TSTP Solution File: NUM403+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM403+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 : Mon Jul 18 08:35:42 EDT 2022
% Result : Theorem 18.96s 3.80s
% Output : CNFRefutation 18.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 4 unt; 9 nHn; 26 RR)
% Number of literals : 82 ( 2 equ; 42 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_22,plain,
( in(X1,X2)
| X2 != union(X3)
| ~ in(X4,X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_22) ).
cnf(i_0_17,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_17) ).
cnf(i_0_16,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_16) ).
cnf(i_0_96,plain,
( in(X1,set_union2(X2,singleton(X2)))
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ ordinal_subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_96) ).
cnf(i_0_88,plain,
( ordinal_subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_88) ).
cnf(i_0_101,negated_conjecture,
( ordinal(X1)
| ~ in(X1,esk20_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_101) ).
cnf(i_0_99,plain,
( ordinal(union(X1))
| in(esk19_1(X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_99) ).
cnf(i_0_98,plain,
( ordinal(union(X1))
| ~ ordinal(esk19_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_98) ).
cnf(i_0_100,negated_conjecture,
( ~ ordinal(X1)
| ~ subset(esk20_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_100) ).
cnf(i_0_41,plain,
( ordinal(set_union2(X1,singleton(X1)))
| ~ ordinal(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-fz_njzje/input.p',i_0_41) ).
cnf(c_0_112,plain,
( in(X1,X2)
| X2 != union(X3)
| ~ in(X4,X3)
| ~ in(X1,X4) ),
i_0_22 ).
cnf(c_0_113,plain,
( in(X1,union(X2))
| ~ in(X3,X2)
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_112]) ).
cnf(c_0_114,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_17 ).
cnf(c_0_115,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_16 ).
cnf(c_0_116,plain,
( in(X1,set_union2(X2,singleton(X2)))
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ ordinal_subset(X1,X2) ),
i_0_96 ).
cnf(c_0_117,plain,
( in(X1,union(X2))
| subset(X2,X3)
| ~ in(X1,esk1_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
( subset(X1,set_union2(X2,singleton(X2)))
| ~ ordinal_subset(esk1_2(X1,set_union2(X2,singleton(X2))),X2)
| ~ ordinal(esk1_2(X1,set_union2(X2,singleton(X2))))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,plain,
( ordinal_subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ subset(X1,X2) ),
i_0_88 ).
cnf(c_0_120,plain,
( in(esk1_2(esk1_2(X1,X2),X3),union(X1))
| subset(esk1_2(X1,X2),X3)
| subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
( ordinal(X1)
| ~ in(X1,esk20_0) ),
i_0_101 ).
cnf(c_0_122,plain,
( ordinal(union(X1))
| in(esk19_1(X1),X1) ),
i_0_99 ).
cnf(c_0_123,plain,
( subset(X1,set_union2(X2,singleton(X2)))
| ~ subset(esk1_2(X1,set_union2(X2,singleton(X2))),X2)
| ~ ordinal(esk1_2(X1,set_union2(X2,singleton(X2))))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_124,plain,
( subset(esk1_2(X1,X2),union(X1))
| subset(X1,X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_120]) ).
cnf(c_0_125,plain,
( ordinal(union(X1))
| ~ ordinal(esk19_1(X1)) ),
i_0_98 ).
cnf(c_0_126,negated_conjecture,
( ordinal(esk19_1(esk20_0))
| ordinal(union(esk20_0)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,plain,
( subset(X1,set_union2(union(X1),singleton(union(X1))))
| ~ ordinal(esk1_2(X1,set_union2(union(X1),singleton(union(X1)))))
| ~ ordinal(union(X1)) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_128,negated_conjecture,
( subset(esk20_0,X1)
| ordinal(esk1_2(esk20_0,X1)) ),
inference(spm,[status(thm)],[c_0_121,c_0_114]) ).
cnf(c_0_129,plain,
ordinal(union(esk20_0)),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( ~ ordinal(X1)
| ~ subset(esk20_0,X1) ),
i_0_100 ).
cnf(c_0_131,negated_conjecture,
subset(esk20_0,set_union2(union(esk20_0),singleton(union(esk20_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_132,negated_conjecture,
~ ordinal(set_union2(union(esk20_0),singleton(union(esk20_0)))),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_133,plain,
( ordinal(set_union2(X1,singleton(X1)))
| ~ ordinal(X1) ),
i_0_41 ).
cnf(c_0_134,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_129])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM403+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 22:38:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 18.96/3.80 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 18.96/3.80 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 35; version: 991; iters: 150)
% 18.96/3.80 # Preprocessing time : 1.255 s
% 18.96/3.80 # Presaturation interreduction done
% 18.96/3.80
% 18.96/3.80 # Proof found!
% 18.96/3.80 # SZS status Theorem
% 18.96/3.80 # SZS output start CNFRefutation
% See solution above
% 18.96/3.80 # Training examples: 0 positive, 0 negative
% 18.96/3.80
% 18.96/3.80 # -------------------------------------------------
% 18.96/3.80 # User time : 1.167 s
% 18.96/3.80 # System time : 0.159 s
% 18.96/3.80 # Total time : 1.326 s
% 18.96/3.80 # ...preprocessing : 1.255 s
% 18.96/3.80 # ...main loop : 0.071 s
% 18.96/3.80 # Maximum resident set size: 186912 pages
% 18.96/3.80
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