TSTP Solution File: GRP632+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP632+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 08:39:41 EDT 2022
% Result : Theorem 35.64s 7.85s
% Output : CNFRefutation 35.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of clauses : 86 ( 31 unt; 27 nHn; 81 RR)
% Number of literals : 276 ( 31 equ; 169 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-5 aty)
% Number of variables : 102 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2019,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_2019) ).
cnf(i_0_3261,negated_conjecture,
m2_fraenkel(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0),k4_autgroup(esk487_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3261) ).
cnf(i_0_3263,negated_conjecture,
v4_group_1(esk487_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3263) ).
cnf(i_0_3264,negated_conjecture,
v3_group_1(esk487_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3264) ).
cnf(i_0_3265,negated_conjecture,
v1_group_1(esk487_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3265) ).
cnf(i_0_3262,negated_conjecture,
l1_group_1(esk487_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3262) ).
cnf(i_0_3266,negated_conjecture,
~ v3_struct_0(esk487_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3266) ).
cnf(i_0_257,plain,
( v3_struct_0(X1)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_257) ).
cnf(i_0_770,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_770) ).
cnf(i_0_1323,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_1323) ).
cnf(i_0_1324,plain,
( k2_relat_1(X1) = k1_relat_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_1324) ).
cnf(i_0_260,plain,
( v3_struct_0(X1)
| v1_funct_1(X2)
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_260) ).
cnf(i_0_1633,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_1633) ).
cnf(i_0_3740,plain,
( v1_funct_2(X1,k1_relat_1(X1),k2_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3740) ).
cnf(i_0_308,plain,
( r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_308) ).
cnf(i_0_307,plain,
( m1_relset_1(X1,X2,X3)
| ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_307) ).
cnf(i_0_3103,plain,
r1_tarski(k2_group_1(k20_monoid_0(X1)),k2_zfmisc_1(X1,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3103) ).
cnf(i_0_312,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_312) ).
cnf(i_0_929,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_929) ).
cnf(i_0_3760,plain,
( v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3760) ).
cnf(i_0_4848,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_4848) ).
cnf(i_0_1623,plain,
( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v1_xboole_0(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_2(X4,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_1623) ).
cnf(i_0_4022,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_group_1(k20_monoid_0(u1_struct_0(X1))),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_4022) ).
cnf(i_0_3646,plain,
( k5_relat_1(X1,k2_group_1(k20_monoid_0(X2))) = X1
| ~ m2_relset_1(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3646) ).
cnf(i_0_4106,plain,
( v3_struct_0(X1)
| m2_fraenkel(k2_group_1(k20_monoid_0(u1_struct_0(X1))),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_4106) ).
cnf(i_0_3260,negated_conjecture,
( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k6_autgroup(esk487_0,k2_group_1(esk487_0))) != esk488_0
| k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),k6_autgroup(esk487_0,k2_group_1(esk487_0)),esk488_0) != esk488_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3260) ).
cnf(i_0_2840,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k2_group_1(k20_monoid_0(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_2840) ).
cnf(i_0_3618,plain,
( k5_relat_1(k2_group_1(k20_monoid_0(X1)),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_3618) ).
cnf(i_0_311,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b5m30pi0/lgb.p',i_0_311) ).
cnf(c_0_4878,plain,
( v3_struct_0(X1)
| m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1)) ),
i_0_2019 ).
cnf(c_0_4879,negated_conjecture,
m2_fraenkel(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0),k4_autgroup(esk487_0)),
i_0_3261 ).
cnf(c_0_4880,negated_conjecture,
v4_group_1(esk487_0),
i_0_3263 ).
cnf(c_0_4881,negated_conjecture,
v3_group_1(esk487_0),
i_0_3264 ).
cnf(c_0_4882,negated_conjecture,
v1_group_1(esk487_0),
i_0_3265 ).
cnf(c_0_4883,negated_conjecture,
l1_group_1(esk487_0),
i_0_3262 ).
cnf(c_0_4884,negated_conjecture,
~ v3_struct_0(esk487_0),
i_0_3266 ).
cnf(c_0_4885,plain,
( v3_struct_0(X1)
| m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
i_0_257 ).
cnf(c_0_4886,plain,
( v3_struct_0(X1)
| m1_fraenkel(k1_autgroup(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_770 ).
cnf(c_0_4887,plain,
( k1_relat_1(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
i_0_1323 ).
cnf(c_0_4888,negated_conjecture,
m2_fraenkel(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0),k1_autgroup(esk487_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_4878,c_0_4879]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).
cnf(c_0_4889,plain,
( m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_4885]),c_0_4886]) ).
cnf(c_0_4890,plain,
( k2_relat_1(X1) = k1_relat_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ m2_fraenkel(X1,u1_struct_0(X2),u1_struct_0(X2),k1_autgroup(X2)) ),
i_0_1324 ).
cnf(c_0_4891,plain,
k1_relat_1(esk488_0) = u1_struct_0(esk487_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_4887,c_0_4888]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).
cnf(c_0_4892,plain,
( v3_struct_0(X1)
| v1_funct_1(X2)
| X3 != k1_autgroup(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_fraenkel(X3,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),X3) ),
i_0_260 ).
cnf(c_0_4893,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1633 ).
cnf(c_0_4894,negated_conjecture,
m2_relset_1(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_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_4889,c_0_4888]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).
cnf(c_0_4895,plain,
( v1_funct_2(X1,k1_relat_1(X1),k2_relat_1(X1))
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
i_0_3740 ).
cnf(c_0_4896,plain,
k2_relat_1(esk488_0) = u1_struct_0(esk487_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_4890,c_0_4888]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]),c_0_4891]) ).
cnf(c_0_4897,plain,
( v3_struct_0(X1)
| v1_funct_1(X2)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1)
| ~ m2_fraenkel(X2,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_4892]),c_0_4886]) ).
cnf(c_0_4898,plain,
( r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m1_relset_1(X1,X2,X3) ),
i_0_308 ).
cnf(c_0_4899,plain,
m1_relset_1(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0)),
inference(spm,[status(thm)],[c_0_4893,c_0_4894]) ).
cnf(c_0_4900,plain,
( m1_relset_1(X1,X2,X3)
| ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
i_0_307 ).
cnf(c_0_4901,plain,
r1_tarski(k2_group_1(k20_monoid_0(X1)),k2_zfmisc_1(X1,X1)),
i_0_3103 ).
cnf(c_0_4902,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
i_0_312 ).
cnf(c_0_4903,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_929 ).
cnf(c_0_4904,plain,
( v1_funct_2(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0))
| ~ v1_relat_1(esk488_0)
| ~ v1_funct_1(esk488_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4895,c_0_4896]),c_0_4891]) ).
cnf(c_0_4905,negated_conjecture,
v1_funct_1(esk488_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_4897,c_0_4888]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).
cnf(c_0_4906,plain,
( v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ r1_tarski(X1,X2) ),
i_0_3760 ).
cnf(c_0_4907,plain,
r1_tarski(esk488_0,k2_zfmisc_1(u1_struct_0(esk487_0),u1_struct_0(esk487_0))),
inference(spm,[status(thm)],[c_0_4898,c_0_4899]) ).
cnf(c_0_4908,plain,
v1_relat_1(k2_zfmisc_1(X1,X2)),
i_0_4848 ).
cnf(c_0_4909,plain,
( k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| v1_xboole_0(X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_2(X5,X2,X3)
| ~ v1_funct_2(X4,X1,X2) ),
i_0_1623 ).
cnf(c_0_4910,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_group_1(k20_monoid_0(u1_struct_0(X1))),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_4022 ).
cnf(c_0_4911,plain,
m1_relset_1(k2_group_1(k20_monoid_0(X1)),X1,X1),
inference(spm,[status(thm)],[c_0_4900,c_0_4901]) ).
cnf(c_0_4912,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_4902,c_0_4903]) ).
cnf(c_0_4913,plain,
( v1_funct_2(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0))
| ~ v1_relat_1(esk488_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4904,c_0_4905])]) ).
cnf(c_0_4914,plain,
v1_relat_1(esk488_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4906,c_0_4907]),c_0_4908])]) ).
cnf(c_0_4915,plain,
( k5_relat_1(X1,k2_group_1(k20_monoid_0(X2))) = X1
| ~ m2_relset_1(X1,X3,X2) ),
i_0_3646 ).
cnf(c_0_4916,plain,
( k7_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2),X3,k2_group_1(k20_monoid_0(u1_struct_0(X2)))) = k5_relat_1(X3,k2_group_1(k20_monoid_0(u1_struct_0(X2))))
| v1_xboole_0(u1_struct_0(X2))
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_2(X3,X1,u1_struct_0(X2))
| ~ m1_relset_1(X3,X1,u1_struct_0(X2))
| ~ v1_funct_1(k2_group_1(k20_monoid_0(u1_struct_0(X2))))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4909,c_0_4910]),c_0_4911])]),c_0_4912]) ).
cnf(c_0_4917,plain,
v1_funct_2(esk488_0,u1_struct_0(esk487_0),u1_struct_0(esk487_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_4913,c_0_4914])]) ).
cnf(c_0_4918,plain,
k5_relat_1(esk488_0,k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) = esk488_0,
inference(spm,[status(thm)],[c_0_4915,c_0_4894]) ).
cnf(c_0_4919,plain,
( v3_struct_0(X1)
| m2_fraenkel(k2_group_1(k20_monoid_0(u1_struct_0(X1))),u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_4106 ).
cnf(c_0_4920,negated_conjecture,
( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k6_autgroup(esk487_0,k2_group_1(esk487_0))) != esk488_0
| k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),k6_autgroup(esk487_0,k2_group_1(esk487_0)),esk488_0) != esk488_0 ),
i_0_3260 ).
cnf(c_0_4921,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k2_group_1(k20_monoid_0(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_2840 ).
cnf(c_0_4922,plain,
( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) = esk488_0
| v1_xboole_0(u1_struct_0(esk487_0))
| ~ v1_funct_1(k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4916,c_0_4917]),c_0_4918]),c_0_4880]),c_0_4881]),c_0_4883]),c_0_4899]),c_0_4905])]) ).
cnf(c_0_4923,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_group_1(k20_monoid_0(u1_struct_0(X1))))
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_4897,c_0_4919]) ).
cnf(c_0_4924,plain,
( k5_relat_1(k2_group_1(k20_monoid_0(X1)),X2) = X2
| ~ m2_relset_1(X2,X1,X3) ),
i_0_3618 ).
cnf(c_0_4925,negated_conjecture,
( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) != esk488_0
| k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),k2_group_1(k20_monoid_0(u1_struct_0(esk487_0))),esk488_0) != esk488_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_4920,c_0_4921]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).
cnf(c_0_4926,plain,
( k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),esk488_0,k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) = esk488_0
| v1_xboole_0(u1_struct_0(esk487_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_4922,c_0_4923]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).
cnf(c_0_4927,plain,
( k7_funct_2(X1,u1_struct_0(esk487_0),u1_struct_0(esk487_0),X2,esk488_0) = k5_relat_1(X2,esk488_0)
| v1_xboole_0(u1_struct_0(esk487_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk487_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk487_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4909,c_0_4917]),c_0_4899]),c_0_4905])]) ).
cnf(c_0_4928,plain,
k5_relat_1(k2_group_1(k20_monoid_0(u1_struct_0(esk487_0))),esk488_0) = esk488_0,
inference(spm,[status(thm)],[c_0_4924,c_0_4894]) ).
cnf(c_0_4929,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk487_0))
| k7_funct_2(u1_struct_0(esk487_0),u1_struct_0(esk487_0),u1_struct_0(esk487_0),k2_group_1(k20_monoid_0(u1_struct_0(esk487_0))),esk488_0) != esk488_0 ),
inference(spm,[status(thm)],[c_0_4925,c_0_4926]) ).
cnf(c_0_4930,plain,
( v1_xboole_0(u1_struct_0(esk487_0))
| ~ v1_funct_1(k2_group_1(k20_monoid_0(u1_struct_0(esk487_0)))) ),
inference(csr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4927,c_0_4910]),c_0_4928]),c_0_4911]),c_0_4880]),c_0_4881]),c_0_4883])]),c_0_4884]),c_0_4929]) ).
cnf(c_0_4931,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_311 ).
cnf(c_0_4932,plain,
v1_xboole_0(u1_struct_0(esk487_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_4930,c_0_4923]),c_0_4880]),c_0_4881]),c_0_4882]),c_0_4883])]),c_0_4884]) ).
cnf(c_0_4933,plain,
~ l1_struct_0(esk487_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4931,c_0_4932]),c_0_4884]) ).
cnf(c_0_4934,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4933,c_0_4903]),c_0_4883])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP632+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n011.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 22:02:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.69/0.88 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.69/0.88 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.69/0.88 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 35.64/7.85 # ENIGMATIC: Solved by autoschedule-lgb:
% 35.64/7.85 # No SInE strategy applied
% 35.64/7.85 # Trying AutoSched0 for 149 seconds
% 35.64/7.85 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 35.64/7.85 # and selection function SelectCQIPrecWNTNp.
% 35.64/7.85 #
% 35.64/7.85 # Preprocessing time : 0.019 s
% 35.64/7.85 # Presaturation interreduction done
% 35.64/7.85
% 35.64/7.85 # Proof found!
% 35.64/7.85 # SZS status Theorem
% 35.64/7.85 # SZS output start CNFRefutation
% See solution above
% 35.64/7.85 # Training examples: 0 positive, 0 negative
% 35.64/7.85
% 35.64/7.85 # -------------------------------------------------
% 35.64/7.85 # User time : 3.058 s
% 35.64/7.85 # System time : 0.082 s
% 35.64/7.85 # Total time : 3.140 s
% 35.64/7.85 # Maximum resident set size: 7124 pages
% 35.64/7.85
%------------------------------------------------------------------------------