TSTP Solution File: SEU451+3 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU451+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 08:42:46 EDT 2022
% Result : Theorem 16.65s 6.47s
% Output : CNFRefutation 16.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 10 unt; 0 nHn; 25 RR)
% Number of literals : 49 ( 13 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 51 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2360,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_2360) ).
cnf(i_0_4461,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_4461) ).
cnf(i_0_4278,plain,
( k5_relat_1(X1,k2_group_1(k20_monoid_0(X2))) = X1
| ~ m2_relset_1(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_4278) ).
cnf(i_0_5505,negated_conjecture,
m2_relset_1(esk673_0,esk671_0,esk672_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_5505) ).
cnf(i_0_5504,negated_conjecture,
k9_relset_2(esk671_0,esk672_0,esk672_0,esk673_0,k2_group_1(k20_monoid_0(esk672_0))) != k9_relset_2(esk671_0,esk671_0,esk672_0,k2_group_1(k20_monoid_0(esk671_0)),esk673_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_5504) ).
cnf(i_0_1045,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_1045) ).
cnf(i_0_4253,plain,
( k5_relat_1(k2_group_1(k20_monoid_0(X1)),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_4253) ).
cnf(i_0_5596,plain,
m2_relset_1(k2_group_1(k20_monoid_0(X1)),X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_5596) ).
cnf(i_0_4462,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gfkbsdux/lgb.p',i_0_4462) ).
cnf(c_0_5606,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
i_0_2360 ).
cnf(c_0_5607,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_4461 ).
cnf(c_0_5608,plain,
( k5_relat_1(X1,k2_group_1(k20_monoid_0(X2))) = X1
| ~ m2_relset_1(X1,X3,X2) ),
i_0_4278 ).
cnf(c_0_5609,negated_conjecture,
m2_relset_1(esk673_0,esk671_0,esk672_0),
i_0_5505 ).
cnf(c_0_5610,negated_conjecture,
k9_relset_2(esk671_0,esk672_0,esk672_0,esk673_0,k2_group_1(k20_monoid_0(esk672_0))) != k9_relset_2(esk671_0,esk671_0,esk672_0,k2_group_1(k20_monoid_0(esk671_0)),esk673_0),
i_0_5504 ).
cnf(c_0_5611,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ r1_tarski(X5,k2_zfmisc_1(X2,X3))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(spm,[status(thm)],[c_0_5606,c_0_5607]) ).
cnf(c_0_5612,negated_conjecture,
k5_relat_1(esk673_0,k2_group_1(k20_monoid_0(esk672_0))) = esk673_0,
inference(spm,[status(thm)],[c_0_5608,c_0_5609]) ).
cnf(c_0_5613,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1045 ).
cnf(c_0_5614,plain,
( k5_relat_1(k2_group_1(k20_monoid_0(X1)),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
i_0_4253 ).
cnf(c_0_5615,negated_conjecture,
( k9_relset_2(esk671_0,esk671_0,esk672_0,k2_group_1(k20_monoid_0(esk671_0)),esk673_0) != esk673_0
| ~ r1_tarski(k2_group_1(k20_monoid_0(esk672_0)),k2_zfmisc_1(esk672_0,esk672_0))
| ~ m1_subset_1(esk673_0,k1_zfmisc_1(k2_zfmisc_1(esk671_0,esk672_0))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5610,c_0_5611]),c_0_5612]) ).
cnf(c_0_5616,plain,
( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X4,X1,X2) ),
inference(spm,[status(thm)],[c_0_5606,c_0_5613]) ).
cnf(c_0_5617,negated_conjecture,
k5_relat_1(k2_group_1(k20_monoid_0(esk671_0)),esk673_0) = esk673_0,
inference(spm,[status(thm)],[c_0_5614,c_0_5609]) ).
cnf(c_0_5618,plain,
m2_relset_1(k2_group_1(k20_monoid_0(X1)),X1,X1),
i_0_5596 ).
cnf(c_0_5619,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_4462 ).
cnf(c_0_5620,plain,
( ~ r1_tarski(k2_group_1(k20_monoid_0(esk672_0)),k2_zfmisc_1(esk672_0,esk672_0))
| ~ m1_subset_1(esk673_0,k1_zfmisc_1(k2_zfmisc_1(esk671_0,esk672_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5615,c_0_5616]),c_0_5617]),c_0_5618])]) ).
cnf(c_0_5621,plain,
( r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_5619,c_0_5613]) ).
cnf(c_0_5622,plain,
~ m1_subset_1(esk673_0,k1_zfmisc_1(k2_zfmisc_1(esk671_0,esk672_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5620,c_0_5621]),c_0_5618])]) ).
cnf(c_0_5623,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5622,c_0_5613]),c_0_5609])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU451+3 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.29 % Computer : n006.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sun Jun 19 19:40:14 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 # ENIGMATIC: Selected SinE mode:
% 0.78/0.97 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.97 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.78/0.97 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.78/0.97 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 16.65/6.47 # ENIGMATIC: Solved by autoschedule-lgb:
% 16.65/6.47 # No SInE strategy applied
% 16.65/6.47 # Trying AutoSched0 for 148 seconds
% 16.65/6.47 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S069N
% 16.65/6.47 # and selection function SelectComplexAHPExceptRRHorn.
% 16.65/6.47 #
% 16.65/6.47 # Preprocessing time : 0.022 s
% 16.65/6.47 # Presaturation interreduction done
% 16.65/6.47
% 16.65/6.47 # Proof found!
% 16.65/6.47 # SZS status Theorem
% 16.65/6.47 # SZS output start CNFRefutation
% See solution above
% 16.65/6.47 # Training examples: 0 positive, 0 negative
% 16.65/6.47
% 16.65/6.47 # -------------------------------------------------
% 16.65/6.47 # User time : 0.182 s
% 16.65/6.47 # System time : 0.012 s
% 16.65/6.47 # Total time : 0.194 s
% 16.65/6.47 # Maximum resident set size: 7124 pages
% 16.65/6.47
%------------------------------------------------------------------------------