%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP620+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:01 AM UTC 2026
% Result : Theorem 12.99s 3.13s
% Output : Refutation 13.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 21
% Syntax : Number of formulae : 219 ( 28 unt; 9 def)
% Number of atoms : 1145 ( 21 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1615 ( 689 ~; 741 |; 132 &)
% ( 25 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 9 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 168 ( 0 sgn 161 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f331,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f1870,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f1874,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f2481,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f2766,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f3715,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_group_6(X2,X1,X0)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ( v4_group_6(X2,X1,X0)
& X3 = k2_funct_1(X2) )
=> v4_group_6(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_group_6) ).
fof(f3801,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f3810,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X2,X1)
<=> ( v2_funct_1(X2)
& v3_group_6(X2,X0,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f3814,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X1,X0,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f3816,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ( v1_funct_1(k2_funct_1(X1))
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
fof(f3817,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
fof(f3818,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f3817]) ).
fof(f3819,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) ) ) ) ) ) ),
inference(rectify,[],[f3810]) ).
fof(f3923,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f3818]) ).
fof(f3924,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f3923]) ).
fof(f3925,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(k2_funct_1(X1))
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3816]) ).
fof(f3926,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(k2_funct_1(X1))
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3925]) ).
fof(f3927,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3715]) ).
fof(f3928,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3927]) ).
fof(f3989,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3819]) ).
fof(f3990,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f3989]) ).
fof(f4025,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f1874]) ).
fof(f4026,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f4025]) ).
fof(f4134,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3814]) ).
fof(f4135,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4134]) ).
fof(f4138,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3801]) ).
fof(f4139,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f4138]) ).
fof(f4437,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f331]) ).
fof(f4438,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f4437]) ).
fof(f4439,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f330]) ).
fof(f5212,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f1870]) ).
fof(f7208,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2766]) ).
fof(f7215,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2481]) ).
fof(f7216,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f7215]) ).
fof(f7875,definition,
! [X0,X1] :
( sP2(X0,X1)
<=> ! [X3] :
( ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f7876,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(definition_folding,[],[f3990,f7875]) ).
fof(f8007,plain,
( ~ m2_fraenkel(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86),k1_autgroup(sK86))
& m2_fraenkel(sK87,u1_struct_0(sK86),u1_struct_0(sK86),k1_autgroup(sK86))
& ~ v3_struct_0(sK86)
& v1_group_1(sK86)
& v3_group_1(sK86)
& v4_group_1(sK86)
& l1_group_1(sK86) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86,sK87]),skolemize(X0,sK86),skolemize(X1,sK87)],[f3924]) ).
fof(f8025,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) )
& ( ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f7876]) ).
fof(f8026,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) )
& ( ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f8025]) ).
fof(f8027,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) )
& ( ( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f8026]) ).
fof(f8028,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ( ( ~ v1_funct_1(sK95(X0,X1))
| ~ v1_funct_2(sK95(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK95(X0,X1),X0,X0)
| ~ m2_relset_1(sK95(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK95(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP2(X0,X1) )
& ( ( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP2(X0,X1) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95]),skolemize(X2,sK95(X0,X1))],[f8027]) ).
fof(f8060,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(nnf_transformation,[],[f4026]) ).
fof(f8117,plain,
! [X0] :
( ! [X1] :
( ( ( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0) )
& ( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f4135]) ).
fof(f9361,plain,
l1_group_1(sK86),
inference(cnf_transformation,[],[f8007]) ).
fof(f9362,plain,
v4_group_1(sK86),
inference(cnf_transformation,[],[f8007]) ).
fof(f9363,plain,
v3_group_1(sK86),
inference(cnf_transformation,[],[f8007]) ).
fof(f9364,plain,
v1_group_1(sK86),
inference(cnf_transformation,[],[f8007]) ).
fof(f9365,plain,
~ v3_struct_0(sK86),
inference(cnf_transformation,[],[f8007]) ).
fof(f9366,plain,
m2_fraenkel(sK87,u1_struct_0(sK86),u1_struct_0(sK86),k1_autgroup(sK86)),
inference(cnf_transformation,[],[f8007]) ).
fof(f9367,plain,
~ m2_fraenkel(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86),k1_autgroup(sK86)),
inference(cnf_transformation,[],[f8007]) ).
fof(f9368,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3926]) ).
fof(f9369,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_group_6(k2_funct_1(X1),X0,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3926]) ).
fof(f9370,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3926]) ).
fof(f9371,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_1(k2_funct_1(X1))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3926]) ).
fof(f9372,plain,
! [X2,X3,X0,X1] :
( v4_group_6(X3,X0,X1)
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f3928]) ).
fof(f9452,plain,
! [X3,X0,X1] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f8028]) ).
fof(f9453,plain,
! [X3,X0,X1] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f8028]) ).
fof(f9454,plain,
! [X3,X0,X1] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f8028]) ).
fof(f9455,plain,
! [X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f8028]) ).
fof(f9535,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f8060]) ).
fof(f9536,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f8060]) ).
fof(f9714,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ r2_hidden(X1,k1_autgroup(X0))
| ~ v1_funct_1(X1)
| v4_group_6(X1,X0,X0)
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f8117]) ).
fof(f9715,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_6(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(X1,k1_autgroup(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f8117]) ).
fof(f9717,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f4139]) ).
fof(f10077,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f4438]) ).
fof(f10078,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f4439]) ).
fof(f11171,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f5212]) ).
fof(f13778,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7208]) ).
fof(f13785,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7216]) ).
fof(f15692,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_6(X2,X1,X0)
| ~ v1_funct_1(k2_funct_1(X2))
| v4_group_6(k2_funct_1(X2),X0,X1)
| ~ v1_group_6(k2_funct_1(X2),X0,X1)
| ~ m2_relset_1(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9372]) ).
fof(f15712,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_1(X3)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9455]) ).
fof(f15713,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9454]) ).
fof(f15714,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_group_6(X3,X0,X0)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9453]) ).
fof(f15715,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f9452]) ).
fof(f18628,plain,
l1_struct_0(sK86),
inference(resolution,[],[f9361,f13778]) ).
fof(f18629,plain,
( m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f9366,f9368]) ).
fof(f18630,plain,
( v1_group_6(k2_funct_1(sK87),sK86,sK86)
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f9366,f9369]) ).
fof(f18631,plain,
( v1_funct_2(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f9366,f9370]) ).
fof(f18632,plain,
( v1_funct_1(k2_funct_1(sK87))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f9366,f9371]) ).
fof(f18633,plain,
( v1_funct_1(sK87)
| ~ m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f9366,f15712]) ).
fof(f18634,plain,
( v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f9366,f15713]) ).
fof(f18635,plain,
( v1_group_6(sK87,sK86,sK86)
| ~ m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f9366,f15714]) ).
fof(f18636,plain,
( m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f9366,f15715]) ).
fof(f18642,plain,
( m1_subset_1(sK87,k1_autgroup(sK86))
| v1_xboole_0(u1_struct_0(sK86))
| ~ m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86)) ),
inference(resolution,[],[f9366,f9535]) ).
fof(f18645,plain,
( m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18636,f9717]) ).
fof(f18646,plain,
( v1_group_6(sK87,sK86,sK86)
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18635,f9717]) ).
fof(f18647,plain,
( v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18634,f9717]) ).
fof(f18648,plain,
( v1_funct_1(sK87)
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18633,f9717]) ).
fof(f18649,plain,
( v1_funct_1(k2_funct_1(sK87))
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18632,f9365]) ).
fof(f18650,plain,
( v1_funct_2(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18631,f9365]) ).
fof(f18651,plain,
( v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18630,f9365]) ).
fof(f18652,plain,
( m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18629,f9365]) ).
fof(f18655,plain,
( m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18645,f9365]) ).
fof(f18656,plain,
( v1_group_6(sK87,sK86,sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18646,f9365]) ).
fof(f18657,plain,
( v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18647,f9365]) ).
fof(f18658,plain,
( v1_funct_1(sK87)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18648,f9365]) ).
fof(f18659,plain,
( v1_funct_1(k2_funct_1(sK87))
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18649,f9364]) ).
fof(f18660,plain,
( v1_funct_2(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18650,f9364]) ).
fof(f18661,plain,
( v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18651,f9364]) ).
fof(f18662,plain,
( m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18652,f9364]) ).
fof(f18665,plain,
( m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18655,f9364]) ).
fof(f18666,plain,
( v1_group_6(sK87,sK86,sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18656,f9364]) ).
fof(f18667,plain,
( v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18657,f9364]) ).
fof(f18668,plain,
( v1_funct_1(sK87)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18658,f9364]) ).
fof(f18669,plain,
( v1_funct_1(k2_funct_1(sK87))
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18659,f9363]) ).
fof(f18670,plain,
( v1_funct_2(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18660,f9363]) ).
fof(f18671,plain,
( v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18661,f9363]) ).
fof(f18672,plain,
( m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18662,f9363]) ).
fof(f18675,plain,
( m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18665,f9363]) ).
fof(f18676,plain,
( v1_group_6(sK87,sK86,sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18666,f9363]) ).
fof(f18677,plain,
( v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18667,f9363]) ).
fof(f18678,plain,
( v1_funct_1(sK87)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18668,f9363]) ).
fof(f18679,plain,
( v1_funct_1(k2_funct_1(sK87))
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18669,f9362]) ).
fof(f18680,plain,
( v1_funct_2(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18670,f9362]) ).
fof(f18681,plain,
( v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18671,f9362]) ).
fof(f18682,plain,
( m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18672,f9362]) ).
fof(f18685,plain,
( m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18675,f9362]) ).
fof(f18686,plain,
( v1_group_6(sK87,sK86,sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18676,f9362]) ).
fof(f18687,plain,
( v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18677,f9362]) ).
fof(f18688,plain,
( v1_funct_1(sK87)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18678,f9362]) ).
fof(f18689,plain,
v1_funct_1(k2_funct_1(sK87)),
inference(forward_subsumption_resolution,[],[f18679,f9361]) ).
fof(f18690,plain,
v1_funct_2(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86)),
inference(forward_subsumption_resolution,[],[f18680,f9361]) ).
fof(f18691,plain,
v1_group_6(k2_funct_1(sK87),sK86,sK86),
inference(forward_subsumption_resolution,[],[f18681,f9361]) ).
fof(f18692,plain,
m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86)),
inference(forward_subsumption_resolution,[],[f18682,f9361]) ).
fof(f18693,plain,
m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86)),
inference(forward_subsumption_resolution,[],[f18685,f9361]) ).
fof(f18694,plain,
v1_group_6(sK87,sK86,sK86),
inference(forward_subsumption_resolution,[],[f18686,f9361]) ).
fof(f18695,plain,
v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86)),
inference(forward_subsumption_resolution,[],[f18687,f9361]) ).
fof(f18696,plain,
v1_funct_1(sK87),
inference(forward_subsumption_resolution,[],[f18688,f9361]) ).
fof(f18697,plain,
( ~ m1_subset_1(k2_funct_1(sK87),k1_autgroup(sK86))
| v1_xboole_0(u1_struct_0(sK86))
| ~ m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86)) ),
inference(resolution,[],[f9367,f9536]) ).
fof(f18762,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| ~ v1_funct_1(sK87)
| v4_group_6(sK87,sK86,sK86)
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f18695,f9714]) ).
fof(f18822,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| v4_group_6(sK87,sK86,sK86)
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18762,f18696]) ).
fof(f18859,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| v4_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18822,f18694]) ).
fof(f18886,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| v4_group_6(sK87,sK86,sK86)
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18859,f18693]) ).
fof(f18910,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| v4_group_6(sK87,sK86,sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18886,f9365]) ).
fof(f18934,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| v4_group_6(sK87,sK86,sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18910,f9364]) ).
fof(f18958,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| v4_group_6(sK87,sK86,sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18934,f9363]) ).
fof(f18982,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| v4_group_6(sK87,sK86,sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f18958,f9362]) ).
fof(f19006,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| v4_group_6(sK87,sK86,sK86) ),
inference(forward_subsumption_resolution,[],[f18982,f9361]) ).
fof(f19013,definition,
( spl824_1
<=> v1_xboole_0(u1_struct_0(sK86)) ),
introduced(definition,[new_symbols(definition,[spl824_1])],[avatar_definition]) ).
fof(f19015,plain,
( v1_xboole_0(u1_struct_0(sK86))
| ~ spl824_1 ),
inference(avatar_component_clause,[],[f19013]) ).
fof(f19021,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| ~ v1_funct_1(k2_funct_1(sK87))
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_funct_1(sK87)
| ~ v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86)
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f18690,f15692]) ).
fof(f19049,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v1_funct_1(k2_funct_1(sK87))
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| ~ v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(resolution,[],[f18690,f9715]) ).
fof(f19094,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| ~ v1_funct_1(k2_funct_1(sK87))
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_funct_1(sK87)
| ~ v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(duplicate_literal_removal,[],[f19021]) ).
fof(f19108,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| ~ v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19049,f18689]) ).
fof(f19136,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v1_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_funct_1(sK87)
| ~ v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19094,f18689]) ).
fof(f19146,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| ~ m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19108,f18691]) ).
fof(f19174,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ m2_relset_1(k2_funct_1(sK87),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_funct_1(sK87)
| ~ v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19136,f18691]) ).
fof(f19178,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19146,f18692]) ).
fof(f19206,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v1_funct_1(sK87)
| ~ v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19174,f18692]) ).
fof(f19207,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19178,f9365]) ).
fof(f19235,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v1_funct_2(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19206,f18696]) ).
fof(f19236,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19207,f9364]) ).
fof(f19264,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v1_group_6(sK87,sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19235,f18695]) ).
fof(f19265,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19236,f9363]) ).
fof(f19293,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ m2_relset_1(sK87,u1_struct_0(sK86),u1_struct_0(sK86))
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19264,f18694]) ).
fof(f19294,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19265,f9362]) ).
fof(f19315,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| v3_struct_0(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19293,f18693]) ).
fof(f19316,plain,
( ~ v4_group_6(k2_funct_1(sK87),sK86,sK86)
| r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86)) ),
inference(forward_subsumption_resolution,[],[f19294,f9361]) ).
fof(f19325,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19315,f9365]) ).
fof(f19326,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19325,f9363]) ).
fof(f19327,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86)
| ~ l1_group_1(sK86) ),
inference(forward_subsumption_resolution,[],[f19326,f9362]) ).
fof(f19328,plain,
( ~ v4_group_6(sK87,sK86,sK86)
| v4_group_6(k2_funct_1(sK87),sK86,sK86) ),
inference(forward_subsumption_resolution,[],[f19327,f9361]) ).
fof(f19343,definition,
( spl824_5
<=> v4_group_6(sK87,sK86,sK86) ),
introduced(definition,[new_symbols(definition,[spl824_5])],[avatar_definition]) ).
fof(f19390,definition,
( spl824_8
<=> m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86)) ),
introduced(definition,[new_symbols(definition,[spl824_8])],[avatar_definition]) ).
fof(f19391,plain,
( m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86))
| ~ spl824_8 ),
inference(avatar_component_clause,[],[f19390]) ).
fof(f19392,plain,
( ~ m1_fraenkel(k1_autgroup(sK86),u1_struct_0(sK86),u1_struct_0(sK86))
| spl824_8 ),
inference(avatar_component_clause,[],[f19390]) ).
fof(f19430,plain,
( v3_struct_0(sK86)
| ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86)
| spl824_8 ),
inference(resolution,[],[f19392,f9717]) ).
fof(f19431,plain,
( ~ v1_group_1(sK86)
| ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86)
| spl824_8 ),
inference(forward_subsumption_resolution,[],[f19430,f9365]) ).
fof(f19432,plain,
( ~ v3_group_1(sK86)
| ~ v4_group_1(sK86)
| ~ l1_group_1(sK86)
| spl824_8 ),
inference(forward_subsumption_resolution,[],[f19431,f9364]) ).
fof(f19433,plain,
( ~ v4_group_1(sK86)
| ~ l1_group_1(sK86)
| spl824_8 ),
inference(forward_subsumption_resolution,[],[f19432,f9363]) ).
fof(f19434,plain,
( ~ l1_group_1(sK86)
| spl824_8 ),
inference(forward_subsumption_resolution,[],[f19433,f9362]) ).
fof(f19435,plain,
( $false
| spl824_8 ),
inference(forward_subsumption_resolution,[],[f19434,f9361]) ).
fof(f19436,plain,
spl824_8,
inference(avatar_contradiction_clause,[],[f19435]) ).
fof(f19451,plain,
( ~ v1_xboole_0(k1_autgroup(sK86))
| ~ spl824_8 ),
inference(resolution,[],[f19391,f11171]) ).
fof(f19471,definition,
( spl824_19
<=> m1_subset_1(sK87,k1_autgroup(sK86)) ),
introduced(definition,[new_symbols(definition,[spl824_19])],[avatar_definition]) ).
fof(f19473,plain,
( m1_subset_1(sK87,k1_autgroup(sK86))
| ~ spl824_19 ),
inference(avatar_component_clause,[],[f19471]) ).
fof(f19474,plain,
( ~ spl824_8
| spl824_1
| spl824_19 ),
inference(avatar_split_clause,[],[f18642,f19471,f19013,f19390]) ).
fof(f19482,plain,
( r2_hidden(sK87,k1_autgroup(sK86))
| v1_xboole_0(k1_autgroup(sK86))
| ~ spl824_19 ),
inference(resolution,[],[f19473,f10077]) ).
fof(f19483,plain,
( r2_hidden(sK87,k1_autgroup(sK86))
| ~ spl824_8
| ~ spl824_19 ),
inference(forward_subsumption_resolution,[],[f19482,f19451]) ).
fof(f19496,definition,
( spl824_20
<=> m1_subset_1(k2_funct_1(sK87),k1_autgroup(sK86)) ),
introduced(definition,[new_symbols(definition,[spl824_20])],[avatar_definition]) ).
fof(f19498,plain,
( ~ m1_subset_1(k2_funct_1(sK87),k1_autgroup(sK86))
| spl824_20 ),
inference(avatar_component_clause,[],[f19496]) ).
fof(f19499,plain,
( ~ spl824_8
| spl824_1
| ~ spl824_20 ),
inference(avatar_split_clause,[],[f18697,f19496,f19013,f19390]) ).
fof(f19503,plain,
( ~ r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| spl824_20 ),
inference(resolution,[],[f19498,f10078]) ).
fof(f19544,plain,
( v3_struct_0(sK86)
| ~ l1_struct_0(sK86)
| ~ spl824_1 ),
inference(resolution,[],[f19015,f13785]) ).
fof(f19547,plain,
( ~ l1_struct_0(sK86)
| ~ spl824_1 ),
inference(forward_subsumption_resolution,[],[f19544,f9365]) ).
fof(f19550,plain,
( $false
| ~ spl824_1 ),
inference(forward_subsumption_resolution,[],[f19547,f18628]) ).
fof(f19551,plain,
~ spl824_1,
inference(avatar_contradiction_clause,[],[f19550]) ).
fof(f19785,definition,
( spl824_56
<=> r2_hidden(sK87,k1_autgroup(sK86)) ),
introduced(definition,[new_symbols(definition,[spl824_56])],[avatar_definition]) ).
fof(f19786,plain,
( ~ r2_hidden(sK87,k1_autgroup(sK86))
| spl824_56 ),
inference(avatar_component_clause,[],[f19785]) ).
fof(f19789,plain,
( spl824_5
| ~ spl824_56 ),
inference(avatar_split_clause,[],[f19006,f19785,f19343]) ).
fof(f19790,plain,
( $false
| ~ spl824_8
| ~ spl824_19
| spl824_56 ),
inference(forward_subsumption_resolution,[],[f19786,f19483]) ).
fof(f19791,plain,
( ~ spl824_8
| ~ spl824_19
| spl824_56 ),
inference(avatar_contradiction_clause,[],[f19790]) ).
fof(f19808,definition,
( spl824_59
<=> v4_group_6(k2_funct_1(sK87),sK86,sK86) ),
introduced(definition,[new_symbols(definition,[spl824_59])],[avatar_definition]) ).
fof(f20761,plain,
( spl824_59
| ~ spl824_5 ),
inference(avatar_split_clause,[],[f19328,f19343,f19808]) ).
fof(f21433,definition,
( spl824_115
<=> r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86)) ),
introduced(definition,[new_symbols(definition,[spl824_115])],[avatar_definition]) ).
fof(f21435,plain,
( r2_hidden(k2_funct_1(sK87),k1_autgroup(sK86))
| ~ spl824_115 ),
inference(avatar_component_clause,[],[f21433]) ).
fof(f21436,plain,
( spl824_115
| ~ spl824_59 ),
inference(avatar_split_clause,[],[f19316,f19808,f21433]) ).
fof(f21437,plain,
( $false
| spl824_20
| ~ spl824_115 ),
inference(forward_subsumption_resolution,[],[f21435,f19503]) ).
fof(f21438,plain,
( spl824_20
| ~ spl824_115 ),
inference(avatar_contradiction_clause,[],[f21437]) ).
cnf(s12,plain,
spl824_8,
inference(sat_conversion,[],[f19436]) ).
cnf(s15,plain,
( spl824_1
| ~ spl824_8
| spl824_19 ),
inference(sat_conversion,[],[f19474]) ).
cnf(s17,plain,
( spl824_1
| ~ spl824_8
| ~ spl824_20 ),
inference(sat_conversion,[],[f19499]) ).
cnf(s24,plain,
~ spl824_1,
inference(sat_conversion,[],[f19551]) ).
cnf(s51,plain,
( spl824_5
| ~ spl824_56 ),
inference(sat_conversion,[],[f19789]) ).
cnf(s52,plain,
( ~ spl824_8
| ~ spl824_19
| spl824_56 ),
inference(sat_conversion,[],[f19791]) ).
cnf(s75,plain,
( ~ spl824_5
| spl824_59 ),
inference(sat_conversion,[],[f20761]) ).
cnf(s107,plain,
( ~ spl824_59
| spl824_115 ),
inference(sat_conversion,[],[f21436]) ).
cnf(s108,plain,
( spl824_20
| ~ spl824_115 ),
inference(sat_conversion,[],[f21438]) ).
cnf(s111,plain,
( ~ spl824_8
| ~ spl824_20 ),
inference(rat,[],[s17,s24]) ).
cnf(s112,plain,
( ~ spl824_8
| spl824_19 ),
inference(rat,[],[s15,s24]) ).
cnf(s115,plain,
~ spl824_20,
inference(rat,[],[s111,s12]) ).
cnf(s116,plain,
spl824_19,
inference(rat,[],[s112,s12]) ).
cnf(s117,plain,
~ spl824_115,
inference(rat,[],[s108,s115]) ).
cnf(s118,plain,
spl824_56,
inference(rat,[],[s52,s12,s116]) ).
cnf(s120,plain,
~ spl824_59,
inference(rat,[],[s107,s117]) ).
cnf(s121,plain,
spl824_5,
inference(rat,[],[s51,s118]) ).
cnf(s122,plain,
$false,
inference(rat,[],[s75,s120,s121]) ).
fof(f21439,plain,
$false,
inference(avatar_sat_refutation,[],[s122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP620+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 % Computer : n015.cluster.edu
% 0.24/0.49 % Model : x86_64 x86_64
% 0.24/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.49 % Memory : 8046.5625MB
% 0.24/0.49 % OS : Linux 6.8.0-71-generic
% 0.24/0.49 % CPULimit : 300
% 0.24/0.49 % WCLimit : 300
% 0.24/0.49 % DateTime : Sun Sep 27 10:12:37 UTC 2026
% 0.24/0.49 % CPUTime :
% 0.24/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.99/3.13 % (1434667)Detected formulas, will run a generic FOF schedule.
% 12.99/3.13 % (1434672)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3570694060:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.99/3.13 % (1434675)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3056482958:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.99/3.13 % (1434675)Refutation not found, incomplete strategy
% 12.99/3.13 % (1434675)------------------------------
% 12.99/3.13 % (1434675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434675)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434675)Termination reason: Refutation not found, incomplete strategy
% 12.99/3.13 % (1434675)Time elapsed: 0.020 s
% 12.99/3.13 % (1434675)Peak memory usage: 93 MB
% 12.99/3.13 % (1434675)Instructions burned: 23 (million)
% 12.99/3.13 % (1434674)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3497674864:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.99/3.13 % (1434673)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3414434128:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.99/3.13 % (1434677)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2798083301:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.99/3.13 % (1434678)dis-21_1_sil=8000:lcm=predicate:random_seed=2008859140:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.99/3.13 % (1434676)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1658658945:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.99/3.13 % (1434676)Instruction limit reached!
% 12.99/3.13 % (1434676)------------------------------
% 12.99/3.13 % (1434676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434676)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434676)Termination reason: Instruction limit
% 12.99/3.13 % (1434676)Termination phase: Saturation
% 12.99/3.13 % (1434676)Time elapsed: 0.124 s
% 12.99/3.13 % (1434676)Peak memory usage: 94 MB
% 12.99/3.13 % (1434676)Instructions burned: 119 (million)
% 12.99/3.13 % (1434678)Instruction limit reached!
% 12.99/3.13 % (1434678)------------------------------
% 12.99/3.13 % (1434678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434678)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434678)Termination reason: Instruction limit
% 12.99/3.13 % (1434678)Termination phase: Clausification
% 12.99/3.13 % (1434678)Time elapsed: 0.141 s
% 12.99/3.13 % (1434678)Peak memory usage: 94 MB
% 12.99/3.13 % (1434678)Instructions burned: 129 (million)
% 12.99/3.13 % (1434677)Instruction limit reached!
% 12.99/3.13 % (1434677)------------------------------
% 12.99/3.13 % (1434677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434677)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434677)Termination reason: Instruction limit
% 12.99/3.13 % (1434677)Termination phase: Preprocessing 3
% 12.99/3.13 % (1434677)Time elapsed: 0.146 s
% 12.99/3.13 % (1434677)Peak memory usage: 94 MB
% 12.99/3.13 % (1434677)Instructions burned: 139 (million)
% 12.99/3.13 % (1434686)lrs+10_1_sil=8000:sp=occurrence:random_seed=2478028882:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 12.99/3.13 % (1434675)------------------------------
% 12.99/3.13 % (1434675)------------------------------
% 12.99/3.13 % (1434688)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2785655893:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 12.99/3.13 % (1434686)Instruction limit reached!
% 12.99/3.13 % (1434686)------------------------------
% 12.99/3.13 % (1434686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434686)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434686)Termination reason: Instruction limit
% 12.99/3.13 % (1434686)Termination phase: Saturation
% 12.99/3.13 % (1434686)Time elapsed: 0.107 s
% 12.99/3.13 % (1434686)Peak memory usage: 97 MB
% 12.99/3.13 % (1434686)Instructions burned: 287 (million)
% 12.99/3.13 % (1434687)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2576141708:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 12.99/3.13 % (1434692)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2187665988:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 12.99/3.13 % (1434691)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2039501741:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.99/3.13 % (1434687)Refutation not found, incomplete strategy
% 12.99/3.13 % (1434687)------------------------------
% 12.99/3.13 % (1434687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434687)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434687)Termination reason: Refutation not found, incomplete strategy
% 12.99/3.13 % (1434687)Time elapsed: 0.069 s
% 12.99/3.13 % (1434687)Peak memory usage: 93 MB
% 12.99/3.13 % (1434687)Instructions burned: 79 (million)
% 12.99/3.13 % (1434688)Instruction limit reached!
% 12.99/3.13 % (1434688)------------------------------
% 12.99/3.13 % (1434688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434688)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434688)Termination reason: Instruction limit
% 12.99/3.13 % (1434688)Termination phase: Saturation
% 12.99/3.13 % (1434688)Time elapsed: 0.166 s
% 12.99/3.13 % (1434688)Peak memory usage: 94 MB
% 12.99/3.13 % (1434688)Instructions burned: 327 (million)
% 12.99/3.13 % (1434692)Instruction limit reached!
% 12.99/3.13 % (1434692)------------------------------
% 12.99/3.13 % (1434692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434692)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434692)Termination reason: Instruction limit
% 12.99/3.13 % (1434692)Termination phase: Saturation
% 12.99/3.13 % (1434692)Time elapsed: 0.093 s
% 12.99/3.13 % (1434692)Peak memory usage: 97 MB
% 12.99/3.13 % (1434692)Instructions burned: 295 (million)
% 12.99/3.13 % (1434691)Instruction limit reached!
% 12.99/3.13 % (1434691)------------------------------
% 12.99/3.13 % (1434691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434691)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434691)Termination reason: Instruction limit
% 12.99/3.13 % (1434691)Termination phase: Property scanning
% 12.99/3.13 % (1434691)Time elapsed: 0.142 s
% 12.99/3.13 % (1434691)Peak memory usage: 97 MB
% 12.99/3.13 % (1434691)Instructions burned: 250 (million)
% 12.99/3.13 % (1434696)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2667038838:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 12.99/3.13 % (1434697)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3486101772:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 12.99/3.13 % (1434697)Instruction limit reached!
% 12.99/3.13 % (1434697)------------------------------
% 12.99/3.13 % (1434697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434697)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434697)Termination reason: Instruction limit
% 12.99/3.13 % (1434697)Termination phase: Saturation
% 12.99/3.13 % (1434697)Time elapsed: 0.039 s
% 12.99/3.13 % (1434697)Peak memory usage: 94 MB
% 12.99/3.13 % (1434697)Instructions burned: 114 (million)
% 12.99/3.13 % (1434687)------------------------------
% 12.99/3.13 % (1434687)------------------------------
% 12.99/3.13 % (1434698)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2037653351:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 12.99/3.13 % (1434701)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2650176877:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 12.99/3.13 % (1434701)Instruction limit reached!
% 12.99/3.13 % (1434701)------------------------------
% 12.99/3.13 % (1434701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434701)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434701)Termination reason: Instruction limit
% 12.99/3.13 % (1434701)Termination phase: Preprocessing 2
% 12.99/3.13 % (1434701)Time elapsed: 0.033 s
% 12.99/3.13 % (1434701)Peak memory usage: 90 MB
% 12.99/3.13 % (1434701)Instructions burned: 115 (million)
% 12.99/3.13 % (1434698)Instruction limit reached!
% 12.99/3.13 % (1434698)------------------------------
% 12.99/3.13 % (1434698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434698)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434698)Termination reason: Instruction limit
% 12.99/3.13 % (1434698)Termination phase: Clausification
% 12.99/3.13 % (1434698)Time elapsed: 0.085 s
% 12.99/3.13 % (1434698)Peak memory usage: 96 MB
% 12.99/3.13 % (1434698)Instructions burned: 128 (million)
% 12.99/3.13 % (1434702)lrs+10_1_sil=8000:sp=occurrence:random_seed=3646474224:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 12.99/3.13 % (1434705)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2113718092:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 12.99/3.13 % (1434706)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3971265599:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 12.99/3.13 % (1434705)Instruction limit reached!
% 12.99/3.13 % (1434705)------------------------------
% 12.99/3.13 % (1434705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434705)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434705)Termination reason: Instruction limit
% 12.99/3.13 % (1434705)Termination phase: Saturation
% 12.99/3.13 % (1434705)Time elapsed: 0.146 s
% 12.99/3.13 % (1434705)Peak memory usage: 96 MB
% 12.99/3.13 % (1434705)Instructions burned: 439 (million)
% 12.99/3.13 % (1434710)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2936612114:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 12.99/3.13 % (1434710)Instruction limit reached!
% 12.99/3.13 % (1434710)------------------------------
% 12.99/3.13 % (1434710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434710)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434710)Termination reason: Instruction limit
% 12.99/3.13 % (1434710)Termination phase: Saturation
% 12.99/3.13 % (1434710)Time elapsed: 0.045 s
% 12.99/3.13 % (1434710)Peak memory usage: 96 MB
% 12.99/3.13 % (1434710)Instructions burned: 134 (million)
% 12.99/3.13 % (1434712)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3931748669:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 12.99/3.13 % (1434702)Instruction limit reached!
% 12.99/3.13 % (1434702)------------------------------
% 12.99/3.13 % (1434702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.99/3.13 % (1434702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.99/3.13 % (1434702)CaDiCaL version: 2.1.3
% 12.99/3.13 % (1434702)Termination reason: Instruction limit
% 12.99/3.13 % (1434702)Termination phase: Saturation
% 12.99/3.13 % (1434702)Time elapsed: 0.585 s
% 12.99/3.13 % (1434702)Peak memory usage: 108 MB
% 12.99/3.13 % (1434702)Instructions burned: 907 (million)
% 12.99/3.13 % (1434712)First to succeed.
% 12.99/3.13 % (1434712)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1434667"
% 12.99/3.13 % (1434714)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=897732671:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 12.99/3.13 % (1434712)Refutation found. Thanks to Tanya!
% 12.99/3.13 % SZS status Theorem for theBenchmark
% 12.99/3.13 % SZS output start Proof for theBenchmark
% See solution above
% 13.87/3.32 % (1434712)------------------------------
% 13.87/3.32 % (1434712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.87/3.32 % (1434712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.87/3.32 % (1434712)CaDiCaL version: 2.1.3
% 13.87/3.32 % (1434712)Termination reason: Refutation
% 13.87/3.32 % (1434712)Time elapsed: 0.175 s
% 13.87/3.32 % (1434712)Peak memory usage: 107 MB
% 13.87/3.32 % (1434712)Instructions burned: 596 (million)
% 13.87/3.32 % (1434712)------------------------------
% 13.87/3.32 % (1434712)------------------------------
% 13.87/3.32 % (1434667)Success in time 1.984 s
% 13.87/3.32 % Vampire exiting
%------------------------------------------------------------------------------