%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP621+1 : 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 : n001.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 10:15:02 AM UTC 2026
% Result : Theorem 9.72s 2.24s
% Output : Refutation 10.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 31
% Syntax : Number of formulae : 338 ( 29 unt; 15 def)
% Number of atoms : 2764 ( 46 equ)
% Maximal formula atoms : 30 ( 8 avg)
% Number of connectives : 4324 (1898 ~;2174 |; 186 &)
% ( 32 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 15 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 286 ( 0 sgn 277 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_autgroup) ).
fof(f2,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))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f13,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(f15,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(f21,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ 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)
& ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k8_group_6(X0,X1,X2,X3,X4))
& v1_funct_2(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_6) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f24,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(f27,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(f40,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(f58,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m1_relset_1(X3,X0,X1)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2) )
=> k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(f59,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ 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)
& ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> k8_group_6(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_group_6) ).
fof(f60,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(f61,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f63,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f64,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f67,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(f70,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] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_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)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ( v4_group_6(X3,X0,X1)
& v4_group_6(X4,X1,X2) )
=> v4_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_group_6) ).
fof(f73,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,[],[f13]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X2,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,[],[f2]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X2,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,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( v4_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
| ~ v4_group_6(X3,X0,X1)
| ~ v4_group_6(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
| ~ 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)) )
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
| 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,[],[f70]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( v4_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
| ~ v4_group_6(X3,X0,X1)
| ~ v4_group_6(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
| ~ 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)) )
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) )
| 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,[],[f80]) ).
fof(f82,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,[],[f67]) ).
fof(f83,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,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4] :
( k8_group_6(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( k8_group_6(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(flattening,[],[f84]) ).
fof(f90,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f91,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k8_group_6(X0,X1,X2,X3,X4))
& v1_funct_2(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2)) )
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k8_group_6(X0,X1,X2,X3,X4))
& v1_funct_2(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
& v1_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2)) )
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(flattening,[],[f93]) ).
fof(f95,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,[],[f15]) ).
fof(f96,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,[],[f95]) ).
fof(f97,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,[],[f73]) ).
fof(f98,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,[],[f97]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(ennf_transformation,[],[f58]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4] :
( k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(flattening,[],[f105]) ).
fof(f111,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,[],[f60]) ).
fof(f112,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,[],[f111]) ).
fof(f115,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,[],[f27]) ).
fof(f116,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,[],[f115]) ).
fof(f123,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f124,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f138,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f148,definition,
! [X0,X1] :
( sP0(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(f149,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) )
& sP0(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,[],[f98,f148]) ).
fof(f150,plain,
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(sK3,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& ~ v3_struct_0(sK1)
& v1_group_1(sK1)
& v3_group_1(sK1)
& v4_group_1(sK1)
& l1_group_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f79]) ).
fof(f151,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,[],[f83]) ).
fof(f158,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) )
| ~ 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) )
& sP0(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,[],[f149]) ).
fof(f159,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) )
| ~ 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) )
& sP0(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,[],[f158]) ).
fof(f160,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) )
| ~ sP0(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) )
& sP0(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,[],[f159]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ( ( ~ v1_funct_1(sK7(X0,X1))
| ~ v1_funct_2(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK7(X0,X1),X0,X0)
| ~ m2_relset_1(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP0(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) )
& sP0(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,[sK7]),skolemize(X2,sK7(X0,X1))],[f160]) ).
fof(f166,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,[],[f112]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f184,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f150]) ).
fof(f185,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f150]) ).
fof(f186,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f150]) ).
fof(f187,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f150]) ).
fof(f188,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f150]) ).
fof(f189,plain,
m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f150]) ).
fof(f190,plain,
m2_fraenkel(sK3,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f150]) ).
fof(f191,plain,
~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f150]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] :
( v4_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
| ~ v4_group_6(X3,X0,X1)
| ~ v4_group_6(X4,X1,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ 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))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| 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,[],[f81]) ).
fof(f193,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(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)
| v4_group_6(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,[],[f151]) ).
fof(f194,plain,
! [X0,X1] :
( ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(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)
| r2_hidden(X1,k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| k8_group_6(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f205,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X4] :
( v1_group_6(k8_group_6(X0,X1,X2,X3,X4),X0,X2)
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f211,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_2(k8_group_6(X0,X1,X2,X3,X4),u1_struct_0(X0),u1_struct_0(X2))
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k8_group_6(X0,X1,X2,X3,X4))
| 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)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f213,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,[],[f96]) ).
fof(f226,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,[],[f161]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X4,X1,X2)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| ~ v1_funct_1(X4)
| k7_funct_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f252,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,[],[f166]) ).
fof(f253,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,[],[f166]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| m2_relset_1(X3,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_2(X3,X0,X1)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_funct_1(X3)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f266,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f267,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f287,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f321,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f328,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,[],[f226]) ).
fof(f335,plain,
l1_struct_0(sK1),
inference(resolution,[],[f287,f184]) ).
fof(f444,plain,
( v1_funct_1(sK2)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f257,f189]) ).
fof(f445,plain,
( v1_funct_1(sK3)
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f257,f190]) ).
fof(f447,definition,
( spl28_3
<=> m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_3])],[avatar_definition]) ).
fof(f448,plain,
( m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl28_3 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f451,definition,
( spl28_4
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_4])],[avatar_definition]) ).
fof(f452,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl28_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl28_5
<=> v1_funct_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl28_5])],[avatar_definition]) ).
fof(f457,plain,
( v1_funct_1(sK3)
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f458,plain,
( ~ spl28_3
| spl28_4
| spl28_5 ),
inference(avatar_split_clause,[],[f445,f455,f451,f447]) ).
fof(f460,definition,
( spl28_6
<=> v1_funct_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl28_6])],[avatar_definition]) ).
fof(f462,plain,
( v1_funct_1(sK2)
| ~ spl28_6 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f463,plain,
( ~ spl28_3
| spl28_4
| spl28_6 ),
inference(avatar_split_clause,[],[f444,f460,f451,f447]) ).
fof(f468,plain,
( m1_subset_1(sK2,k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f252,f189]) ).
fof(f469,plain,
( m1_subset_1(sK3,k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f252,f190]) ).
fof(f470,plain,
( ~ m1_subset_1(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f253,f191]) ).
fof(f487,plain,
( m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f255,f189]) ).
fof(f488,plain,
( m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f255,f190]) ).
fof(f515,plain,
( v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f256,f189]) ).
fof(f516,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(resolution,[],[f256,f190]) ).
fof(f556,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_3 ),
inference(resolution,[],[f213,f449]) ).
fof(f559,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f556,f188]) ).
fof(f560,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f559,f187]) ).
fof(f561,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f560,f186]) ).
fof(f562,plain,
( ~ l1_group_1(sK1)
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f561,f185]) ).
fof(f563,plain,
( $false
| spl28_3 ),
inference(forward_subsumption_resolution,[],[f562,f184]) ).
fof(f564,plain,
spl28_3,
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f565,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl28_4 ),
inference(resolution,[],[f453,f205]) ).
fof(f574,plain,
( ~ l1_struct_0(sK1)
| ~ spl28_4 ),
inference(forward_subsumption_resolution,[],[f565,f188]) ).
fof(f576,plain,
( $false
| ~ spl28_4 ),
inference(forward_subsumption_resolution,[],[f574,f335]) ).
fof(f577,plain,
~ spl28_4,
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f580,plain,
( m1_subset_1(sK3,k1_autgroup(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f469,f452]) ).
fof(f581,plain,
( m1_subset_1(sK2,k1_autgroup(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f468,f452]) ).
fof(f582,plain,
( ~ m1_subset_1(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),k1_autgroup(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f470,f452]) ).
fof(f583,plain,
( m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f488,f452]) ).
fof(f584,plain,
( m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f487,f452]) ).
fof(f585,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f516,f452]) ).
fof(f586,plain,
( v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f515,f452]) ).
fof(f587,plain,
( m1_subset_1(sK3,k1_autgroup(sK1))
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f580,f448]) ).
fof(f588,plain,
( m1_subset_1(sK2,k1_autgroup(sK1))
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f581,f448]) ).
fof(f589,plain,
( ~ m1_subset_1(k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2),k1_autgroup(sK1))
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f582,f448]) ).
fof(f590,plain,
( m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f583,f448]) ).
fof(f591,plain,
( m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f584,f448]) ).
fof(f592,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f585,f448]) ).
fof(f593,plain,
( v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f586,f448]) ).
fof(f608,plain,
( r2_hidden(sK3,k1_autgroup(sK1))
| v1_xboole_0(k1_autgroup(sK1))
| ~ spl28_3
| spl28_4 ),
inference(resolution,[],[f587,f266]) ).
fof(f621,definition,
( spl28_12
<=> v1_xboole_0(k1_autgroup(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_12])],[avatar_definition]) ).
fof(f622,plain,
( ~ v1_xboole_0(k1_autgroup(sK1))
| spl28_12 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f623,plain,
( v1_xboole_0(k1_autgroup(sK1))
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f625,definition,
( spl28_13
<=> r2_hidden(sK3,k1_autgroup(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_13])],[avatar_definition]) ).
fof(f627,plain,
( r2_hidden(sK3,k1_autgroup(sK1))
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f628,plain,
( spl28_12
| spl28_13
| ~ spl28_3
| spl28_4 ),
inference(avatar_split_clause,[],[f608,f451,f447,f625,f621]) ).
fof(f648,plain,
( r2_hidden(sK2,k1_autgroup(sK1))
| v1_xboole_0(k1_autgroup(sK1))
| ~ spl28_3
| spl28_4 ),
inference(resolution,[],[f588,f266]) ).
fof(f793,plain,
( m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4 ),
inference(resolution,[],[f590,f259]) ).
fof(f802,definition,
( spl28_31
<=> v1_group_6(sK3,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl28_31])],[avatar_definition]) ).
fof(f803,plain,
( v1_group_6(sK3,sK1,sK1)
| ~ spl28_31 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
( ~ v1_group_6(sK3,sK1,sK1)
| spl28_31 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f821,plain,
( v1_group_6(sK2,sK1,sK1)
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(resolution,[],[f328,f189]) ).
fof(f822,plain,
( v1_group_6(sK3,sK1,sK1)
| ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(resolution,[],[f328,f190]) ).
fof(f831,plain,
( ~ m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_31 ),
inference(forward_subsumption_resolution,[],[f822,f804]) ).
fof(f832,plain,
( v1_group_6(sK2,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f821,f213]) ).
fof(f834,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_31 ),
inference(forward_subsumption_resolution,[],[f831,f213]) ).
fof(f835,plain,
( v1_group_6(sK2,sK1,sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f832,f188]) ).
fof(f837,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_31 ),
inference(forward_subsumption_resolution,[],[f834,f188]) ).
fof(f838,plain,
( v1_group_6(sK2,sK1,sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f835,f187]) ).
fof(f840,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_31 ),
inference(forward_subsumption_resolution,[],[f837,f187]) ).
fof(f841,plain,
( v1_group_6(sK2,sK1,sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f838,f186]) ).
fof(f843,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl28_31 ),
inference(forward_subsumption_resolution,[],[f840,f186]) ).
fof(f844,plain,
( v1_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f841,f185]) ).
fof(f846,plain,
( ~ l1_group_1(sK1)
| spl28_31 ),
inference(forward_subsumption_resolution,[],[f843,f185]) ).
fof(f847,plain,
v1_group_6(sK2,sK1,sK1),
inference(forward_subsumption_resolution,[],[f844,f184]) ).
fof(f848,plain,
( $false
| spl28_31 ),
inference(forward_subsumption_resolution,[],[f846,f184]) ).
fof(f849,plain,
spl28_31,
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f922,plain,
( m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4 ),
inference(resolution,[],[f591,f259]) ).
fof(f1007,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| v4_group_6(sK3,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4 ),
inference(resolution,[],[f193,f590]) ).
fof(f1008,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| v4_group_6(sK2,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4 ),
inference(resolution,[],[f193,f591]) ).
fof(f1017,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| v4_group_6(sK2,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1008,f462]) ).
fof(f1018,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| v4_group_6(sK3,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5 ),
inference(forward_subsumption_resolution,[],[f1007,f457]) ).
fof(f1022,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| v4_group_6(sK2,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1017,f593]) ).
fof(f1023,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| v4_group_6(sK3,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5 ),
inference(forward_subsumption_resolution,[],[f1018,f592]) ).
fof(f1025,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| v4_group_6(sK2,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1022,f847]) ).
fof(f1026,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| v4_group_6(sK3,sK1,sK1)
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1023,f803]) ).
fof(f1028,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| v4_group_6(sK2,sK1,sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1025,f188]) ).
fof(f1029,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| v4_group_6(sK3,sK1,sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1026,f188]) ).
fof(f1030,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| v4_group_6(sK2,sK1,sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1028,f187]) ).
fof(f1031,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| v4_group_6(sK3,sK1,sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1029,f187]) ).
fof(f1032,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| v4_group_6(sK2,sK1,sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1030,f186]) ).
fof(f1033,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| v4_group_6(sK3,sK1,sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1031,f186]) ).
fof(f1034,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| v4_group_6(sK2,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1032,f185]) ).
fof(f1035,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| v4_group_6(sK3,sK1,sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1033,f185]) ).
fof(f1036,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| v4_group_6(sK2,sK1,sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1034,f184]) ).
fof(f1037,plain,
( ~ r2_hidden(sK3,k1_autgroup(sK1))
| v4_group_6(sK3,sK1,sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1035,f184]) ).
fof(f1041,definition,
( spl28_39
<=> v4_group_6(sK2,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl28_39])],[avatar_definition]) ).
fof(f1042,plain,
( ~ v4_group_6(sK2,sK1,sK1)
| spl28_39 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1043,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ spl28_39 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1050,definition,
( spl28_41
<=> v4_group_6(sK3,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl28_41])],[avatar_definition]) ).
fof(f1051,plain,
( ~ v4_group_6(sK3,sK1,sK1)
| spl28_41 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1052,plain,
( v4_group_6(sK3,sK1,sK1)
| ~ spl28_41 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1121,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4 ),
inference(resolution,[],[f593,f195]) ).
fof(f1122,plain,
( ! [X0,X1] :
( v1_xboole_0(u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2) = k5_relat_1(X0,sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4 ),
inference(resolution,[],[f593,f246]) ).
fof(f1126,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4 ),
inference(duplicate_literal_removal,[],[f1121]) ).
fof(f1129,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2) = k5_relat_1(X0,sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f1122,f452]) ).
fof(f1130,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f1126,f188]) ).
fof(f1133,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK1))
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2) = k5_relat_1(X0,sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1129,f462]) ).
fof(f1134,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f1130,f186]) ).
fof(f1137,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK1))
| k7_funct_2(X1,u1_struct_0(sK1),u1_struct_0(sK1),X0,sK2) = k5_relat_1(X0,sK2) )
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1133,f922]) ).
fof(f1138,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f1134,f185]) ).
fof(f1139,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4 ),
inference(forward_subsumption_resolution,[],[f1138,f184]) ).
fof(f1140,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1139,f462]) ).
fof(f1141,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) )
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1140,f847]) ).
fof(f1142,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK1))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| v3_struct_0(X0)
| ~ v1_group_6(X1,X0,sK1)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK1))
| k8_group_6(X0,sK1,sK1,X1,sK2) = k5_relat_1(X1,sK2) )
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f1141,f922]) ).
fof(f1143,plain,
! [X2,X3,X0,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)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X1,X0)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v4_group_6(k8_group_6(X0,X1,X0,X2,X3),X0,X0)
| ~ v1_funct_1(k8_group_6(X0,X1,X0,X2,X3))
| ~ v1_funct_2(k8_group_6(X0,X1,X0,X2,X3),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(k8_group_6(X0,X1,X0,X2,X3),X0,X0)
| r2_hidden(k8_group_6(X0,X1,X0,X2,X3),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f209,f194]) ).
fof(f1154,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(k8_group_6(X0,X1,X0,X2,X3),u1_struct_0(X0),u1_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)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X3,X1,X0)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v4_group_6(k8_group_6(X0,X1,X0,X2,X3),X0,X0)
| ~ v1_funct_1(k8_group_6(X0,X1,X0,X2,X3))
| v3_struct_0(X0)
| ~ v1_group_6(k8_group_6(X0,X1,X0,X2,X3),X0,X0)
| r2_hidden(k8_group_6(X0,X1,X0,X2,X3),k1_autgroup(X0))
| ~ v1_group_1(X0) ),
inference(duplicate_literal_removal,[],[f1143]) ).
fof(f1172,plain,
( ~ v1_xboole_0(k1_autgroup(sK1))
| ~ spl28_3 ),
inference(resolution,[],[f448,f321]) ).
fof(f1177,plain,
( $false
| ~ spl28_3
| ~ spl28_12 ),
inference(forward_subsumption_resolution,[],[f1172,f623]) ).
fof(f1178,plain,
( ~ spl28_3
| ~ spl28_12 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1179,plain,
( r2_hidden(sK2,k1_autgroup(sK1))
| ~ spl28_3
| spl28_4
| spl28_12 ),
inference(forward_subsumption_resolution,[],[f648,f622]) ).
fof(f1180,plain,
( ~ r2_hidden(sK2,k1_autgroup(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_6
| spl28_39 ),
inference(forward_subsumption_resolution,[],[f1036,f1042]) ).
fof(f1181,plain,
( v4_group_6(sK3,sK1,sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_13
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f1037,f627]) ).
fof(f1182,plain,
( $false
| ~ spl28_3
| spl28_4
| ~ spl28_6
| spl28_12
| spl28_39 ),
inference(forward_subsumption_resolution,[],[f1180,f1179]) ).
fof(f1183,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_6
| spl28_12
| spl28_39 ),
inference(avatar_contradiction_clause,[],[f1182]) ).
fof(f1184,plain,
( $false
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_13
| ~ spl28_31
| spl28_41 ),
inference(forward_subsumption_resolution,[],[f1181,f1051]) ).
fof(f1185,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_13
| ~ spl28_31
| spl28_41 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f2999,plain,
( ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2) = k5_relat_1(sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(resolution,[],[f1137,f592]) ).
fof(f3010,plain,
( ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2) = k5_relat_1(sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f2999,f457]) ).
fof(f3024,plain,
( k7_funct_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),sK3,sK2) = k5_relat_1(sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f3010,f793]) ).
fof(f3200,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| v3_struct_0(sK1)
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k5_relat_1(sK3,sK2) = k8_group_6(sK1,sK1,sK1,sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(resolution,[],[f1142,f592]) ).
fof(f3213,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| v3_struct_0(sK1)
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k5_relat_1(sK3,sK2) = k8_group_6(sK1,sK1,sK1,sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f3200,f186]) ).
fof(f3222,plain,
( ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| v3_struct_0(sK1)
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k5_relat_1(sK3,sK2) = k8_group_6(sK1,sK1,sK1,sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f3213,f185]) ).
fof(f3230,plain,
( ~ v1_funct_1(sK3)
| v3_struct_0(sK1)
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k5_relat_1(sK3,sK2) = k8_group_6(sK1,sK1,sK1,sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f3222,f184]) ).
fof(f3236,plain,
( v3_struct_0(sK1)
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k5_relat_1(sK3,sK2) = k8_group_6(sK1,sK1,sK1,sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f3230,f457]) ).
fof(f3241,plain,
( ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k5_relat_1(sK3,sK2) = k8_group_6(sK1,sK1,sK1,sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6 ),
inference(forward_subsumption_resolution,[],[f3236,f188]) ).
fof(f3246,plain,
( ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| k5_relat_1(sK3,sK2) = k8_group_6(sK1,sK1,sK1,sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f3241,f803]) ).
fof(f3251,plain,
( k5_relat_1(sK3,sK2) = k8_group_6(sK1,sK1,sK1,sK3,sK2)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f3246,f793]) ).
fof(f4727,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v4_group_6(sK3,sK1,sK1)
| ~ v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(superposition,[],[f192,f3251]) ).
fof(f4729,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(superposition,[],[f210,f3251]) ).
fof(f4730,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(superposition,[],[f211,f3251]) ).
fof(f4731,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(superposition,[],[f212,f3251]) ).
fof(f4736,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| v3_struct_0(sK1)
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(superposition,[],[f1154,f3251]) ).
fof(f4743,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(duplicate_literal_removal,[],[f4736]) ).
fof(f4748,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(duplicate_literal_removal,[],[f4731]) ).
fof(f4749,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(duplicate_literal_removal,[],[f4730]) ).
fof(f4750,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(duplicate_literal_removal,[],[f4729]) ).
fof(f4752,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v4_group_6(sK3,sK1,sK1)
| ~ v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(duplicate_literal_removal,[],[f4727]) ).
fof(f4755,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4743,f186]) ).
fof(f4760,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4748,f188]) ).
fof(f4761,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4749,f188]) ).
fof(f4762,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4750,f188]) ).
fof(f4764,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4752,f1052]) ).
fof(f4767,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4755,f185]) ).
fof(f4772,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4760,f186]) ).
fof(f4773,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4761,f186]) ).
fof(f4774,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4762,f186]) ).
fof(f4776,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4764,f1043]) ).
fof(f4779,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4767,f184]) ).
fof(f4784,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4772,f185]) ).
fof(f4785,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4773,f185]) ).
fof(f4786,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4774,f185]) ).
fof(f4788,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4776,f462]) ).
fof(f4791,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4779,f188]) ).
fof(f4796,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4784,f184]) ).
fof(f4797,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4785,f184]) ).
fof(f4798,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4786,f184]) ).
fof(f4800,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4788,f593]) ).
fof(f4803,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4791,f457]) ).
fof(f4808,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4796,f457]) ).
fof(f4809,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4797,f457]) ).
fof(f4810,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4798,f457]) ).
fof(f4812,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4800,f847]) ).
fof(f4815,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4803,f592]) ).
fof(f4820,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4808,f592]) ).
fof(f4821,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4809,f592]) ).
fof(f4822,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4810,f592]) ).
fof(f4824,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4812,f591]) ).
fof(f4827,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4815,f803]) ).
fof(f4832,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4820,f803]) ).
fof(f4833,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4821,f803]) ).
fof(f4834,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4822,f803]) ).
fof(f4836,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4824,f457]) ).
fof(f4839,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4827,f793]) ).
fof(f4844,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4832,f793]) ).
fof(f4845,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4833,f793]) ).
fof(f4846,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4834,f793]) ).
fof(f4848,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_group_6(sK3,sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4836,f592]) ).
fof(f4851,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4839,f462]) ).
fof(f4856,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4844,f462]) ).
fof(f4857,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4845,f462]) ).
fof(f4858,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4846,f462]) ).
fof(f4860,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4848,f803]) ).
fof(f4863,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4851,f593]) ).
fof(f4868,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4856,f593]) ).
fof(f4869,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4857,f593]) ).
fof(f4870,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4858,f593]) ).
fof(f4872,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4860,f590]) ).
fof(f4875,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4863,f847]) ).
fof(f4880,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4868,f847]) ).
fof(f4881,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4869,f847]) ).
fof(f4882,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4870,f847]) ).
fof(f4884,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4872,f188]) ).
fof(f4887,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ v1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4875,f922]) ).
fof(f4892,plain,
( v1_funct_1(k5_relat_1(sK3,sK2))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4880,f922]) ).
fof(f4893,plain,
( v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4881,f922]) ).
fof(f4894,plain,
( v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4882,f922]) ).
fof(f4896,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4884,f186]) ).
fof(f4902,definition,
( spl28_162
<=> v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl28_162])],[avatar_definition]) ).
fof(f4906,definition,
( spl28_163
<=> v1_funct_1(k5_relat_1(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl28_163])],[avatar_definition]) ).
fof(f4913,definition,
( spl28_165
<=> v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_165])],[avatar_definition]) ).
fof(f4922,plain,
( ~ v1_funct_2(k5_relat_1(sK3,sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ v1_funct_1(k5_relat_1(sK3,sK2))
| ~ v1_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(forward_subsumption_resolution,[],[f4887,f187]) ).
fof(f4929,plain,
( spl28_163
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(avatar_split_clause,[],[f4892,f802,f460,f455,f451,f447,f4906]) ).
fof(f4930,plain,
( spl28_165
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(avatar_split_clause,[],[f4893,f802,f460,f455,f451,f447,f4913]) ).
fof(f4931,plain,
( spl28_162
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(avatar_split_clause,[],[f4894,f802,f460,f455,f451,f447,f4902]) ).
fof(f4932,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ l1_group_1(sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4896,f185]) ).
fof(f4934,definition,
( spl28_168
<=> r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_168])],[avatar_definition]) ).
fof(f4936,plain,
( r2_hidden(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ spl28_168 ),
inference(avatar_component_clause,[],[f4934]) ).
fof(f4938,definition,
( spl28_169
<=> v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl28_169])],[avatar_definition]) ).
fof(f4941,plain,
( spl28_168
| ~ spl28_162
| ~ spl28_163
| ~ spl28_169
| ~ spl28_165
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31 ),
inference(avatar_split_clause,[],[f4922,f802,f460,f455,f451,f447,f4913,f4938,f4906,f4902,f4934]) ).
fof(f4942,plain,
( v4_group_6(k5_relat_1(sK3,sK2),sK1,sK1)
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(forward_subsumption_resolution,[],[f4932,f184]) ).
fof(f4943,plain,
( spl28_169
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41 ),
inference(avatar_split_clause,[],[f4942,f1050,f1041,f802,f460,f455,f451,f447,f4938]) ).
fof(f4972,plain,
( m1_subset_1(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ spl28_168 ),
inference(resolution,[],[f4936,f267]) ).
fof(f9804,plain,
( ~ m1_subset_1(k5_relat_1(sK3,sK2),k1_autgroup(sK1))
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6 ),
inference(superposition,[],[f589,f3024]) ).
fof(f9828,plain,
( $false
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_168 ),
inference(forward_subsumption_resolution,[],[f9804,f4972]) ).
fof(f9829,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_168 ),
inference(avatar_contradiction_clause,[],[f9828]) ).
cnf(s2,plain,
( ~ spl28_3
| spl28_4
| spl28_5 ),
inference(sat_conversion,[],[f458]) ).
cnf(s3,plain,
( ~ spl28_3
| spl28_4
| spl28_6 ),
inference(sat_conversion,[],[f463]) ).
cnf(s6,plain,
spl28_3,
inference(sat_conversion,[],[f564]) ).
cnf(s7,plain,
~ spl28_4,
inference(sat_conversion,[],[f577]) ).
cnf(s9,plain,
( ~ spl28_3
| spl28_4
| spl28_12
| spl28_13 ),
inference(sat_conversion,[],[f628]) ).
cnf(s17,plain,
spl28_31,
inference(sat_conversion,[],[f849]) ).
cnf(s28,plain,
( ~ spl28_3
| ~ spl28_12 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s29,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_6
| spl28_12
| spl28_39 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s30,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_13
| ~ spl28_31
| spl28_41 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s132,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| spl28_163 ),
inference(sat_conversion,[],[f4929]) ).
cnf(s133,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| spl28_165 ),
inference(sat_conversion,[],[f4930]) ).
cnf(s134,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| spl28_162 ),
inference(sat_conversion,[],[f4931]) ).
cnf(s135,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_162
| ~ spl28_163
| ~ spl28_165
| spl28_168
| ~ spl28_169 ),
inference(sat_conversion,[],[f4941]) ).
cnf(s136,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_31
| ~ spl28_39
| ~ spl28_41
| spl28_169 ),
inference(sat_conversion,[],[f4943]) ).
cnf(s172,plain,
( ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_168 ),
inference(sat_conversion,[],[f9829]) ).
cnf(s178,plain,
~ spl28_12,
inference(rat,[],[s28,s6]) ).
cnf(s182,plain,
spl28_13,
inference(rat,[],[s9,s6,s7,s178]) ).
cnf(s184,plain,
spl28_6,
inference(rat,[],[s3,s7,s6]) ).
cnf(s188,plain,
spl28_39,
inference(rat,[],[s29,s178,s6,s7,s184]) ).
cnf(s198,plain,
spl28_5,
inference(rat,[],[s2,s7,s6]) ).
cnf(s199,plain,
~ spl28_168,
inference(rat,[],[s172,s184,s6,s7,s198]) ).
cnf(s200,plain,
spl28_162,
inference(rat,[],[s134,s184,s17,s6,s7,s198]) ).
cnf(s201,plain,
spl28_165,
inference(rat,[],[s133,s184,s17,s6,s7,s198]) ).
cnf(s202,plain,
spl28_163,
inference(rat,[],[s132,s184,s17,s6,s7,s198]) ).
cnf(s207,plain,
spl28_41,
inference(rat,[],[s30,s182,s17,s6,s7,s198]) ).
cnf(s210,plain,
~ spl28_169,
inference(rat,[],[s135,s200,s199,s201,s198,s184,s17,s6,s7,s202]) ).
cnf(s213,plain,
$false,
inference(rat,[],[s136,s198,s184,s188,s17,s6,s7,s210,s207]) ).
fof(f9830,plain,
$false,
inference(avatar_sat_refutation,[],[s213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP621+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:15:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 9.72/2.23 % (3335030)Detected formulas, will run a generic FOF schedule.
% 9.72/2.23 % (3335175)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3727650981:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.72/2.23 % (3335174)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=951080683:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.72/2.23 % (3335177)dis-21_1_sil=8000:lcm=predicate:random_seed=3554968702:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.72/2.23 % (3335170)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=2716016775:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.72/2.23 % (3335173)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3396673105:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.72/2.23 % (3335171)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=1713746098:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.72/2.23 % (3335168)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=4051568140:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.72/2.23 % (3335173)Refutation not found, incomplete strategy
% 9.72/2.23 % (3335173)------------------------------
% 9.72/2.23 % (3335173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335173)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335173)Termination reason: Refutation not found, incomplete strategy
% 9.72/2.23 % (3335173)Time elapsed: 0.001 s
% 9.72/2.23 % (3335173)Peak memory usage: 87 MB
% 9.72/2.23 % (3335174)Refutation not found, incomplete strategy
% 9.72/2.23 % (3335174)------------------------------
% 9.72/2.23 % (3335174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335174)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335174)Termination reason: Refutation not found, incomplete strategy
% 9.72/2.23 % (3335174)Time elapsed: 0.005 s
% 9.72/2.23 % (3335174)Peak memory usage: 88 MB
% 9.72/2.23 % (3335174)Instructions burned: 7 (million)
% 9.72/2.23 % (3335175)Instruction limit reached!
% 9.72/2.23 % (3335175)------------------------------
% 9.72/2.23 % (3335175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335175)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335175)Termination reason: Instruction limit
% 9.72/2.23 % (3335175)Termination phase: Saturation
% 9.72/2.23 % (3335175)Time elapsed: 0.051 s
% 9.72/2.23 % (3335175)Peak memory usage: 90 MB
% 9.72/2.23 % (3335175)Instructions burned: 141 (million)
% 9.72/2.23 % (3335177)Instruction limit reached!
% 9.72/2.23 % (3335177)------------------------------
% 9.72/2.23 % (3335177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335177)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335177)Termination reason: Instruction limit
% 9.72/2.23 % (3335177)Termination phase: Saturation
% 9.72/2.23 % (3335177)Time elapsed: 0.078 s
% 9.72/2.23 % (3335177)Peak memory usage: 90 MB
% 9.72/2.23 % (3335177)Instructions burned: 130 (million)
% 9.72/2.23 % (3335238)lrs+10_1_sil=8000:sp=occurrence:random_seed=2781274688:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.72/2.23 % (3335238)Instruction limit reached!
% 9.72/2.23 % (3335238)------------------------------
% 9.72/2.23 % (3335238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335238)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335238)Termination reason: Instruction limit
% 9.72/2.23 % (3335238)Termination phase: Saturation
% 9.72/2.23 % (3335238)Time elapsed: 0.090 s
% 9.72/2.23 % (3335238)Peak memory usage: 91 MB
% 9.72/2.23 % (3335238)Instructions burned: 286 (million)
% 9.72/2.23 % (3335270)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2980321683:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.72/2.23 % (3335270)Refutation not found, incomplete strategy
% 9.72/2.23 % (3335270)------------------------------
% 9.72/2.23 % (3335270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335270)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335270)Termination reason: Refutation not found, incomplete strategy
% 9.72/2.23 % (3335270)Time elapsed: 0.004 s
% 9.72/2.23 % (3335270)Peak memory usage: 88 MB
% 9.72/2.23 % (3335270)Instructions burned: 5 (million)
% 9.72/2.23 % (3335173)------------------------------
% 9.72/2.23 % (3335173)------------------------------
% 9.72/2.23 % (3335174)------------------------------
% 9.72/2.23 % (3335174)------------------------------
% 9.72/2.23 % (3335335)lrs+1011_1_sil=32000:sp=occurrence:random_seed=596345579:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.72/2.23 % (3335352)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=3470442623:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.72/2.23 % (3335353)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2194675919:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.72/2.23 % (3335353)Refutation not found, incomplete strategy
% 9.72/2.23 % (3335353)------------------------------
% 9.72/2.23 % (3335353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335353)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335353)Termination reason: Refutation not found, incomplete strategy
% 9.72/2.23 % (3335353)Time elapsed: 0.009 s
% 9.72/2.23 % (3335353)Peak memory usage: 88 MB
% 9.72/2.23 % (3335353)Instructions burned: 13 (million)
% 9.72/2.23 % (3335335)Refutation not found, incomplete strategy
% 9.72/2.23 % (3335335)------------------------------
% 9.72/2.23 % (3335335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335335)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335335)Termination reason: Refutation not found, incomplete strategy
% 9.72/2.23 % (3335335)Time elapsed: 0.035 s
% 9.72/2.23 % (3335335)Peak memory usage: 89 MB
% 9.72/2.23 % (3335335)Instructions burned: 57 (million)
% 9.72/2.23 % (3335270)------------------------------
% 9.72/2.23 % (3335270)------------------------------
% 9.72/2.23 % (3335352)Instruction limit reached!
% 9.72/2.23 % (3335352)------------------------------
% 9.72/2.23 % (3335352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.23 % (3335352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.23 % (3335352)CaDiCaL version: 2.1.3
% 9.72/2.23 % (3335352)Termination reason: Instruction limit
% 9.72/2.23 % (3335352)Termination phase: Saturation
% 9.72/2.23 % (3335352)Time elapsed: 0.144 s
% 9.72/2.23 % (3335352)Peak memory usage: 92 MB
% 9.72/2.23 % (3335352)Instructions burned: 250 (million)
% 9.72/2.23 % (3335335)------------------------------
% 9.72/2.23 % (3335335)------------------------------
% 9.72/2.23 % (3335461)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3590334759:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.72/2.24 % (3335353)------------------------------
% 9.72/2.24 % (3335353)------------------------------
% 9.72/2.24 % (3335507)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=999258168:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.72/2.24 % (3335488)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2064586734:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.72/2.24 % (3335507)Instruction limit reached!
% 9.72/2.24 % (3335507)------------------------------
% 9.72/2.24 % (3335507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.24 % (3335507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.24 % (3335507)CaDiCaL version: 2.1.3
% 9.72/2.24 % (3335507)Termination reason: Instruction limit
% 9.72/2.24 % (3335507)Termination phase: Saturation
% 9.72/2.24 % (3335507)Time elapsed: 0.036 s
% 9.72/2.24 % (3335507)Peak memory usage: 89 MB
% 9.72/2.24 % (3335507)Instructions burned: 129 (million)
% 9.72/2.24 % (3335488)Instruction limit reached!
% 9.72/2.24 % (3335488)------------------------------
% 9.72/2.24 % (3335488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.24 % (3335488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.24 % (3335488)CaDiCaL version: 2.1.3
% 9.72/2.24 % (3335488)Termination reason: Instruction limit
% 9.72/2.24 % (3335488)Termination phase: Saturation
% 9.72/2.24 % (3335488)Time elapsed: 0.070 s
% 9.72/2.24 % (3335488)Peak memory usage: 90 MB
% 9.72/2.24 % (3335488)Instructions burned: 114 (million)
% 9.72/2.24 % (3335540)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4153656070:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.72/2.24 % (3335540)Refutation not found, incomplete strategy
% 9.72/2.24 % (3335540)------------------------------
% 9.72/2.24 % (3335540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.24 % (3335540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.24 % (3335540)CaDiCaL version: 2.1.3
% 9.72/2.24 % (3335540)Termination reason: Refutation not found, incomplete strategy
% 9.72/2.24 % (3335540)Time elapsed: 0.002 s
% 9.72/2.24 % (3335540)Peak memory usage: 88 MB
% 9.72/2.24 % (3335540)Instructions burned: 1 (million)
% 9.72/2.24 % (3335577)lrs+10_1_sil=8000:sp=occurrence:random_seed=3656313905:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.72/2.24 % (3335593)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1171359713:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.72/2.24 % (3335593)Refutation not found, incomplete strategy
% 9.72/2.24 % (3335593)------------------------------
% 9.72/2.24 % (3335593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.24 % (3335593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.24 % (3335593)CaDiCaL version: 2.1.3
% 9.72/2.24 % (3335593)Termination reason: Refutation not found, incomplete strategy
% 9.72/2.24 % (3335593)Time elapsed: 0.009 s
% 9.72/2.24 % (3335593)Peak memory usage: 89 MB
% 9.72/2.24 % (3335593)Instructions burned: 14 (million)
% 9.72/2.24 % (3335540)------------------------------
% 9.72/2.24 % (3335540)------------------------------
% 9.72/2.24 % (3335577)First to succeed.
% 9.72/2.24 % (3335577)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3335030"
% 9.72/2.24 % (3335593)------------------------------
% 9.72/2.24 % (3335593)------------------------------
% 9.72/2.24 % (3335577)Refutation found. Thanks to Tanya!
% 9.72/2.24 % SZS status Theorem for theBenchmark
% 9.72/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 10.27/2.43 % (3335577)------------------------------
% 10.27/2.43 % (3335577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.27/2.43 % (3335577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.27/2.43 % (3335577)CaDiCaL version: 2.1.3
% 10.27/2.43 % (3335577)Termination reason: Refutation
% 10.27/2.43 % (3335577)Time elapsed: 0.208 s
% 10.27/2.43 % (3335577)Peak memory usage: 96 MB
% 10.27/2.43 % (3335577)Instructions burned: 700 (million)
% 10.27/2.43 % (3335577)------------------------------
% 10.27/2.43 % (3335577)------------------------------
% 10.27/2.43 % (3335030)Success in time 1.375 s
% 10.27/2.43 % Vampire exiting
%------------------------------------------------------------------------------