%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP620+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 08:39:31 EDT 2022
% Result : Theorem 14.01s 5.45s
% Output : CNFRefutation 14.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of clauses : 76 ( 32 unt; 32 nHn; 76 RR)
% Number of literals : 298 ( 4 equ; 196 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 105 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_916,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_916) ).
cnf(i_0_767,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_767) ).
cnf(i_0_671,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-dno98e_q/lgb.p',i_0_671) ).
cnf(i_0_3796,negated_conjecture,
v4_group_1(esk503_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3796) ).
cnf(i_0_3797,negated_conjecture,
v3_group_1(esk503_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3797) ).
cnf(i_0_3798,negated_conjecture,
v1_group_1(esk503_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3798) ).
cnf(i_0_3795,negated_conjecture,
l1_group_1(esk503_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3795) ).
cnf(i_0_3799,negated_conjecture,
~ v3_struct_0(esk503_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3799) ).
cnf(i_0_1315,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_1315) ).
cnf(i_0_3794,negated_conjecture,
m2_fraenkel(esk504_0,u1_struct_0(esk503_0),u1_struct_0(esk503_0),k1_autgroup(esk503_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3794) ).
cnf(i_0_770,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_770) ).
cnf(i_0_244,plain,
( v3_struct_0(X1)
| v1_group_6(X2,X1,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-dno98e_q/lgb.p',i_0_244) ).
cnf(i_0_779,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_779) ).
cnf(i_0_777,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_777) ).
cnf(i_0_369,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_369) ).
cnf(i_0_778,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_778) ).
cnf(i_0_3607,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(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),k1_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3607) ).
cnf(i_0_3608,plain,
( v3_struct_0(X1)
| v1_group_6(k2_funct_1(X2),X1,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),k1_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3608) ).
cnf(i_0_3610,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_funct_1(X2))
| ~ 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),k1_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3610) ).
cnf(i_0_3609,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(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),k1_autgroup(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3609) ).
cnf(i_0_3704,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_group_6(X3,X2,X1)
| X3 != k2_funct_1(X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_group_6(X4,X1,X2)
| ~ v4_group_6(X4,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3704) ).
cnf(i_0_3316,plain,
( v3_struct_0(X1)
| v4_group_6(X2,X1,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_6(X2,X1,X1)
| ~ r2_hidden(X2,k1_autgroup(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3316) ).
cnf(i_0_3315,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_6(X2,X1,X1)
| ~ v4_group_6(X2,X1,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3315) ).
cnf(i_0_1314,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_1314) ).
cnf(i_0_3793,negated_conjecture,
~ m2_fraenkel(k2_funct_1(esk504_0),u1_struct_0(esk503_0),u1_struct_0(esk503_0),k1_autgroup(esk503_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_3793) ).
cnf(i_0_2162,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dno98e_q/lgb.p',i_0_2162) ).
cnf(c_0_3826,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_916 ).
cnf(c_0_3827,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
i_0_767 ).
cnf(c_0_3828,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_671 ).
cnf(c_0_3829,negated_conjecture,
v4_group_1(esk503_0),
i_0_3796 ).
cnf(c_0_3830,negated_conjecture,
v3_group_1(esk503_0),
i_0_3797 ).
cnf(c_0_3831,negated_conjecture,
v1_group_1(esk503_0),
i_0_3798 ).
cnf(c_0_3832,negated_conjecture,
l1_group_1(esk503_0),
i_0_3795 ).
cnf(c_0_3833,negated_conjecture,
~ v3_struct_0(esk503_0),
i_0_3799 ).
cnf(c_0_3834,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(spm,[status(thm)],[c_0_3826,c_0_3827]) ).
cnf(c_0_3835,plain,
( v1_xboole_0(X1)
| m1_subset_1(X2,X3)
| ~ m1_fraenkel(X3,X4,X1)
| ~ m2_fraenkel(X2,X4,X1,X3) ),
i_0_1315 ).
cnf(c_0_3836,negated_conjecture,
m2_fraenkel(esk504_0,u1_struct_0(esk503_0),u1_struct_0(esk503_0),k1_autgroup(esk503_0)),
i_0_3794 ).
cnf(c_0_3837,negated_conjecture,
m1_fraenkel(k1_autgroup(esk503_0),u1_struct_0(esk503_0),u1_struct_0(esk503_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_3828,c_0_3829]),c_0_3830]),c_0_3831]),c_0_3832])]),c_0_3833]) ).
cnf(c_0_3838,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk503_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3834,c_0_3832]),c_0_3833]) ).
cnf(c_0_3839,plain,
( ~ v1_xboole_0(X1)
| ~ m1_fraenkel(X1,X2,X3) ),
i_0_770 ).
cnf(c_0_3840,plain,
( v3_struct_0(X1)
| v1_group_6(X2,X1,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_244 ).
cnf(c_0_3841,plain,
( v1_funct_1(X1)
| v1_xboole_0(X2)
| ~ m1_fraenkel(X3,X4,X2)
| ~ m2_fraenkel(X1,X4,X2,X3) ),
i_0_779 ).
cnf(c_0_3842,plain,
( v1_xboole_0(X1)
| m2_relset_1(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_777 ).
cnf(c_0_3843,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_369 ).
cnf(c_0_3844,negated_conjecture,
m1_subset_1(esk504_0,k1_autgroup(esk503_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3835,c_0_3836]),c_0_3837])]),c_0_3838]) ).
cnf(c_0_3845,plain,
~ v1_xboole_0(k1_autgroup(esk503_0)),
inference(spm,[status(thm)],[c_0_3839,c_0_3837]) ).
cnf(c_0_3846,plain,
( v1_group_6(X1,X2,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_3840]),c_0_3828]) ).
cnf(c_0_3847,negated_conjecture,
( v1_funct_1(esk504_0)
| ~ m1_fraenkel(k1_autgroup(esk503_0),u1_struct_0(esk503_0),u1_struct_0(esk503_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3841,c_0_3836]),c_0_3838]) ).
cnf(c_0_3848,plain,
( v1_xboole_0(X1)
| v1_funct_2(X2,X3,X1)
| ~ m1_fraenkel(X4,X3,X1)
| ~ m2_fraenkel(X2,X3,X1,X4) ),
i_0_778 ).
cnf(c_0_3849,plain,
( v3_struct_0(X1)
| m2_relset_1(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(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),k1_autgroup(X1)) ),
i_0_3607 ).
cnf(c_0_3850,plain,
( v3_struct_0(X1)
| v1_group_6(k2_funct_1(X2),X1,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),k1_autgroup(X1)) ),
i_0_3608 ).
cnf(c_0_3851,plain,
( v3_struct_0(X1)
| v1_funct_1(k2_funct_1(X2))
| ~ 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),k1_autgroup(X1)) ),
i_0_3610 ).
cnf(c_0_3852,plain,
( v3_struct_0(X1)
| v1_funct_2(k2_funct_1(X2),u1_struct_0(X1),u1_struct_0(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),k1_autgroup(X1)) ),
i_0_3609 ).
cnf(c_0_3853,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v4_group_6(X3,X2,X1)
| X3 != k2_funct_1(X4)
| ~ l1_group_1(X1)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X4)
| ~ v3_group_1(X1)
| ~ v3_group_1(X2)
| ~ v4_group_1(X1)
| ~ v4_group_1(X2)
| ~ v1_group_6(X3,X2,X1)
| ~ v1_group_6(X4,X1,X2)
| ~ v4_group_6(X4,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
i_0_3704 ).
cnf(c_0_3854,plain,
( v3_struct_0(X1)
| v4_group_6(X2,X1,X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_6(X2,X1,X1)
| ~ r2_hidden(X2,k1_autgroup(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_3316 ).
cnf(c_0_3855,negated_conjecture,
m2_relset_1(esk504_0,u1_struct_0(esk503_0),u1_struct_0(esk503_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3842,c_0_3836]),c_0_3837])]),c_0_3838]) ).
cnf(c_0_3856,plain,
r2_hidden(esk504_0,k1_autgroup(esk503_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3843,c_0_3844]),c_0_3845]) ).
cnf(c_0_3857,negated_conjecture,
v1_group_6(esk504_0,esk503_0,esk503_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_3846,c_0_3836]),c_0_3829]),c_0_3830]),c_0_3831]),c_0_3832])]),c_0_3833]) ).
cnf(c_0_3858,negated_conjecture,
v1_funct_1(esk504_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3847,c_0_3837])]) ).
cnf(c_0_3859,negated_conjecture,
v1_funct_2(esk504_0,u1_struct_0(esk503_0),u1_struct_0(esk503_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3848,c_0_3836]),c_0_3837])]),c_0_3838]) ).
cnf(c_0_3860,plain,
( v3_struct_0(X1)
| r2_hidden(X2,k1_autgroup(X1))
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ v1_group_6(X2,X1,X1)
| ~ v4_group_6(X2,X1,X1)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
i_0_3315 ).
cnf(c_0_3861,negated_conjecture,
m2_relset_1(k2_funct_1(esk504_0),u1_struct_0(esk503_0),u1_struct_0(esk503_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_3849,c_0_3836]),c_0_3829]),c_0_3830]),c_0_3831]),c_0_3832])]),c_0_3833]) ).
cnf(c_0_3862,negated_conjecture,
v1_group_6(k2_funct_1(esk504_0),esk503_0,esk503_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_3850,c_0_3836]),c_0_3829]),c_0_3830]),c_0_3831]),c_0_3832])]),c_0_3833]) ).
cnf(c_0_3863,negated_conjecture,
v1_funct_1(k2_funct_1(esk504_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_3851,c_0_3836]),c_0_3829]),c_0_3830]),c_0_3831]),c_0_3832])]),c_0_3833]) ).
cnf(c_0_3864,negated_conjecture,
v1_funct_2(k2_funct_1(esk504_0),u1_struct_0(esk503_0),u1_struct_0(esk503_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_3852,c_0_3836]),c_0_3829]),c_0_3830]),c_0_3831]),c_0_3832])]),c_0_3833]) ).
cnf(c_0_3865,plain,
( v4_group_6(k2_funct_1(X1),X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v4_group_6(X1,X3,X2)
| ~ v1_group_6(k2_funct_1(X1),X2,X3)
| ~ v1_group_6(X1,X3,X2)
| ~ v1_funct_1(k2_funct_1(X1))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v4_group_1(X2)
| ~ v4_group_1(X3)
| ~ v3_group_1(X2)
| ~ v3_group_1(X3)
| ~ l1_group_1(X2)
| ~ l1_group_1(X3)
| ~ v1_funct_2(k2_funct_1(X1),u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2)) ),
inference(er,[status(thm)],[c_0_3853]) ).
cnf(c_0_3866,negated_conjecture,
v4_group_6(esk504_0,esk503_0,esk503_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3854,c_0_3855]),c_0_3856]),c_0_3857]),c_0_3858]),c_0_3829]),c_0_3830]),c_0_3831]),c_0_3832]),c_0_3859])]),c_0_3833]) ).
cnf(c_0_3867,plain,
( v1_xboole_0(X1)
| m2_fraenkel(X2,X3,X1,X4)
| ~ m1_subset_1(X2,X4)
| ~ m1_fraenkel(X4,X3,X1) ),
i_0_1314 ).
cnf(c_0_3868,negated_conjecture,
( r2_hidden(k2_funct_1(esk504_0),k1_autgroup(esk503_0))
| ~ v4_group_6(k2_funct_1(esk504_0),esk503_0,esk503_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3860,c_0_3861]),c_0_3862]),c_0_3863]),c_0_3829]),c_0_3830]),c_0_3831]),c_0_3832]),c_0_3864])]),c_0_3833]) ).
cnf(c_0_3869,negated_conjecture,
v4_group_6(k2_funct_1(esk504_0),esk503_0,esk503_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(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_3865,c_0_3861]),c_0_3866]),c_0_3862]),c_0_3857]),c_0_3863]),c_0_3858]),c_0_3855]),c_0_3829]),c_0_3830]),c_0_3832]),c_0_3864]),c_0_3859])]),c_0_3833]) ).
cnf(c_0_3870,negated_conjecture,
~ m2_fraenkel(k2_funct_1(esk504_0),u1_struct_0(esk503_0),u1_struct_0(esk503_0),k1_autgroup(esk503_0)),
i_0_3793 ).
cnf(c_0_3871,negated_conjecture,
( m2_fraenkel(X1,u1_struct_0(esk503_0),u1_struct_0(esk503_0),k1_autgroup(esk503_0))
| ~ m1_subset_1(X1,k1_autgroup(esk503_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3867,c_0_3837]),c_0_3838]) ).
cnf(c_0_3872,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_2162 ).
cnf(c_0_3873,negated_conjecture,
r2_hidden(k2_funct_1(esk504_0),k1_autgroup(esk503_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3868,c_0_3869])]) ).
cnf(c_0_3874,negated_conjecture,
~ m1_subset_1(k2_funct_1(esk504_0),k1_autgroup(esk503_0)),
inference(spm,[status(thm)],[c_0_3870,c_0_3871]) ).
cnf(c_0_3875,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3872,c_0_3873]),c_0_3874]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP620+2 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Tue Jun 14 11:55:05 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.40 # ENIGMATIC: Selected SinE mode:
% 0.15/0.58 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.58 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.15/0.58 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.15/0.58 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 14.01/5.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 14.01/5.45 # No SInE strategy applied
% 14.01/5.45 # Trying AutoSched0 for 149 seconds
% 14.01/5.45 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.01/5.45 # and selection function SelectComplexExceptUniqMaxHorn.
% 14.01/5.45 #
% 14.01/5.45 # Preprocessing time : 0.032 s
% 14.01/5.45 # Presaturation interreduction done
% 14.01/5.45
% 14.01/5.45 # Proof found!
% 14.01/5.45 # SZS status Theorem
% 14.01/5.45 # SZS output start CNFRefutation
% See solution above
% 14.01/5.45 # Training examples: 0 positive, 0 negative
% 14.01/5.45
% 14.01/5.45 # -------------------------------------------------
% 14.01/5.45 # User time : 0.152 s
% 14.01/5.45 # System time : 0.016 s
% 14.01/5.45 # Total time : 0.168 s
% 14.01/5.45 # Maximum resident set size: 7124 pages
% 14.01/5.45
%------------------------------------------------------------------------------