TSTP Solution File: SEU450+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU450+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 08:42:45 EDT 2022
% Result : Theorem 11.53s 4.08s
% Output : CNFRefutation 11.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 10 unt; 0 nHn; 38 RR)
% Number of literals : 104 ( 10 equ; 73 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 87 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_123,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_123) ).
cnf(i_0_2277,plain,
( r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X5,X4))
| ~ r1_tarski(X5,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_2277) ).
cnf(i_0_3170,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,X4),k6_relset_1(X3,X2,X4)))
| ~ m2_relset_1(X4,X3,X2)
| ~ m1_subset_1(X5,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_3170) ).
cnf(i_0_2819,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_2819) ).
cnf(i_0_3169,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),X4))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_3169) ).
cnf(i_0_655,plain,
( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_655) ).
cnf(i_0_665,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-hbhduksl/lgb.p',i_0_665) ).
cnf(i_0_3193,negated_conjecture,
( k8_relset_2(esk440_0,esk441_0,k8_relset_2(esk441_0,esk440_0,k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k6_relset_1(esk440_0,esk441_0,esk444_0)),esk444_0) != k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0)
| k8_relset_2(esk441_0,esk440_0,k8_relset_2(esk440_0,esk441_0,k8_relset_2(esk441_0,esk440_0,esk443_0,k6_relset_1(esk440_0,esk441_0,esk444_0)),esk444_0),k6_relset_1(esk440_0,esk441_0,esk444_0)) != k8_relset_2(esk441_0,esk440_0,esk443_0,k6_relset_1(esk440_0,esk441_0,esk444_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_3193) ).
cnf(i_0_3194,negated_conjecture,
m2_relset_1(esk444_0,esk440_0,esk441_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_3194) ).
cnf(i_0_3195,negated_conjecture,
m1_subset_1(esk443_0,k1_zfmisc_1(esk441_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_3195) ).
cnf(i_0_3196,negated_conjecture,
m1_subset_1(esk442_0,k1_zfmisc_1(esk440_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_3196) ).
cnf(i_0_633,plain,
( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_633) ).
cnf(i_0_1063,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hbhduksl/lgb.p',i_0_1063) ).
cnf(c_0_3210,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
i_0_123 ).
cnf(c_0_3211,plain,
( r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X5,X4))
| ~ r1_tarski(X5,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
i_0_2277 ).
cnf(c_0_3212,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,X4),k6_relset_1(X3,X2,X4)))
| ~ m2_relset_1(X4,X3,X2)
| ~ m1_subset_1(X5,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
i_0_3170 ).
cnf(c_0_3213,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
i_0_2819 ).
cnf(c_0_3214,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),X4))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
i_0_3169 ).
cnf(c_0_3215,plain,
( k8_relset_2(X1,X2,X3,X4) = k8_relset_2(X1,X2,X5,X4)
| ~ r1_tarski(k8_relset_2(X1,X2,X3,X4),k8_relset_2(X1,X2,X5,X4))
| ~ r1_tarski(X3,X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X5,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_3210,c_0_3211]) ).
cnf(c_0_3216,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,X4),k6_relset_1(X3,X2,X4)))
| ~ m2_relset_1(X4,X3,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_3212,c_0_3213]) ).
cnf(c_0_3217,plain,
( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
i_0_655 ).
cnf(c_0_3218,plain,
( r1_tarski(X1,k8_relset_2(X2,X3,k8_relset_2(X3,X2,X1,k6_relset_1(X2,X3,X4)),X4))
| ~ m2_relset_1(X4,X2,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_3214,c_0_3213]) ).
cnf(c_0_3219,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_665 ).
cnf(c_0_3220,negated_conjecture,
( k8_relset_2(esk440_0,esk441_0,k8_relset_2(esk441_0,esk440_0,k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k6_relset_1(esk440_0,esk441_0,esk444_0)),esk444_0) != k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0)
| k8_relset_2(esk441_0,esk440_0,k8_relset_2(esk440_0,esk441_0,k8_relset_2(esk441_0,esk440_0,esk443_0,k6_relset_1(esk440_0,esk441_0,esk444_0)),esk444_0),k6_relset_1(esk440_0,esk441_0,esk444_0)) != k8_relset_2(esk441_0,esk440_0,esk443_0,k6_relset_1(esk440_0,esk441_0,esk444_0)) ),
i_0_3193 ).
cnf(c_0_3221,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)),X4),k6_relset_1(X2,X1,X4)) = k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4))
| ~ m2_relset_1(X4,X2,X1)
| ~ m1_subset_1(k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4)),X4),k1_zfmisc_1(X1))
| ~ m1_subset_1(k6_relset_1(X2,X1,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3215,c_0_3216]),c_0_3217]),c_0_3218]) ).
cnf(c_0_3222,negated_conjecture,
m2_relset_1(esk444_0,esk440_0,esk441_0),
i_0_3194 ).
cnf(c_0_3223,negated_conjecture,
m1_subset_1(esk443_0,k1_zfmisc_1(esk441_0)),
i_0_3195 ).
cnf(c_0_3224,plain,
( m1_subset_1(k8_relset_2(X1,X2,X3,X4),k1_zfmisc_1(X2))
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_3217,c_0_3219]) ).
cnf(c_0_3225,negated_conjecture,
( k8_relset_2(esk440_0,esk441_0,k8_relset_2(esk441_0,esk440_0,k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k6_relset_1(esk440_0,esk441_0,esk444_0)),esk444_0) != k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0)
| ~ m1_subset_1(k8_relset_2(esk440_0,esk441_0,k8_relset_2(esk441_0,esk440_0,esk443_0,k6_relset_1(esk440_0,esk441_0,esk444_0)),esk444_0),k1_zfmisc_1(esk441_0))
| ~ m1_subset_1(k6_relset_1(esk440_0,esk441_0,esk444_0),k1_zfmisc_1(k2_zfmisc_1(esk441_0,esk440_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3220,c_0_3221]),c_0_3222]),c_0_3223])]) ).
cnf(c_0_3226,plain,
( k8_relset_2(X1,X2,k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X4),k6_relset_1(X1,X2,X4)),X4) = k8_relset_2(X1,X2,X3,X4)
| ~ m2_relset_1(X4,X1,X2)
| ~ m1_subset_1(k8_relset_2(X2,X1,k8_relset_2(X1,X2,X3,X4),k6_relset_1(X1,X2,X4)),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3215,c_0_3218]),c_0_3219]),c_0_3224]),c_0_3216]) ).
cnf(c_0_3227,negated_conjecture,
m1_subset_1(esk442_0,k1_zfmisc_1(esk440_0)),
i_0_3196 ).
cnf(c_0_3228,negated_conjecture,
( ~ m1_subset_1(k8_relset_2(esk440_0,esk441_0,k8_relset_2(esk441_0,esk440_0,esk443_0,k6_relset_1(esk440_0,esk441_0,esk444_0)),esk444_0),k1_zfmisc_1(esk441_0))
| ~ m1_subset_1(k8_relset_2(esk441_0,esk440_0,k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k6_relset_1(esk440_0,esk441_0,esk444_0)),k1_zfmisc_1(esk440_0))
| ~ m1_subset_1(k6_relset_1(esk440_0,esk441_0,esk444_0),k1_zfmisc_1(k2_zfmisc_1(esk441_0,esk440_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3225,c_0_3226]),c_0_3222]),c_0_3227])]) ).
cnf(c_0_3229,plain,
( ~ m2_relset_1(k6_relset_1(esk440_0,esk441_0,esk444_0),esk441_0,esk440_0)
| ~ m1_subset_1(k8_relset_2(esk440_0,esk441_0,k8_relset_2(esk441_0,esk440_0,esk443_0,k6_relset_1(esk440_0,esk441_0,esk444_0)),esk444_0),k1_zfmisc_1(esk441_0))
| ~ m1_subset_1(k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k1_zfmisc_1(esk441_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3228,c_0_3224]),c_0_3219]) ).
cnf(c_0_3230,plain,
( ~ m2_relset_1(k6_relset_1(esk440_0,esk441_0,esk444_0),esk441_0,esk440_0)
| ~ m1_subset_1(k8_relset_2(esk441_0,esk440_0,esk443_0,k6_relset_1(esk440_0,esk441_0,esk444_0)),k1_zfmisc_1(esk440_0))
| ~ m1_subset_1(k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k1_zfmisc_1(esk441_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3229,c_0_3224]),c_0_3222])]) ).
cnf(c_0_3231,plain,
( ~ m2_relset_1(k6_relset_1(esk440_0,esk441_0,esk444_0),esk441_0,esk440_0)
| ~ m1_subset_1(k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k1_zfmisc_1(esk441_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3230,c_0_3224]),c_0_3223])]) ).
cnf(c_0_3232,plain,
( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m1_relset_1(X3,X1,X2) ),
i_0_633 ).
cnf(c_0_3233,plain,
( ~ m1_relset_1(esk444_0,esk440_0,esk441_0)
| ~ m1_subset_1(k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k1_zfmisc_1(esk441_0)) ),
inference(spm,[status(thm)],[c_0_3231,c_0_3232]) ).
cnf(c_0_3234,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1063 ).
cnf(c_0_3235,plain,
~ m1_subset_1(k8_relset_2(esk440_0,esk441_0,esk442_0,esk444_0),k1_zfmisc_1(esk441_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3233,c_0_3234]),c_0_3222])]) ).
cnf(c_0_3236,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3235,c_0_3224]),c_0_3222]),c_0_3227])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU450+2 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jun 19 08:19:26 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.44 # ENIGMATIC: Selected SinE mode:
% 0.42/0.61 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.61 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.42/0.61 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.42/0.61 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.53/4.08 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.53/4.08 # No SInE strategy applied
% 11.53/4.08 # Trying AutoSched0 for 150 seconds
% 11.53/4.08 # AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 11.53/4.08 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.53/4.08 #
% 11.53/4.08 # Preprocessing time : 0.047 s
% 11.53/4.08
% 11.53/4.08 # Proof found!
% 11.53/4.08 # SZS status Theorem
% 11.53/4.08 # SZS output start CNFRefutation
% See solution above
% 11.53/4.08 # Training examples: 0 positive, 0 negative
% 11.53/4.08
% 11.53/4.08 # -------------------------------------------------
% 11.53/4.08 # User time : 0.371 s
% 11.53/4.08 # System time : 0.014 s
% 11.53/4.08 # Total time : 0.384 s
% 11.53/4.08 # Maximum resident set size: 7124 pages
% 11.53/4.08
%------------------------------------------------------------------------------