TSTP Solution File: SET018+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET018+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 00:08:08 EDT 2022
% Result : Theorem 7.43s 2.47s
% Output : CNFRefutation 7.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of clauses : 50 ( 22 unt; 19 nHn; 37 RR)
% Number of literals : 88 ( 52 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_89,plain,
( member(X1,unordered_pair(X2,X3))
| X1 != X3
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_uqhtgs3/lgb.p',i_0_89) ).
cnf(i_0_88,plain,
member(unordered_pair(X1,X2),universal_class),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_uqhtgs3/lgb.p',i_0_88) ).
cnf(i_0_56,negated_conjecture,
unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0))) = unordered_pair(unordered_pair(esk7_0,esk7_0),unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_uqhtgs3/lgb.p',i_0_56) ).
cnf(i_0_91,plain,
( X1 = X2
| X1 = X3
| ~ member(X1,unordered_pair(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_uqhtgs3/lgb.p',i_0_91) ).
cnf(i_0_55,negated_conjecture,
member(esk6_0,universal_class),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_uqhtgs3/lgb.p',i_0_55) ).
cnf(i_0_90,plain,
( member(X1,unordered_pair(X2,X3))
| X1 != X2
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_uqhtgs3/lgb.p',i_0_90) ).
cnf(i_0_54,negated_conjecture,
esk8_0 != esk6_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_uqhtgs3/lgb.p',i_0_54) ).
cnf(c_0_99,plain,
( member(X1,unordered_pair(X2,X3))
| X1 != X3
| ~ member(X1,universal_class) ),
i_0_89 ).
cnf(c_0_100,plain,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
inference(er,[status(thm)],[c_0_99]) ).
cnf(c_0_101,plain,
member(unordered_pair(X1,X2),universal_class),
i_0_88 ).
cnf(c_0_102,plain,
member(unordered_pair(X1,X2),unordered_pair(X3,unordered_pair(X1,X2))),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_103,negated_conjecture,
unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0))) = unordered_pair(unordered_pair(esk7_0,esk7_0),unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0))),
i_0_56 ).
cnf(c_0_104,plain,
( X1 = X2
| X1 = X3
| ~ member(X1,unordered_pair(X3,X2)) ),
i_0_91 ).
cnf(c_0_105,negated_conjecture,
member(unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0)),unordered_pair(unordered_pair(esk7_0,esk7_0),unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)))),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,plain,
( unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0)) = unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0))
| unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0)) = unordered_pair(esk7_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_107,plain,
( unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0)) = unordered_pair(esk7_0,esk7_0)
| member(unordered_pair(esk6_0,esk6_0),unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0))) ),
inference(spm,[status(thm)],[c_0_102,c_0_106]) ).
cnf(c_0_108,plain,
( unordered_pair(esk5_0,unordered_pair(esk6_0,esk6_0)) = unordered_pair(esk7_0,esk7_0)
| unordered_pair(esk8_0,esk8_0) = unordered_pair(esk6_0,esk6_0)
| unordered_pair(esk6_0,esk6_0) = esk7_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_107]) ).
cnf(c_0_109,plain,
( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk6_0,esk6_0)
| unordered_pair(esk6_0,esk6_0) = esk7_0
| member(unordered_pair(esk6_0,esk6_0),unordered_pair(esk7_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_108]) ).
cnf(c_0_110,plain,
( unordered_pair(esk8_0,esk8_0) = unordered_pair(esk6_0,esk6_0)
| unordered_pair(esk6_0,esk6_0) = esk7_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_109]) ).
cnf(c_0_111,negated_conjecture,
member(esk6_0,universal_class),
i_0_55 ).
cnf(c_0_112,plain,
( member(X1,unordered_pair(X2,X3))
| X1 != X2
| ~ member(X1,universal_class) ),
i_0_90 ).
cnf(c_0_113,plain,
( unordered_pair(esk6_0,esk6_0) = esk7_0
| X1 = esk8_0
| ~ member(X1,unordered_pair(esk6_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
member(esk6_0,unordered_pair(X1,esk6_0)),
inference(spm,[status(thm)],[c_0_100,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
esk8_0 != esk6_0,
i_0_54 ).
cnf(c_0_116,plain,
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(er,[status(thm)],[c_0_112]) ).
cnf(c_0_117,negated_conjecture,
unordered_pair(esk6_0,esk6_0) = esk7_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_118,plain,
member(unordered_pair(X1,X2),unordered_pair(unordered_pair(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_116,c_0_101]) ).
cnf(c_0_119,negated_conjecture,
unordered_pair(unordered_pair(esk7_0,esk7_0),unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0))) = unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk7_0)),
inference(rw,[status(thm)],[c_0_103,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
member(unordered_pair(esk5_0,esk5_0),unordered_pair(unordered_pair(esk7_0,esk7_0),unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)))),
inference(spm,[status(thm)],[c_0_118,c_0_103]) ).
cnf(c_0_121,plain,
member(unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)),unordered_pair(unordered_pair(esk5_0,esk5_0),unordered_pair(esk5_0,esk7_0))),
inference(spm,[status(thm)],[c_0_102,c_0_119]) ).
cnf(c_0_122,plain,
( unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)) = unordered_pair(esk5_0,esk5_0)
| unordered_pair(esk5_0,esk5_0) = unordered_pair(esk7_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_120]) ).
cnf(c_0_123,plain,
( unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)) = unordered_pair(esk5_0,esk7_0)
| unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)) = unordered_pair(esk5_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_121]) ).
cnf(c_0_124,plain,
( unordered_pair(esk5_0,esk5_0) = unordered_pair(esk7_0,esk7_0)
| member(unordered_pair(esk8_0,esk8_0),unordered_pair(esk5_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_122]) ).
cnf(c_0_125,plain,
( unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)) = unordered_pair(esk5_0,esk7_0)
| unordered_pair(esk5_0,esk5_0) != unordered_pair(esk5_0,esk7_0) ),
inference(ef,[status(thm)],[c_0_123]) ).
cnf(c_0_126,plain,
( unordered_pair(esk5_0,esk5_0) = unordered_pair(esk7_0,esk7_0)
| unordered_pair(esk8_0,esk8_0) = esk5_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_124]) ).
cnf(c_0_127,plain,
( unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)) = unordered_pair(esk5_0,esk7_0)
| unordered_pair(esk5_0,esk7_0) = unordered_pair(esk7_0,esk7_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_117]),c_0_117]) ).
cnf(c_0_128,plain,
member(esk7_0,unordered_pair(esk7_0,X1)),
inference(spm,[status(thm)],[c_0_118,c_0_117]) ).
cnf(c_0_129,plain,
( unordered_pair(esk7_0,unordered_pair(esk8_0,esk8_0)) = unordered_pair(esk5_0,esk7_0)
| unordered_pair(esk8_0,esk8_0) = esk5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).
cnf(c_0_130,plain,
( unordered_pair(esk5_0,esk5_0) = unordered_pair(esk7_0,esk7_0)
| member(esk7_0,unordered_pair(esk5_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_128,c_0_122]) ).
cnf(c_0_131,plain,
( unordered_pair(esk8_0,esk8_0) = esk5_0
| member(unordered_pair(esk8_0,esk8_0),unordered_pair(esk5_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_129]) ).
cnf(c_0_132,plain,
( unordered_pair(esk5_0,esk5_0) = unordered_pair(esk7_0,esk7_0)
| esk5_0 = esk7_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_130]) ).
cnf(c_0_133,plain,
( unordered_pair(esk8_0,esk8_0) = esk7_0
| unordered_pair(esk8_0,esk8_0) = esk5_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_131]) ).
cnf(c_0_134,plain,
( esk5_0 = esk7_0
| X1 = esk5_0
| ~ member(X1,unordered_pair(esk7_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_132]) ).
cnf(c_0_135,plain,
member(esk7_0,unordered_pair(X1,esk7_0)),
inference(spm,[status(thm)],[c_0_102,c_0_117]) ).
cnf(c_0_136,plain,
( unordered_pair(esk8_0,esk8_0) = esk7_0
| esk5_0 != esk7_0 ),
inference(ef,[status(thm)],[c_0_133]) ).
cnf(c_0_137,plain,
esk5_0 = esk7_0,
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_138,plain,
unordered_pair(esk8_0,esk8_0) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]) ).
cnf(c_0_139,plain,
( X1 = esk8_0
| ~ member(X1,esk7_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_138]) ).
cnf(c_0_140,negated_conjecture,
member(esk6_0,esk7_0),
inference(spm,[status(thm)],[c_0_114,c_0_117]) ).
cnf(c_0_141,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_115]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET018+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 05:16:04 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected SinE mode:
% 0.21/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.43/2.47 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.43/2.47 # No SInE strategy applied
% 7.43/2.47 # Trying AutoSched0 for 150 seconds
% 7.43/2.47 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 7.43/2.47 # and selection function SelectNewComplexAHP.
% 7.43/2.47 #
% 7.43/2.47 # Preprocessing time : 0.022 s
% 7.43/2.47 # Presaturation interreduction done
% 7.43/2.47
% 7.43/2.47 # Proof found!
% 7.43/2.47 # SZS status Theorem
% 7.43/2.47 # SZS output start CNFRefutation
% See solution above
% 7.43/2.47 # Training examples: 0 positive, 0 negative
% 7.43/2.47
% 7.43/2.47 # -------------------------------------------------
% 7.43/2.47 # User time : 0.048 s
% 7.43/2.47 # System time : 0.007 s
% 7.43/2.47 # Total time : 0.055 s
% 7.43/2.47 # Maximum resident set size: 7128 pages
% 7.43/2.47
%------------------------------------------------------------------------------