TSTP Solution File: GRP639+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP639+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n016.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 12.41s 5.78s
% Output : CNFRefutation 12.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 17
% Syntax : Number of clauses : 44 ( 23 unt; 6 nHn; 40 RR)
% Number of literals : 106 ( 9 equ; 62 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 : 54 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1211,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/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1211) ).
cnf(i_0_1546,negated_conjecture,
v1_funct_2(esk292_0,u1_struct_0(esk290_0),u1_struct_0(esk291_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1546) ).
cnf(i_0_1547,negated_conjecture,
v1_funct_1(esk292_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1547) ).
cnf(i_0_1230,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1230) ).
cnf(i_0_1545,negated_conjecture,
m2_relset_1(esk292_0,u1_struct_0(esk290_0),u1_struct_0(esk291_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1545) ).
cnf(i_0_27,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_27) ).
cnf(i_0_692,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_692) ).
cnf(i_0_471,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/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_471) ).
cnf(i_0_1544,negated_conjecture,
m1_subset_1(esk293_0,k1_zfmisc_1(u1_struct_0(esk290_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1544) ).
cnf(i_0_1553,negated_conjecture,
v4_group_1(esk290_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1553) ).
cnf(i_0_1554,negated_conjecture,
v3_group_1(esk290_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1554) ).
cnf(i_0_1552,negated_conjecture,
l1_group_1(esk290_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1552) ).
cnf(i_0_1555,negated_conjecture,
~ v3_struct_0(esk290_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1555) ).
cnf(i_0_1543,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk290_0),u1_struct_0(esk291_0),esk292_0,esk293_0),k2_funct_2(u1_struct_0(esk290_0),u1_struct_0(esk291_0),esk292_0,u1_struct_0(k5_group_4(esk290_0,esk293_0)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1543) ).
cnf(i_0_632,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/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_632) ).
cnf(i_0_1877,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_1877) ).
cnf(i_0_633,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/sandbox2/tmp/enigma-theBenchmark.p-515vogmy/lgb.p',i_0_633) ).
cnf(c_0_1895,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_1211 ).
cnf(c_0_1896,negated_conjecture,
v1_funct_2(esk292_0,u1_struct_0(esk290_0),u1_struct_0(esk291_0)),
i_0_1546 ).
cnf(c_0_1897,negated_conjecture,
v1_funct_1(esk292_0),
i_0_1547 ).
cnf(c_0_1898,negated_conjecture,
( k2_funct_2(u1_struct_0(esk290_0),u1_struct_0(esk291_0),esk292_0,X1) = k9_relat_1(esk292_0,X1)
| ~ m1_relset_1(esk292_0,u1_struct_0(esk290_0),u1_struct_0(esk291_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1895,c_0_1896]),c_0_1897])]) ).
cnf(c_0_1899,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1230 ).
cnf(c_0_1900,negated_conjecture,
m2_relset_1(esk292_0,u1_struct_0(esk290_0),u1_struct_0(esk291_0)),
i_0_1545 ).
cnf(c_0_1901,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_27 ).
cnf(c_0_1902,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_692 ).
cnf(c_0_1903,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_471 ).
cnf(c_0_1904,negated_conjecture,
m1_subset_1(esk293_0,k1_zfmisc_1(u1_struct_0(esk290_0))),
i_0_1544 ).
cnf(c_0_1905,negated_conjecture,
v4_group_1(esk290_0),
i_0_1553 ).
cnf(c_0_1906,negated_conjecture,
v3_group_1(esk290_0),
i_0_1554 ).
cnf(c_0_1907,negated_conjecture,
l1_group_1(esk290_0),
i_0_1552 ).
cnf(c_0_1908,negated_conjecture,
~ v3_struct_0(esk290_0),
i_0_1555 ).
cnf(c_0_1909,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk290_0),u1_struct_0(esk291_0),esk292_0,esk293_0),k2_funct_2(u1_struct_0(esk290_0),u1_struct_0(esk291_0),esk292_0,u1_struct_0(k5_group_4(esk290_0,esk293_0)))),
i_0_1543 ).
cnf(c_0_1910,plain,
k2_funct_2(u1_struct_0(esk290_0),u1_struct_0(esk291_0),esk292_0,X1) = k9_relat_1(esk292_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1898,c_0_1899]),c_0_1900])]) ).
cnf(c_0_1911,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_1901,c_0_1902]) ).
cnf(c_0_1912,negated_conjecture,
( r1_tarski(esk293_0,u1_struct_0(X1))
| X1 != k5_group_4(esk290_0,esk293_0)
| ~ m1_group_2(X1,esk290_0)
| ~ v1_group_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1903,c_0_1904]),c_0_1905]),c_0_1906]),c_0_1907])]),c_0_1908]) ).
cnf(c_0_1913,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_632 ).
cnf(c_0_1914,negated_conjecture,
~ r1_tarski(k9_relat_1(esk292_0,esk293_0),k9_relat_1(esk292_0,u1_struct_0(k5_group_4(esk290_0,esk293_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1909,c_0_1910]),c_0_1910]) ).
cnf(c_0_1915,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
i_0_1877 ).
cnf(c_0_1916,negated_conjecture,
v1_relat_1(esk292_0),
inference(spm,[status(thm)],[c_0_1911,c_0_1900]) ).
cnf(c_0_1917,plain,
( r1_tarski(esk293_0,u1_struct_0(k5_group_4(esk290_0,X1)))
| k5_group_4(esk290_0,X1) != k5_group_4(esk290_0,esk293_0)
| ~ v1_group_1(k5_group_4(esk290_0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk290_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1912,c_0_1913]),c_0_1905]),c_0_1906]),c_0_1907])]),c_0_1908]) ).
cnf(c_0_1918,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_633 ).
cnf(c_0_1919,plain,
~ r1_tarski(esk293_0,u1_struct_0(k5_group_4(esk290_0,esk293_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1914,c_0_1915]),c_0_1916])]) ).
cnf(c_0_1920,plain,
( r1_tarski(esk293_0,u1_struct_0(k5_group_4(esk290_0,X1)))
| k5_group_4(esk290_0,X1) != k5_group_4(esk290_0,esk293_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk290_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1917,c_0_1918]),c_0_1905]),c_0_1906]),c_0_1907])]),c_0_1908]) ).
cnf(c_0_1921,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1919,c_0_1920]),c_0_1904])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP639+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n016.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 07:31:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 1.44/1.66 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.44/1.66 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.44/1.66 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.44/1.66 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 12.41/5.78 # ENIGMATIC: Solved by autoschedule-lgb:
% 12.41/5.78 # No SInE strategy applied
% 12.41/5.78 # Trying AutoSched0 for 149 seconds
% 12.41/5.78 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 12.41/5.78 # and selection function SelectMaxLComplexAvoidPosPred.
% 12.41/5.78 #
% 12.41/5.78 # Preprocessing time : 0.042 s
% 12.41/5.78
% 12.41/5.78 # Proof found!
% 12.41/5.78 # SZS status Theorem
% 12.41/5.78 # SZS output start CNFRefutation
% See solution above
% 12.41/5.78 # Training examples: 0 positive, 0 negative
% 12.41/5.78
% 12.41/5.78 # -------------------------------------------------
% 12.41/5.78 # User time : 0.050 s
% 12.41/5.78 # System time : 0.008 s
% 12.41/5.78 # Total time : 0.057 s
% 12.41/5.78 # Maximum resident set size: 7120 pages
% 12.41/5.78
%------------------------------------------------------------------------------