TSTP Solution File: SEU203+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU203+2 : TPTP v8.1.0. Released v3.3.0.
% 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 08:39:29 EDT 2022
% Result : Theorem 16.98s 3.54s
% Output : CNFRefutation 16.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 9 unt; 7 nHn; 31 RR)
% Number of literals : 90 ( 11 equ; 54 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 61 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_31,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_31) ).
cnf(i_0_4,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_4) ).
cnf(i_0_250,negated_conjecture,
( in(esk58_0,relation_image(esk60_0,esk59_0))
| in(unordered_pair(unordered_pair(esk61_0,esk58_0),unordered_pair(esk61_0,esk61_0)),esk60_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_250) ).
cnf(i_0_253,negated_conjecture,
relation(esk60_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_253) ).
cnf(i_0_33,plain,
( in(unordered_pair(unordered_pair(esk7_4(X1,X2,X3,X4),X4),unordered_pair(esk7_4(X1,X2,X3,X4),esk7_4(X1,X2,X3,X4))),X1)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_33) ).
cnf(i_0_249,negated_conjecture,
( in(esk61_0,esk59_0)
| in(esk58_0,relation_image(esk60_0,esk59_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_249) ).
cnf(i_0_252,negated_conjecture,
( ~ in(X1,esk59_0)
| ~ in(X1,relation_dom(esk60_0))
| ~ in(esk58_0,relation_image(esk60_0,esk59_0))
| ~ in(unordered_pair(unordered_pair(X1,esk58_0),unordered_pair(X1,X1)),esk60_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_252) ).
cnf(i_0_32,plain,
( in(esk7_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_32) ).
cnf(i_0_261,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bzwwpxok/input.p',i_0_261) ).
cnf(c_0_271,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X5,X1),unordered_pair(X5,X5)),X3) ),
i_0_31 ).
cnf(c_0_272,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_4 ).
cnf(c_0_273,negated_conjecture,
( in(esk58_0,relation_image(esk60_0,esk59_0))
| in(unordered_pair(unordered_pair(esk61_0,esk58_0),unordered_pair(esk61_0,esk61_0)),esk60_0) ),
i_0_250 ).
cnf(c_0_274,plain,
( in(X1,X2)
| X2 != relation_image(X3,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X5,X5)),X3)
| ~ in(X5,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_275,negated_conjecture,
( in(unordered_pair(unordered_pair(esk58_0,esk61_0),unordered_pair(esk61_0,esk61_0)),esk60_0)
| in(esk58_0,relation_image(esk60_0,esk59_0)) ),
inference(rw,[status(thm)],[c_0_273,c_0_272]) ).
cnf(c_0_276,negated_conjecture,
relation(esk60_0),
i_0_253 ).
cnf(c_0_277,negated_conjecture,
( in(esk58_0,relation_image(esk60_0,esk59_0))
| in(esk58_0,X1)
| X1 != relation_image(esk60_0,X2)
| ~ in(esk61_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276])]) ).
cnf(c_0_278,plain,
( in(unordered_pair(unordered_pair(esk7_4(X1,X2,X3,X4),X4),unordered_pair(esk7_4(X1,X2,X3,X4),esk7_4(X1,X2,X3,X4))),X1)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_33 ).
cnf(c_0_279,negated_conjecture,
( in(esk58_0,relation_image(esk60_0,esk59_0))
| in(esk58_0,relation_image(esk60_0,X1))
| ~ in(esk61_0,X1) ),
inference(er,[status(thm)],[c_0_277]) ).
cnf(c_0_280,negated_conjecture,
( in(esk61_0,esk59_0)
| in(esk58_0,relation_image(esk60_0,esk59_0)) ),
i_0_249 ).
cnf(c_0_281,plain,
( in(unordered_pair(unordered_pair(X1,esk7_4(X2,X3,X4,X1)),unordered_pair(esk7_4(X2,X3,X4,X1),esk7_4(X2,X3,X4,X1))),X2)
| X4 != relation_image(X2,X3)
| ~ in(X1,X4)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_278,c_0_272]) ).
cnf(c_0_282,negated_conjecture,
( ~ in(X1,esk59_0)
| ~ in(X1,relation_dom(esk60_0))
| ~ in(esk58_0,relation_image(esk60_0,esk59_0))
| ~ in(unordered_pair(unordered_pair(X1,esk58_0),unordered_pair(X1,X1)),esk60_0) ),
i_0_252 ).
cnf(c_0_283,negated_conjecture,
in(esk58_0,relation_image(esk60_0,esk59_0)),
inference(spm,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_284,plain,
( in(esk7_4(X1,X2,X3,X4),X2)
| X3 != relation_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_32 ).
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_261 ).
cnf(c_0_286,plain,
( in(unordered_pair(unordered_pair(X1,esk7_4(X2,X3,relation_image(X2,X3),X1)),unordered_pair(esk7_4(X2,X3,relation_image(X2,X3),X1),esk7_4(X2,X3,relation_image(X2,X3),X1))),X2)
| ~ in(X1,relation_image(X2,X3))
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_281]) ).
cnf(c_0_287,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(X1,esk58_0),unordered_pair(X1,X1)),esk60_0)
| ~ in(X1,relation_dom(esk60_0))
| ~ in(X1,esk59_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_283])]) ).
cnf(c_0_288,plain,
( in(esk7_4(X1,X2,relation_image(X1,X2),X3),X2)
| ~ in(X3,relation_image(X1,X2))
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_284]) ).
cnf(c_0_289,plain,
( in(X1,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X1,X1)),X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_285,c_0_272]) ).
cnf(c_0_290,plain,
in(unordered_pair(unordered_pair(esk58_0,esk7_4(esk60_0,esk59_0,relation_image(esk60_0,esk59_0),esk58_0)),unordered_pair(esk7_4(esk60_0,esk59_0,relation_image(esk60_0,esk59_0),esk58_0),esk7_4(esk60_0,esk59_0,relation_image(esk60_0,esk59_0),esk58_0))),esk60_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_283]),c_0_276])]) ).
cnf(c_0_291,plain,
( ~ in(unordered_pair(unordered_pair(esk58_0,X1),unordered_pair(X1,X1)),esk60_0)
| ~ in(X1,relation_dom(esk60_0))
| ~ in(X1,esk59_0) ),
inference(spm,[status(thm)],[c_0_287,c_0_272]) ).
cnf(c_0_292,plain,
in(esk7_4(esk60_0,esk59_0,relation_image(esk60_0,esk59_0),esk58_0),esk59_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_283]),c_0_276])]) ).
cnf(c_0_293,plain,
in(esk7_4(esk60_0,esk59_0,relation_image(esk60_0,esk59_0),esk58_0),relation_dom(esk60_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_276])]) ).
cnf(c_0_294,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_290]),c_0_292])]),c_0_293])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU203+2 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 19 21:59:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 16.98/3.54 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 16.98/3.54 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 16.98/3.54 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 61; version: 991; iters: 150)
% 16.98/3.54 # Preprocessing time : 1.042 s
% 16.98/3.54
% 16.98/3.54 # Proof found!
% 16.98/3.54 # SZS status Theorem
% 16.98/3.54 # SZS output start CNFRefutation
% See solution above
% 16.98/3.54 # Training examples: 0 positive, 0 negative
% 16.98/3.54
% 16.98/3.54 # -------------------------------------------------
% 16.98/3.54 # User time : 0.965 s
% 16.98/3.54 # System time : 0.109 s
% 16.98/3.54 # Total time : 1.074 s
% 16.98/3.54 # ...preprocessing : 1.042 s
% 16.98/3.54 # ...main loop : 0.033 s
% 16.98/3.54 # Maximum resident set size: 153504 pages
% 16.98/3.54
%------------------------------------------------------------------------------