TSTP Solution File: SEU157+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU157+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 08:38:58 EDT 2022
% Result : Theorem 21.96s 4.11s
% Output : CNFRefutation 21.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 54 ( 10 unt; 15 nHn; 49 RR)
% Number of literals : 124 ( 59 equ; 60 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 119 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_117,lemma,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)) != unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_117) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_3) ).
cnf(i_0_36,plain,
( unordered_pair(unordered_pair(esk6_4(X1,X2,X3,X4),esk7_4(X1,X2,X3,X4)),unordered_pair(esk6_4(X1,X2,X3,X4),esk6_4(X1,X2,X3,X4))) = X4
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_36) ).
cnf(i_0_35,plain,
( in(X1,X2)
| X2 != cartesian_product2(X3,X4)
| X1 != unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))
| ~ in(X6,X4)
| ~ in(X5,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_35) ).
cnf(i_0_37,plain,
( in(esk7_4(X1,X2,X3,X4),X2)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_37) ).
cnf(i_0_103,lemma,
( X1 = X2
| X1 = X3
| unordered_pair(X1,X4) != unordered_pair(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_103) ).
cnf(i_0_97,negated_conjecture,
( in(esk17_0,esk19_0)
| in(unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)),cartesian_product2(esk19_0,esk20_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_97) ).
cnf(i_0_98,negated_conjecture,
( ~ in(esk17_0,esk19_0)
| ~ in(esk18_0,esk20_0)
| ~ in(unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)),cartesian_product2(esk19_0,esk20_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_98) ).
cnf(i_0_96,negated_conjecture,
( in(esk18_0,esk20_0)
| in(unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)),cartesian_product2(esk19_0,esk20_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_96) ).
cnf(i_0_145,lemma,
( X1 = X2
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_145) ).
cnf(i_0_12,plain,
( X1 = X2
| X3 != unordered_pair(X2,X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_12) ).
cnf(i_0_13,plain,
( X1 = empty_set
| in(esk2_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_13) ).
cnf(i_0_83,lemma,
unordered_pair(X1,X1) != empty_set,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_83) ).
cnf(i_0_38,plain,
( in(esk6_4(X1,X2,X3,X4),X1)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r_oincq5/input.p',i_0_38) ).
cnf(c_0_160,lemma,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)) != unordered_pair(unordered_pair(X4,X2),unordered_pair(X4,X4)) ),
i_0_117 ).
cnf(c_0_161,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_162,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)) != unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,X2)) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_163,plain,
( unordered_pair(unordered_pair(esk6_4(X1,X2,X3,X4),esk7_4(X1,X2,X3,X4)),unordered_pair(esk6_4(X1,X2,X3,X4),esk6_4(X1,X2,X3,X4))) = X4
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_36 ).
cnf(c_0_164,plain,
( in(X1,X2)
| X2 != cartesian_product2(X3,X4)
| X1 != unordered_pair(unordered_pair(X5,X6),unordered_pair(X5,X5))
| ~ in(X6,X4)
| ~ in(X5,X3) ),
i_0_35 ).
cnf(c_0_165,plain,
( in(esk7_4(X1,X2,X3,X4),X2)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_37 ).
cnf(c_0_166,plain,
( X1 = X2
| unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X1)) != unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,X2)) ),
inference(spm,[status(thm)],[c_0_162,c_0_161]) ).
cnf(c_0_167,plain,
( unordered_pair(unordered_pair(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),esk6_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),esk7_4(X1,X2,cartesian_product2(X1,X2),X3))) = X3
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_161])]) ).
cnf(c_0_168,lemma,
( X1 = X2
| X1 = X3
| unordered_pair(X1,X4) != unordered_pair(X3,X2) ),
i_0_103 ).
cnf(c_0_169,negated_conjecture,
( in(esk17_0,esk19_0)
| in(unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)),cartesian_product2(esk19_0,esk20_0)) ),
i_0_97 ).
cnf(c_0_170,negated_conjecture,
( ~ in(esk17_0,esk19_0)
| ~ in(esk18_0,esk20_0)
| ~ in(unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)),cartesian_product2(esk19_0,esk20_0)) ),
i_0_98 ).
cnf(c_0_171,plain,
( in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_164])]) ).
cnf(c_0_172,plain,
( in(esk7_4(X1,X2,cartesian_product2(X1,X2),X3),X2)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_165]) ).
cnf(c_0_173,plain,
( esk7_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X4))) = X4
| ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X4)),cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167])]) ).
cnf(c_0_174,negated_conjecture,
( in(esk18_0,esk20_0)
| in(unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)),cartesian_product2(esk19_0,esk20_0)) ),
i_0_96 ).
cnf(c_0_175,lemma,
( X1 = X2
| unordered_pair(X1,X1) != unordered_pair(X2,X3) ),
i_0_145 ).
cnf(c_0_176,lemma,
( unordered_pair(esk6_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(X3,X4)),esk6_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(X3,X4))) = X3
| unordered_pair(esk6_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(X3,X4)),esk6_4(X1,X2,cartesian_product2(X1,X2),unordered_pair(X3,X4))) = X4
| ~ in(unordered_pair(X3,X4),cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_167])]) ).
cnf(c_0_177,negated_conjecture,
( in(unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)),cartesian_product2(esk19_0,esk20_0))
| in(esk17_0,esk19_0) ),
inference(rw,[status(thm)],[c_0_169,c_0_161]) ).
cnf(c_0_178,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)),cartesian_product2(esk19_0,esk20_0))
| ~ in(esk17_0,esk19_0)
| ~ in(esk18_0,esk20_0) ),
inference(rw,[status(thm)],[c_0_170,c_0_161]) ).
cnf(c_0_179,plain,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X2)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_161]) ).
cnf(c_0_180,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_181,negated_conjecture,
( in(unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)),cartesian_product2(esk19_0,esk20_0))
| in(esk18_0,esk20_0) ),
inference(rw,[status(thm)],[c_0_174,c_0_161]) ).
cnf(c_0_182,plain,
( X1 = X2
| unordered_pair(X1,X1) != unordered_pair(X3,X2) ),
inference(spm,[status(thm)],[c_0_175,c_0_161]) ).
cnf(c_0_183,negated_conjecture,
( unordered_pair(esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))),esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)))) = unordered_pair(esk17_0,esk17_0)
| unordered_pair(esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))),esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)))) = unordered_pair(esk17_0,esk18_0)
| in(esk17_0,esk19_0) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_184,negated_conjecture,
( ~ in(esk17_0,esk19_0)
| ~ in(esk18_0,esk20_0) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_185,negated_conjecture,
in(esk18_0,esk20_0),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_186,plain,
( X1 = X2
| X3 != unordered_pair(X2,X2)
| ~ in(X1,X3) ),
i_0_12 ).
cnf(c_0_187,plain,
( unordered_pair(esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))),esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)))) = unordered_pair(esk17_0,esk17_0)
| esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))) = X1
| in(esk17_0,esk19_0)
| unordered_pair(esk17_0,esk18_0) != unordered_pair(X2,X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_188,negated_conjecture,
~ in(esk17_0,esk19_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).
cnf(c_0_189,plain,
( X1 = X2
| ~ in(X1,unordered_pair(X2,X2)) ),
inference(er,[status(thm)],[c_0_186]) ).
cnf(c_0_190,plain,
( X1 = empty_set
| in(esk2_1(X1),X1) ),
i_0_13 ).
cnf(c_0_191,lemma,
unordered_pair(X1,X1) != empty_set,
i_0_83 ).
cnf(c_0_192,plain,
( unordered_pair(esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))),esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)))) = unordered_pair(esk17_0,esk17_0)
| esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))) = X1
| unordered_pair(esk17_0,esk18_0) != unordered_pair(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_161]),c_0_188]) ).
cnf(c_0_193,plain,
( in(esk6_4(X1,X2,X3,X4),X1)
| X3 != cartesian_product2(X1,X2)
| ~ in(X4,X3) ),
i_0_38 ).
cnf(c_0_194,plain,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]) ).
cnf(c_0_195,plain,
( unordered_pair(esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))),esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)))) = unordered_pair(esk17_0,esk17_0)
| esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))) = esk17_0 ),
inference(er,[status(thm)],[c_0_192]) ).
cnf(c_0_196,plain,
( in(esk6_4(X1,X2,cartesian_product2(X1,X2),X3),X1)
| ~ in(X3,cartesian_product2(X1,X2)) ),
inference(er,[status(thm)],[c_0_193]) ).
cnf(c_0_197,plain,
esk6_4(esk19_0,esk20_0,cartesian_product2(esk19_0,esk20_0),unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0))) = esk17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_194])]) ).
cnf(c_0_198,negated_conjecture,
in(unordered_pair(unordered_pair(esk17_0,esk17_0),unordered_pair(esk17_0,esk18_0)),cartesian_product2(esk19_0,esk20_0)),
inference(sr,[status(thm)],[c_0_177,c_0_188]) ).
cnf(c_0_199,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198])]),c_0_188]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU157+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n009.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 : Sun Jun 19 02:49:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 21.96/4.11 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 21.96/4.11 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 35; version: 991; iters: 150)
% 21.96/4.11 # Preprocessing time : 1.323 s
% 21.96/4.11 # Presaturation interreduction done
% 21.96/4.11
% 21.96/4.11 # Proof found!
% 21.96/4.11 # SZS status Theorem
% 21.96/4.11 # SZS output start CNFRefutation
% See solution above
% 21.96/4.11 # Training examples: 0 positive, 0 negative
% 21.96/4.11
% 21.96/4.11 # -------------------------------------------------
% 21.96/4.11 # User time : 1.617 s
% 21.96/4.11 # System time : 0.138 s
% 21.96/4.11 # Total time : 1.755 s
% 21.96/4.11 # ...preprocessing : 1.323 s
% 21.96/4.11 # ...main loop : 0.432 s
% 21.96/4.11 # Maximum resident set size: 187124 pages
% 21.96/4.11
%------------------------------------------------------------------------------