TSTP Solution File: SET711+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET711+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 00:13:36 EDT 2022
% Result : Theorem 19.05s 3.92s
% Output : CNFRefutation 19.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 42 ( 11 unt; 17 nHn; 30 RR)
% Number of literals : 110 ( 10 equ; 53 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 99 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_80,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X5)
| ~ apply(X6,X3,X2)
| ~ inverse_predicate(X6,X1,X4,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_80) ).
cnf(i_0_130,negated_conjecture,
inverse_predicate(esk43_0,esk41_0,esk44_0,esk45_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_130) ).
cnf(i_0_29,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk10_4(X1,X2,X3,X4),esk12_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_29) ).
cnf(i_0_131,negated_conjecture,
inverse_predicate(esk42_0,esk41_0,esk44_0,esk45_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_131) ).
cnf(i_0_111,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_111) ).
cnf(i_0_132,negated_conjecture,
one_to_one(esk41_0,esk44_0,esk45_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_132) ).
cnf(i_0_33,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_33) ).
cnf(i_0_30,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_30) ).
cnf(i_0_63,plain,
( X1 = X2
| ~ member(X3,X4)
| ~ member(X2,X5)
| ~ member(X1,X5)
| ~ apply(X6,X2,X3)
| ~ apply(X6,X1,X3)
| ~ injective(X6,X5,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_63) ).
cnf(i_0_31,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk12_4(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_31) ).
cnf(i_0_32,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk11_4(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_32) ).
cnf(i_0_129,negated_conjecture,
~ equal_maps(esk42_0,esk43_0,esk45_0,esk44_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_129) ).
cnf(i_0_28,plain,
( equal_maps(X1,X2,X3,X4)
| esk12_4(X1,X2,X3,X4) != esk11_4(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y6k05cnm/input.p',i_0_28) ).
cnf(c_0_146,plain,
( apply(X1,X2,X3)
| ~ member(X2,X4)
| ~ member(X3,X5)
| ~ apply(X6,X3,X2)
| ~ inverse_predicate(X6,X1,X4,X5) ),
i_0_80 ).
cnf(c_0_147,negated_conjecture,
inverse_predicate(esk43_0,esk41_0,esk44_0,esk45_0),
i_0_130 ).
cnf(c_0_148,negated_conjecture,
( apply(esk41_0,X1,X2)
| ~ apply(esk43_0,X2,X1)
| ~ member(X2,esk45_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_149,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X2,esk10_4(X1,X2,X3,X4),esk12_4(X1,X2,X3,X4)) ),
i_0_29 ).
cnf(c_0_150,negated_conjecture,
inverse_predicate(esk42_0,esk41_0,esk44_0,esk45_0),
i_0_131 ).
cnf(c_0_151,plain,
( injective(X1,X2,X3)
| ~ one_to_one(X1,X2,X3) ),
i_0_111 ).
cnf(c_0_152,negated_conjecture,
one_to_one(esk41_0,esk44_0,esk45_0),
i_0_132 ).
cnf(c_0_153,plain,
( apply(esk41_0,esk12_4(X1,esk43_0,X2,X3),esk10_4(X1,esk43_0,X2,X3))
| equal_maps(X1,esk43_0,X2,X3)
| ~ member(esk10_4(X1,esk43_0,X2,X3),esk45_0)
| ~ member(esk12_4(X1,esk43_0,X2,X3),esk44_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X3) ),
i_0_33 ).
cnf(c_0_155,negated_conjecture,
( apply(esk41_0,X1,X2)
| ~ apply(esk42_0,X2,X1)
| ~ member(X2,esk45_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_150]) ).
cnf(c_0_156,plain,
( equal_maps(X1,X2,X3,X4)
| apply(X1,esk10_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4)) ),
i_0_30 ).
cnf(c_0_157,plain,
( X1 = X2
| ~ member(X3,X4)
| ~ member(X2,X5)
| ~ member(X1,X5)
| ~ apply(X6,X2,X3)
| ~ apply(X6,X1,X3)
| ~ injective(X6,X5,X4) ),
i_0_63 ).
cnf(c_0_158,negated_conjecture,
injective(esk41_0,esk44_0,esk45_0),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_159,plain,
( apply(esk41_0,esk12_4(X1,esk43_0,esk45_0,X2),esk10_4(X1,esk43_0,esk45_0,X2))
| equal_maps(X1,esk43_0,esk45_0,X2)
| ~ member(esk12_4(X1,esk43_0,esk45_0,X2),esk44_0) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_160,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk12_4(X1,X2,X3,X4),X4) ),
i_0_31 ).
cnf(c_0_161,plain,
( apply(esk41_0,esk11_4(esk42_0,X1,X2,X3),esk10_4(esk42_0,X1,X2,X3))
| equal_maps(esk42_0,X1,X2,X3)
| ~ member(esk10_4(esk42_0,X1,X2,X3),esk45_0)
| ~ member(esk11_4(esk42_0,X1,X2,X3),esk44_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_162,plain,
( X1 = X2
| ~ apply(esk41_0,X2,X3)
| ~ apply(esk41_0,X1,X3)
| ~ member(X3,esk45_0)
| ~ member(X2,esk44_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_163,plain,
( apply(esk41_0,esk12_4(X1,esk43_0,esk45_0,esk44_0),esk10_4(X1,esk43_0,esk45_0,esk44_0))
| equal_maps(X1,esk43_0,esk45_0,esk44_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_164,plain,
( apply(esk41_0,esk11_4(esk42_0,X1,esk45_0,X2),esk10_4(esk42_0,X1,esk45_0,X2))
| equal_maps(esk42_0,X1,esk45_0,X2)
| ~ member(esk11_4(esk42_0,X1,esk45_0,X2),esk44_0) ),
inference(spm,[status(thm)],[c_0_161,c_0_154]) ).
cnf(c_0_165,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk11_4(X1,X2,X3,X4),X4) ),
i_0_32 ).
cnf(c_0_166,plain,
( X1 = esk12_4(X2,esk43_0,esk45_0,esk44_0)
| equal_maps(X2,esk43_0,esk45_0,esk44_0)
| ~ apply(esk41_0,X1,esk10_4(X2,esk43_0,esk45_0,esk44_0))
| ~ member(esk10_4(X2,esk43_0,esk45_0,esk44_0),esk45_0)
| ~ member(esk12_4(X2,esk43_0,esk45_0,esk44_0),esk44_0)
| ~ member(X1,esk44_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_167,plain,
( apply(esk41_0,esk11_4(esk42_0,X1,esk45_0,esk44_0),esk10_4(esk42_0,X1,esk45_0,esk44_0))
| equal_maps(esk42_0,X1,esk45_0,esk44_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
~ equal_maps(esk42_0,esk43_0,esk45_0,esk44_0),
i_0_129 ).
cnf(c_0_169,plain,
( esk12_4(esk42_0,esk43_0,esk45_0,esk44_0) = esk11_4(esk42_0,esk43_0,esk45_0,esk44_0)
| ~ member(esk10_4(esk42_0,esk43_0,esk45_0,esk44_0),esk45_0)
| ~ member(esk12_4(esk42_0,esk43_0,esk45_0,esk44_0),esk44_0)
| ~ member(esk11_4(esk42_0,esk43_0,esk45_0,esk44_0),esk44_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).
cnf(c_0_170,plain,
( esk12_4(esk42_0,esk43_0,esk45_0,esk44_0) = esk11_4(esk42_0,esk43_0,esk45_0,esk44_0)
| ~ member(esk12_4(esk42_0,esk43_0,esk45_0,esk44_0),esk44_0)
| ~ member(esk11_4(esk42_0,esk43_0,esk45_0,esk44_0),esk44_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_154]),c_0_168]) ).
cnf(c_0_171,plain,
( esk12_4(esk42_0,esk43_0,esk45_0,esk44_0) = esk11_4(esk42_0,esk43_0,esk45_0,esk44_0)
| ~ member(esk11_4(esk42_0,esk43_0,esk45_0,esk44_0),esk44_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_160]),c_0_168]) ).
cnf(c_0_172,plain,
( equal_maps(X1,X2,X3,X4)
| esk12_4(X1,X2,X3,X4) != esk11_4(X1,X2,X3,X4) ),
i_0_28 ).
cnf(c_0_173,plain,
esk12_4(esk42_0,esk43_0,esk45_0,esk44_0) = esk11_4(esk42_0,esk43_0,esk45_0,esk44_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_165]),c_0_168]) ).
cnf(c_0_174,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_168]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET711+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.13/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 16:36:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 19.05/3.92 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 19.05/3.92 # 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: 28; version: 991; iters: 150)
% 19.05/3.92 # Preprocessing time : 0.865 s
% 19.05/3.92 # Presaturation interreduction done
% 19.05/3.92
% 19.05/3.92 # Proof found!
% 19.05/3.92 # SZS status Theorem
% 19.05/3.92 # SZS output start CNFRefutation
% See solution above
% 19.05/3.92 # Training examples: 0 positive, 0 negative
% 19.05/3.92
% 19.05/3.92 # -------------------------------------------------
% 19.05/3.92 # User time : 1.346 s
% 19.05/3.92 # System time : 0.133 s
% 19.05/3.92 # Total time : 1.480 s
% 19.05/3.92 # ...preprocessing : 0.865 s
% 19.05/3.92 # ...main loop : 0.615 s
% 19.05/3.92 # Maximum resident set size: 167344 pages
% 19.05/3.92
%------------------------------------------------------------------------------