TSTP Solution File: SEU207+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU207+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 08:39:31 EDT 2022

% Result   : Theorem 18.05s 3.61s
% Output   : CNFRefutation 18.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   64 (  10 unt;   6 nHn;  56 RR)
%            Number of literals    :  309 (  84 equ; 235 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-5 aty)
%            Number of variables   :  250 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_18,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/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_18) ).

cnf(i_0_3,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_3) ).

cnf(i_0_9,plain,
    ( in(unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),X4),singleton(esk1_4(X1,X2,X3,X4))),X1)
    | X3 != relation_image(X1,X2)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_9) ).

cnf(i_0_13,plain,
    ( in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),X3),singleton(esk4_3(X1,X2,X3))),X1)
    | X2 != relation_rng(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_13) ).

cnf(i_0_12,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_12) ).

cnf(i_0_8,plain,
    ( in(esk1_4(X1,X2,X3,X4),X2)
    | X3 != relation_image(X1,X2)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_8) ).

cnf(i_0_7,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | ~ relation(X3)
    | ~ in(X5,X4)
    | ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_7) ).

cnf(i_0_19,plain,
    ( in(unordered_pair(unordered_pair(esk7_5(X1,X2,X3,X4,X5),X5),singleton(esk7_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/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_19) ).

cnf(i_0_20,plain,
    ( in(unordered_pair(unordered_pair(X1,esk7_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/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_20) ).

cnf(i_0_26,plain,
    ( relation(relation_composition(X1,X2))
    | ~ relation(X2)
    | ~ relation(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_26) ).

cnf(i_0_54,plain,
    ( X1 = X2
    | in(esk18_2(X1,X2),X2)
    | in(esk18_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_54) ).

cnf(i_0_50,negated_conjecture,
    relation(esk17_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_50) ).

cnf(i_0_51,negated_conjecture,
    relation(esk16_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_51) ).

cnf(i_0_49,negated_conjecture,
    relation_rng(relation_composition(esk16_0,esk17_0)) != relation_image(esk17_0,relation_rng(esk16_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_49) ).

cnf(i_0_55,plain,
    ( X1 = X2
    | ~ in(esk18_2(X1,X2),X2)
    | ~ in(esk18_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5ni58ui3/input.p',i_0_55) ).

cnf(c_0_71,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_18 ).

cnf(c_0_72,plain,
    unordered_pair(X1,X2) = unordered_pair(X2,X1),
    i_0_3 ).

cnf(c_0_73,plain,
    ( in(unordered_pair(unordered_pair(esk1_4(X1,X2,X3,X4),X4),singleton(esk1_4(X1,X2,X3,X4))),X1)
    | X3 != relation_image(X1,X2)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    i_0_9 ).

cnf(c_0_74,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != relation_composition(X4,X5)
    | ~ in(unordered_pair(unordered_pair(X2,X6),singleton(X6)),X5)
    | ~ in(unordered_pair(unordered_pair(X1,X6),singleton(X1)),X4)
    | ~ relation(X5)
    | ~ relation(X4)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_75,plain,
    ( in(unordered_pair(unordered_pair(X1,esk1_4(X2,X3,X4,X1)),singleton(esk1_4(X2,X3,X4,X1))),X2)
    | X4 != relation_image(X2,X3)
    | ~ in(X1,X4)
    | ~ relation(X2) ),
    inference(rw,[status(thm)],[c_0_73,c_0_72]) ).

cnf(c_0_76,plain,
    ( in(unordered_pair(unordered_pair(esk4_3(X1,X2,X3),X3),singleton(esk4_3(X1,X2,X3))),X1)
    | X2 != relation_rng(X1)
    | ~ relation(X1)
    | ~ in(X3,X2) ),
    i_0_13 ).

cnf(c_0_77,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != relation_composition(X4,X5)
    | X6 != relation_image(X5,X7)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_4(X5,X7,X6,X2))),X4)
    | ~ in(X2,X6)
    | ~ relation(X5)
    | ~ relation(X4)
    | ~ relation(X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_72]) ).

cnf(c_0_78,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_3(X2,X3,X1)),singleton(esk4_3(X2,X3,X1))),X2)
    | X3 != relation_rng(X2)
    | ~ in(X1,X3)
    | ~ relation(X2) ),
    inference(rw,[status(thm)],[c_0_76,c_0_72]) ).

cnf(c_0_79,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ relation(X3)
    | ~ in(unordered_pair(unordered_pair(X4,X1),singleton(X4)),X3) ),
    i_0_12 ).

cnf(c_0_80,plain,
    ( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
    | X3 != relation_composition(X4,X5)
    | X6 != relation_image(X5,X7)
    | ~ in(unordered_pair(singleton(X1),unordered_pair(esk1_4(X5,X7,X6,X2),X1)),X4)
    | ~ in(X2,X6)
    | ~ relation(X5)
    | ~ relation(X4)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_77,c_0_72]) ).

cnf(c_0_81,plain,
    ( in(unordered_pair(singleton(esk4_3(X1,X2,X3)),unordered_pair(X3,esk4_3(X1,X2,X3))),X1)
    | X2 != relation_rng(X1)
    | ~ in(X3,X2)
    | ~ relation(X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_72]) ).

cnf(c_0_82,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X4)),X3)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_79,c_0_72]) ).

cnf(c_0_83,plain,
    ( in(unordered_pair(unordered_pair(X1,esk4_3(X2,X3,esk1_4(X4,X5,X6,X1))),singleton(esk4_3(X2,X3,esk1_4(X4,X5,X6,X1)))),X7)
    | X7 != relation_composition(X2,X4)
    | X6 != relation_image(X4,X5)
    | X3 != relation_rng(X2)
    | ~ in(esk1_4(X4,X5,X6,X1),X3)
    | ~ in(X1,X6)
    | ~ relation(X4)
    | ~ relation(X2)
    | ~ relation(X7) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_72]) ).

cnf(c_0_84,plain,
    ( in(X1,X2)
    | X3 != relation_composition(X4,X5)
    | X6 != relation_image(X5,X7)
    | X2 != relation_rng(X3)
    | X8 != relation_rng(X4)
    | ~ in(esk1_4(X5,X7,X6,X1),X8)
    | ~ in(X1,X6)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ relation(X4) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_85,plain,
    ( in(esk1_4(X1,X2,X3,X4),X2)
    | X3 != relation_image(X1,X2)
    | ~ relation(X1)
    | ~ in(X4,X3) ),
    i_0_8 ).

cnf(c_0_86,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | ~ relation(X3)
    | ~ in(X5,X4)
    | ~ in(unordered_pair(unordered_pair(X5,X1),singleton(X5)),X3) ),
    i_0_7 ).

cnf(c_0_87,plain,
    ( in(unordered_pair(unordered_pair(esk7_5(X1,X2,X3,X4,X5),X5),singleton(esk7_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_19 ).

cnf(c_0_88,plain,
    ( in(unordered_pair(unordered_pair(X1,esk7_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_20 ).

cnf(c_0_89,plain,
    ( in(X1,X2)
    | X3 != relation_composition(X4,X5)
    | X6 != relation_image(X5,X7)
    | X2 != relation_rng(X3)
    | X7 != relation_rng(X4)
    | ~ in(X1,X6)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ relation(X4) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_90,plain,
    ( relation(relation_composition(X1,X2))
    | ~ relation(X2)
    | ~ relation(X1) ),
    i_0_26 ).

cnf(c_0_91,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X5)),X3)
    | ~ in(X5,X4)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_72]) ).

cnf(c_0_92,plain,
    ( in(unordered_pair(unordered_pair(X1,esk7_5(X2,X3,X4,X5,X1)),singleton(esk7_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_87,c_0_72]) ).

cnf(c_0_93,plain,
    ( in(X1,X2)
    | X2 != relation_rng(X3)
    | ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X1)),X3)
    | ~ relation(X3) ),
    inference(spm,[status(thm)],[c_0_79,c_0_72]) ).

cnf(c_0_94,plain,
    ( in(unordered_pair(singleton(X1),unordered_pair(X1,esk7_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_88,c_0_72]) ).

cnf(c_0_95,plain,
    ( in(X1,X2)
    | X2 != relation_rng(relation_composition(X3,X4))
    | X5 != relation_image(X4,X6)
    | X6 != relation_rng(X3)
    | ~ in(X1,X5)
    | ~ relation(X4)
    | ~ relation(X3) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_89]),c_0_90]) ).

cnf(c_0_96,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | X5 != relation_composition(X6,X3)
    | ~ in(unordered_pair(unordered_pair(X7,X1),singleton(X7)),X5)
    | ~ in(esk7_5(X6,X3,X5,X7,X1),X4)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ relation(X6) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_97,plain,
    ( in(esk7_5(X1,X2,X3,X4,X5),X6)
    | X3 != relation_composition(X1,X2)
    | X6 != relation_rng(X1)
    | ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X3)
    | ~ relation(X1)
    | ~ relation(X3)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_98,plain,
    ( in(X1,relation_rng(relation_composition(X2,X3)))
    | X4 != relation_image(X3,X5)
    | X5 != relation_rng(X2)
    | ~ in(X1,X4)
    | ~ relation(X3)
    | ~ relation(X2) ),
    inference(er,[status(thm)],[c_0_95]) ).

cnf(c_0_99,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | X5 != relation_composition(X6,X3)
    | ~ in(unordered_pair(unordered_pair(X1,X7),singleton(X7)),X5)
    | ~ in(esk7_5(X6,X3,X5,X7,X1),X4)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ relation(X6) ),
    inference(spm,[status(thm)],[c_0_96,c_0_72]) ).

cnf(c_0_100,plain,
    ( in(esk7_5(X1,X2,X3,X4,X5),X6)
    | X3 != relation_composition(X1,X2)
    | X6 != relation_rng(X1)
    | ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X4)),X3)
    | ~ relation(X1)
    | ~ relation(X3)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_72]) ).

cnf(c_0_101,plain,
    ( in(X1,relation_rng(relation_composition(X2,X3)))
    | X4 != relation_rng(X2)
    | ~ in(X1,relation_image(X3,X4))
    | ~ relation(X3)
    | ~ relation(X2) ),
    inference(er,[status(thm)],[c_0_98]) ).

cnf(c_0_102,plain,
    ( X1 = X2
    | in(esk18_2(X1,X2),X2)
    | in(esk18_2(X1,X2),X1) ),
    i_0_54 ).

cnf(c_0_103,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | X5 != relation_composition(X6,X3)
    | X7 != relation_rng(X5)
    | ~ in(esk7_5(X6,X3,X5,esk4_3(X5,X7,X1),X1),X4)
    | ~ in(X1,X7)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ relation(X6) ),
    inference(spm,[status(thm)],[c_0_99,c_0_78]) ).

cnf(c_0_104,plain,
    ( in(esk7_5(X1,X2,X3,esk4_3(X3,X4,X5),X5),X6)
    | X3 != relation_composition(X1,X2)
    | X6 != relation_rng(X1)
    | X4 != relation_rng(X3)
    | ~ in(X5,X4)
    | ~ relation(X1)
    | ~ relation(X3)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_78]) ).

cnf(c_0_105,plain,
    ( X1 = relation_image(X2,X3)
    | in(esk18_2(X1,relation_image(X2,X3)),relation_rng(relation_composition(X4,X2)))
    | in(esk18_2(X1,relation_image(X2,X3)),X1)
    | X3 != relation_rng(X4)
    | ~ relation(X2)
    | ~ relation(X4) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_106,plain,
    ( in(X1,X2)
    | X2 != relation_image(X3,X4)
    | X5 != relation_composition(X6,X3)
    | X7 != relation_rng(X5)
    | X4 != relation_rng(X6)
    | ~ in(X1,X7)
    | ~ relation(X3)
    | ~ relation(X5)
    | ~ relation(X6) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_107,plain,
    ( X1 = relation_image(X2,relation_rng(X3))
    | in(esk18_2(X1,relation_image(X2,relation_rng(X3))),relation_rng(relation_composition(X3,X2)))
    | in(esk18_2(X1,relation_image(X2,relation_rng(X3))),X1)
    | ~ relation(X2)
    | ~ relation(X3) ),
    inference(er,[status(thm)],[c_0_105]) ).

cnf(c_0_108,negated_conjecture,
    relation(esk17_0),
    i_0_50 ).

cnf(c_0_109,plain,
    ( in(X1,relation_image(X2,X3))
    | X4 != relation_composition(X5,X2)
    | X6 != relation_rng(X4)
    | X3 != relation_rng(X5)
    | ~ in(X1,X6)
    | ~ relation(X2)
    | ~ relation(X4)
    | ~ relation(X5) ),
    inference(er,[status(thm)],[c_0_106]) ).

cnf(c_0_110,negated_conjecture,
    ( X1 = relation_image(esk17_0,relation_rng(X2))
    | in(esk18_2(X1,relation_image(esk17_0,relation_rng(X2))),relation_rng(relation_composition(X2,esk17_0)))
    | in(esk18_2(X1,relation_image(esk17_0,relation_rng(X2))),X1)
    | ~ relation(X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_111,negated_conjecture,
    relation(esk16_0),
    i_0_51 ).

cnf(c_0_112,plain,
    ( in(X1,relation_image(X2,X3))
    | X4 != relation_rng(relation_composition(X5,X2))
    | X3 != relation_rng(X5)
    | ~ in(X1,X4)
    | ~ relation(X2)
    | ~ relation(X5) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_109]),c_0_90]) ).

cnf(c_0_113,negated_conjecture,
    ( X1 = relation_image(esk17_0,relation_rng(esk16_0))
    | in(esk18_2(X1,relation_image(esk17_0,relation_rng(esk16_0))),relation_rng(relation_composition(esk16_0,esk17_0)))
    | in(esk18_2(X1,relation_image(esk17_0,relation_rng(esk16_0))),X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_114,negated_conjecture,
    relation_rng(relation_composition(esk16_0,esk17_0)) != relation_image(esk17_0,relation_rng(esk16_0)),
    i_0_49 ).

cnf(c_0_115,plain,
    ( in(X1,relation_image(X2,X3))
    | X3 != relation_rng(X4)
    | ~ in(X1,relation_rng(relation_composition(X4,X2)))
    | ~ relation(X2)
    | ~ relation(X4) ),
    inference(er,[status(thm)],[c_0_112]) ).

cnf(c_0_116,negated_conjecture,
    in(esk18_2(relation_rng(relation_composition(esk16_0,esk17_0)),relation_image(esk17_0,relation_rng(esk16_0))),relation_rng(relation_composition(esk16_0,esk17_0))),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_113]),c_0_114]) ).

cnf(c_0_117,plain,
    ( X1 = X2
    | ~ in(esk18_2(X1,X2),X2)
    | ~ in(esk18_2(X1,X2),X1) ),
    i_0_55 ).

cnf(c_0_118,plain,
    ( in(esk18_2(relation_rng(relation_composition(esk16_0,esk17_0)),relation_image(esk17_0,relation_rng(esk16_0))),relation_image(esk17_0,X1))
    | X1 != relation_rng(esk16_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_108]),c_0_111])]) ).

cnf(c_0_119,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_116])]),c_0_114]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU207+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jun 19 06:12:55 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 18.05/3.61  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 18.05/3.61  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 37; version: 991; iters: 150)
% 18.05/3.61  # Preprocessing time       : 1.135 s
% 18.05/3.61  
% 18.05/3.61  # Proof found!
% 18.05/3.61  # SZS status Theorem
% 18.05/3.61  # SZS output start CNFRefutation
% See solution above
% 18.05/3.61  # Training examples: 0 positive, 0 negative
% 18.05/3.61  
% 18.05/3.61  # -------------------------------------------------
% 18.05/3.61  # User time                : 1.127 s
% 18.05/3.61  # System time              : 0.143 s
% 18.05/3.61  # Total time               : 1.270 s
% 18.05/3.61  # ...preprocessing         : 1.135 s
% 18.05/3.61  # ...main loop             : 0.135 s
% 18.05/3.61  # Maximum resident set size: 177012 pages
% 18.05/3.61  
%------------------------------------------------------------------------------