TSTP Solution File: GRP645+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP645+4 : 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 118.69s 19.63s
% Output : CNFRefutation 118.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of clauses : 52 ( 25 unt; 21 nHn; 52 RR)
% Number of literals : 185 ( 17 equ; 117 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_1756,plain,
( v3_struct_0(X1)
| m1_group_6(X2,X1,X3)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_1756) ).
cnf(i_0_3549,negated_conjecture,
m1_group_2(esk533_0,esk532_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3549) ).
cnf(i_0_3552,negated_conjecture,
v4_group_1(esk532_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3552) ).
cnf(i_0_3553,negated_conjecture,
v3_group_1(esk532_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3553) ).
cnf(i_0_3551,negated_conjecture,
l1_group_1(esk532_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3551) ).
cnf(i_0_3554,negated_conjecture,
~ v3_struct_0(esk532_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3554) ).
cnf(i_0_930,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_6(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_930) ).
cnf(i_0_1824,plain,
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_1824) ).
cnf(i_0_3547,negated_conjecture,
m1_group_2(esk534_0,esk532_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3547) ).
cnf(i_0_907,plain,
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_907) ).
cnf(i_0_137,plain,
( k9_group_2(X1,X2,X3) = k9_group_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_137) ).
cnf(i_0_328,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)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ v4_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/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_328) ).
cnf(i_0_837,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_837) ).
cnf(i_0_836,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)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_836) ).
cnf(i_0_835,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)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_835) ).
cnf(i_0_3548,negated_conjecture,
v1_group_1(esk534_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3548) ).
cnf(i_0_3550,negated_conjecture,
v1_group_1(esk533_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3550) ).
cnf(i_0_3478,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)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3478) ).
cnf(i_0_3546,negated_conjecture,
k1_setfam_1(k1_enumset1(k1_funct_1(k1_latsubgr(esk532_0),esk533_0),k1_funct_1(k1_latsubgr(esk532_0),esk533_0),k1_funct_1(k1_latsubgr(esk532_0),esk534_0))) != k1_funct_1(k1_latsubgr(esk532_0),k9_group_2(esk532_0,esk533_0,esk534_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ee63z0d7/lgb.p',i_0_3546) ).
cnf(c_0_3574,plain,
( v3_struct_0(X1)
| m1_group_6(X2,X1,X3)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X3) ),
i_0_1756 ).
cnf(c_0_3575,negated_conjecture,
m1_group_2(esk533_0,esk532_0),
i_0_3549 ).
cnf(c_0_3576,negated_conjecture,
v4_group_1(esk532_0),
i_0_3552 ).
cnf(c_0_3577,negated_conjecture,
v3_group_1(esk532_0),
i_0_3553 ).
cnf(c_0_3578,negated_conjecture,
l1_group_1(esk532_0),
i_0_3551 ).
cnf(c_0_3579,negated_conjecture,
~ v3_struct_0(esk532_0),
i_0_3554 ).
cnf(c_0_3580,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_6(X2,X1,X3) ),
i_0_930 ).
cnf(c_0_3581,negated_conjecture,
( m1_group_6(X1,esk532_0,esk533_0)
| ~ m1_group_2(X1,esk533_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_3574,c_0_3575]),c_0_3576]),c_0_3577]),c_0_3578])]),c_0_3579]) ).
cnf(c_0_3582,plain,
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X2,X3),X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_1824 ).
cnf(c_0_3583,negated_conjecture,
m1_group_2(esk534_0,esk532_0),
i_0_3547 ).
cnf(c_0_3584,plain,
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X2,X3))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_907 ).
cnf(c_0_3585,plain,
( k9_group_2(X1,X2,X3) = k9_group_2(X1,X3,X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_137 ).
cnf(c_0_3586,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)
| ~ v1_funct_1(X1)
| ~ v3_group_1(X3)
| ~ v4_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_328 ).
cnf(c_0_3587,plain,
( v3_struct_0(X1)
| v1_funct_1(k1_latsubgr(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_837 ).
cnf(c_0_3588,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)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_836 ).
cnf(c_0_3589,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)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_835 ).
cnf(c_0_3590,plain,
( m1_group_2(X1,esk532_0)
| ~ m1_group_2(X1,esk533_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_3580,c_0_3581]),c_0_3576]),c_0_3577]),c_0_3578]),c_0_3575])]),c_0_3579]) ).
cnf(c_0_3591,negated_conjecture,
( m1_group_2(k9_group_2(esk532_0,X1,esk534_0),X1)
| ~ m1_group_2(X1,esk532_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_3582,c_0_3583]),c_0_3576]),c_0_3577]),c_0_3578])]),c_0_3579]) ).
cnf(c_0_3592,negated_conjecture,
( v1_group_1(k9_group_2(esk532_0,X1,esk533_0))
| ~ m1_group_2(X1,esk532_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_3584,c_0_3575]),c_0_3576]),c_0_3577]),c_0_3578])]),c_0_3579]) ).
cnf(c_0_3593,negated_conjecture,
( k9_group_2(esk532_0,X1,esk534_0) = k9_group_2(esk532_0,esk534_0,X1)
| ~ m1_group_2(X1,esk532_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_3585,c_0_3583]),c_0_3576]),c_0_3577]),c_0_3578])]),c_0_3579]) ).
cnf(c_0_3594,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_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_3586]),c_0_3587]),c_0_3588]),c_0_3589]) ).
cnf(c_0_3595,negated_conjecture,
v1_group_1(esk534_0),
i_0_3548 ).
cnf(c_0_3596,negated_conjecture,
v1_group_1(esk533_0),
i_0_3550 ).
cnf(c_0_3597,plain,
m1_group_2(k9_group_2(esk532_0,esk533_0,esk534_0),esk532_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3590,c_0_3591]),c_0_3575])]) ).
cnf(c_0_3598,negated_conjecture,
v1_group_1(k9_group_2(esk532_0,esk533_0,esk534_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3592,c_0_3593]),c_0_3583]),c_0_3575])]) ).
cnf(c_0_3599,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)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_group_2(X2,X1) ),
i_0_3478 ).
cnf(c_0_3600,negated_conjecture,
k1_funct_1(k1_latsubgr(esk532_0),esk534_0) = u1_struct_0(esk534_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_3594,c_0_3583]),c_0_3576]),c_0_3577]),c_0_3595]),c_0_3578])]),c_0_3579]) ).
cnf(c_0_3601,negated_conjecture,
k1_setfam_1(k1_enumset1(k1_funct_1(k1_latsubgr(esk532_0),esk533_0),k1_funct_1(k1_latsubgr(esk532_0),esk533_0),k1_funct_1(k1_latsubgr(esk532_0),esk534_0))) != k1_funct_1(k1_latsubgr(esk532_0),k9_group_2(esk532_0,esk533_0,esk534_0)),
i_0_3546 ).
cnf(c_0_3602,negated_conjecture,
k1_funct_1(k1_latsubgr(esk532_0),esk533_0) = u1_struct_0(esk533_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_3594,c_0_3575]),c_0_3576]),c_0_3577]),c_0_3596]),c_0_3578])]),c_0_3579]) ).
cnf(c_0_3603,plain,
k1_funct_1(k1_latsubgr(esk532_0),k9_group_2(esk532_0,esk533_0,esk534_0)) = u1_struct_0(k9_group_2(esk532_0,esk533_0,esk534_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_3594,c_0_3597]),c_0_3576]),c_0_3577]),c_0_3598]),c_0_3578])]),c_0_3579]) ).
cnf(c_0_3604,negated_conjecture,
( k1_setfam_1(k1_enumset1(k1_funct_1(k1_latsubgr(esk532_0),X1),k1_funct_1(k1_latsubgr(esk532_0),X1),u1_struct_0(esk534_0))) = u1_struct_0(k9_group_2(esk532_0,X1,esk534_0))
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,esk532_0) ),
inference(rw,[status(thm)],[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_3599,c_0_3583]),c_0_3576]),c_0_3577]),c_0_3595]),c_0_3578])]),c_0_3579]),c_0_3600]) ).
cnf(c_0_3605,negated_conjecture,
k1_setfam_1(k1_enumset1(u1_struct_0(esk533_0),u1_struct_0(esk533_0),u1_struct_0(esk534_0))) != u1_struct_0(k9_group_2(esk532_0,esk533_0,esk534_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3601,c_0_3600]),c_0_3602]),c_0_3602]),c_0_3603]) ).
cnf(c_0_3606,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_3604,c_0_3602]),c_0_3596]),c_0_3575])]),c_0_3605]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP645+4 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n022.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 19:04:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 1.44/1.66 # Parsing /export/starexec/sandbox/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
% 118.69/19.63 # ENIGMATIC: Solved by autoschedule-lgb:
% 118.69/19.63 # No SInE strategy applied
% 118.69/19.63 # Trying AutoSched0 for 148 seconds
% 118.69/19.63 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 118.69/19.63 # and selection function SelectComplexExceptUniqMaxHorn.
% 118.69/19.63 #
% 118.69/19.63 # Preprocessing time : 0.028 s
% 118.69/19.63 # Presaturation interreduction done
% 118.69/19.63
% 118.69/19.63 # Proof found!
% 118.69/19.63 # SZS status Theorem
% 118.69/19.63 # SZS output start CNFRefutation
% See solution above
% 118.69/19.64 # Training examples: 0 positive, 0 negative
% 118.69/19.64
% 118.69/19.64 # -------------------------------------------------
% 118.69/19.64 # User time : 12.771 s
% 118.69/19.64 # System time : 0.512 s
% 118.69/19.64 # Total time : 13.283 s
% 118.69/19.64 # Maximum resident set size: 7128 pages
% 118.69/19.64
%------------------------------------------------------------------------------