%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP621+2 : 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 : n026.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 19.05s 3.83s
% Output : Refutation 22.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 31
% Syntax : Number of formulae : 368 ( 47 unt; 15 def)
% Number of atoms : 2580 ( 63 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 4056 (1844 ~;1957 |; 191 &)
% ( 31 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 12 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-5 aty)
% Number of variables : 365 ( 0 sgn 356 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f331,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f973,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(f1425,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) )
=> ( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(f1426,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(f1870,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(f1874,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f2483,axiom,
! [X0] :
( l1_struct_0(X0)
=> ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_struct_0) ).
fof(f2766,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f3716,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(f3753,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(f3754,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(f3801,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f3810,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X2,X1)
<=> ( v2_funct_1(X2)
& v3_group_6(X2,X0,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f3814,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X1,X0,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f3818,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(f3819,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)],[f3818]) ).
fof(f3927,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) ) ) ) ) ) ),
inference(rectify,[],[f3810]) ).
fof(f4239,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f330]) ).
fof(f4240,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f331]) ).
fof(f4241,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f4240]) ).
fof(f5430,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,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)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(ennf_transformation,[],[f1425]) ).
fof(f5431,plain,
! [X0,X1,X2,X3,X4] :
( ( v1_funct_1(k7_funct_2(X0,X1,X2,X3,X4))
& v1_funct_2(k7_funct_2(X0,X1,X2,X3,X4),X0,X2)
& m2_relset_1(k7_funct_2(X0,X1,X2,X3,X4),X0,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)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(flattening,[],[f5430]) ).
fof(f5432,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,[],[f1426]) ).
fof(f5433,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,[],[f5432]) ).
fof(f5988,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f1870]) ).
fof(f5993,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f1874]) ).
fof(f5994,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,[],[f5993]) ).
fof(f6558,plain,
! [X0] :
( ( v3_struct_0(X0)
<=> v1_xboole_0(u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2483]) ).
fof(f6978,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f2766]) ).
fof(f8416,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,[],[f3716]) ).
fof(f8417,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,[],[f8416]) ).
fof(f8484,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,[],[f3753]) ).
fof(f8485,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,[],[f8484]) ).
fof(f8486,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,[],[f3754]) ).
fof(f8487,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,[],[f8486]) ).
fof(f8566,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3801]) ).
fof(f8567,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,[],[f8566]) ).
fof(f8584,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,[],[f3927]) ).
fof(f8585,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,[],[f8584]) ).
fof(f8590,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3814]) ).
fof(f8591,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,[],[f8590]) ).
fof(f8598,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,[],[f3819]) ).
fof(f8599,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,[],[f8598]) ).
fof(f8853,definition,
! [X0,X1] :
( sP163(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,[sP163])],[predicate_definition_introduction]) ).
fof(f8854,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) )
& sP163(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,[],[f8585,f8853]) ).
fof(f9324,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,[],[f973]) ).
fof(f9843,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,[],[f5994]) ).
fof(f10255,plain,
! [X0] :
( ( ( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
& ( v1_xboole_0(u1_struct_0(X0))
| ~ v3_struct_0(X0) ) )
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f6558]) ).
fof(f10900,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) )
| ~ sP163(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) )
& sP163(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,[],[f8854]) ).
fof(f10901,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) )
| ~ sP163(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) )
& sP163(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,[],[f10900]) ).
fof(f10902,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) )
| ~ sP163(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) )
& sP163(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,[],[f10901]) ).
fof(f10903,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ( ( ~ v1_funct_1(sK1304(X0,X1))
| ~ v1_funct_2(sK1304(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK1304(X0,X1),X0,X0)
| ~ m2_relset_1(sK1304(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK1304(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP163(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) )
& sP163(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,[sK1304]),skolemize(X2,sK1304(X0,X1))],[f10902]) ).
fof(f10904,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,[],[f8591]) ).
fof(f10905,plain,
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1305),u1_struct_0(sK1305),u1_struct_0(sK1305),sK1307,sK1306),u1_struct_0(sK1305),u1_struct_0(sK1305),k1_autgroup(sK1305))
& m2_fraenkel(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305),k1_autgroup(sK1305))
& m2_fraenkel(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305),k1_autgroup(sK1305))
& ~ v3_struct_0(sK1305)
& v1_group_1(sK1305)
& v3_group_1(sK1305)
& v4_group_1(sK1305)
& l1_group_1(sK1305) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1305,sK1306,sK1307]),skolemize(X0,sK1305),skolemize(X1,sK1306),skolemize(X2,sK1307)],[f8599]) ).
fof(f11402,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f4239]) ).
fof(f11403,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f4241]) ).
fof(f12364,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f9324]) ).
fof(f13124,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k7_funct_2(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) ),
inference(cnf_transformation,[],[f5431]) ).
fof(f13125,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)
| k5_relat_1(X3,X4) = k7_funct_2(X0,X1,X2,X3,X4)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f5433]) ).
fof(f14231,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f5988]) ).
fof(f14237,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,[],[f9843]) ).
fof(f14238,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,[],[f9843]) ).
fof(f15522,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f10255]) ).
fof(f16003,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f6978]) ).
fof(f17841,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,[],[f8417]) ).
fof(f17899,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,[],[f8485]) ).
fof(f17900,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,[],[f8485]) ).
fof(f17901,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,[],[f8485]) ).
fof(f17903,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)
| k5_relat_1(X3,X4) = k8_group_6(X0,X1,X2,X3,X4)
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f8487]) ).
fof(f18009,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,[],[f8567]) ).
fof(f18044,plain,
! [X3,X0,X1] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f10903]) ).
fof(f18045,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,[],[f10903]) ).
fof(f18046,plain,
! [X3,X0,X1] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f10903]) ).
fof(f18047,plain,
! [X3,X0,X1] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f10903]) ).
fof(f18052,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ r2_hidden(X1,k1_autgroup(X0))
| ~ v1_funct_1(X1)
| v4_group_6(X1,X0,X0)
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f10904]) ).
fof(f18053,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v4_group_6(X1,X0,X0)
| ~ v1_funct_1(X1)
| r2_hidden(X1,k1_autgroup(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f10904]) ).
fof(f18061,plain,
l1_group_1(sK1305),
inference(cnf_transformation,[],[f10905]) ).
fof(f18062,plain,
v4_group_1(sK1305),
inference(cnf_transformation,[],[f10905]) ).
fof(f18063,plain,
v3_group_1(sK1305),
inference(cnf_transformation,[],[f10905]) ).
fof(f18064,plain,
v1_group_1(sK1305),
inference(cnf_transformation,[],[f10905]) ).
fof(f18065,plain,
~ v3_struct_0(sK1305),
inference(cnf_transformation,[],[f10905]) ).
fof(f18066,plain,
m2_fraenkel(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305),k1_autgroup(sK1305)),
inference(cnf_transformation,[],[f10905]) ).
fof(f18067,plain,
m2_fraenkel(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305),k1_autgroup(sK1305)),
inference(cnf_transformation,[],[f10905]) ).
fof(f18068,plain,
~ m2_fraenkel(k7_funct_2(u1_struct_0(sK1305),u1_struct_0(sK1305),u1_struct_0(sK1305),sK1307,sK1306),u1_struct_0(sK1305),u1_struct_0(sK1305),k1_autgroup(sK1305)),
inference(cnf_transformation,[],[f10905]) ).
fof(f20039,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_1(X3)
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f18047]) ).
fof(f20040,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f18046]) ).
fof(f20041,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,[],[f18045]) ).
fof(f20042,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f18044]) ).
fof(f20044,definition,
sF1308 = u1_struct_0(sK1305),
introduced(definition,[new_symbols(definition,[sF1308])],[function_definition]) ).
fof(f20045,plain,
u1_struct_0(sK1305) = sF1308,
inference(reorient_equations,[],[f20044]) ).
fof(f20046,definition,
sF1309 = k7_funct_2(sF1308,sF1308,sF1308,sK1307,sK1306),
introduced(definition,[new_symbols(definition,[sF1309])],[function_definition]) ).
fof(f20047,plain,
k7_funct_2(sF1308,sF1308,sF1308,sK1307,sK1306) = sF1309,
inference(reorient_equations,[],[f20046]) ).
fof(f20048,definition,
sF1310 = k1_autgroup(sK1305),
introduced(definition,[new_symbols(definition,[sF1310])],[function_definition]) ).
fof(f20049,plain,
k1_autgroup(sK1305) = sF1310,
inference(reorient_equations,[],[f20048]) ).
fof(f20050,plain,
~ m2_fraenkel(sF1309,sF1308,sF1308,sF1310),
inference(definition_folding,[],[f18068,f20049,f20045,f20045,f20047,f20045,f20045,f20045]) ).
fof(f20051,plain,
m2_fraenkel(sK1307,sF1308,sF1308,sF1310),
inference(definition_folding,[],[f18067,f20049,f20045,f20045]) ).
fof(f20052,plain,
m2_fraenkel(sK1306,sF1308,sF1308,sF1310),
inference(definition_folding,[],[f18066,f20049,f20045,f20045]) ).
fof(f22955,plain,
( ~ m1_subset_1(sF1309,sF1310)
| v1_xboole_0(sF1308)
| ~ m1_fraenkel(sF1310,sF1308,sF1308) ),
inference(resolution,[],[f14238,f20050]) ).
fof(f22957,plain,
( m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| v3_struct_0(sK1305)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(superposition,[],[f18009,f20045]) ).
fof(f22960,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_group_6(X0,sK1305,sK1305)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(superposition,[],[f20041,f20049]) ).
fof(f22966,plain,
( m1_subset_1(sK1306,sF1310)
| v1_xboole_0(sF1308)
| ~ m1_fraenkel(sF1310,sF1308,sF1308) ),
inference(resolution,[],[f14237,f20052]) ).
fof(f22967,plain,
( m1_subset_1(sK1307,sF1310)
| v1_xboole_0(sF1308)
| ~ m1_fraenkel(sF1310,sF1308,sF1308) ),
inference(resolution,[],[f14237,f20051]) ).
fof(f22971,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| v1_funct_2(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| v3_struct_0(sK1305)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(superposition,[],[f20040,f20045]) ).
fof(f22974,plain,
( ~ v1_xboole_0(sF1308)
| v3_struct_0(sK1305)
| ~ l1_struct_0(sK1305) ),
inference(superposition,[],[f15522,f20045]) ).
fof(f22978,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| m2_relset_1(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| v3_struct_0(sK1305)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(superposition,[],[f20042,f20045]) ).
fof(f23018,plain,
( m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f22957,f18065]) ).
fof(f23020,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_group_6(X0,sK1305,sK1305)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f22960,f18065]) ).
fof(f23023,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| v1_funct_2(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f22971,f18065]) ).
fof(f23025,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| m2_relset_1(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f22978,f18065]) ).
fof(f23030,plain,
( m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23018,f18064]) ).
fof(f23032,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_group_6(X0,sK1305,sK1305)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23020,f18064]) ).
fof(f23035,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| v1_funct_2(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23023,f18064]) ).
fof(f23037,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| m2_relset_1(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23025,f18064]) ).
fof(f23042,plain,
( m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23030,f18063]) ).
fof(f23044,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_group_6(X0,sK1305,sK1305)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23032,f18063]) ).
fof(f23047,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| v1_funct_2(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23035,f18063]) ).
fof(f23049,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| m2_relset_1(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23037,f18063]) ).
fof(f23054,plain,
( m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23042,f18062]) ).
fof(f23056,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_group_6(X0,sK1305,sK1305)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23044,f18062]) ).
fof(f23059,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| v1_funct_2(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23047,f18062]) ).
fof(f23061,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| m2_relset_1(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23049,f18062]) ).
fof(f23066,plain,
m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308),
inference(forward_subsumption_resolution,[],[f23054,f18061]) ).
fof(f23068,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_group_6(X0,sK1305,sK1305)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305)) ),
inference(forward_subsumption_resolution,[],[f23056,f18061]) ).
fof(f23071,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| v1_funct_2(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23059,f18061]) ).
fof(f23073,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,k1_autgroup(sK1305))
| m2_relset_1(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23061,f18061]) ).
fof(f23078,plain,
m1_fraenkel(sF1310,sF1308,sF1308),
inference(forward_demodulation,[],[f23066,f20049]) ).
fof(f23080,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_group_6(X0,sK1305,sK1305)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305)) ),
inference(forward_demodulation,[],[f23068,f20045]) ).
fof(f23083,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_funct_2(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308) ),
inference(forward_demodulation,[],[f23071,f20049]) ).
fof(f23085,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| m2_relset_1(X0,sF1308,sF1308)
| ~ m1_fraenkel(k1_autgroup(sK1305),sF1308,sF1308) ),
inference(forward_demodulation,[],[f23073,f20049]) ).
fof(f23090,plain,
! [X0] :
( ~ m1_fraenkel(sF1310,sF1308,sF1308)
| ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_group_6(X0,sK1305,sK1305) ),
inference(forward_demodulation,[],[f23080,f20045]) ).
fof(f23093,plain,
! [X0] :
( ~ m1_fraenkel(sF1310,sF1308,sF1308)
| ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_funct_2(X0,sF1308,sF1308) ),
inference(forward_demodulation,[],[f23083,f20049]) ).
fof(f23095,plain,
! [X0] :
( ~ m1_fraenkel(sF1310,sF1308,sF1308)
| ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| m2_relset_1(X0,sF1308,sF1308) ),
inference(forward_demodulation,[],[f23085,f20049]) ).
fof(f23096,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_group_6(X0,sK1305,sK1305) ),
inference(forward_subsumption_resolution,[],[f23090,f23078]) ).
fof(f23099,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_funct_2(X0,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23093,f23078]) ).
fof(f23101,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| m2_relset_1(X0,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23095,f23078]) ).
fof(f23104,plain,
m2_relset_1(sK1306,sF1308,sF1308),
inference(resolution,[],[f23101,f20052]) ).
fof(f23105,plain,
m2_relset_1(sK1307,sF1308,sF1308),
inference(resolution,[],[f23101,f20051]) ).
fof(f23107,plain,
m1_relset_1(sK1307,sF1308,sF1308),
inference(resolution,[],[f23105,f12364]) ).
fof(f23108,plain,
m1_relset_1(sK1306,sF1308,sF1308),
inference(resolution,[],[f23104,f12364]) ).
fof(f23109,plain,
v1_funct_2(sK1306,sF1308,sF1308),
inference(resolution,[],[f23099,f20052]) ).
fof(f23110,plain,
v1_funct_2(sK1307,sF1308,sF1308),
inference(resolution,[],[f23099,f20051]) ).
fof(f23113,plain,
! [X0,X1] :
( v1_xboole_0(sF1308)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,sF1308)
| ~ m1_relset_1(X0,X1,sF1308)
| ~ v1_funct_1(sK1306)
| k5_relat_1(X0,sK1306) = k7_funct_2(X1,sF1308,sF1308,X0,sK1306)
| ~ m1_relset_1(sK1306,sF1308,sF1308) ),
inference(resolution,[],[f23109,f13125]) ).
fof(f23114,plain,
v1_group_6(sK1306,sK1305,sK1305),
inference(resolution,[],[f23096,f20052]) ).
fof(f23115,plain,
v1_group_6(sK1307,sK1305,sK1305),
inference(resolution,[],[f23096,f20051]) ).
fof(f23131,plain,
~ v1_xboole_0(sF1310),
inference(resolution,[],[f14231,f23078]) ).
fof(f23136,plain,
( ~ m1_subset_1(sF1309,sF1310)
| v1_xboole_0(sF1308) ),
inference(forward_subsumption_resolution,[],[f22955,f23078]) ).
fof(f23139,plain,
( m1_subset_1(sK1307,sF1310)
| v1_xboole_0(sF1308) ),
inference(forward_subsumption_resolution,[],[f22967,f23078]) ).
fof(f23140,plain,
( m1_subset_1(sK1306,sF1310)
| v1_xboole_0(sF1308) ),
inference(forward_subsumption_resolution,[],[f22966,f23078]) ).
fof(f23141,plain,
( ~ v1_xboole_0(sF1308)
| ~ l1_struct_0(sK1305) ),
inference(forward_subsumption_resolution,[],[f22974,f18065]) ).
fof(f23145,plain,
! [X0,X1] :
( v1_xboole_0(sF1308)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,sF1308)
| ~ m1_relset_1(X0,X1,sF1308)
| ~ v1_funct_1(sK1306)
| k5_relat_1(X0,sK1306) = k7_funct_2(X1,sF1308,sF1308,X0,sK1306) ),
inference(forward_subsumption_resolution,[],[f23113,f23108]) ).
fof(f23149,definition,
( spl1311_560
<=> v1_xboole_0(sF1308) ),
introduced(definition,[new_symbols(definition,[spl1311_560])],[avatar_definition]) ).
fof(f23150,plain,
( ~ v1_xboole_0(sF1308)
| spl1311_560 ),
inference(avatar_component_clause,[],[f23149]) ).
fof(f23153,definition,
( spl1311_561
<=> m1_subset_1(sF1309,sF1310) ),
introduced(definition,[new_symbols(definition,[spl1311_561])],[avatar_definition]) ).
fof(f23155,plain,
( ~ m1_subset_1(sF1309,sF1310)
| spl1311_561 ),
inference(avatar_component_clause,[],[f23153]) ).
fof(f23156,plain,
( spl1311_560
| ~ spl1311_561 ),
inference(avatar_split_clause,[],[f23136,f23153,f23149]) ).
fof(f23158,definition,
( spl1311_562
<=> v1_funct_1(sK1307) ),
introduced(definition,[new_symbols(definition,[spl1311_562])],[avatar_definition]) ).
fof(f23160,plain,
( v1_funct_1(sK1307)
| ~ spl1311_562 ),
inference(avatar_component_clause,[],[f23158]) ).
fof(f23163,definition,
( spl1311_563
<=> v1_funct_1(sK1306) ),
introduced(definition,[new_symbols(definition,[spl1311_563])],[avatar_definition]) ).
fof(f23165,plain,
( v1_funct_1(sK1306)
| ~ spl1311_563 ),
inference(avatar_component_clause,[],[f23163]) ).
fof(f23168,definition,
( spl1311_564
<=> m1_subset_1(sK1307,sF1310) ),
introduced(definition,[new_symbols(definition,[spl1311_564])],[avatar_definition]) ).
fof(f23170,plain,
( m1_subset_1(sK1307,sF1310)
| ~ spl1311_564 ),
inference(avatar_component_clause,[],[f23168]) ).
fof(f23171,plain,
( spl1311_560
| spl1311_564 ),
inference(avatar_split_clause,[],[f23139,f23168,f23149]) ).
fof(f23173,definition,
( spl1311_565
<=> m1_subset_1(sK1306,sF1310) ),
introduced(definition,[new_symbols(definition,[spl1311_565])],[avatar_definition]) ).
fof(f23175,plain,
( m1_subset_1(sK1306,sF1310)
| ~ spl1311_565 ),
inference(avatar_component_clause,[],[f23173]) ).
fof(f23176,plain,
( spl1311_560
| spl1311_565 ),
inference(avatar_split_clause,[],[f23140,f23173,f23149]) ).
fof(f23178,definition,
( spl1311_566
<=> l1_struct_0(sK1305) ),
introduced(definition,[new_symbols(definition,[spl1311_566])],[avatar_definition]) ).
fof(f23180,plain,
( ~ l1_struct_0(sK1305)
| spl1311_566 ),
inference(avatar_component_clause,[],[f23178]) ).
fof(f23181,plain,
( ~ spl1311_566
| ~ spl1311_560 ),
inference(avatar_split_clause,[],[f23141,f23149,f23178]) ).
fof(f23187,definition,
( spl1311_568
<=> ! [X0,X1] :
( ~ v1_funct_1(X0)
| k5_relat_1(X0,sK1306) = k7_funct_2(X1,sF1308,sF1308,X0,sK1306)
| ~ m1_relset_1(X0,X1,sF1308)
| ~ v1_funct_2(X0,X1,sF1308) ) ),
introduced(definition,[new_symbols(definition,[spl1311_568])],[avatar_definition]) ).
fof(f23188,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,X1,sF1308)
| k5_relat_1(X0,sK1306) = k7_funct_2(X1,sF1308,sF1308,X0,sK1306)
| ~ m1_relset_1(X0,X1,sF1308)
| ~ v1_funct_1(X0) )
| ~ spl1311_568 ),
inference(avatar_component_clause,[],[f23187]) ).
fof(f23189,plain,
( ~ spl1311_563
| spl1311_568
| spl1311_560 ),
inference(avatar_split_clause,[],[f23145,f23149,f23187,f23163]) ).
fof(f23227,plain,
( v1_funct_1(sF1309)
| v1_xboole_0(sF1308)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,sF1308,sF1308)
| ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,sF1308,sF1308) ),
inference(superposition,[],[f13124,f20047]) ).
fof(f23232,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_funct_1(X0)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(superposition,[],[f20039,f20049]) ).
fof(f23234,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_funct_1(X0)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23232,f18065]) ).
fof(f23236,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_funct_1(X0)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23234,f18064]) ).
fof(f23238,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_funct_1(X0)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23236,f18063]) ).
fof(f23240,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_funct_1(X0)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23238,f18062]) ).
fof(f23242,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1305),u1_struct_0(sK1305),sF1310)
| v1_funct_1(X0)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305)) ),
inference(forward_subsumption_resolution,[],[f23240,f18061]) ).
fof(f23244,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_funct_1(X0)
| ~ m1_fraenkel(sF1310,u1_struct_0(sK1305),u1_struct_0(sK1305)) ),
inference(forward_demodulation,[],[f23242,f20045]) ).
fof(f23246,plain,
! [X0] :
( ~ m1_fraenkel(sF1310,sF1308,sF1308)
| ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_funct_1(X0) ),
inference(forward_demodulation,[],[f23244,f20045]) ).
fof(f23248,plain,
! [X0] :
( ~ m2_fraenkel(X0,sF1308,sF1308,sF1310)
| v1_funct_1(X0) ),
inference(forward_subsumption_resolution,[],[f23246,f23078]) ).
fof(f23250,plain,
v1_funct_1(sK1306),
inference(resolution,[],[f23248,f20052]) ).
fof(f23251,plain,
v1_funct_1(sK1307),
inference(resolution,[],[f23248,f20051]) ).
fof(f23253,plain,
spl1311_562,
inference(avatar_split_clause,[],[f23251,f23158]) ).
fof(f23254,plain,
spl1311_563,
inference(avatar_split_clause,[],[f23250,f23163]) ).
fof(f23255,plain,
l1_struct_0(sK1305),
inference(resolution,[],[f16003,f18061]) ).
fof(f23256,plain,
( $false
| spl1311_566 ),
inference(forward_subsumption_resolution,[],[f23255,f23180]) ).
fof(f23257,plain,
spl1311_566,
inference(avatar_contradiction_clause,[],[f23256]) ).
fof(f23259,plain,
( v1_funct_1(sF1309)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,sF1308,sF1308)
| ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| spl1311_560 ),
inference(forward_subsumption_resolution,[],[f23227,f23150]) ).
fof(f23262,plain,
( v1_funct_1(sF1309)
| ~ v1_funct_2(sK1307,sF1308,sF1308)
| ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| spl1311_560
| ~ spl1311_562 ),
inference(forward_subsumption_resolution,[],[f23259,f23160]) ).
fof(f23263,plain,
( v1_funct_1(sF1309)
| ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| spl1311_560
| ~ spl1311_562 ),
inference(forward_subsumption_resolution,[],[f23262,f23110]) ).
fof(f23264,plain,
( v1_funct_1(sF1309)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| spl1311_560
| ~ spl1311_562 ),
inference(forward_subsumption_resolution,[],[f23263,f23107]) ).
fof(f23265,plain,
( v1_funct_1(sF1309)
| ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| spl1311_560
| ~ spl1311_562
| ~ spl1311_563 ),
inference(forward_subsumption_resolution,[],[f23264,f23165]) ).
fof(f23266,plain,
( v1_funct_1(sF1309)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| spl1311_560
| ~ spl1311_562
| ~ spl1311_563 ),
inference(forward_subsumption_resolution,[],[f23265,f23109]) ).
fof(f23267,plain,
( v1_funct_1(sF1309)
| spl1311_560
| ~ spl1311_562
| ~ spl1311_563 ),
inference(forward_subsumption_resolution,[],[f23266,f23108]) ).
fof(f23268,plain,
( r2_hidden(sK1307,sF1310)
| v1_xboole_0(sF1310)
| ~ spl1311_564 ),
inference(resolution,[],[f23170,f11403]) ).
fof(f23269,plain,
( r2_hidden(sK1307,sF1310)
| ~ spl1311_564 ),
inference(forward_subsumption_resolution,[],[f23268,f23131]) ).
fof(f23270,plain,
( r2_hidden(sK1306,sF1310)
| v1_xboole_0(sF1310)
| ~ spl1311_565 ),
inference(resolution,[],[f23175,f11403]) ).
fof(f23271,plain,
( r2_hidden(sK1306,sF1310)
| ~ spl1311_565 ),
inference(forward_subsumption_resolution,[],[f23270,f23131]) ).
fof(f23282,plain,
( k7_funct_2(sF1308,sF1308,sF1308,sK1307,sK1306) = k5_relat_1(sK1307,sK1306)
| ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_1(sK1307)
| ~ spl1311_568 ),
inference(resolution,[],[f23188,f23110]) ).
fof(f23285,plain,
( k7_funct_2(sF1308,sF1308,sF1308,sK1307,sK1306) = k5_relat_1(sK1307,sK1306)
| ~ v1_funct_1(sK1307)
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23282,f23107]) ).
fof(f23287,plain,
( k7_funct_2(sF1308,sF1308,sF1308,sK1307,sK1306) = k5_relat_1(sK1307,sK1306)
| ~ spl1311_562
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23285,f23160]) ).
fof(f23288,plain,
( sF1309 = k5_relat_1(sK1307,sK1306)
| ~ spl1311_562
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23287,f20047]) ).
fof(f23293,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v4_group_6(X0,sK1305,sK1305)
| ~ v1_funct_1(X0)
| r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| v3_struct_0(sK1305)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(superposition,[],[f18053,f20045]) ).
fof(f23294,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v4_group_6(X0,sK1305,sK1305)
| ~ v1_funct_1(X0)
| r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23293,f18065]) ).
fof(f23295,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v4_group_6(X0,sK1305,sK1305)
| ~ v1_funct_1(X0)
| r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23294,f18064]) ).
fof(f23296,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v4_group_6(X0,sK1305,sK1305)
| ~ v1_funct_1(X0)
| r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23295,f18063]) ).
fof(f23297,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v4_group_6(X0,sK1305,sK1305)
| ~ v1_funct_1(X0)
| r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23296,f18062]) ).
fof(f23298,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v4_group_6(X0,sK1305,sK1305)
| ~ v1_funct_1(X0)
| r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23297,f18061]) ).
fof(f23299,plain,
! [X0] :
( ~ v4_group_6(X0,sK1305,sK1305)
| ~ v1_funct_2(X0,sF1308,sF1308)
| r2_hidden(X0,sF1310)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308) ),
inference(forward_demodulation,[],[f23298,f20049]) ).
fof(f23597,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_funct_1(X0)
| v4_group_6(X0,sK1305,sK1305)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| v3_struct_0(sK1305)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(superposition,[],[f18052,f20045]) ).
fof(f23598,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_funct_1(X0)
| v4_group_6(X0,sK1305,sK1305)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| ~ v1_group_1(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23597,f18065]) ).
fof(f23599,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_funct_1(X0)
| v4_group_6(X0,sK1305,sK1305)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23598,f18064]) ).
fof(f23600,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_funct_1(X0)
| v4_group_6(X0,sK1305,sK1305)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23599,f18063]) ).
fof(f23601,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_funct_1(X0)
| v4_group_6(X0,sK1305,sK1305)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308)
| ~ l1_group_1(sK1305) ),
inference(forward_subsumption_resolution,[],[f23600,f18062]) ).
fof(f23602,plain,
! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ r2_hidden(X0,k1_autgroup(sK1305))
| ~ v1_funct_1(X0)
| v4_group_6(X0,sK1305,sK1305)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m2_relset_1(X0,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23601,f18061]) ).
fof(f23603,plain,
! [X0] :
( ~ v1_group_6(X0,sK1305,sK1305)
| ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v1_funct_1(X0)
| v4_group_6(X0,sK1305,sK1305)
| ~ r2_hidden(X0,sF1310)
| ~ m2_relset_1(X0,sF1308,sF1308) ),
inference(forward_demodulation,[],[f23602,f20049]) ).
fof(f23607,plain,
( ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ v1_funct_1(sK1306)
| v4_group_6(sK1306,sK1305,sK1305)
| ~ r2_hidden(sK1306,sF1310)
| ~ m2_relset_1(sK1306,sF1308,sF1308) ),
inference(resolution,[],[f23603,f23114]) ).
fof(f23608,plain,
( ~ v1_funct_2(sK1307,sF1308,sF1308)
| ~ v1_funct_1(sK1307)
| v4_group_6(sK1307,sK1305,sK1305)
| ~ r2_hidden(sK1307,sF1310)
| ~ m2_relset_1(sK1307,sF1308,sF1308) ),
inference(resolution,[],[f23603,f23115]) ).
fof(f23612,plain,
( ~ v1_funct_1(sK1307)
| v4_group_6(sK1307,sK1305,sK1305)
| ~ r2_hidden(sK1307,sF1310)
| ~ m2_relset_1(sK1307,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23608,f23110]) ).
fof(f23613,plain,
( ~ v1_funct_1(sK1306)
| v4_group_6(sK1306,sK1305,sK1305)
| ~ r2_hidden(sK1306,sF1310)
| ~ m2_relset_1(sK1306,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23607,f23109]) ).
fof(f23618,plain,
( v4_group_6(sK1307,sK1305,sK1305)
| ~ r2_hidden(sK1307,sF1310)
| ~ m2_relset_1(sK1307,sF1308,sF1308)
| ~ spl1311_562 ),
inference(forward_subsumption_resolution,[],[f23612,f23160]) ).
fof(f23619,plain,
( v4_group_6(sK1306,sK1305,sK1305)
| ~ r2_hidden(sK1306,sF1310)
| ~ m2_relset_1(sK1306,sF1308,sF1308)
| ~ spl1311_563 ),
inference(forward_subsumption_resolution,[],[f23613,f23165]) ).
fof(f23622,plain,
( v4_group_6(sK1307,sK1305,sK1305)
| ~ m2_relset_1(sK1307,sF1308,sF1308)
| ~ spl1311_562
| ~ spl1311_564 ),
inference(forward_subsumption_resolution,[],[f23618,f23269]) ).
fof(f23623,plain,
( v4_group_6(sK1306,sK1305,sK1305)
| ~ m2_relset_1(sK1306,sF1308,sF1308)
| ~ spl1311_563
| ~ spl1311_565 ),
inference(forward_subsumption_resolution,[],[f23619,f23271]) ).
fof(f23650,plain,
( v4_group_6(sK1307,sK1305,sK1305)
| ~ spl1311_562
| ~ spl1311_564 ),
inference(forward_subsumption_resolution,[],[f23622,f23105]) ).
fof(f23651,plain,
( v4_group_6(sK1306,sK1305,sK1305)
| ~ spl1311_563
| ~ spl1311_565 ),
inference(forward_subsumption_resolution,[],[f23623,f23104]) ).
fof(f23659,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,sF1308,u1_struct_0(X1))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),sF1308)
| ~ v1_group_6(X3,X2,sK1305)
| ~ m1_relset_1(X3,u1_struct_0(X2),sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X3,X0) = k8_group_6(X2,sK1305,X1,X3,X0)
| ~ v1_group_6(X0,sK1305,X1)
| ~ m1_relset_1(X0,sF1308,u1_struct_0(X1)) ),
inference(superposition,[],[f17903,f20045]) ).
fof(f23662,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,sF1308,u1_struct_0(X1))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),sF1308)
| ~ v1_group_6(X3,X2,sK1305)
| ~ m1_relset_1(X3,u1_struct_0(X2),sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X3,X0) = k8_group_6(X2,sK1305,X1,X3,X0)
| ~ v1_group_6(X0,sK1305,X1)
| ~ m1_relset_1(X0,sF1308,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f23659,f18065]) ).
fof(f23664,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,sF1308,u1_struct_0(X1))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),sF1308)
| ~ v1_group_6(X3,X2,sK1305)
| ~ m1_relset_1(X3,u1_struct_0(X2),sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X3,X0) = k8_group_6(X2,sK1305,X1,X3,X0)
| ~ v1_group_6(X0,sK1305,X1)
| ~ m1_relset_1(X0,sF1308,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f23662,f18063]) ).
fof(f23666,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,sF1308,u1_struct_0(X1))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ l1_group_1(sK1305)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),sF1308)
| ~ v1_group_6(X3,X2,sK1305)
| ~ m1_relset_1(X3,u1_struct_0(X2),sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X3,X0) = k8_group_6(X2,sK1305,X1,X3,X0)
| ~ v1_group_6(X0,sK1305,X1)
| ~ m1_relset_1(X0,sF1308,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f23664,f18062]) ).
fof(f23668,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X3,u1_struct_0(X2),sF1308)
| 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)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X0,sF1308,u1_struct_0(X1))
| ~ v1_group_6(X3,X2,sK1305)
| ~ m1_relset_1(X3,u1_struct_0(X2),sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X3,X0) = k8_group_6(X2,sK1305,X1,X3,X0)
| ~ v1_group_6(X0,sK1305,X1)
| ~ m1_relset_1(X0,sF1308,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f23666,f18061]) ).
fof(f23669,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,sF1308,u1_struct_0(X1))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308)
| ~ v1_funct_1(X2)
| k5_relat_1(X0,X2) = k8_group_6(sK1305,sK1305,X1,X0,X2)
| ~ v1_group_6(X2,sK1305,X1)
| ~ m1_relset_1(X2,sF1308,u1_struct_0(X1)) ),
inference(superposition,[],[f23668,f20045]) ).
fof(f23670,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,sF1308,u1_struct_0(X1))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308)
| ~ v1_funct_1(X2)
| k5_relat_1(X0,X2) = k8_group_6(sK1305,sK1305,X1,X0,X2)
| ~ v1_group_6(X2,sK1305,X1)
| ~ m1_relset_1(X2,sF1308,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f23669,f18065]) ).
fof(f23671,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,sF1308,u1_struct_0(X1))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308)
| ~ v1_funct_1(X2)
| k5_relat_1(X0,X2) = k8_group_6(sK1305,sK1305,X1,X0,X2)
| ~ v1_group_6(X2,sK1305,X1)
| ~ m1_relset_1(X2,sF1308,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f23670,f18063]) ).
fof(f23672,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ l1_group_1(sK1305)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X2,sF1308,u1_struct_0(X1))
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308)
| ~ v1_funct_1(X2)
| k5_relat_1(X0,X2) = k8_group_6(sK1305,sK1305,X1,X0,X2)
| ~ v1_group_6(X2,sK1305,X1)
| ~ m1_relset_1(X2,sF1308,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f23671,f18062]) ).
fof(f23673,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,sF1308,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308)
| ~ v1_funct_1(X2)
| k5_relat_1(X0,X2) = k8_group_6(sK1305,sK1305,X1,X0,X2)
| ~ v1_group_6(X2,sK1305,X1)
| ~ m1_relset_1(X2,sF1308,u1_struct_0(X1)) ),
inference(forward_subsumption_resolution,[],[f23672,f18061]) ).
fof(f23684,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF1308,sF1308)
| ~ v1_group_6(X1,sK1305,sK1305)
| ~ m1_relset_1(X1,sF1308,sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X1,X0) = k8_group_6(sK1305,sK1305,sK1305,X1,X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308) ),
inference(superposition,[],[f23673,f20045]) ).
fof(f23685,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF1308,sF1308)
| ~ v1_group_6(X1,sK1305,sK1305)
| ~ m1_relset_1(X1,sF1308,sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X1,X0) = k8_group_6(sK1305,sK1305,sK1305,X1,X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23684,f18065]) ).
fof(f23686,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF1308,sF1308)
| ~ v1_group_6(X1,sK1305,sK1305)
| ~ m1_relset_1(X1,sF1308,sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X1,X0) = k8_group_6(sK1305,sK1305,sK1305,X1,X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23685,f18063]) ).
fof(f23687,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF1308,sF1308)
| ~ v1_group_6(X1,sK1305,sK1305)
| ~ m1_relset_1(X1,sF1308,sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X1,X0) = k8_group_6(sK1305,sK1305,sK1305,X1,X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23686,f18062]) ).
fof(f23688,plain,
! [X0,X1] :
( ~ v1_group_6(X1,sK1305,sK1305)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,sF1308,sF1308)
| ~ v1_funct_2(X0,sF1308,sF1308)
| ~ m1_relset_1(X1,sF1308,sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(X1,X0) = k8_group_6(sK1305,sK1305,sK1305,X1,X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308) ),
inference(forward_subsumption_resolution,[],[f23687,f18061]) ).
fof(f23694,plain,
! [X0] :
( ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,sF1308,sF1308)
| ~ v1_funct_2(X0,sF1308,sF1308)
| ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(sK1307,X0) = k8_group_6(sK1305,sK1305,sK1305,sK1307,X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308) ),
inference(resolution,[],[f23688,f23115]) ).
fof(f23698,plain,
( ! [X0] :
( ~ v1_funct_2(sK1307,sF1308,sF1308)
| ~ v1_funct_2(X0,sF1308,sF1308)
| ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(sK1307,X0) = k8_group_6(sK1305,sK1305,sK1305,sK1307,X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308) )
| ~ spl1311_562 ),
inference(forward_subsumption_resolution,[],[f23694,f23160]) ).
fof(f23704,plain,
( ! [X0] :
( ~ v1_funct_2(X0,sF1308,sF1308)
| ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_1(X0)
| k5_relat_1(sK1307,X0) = k8_group_6(sK1305,sK1305,sK1305,sK1307,X0)
| ~ v1_group_6(X0,sK1305,sK1305)
| ~ m1_relset_1(X0,sF1308,sF1308) )
| ~ spl1311_562 ),
inference(forward_subsumption_resolution,[],[f23698,f23110]) ).
fof(f23715,plain,
( ! [X0] :
( ~ v1_group_6(X0,sK1305,sK1305)
| ~ v1_funct_1(X0)
| k5_relat_1(sK1307,X0) = k8_group_6(sK1305,sK1305,sK1305,sK1307,X0)
| ~ v1_funct_2(X0,sF1308,sF1308)
| ~ m1_relset_1(X0,sF1308,sF1308) )
| ~ spl1311_562 ),
inference(forward_subsumption_resolution,[],[f23704,f23107]) ).
fof(f23728,plain,
( ~ v1_funct_1(sK1306)
| k5_relat_1(sK1307,sK1306) = k8_group_6(sK1305,sK1305,sK1305,sK1307,sK1306)
| ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| ~ spl1311_562 ),
inference(resolution,[],[f23715,f23114]) ).
fof(f23734,plain,
( k5_relat_1(sK1307,sK1306) = k8_group_6(sK1305,sK1305,sK1305,sK1307,sK1306)
| ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| ~ spl1311_562
| ~ spl1311_563 ),
inference(forward_subsumption_resolution,[],[f23728,f23165]) ).
fof(f23739,plain,
( k5_relat_1(sK1307,sK1306) = k8_group_6(sK1305,sK1305,sK1305,sK1307,sK1306)
| ~ m1_relset_1(sK1306,sF1308,sF1308)
| ~ spl1311_562
| ~ spl1311_563 ),
inference(forward_subsumption_resolution,[],[f23734,f23109]) ).
fof(f23742,plain,
( k5_relat_1(sK1307,sK1306) = k8_group_6(sK1305,sK1305,sK1305,sK1307,sK1306)
| ~ spl1311_562
| ~ spl1311_563 ),
inference(forward_subsumption_resolution,[],[f23739,f23108]) ).
fof(f23744,plain,
( sF1309 = k8_group_6(sK1305,sK1305,sK1305,sK1307,sK1306)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23742,f23288]) ).
fof(f23749,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(superposition,[],[f17900,f23744]) ).
fof(f23750,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v4_group_6(sK1307,sK1305,sK1305)
| ~ v4_group_6(sK1306,sK1305,sK1305)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(superposition,[],[f17841,f23744]) ).
fof(f23751,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v4_group_6(sK1307,sK1305,sK1305)
| ~ v4_group_6(sK1306,sK1305,sK1305)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(duplicate_literal_removal,[],[f23750]) ).
fof(f23752,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(duplicate_literal_removal,[],[f23749]) ).
fof(f23753,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v4_group_6(sK1306,sK1305,sK1305)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23751,f23650]) ).
fof(f23754,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23752,f18065]) ).
fof(f23755,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23753,f23651]) ).
fof(f23756,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23754,f18063]) ).
fof(f23757,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23755,f23165]) ).
fof(f23758,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23756,f18062]) ).
fof(f23759,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23757,f23114]) ).
fof(f23760,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23758,f18061]) ).
fof(f23761,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23759,f23160]) ).
fof(f23762,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23760,f23160]) ).
fof(f23763,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23761,f23115]) ).
fof(f23764,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23762,f23115]) ).
fof(f23765,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23763,f18065]) ).
fof(f23766,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23764,f23165]) ).
fof(f23767,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23765,f18063]) ).
fof(f23768,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23766,f23114]) ).
fof(f23769,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ l1_group_1(sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23767,f18062]) ).
fof(f23770,plain,
( ~ v1_funct_2(sK1307,sF1308,sF1308)
| v1_group_6(sF1309,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23768,f20045]) ).
fof(f23771,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23769,f18061]) ).
fof(f23772,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23770,f23110]) ).
fof(f23773,plain,
( ~ v1_funct_2(sK1306,sF1308,sF1308)
| v4_group_6(sF1309,sK1305,sK1305)
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23771,f20045]) ).
fof(f23774,plain,
( ~ m1_relset_1(sK1307,sF1308,sF1308)
| v1_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23772,f20045]) ).
fof(f23775,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ m2_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23773,f23109]) ).
fof(f23776,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23774,f23107]) ).
fof(f23777,plain,
( ~ m2_relset_1(sK1306,sF1308,sF1308)
| v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23775,f20045]) ).
fof(f23778,plain,
( ~ v1_funct_2(sK1306,sF1308,sF1308)
| v1_group_6(sF1309,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23776,f20045]) ).
fof(f23779,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23777,f23104]) ).
fof(f23780,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23778,f23109]) ).
fof(f23781,plain,
( ~ v1_funct_2(sK1307,sF1308,sF1308)
| v4_group_6(sF1309,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23779,f20045]) ).
fof(f23782,plain,
( ~ m1_relset_1(sK1306,sF1308,sF1308)
| v1_group_6(sF1309,sK1305,sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23780,f20045]) ).
fof(f23783,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ m2_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23781,f23110]) ).
fof(f23784,plain,
( v1_group_6(sF1309,sK1305,sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23782,f23108]) ).
fof(f23785,plain,
( ~ m2_relset_1(sK1307,sF1308,sF1308)
| v4_group_6(sF1309,sK1305,sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f23783,f20045]) ).
fof(f23786,plain,
( v4_group_6(sF1309,sK1305,sK1305)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23785,f23105]) ).
fof(f23787,plain,
( ~ v1_funct_2(sF1309,sF1308,sF1308)
| r2_hidden(sF1309,sF1310)
| ~ v1_funct_1(sF1309)
| ~ v1_group_6(sF1309,sK1305,sK1305)
| ~ m2_relset_1(sF1309,sF1308,sF1308)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(resolution,[],[f23786,f23299]) ).
fof(f23788,plain,
( ~ v1_funct_2(sF1309,sF1308,sF1308)
| r2_hidden(sF1309,sF1310)
| ~ v1_group_6(sF1309,sK1305,sK1305)
| ~ m2_relset_1(sF1309,sF1308,sF1308)
| spl1311_560
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23787,f23267]) ).
fof(f23789,plain,
( ~ v1_funct_2(sF1309,sF1308,sF1308)
| r2_hidden(sF1309,sF1310)
| ~ m2_relset_1(sF1309,sF1308,sF1308)
| spl1311_560
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f23788,f23784]) ).
fof(f23791,definition,
( spl1311_579
<=> m2_relset_1(sF1309,sF1308,sF1308) ),
introduced(definition,[new_symbols(definition,[spl1311_579])],[avatar_definition]) ).
fof(f23793,plain,
( ~ m2_relset_1(sF1309,sF1308,sF1308)
| spl1311_579 ),
inference(avatar_component_clause,[],[f23791]) ).
fof(f23795,definition,
( spl1311_580
<=> r2_hidden(sF1309,sF1310) ),
introduced(definition,[new_symbols(definition,[spl1311_580])],[avatar_definition]) ).
fof(f23797,plain,
( r2_hidden(sF1309,sF1310)
| ~ spl1311_580 ),
inference(avatar_component_clause,[],[f23795]) ).
fof(f23799,definition,
( spl1311_581
<=> v1_funct_2(sF1309,sF1308,sF1308) ),
introduced(definition,[new_symbols(definition,[spl1311_581])],[avatar_definition]) ).
fof(f23801,plain,
( ~ v1_funct_2(sF1309,sF1308,sF1308)
| spl1311_581 ),
inference(avatar_component_clause,[],[f23799]) ).
fof(f23802,plain,
( ~ spl1311_579
| spl1311_580
| ~ spl1311_581
| spl1311_560
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568 ),
inference(avatar_split_clause,[],[f23789,f23187,f23173,f23168,f23163,f23158,f23149,f23799,f23795,f23791]) ).
fof(f25712,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(superposition,[],[f17901,f23744]) ).
fof(f25745,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(duplicate_literal_removal,[],[f25712]) ).
fof(f25767,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f25745,f18065]) ).
fof(f25788,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f25767,f18063]) ).
fof(f25808,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f25788,f18062]) ).
fof(f25826,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f25808,f18061]) ).
fof(f25842,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f25826,f23160]) ).
fof(f25858,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f25842,f23115]) ).
fof(f25874,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f25858,f23165]) ).
fof(f25890,plain,
( v1_funct_2(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f25874,f23114]) ).
fof(f25906,plain,
( v1_funct_2(sF1309,sF1308,sF1308)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f25890,f20045]) ).
fof(f25922,plain,
( ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_subsumption_resolution,[],[f25906,f23801]) ).
fof(f25938,plain,
( ~ v1_funct_2(sK1307,sF1308,sF1308)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_demodulation,[],[f25922,f20045]) ).
fof(f25954,plain,
( ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_subsumption_resolution,[],[f25938,f23110]) ).
fof(f25966,plain,
( ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_demodulation,[],[f25954,f20045]) ).
fof(f25978,plain,
( ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_subsumption_resolution,[],[f25966,f23107]) ).
fof(f25990,plain,
( ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_demodulation,[],[f25978,f20045]) ).
fof(f26002,plain,
( ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_subsumption_resolution,[],[f25990,f23109]) ).
fof(f26014,plain,
( ~ m1_relset_1(sK1306,sF1308,sF1308)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_demodulation,[],[f26002,f20045]) ).
fof(f26033,plain,
( $false
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(forward_subsumption_resolution,[],[f26014,f23108]) ).
fof(f26034,plain,
( ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(avatar_contradiction_clause,[],[f26033]) ).
fof(f26609,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(superposition,[],[f17899,f23744]) ).
fof(f26642,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| v3_struct_0(sK1305)
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(duplicate_literal_removal,[],[f26609]) ).
fof(f26660,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v3_group_1(sK1305)
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f26642,f18065]) ).
fof(f26678,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v4_group_1(sK1305)
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f26660,f18063]) ).
fof(f26696,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ l1_group_1(sK1305)
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f26678,f18062]) ).
fof(f26714,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1307)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f26696,f18061]) ).
fof(f26730,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1307,sK1305,sK1305)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f26714,f23160]) ).
fof(f26746,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_1(sK1306)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f26730,f23115]) ).
fof(f26762,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_group_6(sK1306,sK1305,sK1305)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f26746,f23165]) ).
fof(f26778,plain,
( m2_relset_1(sF1309,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_subsumption_resolution,[],[f26762,f23114]) ).
fof(f26794,plain,
( m2_relset_1(sF1309,sF1308,sF1308)
| ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568 ),
inference(forward_demodulation,[],[f26778,f20045]) ).
fof(f26810,plain,
( ~ v1_funct_2(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_subsumption_resolution,[],[f26794,f23793]) ).
fof(f26826,plain,
( ~ v1_funct_2(sK1307,sF1308,sF1308)
| ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_demodulation,[],[f26810,f20045]) ).
fof(f26846,plain,
( ~ m1_relset_1(sK1307,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_subsumption_resolution,[],[f26826,f23110]) ).
fof(f26858,plain,
( ~ m1_relset_1(sK1307,sF1308,sF1308)
| ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_demodulation,[],[f26846,f20045]) ).
fof(f26870,plain,
( ~ v1_funct_2(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_subsumption_resolution,[],[f26858,f23107]) ).
fof(f26882,plain,
( ~ v1_funct_2(sK1306,sF1308,sF1308)
| ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_demodulation,[],[f26870,f20045]) ).
fof(f26894,plain,
( ~ m1_relset_1(sK1306,u1_struct_0(sK1305),u1_struct_0(sK1305))
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_subsumption_resolution,[],[f26882,f23109]) ).
fof(f26906,plain,
( ~ m1_relset_1(sK1306,sF1308,sF1308)
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_demodulation,[],[f26894,f20045]) ).
fof(f26929,plain,
( $false
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(forward_subsumption_resolution,[],[f26906,f23108]) ).
fof(f26930,plain,
( ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(avatar_contradiction_clause,[],[f26929]) ).
fof(f26932,plain,
( m1_subset_1(sF1309,sF1310)
| ~ spl1311_580 ),
inference(resolution,[],[f23797,f11402]) ).
fof(f26933,plain,
( $false
| spl1311_561
| ~ spl1311_580 ),
inference(forward_subsumption_resolution,[],[f26932,f23155]) ).
fof(f26934,plain,
( spl1311_561
| ~ spl1311_580 ),
inference(avatar_contradiction_clause,[],[f26933]) ).
cnf(s483,plain,
( spl1311_560
| ~ spl1311_561 ),
inference(sat_conversion,[],[f23156]) ).
cnf(s486,plain,
( spl1311_560
| spl1311_564 ),
inference(sat_conversion,[],[f23171]) ).
cnf(s487,plain,
( spl1311_560
| spl1311_565 ),
inference(sat_conversion,[],[f23176]) ).
cnf(s488,plain,
( ~ spl1311_560
| ~ spl1311_566 ),
inference(sat_conversion,[],[f23181]) ).
cnf(s490,plain,
( spl1311_560
| ~ spl1311_563
| spl1311_568 ),
inference(sat_conversion,[],[f23189]) ).
cnf(s493,plain,
spl1311_562,
inference(sat_conversion,[],[f23253]) ).
cnf(s494,plain,
spl1311_563,
inference(sat_conversion,[],[f23254]) ).
cnf(s495,plain,
spl1311_566,
inference(sat_conversion,[],[f23257]) ).
cnf(s499,plain,
( spl1311_560
| ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_564
| ~ spl1311_565
| ~ spl1311_568
| ~ spl1311_579
| spl1311_580
| ~ spl1311_581 ),
inference(sat_conversion,[],[f23802]) ).
cnf(s593,plain,
( ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_581 ),
inference(sat_conversion,[],[f26034]) ).
cnf(s613,plain,
( ~ spl1311_562
| ~ spl1311_563
| ~ spl1311_568
| spl1311_579 ),
inference(sat_conversion,[],[f26930]) ).
cnf(s614,plain,
( spl1311_561
| ~ spl1311_580 ),
inference(sat_conversion,[],[f26934]) ).
cnf(s633,plain,
( spl1311_560
| spl1311_568 ),
inference(rat,[],[s490,s494]) ).
cnf(s635,plain,
~ spl1311_560,
inference(rat,[],[s488,s495]) ).
cnf(s644,plain,
spl1311_568,
inference(rat,[],[s633,s635]) ).
cnf(s672,plain,
spl1311_579,
inference(rat,[],[s613,s493,s494,s644]) ).
cnf(s673,plain,
spl1311_581,
inference(rat,[],[s593,s493,s494,s644]) ).
cnf(s674,plain,
spl1311_565,
inference(rat,[],[s487,s635]) ).
cnf(s680,plain,
spl1311_564,
inference(rat,[],[s486,s635]) ).
cnf(s687,plain,
spl1311_580,
inference(rat,[],[s499,s673,s674,s672,s644,s635,s493,s494,s680]) ).
cnf(s688,plain,
spl1311_561,
inference(rat,[],[s614,s687]) ).
cnf(s689,plain,
$false,
inference(rat,[],[s483,s688,s635]) ).
fof(f26935,plain,
$false,
inference(avatar_sat_refutation,[],[s689]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP621+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 % Computer : n026.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 10:11:12 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 10.76/2.26 % (2604694)Detected formulas, will run a generic FOF schedule.
% 10.76/2.26 % (2604704)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3016355234:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.76/2.26 % (2604699)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=2801280370:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.76/2.26 % (2604705)dis-21_1_sil=8000:lcm=predicate:random_seed=4033524513: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)
% 10.76/2.26 % (2604700)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=1561658458:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.76/2.26 % (2604703)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1548367911:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.76/2.26 % (2604702)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3290356532:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.76/2.26 % (2604701)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=1710032301:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.76/2.26 % (2604702)Refutation not found, incomplete strategy
% 10.76/2.26 % (2604702)------------------------------
% 10.76/2.26 % (2604702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.26 % (2604702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.26 % (2604702)CaDiCaL version: 2.1.3
% 10.76/2.26 % (2604702)Termination reason: Refutation not found, incomplete strategy
% 10.76/2.26 % (2604702)Time elapsed: 0.019 s
% 10.76/2.26 % (2604702)Peak memory usage: 93 MB
% 10.76/2.26 % (2604702)Instructions burned: 25 (million)
% 10.76/2.26 % (2604704)Instruction limit reached!
% 10.76/2.26 % (2604704)------------------------------
% 10.76/2.26 % (2604704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.26 % (2604704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.26 % (2604704)CaDiCaL version: 2.1.3
% 10.76/2.26 % (2604704)Termination reason: Instruction limit
% 10.76/2.26 % (2604704)Termination phase: Preprocessing 3
% 10.76/2.26 % (2604704)Time elapsed: 0.048 s
% 10.76/2.26 % (2604704)Peak memory usage: 94 MB
% 10.76/2.26 % (2604704)Instructions burned: 142 (million)
% 10.76/2.26 % (2604703)Instruction limit reached!
% 10.76/2.26 % (2604703)------------------------------
% 10.76/2.26 % (2604703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.26 % (2604703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.26 % (2604703)CaDiCaL version: 2.1.3
% 10.76/2.26 % (2604703)Termination reason: Instruction limit
% 10.76/2.26 % (2604703)Termination phase: Saturation
% 10.76/2.26 % (2604703)Time elapsed: 0.073 s
% 10.76/2.26 % (2604703)Peak memory usage: 94 MB
% 10.76/2.26 % (2604703)Instructions burned: 120 (million)
% 10.76/2.26 % (2604705)Instruction limit reached!
% 10.76/2.26 % (2604705)------------------------------
% 10.76/2.26 % (2604705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.26 % (2604705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.26 % (2604705)CaDiCaL version: 2.1.3
% 10.76/2.26 % (2604705)Termination reason: Instruction limit
% 10.76/2.26 % (2604705)Termination phase: Clausification
% 10.76/2.26 % (2604705)Time elapsed: 0.091 s
% 10.76/2.26 % (2604705)Peak memory usage: 94 MB
% 10.76/2.26 % (2604705)Instructions burned: 129 (million)
% 10.76/2.26 % (2604713)lrs+10_1_sil=8000:sp=occurrence:random_seed=4215980873:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.76/2.26 % (2604714)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1914370821:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.76/2.26 % (2604715)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3959030962:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.76/2.26 % (2604713)Instruction limit reached!
% 10.76/2.26 % (2604713)------------------------------
% 10.76/2.26 % (2604713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.26 % (2604713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.98 % (2604713)CaDiCaL version: 2.1.3
% 14.87/2.98 % (2604713)Termination reason: Instruction limit
% 14.87/2.98 % (2604713)Termination phase: Saturation
% 14.87/2.98 % (2604713)Time elapsed: 0.101 s
% 14.87/2.98 % (2604713)Peak memory usage: 97 MB
% 14.87/2.98 % (2604713)Instructions burned: 285 (million)
% 14.87/2.98 % (2604715)Refutation not found, incomplete strategy
% 14.87/2.98 % (2604715)------------------------------
% 14.87/2.98 % (2604715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/2.98 % (2604715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.98 % (2604715)CaDiCaL version: 2.1.3
% 14.87/2.98 % (2604715)Termination reason: Refutation not found, incomplete strategy
% 14.87/2.98 % (2604715)Time elapsed: 0.027 s
% 14.87/2.98 % (2604715)Peak memory usage: 93 MB
% 14.87/2.98 % (2604715)Instructions burned: 38 (million)
% 14.87/2.98 % (2604702)------------------------------
% 14.87/2.98 % (2604702)------------------------------
% 14.87/2.98 % (2604714)Instruction limit reached!
% 14.87/2.98 % (2604714)------------------------------
% 14.87/2.98 % (2604714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/2.98 % (2604714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.98 % (2604714)CaDiCaL version: 2.1.3
% 14.87/2.98 % (2604714)Termination reason: Instruction limit
% 14.87/2.98 % (2604714)Termination phase: Saturation
% 14.87/2.98 % (2604714)Time elapsed: 0.077 s
% 14.87/2.98 % (2604714)Peak memory usage: 93 MB
% 14.87/2.98 % (2604714)Instructions burned: 157 (million)
% 14.87/2.98 % (2604719)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=1543296160:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.87/2.98 % (2604719)Instruction limit reached!
% 14.87/2.98 % (2604719)------------------------------
% 14.87/2.98 % (2604719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/2.98 % (2604719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.98 % (2604719)CaDiCaL version: 2.1.3
% 14.87/2.98 % (2604719)Termination reason: Instruction limit
% 14.87/2.98 % (2604719)Termination phase: Property scanning
% 14.87/2.98 % (2604719)Time elapsed: 0.080 s
% 14.87/2.98 % (2604719)Peak memory usage: 97 MB
% 14.87/2.98 % (2604719)Instructions burned: 249 (million)
% 14.87/2.98 % (2604720)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2650548227:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 14.87/2.98 % (2604721)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3965566145:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 14.87/2.98 % (2604724)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1640178873:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 14.87/2.98 % (2604715)------------------------------
% 14.87/2.98 % (2604715)------------------------------
% 14.87/2.98 % (2604724)Instruction limit reached!
% 14.87/2.98 % (2604724)------------------------------
% 14.87/2.98 % (2604724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/2.98 % (2604724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.98 % (2604724)CaDiCaL version: 2.1.3
% 14.87/2.98 % (2604724)Termination reason: Instruction limit
% 14.87/2.98 % (2604724)Termination phase: Property scanning
% 14.87/2.98 % (2604724)Time elapsed: 0.036 s
% 14.87/2.98 % (2604724)Peak memory usage: 93 MB
% 14.87/2.98 % (2604724)Instructions burned: 118 (million)
% 14.87/2.98 % (2604720)Instruction limit reached!
% 14.87/2.98 % (2604720)------------------------------
% 14.87/2.98 % (2604720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/2.98 % (2604720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.98 % (2604720)CaDiCaL version: 2.1.3
% 14.87/2.98 % (2604720)Termination reason: Instruction limit
% 14.87/2.98 % (2604720)Termination phase: Saturation
% 14.87/2.98 % (2604720)Time elapsed: 0.177 s
% 14.87/2.98 % (2604720)Peak memory usage: 97 MB
% 14.87/2.98 % (2604720)Instructions burned: 295 (million)
% 14.87/2.98 % (2604728)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=321740995:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 14.87/2.98 % (2604727)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=807080870:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 14.87/2.98 % (2604728)Instruction limit reached!
% 19.05/3.83 % (2604728)------------------------------
% 19.05/3.83 % (2604728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604728)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604728)Termination reason: Instruction limit
% 19.05/3.83 % (2604728)Termination phase: Preprocessing 2
% 19.05/3.83 % (2604728)Time elapsed: 0.031 s
% 19.05/3.83 % (2604728)Peak memory usage: 90 MB
% 19.05/3.83 % (2604728)Instructions burned: 115 (million)
% 19.05/3.83 % (2604727)Instruction limit reached!
% 19.05/3.83 % (2604727)------------------------------
% 19.05/3.83 % (2604727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604727)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604727)Termination reason: Instruction limit
% 19.05/3.83 % (2604727)Termination phase: Clausification
% 19.05/3.83 % (2604727)Time elapsed: 0.083 s
% 19.05/3.83 % (2604727)Peak memory usage: 96 MB
% 19.05/3.83 % (2604727)Instructions burned: 128 (million)
% 19.05/3.83 % (2604729)lrs+10_1_sil=8000:sp=occurrence:random_seed=942653567:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 19.05/3.83 % (2604732)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3876160898:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 19.05/3.83 % (2604734)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4172875679:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 19.05/3.83 % (2604732)Instruction limit reached!
% 19.05/3.83 % (2604732)------------------------------
% 19.05/3.83 % (2604732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604732)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604732)Termination reason: Instruction limit
% 19.05/3.83 % (2604732)Termination phase: Saturation
% 19.05/3.83 % (2604732)Time elapsed: 0.143 s
% 19.05/3.83 % (2604732)Peak memory usage: 96 MB
% 19.05/3.83 % (2604732)Instructions burned: 438 (million)
% 19.05/3.83 % (2604737)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4162058320:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 19.05/3.83 % (2604737)Instruction limit reached!
% 19.05/3.83 % (2604737)------------------------------
% 19.05/3.83 % (2604737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604737)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604737)Termination reason: Instruction limit
% 19.05/3.83 % (2604737)Termination phase: Saturation
% 19.05/3.83 % (2604737)Time elapsed: 0.047 s
% 19.05/3.83 % (2604737)Peak memory usage: 96 MB
% 19.05/3.83 % (2604737)Instructions burned: 135 (million)
% 19.05/3.83 % (2604739)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=222651924:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 19.05/3.83 % (2604729)Instruction limit reached!
% 19.05/3.83 % (2604729)------------------------------
% 19.05/3.83 % (2604729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604729)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604729)Termination reason: Instruction limit
% 19.05/3.83 % (2604729)Termination phase: Saturation
% 19.05/3.83 % (2604729)Time elapsed: 0.583 s
% 19.05/3.83 % (2604729)Peak memory usage: 108 MB
% 19.05/3.83 % (2604729)Instructions burned: 908 (million)
% 19.05/3.83 % (2604739)Instruction limit reached!
% 19.05/3.83 % (2604739)------------------------------
% 19.05/3.83 % (2604739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604739)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604739)Termination reason: Instruction limit
% 19.05/3.83 % (2604739)Termination phase: Saturation
% 19.05/3.83 % (2604739)Time elapsed: 0.182 s
% 19.05/3.83 % (2604739)Peak memory usage: 106 MB
% 19.05/3.83 % (2604739)Instructions burned: 594 (million)
% 19.05/3.83 % (2604742)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2944213051:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 19.05/3.83 % (2604741)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=646610185:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 19.05/3.83 % (2604742)Instruction limit reached!
% 19.05/3.83 % (2604742)------------------------------
% 19.05/3.83 % (2604742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604742)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604742)Termination reason: Instruction limit
% 19.05/3.83 % (2604742)Termination phase: Function definition elimination
% 19.05/3.83 % (2604742)Time elapsed: 0.041 s
% 19.05/3.83 % (2604742)Peak memory usage: 92 MB
% 19.05/3.83 % (2604742)Instructions burned: 131 (million)
% 19.05/3.83 % (2604745)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3965593212:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 19.05/3.83 % (2604745)Instruction limit reached!
% 19.05/3.83 % (2604745)------------------------------
% 19.05/3.83 % (2604745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604745)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604745)Termination reason: Instruction limit
% 19.05/3.83 % (2604745)Termination phase: Preprocessing 1
% 19.05/3.83 % (2604745)Time elapsed: 0.040 s
% 19.05/3.83 % (2604745)Peak memory usage: 90 MB
% 19.05/3.83 % (2604745)Instructions burned: 136 (million)
% 19.05/3.83 % (2604747)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3316679333:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 19.05/3.83 % (2604747)Instruction limit reached!
% 19.05/3.83 % (2604747)------------------------------
% 19.05/3.83 % (2604747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604747)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604747)Termination reason: Instruction limit
% 19.05/3.83 % (2604747)Termination phase: Saturation
% 19.05/3.83 % (2604747)Time elapsed: 0.039 s
% 19.05/3.83 % (2604747)Peak memory usage: 94 MB
% 19.05/3.83 % (2604747)Instructions burned: 141 (million)
% 19.05/3.83 % (2604749)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2628861580:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 19.05/3.83 % (2604749)Refutation not found, incomplete strategy
% 19.05/3.83 % (2604749)------------------------------
% 19.05/3.83 % (2604749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604749)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604749)Termination reason: Refutation not found, incomplete strategy
% 19.05/3.83 % (2604749)Time elapsed: 0.011 s
% 19.05/3.83 % (2604749)Peak memory usage: 93 MB
% 19.05/3.83 % (2604749)Instructions burned: 24 (million)
% 19.05/3.83 % (2604721)Instruction limit reached!
% 19.05/3.83 % (2604721)------------------------------
% 19.05/3.83 % (2604721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604721)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604721)Termination reason: Instruction limit
% 19.05/3.83 % (2604721)Termination phase: Saturation
% 19.05/3.83 % (2604721)Time elapsed: 1.484 s
% 19.05/3.83 % (2604721)Peak memory usage: 223 MB
% 19.05/3.83 % (2604721)Instructions burned: 2351 (million)
% 19.05/3.83 % (2604749)------------------------------
% 19.05/3.83 % (2604749)------------------------------
% 19.05/3.83 % (2604751)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=4292741745:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 19.05/3.83 % (2604752)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4281565903:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2978 on theBenchmark for (2978ds/150Mi)
% 19.05/3.83 % (2604752)Instruction limit reached!
% 19.05/3.83 % (2604752)------------------------------
% 19.05/3.83 % (2604752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.83 % (2604752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.83 % (2604752)CaDiCaL version: 2.1.3
% 19.05/3.83 % (2604752)Termination reason: Instruction limit
% 19.05/3.83 % (2604752)Termination phase: Clausification
% 19.05/3.83 % (2604752)Time elapsed: 0.055 s
% 19.05/3.83 % (2604752)Peak memory usage: 96 MB
% 19.05/3.83 % (2604752)Instructions burned: 150 (million)
% 19.05/3.83 % (2604755)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1276477061:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 19.05/3.83 % (2604699)First to succeed.
% 19.05/3.83 % (2604699)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2604694"
% 19.05/3.83 % (2604699)Refutation found. Thanks to Tanya!
% 19.05/3.83 % SZS status Theorem for theBenchmark
% 19.05/3.83 % SZS output start Proof for theBenchmark
% See solution above
% 22.45/3.93 % (2604699)------------------------------
% 22.45/3.93 % (2604699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.45/3.93 % (2604699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.45/3.93 % (2604699)CaDiCaL version: 2.1.3
% 22.45/3.93 % (2604699)Termination reason: Refutation
% 22.45/3.93 % (2604699)Time elapsed: 2.699 s
% 22.45/3.93 % (2604699)Peak memory usage: 212 MB
% 22.45/3.93 % (2604699)Instructions burned: 4565 (million)
% 22.45/3.93 % (2604699)------------------------------
% 22.45/3.93 % (2604699)------------------------------
% 22.45/3.93 % (2604694)Success in time 3.188 s
% 22.45/3.93 % Vampire exiting
%------------------------------------------------------------------------------