TSTP Solution File: SEU213+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU213+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:39:36 EDT 2022

% Result   : Theorem 15.64s 3.28s
% Output   : CNFRefutation 15.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   64 (  15 unt;   7 nHn;  62 RR)
%            Number of literals    :  299 (  58 equ; 233 neg)
%            Maximal clause size   :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-5 aty)
%            Number of variables   :  178 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_11) ).

cnf(i_0_4,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_4) ).

cnf(i_0_19,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
    | X4 != relation_composition(X2,X3)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_19) ).

cnf(i_0_17,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != relation_composition(X4,X5)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ relation(X4)
    | ~ in(unordered_pair(unordered_pair(X6,X2),singleton(X6)),X5)
    | ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_17) ).

cnf(i_0_8,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X2 != apply(X3,X1)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_8) ).

cnf(i_0_20,plain,
    ( relation(relation_composition(X1,X2))
    | ~ relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_20) ).

cnf(i_0_18,plain,
    ( in(unordered_pair(unordered_pair(esk4_5(X1,X2,X3,X4,X5),X5),singleton(esk4_5(X1,X2,X3,X4,X5))),X2)
    | X3 != relation_composition(X1,X2)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_18) ).

cnf(i_0_7,plain,
    ( X1 = apply(X2,X3)
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(X3,relation_dom(X2))
    | ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_7) ).

cnf(i_0_58,negated_conjecture,
    ( in(esk17_0,relation_dom(esk19_0))
    | in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_58) ).

cnf(i_0_61,negated_conjecture,
    relation(esk19_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_61) ).

cnf(i_0_63,negated_conjecture,
    relation(esk18_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_63) ).

cnf(i_0_27,plain,
    ( function(relation_composition(X1,X2))
    | ~ function(X2)
    | ~ function(X1)
    | ~ relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_27) ).

cnf(i_0_62,negated_conjecture,
    function(esk18_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_62) ).

cnf(i_0_60,negated_conjecture,
    function(esk19_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_60) ).

cnf(i_0_57,negated_conjecture,
    ( in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0)))
    | in(apply(esk19_0,esk17_0),relation_dom(esk18_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_57) ).

cnf(i_0_59,negated_conjecture,
    ( ~ in(esk17_0,relation_dom(esk19_0))
    | ~ in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0)))
    | ~ in(apply(esk19_0,esk17_0),relation_dom(esk18_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8dvf6bb/input.p',i_0_59) ).

cnf(c_0_80,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3) ),
    i_0_11 ).

cnf(c_0_81,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_4 ).

cnf(c_0_82,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,X4,X1,X5)),singleton(X1)),X2)
    | X4 != relation_composition(X2,X3)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4) ),
    i_0_19 ).

cnf(c_0_83,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_84,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,X4,X1,X5))),X2)
    | X4 != relation_composition(X2,X3)
    | ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X4)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ relation(X2) ),
    inference(rw,[status(thm)],[c_0_82,c_0_81]) ).

cnf(c_0_85,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != relation_composition(X4,X5)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ relation(X4)
    | ~ in(unordered_pair(unordered_pair(X6,X2),singleton(X6)),X5)
    | ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4) ),
    i_0_17 ).

cnf(c_0_86,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X2 != apply(X3,X1)
    | ~ function(X3)
    | ~ relation(X3)
    | ~ in(X1,relation_dom(X3)) ),
    i_0_8 ).

cnf(c_0_87,plain,
    ( in(X1,X2)
    | X3 != relation_composition(X4,X5)
    | X2 != relation_dom(X4)
    | ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X3)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ relation(X5) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_88,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != relation_composition(X4,X5)
    | X2 != apply(X5,X6)
    | ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4)
    | ~ in(X6,relation_dom(X5))
    | ~ relation(X5)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ function(X5) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_89,plain,
    ( in(X1,X2)
    | X3 != relation_composition(X4,X5)
    | X6 != apply(X3,X1)
    | X2 != relation_dom(X4)
    | ~ in(X1,relation_dom(X3))
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ function(X3) ),
    inference(spm,[status(thm)],[c_0_87,c_0_86]) ).

cnf(c_0_90,plain,
    ( relation(relation_composition(X1,X2))
    | ~ relation(X2)
    | ~ relation(X1) ),
    i_0_20 ).

cnf(c_0_91,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != relation_composition(X4,X5)
    | X2 != apply(X5,X6)
    | X6 != apply(X4,X1)
    | ~ in(X6,relation_dom(X5))
    | ~ in(X1,relation_dom(X4))
    | ~ relation(X5)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ function(X5)
    | ~ function(X4) ),
    inference(spm,[status(thm)],[c_0_88,c_0_86]) ).

cnf(c_0_92,plain,
    ( in(unordered_pair(unordered_pair(esk4_5(X1,X2,X3,X4,X5),X5),singleton(esk4_5(X1,X2,X3,X4,X5))),X2)
    | X3 != relation_composition(X1,X2)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ relation(X1)
    | ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3) ),
    i_0_18 ).

cnf(c_0_93,plain,
    ( X1 = apply(X2,X3)
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(X3,relation_dom(X2))
    | ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
    i_0_7 ).

cnf(c_0_94,plain,
    ( in(X1,X2)
    | X3 != apply(relation_composition(X4,X5),X1)
    | X2 != relation_dom(X4)
    | ~ in(X1,relation_dom(relation_composition(X4,X5)))
    | ~ relation(X4)
    | ~ relation(X5)
    | ~ function(relation_composition(X4,X5)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_89]),c_0_90]) ).

cnf(c_0_95,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
    | X2 != apply(X4,X5)
    | X5 != apply(X3,X1)
    | ~ in(X5,relation_dom(X4))
    | ~ in(X1,relation_dom(X3))
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ function(X4)
    | ~ function(X3) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_91]),c_0_90]) ).

cnf(c_0_96,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X1)),X3)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_97,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,X4,X5,X1)),singleton(esk4_5(X2,X3,X4,X5,X1))),X3)
    | X4 != relation_composition(X2,X3)
    | ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X4)
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ relation(X2) ),
    inference(rw,[status(thm)],[c_0_92,c_0_81]) ).

cnf(c_0_98,plain,
    ( X1 = apply(X2,X3)
    | ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2)
    | ~ in(X3,relation_dom(X2))
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_81]) ).

cnf(c_0_99,plain,
    ( in(X1,X2)
    | X2 != relation_dom(X3)
    | ~ in(X1,relation_dom(relation_composition(X3,X4)))
    | ~ relation(X3)
    | ~ relation(X4)
    | ~ function(relation_composition(X3,X4)) ),
    inference(er,[status(thm)],[c_0_94]) ).

cnf(c_0_100,negated_conjecture,
    ( in(esk17_0,relation_dom(esk19_0))
    | in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0))) ),
    i_0_58 ).

cnf(c_0_101,negated_conjecture,
    relation(esk19_0),
    i_0_61 ).

cnf(c_0_102,negated_conjecture,
    relation(esk18_0),
    i_0_63 ).

cnf(c_0_103,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X3))),relation_composition(X4,X2))
    | X3 != apply(X4,X1)
    | ~ in(X3,relation_dom(X2))
    | ~ in(X1,relation_dom(X4))
    | ~ relation(X2)
    | ~ relation(X4)
    | ~ function(X2)
    | ~ function(X4) ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_95]),c_0_81]) ).

cnf(c_0_104,plain,
    ( in(esk4_5(X1,X2,X3,X4,X5),X6)
    | X3 != relation_composition(X1,X2)
    | X6 != relation_dom(X2)
    | ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3)
    | ~ relation(X2)
    | ~ relation(X3)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_105,plain,
    ( esk4_5(X1,X2,X3,X4,X5) = apply(X1,X4)
    | X3 != relation_composition(X1,X2)
    | ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3)
    | ~ in(X4,relation_dom(X1))
    | ~ relation(X1)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_98,c_0_84]) ).

cnf(c_0_106,negated_conjecture,
    ( in(esk17_0,relation_dom(esk19_0))
    | in(esk17_0,X1)
    | X1 != relation_dom(esk19_0)
    | ~ function(relation_composition(esk19_0,esk18_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_102])]) ).

cnf(c_0_107,plain,
    ( function(relation_composition(X1,X2))
    | ~ function(X2)
    | ~ function(X1)
    | ~ relation(X2)
    | ~ relation(X1) ),
    i_0_27 ).

cnf(c_0_108,negated_conjecture,
    function(esk18_0),
    i_0_62 ).

cnf(c_0_109,negated_conjecture,
    function(esk19_0),
    i_0_60 ).

cnf(c_0_110,plain,
    ( in(X1,X2)
    | X2 != relation_dom(relation_composition(X3,X4))
    | X5 != apply(X3,X1)
    | ~ in(X5,relation_dom(X4))
    | ~ in(X1,relation_dom(X3))
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ function(X4)
    | ~ function(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_103]),c_0_90]) ).

cnf(c_0_111,plain,
    ( in(esk4_5(X1,X2,X3,X4,X5),X6)
    | X3 != relation_composition(X1,X2)
    | X5 != apply(X3,X4)
    | X6 != relation_dom(X2)
    | ~ in(X4,relation_dom(X3))
    | ~ relation(X2)
    | ~ relation(X3)
    | ~ relation(X1)
    | ~ function(X3) ),
    inference(spm,[status(thm)],[c_0_104,c_0_86]) ).

cnf(c_0_112,plain,
    ( esk4_5(X1,X2,X3,X4,X5) = apply(X1,X4)
    | X3 != relation_composition(X1,X2)
    | X5 != apply(X3,X4)
    | ~ in(X4,relation_dom(X1))
    | ~ in(X4,relation_dom(X3))
    | ~ relation(X1)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ function(X1)
    | ~ function(X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_86]) ).

cnf(c_0_113,plain,
    ( in(esk17_0,relation_dom(esk19_0))
    | in(esk17_0,X1)
    | X1 != relation_dom(esk19_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_102]),c_0_101]),c_0_108]),c_0_109])]) ).

cnf(c_0_114,plain,
    ( in(X1,relation_dom(relation_composition(X2,X3)))
    | X4 != apply(X2,X1)
    | ~ in(X4,relation_dom(X3))
    | ~ in(X1,relation_dom(X2))
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ function(X3)
    | ~ function(X2) ),
    inference(er,[status(thm)],[c_0_110]) ).

cnf(c_0_115,negated_conjecture,
    ( in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0)))
    | in(apply(esk19_0,esk17_0),relation_dom(esk18_0)) ),
    i_0_57 ).

cnf(c_0_116,plain,
    ( in(apply(X1,X2),X3)
    | X4 != relation_composition(X1,X5)
    | X6 != apply(X4,X2)
    | X3 != relation_dom(X5)
    | ~ in(X2,relation_dom(X4))
    | ~ in(X2,relation_dom(X1))
    | ~ relation(X5)
    | ~ relation(X4)
    | ~ relation(X1)
    | ~ function(X4)
    | ~ function(X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ in(esk17_0,relation_dom(esk19_0))
    | ~ in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0)))
    | ~ in(apply(esk19_0,esk17_0),relation_dom(esk18_0)) ),
    i_0_59 ).

cnf(c_0_118,plain,
    in(esk17_0,relation_dom(esk19_0)),
    inference(er,[status(thm)],[c_0_113]) ).

cnf(c_0_119,negated_conjecture,
    ( in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0)))
    | in(X1,relation_dom(relation_composition(X2,esk18_0)))
    | apply(esk19_0,esk17_0) != apply(X2,X1)
    | ~ in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ function(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_102]),c_0_108])]) ).

cnf(c_0_120,plain,
    ( in(apply(X1,X2),X3)
    | X4 != apply(relation_composition(X1,X5),X2)
    | X3 != relation_dom(X5)
    | ~ in(X2,relation_dom(relation_composition(X1,X5)))
    | ~ in(X2,relation_dom(X1))
    | ~ relation(X5)
    | ~ relation(X1)
    | ~ function(relation_composition(X1,X5))
    | ~ function(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_116]),c_0_90]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0)))
    | ~ in(apply(esk19_0,esk17_0),relation_dom(esk18_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).

cnf(c_0_122,plain,
    in(esk17_0,relation_dom(relation_composition(esk19_0,esk18_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_118]),c_0_101]),c_0_109])]) ).

cnf(c_0_123,plain,
    ( in(apply(X1,X2),X3)
    | X3 != relation_dom(X4)
    | ~ in(X2,relation_dom(relation_composition(X1,X4)))
    | ~ in(X2,relation_dom(X1))
    | ~ relation(X4)
    | ~ relation(X1)
    | ~ function(relation_composition(X1,X4))
    | ~ function(X1) ),
    inference(er,[status(thm)],[c_0_120]) ).

cnf(c_0_124,negated_conjecture,
    ~ in(apply(esk19_0,esk17_0),relation_dom(esk18_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).

cnf(c_0_125,plain,
    ( in(apply(esk19_0,esk17_0),X1)
    | X1 != relation_dom(esk18_0)
    | ~ function(relation_composition(esk19_0,esk18_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_122]),c_0_118]),c_0_102]),c_0_101]),c_0_109])]) ).

cnf(c_0_126,negated_conjecture,
    ~ function(relation_composition(esk19_0,esk18_0)),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_127,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_107]),c_0_102]),c_0_101]),c_0_108]),c_0_109])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU213+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.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 Jun 20 05:12:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 15.64/3.28  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.64/3.28  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 47; version: 991; iters: 150)
% 15.64/3.28  # Preprocessing time       : 0.809 s
% 15.64/3.28  
% 15.64/3.28  # Proof found!
% 15.64/3.28  # SZS status Theorem
% 15.64/3.28  # SZS output start CNFRefutation
% See solution above
% 15.64/3.28  # Training examples: 0 positive, 0 negative
% 15.64/3.28  
% 15.64/3.28  # -------------------------------------------------
% 15.64/3.28  # User time                : 0.849 s
% 15.64/3.28  # System time              : 0.102 s
% 15.64/3.28  # Total time               : 0.951 s
% 15.64/3.28  # ...preprocessing         : 0.809 s
% 15.64/3.28  # ...main loop             : 0.142 s
% 15.64/3.28  # Maximum resident set size: 167856 pages
% 15.64/3.28  
%------------------------------------------------------------------------------