TSTP Solution File: GRP639+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP639+3 : 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 : Sat Jul 16 08:39:46 EDT 2022
% Result : Theorem 10.54s 4.52s
% Output : CNFRefutation 10.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 42 ( 23 unt; 7 nHn; 38 RR)
% Number of literals : 101 ( 6 equ; 58 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 53 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1368,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1368) ).
cnf(i_0_1724,negated_conjecture,
v1_funct_2(esk305_0,u1_struct_0(esk303_0),u1_struct_0(esk304_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1724) ).
cnf(i_0_1725,negated_conjecture,
v1_funct_1(esk305_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1725) ).
cnf(i_0_1387,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1387) ).
cnf(i_0_1723,negated_conjecture,
m2_relset_1(esk305_0,u1_struct_0(esk303_0),u1_struct_0(esk304_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1723) ).
cnf(i_0_35,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_35) ).
cnf(i_0_837,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-zide13al/lgb.p',i_0_837) ).
cnf(i_0_1721,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk303_0),u1_struct_0(esk304_0),esk305_0,esk306_0),k2_funct_2(u1_struct_0(esk303_0),u1_struct_0(esk304_0),esk305_0,u1_struct_0(k5_group_4(esk303_0,esk306_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1721) ).
cnf(i_0_2048,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_2048) ).
cnf(i_0_555,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(X3))
| X3 != k5_group_4(X1,X2)
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_555) ).
cnf(i_0_759,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_759) ).
cnf(i_0_758,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_758) ).
cnf(i_0_1731,negated_conjecture,
v4_group_1(esk303_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1731) ).
cnf(i_0_1732,negated_conjecture,
v3_group_1(esk303_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1732) ).
cnf(i_0_1730,negated_conjecture,
l1_group_1(esk303_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1730) ).
cnf(i_0_1722,negated_conjecture,
m1_subset_1(esk306_0,k1_zfmisc_1(u1_struct_0(esk303_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1722) ).
cnf(i_0_1733,negated_conjecture,
~ v3_struct_0(esk303_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zide13al/lgb.p',i_0_1733) ).
cnf(c_0_2066,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
i_0_1368 ).
cnf(c_0_2067,negated_conjecture,
v1_funct_2(esk305_0,u1_struct_0(esk303_0),u1_struct_0(esk304_0)),
i_0_1724 ).
cnf(c_0_2068,negated_conjecture,
v1_funct_1(esk305_0),
i_0_1725 ).
cnf(c_0_2069,negated_conjecture,
( k2_funct_2(u1_struct_0(esk303_0),u1_struct_0(esk304_0),esk305_0,X1) = k9_relat_1(esk305_0,X1)
| ~ m1_relset_1(esk305_0,u1_struct_0(esk303_0),u1_struct_0(esk304_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2066,c_0_2067]),c_0_2068])]) ).
cnf(c_0_2070,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1387 ).
cnf(c_0_2071,negated_conjecture,
m2_relset_1(esk305_0,u1_struct_0(esk303_0),u1_struct_0(esk304_0)),
i_0_1723 ).
cnf(c_0_2072,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_35 ).
cnf(c_0_2073,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_837 ).
cnf(c_0_2074,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk303_0),u1_struct_0(esk304_0),esk305_0,esk306_0),k2_funct_2(u1_struct_0(esk303_0),u1_struct_0(esk304_0),esk305_0,u1_struct_0(k5_group_4(esk303_0,esk306_0)))),
i_0_1721 ).
cnf(c_0_2075,plain,
k2_funct_2(u1_struct_0(esk303_0),u1_struct_0(esk304_0),esk305_0,X1) = k9_relat_1(esk305_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2069,c_0_2070]),c_0_2071])]) ).
cnf(c_0_2076,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_2072,c_0_2073]) ).
cnf(c_0_2077,negated_conjecture,
~ r1_tarski(k9_relat_1(esk305_0,esk306_0),k9_relat_1(esk305_0,u1_struct_0(k5_group_4(esk303_0,esk306_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2074,c_0_2075]),c_0_2075]) ).
cnf(c_0_2078,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
i_0_2048 ).
cnf(c_0_2079,negated_conjecture,
v1_relat_1(esk305_0),
inference(spm,[status(thm)],[c_0_2076,c_0_2071]) ).
cnf(c_0_2080,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(X3))
| X3 != k5_group_4(X1,X2)
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_555 ).
cnf(c_0_2081,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_759 ).
cnf(c_0_2082,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_758 ).
cnf(c_0_2083,plain,
~ r1_tarski(esk306_0,u1_struct_0(k5_group_4(esk303_0,esk306_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2077,c_0_2078]),c_0_2079])]) ).
cnf(c_0_2084,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(k5_group_4(X1,X2)))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2080]),c_0_2081]),c_0_2082]) ).
cnf(c_0_2085,negated_conjecture,
v4_group_1(esk303_0),
i_0_1731 ).
cnf(c_0_2086,negated_conjecture,
v3_group_1(esk303_0),
i_0_1732 ).
cnf(c_0_2087,negated_conjecture,
l1_group_1(esk303_0),
i_0_1730 ).
cnf(c_0_2088,negated_conjecture,
m1_subset_1(esk306_0,k1_zfmisc_1(u1_struct_0(esk303_0))),
i_0_1722 ).
cnf(c_0_2089,negated_conjecture,
~ v3_struct_0(esk303_0),
i_0_1733 ).
cnf(c_0_2090,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2083,c_0_2084]),c_0_2085]),c_0_2086]),c_0_2087]),c_0_2088])]),c_0_2089]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP639+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.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 : Mon Jun 13 20:30:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.68/0.92 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.92 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.68/0.92 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.68/0.92 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.54/4.52 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.54/4.52 # No SInE strategy applied
% 10.54/4.52 # Trying AutoSched0 for 149 seconds
% 10.54/4.52 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 10.54/4.52 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.54/4.52 #
% 10.54/4.52 # Preprocessing time : 0.026 s
% 10.54/4.52
% 10.54/4.52 # Proof found!
% 10.54/4.52 # SZS status Theorem
% 10.54/4.52 # SZS output start CNFRefutation
% See solution above
% 10.54/4.52 # Training examples: 0 positive, 0 negative
% 10.54/4.52
% 10.54/4.52 # -------------------------------------------------
% 10.54/4.52 # User time : 0.030 s
% 10.54/4.52 # System time : 0.007 s
% 10.54/4.52 # Total time : 0.037 s
% 10.54/4.52 # Maximum resident set size: 7128 pages
% 10.54/4.52
%------------------------------------------------------------------------------