%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET998+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 00:15:47 EDT 2022
% Result : Theorem 16.01s 3.51s
% Output : CNFRefutation 16.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of clauses : 83 ( 25 unt; 21 nHn; 81 RR)
% Number of literals : 253 ( 58 equ; 145 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 113 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
( X1 = relation_composition(X2,X3)
| in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X1)
| in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),esk7_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X2)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_15) ).
cnf(i_0_4,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_4) ).
cnf(i_0_65,negated_conjecture,
relation(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_65) ).
cnf(i_0_67,negated_conjecture,
relation(esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_67) ).
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-332wr1wu/lgb.p',i_0_11) ).
cnf(i_0_63,negated_conjecture,
relation(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_63) ).
cnf(i_0_57,negated_conjecture,
relation_composition(esk17_0,esk18_0) != esk19_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_57) ).
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-332wr1wu/lgb.p',i_0_7) ).
cnf(i_0_12,plain,
( in(unordered_pair(unordered_pair(X1,esk1_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_12) ).
cnf(i_0_61,negated_conjecture,
( in(X1,relation_dom(esk17_0))
| ~ in(X1,relation_dom(esk19_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_61) ).
cnf(i_0_16,plain,
( X1 = relation_composition(X2,X3)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X4,esk6_3(X2,X3,X1)),singleton(X4)),X3)
| ~ in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),X4),singleton(esk5_3(X2,X3,X1))),X2)
| ~ in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_16) ).
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-332wr1wu/lgb.p',i_0_8) ).
cnf(i_0_66,negated_conjecture,
function(esk17_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_66) ).
cnf(i_0_14,plain,
( X1 = relation_composition(X2,X3)
| in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X1)
| in(unordered_pair(unordered_pair(esk7_3(X2,X3,X1),esk6_3(X2,X3,X1)),singleton(esk7_3(X2,X3,X1))),X3)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_14) ).
cnf(i_0_62,negated_conjecture,
function(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_62) ).
cnf(i_0_64,negated_conjecture,
function(esk18_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_64) ).
cnf(i_0_60,negated_conjecture,
( in(apply(esk17_0,X1),relation_dom(esk18_0))
| ~ in(X1,relation_dom(esk19_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_60) ).
cnf(i_0_58,negated_conjecture,
( apply(esk18_0,apply(esk17_0,X1)) = apply(esk19_0,X1)
| ~ in(X1,relation_dom(esk19_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_58) ).
cnf(i_0_59,negated_conjecture,
( in(X1,relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk17_0))
| ~ in(apply(esk17_0,X1),relation_dom(esk18_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-332wr1wu/lgb.p',i_0_59) ).
cnf(c_0_87,plain,
( X1 = relation_composition(X2,X3)
| in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X1)
| in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),esk7_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X2)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2) ),
i_0_15 ).
cnf(c_0_88,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_4 ).
cnf(c_0_89,plain,
( X1 = relation_composition(X2,X3)
| in(unordered_pair(singleton(esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk7_3(X2,X3,X1))),X2)
| in(unordered_pair(singleton(esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1))),X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88]),c_0_88]) ).
cnf(c_0_90,negated_conjecture,
relation(esk18_0),
i_0_65 ).
cnf(c_0_91,negated_conjecture,
( X1 = relation_composition(X2,esk18_0)
| in(unordered_pair(singleton(esk5_3(X2,esk18_0,X1)),unordered_pair(esk5_3(X2,esk18_0,X1),esk7_3(X2,esk18_0,X1))),X2)
| in(unordered_pair(singleton(esk5_3(X2,esk18_0,X1)),unordered_pair(esk5_3(X2,esk18_0,X1),esk6_3(X2,esk18_0,X1))),X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_92,negated_conjecture,
relation(esk17_0),
i_0_67 ).
cnf(c_0_93,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_94,negated_conjecture,
( X1 = relation_composition(esk17_0,esk18_0)
| in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,X1)),unordered_pair(esk5_3(esk17_0,esk18_0,X1),esk7_3(esk17_0,esk18_0,X1))),esk17_0)
| in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,X1)),unordered_pair(esk5_3(esk17_0,esk18_0,X1),esk6_3(esk17_0,esk18_0,X1))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
relation(esk19_0),
i_0_63 ).
cnf(c_0_96,negated_conjecture,
relation_composition(esk17_0,esk18_0) != esk19_0,
i_0_57 ).
cnf(c_0_97,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X4)),X3) ),
inference(rw,[status(thm)],[c_0_93,c_0_88]) ).
cnf(c_0_98,negated_conjecture,
( in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk6_3(esk17_0,esk18_0,esk19_0))),esk19_0)
| in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk7_3(esk17_0,esk18_0,esk19_0))),esk17_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_99,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_100,plain,
( in(unordered_pair(unordered_pair(X1,esk1_3(X2,X3,X1)),singleton(X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_12 ).
cnf(c_0_101,plain,
( in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk6_3(esk17_0,esk18_0,esk19_0))),esk19_0)
| in(esk5_3(esk17_0,esk18_0,esk19_0),X1)
| X1 != relation_dom(esk17_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_92])]) ).
cnf(c_0_102,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),X2)
| ~ in(X3,relation_dom(X2)) ),
inference(rw,[status(thm)],[c_0_99,c_0_88]) ).
cnf(c_0_103,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[c_0_100,c_0_88]) ).
cnf(c_0_104,plain,
( in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk6_3(esk17_0,esk18_0,esk19_0))),esk19_0)
| in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk17_0)) ),
inference(er,[status(thm)],[c_0_101]) ).
cnf(c_0_105,plain,
( esk1_3(X1,X2,X3) = apply(X1,X3)
| X2 != relation_dom(X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X3,relation_dom(X1))
| ~ in(X3,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,plain,
( in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk17_0))
| in(esk5_3(esk17_0,esk18_0,esk19_0),X1)
| X1 != relation_dom(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_104]),c_0_95])]) ).
cnf(c_0_107,negated_conjecture,
( in(X1,relation_dom(esk17_0))
| ~ in(X1,relation_dom(esk19_0)) ),
i_0_61 ).
cnf(c_0_108,plain,
( X1 = relation_composition(X2,X3)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X4,esk6_3(X2,X3,X1)),singleton(X4)),X3)
| ~ in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),X4),singleton(esk5_3(X2,X3,X1))),X2)
| ~ in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X1) ),
i_0_16 ).
cnf(c_0_109,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_110,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,apply(X2,X1))),X2)
| X3 != relation_dom(X2)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X1,relation_dom(X2))
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_103,c_0_105]) ).
cnf(c_0_111,plain,
in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk17_0)),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_106]),c_0_107]) ).
cnf(c_0_112,negated_conjecture,
function(esk17_0),
i_0_66 ).
cnf(c_0_113,plain,
( X1 = relation_composition(X2,X3)
| in(unordered_pair(unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1)),singleton(esk5_3(X2,X3,X1))),X1)
| in(unordered_pair(unordered_pair(esk7_3(X2,X3,X1),esk6_3(X2,X3,X1)),singleton(esk7_3(X2,X3,X1))),X3)
| ~ relation(X1)
| ~ relation(X3)
| ~ relation(X2) ),
i_0_14 ).
cnf(c_0_114,plain,
( X1 = relation_composition(X2,X3)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1))),X1)
| ~ in(unordered_pair(singleton(esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),X4)),X2)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,esk6_3(X2,X3,X1))),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_88]),c_0_88]),c_0_88]) ).
cnf(c_0_115,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| X2 != apply(X3,X1)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3)) ),
inference(rw,[status(thm)],[c_0_109,c_0_88]) ).
cnf(c_0_116,plain,
( in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0)))),esk17_0)
| X1 != relation_dom(esk17_0)
| ~ in(esk5_3(esk17_0,esk18_0,esk19_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_92])]) ).
cnf(c_0_117,plain,
( X1 = relation_composition(X2,X3)
| in(unordered_pair(singleton(esk7_3(X2,X3,X1)),unordered_pair(esk6_3(X2,X3,X1),esk7_3(X2,X3,X1))),X3)
| in(unordered_pair(singleton(esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),esk6_3(X2,X3,X1))),X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_88]),c_0_88]),c_0_88]) ).
cnf(c_0_118,plain,
( X1 = relation_composition(X2,X3)
| apply(X1,esk5_3(X2,X3,X1)) != esk6_3(X2,X3,X1)
| ~ function(X1)
| ~ relation(X3)
| ~ relation(X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk5_3(X2,X3,X1)),unordered_pair(esk5_3(X2,X3,X1),X4)),X2)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,esk6_3(X2,X3,X1))),X3)
| ~ in(esk5_3(X2,X3,X1),relation_dom(X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,plain,
in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0)))),esk17_0),
inference(spm,[status(thm)],[c_0_116,c_0_111]) ).
cnf(c_0_120,negated_conjecture,
function(esk19_0),
i_0_62 ).
cnf(c_0_121,negated_conjecture,
( X1 = relation_composition(X2,esk18_0)
| in(unordered_pair(singleton(esk7_3(X2,esk18_0,X1)),unordered_pair(esk6_3(X2,esk18_0,X1),esk7_3(X2,esk18_0,X1))),esk18_0)
| in(unordered_pair(singleton(esk5_3(X2,esk18_0,X1)),unordered_pair(esk5_3(X2,esk18_0,X1),esk6_3(X2,esk18_0,X1))),X1)
| ~ relation(X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_90]) ).
cnf(c_0_122,plain,
( apply(esk19_0,esk5_3(esk17_0,esk18_0,esk19_0)) != esk6_3(esk17_0,esk18_0,esk19_0)
| ~ in(unordered_pair(singleton(apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0))),unordered_pair(esk6_3(esk17_0,esk18_0,esk19_0),apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0)))),esk18_0)
| ~ in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk19_0)) ),
inference(rw,[status(thm)],[inference(sr,[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_118,c_0_119]),c_0_120]),c_0_90]),c_0_92]),c_0_95])]),c_0_96]),c_0_88]) ).
cnf(c_0_123,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X2,X1)),X3)
| X2 != apply(X3,X1)
| ~ function(X3)
| ~ relation(X3)
| ~ in(X1,relation_dom(X3)) ),
inference(spm,[status(thm)],[c_0_115,c_0_88]) ).
cnf(c_0_124,negated_conjecture,
function(esk18_0),
i_0_64 ).
cnf(c_0_125,negated_conjecture,
( in(apply(esk17_0,X1),relation_dom(esk18_0))
| ~ in(X1,relation_dom(esk19_0)) ),
i_0_60 ).
cnf(c_0_126,plain,
( apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0)) = esk7_3(esk17_0,esk18_0,esk19_0)
| in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk6_3(esk17_0,esk18_0,esk19_0))),esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_98]),c_0_112]),c_0_92])]),c_0_111])]) ).
cnf(c_0_127,negated_conjecture,
( X1 = relation_composition(esk17_0,esk18_0)
| in(unordered_pair(singleton(esk7_3(esk17_0,esk18_0,X1)),unordered_pair(esk6_3(esk17_0,esk18_0,X1),esk7_3(esk17_0,esk18_0,X1))),esk18_0)
| in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,X1)),unordered_pair(esk5_3(esk17_0,esk18_0,X1),esk6_3(esk17_0,esk18_0,X1))),X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_92]) ).
cnf(c_0_128,plain,
( apply(esk18_0,apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0))) != esk6_3(esk17_0,esk18_0,esk19_0)
| apply(esk19_0,esk5_3(esk17_0,esk18_0,esk19_0)) != esk6_3(esk17_0,esk18_0,esk19_0)
| ~ in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk19_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_90])]),c_0_125]) ).
cnf(c_0_129,negated_conjecture,
( apply(esk18_0,apply(esk17_0,X1)) = apply(esk19_0,X1)
| ~ in(X1,relation_dom(esk19_0)) ),
i_0_58 ).
cnf(c_0_130,plain,
( apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0)) = esk7_3(esk17_0,esk18_0,esk19_0)
| in(esk5_3(esk17_0,esk18_0,esk19_0),X1)
| X1 != relation_dom(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_126]),c_0_95])]) ).
cnf(c_0_131,plain,
( in(X1,X2)
| X2 != relation_dom(X3)
| ~ relation(X3)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X4,X1)),X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_88]) ).
cnf(c_0_132,negated_conjecture,
( in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk6_3(esk17_0,esk18_0,esk19_0))),esk19_0)
| in(unordered_pair(singleton(esk7_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk6_3(esk17_0,esk18_0,esk19_0),esk7_3(esk17_0,esk18_0,esk19_0))),esk18_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_95]),c_0_96]) ).
cnf(c_0_133,negated_conjecture,
( apply(esk19_0,esk5_3(esk17_0,esk18_0,esk19_0)) != esk6_3(esk17_0,esk18_0,esk19_0)
| ~ in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk19_0)) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,plain,
( apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0)) = esk7_3(esk17_0,esk18_0,esk19_0)
| in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk19_0)) ),
inference(er,[status(thm)],[c_0_130]) ).
cnf(c_0_135,plain,
( in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk6_3(esk17_0,esk18_0,esk19_0))),esk19_0)
| in(esk7_3(esk17_0,esk18_0,esk19_0),X1)
| X1 != relation_dom(esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_90])]) ).
cnf(c_0_136,negated_conjecture,
( apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0)) = esk7_3(esk17_0,esk18_0,esk19_0)
| apply(esk19_0,esk5_3(esk17_0,esk18_0,esk19_0)) != esk6_3(esk17_0,esk18_0,esk19_0) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,plain,
( in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk6_3(esk17_0,esk18_0,esk19_0))),esk19_0)
| in(esk7_3(esk17_0,esk18_0,esk19_0),relation_dom(esk18_0)) ),
inference(er,[status(thm)],[c_0_135]) ).
cnf(c_0_138,plain,
apply(esk17_0,esk5_3(esk17_0,esk18_0,esk19_0)) = esk7_3(esk17_0,esk18_0,esk19_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_126]),c_0_120]),c_0_95])]),c_0_134]),c_0_136]) ).
cnf(c_0_139,negated_conjecture,
( in(X1,relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk17_0))
| ~ in(apply(esk17_0,X1),relation_dom(esk18_0)) ),
i_0_59 ).
cnf(c_0_140,plain,
( in(esk7_3(esk17_0,esk18_0,esk19_0),relation_dom(esk18_0))
| in(esk5_3(esk17_0,esk18_0,esk19_0),X1)
| X1 != relation_dom(esk19_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_137]),c_0_95])]) ).
cnf(c_0_141,negated_conjecture,
( in(esk7_3(esk17_0,esk18_0,esk19_0),relation_dom(esk18_0))
| ~ in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk19_0)) ),
inference(spm,[status(thm)],[c_0_125,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
( in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk19_0))
| ~ in(esk7_3(esk17_0,esk18_0,esk19_0),relation_dom(esk18_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_138]),c_0_111])]) ).
cnf(c_0_143,plain,
in(esk7_3(esk17_0,esk18_0,esk19_0),relation_dom(esk18_0)),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_140]),c_0_141]) ).
cnf(c_0_144,negated_conjecture,
( apply(esk18_0,esk7_3(esk17_0,esk18_0,esk19_0)) = apply(esk19_0,esk5_3(esk17_0,esk18_0,esk19_0))
| ~ in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk19_0)) ),
inference(spm,[status(thm)],[c_0_129,c_0_138]) ).
cnf(c_0_145,negated_conjecture,
in(esk5_3(esk17_0,esk18_0,esk19_0),relation_dom(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]) ).
cnf(c_0_146,plain,
( X1 = apply(X2,X3)
| ~ function(X2)
| ~ relation(X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X1,X3)),X2)
| ~ in(X3,relation_dom(X2)) ),
inference(spm,[status(thm)],[c_0_102,c_0_88]) ).
cnf(c_0_147,negated_conjecture,
apply(esk18_0,esk7_3(esk17_0,esk18_0,esk19_0)) = apply(esk19_0,esk5_3(esk17_0,esk18_0,esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145])]) ).
cnf(c_0_148,negated_conjecture,
apply(esk19_0,esk5_3(esk17_0,esk18_0,esk19_0)) != esk6_3(esk17_0,esk18_0,esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_145])]) ).
cnf(c_0_149,plain,
in(unordered_pair(singleton(esk5_3(esk17_0,esk18_0,esk19_0)),unordered_pair(esk5_3(esk17_0,esk18_0,esk19_0),esk6_3(esk17_0,esk18_0,esk19_0))),esk19_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_132]),c_0_124]),c_0_90])]),c_0_147]),c_0_143])]),c_0_148]) ).
cnf(c_0_150,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_149]),c_0_120]),c_0_95]),c_0_145])]),c_0_148]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET998+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 07:47:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 16.01/3.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 16.01/3.51 # No SInE strategy applied
% 16.01/3.51 # Trying AutoSched0 for 150 seconds
% 16.01/3.51 # AutoSched0-Mode selected heuristic H_____011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 16.01/3.51 # and selection function PSelectComplexExceptRRHorn.
% 16.01/3.51 #
% 16.01/3.51 # Preprocessing time : 0.024 s
% 16.01/3.51 # Presaturation interreduction done
% 16.01/3.51
% 16.01/3.51 # Proof found!
% 16.01/3.51 # SZS status Theorem
% 16.01/3.51 # SZS output start CNFRefutation
% See solution above
% 16.01/3.51 # Training examples: 0 positive, 0 negative
% 16.01/3.51
% 16.01/3.51 # -------------------------------------------------
% 16.01/3.51 # User time : 1.068 s
% 16.01/3.51 # System time : 0.021 s
% 16.01/3.51 # Total time : 1.089 s
% 16.01/3.51 # Maximum resident set size: 7124 pages
% 16.01/3.51
%------------------------------------------------------------------------------