TSTP Solution File: SEU050+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU050+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:38:12 EDT 2022
% Result : Theorem 22.13s 4.23s
% Output : CNFRefutation 22.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of clauses : 43 ( 15 unt; 20 nHn; 23 RR)
% Number of literals : 131 ( 77 equ; 45 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 97 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
( X1 = X2
| X1 = X3
| X4 != unordered_pair(X3,X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_21) ).
cnf(i_0_9,plain,
( X1 = relation_image(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk3_3(X2,X3,X1),X3)
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_9) ).
cnf(i_0_59,negated_conjecture,
relation(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_59) ).
cnf(i_0_58,negated_conjecture,
function(esk18_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_58) ).
cnf(i_0_8,plain,
( X1 = relation_image(X2,X3)
| apply(X2,esk3_3(X2,X3,X1)) = esk2_3(X2,X3,X1)
| in(esk2_3(X2,X3,X1),X1)
| ~ function(X2)
| ~ relation(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_8) ).
cnf(i_0_19,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_19) ).
cnf(i_0_11,plain,
( X1 = relation_image(X2,X3)
| esk2_3(X2,X3,X1) != apply(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_dom(X2))
| ~ in(esk2_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_11) ).
cnf(i_0_7,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_7) ).
cnf(i_0_55,negated_conjecture,
unordered_pair(apply(esk18_0,esk16_0),apply(esk18_0,esk17_0)) != relation_image(esk18_0,unordered_pair(esk16_0,esk17_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_55) ).
cnf(i_0_57,negated_conjecture,
in(esk16_0,relation_dom(esk18_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_57) ).
cnf(i_0_56,negated_conjecture,
in(esk17_0,relation_dom(esk18_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-v9vpmvno/input.p',i_0_56) ).
cnf(c_0_71,plain,
( X1 = X2
| X1 = X3
| X4 != unordered_pair(X3,X2)
| ~ in(X1,X4) ),
i_0_21 ).
cnf(c_0_72,plain,
( X1 = relation_image(X2,X3)
| in(esk2_3(X2,X3,X1),X1)
| in(esk3_3(X2,X3,X1),X3)
| ~ function(X2)
| ~ relation(X2) ),
i_0_9 ).
cnf(c_0_73,negated_conjecture,
relation(esk18_0),
i_0_59 ).
cnf(c_0_74,negated_conjecture,
function(esk18_0),
i_0_58 ).
cnf(c_0_75,plain,
( X1 = relation_image(X2,X3)
| apply(X2,esk3_3(X2,X3,X1)) = esk2_3(X2,X3,X1)
| in(esk2_3(X2,X3,X1),X1)
| ~ function(X2)
| ~ relation(X2) ),
i_0_8 ).
cnf(c_0_76,plain,
( X1 = X2
| X1 = X3
| ~ in(X1,unordered_pair(X2,X3)) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( X1 = relation_image(esk18_0,X2)
| in(esk2_3(esk18_0,X2,X1),X1)
| in(esk3_3(esk18_0,X2,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_78,negated_conjecture,
( apply(esk18_0,esk3_3(esk18_0,X1,X2)) = esk2_3(esk18_0,X1,X2)
| X2 = relation_image(esk18_0,X1)
| in(esk2_3(esk18_0,X1,X2),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_73]),c_0_74])]) ).
cnf(c_0_79,plain,
( esk3_3(esk18_0,unordered_pair(X1,X2),X3) = X2
| esk3_3(esk18_0,unordered_pair(X1,X2),X3) = X1
| X3 = relation_image(esk18_0,unordered_pair(X1,X2))
| in(esk2_3(esk18_0,unordered_pair(X1,X2),X3),X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,plain,
( apply(esk18_0,esk3_3(esk18_0,X1,unordered_pair(X2,X3))) = esk2_3(esk18_0,X1,unordered_pair(X2,X3))
| esk2_3(esk18_0,X1,unordered_pair(X2,X3)) = X3
| esk2_3(esk18_0,X1,unordered_pair(X2,X3)) = X2
| unordered_pair(X2,X3) = relation_image(esk18_0,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_78]) ).
cnf(c_0_81,plain,
( esk3_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X1
| esk3_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X2
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X4
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X3
| unordered_pair(X3,X4) = relation_image(esk18_0,unordered_pair(X1,X2)) ),
inference(spm,[status(thm)],[c_0_76,c_0_79]) ).
cnf(c_0_82,plain,
( esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = apply(esk18_0,X2)
| esk3_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X1
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X3
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X4
| unordered_pair(X3,X4) = relation_image(esk18_0,unordered_pair(X1,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_83,plain,
( esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = apply(esk18_0,X2)
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = apply(esk18_0,X1)
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X3
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X4
| unordered_pair(X3,X4) = relation_image(esk18_0,unordered_pair(X1,X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_82]) ).
cnf(c_0_84,plain,
( esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = apply(esk18_0,X1)
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X4
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,X4)) = X3
| unordered_pair(X3,X4) = relation_image(esk18_0,unordered_pair(X1,X2))
| apply(esk18_0,X2) != X4 ),
inference(ef,[status(thm)],[c_0_83]) ).
cnf(c_0_85,plain,
( esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,apply(esk18_0,X2))) = apply(esk18_0,X2)
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,apply(esk18_0,X2))) = apply(esk18_0,X1)
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,apply(esk18_0,X2))) = X3
| unordered_pair(X3,apply(esk18_0,X2)) = relation_image(esk18_0,unordered_pair(X1,X2)) ),
inference(er,[status(thm)],[c_0_84]) ).
cnf(c_0_86,plain,
( in(X1,X2)
| X1 != X3
| X2 != unordered_pair(X4,X3) ),
i_0_19 ).
cnf(c_0_87,plain,
( esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,apply(esk18_0,X2))) = apply(esk18_0,X2)
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(X3,apply(esk18_0,X2))) = X3
| unordered_pair(X3,apply(esk18_0,X2)) = relation_image(esk18_0,unordered_pair(X1,X2))
| apply(esk18_0,X1) != X3 ),
inference(ef,[status(thm)],[c_0_85]) ).
cnf(c_0_88,plain,
( in(X1,X2)
| X2 != unordered_pair(X3,X1) ),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_89,plain,
( X1 = relation_image(X2,X3)
| esk2_3(X2,X3,X1) != apply(X2,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_dom(X2))
| ~ in(esk2_3(X2,X3,X1),X1) ),
i_0_11 ).
cnf(c_0_90,plain,
( esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2))) = apply(esk18_0,X1)
| esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2))) = apply(esk18_0,X2)
| unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2)) = relation_image(esk18_0,unordered_pair(X1,X2)) ),
inference(er,[status(thm)],[c_0_87]) ).
cnf(c_0_91,plain,
in(X1,unordered_pair(X2,X1)),
inference(er,[status(thm)],[c_0_88]) ).
cnf(c_0_92,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_7 ).
cnf(c_0_93,plain,
( esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2))) = apply(esk18_0,X1)
| unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2)) = relation_image(esk18_0,unordered_pair(X1,X2))
| apply(esk18_0,X2) != apply(esk18_0,X3)
| ~ in(X3,relation_dom(esk18_0))
| ~ in(X3,unordered_pair(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_73]),c_0_74])]) ).
cnf(c_0_94,plain,
( in(X1,X2)
| X2 != unordered_pair(X1,X3) ),
inference(spm,[status(thm)],[c_0_88,c_0_92]) ).
cnf(c_0_95,plain,
( esk2_3(esk18_0,unordered_pair(X1,X2),unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2))) = apply(esk18_0,X1)
| unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2)) = relation_image(esk18_0,unordered_pair(X1,X2))
| ~ in(X2,relation_dom(esk18_0)) ),
inference(spm,[status(thm)],[c_0_93,c_0_91]) ).
cnf(c_0_96,plain,
in(X1,unordered_pair(X1,X2)),
inference(er,[status(thm)],[c_0_94]) ).
cnf(c_0_97,plain,
( unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2)) = relation_image(esk18_0,unordered_pair(X1,X2))
| apply(esk18_0,X1) != apply(esk18_0,X3)
| ~ in(X3,relation_dom(esk18_0))
| ~ in(X3,unordered_pair(X1,X2))
| ~ in(X2,relation_dom(esk18_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_95]),c_0_96]),c_0_73]),c_0_74])]) ).
cnf(c_0_98,negated_conjecture,
unordered_pair(apply(esk18_0,esk16_0),apply(esk18_0,esk17_0)) != relation_image(esk18_0,unordered_pair(esk16_0,esk17_0)),
i_0_55 ).
cnf(c_0_99,plain,
( unordered_pair(apply(esk18_0,X1),apply(esk18_0,X2)) = relation_image(esk18_0,unordered_pair(X1,X2))
| ~ in(X1,relation_dom(esk18_0))
| ~ in(X2,relation_dom(esk18_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
in(esk16_0,relation_dom(esk18_0)),
i_0_57 ).
cnf(c_0_101,negated_conjecture,
in(esk17_0,relation_dom(esk18_0)),
i_0_56 ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU050+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n005.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 Jun 19 00:59:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 22.13/4.23 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 22.13/4.23 # 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: 40; version: 991; iters: 150)
% 22.13/4.23 # Preprocessing time : 1.121 s
% 22.13/4.23
% 22.13/4.23 # Proof found!
% 22.13/4.23 # SZS status Theorem
% 22.13/4.23 # SZS output start CNFRefutation
% See solution above
% 22.13/4.23 # Training examples: 0 positive, 0 negative
% 22.13/4.23
% 22.13/4.23 # -------------------------------------------------
% 22.13/4.23 # User time : 1.798 s
% 22.13/4.23 # System time : 0.146 s
% 22.13/4.23 # Total time : 1.944 s
% 22.13/4.23 # ...preprocessing : 1.121 s
% 22.13/4.23 # ...main loop : 0.822 s
% 22.13/4.23 # Maximum resident set size: 177800 pages
% 22.13/4.23
%------------------------------------------------------------------------------