TSTP Solution File: SET724+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET724+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 00:13:41 EDT 2022
% Result : Theorem 15.83s 3.50s
% Output : CNFRefutation 15.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 36 ( 7 unt; 11 nHn; 26 RR)
% Number of literals : 126 ( 10 equ; 81 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-5 aty)
% Number of variables : 130 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_34,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ member(X4,X5)
| ~ apply(X6,X4,X2)
| ~ apply(X7,X4,X1)
| ~ equal_maps(X7,X6,X5,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_34) ).
cnf(i_0_130,negated_conjecture,
equal_maps(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),compose_function(esk43_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_130) ).
cnf(i_0_1,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7)
| ~ apply(X2,X6,X8) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_1) ).
cnf(i_0_127,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_127) ).
cnf(i_0_128,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_128) ).
cnf(i_0_131,negated_conjecture,
surjective(esk41_0,esk44_0,esk45_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_131) ).
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/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_30) ).
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/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_29) ).
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/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_28) ).
cnf(i_0_31,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk12_4(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/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/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_32) ).
cnf(i_0_33,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_33) ).
cnf(i_0_129,negated_conjecture,
~ equal_maps(esk42_0,esk43_0,esk45_0,esk46_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-roi1qjr4/input.p',i_0_129) ).
cnf(c_0_145,plain,
( X1 = X2
| ~ member(X2,X3)
| ~ member(X1,X3)
| ~ member(X4,X5)
| ~ apply(X6,X4,X2)
| ~ apply(X7,X4,X1)
| ~ equal_maps(X7,X6,X5,X3) ),
i_0_34 ).
cnf(c_0_146,negated_conjecture,
equal_maps(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),compose_function(esk43_0,esk41_0,esk44_0,esk45_0,esk46_0),esk44_0,esk46_0),
i_0_130 ).
cnf(c_0_147,plain,
( apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X7,X5)
| ~ member(X6,X3)
| ~ member(X8,X4)
| ~ apply(X1,X8,X7)
| ~ apply(X2,X6,X8) ),
i_0_1 ).
cnf(c_0_148,plain,
( apply(X1,esk39_4(X1,X2,X3,X4),X4)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_127 ).
cnf(c_0_149,plain,
( X1 = X2
| ~ apply(compose_function(esk42_0,esk41_0,esk44_0,esk45_0,esk46_0),X3,X1)
| ~ apply(compose_function(esk43_0,esk41_0,esk44_0,esk45_0,esk46_0),X3,X2)
| ~ member(X3,esk44_0)
| ~ member(X2,esk46_0)
| ~ member(X1,esk46_0) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_150,plain,
( apply(compose_function(X1,X2,X3,X4,X5),esk39_4(X2,X6,X7,X8),X9)
| ~ apply(X1,X8,X9)
| ~ member(esk39_4(X2,X6,X7,X8),X3)
| ~ member(X8,X4)
| ~ member(X9,X5)
| ~ member(X8,X7)
| ~ surjective(X2,X6,X7) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_151,plain,
( X1 = X2
| ~ apply(compose_function(esk43_0,esk41_0,esk44_0,esk45_0,esk46_0),esk39_4(esk41_0,X3,X4,X5),X2)
| ~ apply(esk42_0,X5,X1)
| ~ member(esk39_4(esk41_0,X3,X4,X5),esk44_0)
| ~ member(X2,esk46_0)
| ~ member(X1,esk46_0)
| ~ member(X5,esk45_0)
| ~ member(X5,X4)
| ~ surjective(esk41_0,X3,X4) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_152,plain,
( X1 = X2
| ~ apply(esk42_0,X3,X1)
| ~ apply(esk43_0,X3,X2)
| ~ member(esk39_4(esk41_0,X4,X5,X3),esk44_0)
| ~ member(X2,esk46_0)
| ~ member(X1,esk46_0)
| ~ member(X3,esk45_0)
| ~ member(X3,X5)
| ~ surjective(esk41_0,X4,X5) ),
inference(spm,[status(thm)],[c_0_151,c_0_150]) ).
cnf(c_0_153,plain,
( member(esk39_4(X1,X2,X3,X4),X2)
| ~ member(X4,X3)
| ~ surjective(X1,X2,X3) ),
i_0_128 ).
cnf(c_0_154,plain,
( X1 = X2
| ~ apply(esk42_0,X3,X1)
| ~ apply(esk43_0,X3,X2)
| ~ member(X2,esk46_0)
| ~ member(X1,esk46_0)
| ~ member(X3,esk45_0)
| ~ member(X3,X4)
| ~ surjective(esk41_0,esk44_0,X4) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_155,negated_conjecture,
surjective(esk41_0,esk44_0,esk45_0),
i_0_131 ).
cnf(c_0_156,negated_conjecture,
( X1 = X2
| ~ apply(esk42_0,X3,X1)
| ~ apply(esk43_0,X3,X2)
| ~ member(X2,esk46_0)
| ~ member(X1,esk46_0)
| ~ member(X3,esk45_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_157,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_158,plain,
( esk11_4(esk42_0,X1,X2,X3) = X4
| equal_maps(esk42_0,X1,X2,X3)
| ~ apply(esk43_0,esk10_4(esk42_0,X1,X2,X3),X4)
| ~ member(esk11_4(esk42_0,X1,X2,X3),esk46_0)
| ~ member(esk10_4(esk42_0,X1,X2,X3),esk45_0)
| ~ member(X4,esk46_0) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_159,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_160,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_161,plain,
( equal_maps(esk42_0,esk43_0,X1,X2)
| ~ member(esk11_4(esk42_0,esk43_0,X1,X2),esk46_0)
| ~ member(esk10_4(esk42_0,esk43_0,X1,X2),esk45_0)
| ~ member(esk12_4(esk42_0,esk43_0,X1,X2),esk46_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).
cnf(c_0_162,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk12_4(X1,X2,X3,X4),X4) ),
i_0_31 ).
cnf(c_0_163,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk11_4(X1,X2,X3,X4),X4) ),
i_0_32 ).
cnf(c_0_164,plain,
( equal_maps(esk42_0,esk43_0,X1,esk46_0)
| ~ member(esk10_4(esk42_0,esk43_0,X1,esk46_0),esk45_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_165,plain,
( equal_maps(X1,X2,X3,X4)
| member(esk10_4(X1,X2,X3,X4),X3) ),
i_0_33 ).
cnf(c_0_166,negated_conjecture,
~ equal_maps(esk42_0,esk43_0,esk45_0,esk46_0),
i_0_129 ).
cnf(c_0_167,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET724+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n026.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 00:21:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 15.83/3.50 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 15.83/3.50 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 34; version: 991; iters: 150)
% 15.83/3.50 # Preprocessing time : 1.127 s
% 15.83/3.50
% 15.83/3.50 # Proof found!
% 15.83/3.50 # SZS status Theorem
% 15.83/3.50 # SZS output start CNFRefutation
% See solution above
% 15.83/3.50 # Training examples: 0 positive, 0 negative
% 15.83/3.50
% 15.83/3.50 # -------------------------------------------------
% 15.83/3.50 # User time : 1.020 s
% 15.83/3.50 # System time : 0.126 s
% 15.83/3.50 # Total time : 1.146 s
% 15.83/3.50 # ...preprocessing : 1.127 s
% 15.83/3.50 # ...main loop : 0.019 s
% 15.83/3.50 # Maximum resident set size: 174316 pages
% 15.83/3.50
%------------------------------------------------------------------------------