TSTP Solution File: SEU209+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU209+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 08:39:33 EDT 2022
% Result : Theorem 18.74s 3.75s
% Output : CNFRefutation 18.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 7 unt; 3 nHn; 14 RR)
% Number of literals : 41 ( 2 equ; 20 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 38 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_277,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdkw5zlf/input.p',i_0_277) ).
cnf(i_0_4,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdkw5zlf/input.p',i_0_4) ).
cnf(i_0_266,lemma,
( in(unordered_pair(unordered_pair(X1,esk62_3(X1,X2,X3)),unordered_pair(X1,X1)),X3)
| ~ relation(X3)
| ~ in(X1,relation_inverse_image(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdkw5zlf/input.p',i_0_266) ).
cnf(i_0_93,plain,
( subset(X1,X2)
| in(esk33_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdkw5zlf/input.p',i_0_93) ).
cnf(i_0_92,plain,
( subset(X1,X2)
| ~ in(esk33_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdkw5zlf/input.p',i_0_92) ).
cnf(i_0_268,negated_conjecture,
~ subset(relation_inverse_image(esk64_0,esk63_0),relation_dom(esk64_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdkw5zlf/input.p',i_0_268) ).
cnf(i_0_269,negated_conjecture,
relation(esk64_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tdkw5zlf/input.p',i_0_269) ).
cnf(c_0_285,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
i_0_277 ).
cnf(c_0_286,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_4 ).
cnf(c_0_287,lemma,
( in(unordered_pair(unordered_pair(X1,esk62_3(X1,X2,X3)),unordered_pair(X1,X1)),X3)
| ~ relation(X3)
| ~ in(X1,relation_inverse_image(X3,X2)) ),
i_0_266 ).
cnf(c_0_288,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X3)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_289,lemma,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk62_3(X1,X2,X3))),X3)
| ~ in(X1,relation_inverse_image(X3,X2))
| ~ relation(X3) ),
inference(rw,[status(thm)],[c_0_287,c_0_286]) ).
cnf(c_0_290,lemma,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_291,plain,
( subset(X1,X2)
| in(esk33_2(X1,X2),X1) ),
i_0_93 ).
cnf(c_0_292,plain,
( subset(X1,X2)
| ~ in(esk33_2(X1,X2),X2) ),
i_0_92 ).
cnf(c_0_293,plain,
( in(esk33_2(relation_inverse_image(X1,X2),X3),relation_dom(X1))
| subset(relation_inverse_image(X1,X2),X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_294,negated_conjecture,
~ subset(relation_inverse_image(esk64_0,esk63_0),relation_dom(esk64_0)),
i_0_268 ).
cnf(c_0_295,plain,
( subset(relation_inverse_image(X1,X2),relation_dom(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_296,negated_conjecture,
relation(esk64_0),
i_0_269 ).
cnf(c_0_297,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU209+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n024.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 Jun 19 01:40:04 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 18.74/3.75 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 18.74/3.75 # 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)
% 18.74/3.75 # Preprocessing time : 1.188 s
% 18.74/3.75
% 18.74/3.75 # Proof found!
% 18.74/3.75 # SZS status Theorem
% 18.74/3.75 # SZS output start CNFRefutation
% See solution above
% 18.74/3.75 # Training examples: 0 positive, 0 negative
% 18.74/3.75
% 18.74/3.75 # -------------------------------------------------
% 18.74/3.75 # User time : 1.053 s
% 18.74/3.75 # System time : 0.142 s
% 18.74/3.75 # Total time : 1.195 s
% 18.74/3.75 # ...preprocessing : 1.188 s
% 18.74/3.75 # ...main loop : 0.007 s
% 18.74/3.75 # Maximum resident set size: 178456 pages
% 18.74/3.75
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