TSTP Solution File: SET768+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET768+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 00:13:58 EDT 2022
% Result : Theorem 16.93s 3.66s
% Output : CNFRefutation 16.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of clauses : 61 ( 15 unt; 18 nHn; 53 RR)
% Number of literals : 146 ( 0 equ; 70 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 106 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_12) ).
cnf(i_0_74,negated_conjecture,
equivalence(esk16_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_74) ).
cnf(i_0_131,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ epred1_2(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_131) ).
cnf(i_0_72,negated_conjecture,
member(esk18_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_72) ).
cnf(i_0_9,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_9) ).
cnf(i_0_70,negated_conjecture,
( apply(esk16_0,esk17_0,esk18_0)
| equal_set(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_70) ).
cnf(i_0_13,plain,
( member(X1,equivalence_class(X2,X3,X4))
| ~ member(X1,X3)
| ~ apply(X4,X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_13) ).
cnf(i_0_66,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_66) ).
cnf(i_0_129,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_129) ).
cnf(i_0_14,plain,
( apply(X1,X2,X3)
| ~ member(X3,equivalence_class(X2,X4,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_14) ).
cnf(i_0_65,plain,
( subset(X1,X2)
| member(esk13_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_65) ).
cnf(i_0_130,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X4)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_130) ).
cnf(i_0_73,negated_conjecture,
member(esk17_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_73) ).
cnf(i_0_15,plain,
( member(X1,X2)
| ~ member(X1,equivalence_class(X3,X2,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_15) ).
cnf(i_0_64,plain,
( subset(X1,X2)
| ~ member(esk13_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_64) ).
cnf(i_0_71,negated_conjecture,
( ~ apply(esk16_0,esk17_0,esk18_0)
| ~ equal_set(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_71) ).
cnf(i_0_8,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m41tlrbb/input.p',i_0_8) ).
cnf(c_0_149,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
i_0_12 ).
cnf(c_0_150,negated_conjecture,
equivalence(esk16_0,esk15_0),
i_0_74 ).
cnf(c_0_151,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ epred1_2(X1,X3) ),
i_0_131 ).
cnf(c_0_152,negated_conjecture,
epred1_2(esk16_0,esk15_0),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_153,negated_conjecture,
( apply(esk16_0,X1,X1)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_154,negated_conjecture,
member(esk18_0,esk15_0),
i_0_72 ).
cnf(c_0_155,plain,
( subset(X1,X2)
| ~ equal_set(X2,X1) ),
i_0_9 ).
cnf(c_0_156,negated_conjecture,
( apply(esk16_0,esk17_0,esk18_0)
| equal_set(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)) ),
i_0_70 ).
cnf(c_0_157,plain,
( member(X1,equivalence_class(X2,X3,X4))
| ~ member(X1,X3)
| ~ apply(X4,X2,X1) ),
i_0_13 ).
cnf(c_0_158,negated_conjecture,
apply(esk16_0,esk18_0,esk18_0),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_66 ).
cnf(c_0_160,plain,
( apply(esk16_0,esk17_0,esk18_0)
| subset(equivalence_class(esk18_0,esk15_0,esk16_0),equivalence_class(esk17_0,esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,plain,
( member(esk18_0,equivalence_class(esk18_0,X1,esk16_0))
| ~ member(esk18_0,X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_162,plain,
( apply(esk16_0,esk17_0,esk18_0)
| member(X1,equivalence_class(esk17_0,esk15_0,esk16_0))
| ~ member(X1,equivalence_class(esk18_0,esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_163,negated_conjecture,
member(esk18_0,equivalence_class(esk18_0,esk15_0,esk16_0)),
inference(spm,[status(thm)],[c_0_161,c_0_154]) ).
cnf(c_0_164,plain,
( apply(X1,X2,X3)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ member(X2,X4)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X5,X3)
| ~ apply(X1,X2,X5) ),
i_0_129 ).
cnf(c_0_165,plain,
( apply(X1,X2,X3)
| ~ member(X3,equivalence_class(X2,X4,X1)) ),
i_0_14 ).
cnf(c_0_166,plain,
( subset(X1,X2)
| member(esk13_2(X1,X2),X1) ),
i_0_65 ).
cnf(c_0_167,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X4)
| ~ epred1_2(X1,X4)
| ~ apply(X1,X3,X2) ),
i_0_130 ).
cnf(c_0_168,plain,
( apply(esk16_0,esk17_0,esk18_0)
| member(esk18_0,equivalence_class(esk17_0,esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_169,negated_conjecture,
( apply(esk16_0,X1,X2)
| ~ apply(esk16_0,X3,X2)
| ~ apply(esk16_0,X1,X3)
| ~ member(X3,esk15_0)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_152]) ).
cnf(c_0_170,plain,
( apply(X1,X2,esk13_2(equivalence_class(X2,X3,X1),X4))
| subset(equivalence_class(X2,X3,X1),X4) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
( apply(esk16_0,X1,X2)
| ~ apply(esk16_0,X2,X1)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_167,c_0_152]) ).
cnf(c_0_172,plain,
apply(esk16_0,esk17_0,esk18_0),
inference(spm,[status(thm)],[c_0_165,c_0_168]) ).
cnf(c_0_173,negated_conjecture,
member(esk17_0,esk15_0),
i_0_73 ).
cnf(c_0_174,plain,
( apply(esk16_0,X1,esk13_2(equivalence_class(X2,X3,esk16_0),X4))
| subset(equivalence_class(X2,X3,esk16_0),X4)
| ~ apply(esk16_0,X1,X2)
| ~ member(esk13_2(equivalence_class(X2,X3,esk16_0),X4),esk15_0)
| ~ member(X2,esk15_0)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_175,plain,
( member(X1,X2)
| ~ member(X1,equivalence_class(X3,X2,X4)) ),
i_0_15 ).
cnf(c_0_176,negated_conjecture,
apply(esk16_0,esk18_0,esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_154])]) ).
cnf(c_0_177,plain,
( apply(esk16_0,esk17_0,esk13_2(equivalence_class(esk18_0,X1,esk16_0),X2))
| subset(equivalence_class(esk18_0,X1,esk16_0),X2)
| ~ member(esk13_2(equivalence_class(esk18_0,X1,esk16_0),X2),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_172]),c_0_154]),c_0_173])]) ).
cnf(c_0_178,plain,
( subset(equivalence_class(X1,X2,X3),X4)
| member(esk13_2(equivalence_class(X1,X2,X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_175,c_0_166]) ).
cnf(c_0_179,negated_conjecture,
( apply(esk16_0,esk18_0,esk13_2(equivalence_class(esk17_0,X1,esk16_0),X2))
| subset(equivalence_class(esk17_0,X1,esk16_0),X2)
| ~ member(esk13_2(equivalence_class(esk17_0,X1,esk16_0),X2),esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_176]),c_0_173]),c_0_154])]) ).
cnf(c_0_180,plain,
( apply(esk16_0,esk17_0,esk13_2(equivalence_class(esk18_0,esk15_0,esk16_0),X1))
| subset(equivalence_class(esk18_0,esk15_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_181,plain,
( apply(esk16_0,esk18_0,esk13_2(equivalence_class(esk17_0,esk15_0,esk16_0),X1))
| subset(equivalence_class(esk17_0,esk15_0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_178]) ).
cnf(c_0_182,plain,
( subset(equivalence_class(esk18_0,esk15_0,esk16_0),X1)
| member(esk13_2(equivalence_class(esk18_0,esk15_0,esk16_0),X1),equivalence_class(esk17_0,X2,esk16_0))
| ~ member(esk13_2(equivalence_class(esk18_0,esk15_0,esk16_0),X1),X2) ),
inference(spm,[status(thm)],[c_0_157,c_0_180]) ).
cnf(c_0_183,plain,
( subset(equivalence_class(esk17_0,esk15_0,esk16_0),X1)
| member(esk13_2(equivalence_class(esk17_0,esk15_0,esk16_0),X1),equivalence_class(esk18_0,X2,esk16_0))
| ~ member(esk13_2(equivalence_class(esk17_0,esk15_0,esk16_0),X1),X2) ),
inference(spm,[status(thm)],[c_0_157,c_0_181]) ).
cnf(c_0_184,plain,
( subset(X1,X2)
| ~ member(esk13_2(X1,X2),X2) ),
i_0_64 ).
cnf(c_0_185,plain,
( subset(equivalence_class(esk18_0,esk15_0,esk16_0),X1)
| member(esk13_2(equivalence_class(esk18_0,esk15_0,esk16_0),X1),equivalence_class(esk17_0,esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_182,c_0_178]) ).
cnf(c_0_186,plain,
( subset(equivalence_class(esk17_0,esk15_0,esk16_0),X1)
| member(esk13_2(equivalence_class(esk17_0,esk15_0,esk16_0),X1),equivalence_class(esk18_0,esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_183,c_0_178]) ).
cnf(c_0_187,negated_conjecture,
( ~ apply(esk16_0,esk17_0,esk18_0)
| ~ equal_set(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)) ),
i_0_71 ).
cnf(c_0_188,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_8 ).
cnf(c_0_189,plain,
subset(equivalence_class(esk18_0,esk15_0,esk16_0),equivalence_class(esk17_0,esk15_0,esk16_0)),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_190,plain,
subset(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)),
inference(spm,[status(thm)],[c_0_184,c_0_186]) ).
cnf(c_0_191,negated_conjecture,
~ equal_set(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_172])]) ).
cnf(c_0_192,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190])]),c_0_191]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET768+4 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n003.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 Jul 10 01:25:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 16.93/3.66 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.93/3.66 # 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: 39; version: 991; iters: 150)
% 16.93/3.66 # Preprocessing time : 0.854 s
% 16.93/3.66 # Presaturation interreduction done
% 16.93/3.66
% 16.93/3.66 # Proof found!
% 16.93/3.66 # SZS status Theorem
% 16.93/3.66 # SZS output start CNFRefutation
% See solution above
% 16.93/3.66 # Training examples: 0 positive, 0 negative
% 16.93/3.66
% 16.93/3.66 # -------------------------------------------------
% 16.93/3.66 # User time : 1.042 s
% 16.93/3.66 # System time : 0.108 s
% 16.93/3.66 # Total time : 1.150 s
% 16.93/3.66 # ...preprocessing : 0.854 s
% 16.93/3.66 # ...main loop : 0.296 s
% 16.93/3.66 # Maximum resident set size: 167960 pages
% 16.93/3.66
%------------------------------------------------------------------------------