TSTP Solution File: SEU208+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU208+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 08:39:32 EDT 2022
% Result : Theorem 13.98s 3.17s
% Output : CNFRefutation 13.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 43 ( 12 unt; 7 nHn; 41 RR)
% Number of literals : 117 ( 14 equ; 72 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 : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 80 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_37,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_37) ).
cnf(i_0_4,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_4) ).
cnf(i_0_265,negated_conjecture,
( in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| in(unordered_pair(unordered_pair(esk62_0,esk65_0),unordered_pair(esk62_0,esk62_0)),esk64_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_265) ).
cnf(i_0_268,negated_conjecture,
relation(esk64_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_268) ).
cnf(i_0_39,plain,
( in(unordered_pair(unordered_pair(X1,esk10_4(X2,X3,X4,X1)),unordered_pair(X1,X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_39) ).
cnf(i_0_256,lemma,
( in(X1,relation_image(X2,X3))
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_256) ).
cnf(i_0_276,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-quoqn0ow/input.p',i_0_276) ).
cnf(i_0_264,negated_conjecture,
( in(esk65_0,esk63_0)
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_264) ).
cnf(i_0_267,negated_conjecture,
( ~ in(X1,esk63_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_267) ).
cnf(i_0_38,plain,
( in(esk10_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_38) ).
cnf(i_0_262,lemma,
( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-quoqn0ow/input.p',i_0_262) ).
cnf(c_0_288,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ relation(X3)
| ~ in(X5,X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),unordered_pair(X1,X1)),X3) ),
i_0_37 ).
cnf(c_0_289,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_4 ).
cnf(c_0_290,negated_conjecture,
( in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| in(unordered_pair(unordered_pair(esk62_0,esk65_0),unordered_pair(esk62_0,esk62_0)),esk64_0) ),
i_0_265 ).
cnf(c_0_291,plain,
( in(X1,X2)
| X2 != relation_inverse_image(X3,X4)
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X5)),X3)
| ~ in(X5,X4)
| ~ relation(X3) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_292,negated_conjecture,
( in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk65_0)),esk64_0)
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
inference(rw,[status(thm)],[c_0_290,c_0_289]) ).
cnf(c_0_293,negated_conjecture,
relation(esk64_0),
i_0_268 ).
cnf(c_0_294,plain,
( in(unordered_pair(unordered_pair(X1,esk10_4(X2,X3,X4,X1)),unordered_pair(X1,X1)),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2)
| ~ in(X1,X4) ),
i_0_39 ).
cnf(c_0_295,negated_conjecture,
( in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| in(esk62_0,X1)
| X1 != relation_inverse_image(esk64_0,X2)
| ~ in(esk65_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293])]) ).
cnf(c_0_296,lemma,
( in(X1,relation_image(X2,X3))
| ~ relation(X2)
| ~ in(X4,X3)
| ~ in(X4,relation_dom(X2))
| ~ in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2) ),
i_0_256 ).
cnf(c_0_297,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),X2) ),
i_0_276 ).
cnf(c_0_298,plain,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk10_4(X2,X3,X4,X1))),X2)
| X4 != relation_inverse_image(X2,X3)
| ~ in(X1,X4)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_294,c_0_289]) ).
cnf(c_0_299,negated_conjecture,
( in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| in(esk62_0,relation_inverse_image(esk64_0,X1))
| ~ in(esk65_0,X1) ),
inference(er,[status(thm)],[c_0_295]) ).
cnf(c_0_300,negated_conjecture,
( in(esk65_0,esk63_0)
| in(esk62_0,relation_inverse_image(esk64_0,esk63_0)) ),
i_0_264 ).
cnf(c_0_301,lemma,
( in(X1,relation_image(X2,X3))
| ~ in(unordered_pair(unordered_pair(X4,X1),unordered_pair(X4,X4)),X2)
| ~ in(X4,X3)
| ~ relation(X2) ),
inference(csr,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_302,plain,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk10_4(X2,X3,relation_inverse_image(X2,X3),X1))),X2)
| ~ in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2) ),
inference(er,[status(thm)],[c_0_298]) ).
cnf(c_0_303,negated_conjecture,
in(esk62_0,relation_inverse_image(esk64_0,esk63_0)),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_304,negated_conjecture,
( ~ in(X1,esk63_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(esk62_0,relation_inverse_image(esk64_0,esk63_0))
| ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0) ),
i_0_267 ).
cnf(c_0_305,plain,
( in(esk10_4(X1,X2,X3,X4),X2)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1)
| ~ in(X4,X3) ),
i_0_38 ).
cnf(c_0_306,plain,
( in(X1,relation_image(X2,X3))
| ~ in(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,X1)),X2)
| ~ in(X4,X3)
| ~ relation(X2) ),
inference(spm,[status(thm)],[c_0_301,c_0_289]) ).
cnf(c_0_307,plain,
in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0))),esk64_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_293])]) ).
cnf(c_0_308,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_297,c_0_289]) ).
cnf(c_0_309,negated_conjecture,
( ~ in(unordered_pair(unordered_pair(esk62_0,X1),unordered_pair(esk62_0,esk62_0)),esk64_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(X1,esk63_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_303])]) ).
cnf(c_0_310,plain,
( in(esk10_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ in(X3,relation_inverse_image(X1,X2))
| ~ relation(X1) ),
inference(er,[status(thm)],[c_0_305]) ).
cnf(c_0_311,plain,
( in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_image(esk64_0,X1))
| ~ in(esk62_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_293])]) ).
cnf(c_0_312,plain,
in(esk62_0,relation_dom(esk64_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_307]),c_0_293])]) ).
cnf(c_0_313,lemma,
( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
| ~ relation(X1) ),
i_0_262 ).
cnf(c_0_314,plain,
( ~ in(unordered_pair(unordered_pair(esk62_0,esk62_0),unordered_pair(esk62_0,X1)),esk64_0)
| ~ in(X1,relation_rng(esk64_0))
| ~ in(X1,esk63_0) ),
inference(spm,[status(thm)],[c_0_309,c_0_289]) ).
cnf(c_0_315,plain,
in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),esk63_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_303]),c_0_293])]) ).
cnf(c_0_316,plain,
in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_image(esk64_0,relation_dom(esk64_0))),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_317,negated_conjecture,
relation_image(esk64_0,relation_dom(esk64_0)) = relation_rng(esk64_0),
inference(spm,[status(thm)],[c_0_313,c_0_293]) ).
cnf(c_0_318,plain,
~ in(esk10_4(esk64_0,esk63_0,relation_inverse_image(esk64_0,esk63_0),esk62_0),relation_rng(esk64_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_307]),c_0_315])]) ).
cnf(c_0_319,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_317]),c_0_318]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU208+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 04:41:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 13.98/3.17 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 13.98/3.17 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 13.98/3.17 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 60; version: 991; iters: 150)
% 13.98/3.17 # Preprocessing time : 0.716 s
% 13.98/3.17
% 13.98/3.17 # Proof found!
% 13.98/3.17 # SZS status Theorem
% 13.98/3.17 # SZS output start CNFRefutation
% See solution above
% 13.98/3.17 # Training examples: 0 positive, 0 negative
% 13.98/3.17
% 13.98/3.17 # -------------------------------------------------
% 13.98/3.17 # User time : 0.753 s
% 13.98/3.17 # System time : 0.099 s
% 13.98/3.17 # Total time : 0.852 s
% 13.98/3.17 # ...preprocessing : 0.716 s
% 13.98/3.17 # ...main loop : 0.137 s
% 13.98/3.17 # Maximum resident set size: 152544 pages
% 13.98/3.17
%------------------------------------------------------------------------------