TSTP Solution File: SET159+4 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET159+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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  : 600s
% DateTime : Tue Jul 19 00:10:01 EDT 2022

% Result   : Theorem 9.67s 2.65s
% Output   : CNFRefutation 9.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   59 (  13 unt;   0 def)
%            Number of atoms       :  127 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  144 (  76   ~;  57   |;   7   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   39 (   2 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thI09,conjecture,
    ! [X1,X2,X6] : equal_set(union(union(X1,X2),X6),union(X1,union(X2,X6))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI09) ).

fof(equal_set,axiom,
    ! [X1,X2] :
      ( equal_set(X1,X2)
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

fof(subset,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

fof(union,axiom,
    ! [X3,X1,X2] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',union) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2,X6] : equal_set(union(union(X1,X2),X6),union(X1,union(X2,X6))),
    inference(assume_negation,[status(cth)],[thI09]) ).

fof(c_0_5,negated_conjecture,
    ~ equal_set(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_6,plain,
    ! [X13,X14] :
      ( ( subset(X13,X14)
        | ~ equal_set(X13,X14) )
      & ( subset(X14,X13)
        | ~ equal_set(X13,X14) )
      & ( ~ subset(X13,X14)
        | ~ subset(X14,X13)
        | equal_set(X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ equal_set(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( equal_set(X1,X2)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ( ~ subset(X7,X8)
        | ~ member(X9,X7)
        | member(X9,X8) )
      & ( member(esk1_2(X10,X11),X10)
        | subset(X10,X11) )
      & ( ~ member(esk1_2(X10,X11),X11)
        | subset(X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ subset(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
    | ~ subset(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0)))
    | ~ subset(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_13,plain,
    ! [X20,X21,X22] :
      ( ( ~ member(X20,union(X21,X22))
        | member(X20,X21)
        | member(X20,X22) )
      & ( ~ member(X20,X21)
        | member(X20,union(X21,X22)) )
      & ( ~ member(X20,X22)
        | member(X20,union(X21,X22)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0)))
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_11]) ).

cnf(c_0_15,plain,
    ( member(X1,union(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    ( member(esk1_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_15]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    ( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0))
    | ~ subset(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_16]) ).

cnf(c_0_26,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
    | member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0)
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_18]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_15]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_18]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_18]) ).

cnf(c_0_31,negated_conjecture,
    ( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0))
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_11]) ).

cnf(c_0_32,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_15]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0)
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_15]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0)
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_18]) ).

cnf(c_0_36,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_18]) ).

cnf(c_0_38,negated_conjecture,
    ( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
    | member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_32]),c_0_33]),c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0)
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_15]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0)
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_18]) ).

cnf(c_0_43,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
    | ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_36]),c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_15]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_15]) ).

cnf(c_0_46,negated_conjecture,
    ( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_18]),c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_40]),c_0_41]),c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_43]),c_0_44]),c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
    | member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_16]) ).

cnf(c_0_50,negated_conjecture,
    ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_46]),c_0_47]),c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    ( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
    | member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_49]),c_0_39]) ).

cnf(c_0_52,negated_conjecture,
    ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0),
    inference(spm,[status(thm)],[c_0_50,c_0_18]) ).

cnf(c_0_53,negated_conjecture,
    ( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
    | member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_51]),c_0_52]) ).

cnf(c_0_54,negated_conjecture,
    ( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
    | ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_15]),c_0_39]) ).

cnf(c_0_55,negated_conjecture,
    member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_53]),c_0_47]),c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_54]),c_0_47]),c_0_48]) ).

cnf(c_0_57,negated_conjecture,
    ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0),
    inference(spm,[status(thm)],[c_0_50,c_0_15]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_55]),c_0_56]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET159+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 05:13:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.67/2.65  # ENIGMATIC: Solved by autoschedule:
% 9.67/2.65  # No SInE strategy applied
% 9.67/2.65  # Trying AutoSched0 for 150 seconds
% 9.67/2.65  # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 9.67/2.65  # and selection function SelectVGNonCR.
% 9.67/2.65  #
% 9.67/2.65  # Preprocessing time       : 0.017 s
% 9.67/2.65  # Presaturation interreduction done
% 9.67/2.65  
% 9.67/2.65  # Proof found!
% 9.67/2.65  # SZS status Theorem
% 9.67/2.65  # SZS output start CNFRefutation
% See solution above
% 9.67/2.65  # Training examples: 0 positive, 0 negative
% 9.67/2.65  
% 9.67/2.65  # -------------------------------------------------
% 9.67/2.65  # User time                : 0.355 s
% 9.67/2.65  # System time              : 0.025 s
% 9.67/2.65  # Total time               : 0.380 s
% 9.67/2.65  # Maximum resident set size: 7124 pages
% 9.67/2.65  
%------------------------------------------------------------------------------