%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP621+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 34.45s 11.46s
% Output : Refutation 65.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 31
% Syntax : Number of formulae : 371 ( 40 unt; 16 def)
% Number of atoms : 2479 ( 51 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 3830 (1722 ~;1854 |; 184 &)
% ( 37 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 16 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 281 ( 0 sgn 272 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f1394,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(f2015,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(f2933,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f2937,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f6422,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f11184,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(f11221,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(f11222,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(f12867,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f12876,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X2,X1)
<=> ( v2_funct_1(X2)
& v3_group_6(X2,X0,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f12880,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X1,X0,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f12884,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(f12885,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)],[f12884]) ).
fof(f12890,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) ) ) ) ) ) ),
inference(rectify,[],[f12876]) ).
fof(f13045,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,[],[f12885]) ).
fof(f13046,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,[],[f13045]) ).
fof(f13101,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,[],[f2015]) ).
fof(f13102,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,[],[f13101]) ).
fof(f13133,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12880]) ).
fof(f13134,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,[],[f13133]) ).
fof(f13139,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,[],[f12890]) ).
fof(f13140,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,[],[f13139]) ).
fof(f13141,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12867]) ).
fof(f13142,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,[],[f13141]) ).
fof(f13193,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f13206,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f14726,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,[],[f11184]) ).
fof(f14727,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,[],[f14726]) ).
fof(f14792,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2937]) ).
fof(f14793,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,[],[f14792]) ).
fof(f14798,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2933]) ).
fof(f15016,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f15040,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f15041,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f15040]) ).
fof(f19584,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,[],[f11222]) ).
fof(f19585,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,[],[f19584]) ).
fof(f19586,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,[],[f11221]) ).
fof(f19587,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,[],[f19586]) ).
fof(f19660,definition,
! [X0,X1] :
( sP1(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,[sP1])],[predicate_definition_introduction]) ).
fof(f19661,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) )
& sP1(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,[],[f13140,f19660]) ).
fof(f19923,plain,
( ~ m2_fraenkel(k7_funct_2(u1_struct_0(sK164),u1_struct_0(sK164),u1_struct_0(sK164),sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164),k1_autgroup(sK164))
& m2_fraenkel(sK166,u1_struct_0(sK164),u1_struct_0(sK164),k1_autgroup(sK164))
& m2_fraenkel(sK165,u1_struct_0(sK164),u1_struct_0(sK164),k1_autgroup(sK164))
& ~ v3_struct_0(sK164)
& v1_group_1(sK164)
& v3_group_1(sK164)
& v4_group_1(sK164)
& l1_group_1(sK164) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK164,sK165,sK166]),skolemize(X0,sK164),skolemize(X1,sK165),skolemize(X2,sK166)],[f13046]) ).
fof(f19949,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,[],[f13134]) ).
fof(f19954,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) )
| ~ sP1(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) )
& sP1(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,[],[f19661]) ).
fof(f19955,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) )
| ~ sP1(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) )
& sP1(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,[],[f19954]) ).
fof(f19956,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) )
| ~ sP1(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) )
& sP1(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,[],[f19955]) ).
fof(f19957,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ( ( ~ v1_funct_1(sK192(X0,X1))
| ~ v1_funct_2(sK192(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK192(X0,X1),X0,X0)
| ~ m2_relset_1(sK192(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK192(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP1(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) )
& sP1(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,[sK192]),skolemize(X2,sK192(X0,X1))],[f19956]) ).
fof(f19975,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f13206]) ).
fof(f20119,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,[],[f1394]) ).
fof(f20479,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,[],[f14793]) ).
fof(f22092,plain,
l1_group_1(sK164),
inference(cnf_transformation,[],[f19923]) ).
fof(f22093,plain,
v4_group_1(sK164),
inference(cnf_transformation,[],[f19923]) ).
fof(f22094,plain,
v3_group_1(sK164),
inference(cnf_transformation,[],[f19923]) ).
fof(f22095,plain,
v1_group_1(sK164),
inference(cnf_transformation,[],[f19923]) ).
fof(f22096,plain,
~ v3_struct_0(sK164),
inference(cnf_transformation,[],[f19923]) ).
fof(f22097,plain,
m2_fraenkel(sK165,u1_struct_0(sK164),u1_struct_0(sK164),k1_autgroup(sK164)),
inference(cnf_transformation,[],[f19923]) ).
fof(f22098,plain,
m2_fraenkel(sK166,u1_struct_0(sK164),u1_struct_0(sK164),k1_autgroup(sK164)),
inference(cnf_transformation,[],[f19923]) ).
fof(f22099,plain,
~ m2_fraenkel(k7_funct_2(u1_struct_0(sK164),u1_struct_0(sK164),u1_struct_0(sK164),sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164),k1_autgroup(sK164)),
inference(cnf_transformation,[],[f19923]) ).
fof(f22161,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,[],[f13102]) ).
fof(f22215,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,[],[f19949]) ).
fof(f22216,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,[],[f19949]) ).
fof(f22230,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,[],[f19957]) ).
fof(f22231,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,[],[f19957]) ).
fof(f22232,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,[],[f19957]) ).
fof(f22233,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,[],[f19957]) ).
fof(f22236,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,[],[f13142]) ).
fof(f22285,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f13193]) ).
fof(f22303,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f19975]) ).
fof(f22808,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f20119]) ).
fof(f24301,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,[],[f14727]) ).
fof(f24390,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,[],[f20479]) ).
fof(f24391,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,[],[f20479]) ).
fof(f24398,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f14798]) ).
fof(f24681,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f15016]) ).
fof(f24705,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f15041]) ).
fof(f31130,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,[],[f19585]) ).
fof(f31131,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,[],[f19587]) ).
fof(f31132,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,[],[f19587]) ).
fof(f31133,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,[],[f19587]) ).
fof(f31134,plain,
! [X2,X3,X0,X1,X4] :
( v1_funct_1(k8_group_6(X0,X1,X2,X3,X4))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m1_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_group_6(X4,X1,X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(cnf_transformation,[],[f19587]) ).
fof(f34342,plain,
! [X3,X0] :
( v1_funct_1(X3)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(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,[],[f22233]) ).
fof(f34343,plain,
! [X3,X0] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(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,[],[f22232]) ).
fof(f34344,plain,
! [X3,X0] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(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,[],[f22231]) ).
fof(f34345,plain,
! [X3,X0] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(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,[],[f22230]) ).
fof(f35954,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))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f34345,f22236]) ).
fof(f35955,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_group_6(X3,X0,X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f34344,f22236]) ).
fof(f35956,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))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f34343,f22236]) ).
fof(f35957,plain,
! [X3,X0] :
( ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v1_funct_1(X3)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f34342,f22236]) ).
fof(f36194,plain,
l1_struct_0(sK164),
inference(resolution,[],[f24681,f22092]) ).
fof(f36195,plain,
( v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f35956,f22098]) ).
fof(f36196,plain,
( v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f35956,f22097]) ).
fof(f36197,plain,
( ~ m1_subset_1(k7_funct_2(u1_struct_0(sK164),u1_struct_0(sK164),u1_struct_0(sK164),sK166,sK165),k1_autgroup(sK164))
| v1_xboole_0(u1_struct_0(sK164))
| ~ m1_fraenkel(k1_autgroup(sK164),u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(resolution,[],[f24391,f22099]) ).
fof(f36200,definition,
( spl1380_48
<=> m1_fraenkel(k1_autgroup(sK164),u1_struct_0(sK164),u1_struct_0(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_48])],[avatar_definition]) ).
fof(f36201,plain,
( m1_fraenkel(k1_autgroup(sK164),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_48 ),
inference(avatar_component_clause,[],[f36200]) ).
fof(f36202,plain,
( ~ m1_fraenkel(k1_autgroup(sK164),u1_struct_0(sK164),u1_struct_0(sK164))
| spl1380_48 ),
inference(avatar_component_clause,[],[f36200]) ).
fof(f36204,definition,
( spl1380_49
<=> v1_xboole_0(u1_struct_0(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_49])],[avatar_definition]) ).
fof(f36205,plain,
( ~ v1_xboole_0(u1_struct_0(sK164))
| spl1380_49 ),
inference(avatar_component_clause,[],[f36204]) ).
fof(f36206,plain,
( v1_xboole_0(u1_struct_0(sK164))
| ~ spl1380_49 ),
inference(avatar_component_clause,[],[f36204]) ).
fof(f36208,definition,
( spl1380_50
<=> m1_subset_1(k7_funct_2(u1_struct_0(sK164),u1_struct_0(sK164),u1_struct_0(sK164),sK166,sK165),k1_autgroup(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_50])],[avatar_definition]) ).
fof(f36210,plain,
( ~ m1_subset_1(k7_funct_2(u1_struct_0(sK164),u1_struct_0(sK164),u1_struct_0(sK164),sK166,sK165),k1_autgroup(sK164))
| spl1380_50 ),
inference(avatar_component_clause,[],[f36208]) ).
fof(f36211,plain,
( ~ spl1380_48
| spl1380_49
| ~ spl1380_50 ),
inference(avatar_split_clause,[],[f36197,f36208,f36204,f36200]) ).
fof(f36212,plain,
( v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| spl1380_48 ),
inference(resolution,[],[f36202,f22236]) ).
fof(f36213,plain,
( m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f35954,f22098]) ).
fof(f36214,plain,
( m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f35954,f22097]) ).
fof(f36216,plain,
( v1_group_6(sK166,sK164,sK164)
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f35955,f22098]) ).
fof(f36217,plain,
( v1_group_6(sK165,sK164,sK164)
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f35955,f22097]) ).
fof(f36219,plain,
( v1_funct_1(sK166)
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f35957,f22098]) ).
fof(f36220,plain,
( v1_funct_1(sK165)
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f35957,f22097]) ).
fof(f36233,plain,
( m1_subset_1(sK166,k1_autgroup(sK164))
| v1_xboole_0(u1_struct_0(sK164))
| ~ m1_fraenkel(k1_autgroup(sK164),u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(resolution,[],[f24390,f22098]) ).
fof(f36234,plain,
( m1_subset_1(sK165,k1_autgroup(sK164))
| v1_xboole_0(u1_struct_0(sK164))
| ~ m1_fraenkel(k1_autgroup(sK164),u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(resolution,[],[f24390,f22097]) ).
fof(f36310,plain,
( v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36196,f22096]) ).
fof(f36311,plain,
( v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36195,f22096]) ).
fof(f36312,plain,
( ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| spl1380_48 ),
inference(forward_subsumption_resolution,[],[f36212,f22096]) ).
fof(f36313,plain,
( m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36214,f22096]) ).
fof(f36314,plain,
( m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36213,f22096]) ).
fof(f36316,plain,
( v1_group_6(sK165,sK164,sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36217,f22096]) ).
fof(f36317,plain,
( v1_group_6(sK166,sK164,sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36216,f22096]) ).
fof(f36319,plain,
( v1_funct_1(sK165)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36220,f22096]) ).
fof(f36320,plain,
( v1_funct_1(sK166)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36219,f22096]) ).
fof(f36341,plain,
( v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36310,f22095]) ).
fof(f36342,plain,
( v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36311,f22095]) ).
fof(f36343,plain,
( ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| spl1380_48 ),
inference(forward_subsumption_resolution,[],[f36312,f22095]) ).
fof(f36344,plain,
( m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36313,f22095]) ).
fof(f36345,plain,
( m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36314,f22095]) ).
fof(f36346,plain,
( v1_group_6(sK165,sK164,sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36316,f22095]) ).
fof(f36347,plain,
( v1_group_6(sK166,sK164,sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36317,f22095]) ).
fof(f36348,plain,
( v1_funct_1(sK165)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36319,f22095]) ).
fof(f36349,plain,
( v1_funct_1(sK166)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36320,f22095]) ).
fof(f36363,plain,
( v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36341,f22094]) ).
fof(f36364,plain,
( v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36342,f22094]) ).
fof(f36365,plain,
( ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| spl1380_48 ),
inference(forward_subsumption_resolution,[],[f36343,f22094]) ).
fof(f36366,plain,
( m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36344,f22094]) ).
fof(f36367,plain,
( m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36345,f22094]) ).
fof(f36368,plain,
( v1_group_6(sK165,sK164,sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36346,f22094]) ).
fof(f36369,plain,
( v1_group_6(sK166,sK164,sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36347,f22094]) ).
fof(f36370,plain,
( v1_funct_1(sK165)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36348,f22094]) ).
fof(f36371,plain,
( v1_funct_1(sK166)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36349,f22094]) ).
fof(f36378,plain,
( v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36363,f22093]) ).
fof(f36379,plain,
( v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36364,f22093]) ).
fof(f36380,plain,
( ~ l1_group_1(sK164)
| spl1380_48 ),
inference(forward_subsumption_resolution,[],[f36365,f22093]) ).
fof(f36381,plain,
( m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36366,f22093]) ).
fof(f36382,plain,
( m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36367,f22093]) ).
fof(f36383,plain,
( v1_group_6(sK165,sK164,sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36368,f22093]) ).
fof(f36384,plain,
( v1_group_6(sK166,sK164,sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36369,f22093]) ).
fof(f36385,plain,
( v1_funct_1(sK165)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36370,f22093]) ).
fof(f36386,plain,
( v1_funct_1(sK166)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36371,f22093]) ).
fof(f36392,plain,
v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164)),
inference(forward_subsumption_resolution,[],[f36378,f22092]) ).
fof(f36393,plain,
v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164)),
inference(forward_subsumption_resolution,[],[f36379,f22092]) ).
fof(f36394,plain,
( $false
| spl1380_48 ),
inference(forward_subsumption_resolution,[],[f36380,f22092]) ).
fof(f36395,plain,
spl1380_48,
inference(avatar_contradiction_clause,[],[f36394]) ).
fof(f36396,plain,
m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)),
inference(forward_subsumption_resolution,[],[f36381,f22092]) ).
fof(f36397,plain,
m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164)),
inference(forward_subsumption_resolution,[],[f36382,f22092]) ).
fof(f36398,plain,
v1_group_6(sK165,sK164,sK164),
inference(forward_subsumption_resolution,[],[f36383,f22092]) ).
fof(f36399,plain,
v1_group_6(sK166,sK164,sK164),
inference(forward_subsumption_resolution,[],[f36384,f22092]) ).
fof(f36400,plain,
v1_funct_1(sK165),
inference(forward_subsumption_resolution,[],[f36385,f22092]) ).
fof(f36401,plain,
v1_funct_1(sK166),
inference(forward_subsumption_resolution,[],[f36386,f22092]) ).
fof(f36406,plain,
( m1_subset_1(sK165,k1_autgroup(sK164))
| v1_xboole_0(u1_struct_0(sK164))
| ~ spl1380_48 ),
inference(forward_subsumption_resolution,[],[f36234,f36201]) ).
fof(f36407,plain,
( m1_subset_1(sK166,k1_autgroup(sK164))
| v1_xboole_0(u1_struct_0(sK164))
| ~ spl1380_48 ),
inference(forward_subsumption_resolution,[],[f36233,f36201]) ).
fof(f36409,definition,
( spl1380_51
<=> m1_subset_1(sK165,k1_autgroup(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_51])],[avatar_definition]) ).
fof(f36411,plain,
( m1_subset_1(sK165,k1_autgroup(sK164))
| ~ spl1380_51 ),
inference(avatar_component_clause,[],[f36409]) ).
fof(f36412,plain,
( spl1380_49
| spl1380_51
| ~ spl1380_48 ),
inference(avatar_split_clause,[],[f36406,f36200,f36409,f36204]) ).
fof(f36414,definition,
( spl1380_52
<=> m1_subset_1(sK166,k1_autgroup(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_52])],[avatar_definition]) ).
fof(f36416,plain,
( m1_subset_1(sK166,k1_autgroup(sK164))
| ~ spl1380_52 ),
inference(avatar_component_clause,[],[f36414]) ).
fof(f36417,plain,
( spl1380_49
| spl1380_52
| ~ spl1380_48 ),
inference(avatar_split_clause,[],[f36407,f36200,f36414,f36204]) ).
fof(f36418,plain,
( v3_struct_0(sK164)
| ~ l1_struct_0(sK164)
| ~ spl1380_49 ),
inference(resolution,[],[f36206,f24705]) ).
fof(f36419,plain,
( ~ l1_struct_0(sK164)
| ~ spl1380_49 ),
inference(forward_subsumption_resolution,[],[f36418,f22096]) ).
fof(f36420,plain,
( $false
| ~ spl1380_49 ),
inference(forward_subsumption_resolution,[],[f36419,f36194]) ).
fof(f36421,plain,
~ spl1380_49,
inference(avatar_contradiction_clause,[],[f36420]) ).
fof(f36422,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| ~ v1_funct_1(sK166)
| v4_group_6(sK166,sK164,sK164)
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f36393,f22215]) ).
fof(f36433,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| v4_group_6(sK166,sK164,sK164)
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36422,f36401]) ).
fof(f36438,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| v4_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36433,f36399]) ).
fof(f36440,definition,
( spl1380_53
<=> m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_53])],[avatar_definition]) ).
fof(f36441,plain,
( m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53 ),
inference(avatar_component_clause,[],[f36440]) ).
fof(f36442,plain,
( ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| spl1380_53 ),
inference(avatar_component_clause,[],[f36440]) ).
fof(f36450,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| v4_group_6(sK166,sK164,sK164)
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36438,f36397]) ).
fof(f36454,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| v4_group_6(sK166,sK164,sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36450,f22096]) ).
fof(f36457,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| v4_group_6(sK166,sK164,sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36454,f22095]) ).
fof(f36460,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| v4_group_6(sK166,sK164,sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36457,f22094]) ).
fof(f36466,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| v4_group_6(sK166,sK164,sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36460,f22093]) ).
fof(f36468,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| v4_group_6(sK166,sK164,sK164) ),
inference(forward_subsumption_resolution,[],[f36466,f22092]) ).
fof(f36470,definition,
( spl1380_56
<=> r2_hidden(sK166,k1_autgroup(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_56])],[avatar_definition]) ).
fof(f36471,plain,
( ~ r2_hidden(sK166,k1_autgroup(sK164))
| spl1380_56 ),
inference(avatar_component_clause,[],[f36470]) ).
fof(f36474,definition,
( spl1380_57
<=> v4_group_6(sK166,sK164,sK164) ),
introduced(definition,[new_symbols(definition,[spl1380_57])],[avatar_definition]) ).
fof(f36475,plain,
( v4_group_6(sK166,sK164,sK164)
| ~ spl1380_57 ),
inference(avatar_component_clause,[],[f36474]) ).
fof(f36478,plain,
( spl1380_57
| ~ spl1380_56 ),
inference(avatar_split_clause,[],[f36468,f36470,f36474]) ).
fof(f36479,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| ~ v1_funct_1(sK165)
| v4_group_6(sK165,sK164,sK164)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(resolution,[],[f36392,f22215]) ).
fof(f36482,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(resolution,[],[f36392,f31130]) ).
fof(f36483,plain,
! [X0,X1] :
( v1_xboole_0(u1_struct_0(sK164))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK164))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| k5_relat_1(X0,sK165) = k7_funct_2(X1,u1_struct_0(sK164),u1_struct_0(sK164),X0,sK165)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(resolution,[],[f36392,f22161]) ).
fof(f36484,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(duplicate_literal_removal,[],[f36482]) ).
fof(f36486,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK164))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| k5_relat_1(X0,sK165) = k7_funct_2(X1,u1_struct_0(sK164),u1_struct_0(sK164),X0,sK165)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) )
| spl1380_49 ),
inference(forward_subsumption_resolution,[],[f36483,f36205]) ).
fof(f36487,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(forward_subsumption_resolution,[],[f36484,f22096]) ).
fof(f36490,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| v4_group_6(sK165,sK164,sK164)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36479,f36400]) ).
fof(f36491,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK164))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK164))
| k5_relat_1(X0,sK165) = k7_funct_2(X1,u1_struct_0(sK164),u1_struct_0(sK164),X0,sK165)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) )
| spl1380_49 ),
inference(forward_subsumption_resolution,[],[f36486,f36400]) ).
fof(f36492,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(forward_subsumption_resolution,[],[f36487,f22094]) ).
fof(f36495,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| v4_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36490,f36398]) ).
fof(f36497,definition,
( spl1380_58
<=> m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_58])],[avatar_definition]) ).
fof(f36498,plain,
( m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_58 ),
inference(avatar_component_clause,[],[f36497]) ).
fof(f36499,plain,
( ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| spl1380_58 ),
inference(avatar_component_clause,[],[f36497]) ).
fof(f36501,definition,
( spl1380_59
<=> ! [X0,X1] :
( ~ v1_funct_1(X0)
| k5_relat_1(X0,sK165) = k7_funct_2(X1,u1_struct_0(sK164),u1_struct_0(sK164),X0,sK165)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK164))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK164)) ) ),
introduced(definition,[new_symbols(definition,[spl1380_59])],[avatar_definition]) ).
fof(f36502,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,X1,u1_struct_0(sK164))
| k5_relat_1(X0,sK165) = k7_funct_2(X1,u1_struct_0(sK164),u1_struct_0(sK164),X0,sK165)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK164))
| ~ v1_funct_1(X0) )
| ~ spl1380_59 ),
inference(avatar_component_clause,[],[f36501]) ).
fof(f36503,plain,
( ~ spl1380_58
| spl1380_59
| spl1380_49 ),
inference(avatar_split_clause,[],[f36491,f36204,f36501,f36497]) ).
fof(f36504,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(forward_subsumption_resolution,[],[f36492,f22093]) ).
fof(f36507,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| v4_group_6(sK165,sK164,sK164)
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36495,f36396]) ).
fof(f36508,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(forward_subsumption_resolution,[],[f36504,f22092]) ).
fof(f36511,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| v4_group_6(sK165,sK164,sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36507,f22096]) ).
fof(f36512,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(forward_subsumption_resolution,[],[f36508,f36400]) ).
fof(f36514,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| v4_group_6(sK165,sK164,sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36511,f22095]) ).
fof(f36515,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)) ),
inference(forward_subsumption_resolution,[],[f36512,f36398]) ).
fof(f36517,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| v4_group_6(sK165,sK164,sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36514,f22094]) ).
fof(f36519,definition,
( spl1380_60
<=> ! [X0,X1] :
( v3_struct_0(X0)
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1380_60])],[avatar_definition]) ).
fof(f36520,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK164))
| k5_relat_1(X1,sK165) = k8_group_6(X0,sK164,sK164,X1,sK165)
| ~ m1_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK164))
| ~ v1_group_6(X1,X0,sK164)
| ~ v1_funct_1(X1)
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) )
| ~ spl1380_60 ),
inference(avatar_component_clause,[],[f36519]) ).
fof(f36521,plain,
( ~ spl1380_58
| spl1380_60 ),
inference(avatar_split_clause,[],[f36515,f36519,f36497]) ).
fof(f36523,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| v4_group_6(sK165,sK164,sK164)
| ~ l1_group_1(sK164) ),
inference(forward_subsumption_resolution,[],[f36517,f22093]) ).
fof(f36525,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| v4_group_6(sK165,sK164,sK164) ),
inference(forward_subsumption_resolution,[],[f36523,f22092]) ).
fof(f36527,definition,
( spl1380_61
<=> r2_hidden(sK165,k1_autgroup(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_61])],[avatar_definition]) ).
fof(f36528,plain,
( ~ r2_hidden(sK165,k1_autgroup(sK164))
| spl1380_61 ),
inference(avatar_component_clause,[],[f36527]) ).
fof(f36531,definition,
( spl1380_62
<=> v4_group_6(sK165,sK164,sK164) ),
introduced(definition,[new_symbols(definition,[spl1380_62])],[avatar_definition]) ).
fof(f36532,plain,
( v4_group_6(sK165,sK164,sK164)
| ~ spl1380_62 ),
inference(avatar_component_clause,[],[f36531]) ).
fof(f36535,plain,
( spl1380_62
| ~ spl1380_61 ),
inference(avatar_split_clause,[],[f36525,f36527,f36531]) ).
fof(f36536,plain,
m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164)),
inference(resolution,[],[f36397,f22808]) ).
fof(f36537,plain,
( $false
| spl1380_53 ),
inference(forward_subsumption_resolution,[],[f36536,f36442]) ).
fof(f36538,plain,
spl1380_53,
inference(avatar_contradiction_clause,[],[f36537]) ).
fof(f36539,plain,
m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164)),
inference(resolution,[],[f36396,f22808]) ).
fof(f36540,plain,
( $false
| spl1380_58 ),
inference(forward_subsumption_resolution,[],[f36539,f36499]) ).
fof(f36541,plain,
spl1380_58,
inference(avatar_contradiction_clause,[],[f36540]) ).
fof(f36544,plain,
( ~ v1_xboole_0(k1_autgroup(sK164))
| ~ spl1380_48 ),
inference(resolution,[],[f36201,f24398]) ).
fof(f36758,plain,
( k5_relat_1(sK166,sK165) = k8_group_6(sK164,sK164,sK164,sK166,sK165)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ v1_funct_1(sK166)
| v3_struct_0(sK164)
| ~ l1_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ spl1380_60 ),
inference(resolution,[],[f36520,f36393]) ).
fof(f36760,plain,
( k5_relat_1(sK166,sK165) = k8_group_6(sK164,sK164,sK164,sK166,sK165)
| ~ v1_group_6(sK166,sK164,sK164)
| ~ v1_funct_1(sK166)
| v3_struct_0(sK164)
| ~ l1_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36758,f36441]) ).
fof(f36764,plain,
( k5_relat_1(sK166,sK165) = k8_group_6(sK164,sK164,sK164,sK166,sK165)
| ~ v1_funct_1(sK166)
| v3_struct_0(sK164)
| ~ l1_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36760,f36399]) ).
fof(f36768,plain,
( k5_relat_1(sK166,sK165) = k8_group_6(sK164,sK164,sK164,sK166,sK165)
| v3_struct_0(sK164)
| ~ l1_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36764,f36401]) ).
fof(f36771,plain,
( k5_relat_1(sK166,sK165) = k8_group_6(sK164,sK164,sK164,sK166,sK165)
| ~ l1_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36768,f22096]) ).
fof(f36774,plain,
( k5_relat_1(sK166,sK165) = k8_group_6(sK164,sK164,sK164,sK166,sK165)
| ~ v4_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36771,f22092]) ).
fof(f36777,plain,
( k5_relat_1(sK166,sK165) = k8_group_6(sK164,sK164,sK164,sK166,sK165)
| ~ v3_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36774,f22093]) ).
fof(f36780,plain,
( k5_relat_1(sK166,sK165) = k8_group_6(sK164,sK164,sK164,sK166,sK165)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36777,f22094]) ).
fof(f36825,plain,
( v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v4_group_6(sK166,sK164,sK164)
| ~ v4_group_6(sK165,sK164,sK164)
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(superposition,[],[f24301,f36780]) ).
fof(f36826,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(superposition,[],[f31134,f36780]) ).
fof(f36827,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(superposition,[],[f31132,f36780]) ).
fof(f36828,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(superposition,[],[f31133,f36780]) ).
fof(f36829,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(superposition,[],[f31131,f36780]) ).
fof(f36830,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(duplicate_literal_removal,[],[f36829]) ).
fof(f36831,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(duplicate_literal_removal,[],[f36828]) ).
fof(f36832,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(duplicate_literal_removal,[],[f36827]) ).
fof(f36833,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(duplicate_literal_removal,[],[f36826]) ).
fof(f36834,plain,
( v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v4_group_6(sK166,sK164,sK164)
| ~ v4_group_6(sK165,sK164,sK164)
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60 ),
inference(duplicate_literal_removal,[],[f36825]) ).
fof(f36835,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36830,f22096]) ).
fof(f36836,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36831,f22096]) ).
fof(f36837,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36832,f22096]) ).
fof(f36838,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36833,f22096]) ).
fof(f36839,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36835,f22094]) ).
fof(f36840,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36836,f22094]) ).
fof(f36841,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36837,f22094]) ).
fof(f36842,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36838,f22094]) ).
fof(f36843,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36839,f22093]) ).
fof(f36844,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36840,f22093]) ).
fof(f36845,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36841,f22093]) ).
fof(f36846,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ l1_group_1(sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36842,f22093]) ).
fof(f36847,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36843,f22092]) ).
fof(f36848,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36844,f22092]) ).
fof(f36849,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36845,f22092]) ).
fof(f36850,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36846,f22092]) ).
fof(f36851,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36847,f36401]) ).
fof(f36852,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36848,f36401]) ).
fof(f36853,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36849,f36401]) ).
fof(f36854,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36850,f36401]) ).
fof(f36855,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36851,f36393]) ).
fof(f36856,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36852,f36393]) ).
fof(f36857,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36853,f36393]) ).
fof(f36858,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36854,f36393]) ).
fof(f36859,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36855,f36399]) ).
fof(f36860,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36856,f36399]) ).
fof(f36861,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36857,f36399]) ).
fof(f36862,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36858,f36399]) ).
fof(f36863,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36859,f36441]) ).
fof(f36864,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36860,f36441]) ).
fof(f36865,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36861,f36441]) ).
fof(f36866,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36862,f36441]) ).
fof(f36867,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36863,f36400]) ).
fof(f36868,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36864,f36400]) ).
fof(f36869,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36865,f36400]) ).
fof(f36870,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36866,f36400]) ).
fof(f36871,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36867,f36392]) ).
fof(f36872,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36868,f36392]) ).
fof(f36873,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36869,f36392]) ).
fof(f36874,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36870,f36392]) ).
fof(f36875,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36871,f36398]) ).
fof(f36876,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36872,f36398]) ).
fof(f36877,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36873,f36398]) ).
fof(f36878,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ m1_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36874,f36398]) ).
fof(f36879,plain,
( m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36875,f36498]) ).
fof(f36880,plain,
( v1_funct_2(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36876,f36498]) ).
fof(f36881,plain,
( v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36877,f36498]) ).
fof(f36882,plain,
( v1_funct_1(k5_relat_1(sK166,sK165))
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f36878,f36498]) ).
fof(f36969,plain,
( k7_funct_2(u1_struct_0(sK164),u1_struct_0(sK164),u1_struct_0(sK164),sK166,sK165) = k5_relat_1(sK166,sK165)
| ~ m1_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ spl1380_59 ),
inference(resolution,[],[f36502,f36393]) ).
fof(f36970,plain,
( k7_funct_2(u1_struct_0(sK164),u1_struct_0(sK164),u1_struct_0(sK164),sK166,sK165) = k5_relat_1(sK166,sK165)
| ~ v1_funct_1(sK166)
| ~ spl1380_53
| ~ spl1380_59 ),
inference(forward_subsumption_resolution,[],[f36969,f36441]) ).
fof(f36974,plain,
( k7_funct_2(u1_struct_0(sK164),u1_struct_0(sK164),u1_struct_0(sK164),sK166,sK165) = k5_relat_1(sK166,sK165)
| ~ spl1380_53
| ~ spl1380_59 ),
inference(forward_subsumption_resolution,[],[f36970,f36401]) ).
fof(f37000,plain,
( ~ m1_subset_1(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| spl1380_50
| ~ spl1380_53
| ~ spl1380_59 ),
inference(superposition,[],[f36210,f36974]) ).
fof(f37172,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ v1_funct_1(k5_relat_1(sK166,sK165))
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(resolution,[],[f36880,f22216]) ).
fof(f37185,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ v1_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| ~ m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f37172,f36882]) ).
fof(f37194,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ m2_relset_1(k5_relat_1(sK166,sK165),u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f37185,f36881]) ).
fof(f37201,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| v3_struct_0(sK164)
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f37194,f36879]) ).
fof(f37207,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ v1_group_1(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f37201,f22096]) ).
fof(f37212,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f37207,f22095]) ).
fof(f37217,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f37212,f22094]) ).
fof(f37222,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f37217,f22093]) ).
fof(f37226,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(forward_subsumption_resolution,[],[f37222,f22092]) ).
fof(f37229,definition,
( spl1380_84
<=> r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164)) ),
introduced(definition,[new_symbols(definition,[spl1380_84])],[avatar_definition]) ).
fof(f37231,plain,
( r2_hidden(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ spl1380_84 ),
inference(avatar_component_clause,[],[f37229]) ).
fof(f37233,definition,
( spl1380_85
<=> v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164) ),
introduced(definition,[new_symbols(definition,[spl1380_85])],[avatar_definition]) ).
fof(f37235,plain,
( ~ v4_group_6(k5_relat_1(sK166,sK165),sK164,sK164)
| spl1380_85 ),
inference(avatar_component_clause,[],[f37233]) ).
fof(f37236,plain,
( spl1380_84
| ~ spl1380_85
| ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60 ),
inference(avatar_split_clause,[],[f37226,f36519,f36497,f36440,f37233,f37229]) ).
fof(f38187,plain,
( r2_hidden(sK165,k1_autgroup(sK164))
| v1_xboole_0(k1_autgroup(sK164))
| ~ spl1380_51 ),
inference(resolution,[],[f22303,f36411]) ).
fof(f38188,plain,
( r2_hidden(sK166,k1_autgroup(sK164))
| v1_xboole_0(k1_autgroup(sK164))
| ~ spl1380_52 ),
inference(resolution,[],[f22303,f36416]) ).
fof(f38189,plain,
( v1_xboole_0(k1_autgroup(sK164))
| ~ spl1380_52
| spl1380_56 ),
inference(forward_subsumption_resolution,[],[f38188,f36471]) ).
fof(f38190,plain,
( v1_xboole_0(k1_autgroup(sK164))
| ~ spl1380_51
| spl1380_61 ),
inference(forward_subsumption_resolution,[],[f38187,f36528]) ).
fof(f38191,plain,
( $false
| ~ spl1380_48
| ~ spl1380_52
| spl1380_56 ),
inference(forward_subsumption_resolution,[],[f38189,f36544]) ).
fof(f38192,plain,
( ~ spl1380_48
| ~ spl1380_52
| spl1380_56 ),
inference(avatar_contradiction_clause,[],[f38191]) ).
fof(f38193,plain,
( $false
| ~ spl1380_48
| ~ spl1380_51
| spl1380_61 ),
inference(forward_subsumption_resolution,[],[f38190,f36544]) ).
fof(f38194,plain,
( ~ spl1380_48
| ~ spl1380_51
| spl1380_61 ),
inference(avatar_contradiction_clause,[],[f38193]) ).
fof(f38198,plain,
( ~ v4_group_6(sK166,sK164,sK164)
| ~ v4_group_6(sK165,sK164,sK164)
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_60
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f36834,f37235]) ).
fof(f38202,plain,
( ~ v4_group_6(sK165,sK164,sK164)
| ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38198,f36475]) ).
fof(f38206,plain,
( ~ v1_funct_1(sK165)
| ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38202,f36532]) ).
fof(f38210,plain,
( ~ v1_funct_2(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38206,f36400]) ).
fof(f38214,plain,
( ~ v1_group_6(sK165,sK164,sK164)
| ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38210,f36392]) ).
fof(f38218,plain,
( ~ m2_relset_1(sK165,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38214,f36398]) ).
fof(f38222,plain,
( ~ v1_funct_1(sK166)
| ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38218,f36396]) ).
fof(f38226,plain,
( ~ v1_funct_2(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38222,f36401]) ).
fof(f38230,plain,
( ~ v1_group_6(sK166,sK164,sK164)
| ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38226,f36393]) ).
fof(f38236,plain,
( ~ m2_relset_1(sK166,u1_struct_0(sK164),u1_struct_0(sK164))
| v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38230,f36399]) ).
fof(f38238,plain,
( v3_struct_0(sK164)
| ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38236,f36397]) ).
fof(f38240,plain,
( ~ v3_group_1(sK164)
| ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38238,f22096]) ).
fof(f38242,plain,
( ~ v4_group_1(sK164)
| ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38240,f22094]) ).
fof(f38244,plain,
( ~ l1_group_1(sK164)
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38242,f22093]) ).
fof(f38247,plain,
( $false
| ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(forward_subsumption_resolution,[],[f38244,f22092]) ).
fof(f38248,plain,
( ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(avatar_contradiction_clause,[],[f38247]) ).
fof(f38364,plain,
( m1_subset_1(k5_relat_1(sK166,sK165),k1_autgroup(sK164))
| ~ spl1380_84 ),
inference(resolution,[],[f22285,f37231]) ).
fof(f38368,plain,
( $false
| spl1380_50
| ~ spl1380_53
| ~ spl1380_59
| ~ spl1380_84 ),
inference(forward_subsumption_resolution,[],[f38364,f37000]) ).
fof(f38369,plain,
( spl1380_50
| ~ spl1380_53
| ~ spl1380_59
| ~ spl1380_84 ),
inference(avatar_contradiction_clause,[],[f38368]) ).
cnf(s44,plain,
( ~ spl1380_48
| spl1380_49
| ~ spl1380_50 ),
inference(sat_conversion,[],[f36211]) ).
cnf(s46,plain,
spl1380_48,
inference(sat_conversion,[],[f36395]) ).
cnf(s47,plain,
( ~ spl1380_48
| spl1380_49
| spl1380_51 ),
inference(sat_conversion,[],[f36412]) ).
cnf(s48,plain,
( ~ spl1380_48
| spl1380_49
| spl1380_52 ),
inference(sat_conversion,[],[f36417]) ).
cnf(s49,plain,
~ spl1380_49,
inference(sat_conversion,[],[f36421]) ).
cnf(s53,plain,
( ~ spl1380_56
| spl1380_57 ),
inference(sat_conversion,[],[f36478]) ).
cnf(s54,plain,
( spl1380_49
| ~ spl1380_58
| spl1380_59 ),
inference(sat_conversion,[],[f36503]) ).
cnf(s55,plain,
( ~ spl1380_58
| spl1380_60 ),
inference(sat_conversion,[],[f36521]) ).
cnf(s57,plain,
( ~ spl1380_61
| spl1380_62 ),
inference(sat_conversion,[],[f36535]) ).
cnf(s58,plain,
spl1380_53,
inference(sat_conversion,[],[f36538]) ).
cnf(s59,plain,
spl1380_58,
inference(sat_conversion,[],[f36541]) ).
cnf(s81,plain,
( ~ spl1380_53
| ~ spl1380_58
| ~ spl1380_60
| spl1380_84
| ~ spl1380_85 ),
inference(sat_conversion,[],[f37236]) ).
cnf(s105,plain,
( ~ spl1380_48
| ~ spl1380_52
| spl1380_56 ),
inference(sat_conversion,[],[f38192]) ).
cnf(s106,plain,
( ~ spl1380_48
| ~ spl1380_51
| spl1380_61 ),
inference(sat_conversion,[],[f38194]) ).
cnf(s110,plain,
( ~ spl1380_53
| ~ spl1380_57
| ~ spl1380_60
| ~ spl1380_62
| spl1380_85 ),
inference(sat_conversion,[],[f38248]) ).
cnf(s111,plain,
( spl1380_50
| ~ spl1380_53
| ~ spl1380_59
| ~ spl1380_84 ),
inference(sat_conversion,[],[f38369]) ).
cnf(s132,plain,
spl1380_60,
inference(rat,[],[s55,s59]) ).
cnf(s133,plain,
( spl1380_49
| spl1380_59 ),
inference(rat,[],[s54,s59]) ).
cnf(s136,plain,
spl1380_59,
inference(rat,[],[s133,s49]) ).
cnf(s153,plain,
( ~ spl1380_48
| spl1380_52 ),
inference(rat,[],[s48,s49]) ).
cnf(s154,plain,
( ~ spl1380_48
| spl1380_51 ),
inference(rat,[],[s47,s49]) ).
cnf(s155,plain,
spl1380_52,
inference(rat,[],[s153,s46]) ).
cnf(s156,plain,
spl1380_51,
inference(rat,[],[s154,s46]) ).
cnf(s157,plain,
spl1380_56,
inference(rat,[],[s105,s46,s155]) ).
cnf(s158,plain,
spl1380_61,
inference(rat,[],[s106,s46,s156]) ).
cnf(s159,plain,
spl1380_57,
inference(rat,[],[s53,s157]) ).
cnf(s160,plain,
spl1380_62,
inference(rat,[],[s57,s158]) ).
cnf(s163,plain,
spl1380_85,
inference(rat,[],[s110,s159,s132,s58,s160]) ).
cnf(s167,plain,
spl1380_84,
inference(rat,[],[s81,s132,s58,s59,s163]) ).
cnf(s169,plain,
spl1380_50,
inference(rat,[],[s111,s136,s58,s167]) ).
cnf(s170,plain,
$false,
inference(rat,[],[s44,s169,s49,s46]) ).
fof(f38370,plain,
$false,
inference(avatar_sat_refutation,[],[s170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP621+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.48 % Computer : n002.cluster.edu
% 0.19/0.48 % Model : x86_64 x86_64
% 0.19/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.48 % Memory : 8046.5625MB
% 0.19/0.48 % OS : Linux 6.8.0-71-generic
% 0.19/0.48 % CPULimit : 300
% 0.19/0.48 % WCLimit : 300
% 0.19/0.48 % DateTime : Sun Sep 27 10:11:59 UTC 2026
% 0.19/0.48 % CPUTime :
% 0.19/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 27.08/6.17 % (3317946)Detected formulas, will run a generic FOF schedule.
% 27.08/6.17 % (3317953)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=2592800148:i=141695:sd=1:nm=32:gsp=on:ss=included_2987 on theBenchmark for (2987ds/141695Mi)
% 27.08/6.17 % (3317951)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=3022752293:i=141193_2987 on theBenchmark for (2987ds/141193Mi)
% 27.08/6.17 % (3317952)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=1970744127:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/134677Mi)
% 27.08/6.17 % (3317955)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4225573770:i=119:av=off:ss=axioms_2987 on theBenchmark for (2987ds/119Mi)
% 27.08/6.17 % (3317954)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=468156494:i=109:sd=1:ins=1:gsp=on:ss=axioms_2987 on theBenchmark for (2987ds/109Mi)
% 27.08/6.17 % (3317957)dis-21_1_sil=8000:lcm=predicate:random_seed=2909135711:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2987 on theBenchmark for (2987ds/129Mi)
% 27.08/6.17 % (3317956)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1510674091:s2a=on:i=139:gtg=position_2987 on theBenchmark for (2987ds/139Mi)
% 27.08/6.17 % (3317954)Refutation not found, incomplete strategy
% 27.08/6.17 % (3317954)------------------------------
% 27.08/6.17 % (3317954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.08/6.17 % (3317954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.08/6.17 % (3317954)CaDiCaL version: 2.1.3
% 27.08/6.17 % (3317954)Termination reason: Refutation not found, incomplete strategy
% 27.08/6.17 % (3317954)Time elapsed: 0.094 s
% 27.08/6.17 % (3317954)Peak memory usage: 106 MB
% 27.08/6.17 % (3317954)Instructions burned: 79 (million)
% 27.08/6.17 % (3317956)Instruction limit reached!
% 27.08/6.17 % (3317956)------------------------------
% 27.08/6.17 % (3317956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.08/6.17 % (3317956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.08/6.17 % (3317956)CaDiCaL version: 2.1.3
% 27.08/6.17 % (3317956)Termination reason: Instruction limit
% 27.08/6.17 % (3317956)Termination phase: Property scanning
% 27.08/6.17 % (3317956)Time elapsed: 0.113 s
% 27.08/6.17 % (3317956)Peak memory usage: 101 MB
% 27.08/6.17 % (3317956)Instructions burned: 139 (million)
% 27.08/6.17 % (3317955)Instruction limit reached!
% 27.08/6.17 % (3317955)------------------------------
% 27.08/6.17 % (3317955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.08/6.17 % (3317955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.08/6.17 % (3317955)CaDiCaL version: 2.1.3
% 27.08/6.17 % (3317955)Termination reason: Instruction limit
% 27.08/6.17 % (3317955)Termination phase: Preprocessing 3
% 27.08/6.17 % (3317955)Time elapsed: 0.148 s
% 27.08/6.17 % (3317955)Peak memory usage: 104 MB
% 27.08/6.17 % (3317955)Instructions burned: 119 (million)
% 27.08/6.17 % (3317957)Instruction limit reached!
% 27.08/6.17 % (3317957)------------------------------
% 27.08/6.17 % (3317957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.08/6.17 % (3317957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.08/6.17 % (3317957)CaDiCaL version: 2.1.3
% 27.08/6.17 % (3317957)Termination reason: Instruction limit
% 27.08/6.17 % (3317957)Termination phase: Preprocessing 1
% 27.08/6.17 % (3317957)Time elapsed: 0.151 s
% 27.08/6.17 % (3317957)Peak memory usage: 103 MB
% 27.08/6.17 % (3317957)Instructions burned: 129 (million)
% 27.08/6.17 % (3317965)lrs+10_1_sil=8000:sp=occurrence:random_seed=1158073619:i=285:sd=3:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/285Mi)
% 27.08/6.17 % (3317966)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4219048849:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/157Mi)
% 27.08/6.17 % (3317967)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1193951528:i=325:sd=1:ss=axioms:sgt=32_2983 on theBenchmark for (2983ds/325Mi)
% 27.08/6.17 % (3317954)------------------------------
% 27.08/6.17 % (3317954)------------------------------
% 27.08/6.17 % (3317966)Instruction limit reached!
% 27.08/6.17 % (3317966)------------------------------
% 27.08/6.17 % (3317966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.92/8.00 % (3317966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.92/8.00 % (3317966)CaDiCaL version: 2.1.3
% 38.92/8.00 % (3317966)Termination reason: Instruction limit
% 38.92/8.00 % (3317966)Termination phase: Property scanning
% 38.92/8.00 % (3317966)Time elapsed: 0.130 s
% 38.92/8.00 % (3317966)Peak memory usage: 101 MB
% 38.92/8.00 % (3317966)Instructions burned: 157 (million)
% 38.92/8.00 % (3317967)Refutation not found, incomplete strategy
% 38.92/8.00 % (3317967)------------------------------
% 38.92/8.00 % (3317967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.92/8.00 % (3317967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.92/8.00 % (3317967)CaDiCaL version: 2.1.3
% 38.92/8.00 % (3317967)Termination reason: Refutation not found, incomplete strategy
% 38.92/8.00 % (3317967)Time elapsed: 0.111 s
% 38.92/8.00 % (3317967)Peak memory usage: 106 MB
% 38.92/8.00 % (3317967)Instructions burned: 90 (million)
% 38.92/8.00 % (3317965)Instruction limit reached!
% 38.92/8.00 % (3317965)------------------------------
% 38.92/8.00 % (3317965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.92/8.00 % (3317965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.92/8.00 % (3317965)CaDiCaL version: 2.1.3
% 38.92/8.00 % (3317965)Termination reason: Instruction limit
% 38.92/8.00 % (3317965)Termination phase: Saturation
% 38.92/8.00 % (3317965)Time elapsed: 0.310 s
% 38.92/8.00 % (3317965)Peak memory usage: 109 MB
% 38.92/8.00 % (3317965)Instructions burned: 285 (million)
% 38.92/8.00 % (3317971)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=1021045291:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 38.92/8.00 % (3317972)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1487862870:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2979 on theBenchmark for (2979ds/294Mi)
% 38.92/8.00 % (3317971)Instruction limit reached!
% 38.92/8.00 % (3317971)------------------------------
% 38.92/8.00 % (3317971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.92/8.00 % (3317971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.92/8.00 % (3317971)CaDiCaL version: 2.1.3
% 38.92/8.00 % (3317971)Termination reason: Instruction limit
% 38.92/8.00 % (3317971)Termination phase: SInE selection
% 38.92/8.00 % (3317971)Time elapsed: 0.128 s
% 38.92/8.00 % (3317971)Peak memory usage: 102 MB
% 38.92/8.00 % (3317971)Instructions burned: 248 (million)
% 38.92/8.00 % (3317967)------------------------------
% 38.92/8.00 % (3317967)------------------------------
% 38.92/8.00 % (3317974)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2407191453:i=2350_2977 on theBenchmark for (2977ds/2350Mi)
% 38.92/8.00 % (3317972)Instruction limit reached!
% 38.92/8.00 % (3317972)------------------------------
% 38.92/8.00 % (3317972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.92/8.00 % (3317972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.92/8.00 % (3317972)CaDiCaL version: 2.1.3
% 38.92/8.00 % (3317972)Termination reason: Instruction limit
% 38.92/8.00 % (3317972)Termination phase: Saturation
% 38.92/8.00 % (3317972)Time elapsed: 0.301 s
% 38.92/8.00 % (3317972)Peak memory usage: 108 MB
% 38.92/8.00 % (3317972)Instructions burned: 294 (million)
% 38.92/8.00 % (3317976)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4113642628:cts=off:i=113:fsr=off:ss=included:sgt=4_2975 on theBenchmark for (2975ds/113Mi)
% 38.92/8.00 % (3317976)Instruction limit reached!
% 38.92/8.00 % (3317976)------------------------------
% 38.92/8.00 % (3317976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.92/8.00 % (3317976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.92/8.00 % (3317976)CaDiCaL version: 2.1.3
% 38.92/8.00 % (3317976)Termination reason: Instruction limit
% 38.92/8.00 % (3317976)Termination phase: Preprocessing 3
% 38.92/8.00 % (3317976)Time elapsed: 0.089 s
% 38.92/8.00 % (3317976)Peak memory usage: 105 MB
% 38.92/8.00 % (3317976)Instructions burned: 115 (million)
% 38.92/8.00 % (3317977)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3339006987:i=127:av=off:fsr=off:sup=off_2974 on theBenchmark for (2974ds/127Mi)
% 38.92/8.00 % (3317977)Instruction limit reached!
% 38.92/8.00 % (3317977)------------------------------
% 38.92/8.00 % (3317977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.73/11.32 % (3317977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.73/11.32 % (3317977)CaDiCaL version: 2.1.3
% 63.73/11.32 % (3317977)Termination reason: Instruction limit
% 63.73/11.32 % (3317977)Termination phase: Preprocessing 2
% 63.73/11.32 % (3317977)Time elapsed: 0.161 s
% 63.73/11.32 % (3317977)Peak memory usage: 106 MB
% 63.73/11.32 % (3317977)Instructions burned: 127 (million)
% 63.73/11.32 % (3317980)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2304743042:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2973 on theBenchmark for (2973ds/114Mi)
% 63.73/11.32 % (3317981)lrs+10_1_sil=8000:sp=occurrence:random_seed=3895643914:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2972 on theBenchmark for (2972ds/907Mi)
% 63.73/11.32 % (3317980)Instruction limit reached!
% 63.73/11.32 % (3317980)------------------------------
% 63.73/11.32 % (3317980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.73/11.32 % (3317980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.73/11.32 % (3317980)CaDiCaL version: 2.1.3
% 63.73/11.32 % (3317980)Termination reason: Instruction limit
% 63.73/11.32 % (3317980)Termination phase: Property scanning
% 63.73/11.32 % (3317980)Time elapsed: 0.095 s
% 63.73/11.32 % (3317980)Peak memory usage: 101 MB
% 63.73/11.32 % (3317980)Instructions burned: 115 (million)
% 63.73/11.32 % (3317983)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2499266207:i=437:sd=1:aac=none:ss=included_2970 on theBenchmark for (2970ds/437Mi)
% 63.73/11.32 % (3317986)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=657056607:i=5202:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/5202Mi)
% 63.73/11.32 % (3317983)Instruction limit reached!
% 63.73/11.32 % (3317983)------------------------------
% 63.73/11.32 % (3317983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.73/11.32 % (3317983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.73/11.32 % (3317983)CaDiCaL version: 2.1.3
% 63.73/11.32 % (3317983)Termination reason: Instruction limit
% 63.73/11.32 % (3317983)Termination phase: Saturation
% 63.73/11.32 % (3317983)Time elapsed: 0.233 s
% 63.73/11.32 % (3317983)Peak memory usage: 108 MB
% 63.73/11.32 % (3317983)Instructions burned: 438 (million)
% 63.73/11.32 % (3317989)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1584774144:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2965 on theBenchmark for (2965ds/134Mi)
% 63.73/11.32 % (3317981)Instruction limit reached!
% 63.73/11.32 % (3317981)------------------------------
% 63.73/11.32 % (3317981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.73/11.32 % (3317981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.73/11.32 % (3317981)CaDiCaL version: 2.1.3
% 63.73/11.32 % (3317981)Termination reason: Instruction limit
% 63.73/11.32 % (3317981)Termination phase: Saturation
% 63.73/11.32 % (3317981)Time elapsed: 0.869 s
% 63.73/11.32 % (3317981)Peak memory usage: 119 MB
% 63.73/11.32 % (3317981)Instructions burned: 907 (million)
% 63.73/11.32 % (3317989)Instruction limit reached!
% 63.73/11.32 % (3317989)------------------------------
% 63.73/11.32 % (3317989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.73/11.32 % (3317989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.73/11.32 % (3317989)CaDiCaL version: 2.1.3
% 63.73/11.32 % (3317989)Termination reason: Instruction limit
% 63.73/11.32 % (3317989)Termination phase: Property scanning
% 63.73/11.32 % (3317989)Time elapsed: 0.154 s
% 63.73/11.32 % (3317989)Peak memory usage: 105 MB
% 63.73/11.32 % (3317989)Instructions burned: 134 (million)
% 63.73/11.32 % (3317991)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=490209457:st=8:i=592:sd=3:ep=RST:ss=axioms_2960 on theBenchmark for (2960ds/592Mi)
% 63.73/11.32 % (3317992)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1612893661:st=3:i=13193:sd=3:ss=axioms_2960 on theBenchmark for (2960ds/13193Mi)
% 63.73/11.32 % (3317991)Instruction limit reached!
% 63.73/11.32 % (3317991)------------------------------
% 63.73/11.32 % (3317991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.73/11.32 % (3317991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.73/11.32 % (3317991)CaDiCaL version: 2.1.3
% 63.73/11.32 % (3317991)Termination reason: Instruction limit
% 63.73/11.32 % (3317991)Termination phase: Property scanning
% 63.73/11.32 % (3317991)Time elapsed: 0.637 s
% 63.73/11.32 % (3317991)Peak memory usage: 124 MB
% 63.73/11.32 % (3317991)Instructions burned: 592 (million)
% 34.45/11.46 % (3317974)Instruction limit reached!
% 34.45/11.46 % (3317974)------------------------------
% 34.45/11.46 % (3317974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3317974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3317974)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3317974)Termination reason: Instruction limit
% 34.45/11.46 % (3317974)Termination phase: Saturation
% 34.45/11.46 % (3317974)Time elapsed: 2.447 s
% 34.45/11.46 % (3317974)Peak memory usage: 229 MB
% 34.45/11.46 % (3317974)Instructions burned: 2350 (million)
% 34.45/11.46 % (3317995)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=2694672990:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2951 on theBenchmark for (2951ds/125Mi)
% 34.45/11.46 % (3317995)Instruction limit reached!
% 34.45/11.46 % (3317995)------------------------------
% 34.45/11.46 % (3317995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3317995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3317995)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3317995)Termination reason: Instruction limit
% 34.45/11.46 % (3317995)Termination phase: Property scanning
% 34.45/11.46 % (3317995)Time elapsed: 0.103 s
% 34.45/11.46 % (3317995)Peak memory usage: 101 MB
% 34.45/11.46 % (3317995)Instructions burned: 125 (million)
% 34.45/11.46 % (3317996)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4109702931:i=134:gtgl=5:slsql=off:gtg=exists_sym_2949 on theBenchmark for (2949ds/134Mi)
% 34.45/11.46 % (3317996)Instruction limit reached!
% 34.45/11.46 % (3317996)------------------------------
% 34.45/11.46 % (3317996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3317996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3317996)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3317996)Termination reason: Instruction limit
% 34.45/11.46 % (3317996)Termination phase: Property scanning
% 34.45/11.46 % (3317996)Time elapsed: 0.111 s
% 34.45/11.46 % (3317996)Peak memory usage: 101 MB
% 34.45/11.46 % (3317996)Instructions burned: 134 (million)
% 34.45/11.46 % (3317998)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4242443197:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2947 on theBenchmark for (2947ds/141Mi)
% 34.45/11.46 % (3317998)Instruction limit reached!
% 34.45/11.46 % (3317998)------------------------------
% 34.45/11.46 % (3317998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3317998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3317998)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3317998)Termination reason: Instruction limit
% 34.45/11.46 % (3317998)Termination phase: Saturation
% 34.45/11.46 % (3317998)Time elapsed: 0.148 s
% 34.45/11.46 % (3317998)Peak memory usage: 106 MB
% 34.45/11.46 % (3317998)Instructions burned: 141 (million)
% 34.45/11.46 % (3318000)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2924343439:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2945 on theBenchmark for (2945ds/431Mi)
% 34.45/11.46 % (3318000)Refutation not found, incomplete strategy
% 34.45/11.46 % (3318000)------------------------------
% 34.45/11.46 % (3318000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3318000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3318000)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3318000)Termination reason: Refutation not found, incomplete strategy
% 34.45/11.46 % (3318000)Time elapsed: 0.105 s
% 34.45/11.46 % (3318000)Peak memory usage: 106 MB
% 34.45/11.46 % (3318000)Instructions burned: 77 (million)
% 34.45/11.46 % (3318002)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=1944619304:i=6060:aac=none:ins=25_2942 on theBenchmark for (2942ds/6060Mi)
% 34.45/11.46 % (3318000)------------------------------
% 34.45/11.46 % (3318000)------------------------------
% 34.45/11.46 % (3318005)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=2011239990:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2936 on theBenchmark for (2936ds/150Mi)
% 34.45/11.46 % (3318005)Instruction limit reached!
% 34.45/11.46 % (3318005)------------------------------
% 34.45/11.46 % (3318005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3318005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3318005)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3318005)Termination reason: Instruction limit
% 34.45/11.46 % (3318005)Termination phase: Preprocessing 1
% 34.45/11.46 % (3318005)Time elapsed: 0.156 s
% 34.45/11.46 % (3318005)Peak memory usage: 102 MB
% 34.45/11.46 % (3318005)Instructions burned: 150 (million)
% 34.45/11.46 % (3318007)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4223109621:i=14155:bd=all_2933 on theBenchmark for (2933ds/14155Mi)
% 34.45/11.46 % (3317986)Instruction limit reached!
% 34.45/11.46 % (3317986)------------------------------
% 34.45/11.46 % (3317986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3317986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3317986)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3317986)Termination reason: Instruction limit
% 34.45/11.46 % (3317986)Termination phase: Saturation
% 34.45/11.46 % (3317986)Time elapsed: 5.601 s
% 34.45/11.46 % (3317986)Peak memory usage: 437 MB
% 34.45/11.46 % (3317986)Instructions burned: 5202 (million)
% 34.45/11.46 % (3318009)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1097923822:i=667:av=off:fsr=off_2909 on theBenchmark for (2909ds/667Mi)
% 34.45/11.46 % (3318002)Instruction limit reached!
% 34.45/11.46 % (3318002)------------------------------
% 34.45/11.46 % (3318002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3318002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3318002)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3318002)Termination reason: Instruction limit
% 34.45/11.46 % (3318002)Termination phase: Saturation
% 34.45/11.46 % (3318002)Time elapsed: 3.483 s
% 34.45/11.46 % (3318002)Peak memory usage: 372 MB
% 34.45/11.46 % (3318002)Instructions burned: 6061 (million)
% 34.45/11.46 % (3318011)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=406055339:s2a=on:i=185:s2at=1.8:fdi=4_2905 on theBenchmark for (2905ds/185Mi)
% 34.45/11.46 % (3317992)First to succeed.
% 34.45/11.46 % (3317992)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3317946"
% 34.45/11.46 % (3318011)Instruction limit reached!
% 34.45/11.46 % (3318011)------------------------------
% 34.45/11.46 % (3318011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3318011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3318011)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3318011)Termination reason: Instruction limit
% 34.45/11.46 % (3318011)Termination phase: Preprocessing 1
% 34.45/11.46 % (3318011)Time elapsed: 0.083 s
% 34.45/11.46 % (3318011)Peak memory usage: 102 MB
% 34.45/11.46 % (3318011)Instructions burned: 188 (million)
% 34.45/11.46 % (3318013)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2980086945:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2903 on theBenchmark for (2903ds/193Mi)
% 34.45/11.46 % (3318009)Instruction limit reached!
% 34.45/11.46 % (3318009)------------------------------
% 34.45/11.46 % (3318009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3318009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3318009)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3318009)Termination reason: Instruction limit
% 34.45/11.46 % (3318009)Termination phase: NewCNF
% 34.45/11.46 % (3318009)Time elapsed: 0.533 s
% 34.45/11.46 % (3318009)Peak memory usage: 133 MB
% 34.45/11.46 % (3318009)Instructions burned: 668 (million)
% 34.45/11.46 % (3318013)Instruction limit reached!
% 34.45/11.46 % (3318013)------------------------------
% 34.45/11.46 % (3318013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.45/11.46 % (3318013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.45/11.46 % (3318013)CaDiCaL version: 2.1.3
% 34.45/11.46 % (3318013)Termination reason: Instruction limit
% 34.45/11.46 % (3318013)Termination phase: Preprocessing 3
% 34.45/11.46 % (3318013)Time elapsed: 0.096 s
% 34.45/11.46 % (3318013)Peak memory usage: 105 MB
% 34.45/11.46 % (3318013)Instructions burned: 195 (million)
% 34.45/11.46 % (3318015)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3295831961:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2902 on theBenchmark for (2902ds/4850Mi)
% 34.45/11.46 % (3318016)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3068818812:i=12111:sd=1:ss=included_2901 on theBenchmark for (2901ds/12111Mi)
% 34.45/11.46 % (3317992)Refutation found. Thanks to Tanya!
% 34.45/11.46 % SZS status Theorem for theBenchmark
% 34.45/11.46 % SZS output start Proof for theBenchmark
% See solution above
% 65.04/11.62 % (3317992)------------------------------
% 65.04/11.62 % (3317992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.04/11.62 % (3317992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.04/11.62 % (3317992)CaDiCaL version: 2.1.3
% 65.04/11.62 % (3317992)Termination reason: Refutation
% 65.04/11.62 % (3317992)Time elapsed: 5.409 s
% 65.04/11.62 % (3317992)Peak memory usage: 270 MB
% 65.04/11.62 % (3317992)Instructions burned: 5710 (million)
% 65.04/11.62 % (3317992)------------------------------
% 65.04/11.62 % (3317992)------------------------------
% 65.04/11.62 % (3317946)Success in time 10.138 s
% 65.04/11.62 % Vampire exiting
%------------------------------------------------------------------------------