),
    inference(superposition,[status(thm)],[c_72,c_49]) ).

cnf(c_83,plain,
    is_a_theorem(or(not(or(not(or(X0,X1)),X2)),or(not(or(not(X3),X1)),or(or(not(X1),X4),X2)))),
    inference(superposition,[status(thm)],[c_72,c_69]) ).

cnf(c_157,plain,
    ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X4))))
    | is_a_theorem(or(not(or(not(X3),X0)),or(X2,or(X4,X0)))) ),
    inference(superposition,[status(thm)],[c_50,c_49]) ).

cnf(c_208,plain,
    is_a_theorem(or(not(or(not(or(not(X0),X1)),or(X2,X0))),or(not(or(not(X3),X0)),or(X4,or(X2,X0))))),
    inference(superposition,[status(thm)],[c_83,c_157]) ).

cnf(c_287,plain,
    ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
    | is_a_theorem(or(not(or(not(X3),X0)),or(X4,or(X2,X0)))) ),
    inference(superposition,[status(thm)],[c_208,c_49]) ).

cnf(c_291,plain,
    is_a_theorem(or(not(or(not(X0),or(or(not(X1),X2),X1))),or(X3,or(not(or(not(X4),X1)),or(or(not(X1),X2),X1))))),
    inference(superposition,[status(thm)],[c_83,c_287]) ).

cnf(c_292,plain,
    is_a_theorem(or(not(or(not(X0),or(not(X1),or(X2,X1)))),or(X3,or(not(or(not(X4),X1)),or(not(X1),or(X2,X1)))))),
    inference(superposition,[status(thm)],[c_208,c_287]) ).

cnf(c_569,plain,
    ( ~ is_a_theorem(or(not(X0),or(not(X1),or(X2,X1))))
    | is_a_theorem(or(X3,or(not(or(not(X4),X1)),or(not(X1),or(X2,X1))))) ),
    inference(superposition,[status(thm)],[c_292,c_49]) ).

cnf(c_5197,plain,
    is_a_theorem(or(not(or(not(not(or(not(X0),X1))),X2)),or(X3,or(or(or(not(X1),X4),X1),X2)))),
    inference(superposition,[status(thm)],[c_291,c_157]) ).

cnf(c_5281,plain,
    is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(or(or(not(X3),X4),X3),X2))))),
    inference(superposition,[status(thm)],[c_5197,c_569]) ).

cnf(c_5334,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(or(or(not(X3),X4),X3),X2)))) ),
    inference(superposition,[status(thm)],[c_5281,c_49]) ).

cnf(c_5401,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X1),or(or(or(not(X2),X3),X2),X1)))),
    inference(superposition,[status(thm)],[c_5281,c_5334]) ).

cnf(c_5413,plain,
    is_a_theorem(or(not(or(not(or(or(not(X0),X1),X0)),X2)),or(not(X3),or(X3,X2)))),
    inference(superposition,[status(thm)],[c_5401,c_157]) ).

cnf(c_5467,plain,
    is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(X2,X2))))),
    inference(superposition,[status(thm)],[c_5413,c_569]) ).

cnf(c_5482,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X2,X2)))) ),
    inference(superposition,[status(thm)],[c_5467,c_49]) ).

cnf(c_5524,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X1),or(X1,X1)))),
    inference(superposition,[status(thm)],[c_5281,c_5482]) ).

cnf(c_5624,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X0),or(X0,X1)))),
    inference(superposition,[status(thm)],[c_5524,c_157]) ).

cnf(c_5676,plain,
    is_a_theorem(or(not(or(not(X0),X0)),or(not(X0),or(X1,X0)))),
    inference(superposition,[status(thm)],[c_5624,c_157]) ).

cnf(c_5720,plain,
    is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(X3,X2))))),
    inference(superposition,[status(thm)],[c_5676,c_569]) ).

cnf(c_5886,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) ),
    inference(superposition,[status(thm)],[c_5720,c_49]) ).

cnf(c_6271,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X1),or(X2,X1)))),
    inference(superposition,[status(thm)],[c_5401,c_5886]) ).

cnf(c_6292,plain,
    ( ~ is_a_theorem(or(not(X0),X1))
    | is_a_theorem(or(not(X1),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_6271,c_49]) ).

cnf(c_6293,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X2),or(X2,X1)))),
    inference(superposition,[status(thm)],[c_6271,c_157]) ).

cnf(c_6355,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X0),or(X2,X1)))),
    inference(superposition,[status(thm)],[c_6293,c_157]) ).

cnf(c_7031,plain,
    is_a_theorem(or(not(or(not(X0),or(X1,X2))),or(X3,or(not(X0),or(X1,X2))))),
    inference(superposition,[status(thm)],[c_6355,c_6292]) ).

cnf(c_7046,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(or(X2,X1),or(not(X1),or(X3,X4))))),
    inference(superposition,[status(thm)],[c_6355,c_82]) ).

cnf(c_11251,plain,
    ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
    | is_a_theorem(or(not(or(not(X3),X0)),or(X4,or(X2,X0)))) ),
    inference(superposition,[status(thm)],[c_208,c_49]) ).

cnf(c_11329,plain,
    is_a_theorem(or(not(or(not(not(X0)),X0)),or(X1,or(or(X2,X3),X0)))),
    inference(superposition,[status(thm)],[c_7031,c_157]) ).

cnf(c_11344,plain,
    is_a_theorem(or(not(or(not(or(X0,X1)),not(X2))),or(X3,or(X2,not(X2))))),
    inference(superposition,[status(thm)],[c_11329,c_157]) ).

cnf(c_11363,plain,
    is_a_theorem(or(not(or(not(X0),or(X1,not(X1)))),or(X2,or(X3,or(X1,not(X1)))))),
    inference(superposition,[status(thm)],[c_11344,c_11251]) ).

cnf(c_11398,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(or(X3,not(X3)),X1)))),
    inference(superposition,[status(thm)],[c_11363,c_157]) ).

cnf(c_11421,plain,
    is_a_theorem(or(not(or(not(or(X0,not(X0))),X1)),or(X2,or(X3,X1)))),
    inference(superposition,[status(thm)],[c_11398,c_157]) ).

cnf(c_11616,plain,
    is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(X3,X2))))),
    inference(superposition,[status(thm)],[c_11421,c_569]) ).

cnf(c_11718,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) ),
    inference(superposition,[status(thm)],[c_11616,c_49]) ).

cnf(c_11872,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X1),or(X2,X1)))),
    inference(superposition,[status(thm)],[c_11398,c_11718]) ).

cnf(c_12011,plain,
    ( ~ is_a_theorem(or(not(X0),X1))
    | is_a_theorem(or(not(X1),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_11872,c_49]) ).

cnf(c_12040,plain,
    is_a_theorem(or(not(or(X0,or(X1,X2))),or(X3,or(X0,or(X1,X2))))),
    inference(superposition,[status(thm)],[c_11421,c_12011]) ).

cnf(c_26896,plain,
    ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
    | is_a_theorem(or(not(or(not(X3),X0)),or(X4,or(X2,X0)))) ),
    inference(superposition,[status(thm)],[c_208,c_49]) ).

cnf(c_26921,plain,
    is_a_theorem(or(not(or(not(X0),or(not(X1),or(X2,X3)))),or(X4,or(or(X5,X1),or(not(X1),or(X2,X3)))))),
    inference(superposition,[status(thm)],[c_7046,c_26896]) ).

cnf(c_27024,plain,
    ( ~ is_a_theorem(or(not(X0),or(not(X1),or(X2,X3))))
    | is_a_theorem(or(X4,or(or(X5,X1),or(not(X1),or(X2,X3))))) ),
    inference(superposition,[status(thm)],[c_26921,c_49]) ).

cnf(c_27186,plain,
    is_a_theorem(or(not(or(not(not(X0)),X0)),or(X1,or(or(X2,X3),X0)))),
    inference(superposition,[status(thm)],[c_12040,c_157]) ).

cnf(c_27233,plain,
    is_a_theorem(or(not(or(not(or(X0,X1)),not(X2))),or(X3,or(X2,not(X2))))),
    inference(superposition,[status(thm)],[c_27186,c_157]) ).

cnf(c_27323,plain,
    is_a_theorem(or(not(or(not(X0),or(X1,not(X1)))),or(X2,or(X3,or(X1,not(X1)))))),
    inference(superposition,[status(thm)],[c_27233,c_26896]) ).

cnf(c_27706,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(or(X3,not(X3)),X1)))),
    inference(superposition,[status(thm)],[c_27323,c_157]) ).

cnf(c_27727,plain,
    is_a_theorem(or(not(or(not(or(X0,not(X0))),X1)),or(X2,or(X3,X1)))),
    inference(superposition,[status(thm)],[c_27706,c_157]) ).

cnf(c_27811,plain,
    ( ~ is_a_theorem(or(not(or(X0,not(X0))),X1))
    | is_a_theorem(or(X2,or(X3,X1))) ),
    inference(superposition,[status(thm)],[c_27727,c_49]) ).

cnf(c_27817,plain,
    is_a_theorem(or(X0,or(not(or(not(X1),X2)),or(not(X2),or(X3,X2))))),
    inference(superposition,[status(thm)],[c_27727,c_569]) ).

cnf(c_27821,plain,
    is_a_theorem(or(X0,or(or(X1,X2),or(not(X2),or(X3,X4))))),
    inference(superposition,[status(thm)],[c_27727,c_27024]) ).

cnf(c_27876,plain,
    is_a_theorem(or(X0,or(X1,or(X2,or(X3,not(not(or(X4,not(X4))))))))),
    inference(superposition,[status(thm)],[c_27727,c_27811]) ).

cnf(c_28184,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) ),
    inference(superposition,[status(thm)],[c_27817,c_49]) ).

cnf(c_28256,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(X1,or(X2,or(X3,not(not(or(X4,not(X4)))))))) ),
    inference(superposition,[status(thm)],[c_27876,c_49]) ).

cnf(c_28400,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X1),or(X2,X1)))),
    inference(superposition,[status(thm)],[c_27821,c_28184]) ).

cnf(c_28498,plain,
    is_a_theorem(or(X0,or(X1,or(X2,not(not(or(X3,not(X3)))))))),
    inference(superposition,[status(thm)],[c_27821,c_28256]) ).

cnf(c_28614,plain,
    ( ~ is_a_theorem(or(not(X0),X1))
    | is_a_theorem(or(not(X1),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_28400,c_49]) ).

cnf(c_28615,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X2),or(X2,X1)))),
    inference(superposition,[status(thm)],[c_28400,c_157]) ).

cnf(c_28659,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(X1,or(X2,not(not(or(X3,not(X3))))))) ),
    inference(superposition,[status(thm)],[c_28498,c_49]) ).

cnf(c_28730,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X0),or(X2,X1)))),
    inference(superposition,[status(thm)],[c_28615,c_157]) ).

cnf(c_28733,plain,
    is_a_theorem(or(not(or(not(X0),or(X1,X2))),or(X3,or(not(X1),or(X1,X2))))),
    inference(superposition,[status(thm)],[c_28615,c_26896]) ).

cnf(c_28957,plain,
    is_a_theorem(or(X0,or(X1,not(not(or(X2,not(X2))))))),
    inference(superposition,[status(thm)],[c_27821,c_28659]) ).

cnf(c_29051,plain,
    ( ~ is_a_theorem(or(not(X0),or(X1,X2)))
    | is_a_theorem(or(X3,or(not(X1),or(X1,X2)))) ),
    inference(superposition,[status(thm)],[c_28733,c_49]) ).

cnf(c_29052,plain,
    is_a_theorem(or(not(or(not(not(X0)),X1)),or(X2,or(or(X0,X3),X1)))),
    inference(superposition,[status(thm)],[c_28733,c_157]) ).

cnf(c_29074,plain,
    ( ~ is_a_theorem(or(not(not(X0)),X1))
    | is_a_theorem(or(X2,or(or(X0,X3),X1))) ),
    inference(superposition,[status(thm)],[c_29052,c_49]) ).

cnf(c_29152,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(X1,not(not(or(X2,not(X2)))))) ),
    inference(superposition,[status(thm)],[c_28957,c_49]) ).

cnf(c_29295,plain,
    is_a_theorem(or(X0,not(not(or(X1,not(X1)))))),
    inference(superposition,[status(thm)],[c_27821,c_29152]) ).

cnf(c_29311,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(not(not(or(X1,not(X1))))) ),
    inference(superposition,[status(thm)],[c_29295,c_49]) ).

cnf(c_29385,plain,
    is_a_theorem(not(not(or(X0,not(X0))))),
    inference(superposition,[status(thm)],[c_27821,c_29311]) ).

cnf(c_29404,plain,
    ( ~ is_a_theorem(or(not(not(X0)),X1))
    | ~ is_a_theorem(X2)
    | is_a_theorem(or(or(X0,X3),X1)) ),
    inference(superposition,[status(thm)],[c_29074,c_49]) ).

cnf(c_29544,plain,
    is_a_theorem(or(X0,or(not(X1),or(X1,or(X2,X3))))),
    inference(superposition,[status(thm)],[c_27727,c_29051]) ).

cnf(c_29667,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(X1),or(X1,or(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_29544,c_49]) ).

cnf(c_29753,plain,
    is_a_theorem(or(not(X0),or(X0,or(X1,X2)))),
    inference(superposition,[status(thm)],[c_27821,c_29667]) ).

cnf(c_29771,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(X0,or(X1,X2))) ),
    inference(superposition,[status(thm)],[c_29753,c_49]) ).

cnf(c_29815,plain,
    ( ~ is_a_theorem(not(X0))
    | is_a_theorem(or(X1,or(not(X2),or(X2,X3)))) ),
    inference(superposition,[status(thm)],[c_29771,c_29051]) ).

cnf(c_29857,plain,
    is_a_theorem(or(X0,or(X1,or(not(X2),or(X3,not(not(X2))))))),
    inference(superposition,[status(thm)],[c_28730,c_27811]) ).

cnf(c_30354,plain,
    is_a_theorem(or(X0,or(not(X1),or(X1,X2)))),
    inference(superposition,[status(thm)],[c_29385,c_29815]) ).

cnf(c_30372,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(X1),or(X1,X2))) ),
    inference(superposition,[status(thm)],[c_30354,c_49]) ).

cnf(c_30385,plain,
    is_a_theorem(or(X0,or(X1,or(not(X2),or(X2,X3))))),
    inference(superposition,[status(thm)],[c_30354,c_27811]) ).

cnf(c_30458,plain,
    is_a_theorem(or(not(X0),or(X0,X1))),
    inference(superposition,[status(thm)],[c_27821,c_30372]) ).

cnf(c_30677,plain,
    is_a_theorem(or(not(or(X0,X1)),or(X2,or(X0,X1)))),
    inference(superposition,[status(thm)],[c_30458,c_28614]) ).

cnf(c_30689,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(X0,X1)) ),
    inference(superposition,[status(thm)],[c_30458,c_49]) ).

cnf(c_30698,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(or(X1,X2),or(not(X1),X3))) ),
    inference(superposition,[status(thm)],[c_30458,c_29404]) ).

cnf(c_30722,plain,
    ( ~ is_a_theorem(not(X0))
    | is_a_theorem(or(not(X1),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_30689,c_28614]) ).

cnf(c_31209,plain,
    is_a_theorem(or(X0,or(X1,or(X2,or(not(X3),or(X3,X4)))))),
    inference(superposition,[status(thm)],[c_30385,c_27811]) ).

cnf(c_31409,plain,
    is_a_theorem(or(not(or(not(not(X0)),X0)),or(X1,or(X2,X0)))),
    inference(superposition,[status(thm)],[c_30677,c_157]) ).

cnf(c_31469,plain,
    is_a_theorem(or(not(X0),or(X1,X0))),
    inference(superposition,[status(thm)],[c_29385,c_30722]) ).

cnf(c_32342,plain,
    is_a_theorem(or(or(X0,X1),or(not(X0),X2))),
    inference(superposition,[status(thm)],[c_27821,c_30698]) ).

cnf(c_32990,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(X1,or(not(X2),or(X3,not(not(X2)))))) ),
    inference(superposition,[status(thm)],[c_29857,c_49]) ).

cnf(c_33309,plain,
    is_a_theorem(or(X0,or(not(X1),or(X2,not(not(X1)))))),
    inference(superposition,[status(thm)],[c_32342,c_32990]) ).

cnf(c_33526,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(X2),or(not(not(X2)),X1)))),
    inference(superposition,[status(thm)],[c_33309,c_157]) ).

cnf(c_33927,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(or(not(X3),or(X3,X4)),X1)))),
    inference(superposition,[status(thm)],[c_31209,c_157]) ).

cnf(c_34519,plain,
    ( ~ is_a_theorem(or(not(not(X0)),X0))
    | is_a_theorem(or(X1,or(X2,X0))) ),
    inference(superposition,[status(thm)],[c_31409,c_49]) ).

cnf(c_36542,plain,
    ( ~ is_a_theorem(or(not(X0),X1))
    | is_a_theorem(or(not(X2),or(not(not(X2)),X1))) ),
    inference(superposition,[status(thm)],[c_33526,c_49]) ).

cnf(c_36834,plain,
    ( ~ is_a_theorem(not(X0))
    | is_a_theorem(or(not(X1),or(not(not(X1)),X2))) ),
    inference(superposition,[status(thm)],[c_30689,c_36542]) ).

cnf(c_36835,plain,
    is_a_theorem(or(not(X0),or(not(not(X0)),or(X1,X2)))),
    inference(superposition,[status(thm)],[c_31469,c_36542]) ).

cnf(c_37186,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(not(or(not(X1),X2))),or(X3,X1)))),
    inference(superposition,[status(thm)],[c_36835,c_157]) ).

cnf(c_37461,plain,
    is_a_theorem(or(not(X0),or(not(not(X0)),X1))),
    inference(superposition,[status(thm)],[c_29385,c_36834]) ).

cnf(c_37641,plain,
    is_a_theorem(or(X0,or(X1,or(not(not(or(X2,not(X2)))),X3)))),
    inference(superposition,[status(thm)],[c_37461,c_27811]) ).

cnf(c_38045,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(X1,or(not(not(or(X2,not(X2)))),X3))) ),
    inference(superposition,[status(thm)],[c_37641,c_49]) ).

cnf(c_38493,plain,
    is_a_theorem(or(X0,or(not(not(or(X1,not(X1)))),X2))),
    inference(superposition,[status(thm)],[c_37461,c_38045]) ).

cnf(c_38511,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(not(or(X1,not(X1)))),X2)) ),
    inference(superposition,[status(thm)],[c_38493,c_49]) ).

cnf(c_38687,plain,
    is_a_theorem(or(not(not(or(X0,not(X0)))),X1)),
    inference(superposition,[status(thm)],[c_37461,c_38511]) ).

cnf(c_46062,plain,
    ( ~ is_a_theorem(or(not(X0),X1))
    | is_a_theorem(or(X2,or(or(not(X3),or(X3,X4)),X1))) ),
    inference(superposition,[status(thm)],[c_33927,c_49]) ).

cnf(c_47719,plain,
    is_a_theorem(or(X0,or(or(not(X1),or(X1,X2)),X3))),
    inference(superposition,[status(thm)],[c_38687,c_46062]) ).

cnf(c_58206,plain,
    ( ~ is_a_theorem(or(not(X0),X1))
    | is_a_theorem(or(not(not(or(not(X1),X2))),or(X3,X1))) ),
    inference(superposition,[status(thm)],[c_37186,c_49]) ).

cnf(c_58540,plain,
    is_a_theorem(or(not(not(or(not(X0),X1))),or(X2,X0))),
    inference(superposition,[status(thm)],[c_38687,c_58206]) ).

cnf(c_58639,plain,
    is_a_theorem(or(X0,or(X1,or(not(X2),X2)))),
    inference(superposition,[status(thm)],[c_58540,c_34519]) ).

cnf(c_58648,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(X1,or(not(X2),X2))) ),
    inference(superposition,[status(thm)],[c_58639,c_49]) ).

cnf(c_58906,plain,
    is_a_theorem(or(X0,or(not(X1),X1))),
    inference(superposition,[status(thm)],[c_47719,c_58648]) ).

cnf(c_59512,plain,
    ( ~ is_a_theorem(X0)
    | is_a_theorem(or(not(X1),X1)) ),
    inference(superposition,[status(thm)],[c_58906,c_49]) ).

cnf(c_59525,plain,
    is_a_theorem(or(not(or(not(X0),X1)),or(not(or(X0,X2)),or(X2,X1)))),
    inference(superposition,[status(thm)],[c_58906,c_157]) ).

cnf(c_59811,plain,
    is_a_theorem(or(not(X0),X0)),
    inference(superposition,[status(thm)],[c_47719,c_59512]) ).

cnf(c_61056,plain,
    ( ~ is_a_theorem(or(not(X0),X1))
    | is_a_theorem(or(not(or(X0,X2)),or(X2,X1))) ),
    inference(superposition,[status(thm)],[c_59525,c_49]) ).

cnf(c_63542,plain,
    ~ is_a_theorem(or(not(a),a)),
    inference(superposition,[status(thm)],[c_61056,c_51]) ).

cnf(c_63560,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_63542,c_59811]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May  2 19:03:18 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  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
% 56.58/8.76  % SZS status Started for theBenchmark.p
% 56.58/8.76  % SZS status Unsatisfiable for theBenchmark.p
% 56.58/8.76  
% 56.58/8.76  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 56.58/8.76  
% 56.58/8.76  ------  iProver source info
% 56.58/8.76  
% 56.58/8.76  git: date: 2024-05-02 19:28:25 +0000
% 56.58/8.76  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 56.58/8.76  git: non_committed_changes: false
% 56.58/8.76  
% 56.58/8.76  ------ Parsing...successful
% 56.58/8.76  
% 56.58/8.76  
% 56.58/8.76  
% 56.58/8.76  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 56.58/8.76  
% 56.58/8.76  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 56.58/8.76  ------ Proving...
% 56.58/8.76  ------ Problem Properties 
% 56.58/8.76  
% 56.58/8.76  
% 56.58/8.76  clauses                                 3
% 56.58/8.76  conjectures                             1
% 56.58/8.76  EPR                                     0
% 56.58/8.76  Horn                                    3
% 56.58/8.76  unary                                   2
% 56.58/8.76  binary                                  0
% 56.58/8.76  lits                                    5
% 56.58/8.76  lits eq                                 0
% 56.58/8.76  fd_pure                                 0
% 56.58/8.76  fd_pseudo                               0
% 56.58/8.76  fd_cond                                 0
% 56.58/8.76  fd_pseudo_cond                          0
% 56.58/8.76  AC symbols                              0
% 56.58/8.76  
% 56.58/8.76  ------ Input Options Time Limit: Unbounded
% 56.58/8.76  
% 56.58/8.76  
% 56.58/8.76  ------ 
% 56.58/8.76  Current options:
% 56.58/8.76  ------ 
% 56.58/8.76  
% 56.58/8.76  
% 56.58/8.76  
% 56.58/8.76  
% 56.58/8.76  ------ Proving...
% 56.58/8.76  
% 56.58/8.76  
% 56.58/8.76  % SZS status Unsatisfiable for theBenchmark.p
% 56.58/8.76  
% 56.58/8.76  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 56.58/8.76  
% 56.58/8.76  
%------------------------------------------------------------------------------