TSTP Solution File: SEU194+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU194+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 08:39:24 EDT 2022
% Result : Theorem 37.74s 6.20s
% Output : CNFRefutation 37.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 11 unt; 10 nHn; 24 RR)
% Number of literals : 72 ( 14 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 50 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_317,negated_conjecture,
set_difference(relation_dom(esk57_0),set_difference(relation_dom(esk57_0),esk56_0)) != relation_dom(relation_dom_restriction(esk57_0,esk56_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_317) ).
cnf(i_0_6,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_6) ).
cnf(i_0_73,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk24_3(X2,X3,X1),X1)
| in(esk24_3(X2,X3,X1),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_73) ).
cnf(i_0_310,lemma,
( in(X1,relation_dom(relation_dom_restriction(X2,X3)))
| ~ relation(X2)
| ~ in(X1,X3)
| ~ in(X1,relation_dom(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_310) ).
cnf(i_0_74,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk24_3(X2,X3,X1),X1)
| in(esk24_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_74) ).
cnf(i_0_311,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_311) ).
cnf(i_0_318,negated_conjecture,
relation(esk57_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_318) ).
cnf(i_0_312,lemma,
( in(X1,X2)
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_dom_restriction(X3,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_312) ).
cnf(i_0_75,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| ~ in(esk24_3(X2,X3,X1),X1)
| ~ in(esk24_3(X2,X3,X1),X3)
| ~ in(esk24_3(X2,X3,X1),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n0nq6909/input.p',i_0_75) ).
cnf(c_0_328,negated_conjecture,
set_difference(relation_dom(esk57_0),set_difference(relation_dom(esk57_0),esk56_0)) != relation_dom(relation_dom_restriction(esk57_0,esk56_0)),
i_0_317 ).
cnf(c_0_329,plain,
set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
i_0_6 ).
cnf(c_0_330,negated_conjecture,
relation_dom(relation_dom_restriction(esk57_0,esk56_0)) != set_difference(esk56_0,set_difference(esk56_0,relation_dom(esk57_0))),
inference(rw,[status(thm)],[c_0_328,c_0_329]) ).
cnf(c_0_331,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk24_3(X2,X3,X1),X1)
| in(esk24_3(X2,X3,X1),X3) ),
i_0_73 ).
cnf(c_0_332,negated_conjecture,
( in(esk24_3(X1,X2,relation_dom(relation_dom_restriction(esk57_0,esk56_0))),relation_dom(relation_dom_restriction(esk57_0,esk56_0)))
| in(esk24_3(X1,X2,relation_dom(relation_dom_restriction(esk57_0,esk56_0))),X2)
| set_difference(X1,set_difference(X1,X2)) != set_difference(esk56_0,set_difference(esk56_0,relation_dom(esk57_0))) ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_333,lemma,
( in(X1,relation_dom(relation_dom_restriction(X2,X3)))
| ~ relation(X2)
| ~ in(X1,X3)
| ~ in(X1,relation_dom(X2)) ),
i_0_310 ).
cnf(c_0_334,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk24_3(X2,X3,X1),X1)
| in(esk24_3(X2,X3,X1),X2) ),
i_0_74 ).
cnf(c_0_335,lemma,
( in(X1,relation_dom(X2))
| ~ relation(X2)
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X3))) ),
i_0_311 ).
cnf(c_0_336,negated_conjecture,
( in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),relation_dom(relation_dom_restriction(esk57_0,esk56_0)))
| in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),relation_dom(esk57_0)) ),
inference(er,[status(thm)],[c_0_332]) ).
cnf(c_0_337,negated_conjecture,
relation(esk57_0),
i_0_318 ).
cnf(c_0_338,lemma,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk24_3(X2,X3,X1),relation_dom(relation_dom_restriction(X4,X1)))
| in(esk24_3(X2,X3,X1),X2)
| ~ in(esk24_3(X2,X3,X1),relation_dom(X4))
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_339,lemma,
in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),relation_dom(esk57_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337])]) ).
cnf(c_0_340,lemma,
( in(X1,X2)
| ~ relation(X3)
| ~ in(X1,relation_dom(relation_dom_restriction(X3,X2))) ),
i_0_312 ).
cnf(c_0_341,lemma,
( in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),relation_dom(relation_dom_restriction(esk57_0,relation_dom(relation_dom_restriction(esk57_0,esk56_0)))))
| in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),esk56_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_337])]),c_0_330]) ).
cnf(c_0_342,plain,
( X1 = set_difference(X2,set_difference(X2,X3))
| ~ in(esk24_3(X2,X3,X1),X1)
| ~ in(esk24_3(X2,X3,X1),X3)
| ~ in(esk24_3(X2,X3,X1),X2) ),
i_0_75 ).
cnf(c_0_343,lemma,
( in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),relation_dom(relation_dom_restriction(esk57_0,esk56_0)))
| in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),esk56_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_337])]) ).
cnf(c_0_344,plain,
( ~ in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),relation_dom(relation_dom_restriction(esk57_0,esk56_0)))
| ~ in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),esk56_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_339]),c_0_330]) ).
cnf(c_0_345,lemma,
in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_343]),c_0_337])]) ).
cnf(c_0_346,lemma,
( X1 = set_difference(X2,set_difference(X2,X3))
| in(esk24_3(X2,X3,X1),relation_dom(relation_dom_restriction(X4,X2)))
| in(esk24_3(X2,X3,X1),X1)
| ~ in(esk24_3(X2,X3,X1),relation_dom(X4))
| ~ relation(X4) ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_347,plain,
~ in(esk24_3(esk56_0,relation_dom(esk57_0),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),relation_dom(relation_dom_restriction(esk57_0,esk56_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_345])]) ).
cnf(c_0_348,lemma,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_339]),c_0_337])]),c_0_330]),c_0_347]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU194+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 11:03:26 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 37.74/6.20 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 37.74/6.20 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 40; version: 991; iters: 150)
% 37.74/6.20 # Preprocessing time : 1.200 s
% 37.74/6.20 # Presaturation interreduction done
% 37.74/6.20
% 37.74/6.20 # Proof found!
% 37.74/6.20 # SZS status Theorem
% 37.74/6.20 # SZS output start CNFRefutation
% See solution above
% 37.74/6.20 # Training examples: 0 positive, 0 negative
% 37.74/6.20
% 37.74/6.20 # -------------------------------------------------
% 37.74/6.20 # User time : 3.677 s
% 37.74/6.20 # System time : 0.140 s
% 37.74/6.20 # Total time : 3.817 s
% 37.74/6.20 # ...preprocessing : 1.200 s
% 37.74/6.20 # ...main loop : 2.617 s
% 37.74/6.20 # Maximum resident set size: 167404 pages
% 37.74/6.20
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