TSTP Solution File: SEU255+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU255+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:40:08 EDT 2022
% Result : Theorem 22.89s 4.48s
% Output : CNFRefutation 22.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 9 unt; 9 nHn; 20 RR)
% Number of literals : 71 ( 8 equ; 36 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_356,lemma,
( antisymmetric(X1)
| in(unordered_pair(unordered_pair(esk82_1(X1),esk83_1(X1)),unordered_pair(esk82_1(X1),esk82_1(X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_356) ).
cnf(i_0_14,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_14) ).
cnf(i_0_355,lemma,
( antisymmetric(X1)
| in(unordered_pair(unordered_pair(esk83_1(X1),esk82_1(X1)),unordered_pair(esk83_1(X1),esk83_1(X1))),X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_355) ).
cnf(i_0_357,lemma,
( X1 = X2
| ~ relation(X3)
| ~ antisymmetric(X3)
| ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_357) ).
cnf(i_0_461,lemma,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_461) ).
cnf(i_0_263,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_263) ).
cnf(i_0_354,lemma,
( antisymmetric(X1)
| esk83_1(X1) != esk82_1(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_354) ).
cnf(i_0_493,negated_conjecture,
~ antisymmetric(relation_restriction(esk105_0,esk104_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_493) ).
cnf(i_0_494,negated_conjecture,
antisymmetric(esk105_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_494) ).
cnf(i_0_495,negated_conjecture,
relation(esk105_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zoyu5il/input.p',i_0_495) ).
cnf(c_0_506,lemma,
( antisymmetric(X1)
| in(unordered_pair(unordered_pair(esk82_1(X1),esk83_1(X1)),unordered_pair(esk82_1(X1),esk82_1(X1))),X1)
| ~ relation(X1) ),
i_0_356 ).
cnf(c_0_507,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_14 ).
cnf(c_0_508,lemma,
( antisymmetric(X1)
| in(unordered_pair(unordered_pair(esk83_1(X1),esk82_1(X1)),unordered_pair(esk83_1(X1),esk83_1(X1))),X1)
| ~ relation(X1) ),
i_0_355 ).
cnf(c_0_509,lemma,
( X1 = X2
| ~ relation(X3)
| ~ antisymmetric(X3)
| ~ in(unordered_pair(unordered_pair(X2,X1),unordered_pair(X2,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3) ),
i_0_357 ).
cnf(c_0_510,lemma,
( in(X1,X2)
| ~ relation(X2)
| ~ in(X1,relation_restriction(X2,X3)) ),
i_0_461 ).
cnf(c_0_511,lemma,
( in(unordered_pair(unordered_pair(esk83_1(X1),esk82_1(X1)),unordered_pair(esk82_1(X1),esk82_1(X1))),X1)
| antisymmetric(X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_506,c_0_507]) ).
cnf(c_0_512,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
i_0_263 ).
cnf(c_0_513,lemma,
( in(unordered_pair(unordered_pair(esk83_1(X1),esk83_1(X1)),unordered_pair(esk83_1(X1),esk82_1(X1))),X1)
| antisymmetric(X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[c_0_508,c_0_507]) ).
cnf(c_0_514,lemma,
( X1 = X2
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X2,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1)),X3)
| ~ antisymmetric(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_509,c_0_507]) ).
cnf(c_0_515,lemma,
( in(unordered_pair(unordered_pair(esk83_1(relation_restriction(X1,X2)),esk82_1(relation_restriction(X1,X2))),unordered_pair(esk82_1(relation_restriction(X1,X2)),esk82_1(relation_restriction(X1,X2)))),X1)
| antisymmetric(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_511]),c_0_512]) ).
cnf(c_0_516,lemma,
( in(unordered_pair(unordered_pair(esk83_1(relation_restriction(X1,X2)),esk83_1(relation_restriction(X1,X2))),unordered_pair(esk83_1(relation_restriction(X1,X2)),esk82_1(relation_restriction(X1,X2)))),X1)
| antisymmetric(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_513]),c_0_512]) ).
cnf(c_0_517,lemma,
( antisymmetric(X1)
| esk83_1(X1) != esk82_1(X1)
| ~ relation(X1) ),
i_0_354 ).
cnf(c_0_518,lemma,
( esk82_1(relation_restriction(X1,X2)) = esk83_1(relation_restriction(X1,X2))
| antisymmetric(relation_restriction(X1,X2))
| ~ antisymmetric(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_515]),c_0_507]),c_0_516]) ).
cnf(c_0_519,negated_conjecture,
~ antisymmetric(relation_restriction(esk105_0,esk104_0)),
i_0_493 ).
cnf(c_0_520,lemma,
( antisymmetric(relation_restriction(X1,X2))
| ~ antisymmetric(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_518]),c_0_512]) ).
cnf(c_0_521,negated_conjecture,
antisymmetric(esk105_0),
i_0_494 ).
cnf(c_0_522,negated_conjecture,
relation(esk105_0),
i_0_495 ).
cnf(c_0_523,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_520]),c_0_521]),c_0_522])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU255+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 Jun 19 15:18:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 22.89/4.48 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 22.89/4.48 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 22.89/4.48 # Preprocessing time : 1.248 s
% 22.89/4.48
% 22.89/4.48 # Proof found!
% 22.89/4.48 # SZS status Theorem
% 22.89/4.48 # SZS output start CNFRefutation
% See solution above
% 22.89/4.48 # Training examples: 0 positive, 0 negative
% 22.89/4.48
% 22.89/4.48 # -------------------------------------------------
% 22.89/4.48 # User time : 1.643 s
% 22.89/4.48 # System time : 0.143 s
% 22.89/4.48 # Total time : 1.786 s
% 22.89/4.48 # ...preprocessing : 1.248 s
% 22.89/4.48 # ...main loop : 0.538 s
% 22.89/4.48 # Maximum resident set size: 176292 pages
% 22.89/4.48
%------------------------------------------------------------------------------