TSTP Solution File: SEU156+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU156+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 08:38:57 EDT 2022
% Result : Theorem 8.46s 2.62s
% Output : CNFRefutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of clauses : 57 ( 19 unt; 23 nHn; 49 RR)
% Number of literals : 113 ( 88 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_106,negated_conjecture,
unordered_pair(unordered_pair(esk15_0,esk16_0),unordered_pair(esk15_0,esk15_0)) = unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_106) ).
cnf(i_0_3,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_3) ).
cnf(i_0_23,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X3,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_23) ).
cnf(i_0_91,lemma,
( X1 = X2
| X1 = X3
| unordered_pair(X1,X4) != unordered_pair(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_91) ).
cnf(i_0_22,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_22) ).
cnf(i_0_24,plain,
( X1 = X2
| X1 = X3
| X4 != unordered_pair(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_24) ).
cnf(i_0_105,negated_conjecture,
( esk15_0 != esk17_0
| esk16_0 != esk18_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_105) ).
cnf(i_0_78,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_78) ).
cnf(i_0_13,plain,
( X1 = empty_set
| in(esk2_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_13) ).
cnf(i_0_126,lemma,
( X1 = X2
| ~ subset(unordered_pair(X1,X1),unordered_pair(X2,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_126) ).
cnf(i_0_74,lemma,
unordered_pair(X1,X1) != empty_set,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yfaacrtz/lgb.p',i_0_74) ).
cnf(c_0_138,negated_conjecture,
unordered_pair(unordered_pair(esk15_0,esk16_0),unordered_pair(esk15_0,esk15_0)) = unordered_pair(unordered_pair(esk17_0,esk18_0),unordered_pair(esk17_0,esk17_0)),
i_0_106 ).
cnf(c_0_139,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_3 ).
cnf(c_0_140,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X3,X4) ),
i_0_23 ).
cnf(c_0_141,lemma,
( X1 = X2
| X1 = X3
| unordered_pair(X1,X4) != unordered_pair(X3,X2) ),
i_0_91 ).
cnf(c_0_142,negated_conjecture,
unordered_pair(unordered_pair(esk16_0,esk15_0),unordered_pair(esk15_0,esk15_0)) = unordered_pair(unordered_pair(esk18_0,esk17_0),unordered_pair(esk17_0,esk17_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139]),c_0_139]) ).
cnf(c_0_143,plain,
( in(X1,X2)
| X2 != unordered_pair(X1,X3) ),
inference(er,[status(thm)],[c_0_140]) ).
cnf(c_0_144,negated_conjecture,
( unordered_pair(esk16_0,esk15_0) = X1
| unordered_pair(esk16_0,esk15_0) = X2
| unordered_pair(unordered_pair(esk18_0,esk17_0),unordered_pair(esk17_0,esk17_0)) != unordered_pair(X1,X2) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_145,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X4,X3) ),
i_0_22 ).
cnf(c_0_146,plain,
( X1 = X2
| X1 = X3
| X4 != unordered_pair(X3,X2)
| ~ in(X1,X4) ),
i_0_24 ).
cnf(c_0_147,plain,
in(X1,unordered_pair(X1,X2)),
inference(er,[status(thm)],[c_0_143]) ).
cnf(c_0_148,negated_conjecture,
( unordered_pair(esk17_0,esk17_0) = unordered_pair(esk16_0,esk15_0)
| unordered_pair(esk16_0,esk15_0) = unordered_pair(esk18_0,esk17_0) ),
inference(er,[status(thm)],[c_0_144]) ).
cnf(c_0_149,plain,
( in(X1,X2)
| X2 != unordered_pair(X3,X1) ),
inference(er,[status(thm)],[c_0_145]) ).
cnf(c_0_150,negated_conjecture,
( X1 = unordered_pair(esk16_0,esk15_0)
| X1 = unordered_pair(esk15_0,esk15_0)
| unordered_pair(X1,X2) != unordered_pair(unordered_pair(esk18_0,esk17_0),unordered_pair(esk17_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_151,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(er,[status(thm)],[c_0_146]) ).
cnf(c_0_152,plain,
in(esk17_0,unordered_pair(esk16_0,esk15_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).
cnf(c_0_153,negated_conjecture,
( unordered_pair(esk15_0,esk15_0) = unordered_pair(esk18_0,esk17_0)
| unordered_pair(esk16_0,esk15_0) = unordered_pair(esk18_0,esk17_0) ),
inference(er,[status(thm)],[c_0_150]) ).
cnf(c_0_154,plain,
( esk15_0 = esk17_0
| esk17_0 = esk16_0 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_155,negated_conjecture,
( unordered_pair(esk16_0,esk17_0) = unordered_pair(esk18_0,esk17_0)
| unordered_pair(esk17_0,esk17_0) = unordered_pair(esk18_0,esk17_0)
| esk17_0 = esk16_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_156,negated_conjecture,
( unordered_pair(esk16_0,esk17_0) = unordered_pair(esk18_0,esk17_0)
| unordered_pair(esk16_0,esk15_0) = unordered_pair(esk18_0,esk17_0)
| esk17_0 = esk16_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_155]) ).
cnf(c_0_157,plain,
in(esk15_0,unordered_pair(esk18_0,esk17_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_153]),c_0_149]) ).
cnf(c_0_158,plain,
( unordered_pair(esk16_0,esk17_0) = unordered_pair(esk18_0,esk17_0)
| esk17_0 = esk16_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
( esk15_0 != esk17_0
| esk16_0 != esk18_0 ),
i_0_105 ).
cnf(c_0_160,plain,
( esk15_0 = esk17_0
| esk15_0 = esk18_0 ),
inference(spm,[status(thm)],[c_0_151,c_0_157]) ).
cnf(c_0_161,plain,
( esk17_0 = esk16_0
| in(esk16_0,unordered_pair(esk18_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_147,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
( esk17_0 = esk16_0
| esk16_0 != esk18_0 ),
inference(spm,[status(thm)],[c_0_159,c_0_154]) ).
cnf(c_0_163,negated_conjecture,
( unordered_pair(esk16_0,esk17_0) = unordered_pair(esk18_0,esk17_0)
| unordered_pair(esk17_0,esk17_0) = unordered_pair(esk18_0,esk17_0)
| esk15_0 = esk18_0 ),
inference(spm,[status(thm)],[c_0_153,c_0_160]) ).
cnf(c_0_164,plain,
esk17_0 = esk16_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_161]),c_0_162]) ).
cnf(c_0_165,negated_conjecture,
( unordered_pair(esk16_0,esk16_0) = unordered_pair(esk18_0,esk16_0)
| esk15_0 = esk18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164]),c_0_164]),c_0_164]),c_0_164]),c_0_164])]) ).
cnf(c_0_166,lemma,
( esk15_0 = esk18_0
| X1 = esk16_0
| unordered_pair(X1,X2) != unordered_pair(esk18_0,esk16_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_165]) ).
cnf(c_0_167,negated_conjecture,
( esk15_0 = esk18_0
| esk16_0 != esk18_0 ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_168,lemma,
esk15_0 = esk18_0,
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_166]),c_0_167]) ).
cnf(c_0_169,plain,
in(X1,unordered_pair(X2,X1)),
inference(er,[status(thm)],[c_0_149]) ).
cnf(c_0_170,negated_conjecture,
unordered_pair(unordered_pair(esk18_0,esk16_0),unordered_pair(esk16_0,esk16_0)) = unordered_pair(unordered_pair(esk18_0,esk18_0),unordered_pair(esk18_0,esk16_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_164]),c_0_164]),c_0_164]),c_0_168]),c_0_139]),c_0_168]),c_0_168]),c_0_139]) ).
cnf(c_0_171,plain,
in(unordered_pair(esk16_0,esk16_0),unordered_pair(unordered_pair(esk18_0,esk18_0),unordered_pair(esk18_0,esk16_0))),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_172,lemma,
( subset(unordered_pair(X1,X1),X2)
| ~ in(X1,X2) ),
i_0_78 ).
cnf(c_0_173,plain,
( X1 = empty_set
| in(esk2_1(X1),X1) ),
i_0_13 ).
cnf(c_0_174,plain,
( unordered_pair(esk16_0,esk16_0) = unordered_pair(esk18_0,esk16_0)
| unordered_pair(esk16_0,esk16_0) = unordered_pair(esk18_0,esk18_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_171]) ).
cnf(c_0_175,negated_conjecture,
( esk15_0 != esk16_0
| esk16_0 != esk18_0 ),
inference(rw,[status(thm)],[c_0_159,c_0_164]) ).
cnf(c_0_176,lemma,
( X1 = X2
| ~ subset(unordered_pair(X1,X1),unordered_pair(X2,X2)) ),
i_0_126 ).
cnf(c_0_177,plain,
( X1 = empty_set
| subset(unordered_pair(esk2_1(X1),esk2_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_178,lemma,
unordered_pair(X1,X1) != empty_set,
i_0_74 ).
cnf(c_0_179,lemma,
( unordered_pair(esk16_0,esk16_0) = unordered_pair(esk18_0,esk18_0)
| X1 = esk16_0
| unordered_pair(X1,X2) != unordered_pair(esk18_0,esk16_0) ),
inference(spm,[status(thm)],[c_0_141,c_0_174]) ).
cnf(c_0_180,negated_conjecture,
esk16_0 != esk18_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_168])]) ).
cnf(c_0_181,lemma,
esk2_1(unordered_pair(X1,X1)) = X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_182,lemma,
unordered_pair(esk16_0,esk16_0) = unordered_pair(esk18_0,esk18_0),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_179]),c_0_180]) ).
cnf(c_0_183,lemma,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_181]),c_0_180]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU156+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Sun Jun 19 10:29:57 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.48 # ENIGMATIC: Selected complete mode:
% 8.46/2.62 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.46/2.62 # No SInE strategy applied
% 8.46/2.62 # Trying AutoSched0 for 150 seconds
% 8.46/2.62 # AutoSched0-Mode selected heuristic G_E___024_B31_F1_PI_AE_Q4_CS_SP_S2S
% 8.46/2.62 # and selection function SelectNewComplexAHP.
% 8.46/2.62 #
% 8.46/2.62 # Preprocessing time : 0.023 s
% 8.46/2.62
% 8.46/2.62 # Proof found!
% 8.46/2.62 # SZS status Theorem
% 8.46/2.62 # SZS output start CNFRefutation
% See solution above
% 8.46/2.62 # Training examples: 0 positive, 0 negative
% 8.46/2.62
% 8.46/2.62 # -------------------------------------------------
% 8.46/2.62 # User time : 0.083 s
% 8.46/2.62 # System time : 0.006 s
% 8.46/2.62 # Total time : 0.089 s
% 8.46/2.62 # Maximum resident set size: 7124 pages
% 8.46/2.62
%------------------------------------------------------------------------------