TSTP Solution File: SET732+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET732+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 00:13:45 EDT 2022
% Result : Theorem 18.53s 3.73s
% Output : CNFRefutation 18.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of clauses : 71 ( 19 unt; 22 nHn; 55 RR)
% Number of literals : 166 ( 13 equ; 76 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 130 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
( apply(X1,esk14_3(X1,X2,X3),X3)
| ~ member(X3,image2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_42) ).
cnf(i_0_133,negated_conjecture,
image2(esk41_0,esk43_0) = esk45_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_133) ).
cnf(i_0_126,plain,
( surjective(X1,X2,X3)
| member(esk40_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_126) ).
cnf(i_0_131,negated_conjecture,
( apply(esk42_0,X1,X2)
| ~ member(X2,esk45_0)
| ~ member(X1,esk43_0)
| ~ apply(esk41_0,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_131) ).
cnf(i_0_43,plain,
( member(esk14_3(X1,X2,X3),X2)
| ~ member(X3,image2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_43) ).
cnf(i_0_125,plain,
( surjective(X1,X2,X3)
| ~ member(X4,X2)
| ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_125) ).
cnf(i_0_132,negated_conjecture,
( apply(esk41_0,X1,X2)
| ~ member(X2,esk45_0)
| ~ member(X1,esk43_0)
| ~ apply(esk42_0,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_132) ).
cnf(i_0_59,plain,
( injective(X1,X2,X3)
| apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_59) ).
cnf(i_0_60,plain,
( injective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_60) ).
cnf(i_0_109,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_109) ).
cnf(i_0_129,negated_conjecture,
~ one_to_one(esk42_0,esk43_0,esk45_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_129) ).
cnf(i_0_62,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_62) ).
cnf(i_0_41,plain,
( member(X1,image2(X2,X3))
| ~ member(X4,X3)
| ~ apply(X2,X4,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_41) ).
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/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_63) ).
cnf(i_0_130,negated_conjecture,
injective(esk41_0,esk43_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_130) ).
cnf(i_0_121,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_121) ).
cnf(i_0_134,negated_conjecture,
subset(esk45_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_134) ).
cnf(i_0_58,plain,
( injective(X1,X2,X3)
| apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_58) ).
cnf(i_0_61,plain,
( injective(X1,X2,X3)
| member(esk21_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_61) ).
cnf(i_0_57,plain,
( injective(X1,X2,X3)
| esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xifiw346/input.p',i_0_57) ).
cnf(c_0_155,plain,
( apply(X1,esk14_3(X1,X2,X3),X3)
| ~ member(X3,image2(X1,X2)) ),
i_0_42 ).
cnf(c_0_156,negated_conjecture,
image2(esk41_0,esk43_0) = esk45_0,
i_0_133 ).
cnf(c_0_157,negated_conjecture,
( apply(esk41_0,esk14_3(esk41_0,esk43_0,X1),X1)
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_158,plain,
( surjective(X1,X2,X3)
| member(esk40_3(X1,X2,X3),X3) ),
i_0_126 ).
cnf(c_0_159,negated_conjecture,
( apply(esk42_0,X1,X2)
| ~ member(X2,esk45_0)
| ~ member(X1,esk43_0)
| ~ apply(esk41_0,X1,X2) ),
i_0_131 ).
cnf(c_0_160,plain,
( surjective(X1,X2,esk45_0)
| apply(esk41_0,esk14_3(esk41_0,esk43_0,esk40_3(X1,X2,esk45_0)),esk40_3(X1,X2,esk45_0)) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_161,plain,
( member(esk14_3(X1,X2,X3),X2)
| ~ member(X3,image2(X1,X2)) ),
i_0_43 ).
cnf(c_0_162,negated_conjecture,
( surjective(X1,X2,esk45_0)
| apply(esk42_0,esk14_3(esk41_0,esk43_0,esk40_3(X1,X2,esk45_0)),esk40_3(X1,X2,esk45_0))
| ~ member(esk14_3(esk41_0,esk43_0,esk40_3(X1,X2,esk45_0)),esk43_0)
| ~ member(esk40_3(X1,X2,esk45_0),esk45_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_163,negated_conjecture,
( member(esk14_3(esk41_0,esk43_0,X1),esk43_0)
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_161,c_0_156]) ).
cnf(c_0_164,plain,
( surjective(X1,X2,esk45_0)
| apply(esk42_0,esk14_3(esk41_0,esk43_0,esk40_3(X1,X2,esk45_0)),esk40_3(X1,X2,esk45_0))
| ~ member(esk14_3(esk41_0,esk43_0,esk40_3(X1,X2,esk45_0)),esk43_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_158]) ).
cnf(c_0_165,plain,
( surjective(X1,X2,esk45_0)
| member(esk14_3(esk41_0,esk43_0,esk40_3(X1,X2,esk45_0)),esk43_0) ),
inference(spm,[status(thm)],[c_0_163,c_0_158]) ).
cnf(c_0_166,plain,
( surjective(X1,X2,X3)
| ~ member(X4,X2)
| ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
i_0_125 ).
cnf(c_0_167,plain,
( surjective(X1,X2,esk45_0)
| apply(esk42_0,esk14_3(esk41_0,esk43_0,esk40_3(X1,X2,esk45_0)),esk40_3(X1,X2,esk45_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
( apply(esk41_0,X1,X2)
| ~ member(X2,esk45_0)
| ~ member(X1,esk43_0)
| ~ apply(esk42_0,X1,X2) ),
i_0_132 ).
cnf(c_0_169,plain,
( injective(X1,X2,X3)
| apply(X1,esk20_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
i_0_59 ).
cnf(c_0_170,plain,
( surjective(esk42_0,X1,esk45_0)
| ~ member(esk14_3(esk41_0,esk43_0,esk40_3(esk42_0,X1,esk45_0)),X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_171,negated_conjecture,
( apply(esk41_0,esk20_3(esk42_0,X1,X2),esk22_3(esk42_0,X1,X2))
| injective(esk42_0,X1,X2)
| ~ member(esk22_3(esk42_0,X1,X2),esk45_0)
| ~ member(esk20_3(esk42_0,X1,X2),esk43_0) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_172,plain,
( injective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
i_0_60 ).
cnf(c_0_173,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
i_0_109 ).
cnf(c_0_174,plain,
surjective(esk42_0,esk43_0,esk45_0),
inference(spm,[status(thm)],[c_0_170,c_0_165]) ).
cnf(c_0_175,negated_conjecture,
~ one_to_one(esk42_0,esk43_0,esk45_0),
i_0_129 ).
cnf(c_0_176,plain,
( apply(esk41_0,esk20_3(esk42_0,X1,esk45_0),esk22_3(esk42_0,X1,esk45_0))
| injective(esk42_0,X1,esk45_0)
| ~ member(esk20_3(esk42_0,X1,esk45_0),esk43_0) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_177,plain,
( injective(X1,X2,X3)
| member(esk20_3(X1,X2,X3),X2) ),
i_0_62 ).
cnf(c_0_178,plain,
~ injective(esk42_0,esk43_0,esk45_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_179,plain,
( member(X1,image2(X2,X3))
| ~ member(X4,X3)
| ~ apply(X2,X4,X1) ),
i_0_41 ).
cnf(c_0_180,plain,
apply(esk41_0,esk20_3(esk42_0,esk43_0,esk45_0),esk22_3(esk42_0,esk43_0,esk45_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_181,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_182,negated_conjecture,
injective(esk41_0,esk43_0,esk44_0),
i_0_130 ).
cnf(c_0_183,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subset(X3,X2) ),
i_0_121 ).
cnf(c_0_184,negated_conjecture,
subset(esk45_0,esk44_0),
i_0_134 ).
cnf(c_0_185,plain,
( member(esk22_3(esk42_0,esk43_0,esk45_0),image2(esk41_0,X1))
| ~ member(esk20_3(esk42_0,esk43_0,esk45_0),X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_186,negated_conjecture,
( X1 = X2
| ~ apply(esk41_0,X2,X3)
| ~ apply(esk41_0,X1,X3)
| ~ member(X3,esk44_0)
| ~ member(X2,esk43_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_187,plain,
( apply(esk41_0,esk14_3(esk41_0,esk43_0,esk22_3(X1,X2,esk45_0)),esk22_3(X1,X2,esk45_0))
| injective(X1,X2,esk45_0) ),
inference(spm,[status(thm)],[c_0_157,c_0_172]) ).
cnf(c_0_188,negated_conjecture,
( member(X1,esk44_0)
| ~ member(X1,esk45_0) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_189,plain,
member(esk22_3(esk42_0,esk43_0,esk45_0),esk45_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_177]),c_0_156]),c_0_178]) ).
cnf(c_0_190,negated_conjecture,
( X1 = esk14_3(esk41_0,esk43_0,esk22_3(X2,X3,esk45_0))
| injective(X2,X3,esk45_0)
| ~ apply(esk41_0,X1,esk22_3(X2,X3,esk45_0))
| ~ member(esk14_3(esk41_0,esk43_0,esk22_3(X2,X3,esk45_0)),esk43_0)
| ~ member(esk22_3(X2,X3,esk45_0),esk44_0)
| ~ member(X1,esk43_0) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_191,negated_conjecture,
member(esk22_3(esk42_0,esk43_0,esk45_0),esk44_0),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_192,plain,
( injective(X1,X2,X3)
| apply(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3)) ),
i_0_58 ).
cnf(c_0_193,negated_conjecture,
( esk14_3(esk41_0,esk43_0,esk22_3(esk42_0,esk43_0,esk45_0)) = esk20_3(esk42_0,esk43_0,esk45_0)
| ~ member(esk14_3(esk41_0,esk43_0,esk22_3(esk42_0,esk43_0,esk45_0)),esk43_0)
| ~ member(esk20_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_180]),c_0_178]),c_0_191])]) ).
cnf(c_0_194,negated_conjecture,
member(esk14_3(esk41_0,esk43_0,esk22_3(esk42_0,esk43_0,esk45_0)),esk43_0),
inference(spm,[status(thm)],[c_0_163,c_0_189]) ).
cnf(c_0_195,negated_conjecture,
( apply(esk41_0,esk21_3(esk42_0,X1,X2),esk22_3(esk42_0,X1,X2))
| injective(esk42_0,X1,X2)
| ~ member(esk22_3(esk42_0,X1,X2),esk45_0)
| ~ member(esk21_3(esk42_0,X1,X2),esk43_0) ),
inference(spm,[status(thm)],[c_0_168,c_0_192]) ).
cnf(c_0_196,negated_conjecture,
( esk14_3(esk41_0,esk43_0,esk22_3(esk42_0,esk43_0,esk45_0)) = esk20_3(esk42_0,esk43_0,esk45_0)
| ~ member(esk20_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194])]) ).
cnf(c_0_197,negated_conjecture,
( apply(esk41_0,esk21_3(esk42_0,esk43_0,esk45_0),esk22_3(esk42_0,esk43_0,esk45_0))
| ~ member(esk21_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_189]),c_0_178]) ).
cnf(c_0_198,plain,
( injective(X1,X2,X3)
| member(esk21_3(X1,X2,X3),X2) ),
i_0_61 ).
cnf(c_0_199,plain,
esk14_3(esk41_0,esk43_0,esk22_3(esk42_0,esk43_0,esk45_0)) = esk20_3(esk42_0,esk43_0,esk45_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_177]),c_0_178]) ).
cnf(c_0_200,plain,
apply(esk41_0,esk21_3(esk42_0,esk43_0,esk45_0),esk22_3(esk42_0,esk43_0,esk45_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_178]) ).
cnf(c_0_201,negated_conjecture,
member(esk20_3(esk42_0,esk43_0,esk45_0),esk43_0),
inference(rw,[status(thm)],[c_0_194,c_0_199]) ).
cnf(c_0_202,negated_conjecture,
( esk21_3(esk42_0,esk43_0,esk45_0) = esk20_3(esk42_0,esk43_0,esk45_0)
| ~ member(esk21_3(esk42_0,esk43_0,esk45_0),esk43_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_200]),c_0_199]),c_0_199]),c_0_201]),c_0_191])]),c_0_178]) ).
cnf(c_0_203,plain,
( injective(X1,X2,X3)
| esk21_3(X1,X2,X3) != esk20_3(X1,X2,X3) ),
i_0_57 ).
cnf(c_0_204,plain,
esk21_3(esk42_0,esk43_0,esk45_0) = esk20_3(esk42_0,esk43_0,esk45_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_198]),c_0_178]) ).
cnf(c_0_205,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_178]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET732+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 22:44:29 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox/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
% 18.53/3.73 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 18.53/3.73 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 52; version: 991; iters: 150)
% 18.53/3.73 # Preprocessing time : 0.834 s
% 18.53/3.73 # Presaturation interreduction done
% 18.53/3.73
% 18.53/3.73 # Proof found!
% 18.53/3.73 # SZS status Theorem
% 18.53/3.73 # SZS output start CNFRefutation
% See solution above
% 18.53/3.73 # Training examples: 0 positive, 0 negative
% 18.53/3.73
% 18.53/3.73 # -------------------------------------------------
% 18.53/3.73 # User time : 1.328 s
% 18.53/3.73 # System time : 0.110 s
% 18.53/3.73 # Total time : 1.438 s
% 18.53/3.73 # ...preprocessing : 0.834 s
% 18.53/3.73 # ...main loop : 0.604 s
% 18.53/3.73 # Maximum resident set size: 167364 pages
% 18.53/3.73
%------------------------------------------------------------------------------