TSTP Solution File: SEU262+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU262+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 08:40:12 EDT 2022
% Result : Theorem 22.72s 4.39s
% Output : CNFRefutation 22.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of clauses : 54 ( 14 unt; 6 nHn; 46 RR)
% Number of literals : 112 ( 12 equ; 57 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 105 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_113,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_113) ).
cnf(i_0_286,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_286) ).
cnf(i_0_303,plain,
~ empty(powerset(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_303) ).
cnf(i_0_383,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_383) ).
cnf(i_0_660,lemma,
union(powerset(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_660) ).
cnf(i_0_455,negated_conjecture,
relation_of2_as_subset(esk107_0,esk105_0,esk106_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_455) ).
cnf(i_0_386,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_386) ).
cnf(i_0_15,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_15) ).
cnf(i_0_150,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_150) ).
cnf(i_0_7,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_7) ).
cnf(i_0_172,plain,
( in(unordered_pair(unordered_pair(X1,esk48_3(X2,X3,X1)),unordered_pair(X1,X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_172) ).
cnf(i_0_385,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_385) ).
cnf(i_0_207,plain,
( in(unordered_pair(unordered_pair(esk60_3(X1,X2,X3),X3),unordered_pair(esk60_3(X1,X2,X3),esk60_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_207) ).
cnf(i_0_149,plain,
( subset(X1,X2)
| in(esk44_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_149) ).
cnf(i_0_148,plain,
( subset(X1,X2)
| ~ in(esk44_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_148) ).
cnf(i_0_454,negated_conjecture,
( ~ subset(relation_dom(esk107_0),esk105_0)
| ~ subset(relation_rng(esk107_0),esk106_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-83xz4w_s/input.p',i_0_454) ).
cnf(c_0_677,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_113 ).
cnf(c_0_678,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_286 ).
cnf(c_0_679,plain,
~ empty(powerset(X1)),
i_0_303 ).
cnf(c_0_680,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
i_0_383 ).
cnf(c_0_681,lemma,
union(powerset(X1)) = X1,
i_0_660 ).
cnf(c_0_682,plain,
( in(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_678]),c_0_679]) ).
cnf(c_0_683,negated_conjecture,
relation_of2_as_subset(esk107_0,esk105_0,esk106_0),
i_0_455 ).
cnf(c_0_684,lemma,
( subset(X1,X2)
| ~ in(X1,powerset(X2)) ),
inference(spm,[status(thm)],[c_0_680,c_0_681]) ).
cnf(c_0_685,negated_conjecture,
in(esk107_0,powerset(cartesian_product2(esk105_0,esk106_0))),
inference(spm,[status(thm)],[c_0_682,c_0_683]) ).
cnf(c_0_686,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X1,X1)),cartesian_product2(X2,X4)) ),
i_0_386 ).
cnf(c_0_687,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
i_0_15 ).
cnf(c_0_688,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_150 ).
cnf(c_0_689,negated_conjecture,
subset(esk107_0,cartesian_product2(esk105_0,esk106_0)),
inference(spm,[status(thm)],[c_0_684,c_0_685]) ).
cnf(c_0_690,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
i_0_7 ).
cnf(c_0_691,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[c_0_686,c_0_687]) ).
cnf(c_0_692,negated_conjecture,
( in(X1,cartesian_product2(esk105_0,esk106_0))
| ~ in(X1,esk107_0) ),
inference(spm,[status(thm)],[c_0_688,c_0_689]) ).
cnf(c_0_693,plain,
( in(unordered_pair(unordered_pair(X1,esk48_3(X2,X3,X1)),unordered_pair(X1,X1)),X2)
| X3 != relation_dom(X2)
| ~ relation(X2)
| ~ in(X1,X3) ),
i_0_172 ).
cnf(c_0_694,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_690,c_0_678]) ).
cnf(c_0_695,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X3,X1),unordered_pair(X3,X3)),cartesian_product2(X4,X2)) ),
i_0_385 ).
cnf(c_0_696,lemma,
( in(X1,esk105_0)
| ~ in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X2)),esk107_0) ),
inference(spm,[status(thm)],[c_0_691,c_0_692]) ).
cnf(c_0_697,plain,
( in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk48_3(X2,X3,X1))),X2)
| X3 != relation_dom(X2)
| ~ in(X1,X3)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_693,c_0_687]) ).
cnf(c_0_698,negated_conjecture,
relation(esk107_0),
inference(spm,[status(thm)],[c_0_694,c_0_683]) ).
cnf(c_0_699,lemma,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X3,X3)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[c_0_695,c_0_687]) ).
cnf(c_0_700,plain,
( in(unordered_pair(unordered_pair(esk60_3(X1,X2,X3),X3),unordered_pair(esk60_3(X1,X2,X3),esk60_3(X1,X2,X3))),X1)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ in(X3,X2) ),
i_0_207 ).
cnf(c_0_701,plain,
( in(X1,esk105_0)
| X2 != relation_dom(esk107_0)
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_697]),c_0_698])]) ).
cnf(c_0_702,lemma,
( in(X1,esk106_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),unordered_pair(X2,X2)),esk107_0) ),
inference(spm,[status(thm)],[c_0_699,c_0_692]) ).
cnf(c_0_703,plain,
( in(unordered_pair(unordered_pair(X1,esk60_3(X2,X3,X1)),unordered_pair(esk60_3(X2,X3,X1),esk60_3(X2,X3,X1))),X2)
| X3 != relation_rng(X2)
| ~ in(X1,X3)
| ~ relation(X2) ),
inference(rw,[status(thm)],[c_0_700,c_0_687]) ).
cnf(c_0_704,plain,
( in(X1,esk105_0)
| ~ in(X1,relation_dom(esk107_0)) ),
inference(er,[status(thm)],[c_0_701]) ).
cnf(c_0_705,plain,
( subset(X1,X2)
| in(esk44_2(X1,X2),X1) ),
i_0_149 ).
cnf(c_0_706,plain,
( in(X1,esk106_0)
| X2 != relation_rng(esk107_0)
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_702,c_0_703]),c_0_698])]) ).
cnf(c_0_707,plain,
( subset(X1,X2)
| ~ in(esk44_2(X1,X2),X2) ),
i_0_148 ).
cnf(c_0_708,plain,
( in(esk44_2(relation_dom(esk107_0),X1),esk105_0)
| subset(relation_dom(esk107_0),X1) ),
inference(spm,[status(thm)],[c_0_704,c_0_705]) ).
cnf(c_0_709,plain,
( in(X1,esk106_0)
| ~ in(X1,relation_rng(esk107_0)) ),
inference(er,[status(thm)],[c_0_706]) ).
cnf(c_0_710,negated_conjecture,
( ~ subset(relation_dom(esk107_0),esk105_0)
| ~ subset(relation_rng(esk107_0),esk106_0) ),
i_0_454 ).
cnf(c_0_711,plain,
subset(relation_dom(esk107_0),esk105_0),
inference(spm,[status(thm)],[c_0_707,c_0_708]) ).
cnf(c_0_712,plain,
( in(esk44_2(relation_rng(esk107_0),X1),esk106_0)
| subset(relation_rng(esk107_0),X1) ),
inference(spm,[status(thm)],[c_0_709,c_0_705]) ).
cnf(c_0_713,negated_conjecture,
~ subset(relation_rng(esk107_0),esk106_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_710,c_0_711])]) ).
cnf(c_0_714,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_712]),c_0_713]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU262+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 22:31:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 22.72/4.39 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 22.72/4.39 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 22.72/4.39 # Preprocessing time : 1.303 s
% 22.72/4.39
% 22.72/4.39 # Proof found!
% 22.72/4.39 # SZS status Theorem
% 22.72/4.39 # SZS output start CNFRefutation
% See solution above
% 22.72/4.39 # Training examples: 0 positive, 0 negative
% 22.72/4.39
% 22.72/4.39 # -------------------------------------------------
% 22.72/4.39 # User time : 1.633 s
% 22.72/4.39 # System time : 0.139 s
% 22.72/4.39 # Total time : 1.772 s
% 22.72/4.39 # ...preprocessing : 1.303 s
% 22.72/4.39 # ...main loop : 0.470 s
% 22.72/4.39 # Maximum resident set size: 179292 pages
% 22.72/4.39
%------------------------------------------------------------------------------