TSTP Solution File: GRP631+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP631+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 08:39:40 EDT 2022
% Result : Theorem 14.63s 5.37s
% Output : CNFRefutation 14.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 33 ( 14 unt; 14 nHn; 33 RR)
% Number of literals : 111 ( 24 equ; 72 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-5 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3239,negated_conjecture,
( k7_funct_2(u1_struct_0(esk519_0),u1_struct_0(esk519_0),u1_struct_0(esk519_0),k6_autgroup(esk519_0,esk520_0),k6_autgroup(esk519_0,k2_group_1(esk519_0))) != k6_autgroup(esk519_0,esk520_0)
| k7_funct_2(u1_struct_0(esk519_0),u1_struct_0(esk519_0),u1_struct_0(esk519_0),k6_autgroup(esk519_0,k2_group_1(esk519_0)),k6_autgroup(esk519_0,esk520_0)) != k6_autgroup(esk519_0,esk520_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_3239) ).
cnf(i_0_2904,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) = k6_autgroup(X1,k1_group_1(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_2904) ).
cnf(i_0_3242,negated_conjecture,
v4_group_1(esk519_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_3242) ).
cnf(i_0_3243,negated_conjecture,
v3_group_1(esk519_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_3243) ).
cnf(i_0_3244,negated_conjecture,
v1_group_1(esk519_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_3244) ).
cnf(i_0_3241,negated_conjecture,
l1_group_1(esk519_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_3241) ).
cnf(i_0_3240,negated_conjecture,
m1_subset_1(esk520_0,u1_struct_0(esk519_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_3240) ).
cnf(i_0_3245,negated_conjecture,
~ v3_struct_0(esk519_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_3245) ).
cnf(i_0_3846,plain,
( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
| v3_struct_0(X1)
| k2_group_5(X1,X2,X3) != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_3846) ).
cnf(i_0_2863,plain,
( k2_group_5(X1,X2,k2_group_1(X1)) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_2863) ).
cnf(i_0_856,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_856) ).
cnf(i_0_629,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_629) ).
cnf(i_0_22,plain,
( v3_struct_0(X1)
| v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5v8vusqg/lgb.p',i_0_22) ).
cnf(c_0_3860,negated_conjecture,
( k7_funct_2(u1_struct_0(esk519_0),u1_struct_0(esk519_0),u1_struct_0(esk519_0),k6_autgroup(esk519_0,esk520_0),k6_autgroup(esk519_0,k2_group_1(esk519_0))) != k6_autgroup(esk519_0,esk520_0)
| k7_funct_2(u1_struct_0(esk519_0),u1_struct_0(esk519_0),u1_struct_0(esk519_0),k6_autgroup(esk519_0,k2_group_1(esk519_0)),k6_autgroup(esk519_0,esk520_0)) != k6_autgroup(esk519_0,esk520_0) ),
i_0_3239 ).
cnf(c_0_3861,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) = k6_autgroup(X1,k1_group_1(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2904 ).
cnf(c_0_3862,negated_conjecture,
v4_group_1(esk519_0),
i_0_3242 ).
cnf(c_0_3863,negated_conjecture,
v3_group_1(esk519_0),
i_0_3243 ).
cnf(c_0_3864,negated_conjecture,
v1_group_1(esk519_0),
i_0_3244 ).
cnf(c_0_3865,negated_conjecture,
l1_group_1(esk519_0),
i_0_3241 ).
cnf(c_0_3866,negated_conjecture,
m1_subset_1(esk520_0,u1_struct_0(esk519_0)),
i_0_3240 ).
cnf(c_0_3867,negated_conjecture,
~ v3_struct_0(esk519_0),
i_0_3245 ).
cnf(c_0_3868,negated_conjecture,
( k7_funct_2(u1_struct_0(esk519_0),u1_struct_0(esk519_0),u1_struct_0(esk519_0),k6_autgroup(esk519_0,esk520_0),k6_autgroup(esk519_0,k2_group_1(esk519_0))) != k6_autgroup(esk519_0,esk520_0)
| k6_autgroup(esk519_0,k1_group_1(esk519_0,k2_group_1(esk519_0),esk520_0)) != k6_autgroup(esk519_0,esk520_0)
| ~ m1_subset_1(k2_group_1(esk519_0),u1_struct_0(esk519_0)) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3860,c_0_3861]),c_0_3862]),c_0_3863]),c_0_3864]),c_0_3865]),c_0_3866])]),c_0_3867]) ).
cnf(c_0_3869,plain,
( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
| v3_struct_0(X1)
| k2_group_5(X1,X2,X3) != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_3846 ).
cnf(c_0_3870,plain,
( k2_group_5(X1,X2,k2_group_1(X1)) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_2863 ).
cnf(c_0_3871,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
i_0_856 ).
cnf(c_0_3872,plain,
( k6_autgroup(esk519_0,k1_group_1(esk519_0,esk520_0,k2_group_1(esk519_0))) != k6_autgroup(esk519_0,esk520_0)
| k6_autgroup(esk519_0,k1_group_1(esk519_0,k2_group_1(esk519_0),esk520_0)) != k6_autgroup(esk519_0,esk520_0)
| ~ m1_subset_1(k2_group_1(esk519_0),u1_struct_0(esk519_0)) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3868,c_0_3861]),c_0_3862]),c_0_3863]),c_0_3864]),c_0_3865]),c_0_3866])]),c_0_3867]) ).
cnf(c_0_3873,plain,
( k1_group_1(X1,X2,k2_group_1(X1)) = k1_group_1(X1,k2_group_1(X1),X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3869,c_0_3870]),c_0_3871]) ).
cnf(c_0_3874,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v2_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_629 ).
cnf(c_0_3875,plain,
( v3_struct_0(X1)
| v2_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_22 ).
cnf(c_0_3876,plain,
( k6_autgroup(esk519_0,k1_group_1(esk519_0,esk520_0,k2_group_1(esk519_0))) != k6_autgroup(esk519_0,esk520_0)
| ~ m1_subset_1(k2_group_1(esk519_0),u1_struct_0(esk519_0)) ),
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_3872,c_0_3873]),c_0_3862]),c_0_3863]),c_0_3865]),c_0_3866])]),c_0_3867]) ).
cnf(c_0_3877,plain,
( k1_group_1(X1,X2,X3) = X2
| v3_struct_0(X1)
| X3 != k2_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_3874,c_0_3875]) ).
cnf(c_0_3878,plain,
~ m1_subset_1(k2_group_1(esk519_0),u1_struct_0(esk519_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_3876,c_0_3877]),c_0_3863]),c_0_3865]),c_0_3866])]),c_0_3867]) ).
cnf(c_0_3879,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3878,c_0_3871]),c_0_3865])]),c_0_3867]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP631+3 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 22:48:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.69/0.89 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.89 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.69/0.89 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.69/0.89 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 14.63/5.37 # ENIGMATIC: Solved by autoschedule-lgb:
% 14.63/5.37 # No SInE strategy applied
% 14.63/5.37 # Trying AutoSched0 for 149 seconds
% 14.63/5.37 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 14.63/5.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 14.63/5.37 #
% 14.63/5.37 # Preprocessing time : 0.032 s
% 14.63/5.37
% 14.63/5.37 # Proof found!
% 14.63/5.37 # SZS status Theorem
% 14.63/5.37 # SZS output start CNFRefutation
% See solution above
% 14.63/5.37 # Training examples: 0 positive, 0 negative
% 14.63/5.37
% 14.63/5.37 # -------------------------------------------------
% 14.63/5.37 # User time : 0.404 s
% 14.63/5.37 # System time : 0.019 s
% 14.63/5.37 # Total time : 0.423 s
% 14.63/5.37 # Maximum resident set size: 7124 pages
% 14.63/5.37
%------------------------------------------------------------------------------