TSTP Solution File: SEU417+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU417+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 08:42:08 EDT 2022
% Result : Theorem 9.47s 3.60s
% Output : CNFRefutation 9.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 38 ( 10 unt; 0 nHn; 34 RR)
% Number of literals : 92 ( 5 equ; 64 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 65 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1051,plain,
( k5_subset_1(X1,X2,X3) = k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X2)),k1_tarski(k4_tarski(np__1,X3)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_1051) ).
cnf(i_0_3453,negated_conjecture,
~ r1_tarski(k5_subset_1(esk501_0,k8_setfam_1(esk501_0,esk502_0),k8_setfam_1(esk501_0,esk503_0)),k8_setfam_1(esk501_0,k1_relset_2(esk501_0,esk502_0,esk503_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_3453) ).
cnf(i_0_665,plain,
( m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_665) ).
cnf(i_0_3454,negated_conjecture,
m1_subset_1(esk503_0,k1_zfmisc_1(k1_zfmisc_1(esk501_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_3454) ).
cnf(i_0_1888,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_1888) ).
cnf(i_0_2508,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_2508) ).
cnf(i_0_3455,negated_conjecture,
m1_subset_1(esk502_0,k1_zfmisc_1(k1_zfmisc_1(esk501_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_3455) ).
cnf(i_0_1127,plain,
( r1_tarski(k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X1)),k1_tarski(k4_tarski(np__1,X2))))),X3)
| ~ r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_1127) ).
cnf(i_0_2507,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_2507) ).
cnf(i_0_2987,plain,
( r1_tarski(k8_setfam_1(X1,X2),k8_setfam_1(X1,X3))
| ~ r1_tarski(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_2987) ).
cnf(i_0_1767,plain,
r1_tarski(k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X1)),k1_tarski(k4_tarski(np__1,X2))))),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_1767) ).
cnf(i_0_1040,plain,
( k1_relset_2(X1,X2,X3) = k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X2)),k1_tarski(k4_tarski(np__1,X3)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5gz5_auj/lgb.p',i_0_1040) ).
cnf(c_0_3468,plain,
( k5_subset_1(X1,X2,X3) = k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X2)),k1_tarski(k4_tarski(np__1,X3)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_1051 ).
cnf(c_0_3469,negated_conjecture,
~ r1_tarski(k5_subset_1(esk501_0,k8_setfam_1(esk501_0,esk502_0),k8_setfam_1(esk501_0,esk503_0)),k8_setfam_1(esk501_0,k1_relset_2(esk501_0,esk502_0,esk503_0))),
i_0_3453 ).
cnf(c_0_3470,plain,
( k5_subset_1(X1,X2,X3) = k5_subset_1(X4,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| ~ m1_subset_1(X2,k1_zfmisc_1(X4)) ),
inference(spm,[status(thm)],[c_0_3468,c_0_3468]) ).
cnf(c_0_3471,negated_conjecture,
( ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(esk501_0))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(esk501_0))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(X1))
| ~ r1_tarski(k5_subset_1(X1,k8_setfam_1(esk501_0,esk502_0),k8_setfam_1(esk501_0,esk503_0)),k8_setfam_1(esk501_0,k1_relset_2(esk501_0,esk502_0,esk503_0))) ),
inference(spm,[status(thm)],[c_0_3469,c_0_3470]) ).
cnf(c_0_3472,plain,
( ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(esk501_0))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(esk501_0))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(X1))
| ~ r1_tarski(k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,k8_setfam_1(esk501_0,esk502_0))),k1_tarski(k4_tarski(np__1,k8_setfam_1(esk501_0,esk503_0)))))),k8_setfam_1(esk501_0,k1_relset_2(esk501_0,esk502_0,esk503_0))) ),
inference(spm,[status(thm)],[c_0_3471,c_0_3468]) ).
cnf(c_0_3473,plain,
( m1_subset_1(k8_setfam_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
i_0_665 ).
cnf(c_0_3474,negated_conjecture,
m1_subset_1(esk503_0,k1_zfmisc_1(k1_zfmisc_1(esk501_0))),
i_0_3454 ).
cnf(c_0_3475,plain,
( r1_tarski(X1,X2)
| ~ r1_tarski(X3,X2)
| ~ r1_tarski(X1,X3) ),
i_0_1888 ).
cnf(c_0_3476,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
i_0_2508 ).
cnf(c_0_3477,plain,
( ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(esk501_0))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(X1))
| ~ r1_tarski(k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,k8_setfam_1(esk501_0,esk502_0))),k1_tarski(k4_tarski(np__1,k8_setfam_1(esk501_0,esk503_0)))))),k8_setfam_1(esk501_0,k1_relset_2(esk501_0,esk502_0,esk503_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3472,c_0_3473]),c_0_3474])]) ).
cnf(c_0_3478,negated_conjecture,
m1_subset_1(esk502_0,k1_zfmisc_1(k1_zfmisc_1(esk501_0))),
i_0_3455 ).
cnf(c_0_3479,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X3) ),
inference(spm,[status(thm)],[c_0_3475,c_0_3476]) ).
cnf(c_0_3480,plain,
( ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(X1))
| ~ r1_tarski(k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,k8_setfam_1(esk501_0,esk502_0))),k1_tarski(k4_tarski(np__1,k8_setfam_1(esk501_0,esk503_0)))))),k8_setfam_1(esk501_0,k1_relset_2(esk501_0,esk502_0,esk503_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3477,c_0_3473]),c_0_3478])]) ).
cnf(c_0_3481,plain,
( r1_tarski(k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X1)),k1_tarski(k4_tarski(np__1,X2))))),X3)
| ~ r1_tarski(X1,X3) ),
i_0_1127 ).
cnf(c_0_3482,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
i_0_2507 ).
cnf(c_0_3483,negated_conjecture,
( r1_tarski(X1,k1_zfmisc_1(esk501_0))
| ~ r1_tarski(X1,esk502_0) ),
inference(spm,[status(thm)],[c_0_3479,c_0_3478]) ).
cnf(c_0_3484,plain,
( ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(X1))
| ~ r1_tarski(k8_setfam_1(esk501_0,esk502_0),k8_setfam_1(esk501_0,k1_relset_2(esk501_0,esk502_0,esk503_0))) ),
inference(spm,[status(thm)],[c_0_3480,c_0_3481]) ).
cnf(c_0_3485,plain,
( r1_tarski(k8_setfam_1(X1,X2),k8_setfam_1(X1,X3))
| ~ r1_tarski(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
i_0_2987 ).
cnf(c_0_3486,plain,
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(esk501_0)))
| ~ r1_tarski(X1,esk502_0) ),
inference(spm,[status(thm)],[c_0_3482,c_0_3483]) ).
cnf(c_0_3487,plain,
r1_tarski(k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X1)),k1_tarski(k4_tarski(np__1,X2))))),X1),
i_0_1767 ).
cnf(c_0_3488,plain,
( k1_relset_2(X1,X2,X3) = k1_setfam_1(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X2)),k1_tarski(k4_tarski(np__1,X3)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
i_0_1040 ).
cnf(c_0_3489,plain,
( ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(X1))
| ~ r1_tarski(k1_relset_2(esk501_0,esk502_0,esk503_0),esk502_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3484,c_0_3485]),c_0_3478])]),c_0_3486]) ).
cnf(c_0_3490,plain,
( r1_tarski(k1_relset_2(X1,X2,X3),X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[c_0_3487,c_0_3488]) ).
cnf(c_0_3491,plain,
( ~ m1_subset_1(k8_setfam_1(esk501_0,esk503_0),k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3489,c_0_3490]),c_0_3474]),c_0_3478])]) ).
cnf(c_0_3492,plain,
~ m1_subset_1(k8_setfam_1(esk501_0,esk502_0),k1_zfmisc_1(esk501_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3491,c_0_3473]),c_0_3474])]) ).
cnf(c_0_3493,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3492,c_0_3473]),c_0_3478])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU417+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 : Sun Jun 19 00:42:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.38/0.61 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.61 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.38/0.61 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.38/0.61 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.47/3.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.47/3.60 # No SInE strategy applied
% 9.47/3.60 # Trying AutoSched0 for 150 seconds
% 9.47/3.60 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.47/3.60 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.47/3.60 #
% 9.47/3.60 # Preprocessing time : 0.024 s
% 9.47/3.60 # Presaturation interreduction done
% 9.47/3.60
% 9.47/3.60 # Proof found!
% 9.47/3.60 # SZS status Theorem
% 9.47/3.60 # SZS output start CNFRefutation
% See solution above
% 9.47/3.60 # Training examples: 0 positive, 0 negative
% 9.47/3.60
% 9.47/3.60 # -------------------------------------------------
% 9.47/3.60 # User time : 0.134 s
% 9.47/3.60 # System time : 0.008 s
% 9.47/3.60 # Total time : 0.143 s
% 9.47/3.60 # Maximum resident set size: 7124 pages
% 9.47/3.60
%------------------------------------------------------------------------------