TSTP Solution File: SET716+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET716+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 00:13:38 EDT 2022
% Result : Theorem 41.72s 6.69s
% Output : CNFRefutation 41.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of clauses : 77 ( 13 unt; 39 nHn; 57 RR)
% Number of literals : 230 ( 23 equ; 116 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-7 aty)
% Number of variables : 263 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_107,plain,
( apply(X1,X2,esk31_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_107) ).
cnf(i_0_133,negated_conjecture,
maps(esk41_0,esk43_0,esk44_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_133) ).
cnf(i_0_3,plain,
( apply(X1,X2,esk1_7(X3,X1,X4,X5,X6,X2,X7))
| ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_3) ).
cnf(i_0_58,plain,
( injective(X1,X2,X3)
| apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_58) ).
cnf(i_0_106,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ member(X4,X5)
| ~ apply(X6,X4,X2)
| ~ apply(X6,X4,X1)
| ~ maps(X6,X5,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_106) ).
cnf(i_0_61,plain,
( injective(X1,X2,X3)
| member(esk21_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_61) ).
cnf(i_0_60,plain,
( injective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_60) ).
cnf(i_0_108,plain,
( member(esk31_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_108) ).
cnf(i_0_4,plain,
( member(esk1_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_4) ).
cnf(i_0_2,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_2) ).
cnf(i_0_59,plain,
( injective(X1,X2,X3)
| apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_59) ).
cnf(i_0_63,plain,
( X1 = X2
| ~ member(X3,X4)
| ~ member(X2,X5)
| ~ member(X1,X5)
| ~ apply(X6,X2,X3)
| ~ apply(X6,X1,X3)
| ~ injective(X6,X5,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_63) ).
cnf(i_0_130,negated_conjecture,
injective(esk42_0,esk44_0,esk45_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_130) ).
cnf(i_0_62,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_62) ).
cnf(i_0_129,negated_conjecture,
~ injective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_129) ).
cnf(i_0_131,negated_conjecture,
injective(esk41_0,esk43_0,esk44_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_131) ).
cnf(i_0_57,plain,
( injective(X1,X2,X3)
| esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1e7xdpt9/input.p',i_0_57) ).
cnf(c_0_151,plain,
( apply(X1,X2,esk31_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
i_0_107 ).
cnf(c_0_152,negated_conjecture,
maps(esk41_0,esk43_0,esk44_0),
i_0_133 ).
cnf(c_0_153,plain,
( apply(X1,X2,esk1_7(X3,X1,X4,X5,X6,X2,X7))
| ~ member(X7,X6)
| ~ member(X2,X4)
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7) ),
i_0_3 ).
cnf(c_0_154,plain,
( injective(X1,X2,X3)
| apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
i_0_58 ).
cnf(c_0_155,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ member(X4,X5)
| ~ apply(X6,X4,X2)
| ~ apply(X6,X4,X1)
| ~ maps(X6,X5,X3) ),
i_0_106 ).
cnf(c_0_156,negated_conjecture,
( apply(esk41_0,X1,esk31_4(esk41_0,esk43_0,esk44_0,X1))
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_157,plain,
( injective(X1,X2,X3)
| member(esk21_3(X1,X2,X3),X2) ),
i_0_61 ).
cnf(c_0_158,plain,
( apply(X1,esk21_3(compose_function(X2,X1,X3,X4,X5),X6,X7),esk1_7(X2,X1,X3,X4,X5,esk21_3(compose_function(X2,X1,X3,X4,X5),X6,X7),esk22_3(compose_function(X2,X1,X3,X4,X5),X6,X7)))
| injective(compose_function(X2,X1,X3,X4,X5),X6,X7)
| ~ member(esk22_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X5)
| ~ member(esk21_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,plain,
( injective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
i_0_60 ).
cnf(c_0_160,negated_conjecture,
( X1 = X2
| ~ apply(esk41_0,X3,X2)
| ~ apply(esk41_0,X3,X1)
| ~ member(X3,esk43_0)
| ~ member(X2,esk44_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_152]) ).
cnf(c_0_161,plain,
( apply(esk41_0,esk21_3(X1,esk43_0,X2),esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X1,esk43_0,X2)))
| injective(X1,esk43_0,X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_162,plain,
( apply(X1,esk21_3(compose_function(X2,X1,X3,X4,X5),X6,X5),esk1_7(X2,X1,X3,X4,X5,esk21_3(compose_function(X2,X1,X3,X4,X5),X6,X5),esk22_3(compose_function(X2,X1,X3,X4,X5),X6,X5)))
| injective(compose_function(X2,X1,X3,X4,X5),X6,X5)
| ~ member(esk21_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( X1 = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X2,esk43_0,X3))
| injective(X2,esk43_0,X3)
| ~ apply(esk41_0,esk21_3(X2,esk43_0,X3),X1)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X2,esk43_0,X3)),esk44_0)
| ~ member(esk21_3(X2,esk43_0,X3),esk43_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_164,plain,
( apply(X1,esk21_3(compose_function(X2,X1,X3,X4,X5),X3,X5),esk1_7(X2,X1,X3,X4,X5,esk21_3(compose_function(X2,X1,X3,X4,X5),X3,X5),esk22_3(compose_function(X2,X1,X3,X4,X5),X3,X5)))
| injective(compose_function(X2,X1,X3,X4,X5),X3,X5) ),
inference(spm,[status(thm)],[c_0_162,c_0_157]) ).
cnf(c_0_165,plain,
( member(esk31_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
i_0_108 ).
cnf(c_0_166,plain,
( member(esk1_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
i_0_4 ).
cnf(c_0_167,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7) ),
i_0_2 ).
cnf(c_0_168,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk43_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_169,negated_conjecture,
( member(esk31_4(esk41_0,esk43_0,esk44_0,X1),esk44_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_152]) ).
cnf(c_0_170,plain,
( member(esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
| injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_166,c_0_154]) ).
cnf(c_0_171,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
| injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_167,c_0_154]) ).
cnf(c_0_172,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0) ),
inference(spm,[status(thm)],[c_0_168,c_0_157]) ).
cnf(c_0_173,plain,
( member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X1,esk43_0,X2)),esk44_0)
| injective(X1,esk43_0,X2) ),
inference(spm,[status(thm)],[c_0_169,c_0_157]) ).
cnf(c_0_174,plain,
( member(esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),X4)
| injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_170,c_0_159]) ).
cnf(c_0_175,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5))
| injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| ~ member(esk21_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_159]) ).
cnf(c_0_176,plain,
( esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3))
| injective(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)
| ~ member(esk1_7(X1,esk41_0,esk43_0,X2,X3,esk21_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3),esk22_3(compose_function(X1,esk41_0,esk43_0,X2,X3),esk43_0,X3)),esk44_0) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_177,plain,
( member(esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),X4)
| injective(compose_function(X1,X2,X3,X4,X5),X3,X5) ),
inference(spm,[status(thm)],[c_0_174,c_0_157]) ).
cnf(c_0_178,plain,
( injective(X1,X2,X3)
| apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
i_0_59 ).
cnf(c_0_179,plain,
( X1 = X2
| ~ member(X3,X4)
| ~ member(X2,X5)
| ~ member(X1,X5)
| ~ apply(X6,X2,X3)
| ~ apply(X6,X1,X3)
| ~ injective(X6,X5,X4) ),
i_0_63 ).
cnf(c_0_180,negated_conjecture,
injective(esk42_0,esk44_0,esk45_0),
i_0_130 ).
cnf(c_0_181,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,esk21_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5))
| injective(compose_function(X1,X2,X3,X4,X5),X3,X5) ),
inference(spm,[status(thm)],[c_0_175,c_0_157]) ).
cnf(c_0_182,plain,
( esk1_7(X1,esk41_0,esk43_0,esk44_0,X2,esk21_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2),esk22_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2))
| injective(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_183,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7))
| injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_167,c_0_178]) ).
cnf(c_0_184,negated_conjecture,
( X1 = X2
| ~ apply(esk42_0,X2,X3)
| ~ apply(esk42_0,X1,X3)
| ~ member(X3,esk45_0)
| ~ member(X2,esk44_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_185,plain,
( apply(X1,esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2)),esk22_3(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2))
| injective(compose_function(X1,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_186,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5))
| injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_183,c_0_159]) ).
cnf(c_0_187,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X2) ),
i_0_62 ).
cnf(c_0_188,negated_conjecture,
( X1 = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2))
| injective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2)
| ~ apply(esk42_0,X1,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2))
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2)),esk44_0)
| ~ member(esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X2),esk43_0,X2),esk45_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_189,plain,
( apply(X1,esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5))
| injective(compose_function(X1,X2,X3,X4,X5),X3,X5) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_190,plain,
( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,X1,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X1),esk43_0,X1),esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X1),esk43_0,X1)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X1),esk43_0,X1))
| injective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X1),esk43_0,X1)
| ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,X1,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X1),esk43_0,X1),esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X1),esk43_0,X1)),esk44_0)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X1),esk43_0,X1)),esk44_0)
| ~ member(esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,X1),esk43_0,X1),esk45_0) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_191,negated_conjecture,
~ injective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
i_0_129 ).
cnf(c_0_192,plain,
( member(esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7)),X4)
| injective(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X5)
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_166,c_0_178]) ).
cnf(c_0_193,plain,
( apply(X1,esk20_3(compose_function(X2,X1,X3,X4,X5),X6,X7),esk1_7(X2,X1,X3,X4,X5,esk20_3(compose_function(X2,X1,X3,X4,X5),X6,X7),esk22_3(compose_function(X2,X1,X3,X4,X5),X6,X7)))
| injective(compose_function(X2,X1,X3,X4,X5),X6,X7)
| ~ member(esk22_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X5)
| ~ member(esk20_3(compose_function(X2,X1,X3,X4,X5),X6,X7),X3) ),
inference(spm,[status(thm)],[c_0_153,c_0_178]) ).
cnf(c_0_194,plain,
( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0))
| ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),esk44_0)
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),esk44_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_159]),c_0_191]) ).
cnf(c_0_195,plain,
( member(esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X6,X5)),X4)
| injective(compose_function(X1,X2,X3,X4,X5),X6,X5)
| ~ member(esk20_3(compose_function(X1,X2,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_192,c_0_159]) ).
cnf(c_0_196,negated_conjecture,
injective(esk41_0,esk43_0,esk44_0),
i_0_131 ).
cnf(c_0_197,plain,
( apply(X1,esk20_3(compose_function(X2,X1,X3,X4,X5),X6,X5),esk1_7(X2,X1,X3,X4,X5,esk20_3(compose_function(X2,X1,X3,X4,X5),X6,X5),esk22_3(compose_function(X2,X1,X3,X4,X5),X6,X5)))
| injective(compose_function(X2,X1,X3,X4,X5),X6,X5)
| ~ member(esk20_3(compose_function(X2,X1,X3,X4,X5),X6,X5),X3) ),
inference(spm,[status(thm)],[c_0_193,c_0_159]) ).
cnf(c_0_198,plain,
( esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0))
| ~ member(esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),esk44_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_173]),c_0_191]) ).
cnf(c_0_199,plain,
( member(esk1_7(X1,X2,X3,X4,X5,esk20_3(compose_function(X1,X2,X3,X4,X5),X3,X5),esk22_3(compose_function(X1,X2,X3,X4,X5),X3,X5)),X4)
| injective(compose_function(X1,X2,X3,X4,X5),X3,X5) ),
inference(spm,[status(thm)],[c_0_195,c_0_187]) ).
cnf(c_0_200,negated_conjecture,
( X1 = X2
| ~ apply(esk41_0,X2,X3)
| ~ apply(esk41_0,X1,X3)
| ~ member(X3,esk44_0)
| ~ member(X2,esk43_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_179,c_0_196]) ).
cnf(c_0_201,plain,
( apply(X1,esk20_3(compose_function(X2,X1,X3,X4,X5),X3,X5),esk1_7(X2,X1,X3,X4,X5,esk20_3(compose_function(X2,X1,X3,X4,X5),X3,X5),esk22_3(compose_function(X2,X1,X3,X4,X5),X3,X5)))
| injective(compose_function(X2,X1,X3,X4,X5),X3,X5) ),
inference(spm,[status(thm)],[c_0_197,c_0_187]) ).
cnf(c_0_202,plain,
esk1_7(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) = esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_191]) ).
cnf(c_0_203,negated_conjecture,
( X1 = esk21_3(X2,esk43_0,X3)
| injective(X2,esk43_0,X3)
| ~ apply(esk41_0,X1,esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X2,esk43_0,X3)))
| ~ member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(X2,esk43_0,X3)),esk44_0)
| ~ member(esk21_3(X2,esk43_0,X3),esk43_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_200,c_0_161]) ).
cnf(c_0_204,plain,
apply(esk41_0,esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_191]) ).
cnf(c_0_205,plain,
member(esk31_4(esk41_0,esk43_0,esk44_0,esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),esk44_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_202]),c_0_191]) ).
cnf(c_0_206,negated_conjecture,
( esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0) = esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)
| ~ member(esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk43_0)
| ~ member(esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk43_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205])]),c_0_191]) ).
cnf(c_0_207,plain,
( esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0) = esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)
| ~ member(esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk43_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_157]),c_0_191]) ).
cnf(c_0_208,plain,
( injective(X1,X2,X3)
| esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
i_0_57 ).
cnf(c_0_209,plain,
esk21_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0) = esk20_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_187]),c_0_191]) ).
cnf(c_0_210,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_191]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET716+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.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 Jul 11 00:49:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 41.72/6.69 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 41.72/6.69 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 41.72/6.69 # Preprocessing time : 0.889 s
% 41.72/6.69 # Presaturation interreduction done
% 41.72/6.69
% 41.72/6.69 # Proof found!
% 41.72/6.69 # SZS status Theorem
% 41.72/6.69 # SZS output start CNFRefutation
% See solution above
% 41.72/6.69 # Training examples: 0 positive, 0 negative
% 41.72/6.69
% 41.72/6.69 # -------------------------------------------------
% 41.72/6.69 # User time : 3.956 s
% 41.72/6.69 # System time : 0.154 s
% 41.72/6.69 # Total time : 4.110 s
% 41.72/6.69 # ...preprocessing : 0.889 s
% 41.72/6.69 # ...main loop : 3.222 s
% 41.72/6.69 # Maximum resident set size: 168340 pages
% 41.72/6.69
%------------------------------------------------------------------------------