TSTP Solution File: SET770+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET770+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 22.04s 4.13s
% Output : CNFRefutation 22.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of clauses : 56 ( 14 unt; 19 nHn; 42 RR)
% Number of literals : 159 ( 0 equ; 93 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 145 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( apply(X1,X2,X3)
| ~ member(X3,equivalence_class(X2,X4,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/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-9xv2uwm5/input.p',i_0_65) ).
cnf(i_0_4,plain,
( disjoint(X1,X2)
| member(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_4) ).
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-9xv2uwm5/input.p',i_0_129) ).
cnf(i_0_15,plain,
( member(X1,X2)
| ~ member(X1,equivalence_class(X3,X2,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_15) ).
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-9xv2uwm5/input.p',i_0_130) ).
cnf(i_0_5,plain,
( disjoint(X1,X2)
| member(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_5) ).
cnf(i_0_64,plain,
( subset(X1,X2)
| ~ member(esk13_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_64) ).
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-9xv2uwm5/input.p',i_0_13) ).
cnf(i_0_71,negated_conjecture,
~ 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-9xv2uwm5/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-9xv2uwm5/input.p',i_0_8) ).
cnf(i_0_12,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_12) ).
cnf(i_0_74,negated_conjecture,
equivalence(esk16_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_74) ).
cnf(i_0_73,negated_conjecture,
member(esk17_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_73) ).
cnf(i_0_72,negated_conjecture,
member(esk18_0,esk15_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_72) ).
cnf(i_0_70,negated_conjecture,
~ disjoint(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xv2uwm5/input.p',i_0_70) ).
cnf(c_0_147,plain,
( apply(X1,X2,X3)
| ~ member(X3,equivalence_class(X2,X4,X1)) ),
i_0_14 ).
cnf(c_0_148,plain,
( subset(X1,X2)
| member(esk13_2(X1,X2),X1) ),
i_0_65 ).
cnf(c_0_149,plain,
( disjoint(X1,X2)
| member(esk1_2(X1,X2),X2) ),
i_0_4 ).
cnf(c_0_150,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_151,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_147,c_0_148]) ).
cnf(c_0_152,plain,
( member(X1,X2)
| ~ member(X1,equivalence_class(X3,X2,X4)) ),
i_0_15 ).
cnf(c_0_153,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_154,plain,
( apply(X1,X2,esk1_2(X3,equivalence_class(X2,X4,X1)))
| disjoint(X3,equivalence_class(X2,X4,X1)) ),
inference(spm,[status(thm)],[c_0_147,c_0_149]) ).
cnf(c_0_155,plain,
( disjoint(X1,X2)
| member(esk1_2(X1,X2),X1) ),
i_0_5 ).
cnf(c_0_156,plain,
( subset(X1,X2)
| ~ member(esk13_2(X1,X2),X2) ),
i_0_64 ).
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,plain,
( apply(X1,X2,esk13_2(equivalence_class(X3,X4,X1),X5))
| subset(equivalence_class(X3,X4,X1),X5)
| ~ apply(X1,X2,X3)
| ~ epred1_2(X1,X6)
| ~ member(esk13_2(equivalence_class(X3,X4,X1),X5),X6)
| ~ member(X3,X6)
| ~ member(X2,X6) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_159,plain,
( subset(equivalence_class(X1,X2,X3),X4)
| member(esk13_2(equivalence_class(X1,X2,X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_148]) ).
cnf(c_0_160,plain,
( apply(X1,esk1_2(X2,equivalence_class(X3,X4,X1)),X3)
| disjoint(X2,equivalence_class(X3,X4,X1))
| ~ epred1_2(X1,X5)
| ~ member(esk1_2(X2,equivalence_class(X3,X4,X1)),X5)
| ~ member(X3,X5) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_161,plain,
( disjoint(equivalence_class(X1,X2,X3),X4)
| member(esk1_2(equivalence_class(X1,X2,X3),X4),X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_155]) ).
cnf(c_0_162,plain,
( subset(X1,equivalence_class(X2,X3,X4))
| ~ apply(X4,X2,esk13_2(X1,equivalence_class(X2,X3,X4)))
| ~ member(esk13_2(X1,equivalence_class(X2,X3,X4)),X3) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_163,plain,
( apply(X1,X2,esk13_2(equivalence_class(X3,X4,X1),X5))
| subset(equivalence_class(X3,X4,X1),X5)
| ~ apply(X1,X2,X3)
| ~ epred1_2(X1,X4)
| ~ member(X3,X4)
| ~ member(X2,X4) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_164,plain,
( apply(X1,esk1_2(equivalence_class(X2,X3,X4),equivalence_class(X5,X6,X1)),X5)
| disjoint(equivalence_class(X2,X3,X4),equivalence_class(X5,X6,X1))
| ~ epred1_2(X1,X3)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_165,negated_conjecture,
~ equal_set(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)),
i_0_71 ).
cnf(c_0_166,plain,
( equal_set(X1,X2)
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_8 ).
cnf(c_0_167,plain,
( subset(equivalence_class(X1,X2,X3),equivalence_class(X4,X5,X3))
| ~ apply(X3,X4,X1)
| ~ epred1_2(X3,X2)
| ~ member(esk13_2(equivalence_class(X1,X2,X3),equivalence_class(X4,X5,X3)),X5)
| ~ member(X1,X2)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,plain,
( epred1_2(X1,X2)
| ~ equivalence(X1,X2) ),
i_0_12 ).
cnf(c_0_169,negated_conjecture,
equivalence(esk16_0,esk15_0),
i_0_74 ).
cnf(c_0_170,plain,
( apply(X1,X2,X3)
| disjoint(equivalence_class(X4,X5,X6),equivalence_class(X3,X7,X1))
| ~ apply(X1,X2,esk1_2(equivalence_class(X4,X5,X6),equivalence_class(X3,X7,X1)))
| ~ epred1_2(X1,X8)
| ~ epred1_2(X1,X5)
| ~ member(esk1_2(equivalence_class(X4,X5,X6),equivalence_class(X3,X7,X1)),X8)
| ~ member(X3,X8)
| ~ member(X2,X8)
| ~ member(X3,X5) ),
inference(spm,[status(thm)],[c_0_150,c_0_164]) ).
cnf(c_0_171,plain,
( apply(X1,X2,esk1_2(equivalence_class(X2,X3,X1),X4))
| disjoint(equivalence_class(X2,X3,X1),X4) ),
inference(spm,[status(thm)],[c_0_147,c_0_155]) ).
cnf(c_0_172,plain,
( ~ subset(equivalence_class(esk18_0,esk15_0,esk16_0),equivalence_class(esk17_0,esk15_0,esk16_0))
| ~ subset(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_173,plain,
( subset(equivalence_class(X1,X2,X3),equivalence_class(X4,X2,X3))
| ~ apply(X3,X4,X1)
| ~ epred1_2(X3,X2)
| ~ member(X1,X2)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_167,c_0_159]) ).
cnf(c_0_174,negated_conjecture,
epred1_2(esk16_0,esk15_0),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_175,negated_conjecture,
member(esk17_0,esk15_0),
i_0_73 ).
cnf(c_0_176,negated_conjecture,
member(esk18_0,esk15_0),
i_0_72 ).
cnf(c_0_177,plain,
( apply(X1,X2,X3)
| disjoint(equivalence_class(X2,X4,X1),equivalence_class(X3,X5,X1))
| ~ epred1_2(X1,X6)
| ~ epred1_2(X1,X4)
| ~ member(esk1_2(equivalence_class(X2,X4,X1),equivalence_class(X3,X5,X1)),X6)
| ~ member(X3,X6)
| ~ member(X2,X6)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_178,plain,
( disjoint(X1,equivalence_class(X2,X3,X4))
| member(esk1_2(X1,equivalence_class(X2,X3,X4)),X3) ),
inference(spm,[status(thm)],[c_0_152,c_0_149]) ).
cnf(c_0_179,plain,
( ~ apply(esk16_0,esk18_0,esk17_0)
| ~ subset(equivalence_class(esk18_0,esk15_0,esk16_0),equivalence_class(esk17_0,esk15_0,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_175]),c_0_176])]) ).
cnf(c_0_180,negated_conjecture,
~ disjoint(equivalence_class(esk17_0,esk15_0,esk16_0),equivalence_class(esk18_0,esk15_0,esk16_0)),
i_0_70 ).
cnf(c_0_181,plain,
( apply(X1,X2,X3)
| disjoint(equivalence_class(X2,X4,X1),equivalence_class(X3,X5,X1))
| ~ epred1_2(X1,X5)
| ~ epred1_2(X1,X4)
| ~ member(X3,X5)
| ~ member(X2,X5)
| ~ member(X3,X4) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_182,plain,
( ~ apply(esk16_0,esk18_0,esk17_0)
| ~ apply(esk16_0,esk17_0,esk18_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_173]),c_0_174]),c_0_176]),c_0_175])]) ).
cnf(c_0_183,negated_conjecture,
apply(esk16_0,esk17_0,esk18_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_174]),c_0_176]),c_0_175])]) ).
cnf(c_0_184,plain,
~ apply(esk16_0,esk18_0,esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183])]) ).
cnf(c_0_185,plain,
( ~ epred1_2(esk16_0,X1)
| ~ member(esk17_0,X1)
| ~ member(esk18_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_183]),c_0_184]) ).
cnf(c_0_186,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_174]),c_0_175]),c_0_176])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET770+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 19:28:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 22.04/4.13 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 22.04/4.13 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 22.04/4.13 # Preprocessing time : 1.139 s
% 22.04/4.13
% 22.04/4.13 # Proof found!
% 22.04/4.13 # SZS status Theorem
% 22.04/4.13 # SZS output start CNFRefutation
% See solution above
% 22.04/4.13 # Training examples: 0 positive, 0 negative
% 22.04/4.13
% 22.04/4.13 # -------------------------------------------------
% 22.04/4.13 # User time : 1.561 s
% 22.04/4.13 # System time : 0.150 s
% 22.04/4.13 # Total time : 1.711 s
% 22.04/4.13 # ...preprocessing : 1.139 s
% 22.04/4.13 # ...main loop : 0.571 s
% 22.04/4.13 # Maximum resident set size: 175452 pages
% 22.04/4.13
%------------------------------------------------------------------------------