TSTP Solution File: SEU213+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU213+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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  : 600s
% DateTime : Tue Jul 19 08:39:36 EDT 2022

% Result   : Theorem 8.16s 2.51s
% Output   : CNFRefutation 8.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   64 (  19 unt;  12 nHn;  62 RR)
%            Number of literals    :  191 (  17 equ; 119 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    6 (   2 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   :  108 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-dpmcdqd1/lgb.p',i_0_8) ).

cnf(i_0_4,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_4) ).

cnf(i_0_59,negated_conjecture,
    ( in(esk15_0,relation_dom(esk17_0))
    | in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_59) ).

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-dpmcdqd1/lgb.p',i_0_19) ).

cnf(i_0_26,plain,
    ( relation(relation_composition(X1,X2))
    | ~ relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_26) ).

cnf(i_0_34,plain,
    ( function(relation_composition(X1,X2))
    | ~ function(X2)
    | ~ function(X1)
    | ~ relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_34) ).

cnf(i_0_63,negated_conjecture,
    function(esk16_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_63) ).

cnf(i_0_61,negated_conjecture,
    function(esk17_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_61) ).

cnf(i_0_64,negated_conjecture,
    relation(esk16_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_64) ).

cnf(i_0_62,negated_conjecture,
    relation(esk17_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_62) ).

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-dpmcdqd1/lgb.p',i_0_17) ).

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-dpmcdqd1/lgb.p',i_0_11) ).

cnf(i_0_58,negated_conjecture,
    ( in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
    | in(apply(esk17_0,esk15_0),relation_dom(esk16_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_58) ).

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-dpmcdqd1/lgb.p',i_0_7) ).

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-dpmcdqd1/lgb.p',i_0_18) ).

cnf(i_0_60,negated_conjecture,
    ( ~ in(esk15_0,relation_dom(esk17_0))
    | ~ in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
    | ~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dpmcdqd1/lgb.p',i_0_60) ).

cnf(c_0_81,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_82,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_4 ).

cnf(c_0_83,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X1))),X2)
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(X1,relation_dom(X2)) ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_81]),c_0_82]) ).

cnf(c_0_84,negated_conjecture,
    ( in(esk15_0,relation_dom(esk17_0))
    | in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))) ),
    i_0_59 ).

cnf(c_0_85,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_86,plain,
    ( relation(relation_composition(X1,X2))
    | ~ relation(X2)
    | ~ relation(X1) ),
    i_0_26 ).

cnf(c_0_87,negated_conjecture,
    ( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
    | in(esk15_0,relation_dom(esk17_0))
    | ~ function(relation_composition(esk17_0,esk16_0))
    | ~ relation(relation_composition(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_88,plain,
    ( function(relation_composition(X1,X2))
    | ~ function(X2)
    | ~ function(X1)
    | ~ relation(X2)
    | ~ relation(X1) ),
    i_0_34 ).

cnf(c_0_89,negated_conjecture,
    function(esk16_0),
    i_0_63 ).

cnf(c_0_90,negated_conjecture,
    function(esk17_0),
    i_0_61 ).

cnf(c_0_91,negated_conjecture,
    relation(esk16_0),
    i_0_64 ).

cnf(c_0_92,negated_conjecture,
    relation(esk17_0),
    i_0_62 ).

cnf(c_0_93,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_94,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_95,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),relation_composition(X2,X3)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_82])]),c_0_86]) ).

cnf(c_0_96,plain,
    ( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
    | in(esk15_0,relation_dom(esk17_0))
    | ~ relation(relation_composition(esk17_0,esk16_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_87,c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92])]) ).

cnf(c_0_97,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X5,X2),singleton(X5)),X4)
    | ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_93]),c_0_86]) ).

cnf(c_0_98,negated_conjecture,
    ( in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
    | in(apply(esk17_0,esk15_0),relation_dom(esk16_0)) ),
    i_0_58 ).

cnf(c_0_99,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),X2) ),
    inference(er,[status(thm)],[c_0_94]) ).

cnf(c_0_100,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X1,X4))),X2)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),relation_composition(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_95,c_0_82]) ).

cnf(c_0_101,plain,
    ( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
    | in(esk15_0,relation_dom(esk17_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_86]),c_0_91]),c_0_92])]) ).

cnf(c_0_102,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),relation_composition(X3,X4))
    | ~ relation(X4)
    | ~ relation(X3)
    | ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X2)),X4)
    | ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
    inference(spm,[status(thm)],[c_0_97,c_0_82]) ).

cnf(c_0_103,negated_conjecture,
    ( in(unordered_pair(singleton(apply(esk17_0,esk15_0)),unordered_pair(apply(esk17_0,esk15_0),apply(esk16_0,apply(esk17_0,esk15_0)))),esk16_0)
    | in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_98]),c_0_89]),c_0_91])]) ).

cnf(c_0_104,plain,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_99,c_0_82]) ).

cnf(c_0_105,plain,
    ( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk4_5(esk17_0,esk16_0,relation_composition(esk17_0,esk16_0),esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0)))),esk17_0)
    | in(esk15_0,relation_dom(esk17_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_91]),c_0_92])]) ).

cnf(c_0_106,negated_conjecture,
    ( in(unordered_pair(unordered_pair(X1,apply(esk16_0,apply(esk17_0,esk15_0))),singleton(X1)),relation_composition(X2,esk16_0))
    | in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X1,apply(esk17_0,esk15_0)),singleton(X1)),X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_91])]) ).

cnf(c_0_107,plain,
    in(esk15_0,relation_dom(esk17_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_92])]) ).

cnf(c_0_108,plain,
    ( in(unordered_pair(unordered_pair(X1,apply(esk16_0,apply(esk17_0,esk15_0))),singleton(X1)),relation_composition(X2,esk16_0))
    | in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
    | ~ relation(X2)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,apply(esk17_0,esk15_0))),X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_82]) ).

cnf(c_0_109,plain,
    in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(esk17_0,esk15_0))),esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_107]),c_0_90]),c_0_92])]) ).

cnf(c_0_110,plain,
    ( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(esk16_0,apply(esk17_0,esk15_0)))),relation_composition(esk17_0,esk16_0))
    | in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_92])]),c_0_82]) ).

cnf(c_0_111,plain,
    ( in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
    | ~ relation(relation_composition(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_104,c_0_110]) ).

cnf(c_0_112,plain,
    in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_86]),c_0_91]),c_0_92])]) ).

cnf(c_0_113,plain,
    ( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
    | ~ function(relation_composition(esk17_0,esk16_0))
    | ~ relation(relation_composition(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_112]) ).

cnf(c_0_114,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_115,plain,
    ( in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0))
    | ~ relation(relation_composition(esk17_0,esk16_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_113,c_0_88]),c_0_89]),c_0_90]),c_0_91]),c_0_92])]) ).

cnf(c_0_116,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_117,plain,
    ( X1 = apply(X2,X3)
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X2) ),
    inference(csr,[status(thm)],[c_0_114,c_0_99]) ).

cnf(c_0_118,plain,
    in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0))),relation_composition(esk17_0,esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_86]),c_0_91]),c_0_92])]) ).

cnf(c_0_119,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X4,X1)),singleton(esk4_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),relation_composition(X2,X3)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_82])]),c_0_86]) ).

cnf(c_0_120,plain,
    ( X1 = apply(X2,X3)
    | ~ function(X2)
    | ~ relation(X2)
    | ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2) ),
    inference(spm,[status(thm)],[c_0_117,c_0_82]) ).

cnf(c_0_121,plain,
    in(unordered_pair(singleton(esk15_0),unordered_pair(esk15_0,esk4_5(esk17_0,esk16_0,relation_composition(esk17_0,esk16_0),esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0)))),esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_118]),c_0_91]),c_0_92])]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ in(esk15_0,relation_dom(esk17_0))
    | ~ in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
    | ~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0)) ),
    i_0_60 ).

cnf(c_0_123,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_5(X2,X3,relation_composition(X2,X3),X4,X1)),singleton(esk4_5(X2,X3,relation_composition(X2,X3),X4,X1))),X3)
    | ~ relation(X3)
    | ~ relation(X2)
    | ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X1)),relation_composition(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_119,c_0_82]) ).

cnf(c_0_124,plain,
    esk4_5(esk17_0,esk16_0,relation_composition(esk17_0,esk16_0),esk15_0,apply(relation_composition(esk17_0,esk16_0),esk15_0)) = apply(esk17_0,esk15_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_90]),c_0_92])]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ in(esk15_0,relation_dom(relation_composition(esk17_0,esk16_0)))
    | ~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_107])]) ).

cnf(c_0_126,plain,
    in(unordered_pair(singleton(apply(esk17_0,esk15_0)),unordered_pair(apply(esk17_0,esk15_0),apply(relation_composition(esk17_0,esk16_0),esk15_0))),esk16_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_118]),c_0_124]),c_0_124]),c_0_91]),c_0_92])]),c_0_82]),c_0_82]) ).

cnf(c_0_127,negated_conjecture,
    ~ in(apply(esk17_0,esk15_0),relation_dom(esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_112])]) ).

cnf(c_0_128,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_126]),c_0_91])]),c_0_127]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU213+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.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 07:17:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.16/2.51  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.16/2.51  # No SInE strategy applied
% 8.16/2.51  # Trying AutoSched0 for 150 seconds
% 8.16/2.51  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 8.16/2.51  # and selection function SelectCQIPrecWNTNp.
% 8.16/2.51  #
% 8.16/2.51  # Preprocessing time       : 0.016 s
% 8.16/2.51  # Presaturation interreduction done
% 8.16/2.51  
% 8.16/2.51  # Proof found!
% 8.16/2.51  # SZS status Theorem
% 8.16/2.51  # SZS output start CNFRefutation
% See solution above
% 8.16/2.51  # Training examples: 0 positive, 0 negative
% 8.16/2.51  
% 8.16/2.51  # -------------------------------------------------
% 8.16/2.51  # User time                : 0.027 s
% 8.16/2.51  # System time              : 0.006 s
% 8.16/2.51  # Total time               : 0.033 s
% 8.16/2.51  # Maximum resident set size: 7120 pages
% 8.16/2.51  
%------------------------------------------------------------------------------