TSTP Solution File: SEU211+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU211+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 08:39:34 EDT 2022
% Result : Theorem 18.38s 3.85s
% Output : CNFRefutation 18.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 9 unt; 2 nHn; 28 RR)
% Number of literals : 80 ( 2 equ; 48 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_264,lemma,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_264) ).
cnf(i_0_279,lemma,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_279) ).
cnf(i_0_4,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/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/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_266) ).
cnf(i_0_94,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_94) ).
cnf(i_0_271,negated_conjecture,
subset(esk63_0,esk64_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_271) ).
cnf(i_0_265,lemma,
( in(esk62_3(X1,X2,X3),X2)
| ~ relation(X3)
| ~ in(X1,relation_inverse_image(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_265) ).
cnf(i_0_92,plain,
( subset(X1,X2)
| ~ in(esk33_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_92) ).
cnf(i_0_93,plain,
( subset(X1,X2)
| in(esk33_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_93) ).
cnf(i_0_270,negated_conjecture,
~ subset(relation_inverse_image(esk65_0,esk63_0),relation_inverse_image(esk65_0,esk64_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_270) ).
cnf(i_0_272,negated_conjecture,
relation(esk65_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-587njt59/input.p',i_0_272) ).
cnf(c_0_291,lemma,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_rng(X2))
| ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X2) ),
i_0_264 ).
cnf(c_0_292,lemma,
( in(X1,relation_rng(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),X2) ),
i_0_279 ).
cnf(c_0_293,lemma,
( in(X1,relation_inverse_image(X2,X3))
| ~ in(unordered_pair(unordered_pair(X1,X4),unordered_pair(X1,X1)),X2)
| ~ in(X4,X3)
| ~ relation(X2) ),
inference(csr,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_294,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_4 ).
cnf(c_0_295,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_296,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X4)),X2)
| ~ in(X4,X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_297,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_295,c_0_294]) ).
cnf(c_0_298,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_94 ).
cnf(c_0_299,negated_conjecture,
subset(esk63_0,esk64_0),
i_0_271 ).
cnf(c_0_300,lemma,
( in(X1,relation_inverse_image(X2,X3))
| ~ in(esk62_3(X1,X4,X2),X3)
| ~ in(X1,relation_inverse_image(X2,X4))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_301,negated_conjecture,
( in(X1,esk64_0)
| ~ in(X1,esk63_0) ),
inference(spm,[status(thm)],[c_0_298,c_0_299]) ).
cnf(c_0_302,negated_conjecture,
( in(X1,relation_inverse_image(X2,esk64_0))
| ~ in(esk62_3(X1,X3,X2),esk63_0)
| ~ in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_303,lemma,
( in(esk62_3(X1,X2,X3),X2)
| ~ relation(X3)
| ~ in(X1,relation_inverse_image(X3,X2)) ),
i_0_265 ).
cnf(c_0_304,plain,
( subset(X1,X2)
| ~ in(esk33_2(X1,X2),X2) ),
i_0_92 ).
cnf(c_0_305,lemma,
( in(X1,relation_inverse_image(X2,esk64_0))
| ~ in(X1,relation_inverse_image(X2,esk63_0))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_306,plain,
( subset(X1,relation_inverse_image(X2,esk64_0))
| ~ in(esk33_2(X1,relation_inverse_image(X2,esk64_0)),relation_inverse_image(X2,esk63_0))
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_307,plain,
( subset(X1,X2)
| in(esk33_2(X1,X2),X1) ),
i_0_93 ).
cnf(c_0_308,negated_conjecture,
~ subset(relation_inverse_image(esk65_0,esk63_0),relation_inverse_image(esk65_0,esk64_0)),
i_0_270 ).
cnf(c_0_309,plain,
( subset(relation_inverse_image(X1,esk63_0),relation_inverse_image(X1,esk64_0))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_306,c_0_307]) ).
cnf(c_0_310,negated_conjecture,
relation(esk65_0),
i_0_272 ).
cnf(c_0_311,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU211+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 23:38:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 18.38/3.85 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 18.38/3.85 # 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: 33; version: 991; iters: 150)
% 18.38/3.85 # Preprocessing time : 1.258 s
% 18.38/3.85
% 18.38/3.85 # Proof found!
% 18.38/3.85 # SZS status Theorem
% 18.38/3.85 # SZS output start CNFRefutation
% See solution above
% 18.38/3.85 # Training examples: 0 positive, 0 negative
% 18.38/3.85
% 18.38/3.85 # -------------------------------------------------
% 18.38/3.85 # User time : 1.138 s
% 18.38/3.85 # System time : 0.155 s
% 18.38/3.85 # Total time : 1.293 s
% 18.38/3.85 # ...preprocessing : 1.258 s
% 18.38/3.85 # ...main loop : 0.035 s
% 18.38/3.85 # Maximum resident set size: 174972 pages
% 18.38/3.85
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