%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX035+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 : 300s
% DateTime : Tue Apr 1 02:12:55 AM UTC 2025
% Result : Theorem 20.39s 3.99s
% Output : CNFRefutation 20.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 10 unt; 0 nHn; 24 RR)
% Number of literals : 59 ( 13 equ; 35 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_103,plain,
( plus_succeeds(X1,X2,X3)
| '@+'(X1,X2) != X3
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyg4mmee/input.p',i_0_103) ).
cnf(i_0_105,plain,
( times_succeeds(X1,X2,X3)
| '@*'(X1,X2) != X3
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyg4mmee/input.p',i_0_105) ).
cnf(i_0_141,negated_conjecture,
nat_succeeds(esk37_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyg4mmee/input.p',i_0_141) ).
cnf(i_0_17,plain,
( times_succeeds(X1,X2,X3)
| X1 != s(X4)
| ~ times_succeeds(X4,X2,X5)
| ~ plus_succeeds(X2,X5,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyg4mmee/input.p',i_0_17) ).
cnf(i_0_142,negated_conjecture,
nat_succeeds(esk36_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyg4mmee/input.p',i_0_142) ).
cnf(i_0_104,plain,
( '@*'(X1,X2) = X3
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ times_succeeds(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyg4mmee/input.p',i_0_104) ).
cnf(i_0_127,plain,
( nat_succeeds(X1)
| ~ times_succeeds(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyg4mmee/input.p',i_0_127) ).
cnf(i_0_140,negated_conjecture,
'@+'(esk37_0,'@*'(esk36_0,esk37_0)) != '@*'(s(esk36_0),esk37_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nyg4mmee/input.p',i_0_140) ).
cnf(c_0_151,plain,
( plus_succeeds(X1,X2,X3)
| '@+'(X1,X2) != X3
| ~ nat_succeeds(X1) ),
i_0_103 ).
cnf(c_0_152,plain,
( times_succeeds(X1,X2,X3)
| '@*'(X1,X2) != X3
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
i_0_105 ).
cnf(c_0_153,plain,
( plus_succeeds(X1,X2,'@+'(X1,X2))
| ~ nat_succeeds(X1) ),
inference(er,[status(thm)],[c_0_151]) ).
cnf(c_0_154,negated_conjecture,
nat_succeeds(esk37_0),
i_0_141 ).
cnf(c_0_155,plain,
( times_succeeds(X1,X2,'@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
inference(er,[status(thm)],[c_0_152]) ).
cnf(c_0_156,plain,
( times_succeeds(X1,X2,X3)
| X1 != s(X4)
| ~ times_succeeds(X4,X2,X5)
| ~ plus_succeeds(X2,X5,X3) ),
i_0_17 ).
cnf(c_0_157,negated_conjecture,
plus_succeeds(esk37_0,X1,'@+'(esk37_0,X1)),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( times_succeeds(X1,esk37_0,'@*'(X1,esk37_0))
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
nat_succeeds(esk36_0),
i_0_142 ).
cnf(c_0_160,plain,
( times_succeeds(X1,esk37_0,'@+'(esk37_0,X2))
| X1 != s(X3)
| ~ times_succeeds(X3,esk37_0,X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,negated_conjecture,
times_succeeds(esk36_0,esk37_0,'@*'(esk36_0,esk37_0)),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_162,plain,
( '@*'(X1,X2) = X3
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1)
| ~ times_succeeds(X1,X2,X3) ),
i_0_104 ).
cnf(c_0_163,plain,
( nat_succeeds(X1)
| ~ times_succeeds(X1,X2,X3) ),
i_0_127 ).
cnf(c_0_164,negated_conjecture,
( times_succeeds(X1,esk37_0,'@+'(esk37_0,'@*'(esk36_0,esk37_0)))
| X1 != s(esk36_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_165,plain,
( '@*'(X1,X2) = X3
| ~ times_succeeds(X1,X2,X3)
| ~ nat_succeeds(X2) ),
inference(csr,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_166,negated_conjecture,
times_succeeds(s(esk36_0),esk37_0,'@+'(esk37_0,'@*'(esk36_0,esk37_0))),
inference(er,[status(thm)],[c_0_164]) ).
cnf(c_0_167,negated_conjecture,
'@+'(esk37_0,'@*'(esk36_0,esk37_0)) != '@*'(s(esk36_0),esk37_0),
i_0_140 ).
cnf(c_0_168,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_154])]),c_0_167]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWX035+1 : TPTP v9.1.0. Released v9.1.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Mar 31 14:28:22 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.22/0.47 # ENIGMATIC: Selected complete mode:
% 20.39/3.99 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 20.39/3.99 # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 20.39/3.99 # 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: 36; version: 991; iters: 150)
% 20.39/3.99 # Preprocessing time : 0.764 s
% 20.39/3.99
% 20.39/3.99 # Proof found!
% 20.39/3.99 # SZS status Theorem
% 20.39/3.99 # SZS output start CNFRefutation
% See solution above
% 20.39/3.99 # Training examples: 0 positive, 0 negative
% 20.39/3.99
% 20.39/3.99 # -------------------------------------------------
% 20.39/3.99 # User time : 1.381 s
% 20.39/3.99 # System time : 0.109 s
% 20.39/3.99 # Total time : 1.490 s
% 20.39/3.99 # ...preprocessing : 0.764 s
% 20.39/3.99 # ...main loop : 0.725 s
% 20.39/3.99 # Maximum resident set size: 151840 pages
% 20.39/3.99
%------------------------------------------------------------------------------