TSTP Solution File: SEU060+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU060+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 08:38:15 EDT 2022
% Result : Theorem 28.38s 4.96s
% Output : CNFRefutation 28.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 87 ( 16 unt; 8 nHn; 59 RR)
% Number of literals : 275 ( 55 equ; 182 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 296 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_dom_restriction(X4,X5)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(X1,X5)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_15) ).
cnf(i_0_7,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_7) ).
cnf(i_0_23,plain,
( in(unordered_pair(unordered_pair(X1,esk3_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_23) ).
cnf(i_0_30,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_30) ).
cnf(i_0_24,plain,
( subset(X1,X2)
| ~ in(esk6_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_24) ).
cnf(i_0_31,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_31) ).
cnf(i_0_21,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_21) ).
cnf(i_0_34,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_34) ).
cnf(i_0_25,plain,
( subset(X1,X2)
| in(esk6_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_25) ).
cnf(i_0_17,plain,
( in(X1,X2)
| X3 != relation_dom_restriction(X4,X2)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_17) ).
cnf(i_0_32,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_32) ).
cnf(i_0_26,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_26) ).
cnf(i_0_84,plain,
( subset(relation_dom_restriction(X1,X2),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_84) ).
cnf(i_0_22,plain,
( in(esk3_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_22) ).
cnf(i_0_9,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_9) ).
cnf(i_0_8,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_8) ).
cnf(i_0_73,negated_conjecture,
relation_inverse_image(relation_dom_restriction(esk21_0,esk19_0),esk20_0) != set_intersection2(esk19_0,relation_inverse_image(esk21_0,esk20_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_73) ).
cnf(i_0_74,negated_conjecture,
relation(esk21_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-owc40wra/input.p',i_0_74) ).
cnf(c_0_103,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| X3 != relation_dom_restriction(X4,X5)
| ~ relation(X3)
| ~ relation(X4)
| ~ in(X1,X5)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X4) ),
i_0_15 ).
cnf(c_0_104,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_7 ).
cnf(c_0_105,plain,
( in(unordered_pair(unordered_pair(X1,esk3_4(X2,X3,X4,X1)),singleton(X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
i_0_23 ).
cnf(c_0_106,plain,
( in(X1,X2)
| X2 != set_intersection2(X3,X4)
| ~ in(X1,X4)
| ~ in(X1,X3) ),
i_0_30 ).
cnf(c_0_107,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| X3 != relation_dom_restriction(X4,X5)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X4)
| ~ in(X1,X5)
| ~ relation(X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_4(X2,X3,X4,X1))),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ in(X1,X4)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_105,c_0_104]) ).
cnf(c_0_109,plain,
( subset(X1,X2)
| ~ in(esk6_2(X1,X2),X2) ),
i_0_24 ).
cnf(c_0_110,plain,
( in(X1,set_intersection2(X2,X3))
| ~ in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_106]) ).
cnf(c_0_111,plain,
( in(X1,X2)
| X3 != set_intersection2(X4,X2)
| ~ in(X1,X3) ),
i_0_31 ).
cnf(c_0_112,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
i_0_21 ).
cnf(c_0_113,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_4(X2,X3,X4,X1))),X5)
| X5 != relation_dom_restriction(X2,X6)
| X4 != relation_inverse_image(X2,X3)
| ~ in(X1,X6)
| ~ in(X1,X4)
| ~ relation(X2)
| ~ relation(X5) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
i_0_34 ).
cnf(c_0_115,plain,
( subset(X1,set_intersection2(X2,X3))
| ~ in(esk6_2(X1,set_intersection2(X2,X3)),X3)
| ~ in(esk6_2(X1,set_intersection2(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,plain,
( subset(X1,X2)
| in(esk6_2(X1,X2),X1) ),
i_0_25 ).
cnf(c_0_117,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X3,X2)) ),
inference(er,[status(thm)],[c_0_111]) ).
cnf(c_0_118,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3)
| ~ in(X5,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_112,c_0_104]) ).
cnf(c_0_119,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_4(X2,X3,X4,X1))),relation_dom_restriction(X2,X5))
| X4 != relation_inverse_image(X2,X3)
| ~ in(X1,X5)
| ~ in(X1,X4)
| ~ relation(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_113]),c_0_114]) ).
cnf(c_0_120,plain,
( in(X1,X2)
| X3 != relation_dom_restriction(X4,X2)
| ~ relation(X4)
| ~ relation(X3)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),X3) ),
i_0_17 ).
cnf(c_0_121,plain,
( in(X1,X2)
| X3 != set_intersection2(X2,X4)
| ~ in(X1,X3) ),
i_0_32 ).
cnf(c_0_122,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_26 ).
cnf(c_0_123,plain,
( subset(relation_dom_restriction(X1,X2),X1)
| ~ relation(X1) ),
i_0_84 ).
cnf(c_0_124,plain,
( subset(X1,set_intersection2(X2,X1))
| ~ in(esk6_2(X1,set_intersection2(X2,X1)),X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_125,plain,
( in(esk6_2(set_intersection2(X1,X2),X3),X2)
| subset(set_intersection2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_117,c_0_116]) ).
cnf(c_0_126,plain,
( in(X1,X2)
| X2 != relation_inverse_image(relation_dom_restriction(X3,X4),X5)
| X6 != relation_inverse_image(X3,X7)
| ~ in(esk3_4(X3,X7,X6,X1),X5)
| ~ in(X1,X4)
| ~ in(X1,X6)
| ~ relation(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_114]) ).
cnf(c_0_127,plain,
( in(esk3_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_22 ).
cnf(c_0_128,plain,
( in(X1,X2)
| X3 != relation_dom_restriction(X4,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X5)),X3)
| ~ relation(X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_120,c_0_104]) ).
cnf(c_0_129,plain,
( in(X1,X2)
| ~ in(X1,set_intersection2(X2,X3)) ),
inference(er,[status(thm)],[c_0_121]) ).
cnf(c_0_130,plain,
( subset(X1,set_intersection2(X2,set_intersection2(X3,X4)))
| ~ in(esk6_2(X1,set_intersection2(X2,set_intersection2(X3,X4))),X2)
| ~ in(esk6_2(X1,set_intersection2(X2,set_intersection2(X3,X4))),X4)
| ~ in(esk6_2(X1,set_intersection2(X2,set_intersection2(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_110]) ).
cnf(c_0_131,plain,
( in(X1,X2)
| ~ in(X1,relation_dom_restriction(X2,X3))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_132,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_9 ).
cnf(c_0_133,plain,
subset(set_intersection2(X1,X2),set_intersection2(X2,set_intersection2(X1,X2))),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,plain,
subset(set_intersection2(X1,X2),X2),
inference(spm,[status(thm)],[c_0_109,c_0_125]) ).
cnf(c_0_135,plain,
( in(X1,X2)
| X2 != relation_inverse_image(relation_dom_restriction(X3,X4),X5)
| X6 != relation_inverse_image(X3,X5)
| ~ in(X1,X4)
| ~ in(X1,X6)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,plain,
( in(X1,X2)
| X3 != relation_dom_restriction(X4,X2)
| X5 != relation_inverse_image(X3,X6)
| ~ in(X1,X5)
| ~ relation(X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_108]) ).
cnf(c_0_137,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk3_4(set_intersection2(X2,X3),X4,X5,X1))),X2)
| X5 != relation_inverse_image(set_intersection2(X2,X3),X4)
| ~ in(X1,X5)
| ~ relation(set_intersection2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_129,c_0_108]) ).
cnf(c_0_138,plain,
( subset(set_intersection2(X1,X2),set_intersection2(X2,set_intersection2(X3,X4)))
| ~ in(esk6_2(set_intersection2(X1,X2),set_intersection2(X2,set_intersection2(X3,X4))),X4)
| ~ in(esk6_2(set_intersection2(X1,X2),set_intersection2(X2,set_intersection2(X3,X4))),X3) ),
inference(spm,[status(thm)],[c_0_130,c_0_125]) ).
cnf(c_0_139,plain,
( in(esk6_2(set_intersection2(X1,relation_dom_restriction(X2,X3)),X4),X2)
| subset(set_intersection2(X1,relation_dom_restriction(X2,X3)),X4)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_131,c_0_125]) ).
cnf(c_0_140,plain,
set_intersection2(X1,set_intersection2(X2,X1)) = set_intersection2(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]) ).
cnf(c_0_141,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
i_0_8 ).
cnf(c_0_142,plain,
( in(X1,relation_inverse_image(relation_dom_restriction(X2,X3),X4))
| X5 != relation_inverse_image(X2,X4)
| ~ in(X1,X3)
| ~ in(X1,X5)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_135]) ).
cnf(c_0_143,plain,
( in(X1,X2)
| X3 != relation_inverse_image(relation_dom_restriction(X4,X2),X5)
| ~ in(X1,X3)
| ~ relation(X4) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_136]),c_0_114]) ).
cnf(c_0_144,plain,
( in(X1,X2)
| X3 != relation_inverse_image(set_intersection2(X4,X5),X6)
| X2 != relation_inverse_image(X4,X7)
| ~ in(esk3_4(set_intersection2(X4,X5),X6,X3,X1),X7)
| ~ in(X1,X3)
| ~ relation(set_intersection2(X4,X5))
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_118,c_0_137]) ).
cnf(c_0_145,plain,
( subset(set_intersection2(X1,relation_dom_restriction(X2,X3)),set_intersection2(relation_dom_restriction(X2,X3),set_intersection2(X4,X2)))
| ~ in(esk6_2(set_intersection2(X1,relation_dom_restriction(X2,X3)),set_intersection2(relation_dom_restriction(X2,X3),set_intersection2(X4,X2))),X4)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_146,plain,
set_intersection2(X1,set_intersection2(X1,X2)) = set_intersection2(X1,X2),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_147,plain,
( in(esk6_2(set_intersection2(X1,X2),X3),X1)
| subset(set_intersection2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_129,c_0_116]) ).
cnf(c_0_148,plain,
( in(X1,relation_inverse_image(relation_dom_restriction(X2,X3),X4))
| ~ in(X1,relation_inverse_image(X2,X4))
| ~ in(X1,X3)
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_142]) ).
cnf(c_0_149,plain,
( in(X1,X2)
| ~ in(X1,relation_inverse_image(relation_dom_restriction(X3,X2),X4))
| ~ relation(X3) ),
inference(er,[status(thm)],[c_0_143]) ).
cnf(c_0_150,plain,
( in(X1,X2)
| X3 != relation_inverse_image(set_intersection2(X4,X5),X6)
| X2 != relation_inverse_image(X4,X6)
| ~ in(X1,X3)
| ~ relation(set_intersection2(X4,X5))
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_144,c_0_127]) ).
cnf(c_0_151,plain,
( subset(set_intersection2(X1,relation_dom_restriction(X2,X3)),set_intersection2(X2,relation_dom_restriction(X2,X3)))
| ~ relation(X2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_141]),c_0_141]),c_0_125]) ).
cnf(c_0_152,plain,
subset(X1,set_intersection2(X1,X1)),
inference(spm,[status(thm)],[c_0_124,c_0_116]) ).
cnf(c_0_153,plain,
subset(set_intersection2(X1,X2),X1),
inference(spm,[status(thm)],[c_0_109,c_0_147]) ).
cnf(c_0_154,plain,
( subset(X1,relation_inverse_image(relation_dom_restriction(X2,X3),X4))
| ~ in(esk6_2(X1,relation_inverse_image(relation_dom_restriction(X2,X3),X4)),relation_inverse_image(X2,X4))
| ~ in(esk6_2(X1,relation_inverse_image(relation_dom_restriction(X2,X3),X4)),X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_148]) ).
cnf(c_0_155,plain,
( in(esk6_2(relation_inverse_image(relation_dom_restriction(X1,X2),X3),X4),X2)
| subset(relation_inverse_image(relation_dom_restriction(X1,X2),X3),X4)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_116]) ).
cnf(c_0_156,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ in(X1,relation_inverse_image(set_intersection2(X3,X5),X4))
| ~ relation(set_intersection2(X3,X5))
| ~ relation(X3) ),
inference(er,[status(thm)],[c_0_150]) ).
cnf(c_0_157,plain,
( set_intersection2(X1,relation_dom_restriction(X1,X2)) = set_intersection2(X3,relation_dom_restriction(X1,X2))
| ~ subset(set_intersection2(X1,relation_dom_restriction(X1,X2)),set_intersection2(X3,relation_dom_restriction(X1,X2)))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_151]) ).
cnf(c_0_158,plain,
set_intersection2(X1,X1) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_152]),c_0_153])]) ).
cnf(c_0_159,plain,
( subset(set_intersection2(X1,relation_inverse_image(X2,X3)),relation_inverse_image(relation_dom_restriction(X2,X4),X3))
| ~ in(esk6_2(set_intersection2(X1,relation_inverse_image(X2,X3)),relation_inverse_image(relation_dom_restriction(X2,X4),X3)),X4)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_125]) ).
cnf(c_0_160,plain,
( subset(relation_inverse_image(relation_dom_restriction(X1,X2),X3),set_intersection2(X4,X2))
| ~ in(esk6_2(relation_inverse_image(relation_dom_restriction(X1,X2),X3),set_intersection2(X4,X2)),X4)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_155]) ).
cnf(c_0_161,plain,
( in(esk6_2(relation_inverse_image(set_intersection2(X1,X2),X3),X4),X5)
| subset(relation_inverse_image(set_intersection2(X1,X2),X3),X4)
| X5 != relation_inverse_image(X1,X3)
| ~ relation(set_intersection2(X1,X2))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_116]) ).
cnf(c_0_162,plain,
( set_intersection2(X1,relation_dom_restriction(X1,X2)) = relation_dom_restriction(X1,X2)
| ~ relation(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_134])]) ).
cnf(c_0_163,plain,
( subset(set_intersection2(X1,relation_inverse_image(X2,X3)),relation_inverse_image(relation_dom_restriction(X2,X1),X3))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_147]) ).
cnf(c_0_164,plain,
( subset(relation_inverse_image(relation_dom_restriction(X1,X2),X3),set_intersection2(X2,X4))
| ~ in(esk6_2(relation_inverse_image(relation_dom_restriction(X1,X2),X3),set_intersection2(X2,X4)),X4)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_141]) ).
cnf(c_0_165,plain,
( in(esk6_2(relation_inverse_image(relation_dom_restriction(X1,X2),X3),X4),X5)
| subset(relation_inverse_image(relation_dom_restriction(X1,X2),X3),X4)
| X5 != relation_inverse_image(X1,X3)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_114]) ).
cnf(c_0_166,plain,
( set_intersection2(X1,relation_inverse_image(X2,X3)) = relation_inverse_image(relation_dom_restriction(X2,X1),X3)
| ~ subset(relation_inverse_image(relation_dom_restriction(X2,X1),X3),set_intersection2(X1,relation_inverse_image(X2,X3)))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_163]) ).
cnf(c_0_167,plain,
( subset(relation_inverse_image(relation_dom_restriction(X1,X2),X3),set_intersection2(X2,X4))
| X4 != relation_inverse_image(X1,X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
relation_inverse_image(relation_dom_restriction(esk21_0,esk19_0),esk20_0) != set_intersection2(esk19_0,relation_inverse_image(esk21_0,esk20_0)),
i_0_73 ).
cnf(c_0_169,plain,
( set_intersection2(X1,relation_inverse_image(X2,X3)) = relation_inverse_image(relation_dom_restriction(X2,X1),X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_170,negated_conjecture,
relation(esk21_0),
i_0_74 ).
cnf(c_0_171,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU060+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.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 00:13:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 28.38/4.96 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 28.38/4.96 # 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: 31; version: 991; iters: 150)
% 28.38/4.96 # Preprocessing time : 1.093 s
% 28.38/4.96
% 28.38/4.96 # Proof found!
% 28.38/4.96 # SZS status Theorem
% 28.38/4.96 # SZS output start CNFRefutation
% See solution above
% 28.38/4.96 # Training examples: 0 positive, 0 negative
% 28.38/4.96
% 28.38/4.96 # -------------------------------------------------
% 28.38/4.96 # User time : 2.361 s
% 28.38/4.96 # System time : 0.134 s
% 28.38/4.96 # Total time : 2.495 s
% 28.38/4.96 # ...preprocessing : 1.093 s
% 28.38/4.96 # ...main loop : 1.403 s
% 28.38/4.96 # Maximum resident set size: 173424 pages
% 28.38/4.96
%------------------------------------------------------------------------------