TSTP Solution File: GRP645+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP645+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 08:39:52 EDT 2022
% Result : Theorem 193.79s 27.99s
% Output : CNFRefutation 193.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 54 ( 26 unt; 21 nHn; 54 RR)
% Number of literals : 188 ( 19 equ; 119 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1859,plain,
( v3_struct_0(X1)
| m1_group_6(X2,X1,X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_1859) ).
cnf(i_0_3202,negated_conjecture,
m1_group_2(esk492_0,esk491_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3202) ).
cnf(i_0_3206,negated_conjecture,
v3_group_1(esk491_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3206) ).
cnf(i_0_3205,negated_conjecture,
v4_group_1(esk491_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3205) ).
cnf(i_0_3204,negated_conjecture,
l1_group_1(esk491_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3204) ).
cnf(i_0_3207,negated_conjecture,
~ v3_struct_0(esk491_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3207) ).
cnf(i_0_1039,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_6(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_1039) ).
cnf(i_0_1917,plain,
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_1917) ).
cnf(i_0_3200,negated_conjecture,
m1_group_2(esk493_0,esk491_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3200) ).
cnf(i_0_417,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v4_group_1(X3)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_417) ).
cnf(i_0_948,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_948) ).
cnf(i_0_947,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_947) ).
cnf(i_0_946,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_946) ).
cnf(i_0_1014,plain,
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_1014) ).
cnf(i_0_173,plain,
( k9_group_2(X1,X2,X3) = k9_group_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_173) ).
cnf(i_0_3201,negated_conjecture,
v1_group_1(esk493_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3201) ).
cnf(i_0_3203,negated_conjecture,
v1_group_1(esk492_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3203) ).
cnf(i_0_3199,negated_conjecture,
k1_setfam_1(k1_enumset1(k1_funct_1(k1_latsubgr(esk491_0),esk492_0),k1_funct_1(k1_latsubgr(esk491_0),esk492_0),k1_funct_1(k1_latsubgr(esk491_0),esk493_0))) != k1_funct_1(k1_latsubgr(esk491_0),k9_group_2(esk491_0,esk492_0,esk493_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3199) ).
cnf(i_0_3149,plain,
( k1_setfam_1(k1_enumset1(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3))) = u1_struct_0(k9_group_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-570aeyvf/lgb.p',i_0_3149) ).
cnf(c_0_3227,plain,
( v3_struct_0(X1)
| m1_group_6(X2,X1,X3)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X3) ),
i_0_1859 ).
cnf(c_0_3228,negated_conjecture,
m1_group_2(esk492_0,esk491_0),
i_0_3202 ).
cnf(c_0_3229,negated_conjecture,
v3_group_1(esk491_0),
i_0_3206 ).
cnf(c_0_3230,negated_conjecture,
v4_group_1(esk491_0),
i_0_3205 ).
cnf(c_0_3231,negated_conjecture,
l1_group_1(esk491_0),
i_0_3204 ).
cnf(c_0_3232,negated_conjecture,
~ v3_struct_0(esk491_0),
i_0_3207 ).
cnf(c_0_3233,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_6(X2,X1,X3) ),
i_0_1039 ).
cnf(c_0_3234,negated_conjecture,
( m1_group_6(X1,esk491_0,esk492_0)
| ~ m1_group_2(X1,esk492_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_3227,c_0_3228]),c_0_3229]),c_0_3230]),c_0_3231])]),c_0_3232]) ).
cnf(c_0_3235,plain,
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_1917 ).
cnf(c_0_3236,negated_conjecture,
m1_group_2(esk493_0,esk491_0),
i_0_3200 ).
cnf(c_0_3237,plain,
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| v3_struct_0(X3)
| X1 != k1_latsubgr(X3)
| ~ l1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v4_group_1(X3)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ m1_group_2(X2,X3)
| ~ v1_funct_2(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m2_relset_1(X1,k1_group_3(X3),k1_zfmisc_1(u1_struct_0(X3))) ),
i_0_417 ).
cnf(c_0_3238,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_948 ).
cnf(c_0_3239,plain,
( v3_struct_0(X1)
| v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_947 ).
cnf(c_0_3240,plain,
( v3_struct_0(X1)
| m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
i_0_946 ).
cnf(c_0_3241,plain,
( m1_group_2(X1,esk491_0)
| ~ m1_group_2(X1,esk492_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_3233,c_0_3234]),c_0_3229]),c_0_3230]),c_0_3231]),c_0_3228])]),c_0_3232]) ).
cnf(c_0_3242,negated_conjecture,
( m1_group_2(k9_group_2(esk491_0,X1,esk493_0),X1)
| ~ m1_group_2(X1,esk491_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_3235,c_0_3236]),c_0_3229]),c_0_3230]),c_0_3231])]),c_0_3232]) ).
cnf(c_0_3243,plain,
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_1014 ).
cnf(c_0_3244,plain,
( k9_group_2(X1,X2,X3) = k9_group_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_173 ).
cnf(c_0_3245,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_3237]),c_0_3238]),c_0_3239]),c_0_3240]) ).
cnf(c_0_3246,negated_conjecture,
v1_group_1(esk493_0),
i_0_3201 ).
cnf(c_0_3247,negated_conjecture,
v1_group_1(esk492_0),
i_0_3203 ).
cnf(c_0_3248,plain,
m1_group_2(k9_group_2(esk491_0,esk492_0,esk493_0),esk491_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3241,c_0_3242]),c_0_3228])]) ).
cnf(c_0_3249,negated_conjecture,
( v1_group_1(k9_group_2(esk491_0,X1,esk492_0))
| ~ m1_group_2(X1,esk491_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_3243,c_0_3228]),c_0_3229]),c_0_3230]),c_0_3231])]),c_0_3232]) ).
cnf(c_0_3250,negated_conjecture,
( k9_group_2(esk491_0,X1,esk493_0) = k9_group_2(esk491_0,esk493_0,X1)
| ~ m1_group_2(X1,esk491_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_3244,c_0_3236]),c_0_3229]),c_0_3230]),c_0_3231])]),c_0_3232]) ).
cnf(c_0_3251,negated_conjecture,
k1_setfam_1(k1_enumset1(k1_funct_1(k1_latsubgr(esk491_0),esk492_0),k1_funct_1(k1_latsubgr(esk491_0),esk492_0),k1_funct_1(k1_latsubgr(esk491_0),esk493_0))) != k1_funct_1(k1_latsubgr(esk491_0),k9_group_2(esk491_0,esk492_0,esk493_0)),
i_0_3199 ).
cnf(c_0_3252,negated_conjecture,
k1_funct_1(k1_latsubgr(esk491_0),esk493_0) = u1_struct_0(esk493_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_3245,c_0_3236]),c_0_3229]),c_0_3230]),c_0_3246]),c_0_3231])]),c_0_3232]) ).
cnf(c_0_3253,negated_conjecture,
k1_funct_1(k1_latsubgr(esk491_0),esk492_0) = u1_struct_0(esk492_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_3245,c_0_3228]),c_0_3229]),c_0_3230]),c_0_3247]),c_0_3231])]),c_0_3232]) ).
cnf(c_0_3254,plain,
( k1_funct_1(k1_latsubgr(esk491_0),k9_group_2(esk491_0,esk492_0,esk493_0)) = u1_struct_0(k9_group_2(esk491_0,esk492_0,esk493_0))
| ~ v1_group_1(k9_group_2(esk491_0,esk492_0,esk493_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_3245,c_0_3248]),c_0_3229]),c_0_3230]),c_0_3231])]),c_0_3232]) ).
cnf(c_0_3255,negated_conjecture,
v1_group_1(k9_group_2(esk491_0,esk492_0,esk493_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3249,c_0_3250]),c_0_3236]),c_0_3228])]) ).
cnf(c_0_3256,plain,
( k1_setfam_1(k1_enumset1(k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X2),k1_funct_1(k1_latsubgr(X1),X3))) = u1_struct_0(k9_group_2(X1,X2,X3))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X3)
| ~ v1_group_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_3149 ).
cnf(c_0_3257,negated_conjecture,
k1_setfam_1(k1_enumset1(u1_struct_0(esk492_0),u1_struct_0(esk492_0),u1_struct_0(esk493_0))) != k1_funct_1(k1_latsubgr(esk491_0),k9_group_2(esk491_0,esk492_0,esk493_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3251,c_0_3252]),c_0_3253]),c_0_3253]) ).
cnf(c_0_3258,plain,
k1_funct_1(k1_latsubgr(esk491_0),k9_group_2(esk491_0,esk492_0,esk493_0)) = u1_struct_0(k9_group_2(esk491_0,esk492_0,esk493_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3254,c_0_3255])]) ).
cnf(c_0_3259,negated_conjecture,
( k1_setfam_1(k1_enumset1(k1_funct_1(k1_latsubgr(esk491_0),X1),k1_funct_1(k1_latsubgr(esk491_0),X1),u1_struct_0(esk493_0))) = u1_struct_0(k9_group_2(esk491_0,X1,esk493_0))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,esk491_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_3256,c_0_3236]),c_0_3252]),c_0_3229]),c_0_3230]),c_0_3246]),c_0_3231])]),c_0_3232]) ).
cnf(c_0_3260,negated_conjecture,
k1_setfam_1(k1_enumset1(u1_struct_0(esk492_0),u1_struct_0(esk492_0),u1_struct_0(esk493_0))) != u1_struct_0(k9_group_2(esk491_0,esk492_0,esk493_0)),
inference(rw,[status(thm)],[c_0_3257,c_0_3258]) ).
cnf(c_0_3261,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3259,c_0_3253]),c_0_3247]),c_0_3228])]),c_0_3260]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP645+3 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 14:05:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.74/0.94 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.74/0.94 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.74/0.94 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.74/0.94 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 193.79/27.99 # ENIGMATIC: Solved by autoschedule-lgb:
% 193.79/27.99 # No SInE strategy applied
% 193.79/27.99 # Trying AutoSched0 for 149 seconds
% 193.79/27.99 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 193.79/27.99 # and selection function SelectComplexExceptUniqMaxHorn.
% 193.79/27.99 #
% 193.79/27.99 # Preprocessing time : 0.022 s
% 193.79/27.99 # Presaturation interreduction done
% 193.79/27.99
% 193.79/27.99 # Proof found!
% 193.79/27.99 # SZS status Theorem
% 193.79/27.99 # SZS output start CNFRefutation
% See solution above
% 193.79/27.99 # Training examples: 0 positive, 0 negative
% 193.79/27.99
% 193.79/27.99 # -------------------------------------------------
% 193.79/27.99 # User time : 22.081 s
% 193.79/27.99 # System time : 0.640 s
% 193.79/27.99 # Total time : 22.721 s
% 193.79/27.99 # Maximum resident set size: 7120 pages
% 193.79/27.99
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