TSTP Solution File: SEU236+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU236+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 08:39:56 EDT 2022
% Result : Theorem 8.22s 2.46s
% Output : CNFRefutation 8.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 39 ( 9 unt; 5 nHn; 37 RR)
% Number of literals : 88 ( 0 equ; 51 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_361,plain,
( subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ ordinal_subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_361) ).
cnf(i_0_437,negated_conjecture,
( in(esk87_0,esk88_0)
| ordinal_subset(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)),esk88_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_437) ).
cnf(i_0_439,negated_conjecture,
ordinal(esk88_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_439) ).
cnf(i_0_438,negated_conjecture,
( ~ in(esk87_0,esk88_0)
| ~ ordinal_subset(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)),esk88_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_438) ).
cnf(i_0_360,plain,
( ordinal_subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_360) ).
cnf(i_0_272,plain,
( ordinal(set_union2(X1,unordered_pair(X1,X1)))
| ~ ordinal(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_272) ).
cnf(i_0_440,negated_conjecture,
ordinal(esk87_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_440) ).
cnf(i_0_137,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_137) ).
cnf(i_0_549,lemma,
( subset(set_union2(X1,X2),X3)
| ~ subset(X2,X3)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_549) ).
cnf(i_0_458,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X3),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_458) ).
cnf(i_0_368,lemma,
in(X1,set_union2(X1,unordered_pair(X1,X1))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_368) ).
cnf(i_0_456,lemma,
( subset(unordered_pair(X1,X2),X3)
| ~ in(X2,X3)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_456) ).
cnf(i_0_97,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_97) ).
cnf(i_0_5,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_r0dzvdj/lgb.p',i_0_5) ).
cnf(c_0_564,plain,
( subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ ordinal_subset(X1,X2) ),
i_0_361 ).
cnf(c_0_565,negated_conjecture,
( in(esk87_0,esk88_0)
| ordinal_subset(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)),esk88_0) ),
i_0_437 ).
cnf(c_0_566,negated_conjecture,
ordinal(esk88_0),
i_0_439 ).
cnf(c_0_567,negated_conjecture,
( ~ in(esk87_0,esk88_0)
| ~ ordinal_subset(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)),esk88_0) ),
i_0_438 ).
cnf(c_0_568,plain,
( ordinal_subset(X1,X2)
| ~ ordinal(X2)
| ~ ordinal(X1)
| ~ subset(X1,X2) ),
i_0_360 ).
cnf(c_0_569,negated_conjecture,
( subset(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)),esk88_0)
| in(esk87_0,esk88_0)
| ~ ordinal(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_565]),c_0_566])]) ).
cnf(c_0_570,plain,
( ordinal(set_union2(X1,unordered_pair(X1,X1)))
| ~ ordinal(X1) ),
i_0_272 ).
cnf(c_0_571,negated_conjecture,
ordinal(esk87_0),
i_0_440 ).
cnf(c_0_572,negated_conjecture,
( ~ ordinal(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)))
| ~ subset(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)),esk88_0)
| ~ in(esk87_0,esk88_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_568]),c_0_566])]) ).
cnf(c_0_573,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_137 ).
cnf(c_0_574,plain,
( subset(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)),esk88_0)
| in(esk87_0,esk88_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_570]),c_0_571])]) ).
cnf(c_0_575,plain,
( ~ subset(set_union2(esk87_0,unordered_pair(esk87_0,esk87_0)),esk88_0)
| ~ in(esk87_0,esk88_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_570]),c_0_571])]) ).
cnf(c_0_576,lemma,
( subset(set_union2(X1,X2),X3)
| ~ subset(X2,X3)
| ~ subset(X1,X3) ),
i_0_549 ).
cnf(c_0_577,lemma,
( in(X1,X2)
| ~ subset(unordered_pair(X1,X3),X2) ),
i_0_458 ).
cnf(c_0_578,plain,
( in(esk87_0,esk88_0)
| in(X1,esk88_0)
| ~ in(X1,set_union2(esk87_0,unordered_pair(esk87_0,esk87_0))) ),
inference(spm,[status(thm)],[c_0_573,c_0_574]) ).
cnf(c_0_579,lemma,
in(X1,set_union2(X1,unordered_pair(X1,X1))),
i_0_368 ).
cnf(c_0_580,lemma,
( ~ subset(unordered_pair(esk87_0,esk87_0),esk88_0)
| ~ subset(esk87_0,esk88_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_576]),c_0_577]) ).
cnf(c_0_581,lemma,
( subset(unordered_pair(X1,X2),X3)
| ~ in(X2,X3)
| ~ in(X1,X3) ),
i_0_456 ).
cnf(c_0_582,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
i_0_97 ).
cnf(c_0_583,lemma,
in(esk87_0,esk88_0),
inference(spm,[status(thm)],[c_0_578,c_0_579]) ).
cnf(c_0_584,lemma,
( ~ subset(esk87_0,esk88_0)
| ~ in(esk87_0,esk88_0) ),
inference(spm,[status(thm)],[c_0_580,c_0_581]) ).
cnf(c_0_585,plain,
( subset(esk87_0,esk88_0)
| ~ epsilon_transitive(esk88_0) ),
inference(spm,[status(thm)],[c_0_582,c_0_583]) ).
cnf(c_0_586,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
i_0_5 ).
cnf(c_0_587,lemma,
~ subset(esk87_0,esk88_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_584,c_0_583])]) ).
cnf(c_0_588,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_566])]),c_0_587]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU236+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 04:04:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.22/2.46 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.22/2.46 # No SInE strategy applied
% 8.22/2.46 # Trying AutoSched0 for 150 seconds
% 8.22/2.46 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 8.22/2.46 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.22/2.46 #
% 8.22/2.46 # Preprocessing time : 0.026 s
% 8.22/2.46 # Presaturation interreduction done
% 8.22/2.46
% 8.22/2.46 # Proof found!
% 8.22/2.46 # SZS status Theorem
% 8.22/2.46 # SZS output start CNFRefutation
% See solution above
% 8.22/2.46 # Training examples: 0 positive, 0 negative
% 8.22/2.46
% 8.22/2.46 # -------------------------------------------------
% 8.22/2.46 # User time : 0.053 s
% 8.22/2.46 # System time : 0.008 s
% 8.22/2.46 # Total time : 0.061 s
% 8.22/2.46 # Maximum resident set size: 7124 pages
% 8.22/2.46
%------------------------------------------------------------------------------