%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP620+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 28.03s 9.59s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 27
% Syntax : Number of formulae : 262 ( 31 unt; 14 def)
% Number of atoms : 1446 ( 14 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 2040 ( 856 ~; 942 |; 178 &)
% ( 33 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 13 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 275 ( 0 sgn 265 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f2933,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f2935,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f2937,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/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f6422,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f11183,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/sandbox/benchmark/theBenchmark.p',t73_group_6) ).
fof(f12867,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/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f12876,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/sandbox/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f12880,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/sandbox/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f12882,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/sandbox/benchmark/theBenchmark.p',t6_autgroup) ).
fof(f12883,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/sandbox/benchmark/theBenchmark.p',t7_autgroup) ).
fof(f12884,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)],[f12883]) ).
fof(f12885,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,[],[f12876]) ).
fof(f12924,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,[],[f12867]) ).
fof(f12925,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,[],[f12924]) ).
fof(f12942,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,[],[f12885]) ).
fof(f12943,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,[],[f12942]) ).
fof(f12948,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,[],[f12880]) ).
fof(f12949,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,[],[f12948]) ).
fof(f12952,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,[],[f12882]) ).
fof(f12953,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,[],[f12952]) ).
fof(f12954,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,[],[f12884]) ).
fof(f12955,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,[],[f12954]) ).
fof(f12957,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,[],[f2937]) ).
fof(f12958,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,[],[f12957]) ).
fof(f12961,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2935]) ).
fof(f12962,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f12961]) ).
fof(f12963,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2933]) ).
fof(f13065,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f13172,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,[],[f11183]) ).
fof(f13173,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,[],[f13172]) ).
fof(f13303,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f14270,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f14279,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f14280,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f14279]) ).
fof(f16071,definition,
! [X0,X1] :
( sP0(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) )
& ! [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,[sP0])],[predicate_definition_introduction]) ).
fof(f16072,definition,
! [X1,X0] :
( ( X1 = k1_autgroup(X0)
<=> sP0(X0,X1) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f16073,plain,
! [X0] :
( ! [X1] :
( sP1(X1,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(definition_folding,[],[f12943,f16072,f16071]) ).
fof(f16105,plain,
! [X1,X0] :
( ( ( X1 = k1_autgroup(X0)
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| k1_autgroup(X0) != X1 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f16072]) ).
fof(f16106,plain,
! [X0,X1] :
( ( ( k1_autgroup(X1) = X0
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| k1_autgroup(X1) != X0 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f16105]) ).
fof(f16107,plain,
! [X0,X1] :
( ( sP0(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) )
| ? [X3] :
( ( ~ v2_funct_1(X3)
| ~ v3_group_6(X3,X0,X0)
| ~ r2_hidden(X3,X1) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| r2_hidden(X3,X1) )
& 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)) ) )
& ( ( ! [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) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| ~ r2_hidden(X3,X1) ) )
| ~ 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)) ) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f16071]) ).
fof(f16108,plain,
! [X0,X1] :
( ( sP0(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) )
| ? [X3] :
( ( ~ v2_funct_1(X3)
| ~ v3_group_6(X3,X0,X0)
| ~ r2_hidden(X3,X1) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| r2_hidden(X3,X1) )
& 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)) ) )
& ( ( ! [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) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| ~ r2_hidden(X3,X1) ) )
| ~ 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)) ) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f16107]) ).
fof(f16109,plain,
! [X0,X1] :
( ( sP0(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) )
| ? [X3] :
( ( ~ v2_funct_1(X3)
| ~ v3_group_6(X3,X0,X0)
| ~ r2_hidden(X3,X1) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| r2_hidden(X3,X1) )
& 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)) ) )
& ( ( ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X4,X0,X0)
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X5] :
( ( ( r2_hidden(X5,X1)
| ~ v2_funct_1(X5)
| ~ v3_group_6(X5,X0,X0) )
& ( ( v2_funct_1(X5)
& v3_group_6(X5,X0,X0) )
| ~ r2_hidden(X5,X1) ) )
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X5,X0,X0)
| ~ m2_relset_1(X5,u1_struct_0(X0),u1_struct_0(X0)) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f16108]) ).
fof(f16110,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ v1_funct_1(sK22(X0,X1))
| ~ v1_funct_2(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK22(X0,X1),X0,X0)
| ~ m2_relset_1(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK22(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) )
| ( ( ~ v2_funct_1(sK23(X0,X1))
| ~ v3_group_6(sK23(X0,X1),X0,X0)
| ~ r2_hidden(sK23(X0,X1),X1) )
& ( ( v2_funct_1(sK23(X0,X1))
& v3_group_6(sK23(X0,X1),X0,X0) )
| r2_hidden(sK23(X0,X1),X1) )
& v1_funct_1(sK23(X0,X1))
& v1_funct_2(sK23(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(sK23(X0,X1),X0,X0)
& m2_relset_1(sK23(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ) )
& ( ( ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X4,X0,X0)
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X5] :
( ( ( r2_hidden(X5,X1)
| ~ v2_funct_1(X5)
| ~ v3_group_6(X5,X0,X0) )
& ( ( v2_funct_1(X5)
& v3_group_6(X5,X0,X0) )
| ~ r2_hidden(X5,X1) ) )
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X5,X0,X0)
| ~ m2_relset_1(X5,u1_struct_0(X0),u1_struct_0(X0)) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X2,sK22(X0,X1)),skolemize(X3,sK23(X0,X1))],[f16109]) ).
fof(f16111,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,[],[f12949]) ).
fof(f16112,plain,
( ~ m2_fraenkel(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
& m2_fraenkel(sK25,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
& ~ v3_struct_0(sK24)
& v1_group_1(sK24)
& v3_group_1(sK24)
& v4_group_1(sK24)
& l1_group_1(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25]),skolemize(X0,sK24),skolemize(X1,sK25)],[f12955]) ).
fof(f16113,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,[],[f12958]) ).
fof(f16206,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f13303]) ).
fof(f17077,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,[],[f12925]) ).
fof(f17101,plain,
! [X0,X1] :
( sP0(X1,X0)
| k1_autgroup(X1) != X0
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f16106]) ).
fof(f17107,plain,
! [X0,X1,X4] :
( ~ sP0(X0,X1)
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1)
| v1_group_6(X4,X0,X0) ),
inference(cnf_transformation,[],[f16110]) ).
fof(f17124,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| sP1(X1,X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f16073]) ).
fof(f17127,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(cnf_transformation,[],[f16111]) ).
fof(f17128,plain,
! [X0,X1] :
( ~ v1_funct_1(X1)
| ~ v4_group_6(X1,X0,X0)
| r2_hidden(X1,k1_autgroup(X0))
| ~ 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(cnf_transformation,[],[f16111]) ).
fof(f17131,plain,
! [X0,X1] :
( ~ v4_group_1(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)
| m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12953]) ).
fof(f17132,plain,
! [X0,X1] :
( ~ v4_group_1(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)
| v1_group_6(k2_funct_1(X1),X0,X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12953]) ).
fof(f17133,plain,
! [X0,X1] :
( ~ v4_group_1(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)
| v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12953]) ).
fof(f17134,plain,
! [X0,X1] :
( ~ v4_group_1(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)
| v1_funct_1(k2_funct_1(X1))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12953]) ).
fof(f17135,plain,
l1_group_1(sK24),
inference(cnf_transformation,[],[f16112]) ).
fof(f17136,plain,
v4_group_1(sK24),
inference(cnf_transformation,[],[f16112]) ).
fof(f17137,plain,
v3_group_1(sK24),
inference(cnf_transformation,[],[f16112]) ).
fof(f17138,plain,
v1_group_1(sK24),
inference(cnf_transformation,[],[f16112]) ).
fof(f17139,plain,
~ v3_struct_0(sK24),
inference(cnf_transformation,[],[f16112]) ).
fof(f17140,plain,
m2_fraenkel(sK25,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)),
inference(cnf_transformation,[],[f16112]) ).
fof(f17141,plain,
~ m2_fraenkel(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)),
inference(cnf_transformation,[],[f16112]) ).
fof(f17143,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| m1_subset_1(X3,X2) ),
inference(cnf_transformation,[],[f16113]) ).
fof(f17144,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X2)
| m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f16113]) ).
fof(f17146,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f12962]) ).
fof(f17147,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| v1_funct_2(X3,X0,X1) ),
inference(cnf_transformation,[],[f12962]) ).
fof(f17148,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| v1_funct_1(X3) ),
inference(cnf_transformation,[],[f12962]) ).
fof(f17151,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f12963]) ).
fof(f17255,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13065]) ).
fof(f17421,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,[],[f13173]) ).
fof(f17596,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f16206]) ).
fof(f18848,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14270]) ).
fof(f18859,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14280]) ).
fof(f22313,plain,
! [X1] :
( ~ sP1(k1_autgroup(X1),X1)
| sP0(X1,k1_autgroup(X1)) ),
inference(equality_resolution,[],[f17101]) ).
fof(f22327,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(k2_funct_1(X2))
| ~ v4_group_6(X2,X1,X0)
| v4_group_6(k2_funct_1(X2),X0,X1)
| ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(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,[],[f17421]) ).
fof(f23116,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| v1_funct_2(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f17133,f17136]) ).
fof(f23117,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| v1_group_6(k2_funct_1(X0),sK24,sK24)
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f17132,f17136]) ).
fof(f23118,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| m2_relset_1(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f17131,f17136]) ).
fof(f23119,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_funct_1(X1) ),
inference(resolution,[],[f17077,f17148]) ).
fof(f23120,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17147,f17077]) ).
fof(f23121,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| m1_subset_1(X0,k1_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17143,f17077]) ).
fof(f23122,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f17134,f17136]) ).
fof(f23123,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k1_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17146,f17077]) ).
fof(f23135,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| v1_funct_2(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23116,f17139]) ).
fof(f23136,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| v1_group_6(k2_funct_1(X0),sK24,sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23117,f17139]) ).
fof(f23137,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| m2_relset_1(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23118,f17139]) ).
fof(f23138,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23122,f17139]) ).
fof(f23144,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ v3_group_1(sK24)
| v1_funct_2(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23135,f17138]) ).
fof(f23145,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ v3_group_1(sK24)
| v1_group_6(k2_funct_1(X0),sK24,sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23136,f17138]) ).
fof(f23146,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ v3_group_1(sK24)
| m2_relset_1(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23137,f17138]) ).
fof(f23147,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ v3_group_1(sK24)
| v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23138,f17138]) ).
fof(f23153,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_funct_2(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23144,f17137]) ).
fof(f23154,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_group_6(k2_funct_1(X0),sK24,sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23145,f17137]) ).
fof(f23155,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| m2_relset_1(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23146,f17137]) ).
fof(f23156,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_funct_1(k2_funct_1(X0))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23147,f17137]) ).
fof(f23161,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_funct_2(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24)) ),
inference(forward_subsumption_resolution,[],[f23153,f17135]) ).
fof(f23162,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_group_6(k2_funct_1(X0),sK24,sK24) ),
inference(forward_subsumption_resolution,[],[f23154,f17135]) ).
fof(f23163,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| m2_relset_1(k2_funct_1(X0),u1_struct_0(sK24),u1_struct_0(sK24)) ),
inference(forward_subsumption_resolution,[],[f23155,f17135]) ).
fof(f23164,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_funct_1(k2_funct_1(X0)) ),
inference(forward_subsumption_resolution,[],[f23156,f17135]) ).
fof(f23168,plain,
v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24)),
inference(resolution,[],[f23161,f17140]) ).
fof(f23170,plain,
m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24)),
inference(resolution,[],[f23163,f17140]) ).
fof(f23174,plain,
v1_funct_1(k2_funct_1(sK25)),
inference(resolution,[],[f23164,f17140]) ).
fof(f23176,plain,
! [X0,X1] :
( ~ v4_group_6(sK25,X0,X1)
| v4_group_6(k2_funct_1(sK25),X1,X0)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(k2_funct_1(sK25),X1,X0)
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK25)
| ~ v1_funct_2(sK25,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(sK25,X0,X1)
| ~ m2_relset_1(sK25,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f23174,f22327]) ).
fof(f23177,plain,
! [X0] :
( ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(X0),u1_struct_0(X0))
| r2_hidden(k2_funct_1(sK25),k1_autgroup(X0))
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(k2_funct_1(sK25),X0,X0)
| ~ v4_group_6(k2_funct_1(sK25),X0,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f23174,f17128]) ).
fof(f23184,definition,
( spl613_24
<=> v1_xboole_0(u1_struct_0(sK24)) ),
introduced(definition,[new_symbols(definition,[spl613_24])],[avatar_definition]) ).
fof(f23185,plain,
( v1_xboole_0(u1_struct_0(sK24))
| ~ spl613_24 ),
inference(avatar_component_clause,[],[f23184]) ).
fof(f23202,plain,
( v3_struct_0(sK24)
| ~ l1_struct_0(sK24)
| ~ spl613_24 ),
inference(resolution,[],[f23185,f18859]) ).
fof(f23204,plain,
( ~ l1_struct_0(sK24)
| ~ spl613_24 ),
inference(forward_subsumption_resolution,[],[f23202,f17139]) ).
fof(f23206,plain,
( ~ l1_group_1(sK24)
| ~ spl613_24 ),
inference(resolution,[],[f23204,f18848]) ).
fof(f23208,plain,
( $false
| ~ spl613_24 ),
inference(forward_subsumption_resolution,[],[f23206,f17135]) ).
fof(f23209,plain,
~ spl613_24,
inference(avatar_contradiction_clause,[],[f23208]) ).
fof(f23210,plain,
v1_group_6(k2_funct_1(sK25),sK24,sK24),
inference(resolution,[],[f23162,f17140]) ).
fof(f23235,definition,
( spl613_29
<=> v1_funct_1(sK25) ),
introduced(definition,[new_symbols(definition,[spl613_29])],[avatar_definition]) ).
fof(f23236,plain,
( ~ v1_funct_1(sK25)
| spl613_29 ),
inference(avatar_component_clause,[],[f23235]) ).
fof(f23238,definition,
( spl613_30
<=> ! [X0,X1] :
( ~ v4_group_6(sK25,X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(sK25,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(sK25,X0,X1)
| ~ v1_funct_2(sK25,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(k2_funct_1(sK25),X1,X0)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(X1),u1_struct_0(X0))
| v4_group_6(k2_funct_1(sK25),X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl613_30])],[avatar_definition]) ).
fof(f23239,plain,
( ! [X0,X1] :
( ~ v4_group_6(sK25,X0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(sK25,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(sK25,X0,X1)
| ~ v1_funct_2(sK25,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(k2_funct_1(sK25),X1,X0)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(X1),u1_struct_0(X0))
| v4_group_6(k2_funct_1(sK25),X1,X0) )
| ~ spl613_30 ),
inference(avatar_component_clause,[],[f23238]) ).
fof(f23240,plain,
( ~ spl613_29
| spl613_30 ),
inference(avatar_split_clause,[],[f23176,f23238,f23235]) ).
fof(f23275,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m1_subset_1(X0,k1_autgroup(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f23121,f17136]) ).
fof(f23276,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m1_subset_1(X0,k1_autgroup(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23275,f17139]) ).
fof(f23277,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m1_subset_1(X0,k1_autgroup(sK24))
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23276,f17138]) ).
fof(f23278,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m1_subset_1(X0,k1_autgroup(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23277,f17137]) ).
fof(f23279,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m1_subset_1(X0,k1_autgroup(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)) ),
inference(forward_subsumption_resolution,[],[f23278,f17135]) ).
fof(f23281,definition,
( spl613_31
<=> ! [X0] :
( m1_subset_1(X0,k1_autgroup(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)) ) ),
introduced(definition,[new_symbols(definition,[spl613_31])],[avatar_definition]) ).
fof(f23282,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| m1_subset_1(X0,k1_autgroup(sK24)) )
| ~ spl613_31 ),
inference(avatar_component_clause,[],[f23281]) ).
fof(f23283,plain,
( spl613_31
| spl613_24 ),
inference(avatar_split_clause,[],[f23279,f23184,f23281]) ).
fof(f23284,plain,
( m1_subset_1(sK25,k1_autgroup(sK24))
| ~ spl613_31 ),
inference(resolution,[],[f23282,f17140]) ).
fof(f23292,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f23120,f17136]) ).
fof(f23293,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23292,f17139]) ).
fof(f23294,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23293,f17138]) ).
fof(f23295,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23294,f17137]) ).
fof(f23296,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)) ),
inference(forward_subsumption_resolution,[],[f23295,f17135]) ).
fof(f23298,definition,
( spl613_32
<=> ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)) ) ),
introduced(definition,[new_symbols(definition,[spl613_32])],[avatar_definition]) ).
fof(f23299,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24)) )
| ~ spl613_32 ),
inference(avatar_component_clause,[],[f23298]) ).
fof(f23300,plain,
( spl613_32
| spl613_24 ),
inference(avatar_split_clause,[],[f23296,f23184,f23298]) ).
fof(f23301,plain,
( v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ spl613_32 ),
inference(resolution,[],[f23299,f17140]) ).
fof(f23303,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f23123,f17136]) ).
fof(f23304,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23303,f17139]) ).
fof(f23305,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23304,f17138]) ).
fof(f23306,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23305,f17137]) ).
fof(f23307,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK24))
| m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)) ),
inference(forward_subsumption_resolution,[],[f23306,f17135]) ).
fof(f23309,definition,
( spl613_33
<=> ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24)) ) ),
introduced(definition,[new_symbols(definition,[spl613_33])],[avatar_definition]) ).
fof(f23310,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24)) )
| ~ spl613_33 ),
inference(avatar_component_clause,[],[f23309]) ).
fof(f23311,plain,
( spl613_33
| spl613_24 ),
inference(avatar_split_clause,[],[f23307,f23184,f23309]) ).
fof(f23312,plain,
( m2_relset_1(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ spl613_33 ),
inference(resolution,[],[f23310,f17140]) ).
fof(f23316,plain,
! [X0] :
( ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ l1_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_xboole_0(u1_struct_0(sK24))
| v1_funct_1(X0) ),
inference(resolution,[],[f23119,f17136]) ).
fof(f23317,plain,
! [X0] :
( ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ l1_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_xboole_0(u1_struct_0(sK24))
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f23316,f17138]) ).
fof(f23318,plain,
! [X0] :
( v3_struct_0(sK24)
| ~ l1_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_xboole_0(u1_struct_0(sK24))
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f23317,f17137]) ).
fof(f23319,plain,
! [X0] :
( ~ l1_group_1(sK24)
| ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_xboole_0(u1_struct_0(sK24))
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f23318,f17139]) ).
fof(f23320,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_xboole_0(u1_struct_0(sK24))
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f23319,f17135]) ).
fof(f23322,definition,
( spl613_34
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl613_34])],[avatar_definition]) ).
fof(f23323,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_funct_1(X0) )
| ~ spl613_34 ),
inference(avatar_component_clause,[],[f23322]) ).
fof(f23324,plain,
( spl613_24
| spl613_34 ),
inference(avatar_split_clause,[],[f23320,f23322,f23184]) ).
fof(f23325,plain,
( v1_funct_1(sK25)
| ~ spl613_34 ),
inference(resolution,[],[f23323,f17140]) ).
fof(f23327,plain,
( $false
| spl613_29
| ~ spl613_34 ),
inference(forward_subsumption_resolution,[],[f23325,f23236]) ).
fof(f23328,plain,
( spl613_29
| ~ spl613_34 ),
inference(avatar_contradiction_clause,[],[f23327]) ).
fof(f23368,definition,
( spl613_35
<=> v1_group_6(sK25,sK24,sK24) ),
introduced(definition,[new_symbols(definition,[spl613_35])],[avatar_definition]) ).
fof(f23369,plain,
( ~ v1_group_6(sK25,sK24,sK24)
| spl613_35 ),
inference(avatar_component_clause,[],[f23368]) ).
fof(f23392,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(k1_autgroup(X1))
| v4_group_6(X0,X1,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| ~ v1_group_6(X0,X1,X1)
| ~ m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_subset_1(X0,k1_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17596,f17127]) ).
fof(f23439,plain,
! [X0] :
( v1_xboole_0(k1_autgroup(sK24))
| v4_group_6(X0,sK24,sK24)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(X0,sK24,sK24)
| ~ m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ m1_subset_1(X0,k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f23392,f17136]) ).
fof(f23440,plain,
! [X0] :
( v1_xboole_0(k1_autgroup(sK24))
| v4_group_6(X0,sK24,sK24)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(X0,sK24,sK24)
| ~ m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ m1_subset_1(X0,k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23439,f17139]) ).
fof(f23441,plain,
! [X0] :
( v1_xboole_0(k1_autgroup(sK24))
| v4_group_6(X0,sK24,sK24)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(X0,sK24,sK24)
| ~ m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_group_1(sK24)
| ~ m1_subset_1(X0,k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23440,f17138]) ).
fof(f23442,plain,
! [X0] :
( v1_xboole_0(k1_autgroup(sK24))
| v4_group_6(X0,sK24,sK24)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(X0,sK24,sK24)
| ~ m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m1_subset_1(X0,k1_autgroup(sK24))
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23441,f17137]) ).
fof(f23443,plain,
! [X0] :
( v1_xboole_0(k1_autgroup(sK24))
| v4_group_6(X0,sK24,sK24)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(X0,sK24,sK24)
| ~ m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m1_subset_1(X0,k1_autgroup(sK24)) ),
inference(forward_subsumption_resolution,[],[f23442,f17135]) ).
fof(f23445,definition,
( spl613_37
<=> ! [X0] :
( v4_group_6(X0,sK24,sK24)
| ~ m1_subset_1(X0,k1_autgroup(sK24))
| ~ m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(X0,sK24,sK24)
| ~ v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl613_37])],[avatar_definition]) ).
fof(f23446,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m1_subset_1(X0,k1_autgroup(sK24))
| v4_group_6(X0,sK24,sK24)
| ~ v1_group_6(X0,sK24,sK24)
| ~ v1_funct_2(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_funct_1(X0) )
| ~ spl613_37 ),
inference(avatar_component_clause,[],[f23445]) ).
fof(f23448,definition,
( spl613_38
<=> v1_xboole_0(k1_autgroup(sK24)) ),
introduced(definition,[new_symbols(definition,[spl613_38])],[avatar_definition]) ).
fof(f23449,plain,
( v1_xboole_0(k1_autgroup(sK24))
| ~ spl613_38 ),
inference(avatar_component_clause,[],[f23448]) ).
fof(f23450,plain,
( spl613_37
| spl613_38 ),
inference(avatar_split_clause,[],[f23443,f23448,f23445]) ).
fof(f23452,plain,
( ~ m1_subset_1(sK25,k1_autgroup(sK24))
| v4_group_6(sK25,sK24,sK24)
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_funct_1(sK25)
| ~ spl613_33
| ~ spl613_37 ),
inference(resolution,[],[f23446,f23312]) ).
fof(f23457,definition,
( spl613_39
<=> v4_group_6(k2_funct_1(sK25),sK24,sK24) ),
introduced(definition,[new_symbols(definition,[spl613_39])],[avatar_definition]) ).
fof(f23458,plain,
( v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_39 ),
inference(avatar_component_clause,[],[f23457]) ).
fof(f23613,plain,
! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| sP1(X0,sK24)
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f17124,f17136]) ).
fof(f23614,plain,
! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| sP1(X0,sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23613,f17139]) ).
fof(f23615,plain,
! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v3_group_1(sK24)
| sP1(X0,sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23614,f17138]) ).
fof(f23616,plain,
! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| sP1(X0,sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23615,f17137]) ).
fof(f23617,plain,
! [X0] :
( ~ m1_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24))
| sP1(X0,sK24) ),
inference(forward_subsumption_resolution,[],[f23616,f17135]) ).
fof(f23618,plain,
( sP1(k1_autgroup(sK24),sK24)
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f23617,f17077]) ).
fof(f23620,plain,
( sP1(k1_autgroup(sK24),sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23618,f17139]) ).
fof(f23621,plain,
( sP1(k1_autgroup(sK24),sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23620,f17138]) ).
fof(f23622,plain,
( sP1(k1_autgroup(sK24),sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23621,f17137]) ).
fof(f23623,plain,
( sP1(k1_autgroup(sK24),sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f23622,f17136]) ).
fof(f23624,plain,
sP1(k1_autgroup(sK24),sK24),
inference(forward_subsumption_resolution,[],[f23623,f17135]) ).
fof(f23791,plain,
sP0(sK24,k1_autgroup(sK24)),
inference(resolution,[],[f22313,f23624]) ).
fof(f23792,plain,
( $false
| spl613_35 ),
inference(unit_resulting_resolution,[],[f17107,f23369,f17140,f23791]) ).
fof(f23794,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v1_group_6(X0,sK24,sK24) ),
inference(resolution,[],[f23791,f17107]) ).
fof(f23797,plain,
spl613_35,
inference(avatar_contradiction_clause,[],[f23792]) ).
fof(f23799,plain,
( v4_group_6(sK25,sK24,sK24)
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_funct_1(sK25)
| ~ spl613_31
| ~ spl613_33
| ~ spl613_37 ),
inference(forward_subsumption_resolution,[],[f23452,f23284]) ).
fof(f23805,plain,
( v4_group_6(sK25,sK24,sK24)
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_1(sK25)
| ~ spl613_31
| ~ spl613_32
| ~ spl613_33
| ~ spl613_37 ),
inference(forward_subsumption_resolution,[],[f23799,f23301]) ).
fof(f23814,plain,
( v4_group_6(sK25,sK24,sK24)
| ~ v1_group_6(sK25,sK24,sK24)
| ~ spl613_31
| ~ spl613_32
| ~ spl613_33
| ~ spl613_34
| ~ spl613_37 ),
inference(forward_subsumption_resolution,[],[f23805,f23325]) ).
fof(f23832,definition,
( spl613_58
<=> v4_group_6(sK25,sK24,sK24) ),
introduced(definition,[new_symbols(definition,[spl613_58])],[avatar_definition]) ).
fof(f23833,plain,
( v4_group_6(sK25,sK24,sK24)
| ~ spl613_58 ),
inference(avatar_component_clause,[],[f23832]) ).
fof(f23834,plain,
( ~ spl613_35
| spl613_58
| ~ spl613_31
| ~ spl613_32
| ~ spl613_33
| ~ spl613_34
| ~ spl613_37 ),
inference(avatar_split_clause,[],[f23814,f23445,f23322,f23309,f23298,f23281,f23832,f23368]) ).
fof(f23838,plain,
( ! [X0,X1] : ~ m1_fraenkel(k1_autgroup(sK24),X0,X1)
| ~ spl613_38 ),
inference(resolution,[],[f23449,f17151]) ).
fof(f23951,plain,
v1_group_6(sK25,sK24,sK24),
inference(resolution,[],[f23794,f17140]) ).
fof(f24013,plain,
( v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_38 ),
inference(resolution,[],[f23838,f17077]) ).
fof(f24015,plain,
( ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_38 ),
inference(forward_subsumption_resolution,[],[f24013,f17139]) ).
fof(f24016,plain,
( ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_38 ),
inference(forward_subsumption_resolution,[],[f24015,f17138]) ).
fof(f24017,plain,
( ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_38 ),
inference(forward_subsumption_resolution,[],[f24016,f17137]) ).
fof(f24018,plain,
( ~ l1_group_1(sK24)
| ~ spl613_38 ),
inference(forward_subsumption_resolution,[],[f24017,f17136]) ).
fof(f24019,plain,
( $false
| ~ spl613_38 ),
inference(forward_subsumption_resolution,[],[f24018,f17135]) ).
fof(f24020,plain,
~ spl613_38,
inference(avatar_contradiction_clause,[],[f24019]) ).
fof(f24026,plain,
( ~ l1_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ l1_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ m2_relset_1(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_58 ),
inference(resolution,[],[f23833,f23239]) ).
fof(f24039,plain,
( ~ l1_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ m2_relset_1(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_58 ),
inference(duplicate_literal_removal,[],[f24026]) ).
fof(f24044,plain,
( ~ v4_group_1(sK24)
| ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ m2_relset_1(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24039,f17135]) ).
fof(f24049,plain,
( ~ v3_group_1(sK24)
| v3_struct_0(sK24)
| ~ m2_relset_1(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24044,f17136]) ).
fof(f24054,plain,
( v3_struct_0(sK24)
| ~ m2_relset_1(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24049,f17137]) ).
fof(f24059,plain,
( ~ m2_relset_1(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24054,f17139]) ).
fof(f24064,plain,
( ~ v1_group_6(sK25,sK24,sK24)
| ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_33
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24059,f23312]) ).
fof(f24069,plain,
( ~ v1_funct_2(sK25,u1_struct_0(sK24),u1_struct_0(sK24))
| ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_33
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24064,f23951]) ).
fof(f24074,plain,
( ~ m2_relset_1(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_32
| ~ spl613_33
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24069,f23301]) ).
fof(f24079,plain,
( ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_32
| ~ spl613_33
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24074,f23170]) ).
fof(f24080,plain,
( ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_32
| ~ spl613_33
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24079,f23210]) ).
fof(f24081,plain,
( v4_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ spl613_30
| ~ spl613_32
| ~ spl613_33
| ~ spl613_58 ),
inference(forward_subsumption_resolution,[],[f24080,f23168]) ).
fof(f24082,plain,
( spl613_39
| ~ spl613_30
| ~ spl613_32
| ~ spl613_33
| ~ spl613_58 ),
inference(avatar_split_clause,[],[f24081,f23832,f23309,f23298,f23238,f23457]) ).
fof(f40723,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ v1_funct_2(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v4_group_6(k2_funct_1(sK25),sK24,sK24)
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24) ),
inference(resolution,[],[f23177,f23170]) ).
fof(f40724,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ v1_group_6(k2_funct_1(sK25),sK24,sK24)
| ~ v4_group_6(k2_funct_1(sK25),sK24,sK24)
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f40723,f23168]) ).
fof(f40725,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ v4_group_6(k2_funct_1(sK25),sK24,sK24)
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24) ),
inference(forward_subsumption_resolution,[],[f40724,f23210]) ).
fof(f40726,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40725,f23458]) ).
fof(f40727,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40726,f17139]) ).
fof(f40728,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40727,f17138]) ).
fof(f40729,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40728,f17137]) ).
fof(f40730,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40729,f17136]) ).
fof(f40731,plain,
( r2_hidden(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40730,f17135]) ).
fof(f40735,plain,
( m1_subset_1(k2_funct_1(sK25),k1_autgroup(sK24))
| ~ spl613_39 ),
inference(resolution,[],[f40731,f17255]) ).
fof(f40741,plain,
( ! [X0,X1] :
( ~ m1_fraenkel(k1_autgroup(sK24),X0,X1)
| v1_xboole_0(X1)
| m2_fraenkel(k2_funct_1(sK25),X0,X1,k1_autgroup(sK24)) )
| ~ spl613_39 ),
inference(resolution,[],[f40735,f17144]) ).
fof(f40742,plain,
( v1_xboole_0(u1_struct_0(sK24))
| m2_fraenkel(k2_funct_1(sK25),u1_struct_0(sK24),u1_struct_0(sK24),k1_autgroup(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(resolution,[],[f40741,f17077]) ).
fof(f40743,plain,
( v1_xboole_0(u1_struct_0(sK24))
| v3_struct_0(sK24)
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40742,f17141]) ).
fof(f40744,plain,
( v1_xboole_0(u1_struct_0(sK24))
| ~ v1_group_1(sK24)
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40743,f17139]) ).
fof(f40745,plain,
( v1_xboole_0(u1_struct_0(sK24))
| ~ v3_group_1(sK24)
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40744,f17138]) ).
fof(f40746,plain,
( v1_xboole_0(u1_struct_0(sK24))
| ~ v4_group_1(sK24)
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40745,f17137]) ).
fof(f40747,plain,
( v1_xboole_0(u1_struct_0(sK24))
| ~ l1_group_1(sK24)
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40746,f17136]) ).
fof(f40748,plain,
( v1_xboole_0(u1_struct_0(sK24))
| ~ spl613_39 ),
inference(forward_subsumption_resolution,[],[f40747,f17135]) ).
fof(f40749,plain,
( spl613_24
| ~ spl613_39 ),
inference(avatar_split_clause,[],[f40748,f23457,f23184]) ).
cnf(s24,plain,
~ spl613_24,
inference(sat_conversion,[],[f23209]) ).
cnf(s29,plain,
( ~ spl613_29
| spl613_30 ),
inference(sat_conversion,[],[f23240]) ).
cnf(s30,plain,
( spl613_24
| spl613_31 ),
inference(sat_conversion,[],[f23283]) ).
cnf(s31,plain,
( spl613_24
| spl613_32 ),
inference(sat_conversion,[],[f23300]) ).
cnf(s32,plain,
( spl613_24
| spl613_33 ),
inference(sat_conversion,[],[f23311]) ).
cnf(s33,plain,
( spl613_24
| spl613_34 ),
inference(sat_conversion,[],[f23324]) ).
cnf(s34,plain,
( spl613_29
| ~ spl613_34 ),
inference(sat_conversion,[],[f23328]) ).
cnf(s36,plain,
( spl613_37
| spl613_38 ),
inference(sat_conversion,[],[f23450]) ).
cnf(s50,plain,
spl613_35,
inference(sat_conversion,[],[f23797]) ).
cnf(s56,plain,
( ~ spl613_31
| ~ spl613_32
| ~ spl613_33
| ~ spl613_34
| ~ spl613_35
| ~ spl613_37
| spl613_58 ),
inference(sat_conversion,[],[f23834]) ).
cnf(s65,plain,
~ spl613_38,
inference(sat_conversion,[],[f24020]) ).
cnf(s66,plain,
( ~ spl613_30
| ~ spl613_32
| ~ spl613_33
| spl613_39
| ~ spl613_58 ),
inference(sat_conversion,[],[f24082]) ).
cnf(s1274,plain,
( spl613_24
| ~ spl613_39 ),
inference(sat_conversion,[],[f40749]) ).
cnf(s1392,plain,
spl613_37,
inference(rat,[],[s36,s65]) ).
cnf(s1394,plain,
~ spl613_39,
inference(rat,[],[s1274,s24]) ).
cnf(s1395,plain,
spl613_34,
inference(rat,[],[s33,s24]) ).
cnf(s1396,plain,
spl613_33,
inference(rat,[],[s32,s24]) ).
cnf(s1397,plain,
spl613_32,
inference(rat,[],[s31,s24]) ).
cnf(s1398,plain,
spl613_31,
inference(rat,[],[s30,s24]) ).
cnf(s1400,plain,
spl613_29,
inference(rat,[],[s34,s1395]) ).
cnf(s1409,plain,
spl613_58,
inference(rat,[],[s56,s1397,s1392,s50,s1395,s1396,s1398]) ).
cnf(s1410,plain,
spl613_30,
inference(rat,[],[s29,s1400]) ).
cnf(s1425,plain,
$false,
inference(rat,[],[s66,s1397,s1394,s1396,s1409,s1410]) ).
fof(f40750,plain,
$false,
inference(avatar_sat_refutation,[],[s1425]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP620+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.40 % Computer : n010.cluster.edu
% 0.17/0.40 % Model : x86_64 x86_64
% 0.17/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.40 % Memory : 8046.5625MB
% 0.17/0.40 % OS : Linux 6.8.0-71-generic
% 0.17/0.40 % CPULimit : 300
% 0.17/0.40 % WCLimit : 300
% 0.17/0.40 % DateTime : Sun Sep 27 10:09:38 UTC 2026
% 0.17/0.41 % CPUTime :
% 0.17/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.46 Running first-order theorem proving
% 0.17/0.46 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.70/4.80 % (731088)Detected formulas, will run a generic FOF schedule.
% 21.70/4.80 % (731106)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=1551830895:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 21.70/4.80 % (731111)dis-21_1_sil=8000:lcm=predicate:random_seed=140314893:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 21.70/4.80 % (731108)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3491654434:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 21.70/4.80 % (731107)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=3001444682:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 21.70/4.80 % (731109)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2491898235:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 21.70/4.80 % (731105)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=3936265934:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 21.70/4.80 % (731110)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=27265437:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 21.70/4.80 % (731111)Instruction limit reached!
% 21.70/4.80 % (731111)------------------------------
% 21.70/4.80 % (731111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.80 % (731111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.80 % (731111)CaDiCaL version: 2.1.3
% 21.70/4.80 % (731111)Termination reason: Instruction limit
% 21.70/4.80 % (731111)Termination phase: Preprocessing 1
% 21.70/4.80 % (731111)Time elapsed: 0.154 s
% 21.70/4.80 % (731111)Peak memory usage: 103 MB
% 21.70/4.80 % (731111)Instructions burned: 129 (million)
% 21.70/4.80 % (731108)Refutation not found, incomplete strategy
% 21.70/4.80 % (731108)------------------------------
% 21.70/4.80 % (731108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.80 % (731108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.80 % (731108)CaDiCaL version: 2.1.3
% 21.70/4.80 % (731108)Termination reason: Refutation not found, incomplete strategy
% 21.70/4.80 % (731108)Time elapsed: 0.090 s
% 21.70/4.80 % (731108)Peak memory usage: 106 MB
% 21.70/4.80 % (731108)Instructions burned: 77 (million)
% 21.70/4.80 % (731109)Instruction limit reached!
% 21.70/4.80 % (731109)------------------------------
% 21.70/4.80 % (731109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.80 % (731109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.80 % (731109)CaDiCaL version: 2.1.3
% 21.70/4.80 % (731109)Termination reason: Instruction limit
% 21.70/4.80 % (731109)Termination phase: Preprocessing 3
% 21.70/4.80 % (731109)Time elapsed: 0.145 s
% 21.70/4.80 % (731109)Peak memory usage: 104 MB
% 21.70/4.80 % (731109)Instructions burned: 120 (million)
% 21.70/4.80 % (731110)Instruction limit reached!
% 21.70/4.80 % (731110)------------------------------
% 21.70/4.80 % (731110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.80 % (731110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.80 % (731110)CaDiCaL version: 2.1.3
% 21.70/4.80 % (731110)Termination reason: Instruction limit
% 21.70/4.80 % (731110)Termination phase: Property scanning
% 21.70/4.80 % (731110)Time elapsed: 0.115 s
% 21.70/4.80 % (731110)Peak memory usage: 101 MB
% 21.70/4.80 % (731110)Instructions burned: 139 (million)
% 21.70/4.80 % (731121)lrs+10_1_sil=8000:sp=occurrence:random_seed=881601645:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 21.70/4.80 % (731122)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3965277469:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 21.70/4.80 % (731123)lrs+1011_1_sil=32000:sp=occurrence:random_seed=498870432:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 21.70/4.80 % (731122)Instruction limit reached!
% 21.70/4.80 % (731122)------------------------------
% 21.70/4.80 % (731122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.80 % (731122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.75 % (731122)CaDiCaL version: 2.1.3
% 35.48/6.75 % (731122)Termination reason: Instruction limit
% 35.48/6.75 % (731122)Termination phase: Property scanning
% 35.48/6.75 % (731122)Time elapsed: 0.072 s
% 35.48/6.75 % (731122)Peak memory usage: 101 MB
% 35.48/6.75 % (731122)Instructions burned: 157 (million)
% 35.48/6.75 % (731108)------------------------------
% 35.48/6.75 % (731108)------------------------------
% 35.48/6.75 % (731121)Instruction limit reached!
% 35.48/6.75 % (731121)------------------------------
% 35.48/6.75 % (731121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.48/6.75 % (731121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.75 % (731121)CaDiCaL version: 2.1.3
% 35.48/6.75 % (731121)Termination reason: Instruction limit
% 35.48/6.75 % (731121)Termination phase: Saturation
% 35.48/6.75 % (731121)Time elapsed: 0.312 s
% 35.48/6.75 % (731121)Peak memory usage: 109 MB
% 35.48/6.75 % (731121)Instructions burned: 286 (million)
% 35.48/6.75 % (731129)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=952977666:s2a=on:i=248:s2at=1.23:gtg=position_2984 on theBenchmark for (2984ds/248Mi)
% 35.48/6.75 % (731123)Instruction limit reached!
% 35.48/6.75 % (731123)------------------------------
% 35.48/6.75 % (731123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.48/6.75 % (731123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.75 % (731123)CaDiCaL version: 2.1.3
% 35.48/6.75 % (731123)Termination reason: Instruction limit
% 35.48/6.75 % (731123)Termination phase: Saturation
% 35.48/6.75 % (731123)Time elapsed: 0.294 s
% 35.48/6.75 % (731123)Peak memory usage: 107 MB
% 35.48/6.75 % (731123)Instructions burned: 326 (million)
% 35.48/6.75 % (731130)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3897346826:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 35.48/6.75 % (731129)Instruction limit reached!
% 35.48/6.75 % (731129)------------------------------
% 35.48/6.75 % (731129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.48/6.75 % (731129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.75 % (731129)CaDiCaL version: 2.1.3
% 35.48/6.75 % (731129)Termination reason: Instruction limit
% 35.48/6.75 % (731129)Termination phase: SInE selection
% 35.48/6.75 % (731129)Time elapsed: 0.125 s
% 35.48/6.75 % (731129)Peak memory usage: 102 MB
% 35.48/6.75 % (731129)Instructions burned: 249 (million)
% 35.48/6.75 % (731134)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1840913566:i=2350_2982 on theBenchmark for (2982ds/2350Mi)
% 35.48/6.75 % (731135)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2980785055:cts=off:i=113:fsr=off:ss=included:sgt=4_2981 on theBenchmark for (2981ds/113Mi)
% 35.48/6.75 % (731137)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1537413552:i=127:av=off:fsr=off:sup=off_2981 on theBenchmark for (2981ds/127Mi)
% 35.48/6.75 % (731130)Instruction limit reached!
% 35.48/6.75 % (731130)------------------------------
% 35.48/6.75 % (731130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.48/6.75 % (731130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.75 % (731130)CaDiCaL version: 2.1.3
% 35.48/6.75 % (731130)Termination reason: Instruction limit
% 35.48/6.75 % (731130)Termination phase: Saturation
% 35.48/6.75 % (731130)Time elapsed: 0.300 s
% 35.48/6.75 % (731130)Peak memory usage: 109 MB
% 35.48/6.75 % (731130)Instructions burned: 295 (million)
% 35.48/6.75 % (731137)Instruction limit reached!
% 35.48/6.75 % (731137)------------------------------
% 35.48/6.75 % (731137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.48/6.75 % (731137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.75 % (731137)CaDiCaL version: 2.1.3
% 35.48/6.75 % (731137)Termination reason: Instruction limit
% 35.48/6.75 % (731137)Termination phase: Preprocessing 2
% 35.48/6.75 % (731137)Time elapsed: 0.092 s
% 35.48/6.75 % (731137)Peak memory usage: 106 MB
% 35.48/6.75 % (731137)Instructions burned: 127 (million)
% 35.48/6.75 % (731135)Instruction limit reached!
% 35.48/6.75 % (731135)------------------------------
% 35.48/6.75 % (731135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.48/6.75 % (731135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.75 % (731135)CaDiCaL version: 2.1.3
% 35.48/6.75 % (731135)Termination reason: Instruction limit
% 35.48/6.75 % (731135)Termination phase: Preprocessing 3
% 28.03/9.59 % (731135)Time elapsed: 0.146 s
% 28.03/9.59 % (731135)Peak memory usage: 105 MB
% 28.03/9.59 % (731135)Instructions burned: 113 (million)
% 28.03/9.59 % (731145)lrs+10_1_sil=8000:sp=occurrence:random_seed=195667290:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2977 on theBenchmark for (2977ds/907Mi)
% 28.03/9.59 % (731144)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3825705732:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2978 on theBenchmark for (2978ds/114Mi)
% 28.03/9.59 % (731146)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=325214525:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 28.03/9.59 % (731144)Instruction limit reached!
% 28.03/9.59 % (731144)------------------------------
% 28.03/9.59 % (731144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731144)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731144)Termination reason: Instruction limit
% 28.03/9.59 % (731144)Termination phase: Property scanning
% 28.03/9.59 % (731144)Time elapsed: 0.095 s
% 28.03/9.59 % (731144)Peak memory usage: 101 MB
% 28.03/9.59 % (731144)Instructions burned: 114 (million)
% 28.03/9.59 % (731150)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1582338914:i=5202:ss=axioms:sgt=16_2974 on theBenchmark for (2974ds/5202Mi)
% 28.03/9.59 % (731145)Instruction limit reached!
% 28.03/9.59 % (731145)------------------------------
% 28.03/9.59 % (731145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731145)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731145)Termination reason: Instruction limit
% 28.03/9.59 % (731145)Termination phase: Saturation
% 28.03/9.59 % (731145)Time elapsed: 0.493 s
% 28.03/9.59 % (731145)Peak memory usage: 119 MB
% 28.03/9.59 % (731145)Instructions burned: 907 (million)
% 28.03/9.59 % (731146)Instruction limit reached!
% 28.03/9.59 % (731146)------------------------------
% 28.03/9.59 % (731146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731146)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731146)Termination reason: Instruction limit
% 28.03/9.59 % (731146)Termination phase: Saturation
% 28.03/9.59 % (731146)Time elapsed: 0.435 s
% 28.03/9.59 % (731146)Peak memory usage: 108 MB
% 28.03/9.59 % (731146)Instructions burned: 437 (million)
% 28.03/9.59 % (731152)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4211362481:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2970 on theBenchmark for (2970ds/134Mi)
% 28.03/9.59 % (731153)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=851592844:st=8:i=592:sd=3:ep=RST:ss=axioms_2970 on theBenchmark for (2970ds/592Mi)
% 28.03/9.59 % (731152)Instruction limit reached!
% 28.03/9.59 % (731152)------------------------------
% 28.03/9.59 % (731152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731152)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731152)Termination reason: Instruction limit
% 28.03/9.59 % (731152)Termination phase: Property scanning
% 28.03/9.59 % (731152)Time elapsed: 0.148 s
% 28.03/9.59 % (731152)Peak memory usage: 105 MB
% 28.03/9.59 % (731152)Instructions burned: 134 (million)
% 28.03/9.59 % (731160)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4222677238:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 28.03/9.59 % (731153)Instruction limit reached!
% 28.03/9.59 % (731153)------------------------------
% 28.03/9.59 % (731153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731153)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731153)Termination reason: Instruction limit
% 28.03/9.59 % (731153)Termination phase: Property scanning
% 28.03/9.59 % (731153)Time elapsed: 0.373 s
% 28.03/9.59 % (731153)Peak memory usage: 123 MB
% 28.03/9.59 % (731153)Instructions burned: 593 (million)
% 28.03/9.59 % (731162)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3465315557:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/125Mi)
% 28.03/9.59 % (731162)Instruction limit reached!
% 28.03/9.59 % (731162)------------------------------
% 28.03/9.59 % (731162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731162)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731162)Termination reason: Instruction limit
% 28.03/9.59 % (731162)Termination phase: Property scanning
% 28.03/9.59 % (731162)Time elapsed: 0.059 s
% 28.03/9.59 % (731162)Peak memory usage: 101 MB
% 28.03/9.59 % (731162)Instructions burned: 126 (million)
% 28.03/9.59 % (731164)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2714989295:i=134:gtgl=5:slsql=off:gtg=exists_sym_2961 on theBenchmark for (2961ds/134Mi)
% 28.03/9.59 % (731164)Instruction limit reached!
% 28.03/9.59 % (731164)------------------------------
% 28.03/9.59 % (731164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731164)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731164)Termination reason: Instruction limit
% 28.03/9.59 % (731164)Termination phase: Property scanning
% 28.03/9.59 % (731164)Time elapsed: 0.062 s
% 28.03/9.59 % (731164)Peak memory usage: 101 MB
% 28.03/9.59 % (731164)Instructions burned: 134 (million)
% 28.03/9.59 % (731166)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3074757117:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/141Mi)
% 28.03/9.59 % (731166)Refutation not found, incomplete strategy
% 28.03/9.59 % (731166)------------------------------
% 28.03/9.59 % (731166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731166)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731166)Termination reason: Refutation not found, incomplete strategy
% 28.03/9.59 % (731166)Time elapsed: 0.061 s
% 28.03/9.59 % (731166)Peak memory usage: 106 MB
% 28.03/9.59 % (731166)Instructions burned: 78 (million)
% 28.03/9.59 % (731134)Instruction limit reached!
% 28.03/9.59 % (731134)------------------------------
% 28.03/9.59 % (731134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731134)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731134)Termination reason: Instruction limit
% 28.03/9.59 % (731134)Termination phase: Saturation
% 28.03/9.59 % (731134)Time elapsed: 2.405 s
% 28.03/9.59 % (731134)Peak memory usage: 228 MB
% 28.03/9.59 % (731134)Instructions burned: 2351 (million)
% 28.03/9.59 % (731166)------------------------------
% 28.03/9.59 % (731166)------------------------------
% 28.03/9.59 % (731168)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2366082041:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/431Mi)
% 28.03/9.59 % (731170)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3989809752:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 28.03/9.59 % (731168)Refutation not found, incomplete strategy
% 28.03/9.59 % (731168)------------------------------
% 28.03/9.59 % (731168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731168)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731168)Termination reason: Refutation not found, incomplete strategy
% 28.03/9.59 % (731168)Time elapsed: 0.105 s
% 28.03/9.59 % (731168)Peak memory usage: 106 MB
% 28.03/9.59 % (731168)Instructions burned: 81 (million)
% 28.03/9.59 % (731168)------------------------------
% 28.03/9.59 % (731168)------------------------------
% 28.03/9.59 % (731174)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4082259932:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2947 on theBenchmark for (2947ds/150Mi)
% 28.03/9.59 % (731174)Instruction limit reached!
% 28.03/9.59 % (731174)------------------------------
% 28.03/9.59 % (731174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731174)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731174)Termination reason: Instruction limit
% 28.03/9.59 % (731174)Termination phase: Preprocessing 1
% 28.03/9.59 % (731174)Time elapsed: 0.178 s
% 28.03/9.59 % (731174)Peak memory usage: 102 MB
% 28.03/9.59 % (731174)Instructions burned: 150 (million)
% 28.03/9.59 % (731176)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3556483160:i=14155:bd=all_2942 on theBenchmark for (2942ds/14155Mi)
% 28.03/9.59 % (731106)First to succeed.
% 28.03/9.59 % (731106)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-731088"
% 28.03/9.59 % (731150)Instruction limit reached!
% 28.03/9.59 % (731150)------------------------------
% 28.03/9.59 % (731150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.03/9.59 % (731150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.03/9.59 % (731150)CaDiCaL version: 2.1.3
% 28.03/9.59 % (731150)Termination reason: Instruction limit
% 28.03/9.59 % (731150)Termination phase: Saturation
% 28.03/9.59 % (731150)Time elapsed: 5.319 s
% 28.03/9.59 % (731150)Peak memory usage: 441 MB
% 28.03/9.59 % (731150)Instructions burned: 5203 (million)
% 28.03/9.59 % (731184)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=630581578:i=667:av=off:fsr=off_2917 on theBenchmark for (2917ds/667Mi)
% 28.03/9.59 % (731106)Refutation found. Thanks to Tanya!
% 28.03/9.59 % SZS status Theorem for theBenchmark
% 28.03/9.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/9.81 % (731106)------------------------------
% 0.23/9.81 % (731106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/9.81 % (731106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/9.81 % (731106)CaDiCaL version: 2.1.3
% 0.23/9.81 % (731106)Termination reason: Refutation
% 0.23/9.81 % (731106)Time elapsed: 7.004 s
% 0.23/9.81 % (731106)Peak memory usage: 212 MB
% 0.23/9.81 % (731106)Instructions burned: 6828 (million)
% 0.23/9.81 % (731106)------------------------------
% 0.23/9.81 % (731106)------------------------------
% 0.23/9.81 % (731088)Success in time 8.594 s
% 0.23/9.81 % Vampire exiting
%------------------------------------------------------------------------------