%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP643+4 : 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 08:39:50 EDT 2022
% Result : Theorem 70.00s 13.87s
% Output : CNFRefutation 70.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 30
% Syntax : Number of clauses : 88 ( 42 unt; 30 nHn; 88 RR)
% Number of literals : 271 ( 16 equ; 162 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 92 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_2703,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,X3)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_2703) ).
cnf(i_0_3060,negated_conjecture,
r2_hidden(esk531_0,k1_funct_1(k1_latsubgr(esk528_0),esk529_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3060) ).
cnf(i_0_3067,negated_conjecture,
v4_group_1(esk528_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3067) ).
cnf(i_0_3068,negated_conjecture,
v3_group_1(esk528_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3068) ).
cnf(i_0_3065,negated_conjecture,
v1_group_1(esk529_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3065) ).
cnf(i_0_3066,negated_conjecture,
l1_group_1(esk528_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3066) ).
cnf(i_0_3064,negated_conjecture,
m1_group_2(esk529_0,esk528_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3064) ).
cnf(i_0_3062,negated_conjecture,
m1_subset_1(esk531_0,u1_struct_0(esk528_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3062) ).
cnf(i_0_3069,negated_conjecture,
~ v3_struct_0(esk528_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3069) ).
cnf(i_0_16,plain,
( v3_struct_0(X1)
| v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_16) ).
cnf(i_0_884,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_884) ).
cnf(i_0_883,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_883) ).
cnf(i_0_885,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_885) ).
cnf(i_0_328,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_328) ).
cnf(i_0_3061,negated_conjecture,
r2_hidden(esk530_0,k1_funct_1(k1_latsubgr(esk528_0),esk529_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3061) ).
cnf(i_0_3063,negated_conjecture,
m1_subset_1(esk530_0,u1_struct_0(esk528_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3063) ).
cnf(i_0_5290,plain,
( v3_struct_0(X1)
| m1_group_2(X1,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_5290) ).
cnf(i_0_868,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_868) ).
cnf(i_0_4944,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_1(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_4944) ).
cnf(i_0_2935,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_2935) ).
cnf(i_0_4860,plain,
( k1_group_1(X1,X2,X3) = k1_group_1(X4,X5,X6)
| v3_struct_0(X1)
| X3 != X6
| X2 != X5
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X4,X1)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_4860) ).
cnf(i_0_4843,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_4843) ).
cnf(i_0_794,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| ~ l1_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-_f9582ce/lgb.p',i_0_794) ).
cnf(i_0_306,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/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_306) ).
cnf(i_0_797,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/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_797) ).
cnf(i_0_796,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/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_796) ).
cnf(i_0_795,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/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_795) ).
cnf(i_0_5775,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_5775) ).
cnf(i_0_468,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_468) ).
cnf(i_0_3059,negated_conjecture,
~ r2_hidden(k1_group_1(esk528_0,esk530_0,esk531_0),k1_funct_1(k1_latsubgr(esk528_0),esk529_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_f9582ce/lgb.p',i_0_3059) ).
cnf(c_0_5806,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,X3)
| ~ l1_group_1(X1)
| ~ v1_group_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2)) ),
i_0_2703 ).
cnf(c_0_5807,negated_conjecture,
r2_hidden(esk531_0,k1_funct_1(k1_latsubgr(esk528_0),esk529_0)),
i_0_3060 ).
cnf(c_0_5808,negated_conjecture,
v4_group_1(esk528_0),
i_0_3067 ).
cnf(c_0_5809,negated_conjecture,
v3_group_1(esk528_0),
i_0_3068 ).
cnf(c_0_5810,negated_conjecture,
v1_group_1(esk529_0),
i_0_3065 ).
cnf(c_0_5811,negated_conjecture,
l1_group_1(esk528_0),
i_0_3066 ).
cnf(c_0_5812,negated_conjecture,
m1_group_2(esk529_0,esk528_0),
i_0_3064 ).
cnf(c_0_5813,negated_conjecture,
m1_subset_1(esk531_0,u1_struct_0(esk528_0)),
i_0_3062 ).
cnf(c_0_5814,negated_conjecture,
~ v3_struct_0(esk528_0),
i_0_3069 ).
cnf(c_0_5815,plain,
( v3_struct_0(X1)
| v4_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_16 ).
cnf(c_0_5816,plain,
( v3_struct_0(X1)
| v3_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_884 ).
cnf(c_0_5817,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X1,X2) ),
i_0_883 ).
cnf(c_0_5818,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_struct_0(X2)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_885 ).
cnf(c_0_5819,plain,
( r2_hidden(X1,u1_struct_0(X2))
| ~ l1_struct_0(X2)
| ~ r1_rlvect_1(X2,X1) ),
i_0_328 ).
cnf(c_0_5820,negated_conjecture,
r1_rlvect_1(esk529_0,esk531_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5806,c_0_5807]),c_0_5808]),c_0_5809]),c_0_5810]),c_0_5811]),c_0_5812]),c_0_5813])]),c_0_5814]) ).
cnf(c_0_5821,negated_conjecture,
r2_hidden(esk530_0,k1_funct_1(k1_latsubgr(esk528_0),esk529_0)),
i_0_3061 ).
cnf(c_0_5822,negated_conjecture,
m1_subset_1(esk530_0,u1_struct_0(esk528_0)),
i_0_3063 ).
cnf(c_0_5823,plain,
( v3_struct_0(X1)
| m1_group_2(X1,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
i_0_5290 ).
cnf(c_0_5824,negated_conjecture,
v4_group_1(esk529_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_5815,c_0_5812]),c_0_5808]),c_0_5809]),c_0_5811])]),c_0_5814]) ).
cnf(c_0_5825,negated_conjecture,
v3_group_1(esk529_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5816,c_0_5812]),c_0_5809]),c_0_5811])]),c_0_5814]) ).
cnf(c_0_5826,negated_conjecture,
l1_group_1(esk529_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5817,c_0_5812]),c_0_5809]),c_0_5811])]),c_0_5814]) ).
cnf(c_0_5827,negated_conjecture,
~ v3_struct_0(esk529_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5818,c_0_5812]),c_0_5809]),c_0_5811])]),c_0_5814]) ).
cnf(c_0_5828,plain,
( r2_hidden(esk531_0,u1_struct_0(esk529_0))
| ~ l1_struct_0(esk529_0) ),
inference(spm,[status(thm)],[c_0_5819,c_0_5820]) ).
cnf(c_0_5829,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_868 ).
cnf(c_0_5830,negated_conjecture,
r1_rlvect_1(esk529_0,esk530_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5806,c_0_5821]),c_0_5808]),c_0_5809]),c_0_5810]),c_0_5811]),c_0_5812]),c_0_5822])]),c_0_5814]) ).
cnf(c_0_5831,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_1(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ m1_group_2(X2,X1) ),
i_0_4944 ).
cnf(c_0_5832,plain,
m1_group_2(esk529_0,esk529_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5823,c_0_5824]),c_0_5825]),c_0_5826])]),c_0_5827]) ).
cnf(c_0_5833,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_2935 ).
cnf(c_0_5834,plain,
r2_hidden(esk531_0,u1_struct_0(esk529_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5828,c_0_5829]),c_0_5826])]) ).
cnf(c_0_5835,plain,
( r2_hidden(esk530_0,u1_struct_0(esk529_0))
| ~ l1_struct_0(esk529_0) ),
inference(spm,[status(thm)],[c_0_5819,c_0_5830]) ).
cnf(c_0_5836,plain,
r1_rlvect_1(esk529_0,k2_group_1(esk529_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_5831,c_0_5832]),c_0_5824]),c_0_5825]),c_0_5826])]),c_0_5827]) ).
cnf(c_0_5837,plain,
( k1_group_1(X1,X2,X3) = k1_group_1(X4,X5,X6)
| v3_struct_0(X1)
| X3 != X6
| X2 != X5
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X4,X1)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_4860 ).
cnf(c_0_5838,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
i_0_4843 ).
cnf(c_0_5839,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_group_1(X1,X2,X3),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_794 ).
cnf(c_0_5840,plain,
m1_subset_1(esk531_0,u1_struct_0(esk529_0)),
inference(spm,[status(thm)],[c_0_5833,c_0_5834]) ).
cnf(c_0_5841,plain,
r2_hidden(esk530_0,u1_struct_0(esk529_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5835,c_0_5829]),c_0_5826])]) ).
cnf(c_0_5842,plain,
( r2_hidden(k2_group_1(esk529_0),u1_struct_0(esk529_0))
| ~ l1_struct_0(esk529_0) ),
inference(spm,[status(thm)],[c_0_5819,c_0_5836]) ).
cnf(c_0_5843,plain,
( k1_group_1(X1,X2,X3) = k1_group_1(X4,X2,X3)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X4)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_5837])]),c_0_5838]),c_0_5838]) ).
cnf(c_0_5844,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_306 ).
cnf(c_0_5845,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_797 ).
cnf(c_0_5846,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_796 ).
cnf(c_0_5847,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_795 ).
cnf(c_0_5848,plain,
( m1_subset_1(k1_group_1(esk529_0,X1,esk531_0),u1_struct_0(esk529_0))
| ~ m1_subset_1(X1,u1_struct_0(esk529_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5839,c_0_5840]),c_0_5826])]),c_0_5827]) ).
cnf(c_0_5849,plain,
m1_subset_1(esk530_0,u1_struct_0(esk529_0)),
inference(spm,[status(thm)],[c_0_5833,c_0_5841]) ).
cnf(c_0_5850,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
i_0_5775 ).
cnf(c_0_5851,plain,
r2_hidden(k2_group_1(esk529_0),u1_struct_0(esk529_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5842,c_0_5829]),c_0_5826])]) ).
cnf(c_0_5852,negated_conjecture,
( k1_group_1(esk529_0,X1,X2) = k1_group_1(esk528_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk529_0))
| ~ m1_subset_1(X1,u1_struct_0(esk529_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5843,c_0_5812]),c_0_5809]),c_0_5811])]),c_0_5814]) ).
cnf(c_0_5853,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_5844]),c_0_5845]),c_0_5846]),c_0_5847]) ).
cnf(c_0_5854,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_468 ).
cnf(c_0_5855,plain,
m1_subset_1(k1_group_1(esk529_0,esk530_0,esk531_0),u1_struct_0(esk529_0)),
inference(spm,[status(thm)],[c_0_5848,c_0_5849]) ).
cnf(c_0_5856,plain,
~ v1_xboole_0(u1_struct_0(esk529_0)),
inference(spm,[status(thm)],[c_0_5850,c_0_5851]) ).
cnf(c_0_5857,plain,
( k1_group_1(esk529_0,X1,esk531_0) = k1_group_1(esk528_0,X1,esk531_0)
| ~ m1_subset_1(X1,u1_struct_0(esk529_0)) ),
inference(spm,[status(thm)],[c_0_5852,c_0_5840]) ).
cnf(c_0_5858,negated_conjecture,
~ r2_hidden(k1_group_1(esk528_0,esk530_0,esk531_0),k1_funct_1(k1_latsubgr(esk528_0),esk529_0)),
i_0_3059 ).
cnf(c_0_5859,negated_conjecture,
k1_funct_1(k1_latsubgr(esk528_0),esk529_0) = u1_struct_0(esk529_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_5853,c_0_5812]),c_0_5808]),c_0_5809]),c_0_5810]),c_0_5811])]),c_0_5814]) ).
cnf(c_0_5860,plain,
r2_hidden(k1_group_1(esk529_0,esk530_0,esk531_0),u1_struct_0(esk529_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5854,c_0_5855]),c_0_5856]) ).
cnf(c_0_5861,plain,
k1_group_1(esk529_0,esk530_0,esk531_0) = k1_group_1(esk528_0,esk530_0,esk531_0),
inference(spm,[status(thm)],[c_0_5857,c_0_5849]) ).
cnf(c_0_5862,negated_conjecture,
~ r2_hidden(k1_group_1(esk528_0,esk530_0,esk531_0),u1_struct_0(esk529_0)),
inference(rw,[status(thm)],[c_0_5858,c_0_5859]) ).
cnf(c_0_5863,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_5860,c_0_5861]),c_0_5862]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP643+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.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 09:33:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 1.37/1.63 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.63 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 1.37/1.63 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 1.37/1.63 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 70.00/13.87 # ENIGMATIC: Solved by autoschedule-lgb:
% 70.00/13.87 # No SInE strategy applied
% 70.00/13.87 # Trying AutoSched0 for 148 seconds
% 70.00/13.87 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 70.00/13.87 # and selection function SelectCQIPrecWNTNp.
% 70.00/13.87 #
% 70.00/13.87 # Preprocessing time : 0.029 s
% 70.00/13.87 # Presaturation interreduction done
% 70.00/13.87
% 70.00/13.87 # Proof found!
% 70.00/13.87 # SZS status Theorem
% 70.00/13.87 # SZS output start CNFRefutation
% See solution above
% 70.00/13.87 # Training examples: 0 positive, 0 negative
% 70.00/13.87
% 70.00/13.87 # -------------------------------------------------
% 70.00/13.87 # User time : 6.756 s
% 70.00/13.87 # System time : 0.336 s
% 70.00/13.87 # Total time : 7.092 s
% 70.00/13.87 # Maximum resident set size: 7120 pages
% 70.00/13.87
%------------------------------------------------------------------------------