TSTP Solution File: GRP639+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP639+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 10.94s 4.10s
% Output : CNFRefutation 10.94s
% 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_1054,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-5mx2g16r/lgb.p',i_0_1054) ).
cnf(i_0_1364,negated_conjecture,
v1_funct_2(esk256_0,u1_struct_0(esk254_0),u1_struct_0(esk255_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1364) ).
cnf(i_0_1365,negated_conjecture,
v1_funct_1(esk256_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1365) ).
cnf(i_0_1073,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1073) ).
cnf(i_0_1363,negated_conjecture,
m2_relset_1(esk256_0,u1_struct_0(esk254_0),u1_struct_0(esk255_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1363) ).
cnf(i_0_18,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-5mx2g16r/lgb.p',i_0_18) ).
cnf(i_0_714,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-5mx2g16r/lgb.p',i_0_714) ).
cnf(i_0_1361,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk254_0),u1_struct_0(esk255_0),esk256_0,esk257_0),k2_funct_2(u1_struct_0(esk254_0),u1_struct_0(esk255_0),esk256_0,u1_struct_0(k5_group_4(esk254_0,esk257_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1361) ).
cnf(i_0_1687,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-5mx2g16r/lgb.p',i_0_1687) ).
cnf(i_0_452,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(X3))
| X3 != k5_group_4(X1,X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_452) ).
cnf(i_0_648,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-5mx2g16r/lgb.p',i_0_648) ).
cnf(i_0_647,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-5mx2g16r/lgb.p',i_0_647) ).
cnf(i_0_1371,negated_conjecture,
v4_group_1(esk254_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1371) ).
cnf(i_0_1372,negated_conjecture,
v3_group_1(esk254_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1372) ).
cnf(i_0_1370,negated_conjecture,
l1_group_1(esk254_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1370) ).
cnf(i_0_1362,negated_conjecture,
m1_subset_1(esk257_0,k1_zfmisc_1(u1_struct_0(esk254_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1362) ).
cnf(i_0_1373,negated_conjecture,
~ v3_struct_0(esk254_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5mx2g16r/lgb.p',i_0_1373) ).
cnf(c_0_1705,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_1054 ).
cnf(c_0_1706,negated_conjecture,
v1_funct_2(esk256_0,u1_struct_0(esk254_0),u1_struct_0(esk255_0)),
i_0_1364 ).
cnf(c_0_1707,negated_conjecture,
v1_funct_1(esk256_0),
i_0_1365 ).
cnf(c_0_1708,negated_conjecture,
( k2_funct_2(u1_struct_0(esk254_0),u1_struct_0(esk255_0),esk256_0,X1) = k9_relat_1(esk256_0,X1)
| ~ m1_relset_1(esk256_0,u1_struct_0(esk254_0),u1_struct_0(esk255_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1705,c_0_1706]),c_0_1707])]) ).
cnf(c_0_1709,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1073 ).
cnf(c_0_1710,negated_conjecture,
m2_relset_1(esk256_0,u1_struct_0(esk254_0),u1_struct_0(esk255_0)),
i_0_1363 ).
cnf(c_0_1711,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_18 ).
cnf(c_0_1712,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_714 ).
cnf(c_0_1713,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk254_0),u1_struct_0(esk255_0),esk256_0,esk257_0),k2_funct_2(u1_struct_0(esk254_0),u1_struct_0(esk255_0),esk256_0,u1_struct_0(k5_group_4(esk254_0,esk257_0)))),
i_0_1361 ).
cnf(c_0_1714,plain,
k2_funct_2(u1_struct_0(esk254_0),u1_struct_0(esk255_0),esk256_0,X1) = k9_relat_1(esk256_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1709]),c_0_1710])]) ).
cnf(c_0_1715,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_1711,c_0_1712]) ).
cnf(c_0_1716,negated_conjecture,
~ r1_tarski(k9_relat_1(esk256_0,esk257_0),k9_relat_1(esk256_0,u1_struct_0(k5_group_4(esk254_0,esk257_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1713,c_0_1714]),c_0_1714]) ).
cnf(c_0_1717,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
i_0_1687 ).
cnf(c_0_1718,negated_conjecture,
v1_relat_1(esk256_0),
inference(spm,[status(thm)],[c_0_1715,c_0_1710]) ).
cnf(c_0_1719,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(X3))
| X3 != k5_group_4(X1,X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_452 ).
cnf(c_0_1720,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_648 ).
cnf(c_0_1721,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_647 ).
cnf(c_0_1722,plain,
~ r1_tarski(esk257_0,u1_struct_0(k5_group_4(esk254_0,esk257_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1716,c_0_1717]),c_0_1718])]) ).
cnf(c_0_1723,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_1719]),c_0_1720]),c_0_1721]) ).
cnf(c_0_1724,negated_conjecture,
v4_group_1(esk254_0),
i_0_1371 ).
cnf(c_0_1725,negated_conjecture,
v3_group_1(esk254_0),
i_0_1372 ).
cnf(c_0_1726,negated_conjecture,
l1_group_1(esk254_0),
i_0_1370 ).
cnf(c_0_1727,negated_conjecture,
m1_subset_1(esk257_0,k1_zfmisc_1(u1_struct_0(esk254_0))),
i_0_1362 ).
cnf(c_0_1728,negated_conjecture,
~ v3_struct_0(esk254_0),
i_0_1373 ).
cnf(c_0_1729,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_1722,c_0_1723]),c_0_1724]),c_0_1725]),c_0_1726]),c_0_1727])]),c_0_1728]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP639+2 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.16/0.36 % Computer : n024.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Tue Jun 14 11:57:50 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.22/0.48 # ENIGMATIC: Selected SinE mode:
% 0.47/0.70 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.47/0.70 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.47/0.70 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.94/4.10 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.94/4.10 # No SInE strategy applied
% 10.94/4.10 # Trying AutoSched0 for 150 seconds
% 10.94/4.10 # AutoSched0-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S0Y
% 10.94/4.10 # and selection function SelectMaxLComplexAvoidPosPred.
% 10.94/4.10 #
% 10.94/4.10 # Preprocessing time : 0.025 s
% 10.94/4.10
% 10.94/4.10 # Proof found!
% 10.94/4.10 # SZS status Theorem
% 10.94/4.10 # SZS output start CNFRefutation
% See solution above
% 10.94/4.10 # Training examples: 0 positive, 0 negative
% 10.94/4.10
% 10.94/4.10 # -------------------------------------------------
% 10.94/4.10 # User time : 0.031 s
% 10.94/4.10 # System time : 0.008 s
% 10.94/4.10 # Total time : 0.039 s
% 10.94/4.10 # Maximum resident set size: 7128 pages
% 10.94/4.10
%------------------------------------------------------------------------------