TSTP Solution File: GRP639+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP639+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 08:39:45 EDT 2022
% Result : Theorem 7.63s 2.45s
% Output : CNFRefutation 7.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of clauses : 44 ( 22 unt; 7 nHn; 42 RR)
% Number of literals : 107 ( 4 equ; 65 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 : 51 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_1) ).
cnf(i_0_82,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_82) ).
cnf(i_0_4,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v1_funct_1(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_5) ).
cnf(i_0_86,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-6t1j4r7u/input.p',i_0_86) ).
cnf(i_0_84,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_84) ).
cnf(i_0_3,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_3) ).
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-6t1j4r7u/input.p',i_0_18) ).
cnf(i_0_48,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-6t1j4r7u/input.p',i_0_48) ).
cnf(i_0_31,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(X3))
| X3 != k5_group_4(X1,X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_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-6t1j4r7u/input.p',i_0_31) ).
cnf(i_0_38,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_38) ).
cnf(i_0_39,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_39) ).
cnf(i_0_2,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_2) ).
cnf(i_0_10,negated_conjecture,
l1_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_10) ).
cnf(i_0_11,negated_conjecture,
v4_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_11) ).
cnf(i_0_12,negated_conjecture,
v3_group_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_12) ).
cnf(i_0_13,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6t1j4r7u/input.p',i_0_13) ).
cnf(c_0_104,negated_conjecture,
~ r1_tarski(k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))),
i_0_1 ).
cnf(c_0_105,plain,
( k2_funct_2(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X1,X2)
| ~ m1_relset_1(X3,X1,X2) ),
i_0_82 ).
cnf(c_0_106,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_4 ).
cnf(c_0_107,negated_conjecture,
v1_funct_1(esk3_0),
i_0_5 ).
cnf(c_0_108,negated_conjecture,
( ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ r1_tarski(k9_relat_1(esk3_0,esk4_0),k2_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_107])]) ).
cnf(c_0_109,plain,
( ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ r1_tarski(k9_relat_1(esk3_0,esk4_0),k9_relat_1(esk3_0,u1_struct_0(k5_group_4(esk1_0,esk4_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_105]),c_0_106]),c_0_107])]) ).
cnf(c_0_110,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
i_0_86 ).
cnf(c_0_111,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_84 ).
cnf(c_0_112,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
i_0_3 ).
cnf(c_0_113,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
i_0_18 ).
cnf(c_0_114,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
i_0_48 ).
cnf(c_0_115,plain,
( ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_relat_1(esk3_0)
| ~ r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_117,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
( ~ v1_relat_1(esk3_0)
| ~ r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116])]) ).
cnf(c_0_119,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_117,c_0_112]) ).
cnf(c_0_120,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(X3))
| X3 != k5_group_4(X1,X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_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_31 ).
cnf(c_0_121,plain,
( v3_struct_0(X1)
| m1_group_2(k5_group_4(X1,X2),X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_38 ).
cnf(c_0_122,plain,
( v3_struct_0(X1)
| v1_group_1(k5_group_4(X1,X2))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_39 ).
cnf(c_0_123,plain,
~ r1_tarski(esk4_0,u1_struct_0(k5_group_4(esk1_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]) ).
cnf(c_0_124,plain,
( v3_struct_0(X1)
| r1_tarski(X2,u1_struct_0(k5_group_4(X1,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_120]),c_0_121]),c_0_122]) ).
cnf(c_0_125,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_2 ).
cnf(c_0_126,negated_conjecture,
l1_group_1(esk1_0),
i_0_10 ).
cnf(c_0_127,negated_conjecture,
v4_group_1(esk1_0),
i_0_11 ).
cnf(c_0_128,negated_conjecture,
v3_group_1(esk1_0),
i_0_12 ).
cnf(c_0_129,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_13 ).
cnf(c_0_130,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_123,c_0_124]),c_0_125]),c_0_126]),c_0_127]),c_0_128])]),c_0_129]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP639+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 11:47:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 7.63/2.45 # ENIGMATIC: Solved by autoschedule:
% 7.63/2.45 # No SInE strategy applied
% 7.63/2.45 # Trying AutoSched0 for 150 seconds
% 7.63/2.45 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.63/2.45 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.63/2.45 #
% 7.63/2.45 # Preprocessing time : 0.018 s
% 7.63/2.45
% 7.63/2.45 # Proof found!
% 7.63/2.45 # SZS status Theorem
% 7.63/2.45 # SZS output start CNFRefutation
% See solution above
% 7.63/2.45 # Training examples: 0 positive, 0 negative
% 7.63/2.45
% 7.63/2.45 # -------------------------------------------------
% 7.63/2.45 # User time : 0.026 s
% 7.63/2.45 # System time : 0.009 s
% 7.63/2.45 # Total time : 0.035 s
% 7.63/2.45 # Maximum resident set size: 7124 pages
% 7.63/2.45
%------------------------------------------------------------------------------