TSTP Solution File: SEU108+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU108+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 08:38:30 EDT 2022
% Result : Theorem 13.62s 2.94s
% Output : CNFRefutation 13.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 31 ( 6 unt; 10 nHn; 24 RR)
% Number of literals : 75 ( 4 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 52 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_52,plain,
( preboolean(X1)
| ~ in(set_union2(esk11_1(X1),esk12_1(X1)),X1)
| ~ in(set_difference(esk11_1(X1),esk12_1(X1)),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_52) ).
cnf(i_0_60,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_60) ).
cnf(i_0_10,plain,
( element(subset_difference(X1,X2,X3),powerset(X1))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_10) ).
cnf(i_0_50,plain,
( subset_difference(X1,X2,X3) = set_difference(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_50) ).
cnf(i_0_9,plain,
( element(subset_union2(X1,X2,X3),powerset(X1))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_9) ).
cnf(i_0_49,plain,
( subset_union2(X1,X2,X3) = set_union2(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_49) ).
cnf(i_0_13,plain,
~ empty(powerset(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_13) ).
cnf(i_0_58,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_58) ).
cnf(i_0_53,plain,
( preboolean(X1)
| in(esk12_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_53) ).
cnf(i_0_54,plain,
( preboolean(X1)
| in(esk11_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_54) ).
cnf(i_0_59,negated_conjecture,
~ preboolean(powerset(esk13_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oj03a_gl/input.p',i_0_59) ).
cnf(c_0_72,plain,
( preboolean(X1)
| ~ in(set_union2(esk11_1(X1),esk12_1(X1)),X1)
| ~ in(set_difference(esk11_1(X1),esk12_1(X1)),X1) ),
i_0_52 ).
cnf(c_0_73,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_60 ).
cnf(c_0_74,plain,
( preboolean(X1)
| empty(X1)
| ~ in(set_union2(esk11_1(X1),esk12_1(X1)),X1)
| ~ element(set_difference(esk11_1(X1),esk12_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_75,plain,
( element(subset_difference(X1,X2,X3),powerset(X1))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_10 ).
cnf(c_0_76,plain,
( subset_difference(X1,X2,X3) = set_difference(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_50 ).
cnf(c_0_77,plain,
( element(subset_union2(X1,X2,X3),powerset(X1))
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_9 ).
cnf(c_0_78,plain,
( subset_union2(X1,X2,X3) = set_union2(X2,X3)
| ~ element(X3,powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_49 ).
cnf(c_0_79,plain,
( preboolean(X1)
| empty(X1)
| ~ element(set_difference(esk11_1(X1),esk12_1(X1)),X1)
| ~ element(set_union2(esk11_1(X1),esk12_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_80,plain,
( element(set_difference(X1,X2),powerset(X3))
| ~ element(X2,powerset(X3))
| ~ element(X1,powerset(X3)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
~ empty(powerset(X1)),
i_0_13 ).
cnf(c_0_82,plain,
( element(set_union2(X1,X2),powerset(X3))
| ~ element(X2,powerset(X3))
| ~ element(X1,powerset(X3)) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
i_0_58 ).
cnf(c_0_84,plain,
( preboolean(X1)
| in(esk12_1(X1),X1) ),
i_0_53 ).
cnf(c_0_85,plain,
( preboolean(X1)
| in(esk11_1(X1),X1) ),
i_0_54 ).
cnf(c_0_86,plain,
( preboolean(powerset(X1))
| ~ element(esk12_1(powerset(X1)),powerset(X1))
| ~ element(esk11_1(powerset(X1)),powerset(X1)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]) ).
cnf(c_0_87,plain,
( element(esk12_1(X1),X1)
| preboolean(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,plain,
( element(esk11_1(X1),X1)
| preboolean(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
~ preboolean(powerset(esk13_0)),
i_0_59 ).
cnf(c_0_90,plain,
preboolean(powerset(X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_91,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU108+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Sun Jun 19 07:57:04 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.39 # ENIGMATIC: Selected complete mode:
% 13.62/2.94 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 13.62/2.94 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 21; version: 991; iters: 150)
% 13.62/2.94 # Preprocessing time : 0.853 s
% 13.62/2.94
% 13.62/2.94 # Proof found!
% 13.62/2.94 # SZS status Theorem
% 13.62/2.94 # SZS output start CNFRefutation
% See solution above
% 13.62/2.94 # Training examples: 0 positive, 0 negative
% 13.62/2.94
% 13.62/2.94 # -------------------------------------------------
% 13.62/2.94 # User time : 0.746 s
% 13.62/2.94 # System time : 0.112 s
% 13.62/2.94 # Total time : 0.857 s
% 13.62/2.94 # ...preprocessing : 0.853 s
% 13.62/2.94 # ...main loop : 0.005 s
% 13.62/2.94 # Maximum resident set size: 167752 pages
% 13.62/2.94
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