%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP632+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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:08 AM UTC 2026
% Result : Theorem 12.13s 5.16s
% Output : Refutation 26.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 52
% Syntax : Number of formulae : 572 ( 65 unt; 22 def)
% Number of atoms : 2574 ( 326 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 3558 (1556 ~;1731 |; 177 &)
% ( 35 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 23 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 2 con; 0-5 aty)
% Number of variables : 536 ( 0 sgn 530 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f2935,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f2937,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f6422,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f7349,axiom,
! [X0] :
( l1_group_1(X0)
=> ( ( ~ v3_struct_0(X0)
& v3_group_1(X0) )
=> ( ~ v3_struct_0(X0)
& v2_group_1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_group_1) ).
fof(f7364,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ( v2_group_1(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( X1 = k2_group_1(X0)
<=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_1) ).
fof(f7368,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_group_1) ).
fof(f7374,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_group_1) ).
fof(f7466,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f7470,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f7471,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f8753,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> m1_subset_1(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_group_2) ).
fof(f8898,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
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(f12869,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_autgroup) ).
fof(f12870,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k4_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_autgroup) ).
fof(f12871,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_autgroup) ).
fof(f12872,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_autgroup) ).
fof(f12887,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ! [X4] :
( m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ( ( X1 = X3
& X2 = X4 )
=> k1_group_1(k3_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_autgroup) ).
fof(f12888,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_autgroup) ).
fof(f12892,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_autgroup) ).
fof(f12894,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_autgroup) ).
fof(f12898,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& v1_group_3(X1,k3_autgroup(X0))
& m1_group_2(X1,k3_autgroup(X0)) )
=> ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_autgroup) ).
fof(f12900,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
=> ! [X3] :
( m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ! [X4] :
( m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
=> ( ( X1 = X3
& X2 = X4 )
=> k1_group_1(k5_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_autgroup) ).
fof(f12901,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_autgroup) ).
fof(f12904,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_autgroup) ).
fof(f12905,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_autgroup) ).
fof(f12910,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_autgroup) ).
fof(f12911,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),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_autgroup) ).
fof(f12912,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),k4_autgroup(X0))
=> ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) = X1
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) = X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f12911]) ).
fof(f12952,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(f12953,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,[],[f12952]) ).
fof(f12956,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_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,[],[f12869]) ).
fof(f12957,plain,
! [X0] :
( ( ~ v3_struct_0(k3_autgroup(X0))
& v1_group_1(k3_autgroup(X0))
& v3_group_1(k3_autgroup(X0))
& v4_group_1(k3_autgroup(X0))
& l1_group_1(k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12956]) ).
fof(f12958,plain,
! [X0] :
( m1_fraenkel(k4_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,[],[f12870]) ).
fof(f12959,plain,
! [X0] :
( m1_fraenkel(k4_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,[],[f12958]) ).
fof(f12960,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_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,[],[f12871]) ).
fof(f12961,plain,
! [X0] :
( ( v1_group_1(k5_autgroup(X0))
& v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
& m1_group_2(k5_autgroup(X0),k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12960]) ).
fof(f12962,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f12872]) ).
fof(f12963,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f12962]) ).
fof(f12990,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_group_1(k3_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k3_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,[],[f12887]) ).
fof(f12991,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_group_1(k3_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0))) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12990]) ).
fof(f12992,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_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,[],[f12888]) ).
fof(f12993,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f12992]) ).
fof(f13000,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_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,[],[f12892]) ).
fof(f13001,plain,
! [X0] :
( ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13000]) ).
fof(f13004,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1)
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_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,[],[f12894]) ).
fof(f13005,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_binop_1(k2_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1)
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13004]) ).
fof(f13012,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_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,[],[f12898]) ).
fof(f13013,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_autgroup(X0)
<=> u1_struct_0(X1) = k4_autgroup(X0) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13012]) ).
fof(f13014,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_group_1(k5_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k5_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,[],[f12900]) ).
fof(f13015,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k1_group_1(k5_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X0))) )
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0))) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13014]) ).
fof(f13016,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_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,[],[f12901]) ).
fof(f13017,plain,
! [X0] :
( k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13016]) ).
fof(f13022,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,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,[],[f12904]) ).
fof(f13023,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,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,[],[f13022]) ).
fof(f13024,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(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,[],[f12905]) ).
fof(f13025,plain,
! [X0] :
( k6_autgroup(X0,k2_group_1(X0)) = k6_partfun1(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,[],[f13024]) ).
fof(f13034,plain,
! [X0] :
( ! [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) )
| ~ m1_subset_1(X1,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,[],[f12910]) ).
fof(f13035,plain,
! [X0] :
( ! [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),k6_autgroup(X0,X1)) = k6_autgroup(X0,X1)
& k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0))) = k6_autgroup(X0,X1) )
| ~ m1_subset_1(X1,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,[],[f13034]) ).
fof(f13036,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_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,[],[f12912]) ).
fof(f13037,plain,
? [X0] :
( ? [X1] :
( ( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,k2_group_1(X0)),X1) != X1
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X1,k6_autgroup(X0,k2_group_1(X0))) != X1 )
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f13036]) ).
fof(f13039,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(f13040,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,[],[f13039]) ).
fof(f13043,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f2935]) ).
fof(f13044,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
| ~ m2_fraenkel(X3,X0,X1,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f13043]) ).
fof(f13073,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8898]) ).
fof(f13074,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13073]) ).
fof(f13081,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f8753]) ).
fof(f13082,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13081]) ).
fof(f13384,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(f13385,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,[],[f13384]) ).
fof(f13440,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7470]) ).
fof(f13441,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13440]) ).
fof(f13454,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f7471]) ).
fof(f13455,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f13454]) ).
fof(f13480,plain,
! [X0] :
( k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7374]) ).
fof(f13481,plain,
! [X0] :
( k3_group_1(X0,k2_group_1(X0)) = k2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13480]) ).
fof(f13484,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7368]) ).
fof(f13485,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_group_1(X0,X1)
<=> ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f13484]) ).
fof(f14481,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7466]) ).
fof(f14490,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6422]) ).
fof(f14491,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f14490]) ).
fof(f14835,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_group_1(X0)
<=> ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7364]) ).
fof(f14836,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_group_1(X0)
<=> ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14835]) ).
fof(f14839,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_group_1(X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f7349]) ).
fof(f14840,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_group_1(X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f14839]) ).
fof(f16195,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_autgroup(X0)
| u1_struct_0(X1) != k4_autgroup(X0) )
& ( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1 ) )
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f13013]) ).
fof(f16199,plain,
( ( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33)
| sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32))) )
& m2_fraenkel(sK33,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
& ~ v3_struct_0(sK32)
& v1_group_1(sK32)
& v3_group_1(sK32)
& v4_group_1(sK32)
& l1_group_1(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33]),skolemize(X0,sK32),skolemize(X1,sK33)],[f13037]) ).
fof(f16200,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,[],[f13040]) ).
fof(f16323,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_group_1(X0,X1)
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| k1_group_1(X0,X2,X1) != k2_group_1(X0) )
& ( ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) )
| k3_group_1(X0,X1) != X2 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f13485]) ).
fof(f16324,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_group_1(X0,X1)
| k1_group_1(X0,X1,X2) != k2_group_1(X0)
| k1_group_1(X0,X2,X1) != k2_group_1(X0) )
& ( ( k1_group_1(X0,X1,X2) = k2_group_1(X0)
& k1_group_1(X0,X2,X1) = k2_group_1(X0) )
| k3_group_1(X0,X1) != X2 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f16323]) ).
fof(f16430,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(f16777,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_group_1(X0)
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2 )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ( k1_group_1(X0,X2,X1) = X2
& k1_group_1(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| k2_group_1(X0) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f14836]) ).
fof(f16778,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_group_1(X0)
| ? [X2] :
( ( k1_group_1(X0,X2,X1) != X2
| k1_group_1(X0,X1,X2) != X2 )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ( k1_group_1(X0,X3,X1) = X3
& k1_group_1(X0,X1,X3) = X3 )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| k2_group_1(X0) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f16777]) ).
fof(f16779,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_group_1(X0)
| ( ( sK418(X0,X1) != k1_group_1(X0,sK418(X0,X1),X1)
| sK418(X0,X1) != k1_group_1(X0,X1,sK418(X0,X1)) )
& m1_subset_1(sK418(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X3] :
( ( k1_group_1(X0,X3,X1) = X3
& k1_group_1(X0,X1,X3) = X3 )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| k2_group_1(X0) != X1 ) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK418]),skolemize(X2,sK418(X0,X1))],[f16778]) ).
fof(f17160,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12953]) ).
fof(f17164,plain,
! [X0] :
( l1_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12957]) ).
fof(f17166,plain,
! [X0] :
( v3_group_1(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12957]) ).
fof(f17168,plain,
! [X0] :
( ~ v3_struct_0(k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12957]) ).
fof(f17169,plain,
! [X0] :
( m1_fraenkel(k4_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,[],[f12959]) ).
fof(f17170,plain,
! [X0] :
( m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12961]) ).
fof(f17171,plain,
! [X0] :
( v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12961]) ).
fof(f17172,plain,
! [X0] :
( v1_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12961]) ).
fof(f17173,plain,
! [X0,X1] :
( m2_fraenkel(k6_autgroup(X0,X1),u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f12963]) ).
fof(f17225,plain,
! [X2,X3,X0,X1,X4] :
( k1_group_1(k3_autgroup(X0),X1,X2) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k3_autgroup(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12991]) ).
fof(f17226,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k2_group_1(k3_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f12993]) ).
fof(f17238,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13001]) ).
fof(f17240,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X2,X1) = k1_binop_1(k2_autgroup(X0),X1,X2)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13005]) ).
fof(f17244,plain,
! [X0,X1] :
( u1_struct_0(X1) = k4_autgroup(X0)
| k5_autgroup(X0) != X1
| ~ v1_group_1(X1)
| ~ v1_group_3(X1,k3_autgroup(X0))
| ~ m1_group_2(X1,k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f16195]) ).
fof(f17246,plain,
! [X2,X3,X0,X1,X4] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k5_autgroup(X0),X1,X2)
| X1 != X3
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13015]) ).
fof(f17247,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k2_group_1(k5_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13017]) ).
fof(f17252,plain,
! [X2,X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_autgroup(X0,k1_group_1(X0,X1,X2)) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,X2))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13023]) ).
fof(f17253,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_partfun1(u1_struct_0(X0)) = k6_autgroup(X0,k2_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13025]) ).
fof(f17258,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k6_autgroup(X0,X1) = k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),k6_autgroup(X0,X1),k6_autgroup(X0,k2_group_1(X0)))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13035]) ).
fof(f17260,plain,
l1_group_1(sK32),
inference(cnf_transformation,[],[f16199]) ).
fof(f17261,plain,
v4_group_1(sK32),
inference(cnf_transformation,[],[f16199]) ).
fof(f17262,plain,
v3_group_1(sK32),
inference(cnf_transformation,[],[f16199]) ).
fof(f17263,plain,
v1_group_1(sK32),
inference(cnf_transformation,[],[f16199]) ).
fof(f17264,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f16199]) ).
fof(f17265,plain,
m2_fraenkel(sK33,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)),
inference(cnf_transformation,[],[f16199]) ).
fof(f17266,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33)
| sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32))) ),
inference(cnf_transformation,[],[f16199]) ).
fof(f17268,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| m1_subset_1(X3,X2) ),
inference(cnf_transformation,[],[f16200]) ).
fof(f17271,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f13044]) ).
fof(f17272,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| v1_funct_2(X3,X0,X1) ),
inference(cnf_transformation,[],[f13044]) ).
fof(f17273,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| v1_funct_1(X3) ),
inference(cnf_transformation,[],[f13044]) ).
fof(f17317,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| l1_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13074]) ).
fof(f17318,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| v3_group_1(X1)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13074]) ).
fof(f17319,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13074]) ).
fof(f17323,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13082]) ).
fof(f17731,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_1(X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m1_relset_1(X3,X0,X1)
| k5_relat_1(X3,X4) = k7_funct_2(X0,X1,X2,X3,X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2) ),
inference(cnf_transformation,[],[f13385]) ).
fof(f17807,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13441]) ).
fof(f17836,plain,
! [X0,X1] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f13455]) ).
fof(f17857,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| k2_group_1(X0) = k3_group_1(X0,k2_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f13481]) ).
fof(f17860,plain,
! [X2,X0,X1] :
( k1_group_1(X0,X1,X2) = k2_group_1(X0)
| k3_group_1(X0,X1) != X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f16324]) ).
fof(f18358,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f16430]) ).
fof(f19204,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14481]) ).
fof(f19215,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f14491]) ).
fof(f19725,plain,
! [X3,X0,X1] :
( k1_group_1(X0,X1,X3) = X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_group_1(X0) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f16779]) ).
fof(f19726,plain,
! [X3,X0,X1] :
( k1_group_1(X0,X3,X1) = X3
| ~ m1_subset_1(X3,u1_struct_0(X0))
| k2_group_1(X0) != X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v2_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f16779]) ).
fof(f19747,plain,
! [X0] :
( v2_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f14840]) ).
fof(f22432,plain,
! [X2,X3,X0,X4] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k3_autgroup(X0),X3,X2)
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k3_autgroup(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f17225]) ).
fof(f22433,plain,
! [X3,X0,X4] :
( ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k3_autgroup(X0),X3,X4)
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_subset_1(X4,u1_struct_0(k3_autgroup(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k3_autgroup(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f22432]) ).
fof(f22439,plain,
! [X0] :
( ~ v1_group_3(k5_autgroup(X0),k3_autgroup(X0))
| ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f17244]) ).
fof(f22440,plain,
! [X2,X3,X0,X4] :
( k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k5_autgroup(X0),X3,X2)
| X2 != X4
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X2,u1_struct_0(k5_autgroup(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k5_autgroup(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f17246]) ).
fof(f22441,plain,
! [X3,X0,X4] :
( ~ v4_group_1(X0)
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),k4_autgroup(X0))
| ~ m1_subset_1(X4,u1_struct_0(k5_autgroup(X0)))
| ~ m1_subset_1(X3,u1_struct_0(k5_autgroup(X0)))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k7_funct_2(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),X4,X3) = k1_group_1(k5_autgroup(X0),X3,X4)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f22440]) ).
fof(f22509,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| k2_group_1(X0) = k1_group_1(X0,X1,k3_group_1(X0,X1))
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f17860]) ).
fof(f22680,plain,
! [X3,X0] :
( ~ v2_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,X3,k2_group_1(X0)) = X3
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f19726]) ).
fof(f22681,plain,
! [X3,X0] :
( ~ v2_group_1(X0)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X3) = X3
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f19725]) ).
fof(f23117,definition,
( spl618_20
<=> sK33 = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32))) ),
introduced(definition,[new_symbols(definition,[spl618_20])],[avatar_definition]) ).
fof(f23118,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32)))
| spl618_20 ),
inference(avatar_component_clause,[],[f23117]) ).
fof(f23120,definition,
( spl618_21
<=> sK33 = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33) ),
introduced(definition,[new_symbols(definition,[spl618_21])],[avatar_definition]) ).
fof(f23121,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33)
| spl618_21 ),
inference(avatar_component_clause,[],[f23120]) ).
fof(f23122,plain,
( ~ spl618_20
| ~ spl618_21 ),
inference(avatar_split_clause,[],[f17266,f23120,f23117]) ).
fof(f23254,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_autgroup(sK32,X0) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),k6_autgroup(sK32,k2_group_1(sK32)))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17261,f17258]) ).
fof(f23255,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_autgroup(sK32,k2_group_1(sK32)) = k6_partfun1(u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17253,f17261]) ).
fof(f23258,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17247,f17261]) ).
fof(f23259,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| ~ m1_subset_1(X1,u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_autgroup(sK32,k1_group_1(sK32,X1,X0)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X1),k6_autgroup(sK32,X0))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17252,f17261]) ).
fof(f23260,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k3_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17226,f17261]) ).
fof(f23261,plain,
! [X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(sK32)))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_group_1(k5_autgroup(sK32),X1,X0)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f22441,f17261]) ).
fof(f23262,plain,
! [X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_binop_1(k2_autgroup(sK32),X1,X0)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17240,f17261]) ).
fof(f23263,plain,
( v3_struct_0(sK32)
| ~ v3_group_1(sK32)
| k2_group_1(sK32) = k3_group_1(sK32,k2_group_1(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17857,f17261]) ).
fof(f23267,plain,
! [X0] :
( ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f22439,f17171]) ).
fof(f23268,plain,
! [X0] :
( ~ v1_group_1(k5_autgroup(X0))
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(duplicate_literal_removal,[],[f23267]) ).
fof(f23269,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17238,f17261]) ).
fof(f23270,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17273,f17169]) ).
fof(f23273,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17272,f17169]) ).
fof(f23275,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| m1_subset_1(X0,k4_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17268,f17169]) ).
fof(f23276,plain,
! [X0,X1] :
( ~ v4_group_1(X1)
| v1_xboole_0(u1_struct_0(X1))
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_fraenkel(X0,u1_struct_0(X1),u1_struct_0(X1),k4_autgroup(X1))
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17271,f17169]) ).
fof(f23289,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| m1_fraenkel(k1_autgroup(sK32),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f17160,f17261]) ).
fof(f23298,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_autgroup(sK32,X0) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),k6_autgroup(sK32,k2_group_1(sK32)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23254,f17264]) ).
fof(f23300,plain,
( ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_autgroup(sK32,k2_group_1(sK32)) = k6_partfun1(u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23255,f17264]) ).
fof(f23303,plain,
( ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23258,f17264]) ).
fof(f23304,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| ~ m1_subset_1(X1,u1_struct_0(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_autgroup(sK32,k1_group_1(sK32,X1,X0)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X1),k6_autgroup(sK32,X0))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23259,f17264]) ).
fof(f23305,plain,
( ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k3_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23260,f17264]) ).
fof(f23306,plain,
! [X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(sK32)))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_group_1(k5_autgroup(sK32),X1,X0)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23261,f17264]) ).
fof(f23307,plain,
! [X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_binop_1(k2_autgroup(sK32),X1,X0)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23262,f17264]) ).
fof(f23308,plain,
( ~ v3_group_1(sK32)
| k2_group_1(sK32) = k3_group_1(sK32,k2_group_1(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23263,f17264]) ).
fof(f23311,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23269,f17264]) ).
fof(f23316,plain,
( ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| m1_fraenkel(k1_autgroup(sK32),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23289,f17264]) ).
fof(f23318,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| ~ v3_group_1(sK32)
| k6_autgroup(sK32,X0) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),k6_autgroup(sK32,k2_group_1(sK32)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23298,f17263]) ).
fof(f23320,plain,
( ~ v3_group_1(sK32)
| k6_autgroup(sK32,k2_group_1(sK32)) = k6_partfun1(u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23300,f17263]) ).
fof(f23323,plain,
( ~ v3_group_1(sK32)
| k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23303,f17263]) ).
fof(f23324,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| ~ m1_subset_1(X1,u1_struct_0(sK32))
| ~ v3_group_1(sK32)
| k6_autgroup(sK32,k1_group_1(sK32,X1,X0)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X1),k6_autgroup(sK32,X0))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23304,f17263]) ).
fof(f23325,plain,
( ~ v3_group_1(sK32)
| k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k3_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23305,f17263]) ).
fof(f23326,plain,
! [X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(sK32)))
| ~ v3_group_1(sK32)
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_group_1(k5_autgroup(sK32),X1,X0)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23306,f17263]) ).
fof(f23327,plain,
! [X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ v3_group_1(sK32)
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_binop_1(k2_autgroup(sK32),X1,X0)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23307,f17263]) ).
fof(f23328,plain,
( k2_group_1(sK32) = k3_group_1(sK32,k2_group_1(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23308,f17262]) ).
fof(f23331,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ v3_group_1(sK32)
| m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23311,f17263]) ).
fof(f23336,plain,
( ~ v3_group_1(sK32)
| m1_fraenkel(k1_autgroup(sK32),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23316,f17263]) ).
fof(f23338,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k6_autgroup(sK32,X0) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),k6_autgroup(sK32,k2_group_1(sK32)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23318,f17262]) ).
fof(f23340,plain,
( k6_autgroup(sK32,k2_group_1(sK32)) = k6_partfun1(u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23320,f17262]) ).
fof(f23343,plain,
( k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23323,f17262]) ).
fof(f23344,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| ~ m1_subset_1(X1,u1_struct_0(sK32))
| k6_autgroup(sK32,k1_group_1(sK32,X1,X0)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X1),k6_autgroup(sK32,X0))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23324,f17262]) ).
fof(f23345,plain,
( k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k3_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23325,f17262]) ).
fof(f23346,plain,
! [X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(sK32)))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_group_1(k5_autgroup(sK32),X1,X0)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23326,f17262]) ).
fof(f23347,plain,
! [X0,X1] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_binop_1(k2_autgroup(sK32),X1,X0)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23327,f17262]) ).
fof(f23348,plain,
k2_group_1(sK32) = k3_group_1(sK32,k2_group_1(sK32)),
inference(forward_subsumption_resolution,[],[f23328,f17260]) ).
fof(f23351,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23331,f17262]) ).
fof(f23356,plain,
( m1_fraenkel(k1_autgroup(sK32),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23336,f17262]) ).
fof(f23358,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k6_autgroup(sK32,X0) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),k6_autgroup(sK32,k2_group_1(sK32))) ),
inference(forward_subsumption_resolution,[],[f23338,f17260]) ).
fof(f23360,plain,
k6_autgroup(sK32,k2_group_1(sK32)) = k6_partfun1(u1_struct_0(sK32)),
inference(forward_subsumption_resolution,[],[f23340,f17260]) ).
fof(f23363,plain,
k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k5_autgroup(sK32)),
inference(forward_subsumption_resolution,[],[f23343,f17260]) ).
fof(f23364,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK32))
| ~ m1_subset_1(X0,u1_struct_0(sK32))
| k6_autgroup(sK32,k1_group_1(sK32,X1,X0)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X1),k6_autgroup(sK32,X0)) ),
inference(forward_subsumption_resolution,[],[f23344,f17260]) ).
fof(f23365,plain,
k6_partfun1(u1_struct_0(sK32)) = k2_group_1(k3_autgroup(sK32)),
inference(forward_subsumption_resolution,[],[f23345,f17260]) ).
fof(f23366,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(k5_autgroup(sK32)))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_group_1(k5_autgroup(sK32),X1,X0) ),
inference(forward_subsumption_resolution,[],[f23346,f17260]) ).
fof(f23367,plain,
! [X0,X1] :
( ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,X1) = k1_binop_1(k2_autgroup(sK32),X1,X0) ),
inference(forward_subsumption_resolution,[],[f23347,f17260]) ).
fof(f23368,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f23351,f17260]) ).
fof(f23372,plain,
m1_fraenkel(k1_autgroup(sK32),u1_struct_0(sK32),u1_struct_0(sK32)),
inference(forward_subsumption_resolution,[],[f23356,f17260]) ).
fof(f23378,plain,
( k6_autgroup(sK32,k2_group_1(sK32)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),k6_autgroup(sK32,k2_group_1(sK32)))
| v3_struct_0(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23358,f17807]) ).
fof(f23379,plain,
( k6_autgroup(sK32,k2_group_1(sK32)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),k6_autgroup(sK32,k2_group_1(sK32)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23378,f17264]) ).
fof(f23380,plain,
k6_autgroup(sK32,k2_group_1(sK32)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),k6_autgroup(sK32,k2_group_1(sK32))),
inference(forward_subsumption_resolution,[],[f23379,f17260]) ).
fof(f23381,plain,
k6_partfun1(u1_struct_0(sK32)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_partfun1(u1_struct_0(sK32)),k6_partfun1(u1_struct_0(sK32))),
inference(forward_demodulation,[],[f23380,f23360]) ).
fof(f23382,plain,
k2_group_1(k5_autgroup(sK32)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),k2_group_1(k5_autgroup(sK32))),
inference(forward_demodulation,[],[f23381,f23363]) ).
fof(f23388,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_partfun1(u1_struct_0(sK32)))
| spl618_20 ),
inference(superposition,[],[f23118,f23360]) ).
fof(f23391,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k2_group_1(k5_autgroup(sK32)))
| spl618_20 ),
inference(forward_demodulation,[],[f23388,f23363]) ).
fof(f23411,definition,
( spl618_27
<=> v3_struct_0(k5_autgroup(sK32)) ),
introduced(definition,[new_symbols(definition,[spl618_27])],[avatar_definition]) ).
fof(f23412,plain,
( v3_struct_0(k5_autgroup(sK32))
| ~ spl618_27 ),
inference(avatar_component_clause,[],[f23411]) ).
fof(f23420,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),k6_autgroup(sK32,X0)) = k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),X0))
| v3_struct_0(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23364,f17807]) ).
fof(f23421,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),k6_autgroup(sK32,X0)) = k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),X0))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23420,f17264]) ).
fof(f23422,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),k6_autgroup(sK32,X0)) = k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),X0)) ),
inference(forward_subsumption_resolution,[],[f23421,f17260]) ).
fof(f23423,plain,
! [X0] :
( k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),X0)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_partfun1(u1_struct_0(sK32)),k6_autgroup(sK32,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_demodulation,[],[f23422,f23360]) ).
fof(f23424,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),X0)) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),k6_autgroup(sK32,X0)) ),
inference(forward_demodulation,[],[f23423,f23363]) ).
fof(f23426,plain,
k2_group_1(k5_autgroup(sK32)) = k2_group_1(k3_autgroup(sK32)),
inference(superposition,[],[f23363,f23365]) ).
fof(f23428,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| spl618_20 ),
inference(superposition,[],[f23391,f23426]) ).
fof(f23433,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| v1_xboole_0(u1_struct_0(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32)) ),
inference(resolution,[],[f23372,f17272]) ).
fof(f23437,definition,
( spl618_30
<=> v1_xboole_0(u1_struct_0(sK32)) ),
introduced(definition,[new_symbols(definition,[spl618_30])],[avatar_definition]) ).
fof(f23438,plain,
( v1_xboole_0(u1_struct_0(sK32))
| ~ spl618_30 ),
inference(avatar_component_clause,[],[f23437]) ).
fof(f23448,definition,
( spl618_33
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_33])],[avatar_definition]) ).
fof(f23449,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32)) )
| ~ spl618_33 ),
inference(avatar_component_clause,[],[f23448]) ).
fof(f23450,plain,
( spl618_30
| spl618_33 ),
inference(avatar_split_clause,[],[f23433,f23448,f23437]) ).
fof(f23459,plain,
( v3_struct_0(sK32)
| ~ l1_struct_0(sK32)
| ~ spl618_30 ),
inference(resolution,[],[f23438,f19215]) ).
fof(f23461,plain,
( ~ l1_struct_0(sK32)
| ~ spl618_30 ),
inference(forward_subsumption_resolution,[],[f23459,f17264]) ).
fof(f23463,plain,
( ~ l1_group_1(sK32)
| ~ spl618_30 ),
inference(resolution,[],[f23461,f19204]) ).
fof(f23465,plain,
( $false
| ~ spl618_30 ),
inference(forward_subsumption_resolution,[],[f23463,f17260]) ).
fof(f23466,plain,
~ spl618_30,
inference(avatar_contradiction_clause,[],[f23465]) ).
fof(f23488,definition,
( spl618_36
<=> l1_group_1(k3_autgroup(sK32)) ),
introduced(definition,[new_symbols(definition,[spl618_36])],[avatar_definition]) ).
fof(f23489,plain,
( ~ l1_group_1(k3_autgroup(sK32))
| spl618_36 ),
inference(avatar_component_clause,[],[f23488]) ).
fof(f23497,definition,
( spl618_39
<=> v3_struct_0(k3_autgroup(sK32)) ),
introduced(definition,[new_symbols(definition,[spl618_39])],[avatar_definition]) ).
fof(f23498,plain,
( v3_struct_0(k3_autgroup(sK32))
| ~ spl618_39 ),
inference(avatar_component_clause,[],[f23497]) ).
fof(f23579,plain,
( $false
| spl618_36 ),
inference(unit_resulting_resolution,[],[f17164,f17260,f17261,f17262,f17263,f17264,f23489]) ).
fof(f23581,plain,
spl618_36,
inference(avatar_contradiction_clause,[],[f23579]) ).
fof(f23582,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X0,sK33) = k1_binop_1(k2_autgroup(sK32),sK33,X0) ),
inference(resolution,[],[f23367,f17265]) ).
fof(f23585,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,X0))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(resolution,[],[f23582,f17173]) ).
fof(f23589,plain,
( $false
| ~ spl618_39 ),
inference(unit_resulting_resolution,[],[f17168,f17260,f17261,f17262,f17263,f17264,f23498]) ).
fof(f23592,plain,
~ spl618_39,
inference(avatar_contradiction_clause,[],[f23589]) ).
fof(f23597,plain,
m2_fraenkel(sK33,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)),
inference(resolution,[],[f23368,f17265]) ).
fof(f23598,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(resolution,[],[f23368,f17173]) ).
fof(f23602,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k3_autgroup(sK32),X0,sK33)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23597,f22433]) ).
fof(f23611,plain,
( k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32))) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),k6_autgroup(sK32,k2_group_1(sK32)))
| v3_struct_0(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23424,f17807]) ).
fof(f23612,plain,
( k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32))) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),k6_autgroup(sK32,k2_group_1(sK32)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23611,f17264]) ).
fof(f23613,plain,
k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32))) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),k6_autgroup(sK32,k2_group_1(sK32))),
inference(forward_subsumption_resolution,[],[f23612,f17260]) ).
fof(f23614,plain,
k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32))) = k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),k6_partfun1(u1_struct_0(sK32))),
inference(forward_demodulation,[],[f23613,f23360]) ).
fof(f23615,plain,
k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),k2_group_1(k5_autgroup(sK32))) = k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32))),
inference(forward_demodulation,[],[f23614,f23363]) ).
fof(f23616,plain,
k2_group_1(k5_autgroup(sK32)) = k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32))),
inference(forward_demodulation,[],[f23615,f23382]) ).
fof(f23617,plain,
k2_group_1(k3_autgroup(sK32)) = k6_autgroup(sK32,k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32))),
inference(forward_demodulation,[],[f23616,f23426]) ).
fof(f23656,plain,
( m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),u1_struct_0(sK32)) ),
inference(superposition,[],[f17173,f23617]) ).
fof(f23678,plain,
( v1_funct_2(sK33,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_33 ),
inference(resolution,[],[f23449,f23597]) ).
fof(f23710,plain,
! [X0] :
( k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ m1_group_2(k5_autgroup(X0),k3_autgroup(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,[],[f23268,f17172]) ).
fof(f23714,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,X0))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23585,f17264]) ).
fof(f23715,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23598,f17264]) ).
fof(f23716,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k3_autgroup(sK32),X0,sK33)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23602,f17264]) ).
fof(f23721,plain,
( m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23656,f17264]) ).
fof(f23731,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| k4_autgroup(X0) = u1_struct_0(k5_autgroup(X0))
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f23710,f17170]) ).
fof(f23734,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,X0))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23714,f17263]) ).
fof(f23735,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23715,f17263]) ).
fof(f23736,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k3_autgroup(sK32),X0,sK33)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23716,f17263]) ).
fof(f23741,plain,
( m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23721,f17263]) ).
fof(f23752,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,X0))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23734,f17262]) ).
fof(f23753,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23735,f17262]) ).
fof(f23754,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k3_autgroup(sK32),X0,sK33)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23736,f17262]) ).
fof(f23759,plain,
( m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23741,f17262]) ).
fof(f23766,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,X0))
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23752,f17261]) ).
fof(f23767,plain,
! [X0] :
( m2_fraenkel(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23753,f17261]) ).
fof(f23768,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k3_autgroup(sK32),X0,sK33)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23754,f17261]) ).
fof(f23773,plain,
( m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32)
| ~ m1_subset_1(k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23759,f17261]) ).
fof(f23779,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,X0),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,X0)) ),
inference(forward_subsumption_resolution,[],[f23766,f17260]) ).
fof(f23780,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| m2_fraenkel(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f23767,f17260]) ).
fof(f23781,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k3_autgroup(sK32),X0,sK33)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32))) ),
inference(forward_subsumption_resolution,[],[f23768,f17260]) ).
fof(f23786,plain,
( m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f23773,f17260]) ).
fof(f23795,definition,
( spl618_71
<=> m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32))) ),
introduced(definition,[new_symbols(definition,[spl618_71])],[avatar_definition]) ).
fof(f23796,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| spl618_71 ),
inference(avatar_component_clause,[],[f23795]) ).
fof(f23798,definition,
( spl618_72
<=> ! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k3_autgroup(sK32),X0,sK33)
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_72])],[avatar_definition]) ).
fof(f23799,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k3_autgroup(sK32),X0,sK33) )
| ~ spl618_72 ),
inference(avatar_component_clause,[],[f23798]) ).
fof(f23800,plain,
( ~ spl618_71
| spl618_72 ),
inference(avatar_split_clause,[],[f23781,f23798,f23795]) ).
fof(f23806,definition,
( spl618_74
<=> m1_subset_1(k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),u1_struct_0(sK32)) ),
introduced(definition,[new_symbols(definition,[spl618_74])],[avatar_definition]) ).
fof(f23807,plain,
( ~ m1_subset_1(k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),u1_struct_0(sK32))
| spl618_74 ),
inference(avatar_component_clause,[],[f23806]) ).
fof(f23809,definition,
( spl618_75
<=> m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ),
introduced(definition,[new_symbols(definition,[spl618_75])],[avatar_definition]) ).
fof(f23810,plain,
( m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ spl618_75 ),
inference(avatar_component_clause,[],[f23809]) ).
fof(f23811,plain,
( ~ spl618_74
| spl618_75 ),
inference(avatar_split_clause,[],[f23786,f23809,f23806]) ).
fof(f23821,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k4_autgroup(sK32) = u1_struct_0(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23731,f17261]) ).
fof(f23827,plain,
( ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| k4_autgroup(sK32) = u1_struct_0(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23821,f17264]) ).
fof(f23828,plain,
( ~ v3_group_1(sK32)
| k4_autgroup(sK32) = u1_struct_0(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23827,f17263]) ).
fof(f23829,plain,
( k4_autgroup(sK32) = u1_struct_0(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23828,f17262]) ).
fof(f23830,plain,
k4_autgroup(sK32) = u1_struct_0(k5_autgroup(sK32)),
inference(forward_subsumption_resolution,[],[f23829,f17260]) ).
fof(f23832,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k4_autgroup(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(X0,k4_autgroup(sK32))
| ~ m2_fraenkel(X1,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),X1,X0) = k1_group_1(k5_autgroup(sK32),X0,X1) ),
inference(superposition,[],[f23366,f23830]) ).
fof(f23840,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k4_autgroup(sK32))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_group_2(k5_autgroup(sK32),X1)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(superposition,[],[f17323,f23830]) ).
fof(f23874,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32)))
| v3_struct_0(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23779,f17807]) ).
fof(f23875,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23874,f17264]) ).
fof(f23876,plain,
k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32))),
inference(forward_subsumption_resolution,[],[f23875,f17260]) ).
fof(f23877,plain,
k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_partfun1(u1_struct_0(sK32)),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k6_partfun1(u1_struct_0(sK32))),
inference(forward_demodulation,[],[f23876,f23360]) ).
fof(f23878,plain,
k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k2_group_1(k5_autgroup(sK32))),
inference(forward_demodulation,[],[f23877,f23363]) ).
fof(f23879,plain,
k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k1_binop_1(k2_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32))),
inference(forward_demodulation,[],[f23878,f23426]) ).
fof(f23959,plain,
( m2_fraenkel(k6_autgroup(sK32,k2_group_1(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| v3_struct_0(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23780,f17807]) ).
fof(f23960,plain,
( m2_fraenkel(k6_autgroup(sK32,k2_group_1(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23959,f17264]) ).
fof(f23961,plain,
m2_fraenkel(k6_autgroup(sK32,k2_group_1(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)),
inference(forward_subsumption_resolution,[],[f23960,f17260]) ).
fof(f23962,plain,
m2_fraenkel(k6_partfun1(u1_struct_0(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)),
inference(forward_demodulation,[],[f23961,f23360]) ).
fof(f23963,plain,
m2_fraenkel(k2_group_1(k5_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)),
inference(forward_demodulation,[],[f23962,f23363]) ).
fof(f23964,plain,
m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)),
inference(forward_demodulation,[],[f23963,f23426]) ).
fof(f23966,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23273,f17261]) ).
fof(f23972,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23966,f17264]) ).
fof(f23973,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23972,f17263]) ).
fof(f23974,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23973,f17262]) ).
fof(f23975,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f23974,f17260]) ).
fof(f23977,definition,
( spl618_102
<=> ! [X0] :
( v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_102])],[avatar_definition]) ).
fof(f23978,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| v1_funct_2(X0,u1_struct_0(sK32),u1_struct_0(sK32)) )
| ~ spl618_102 ),
inference(avatar_component_clause,[],[f23977]) ).
fof(f23979,plain,
( spl618_102
| spl618_30 ),
inference(avatar_split_clause,[],[f23975,f23437,f23977]) ).
fof(f23981,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_102 ),
inference(resolution,[],[f23978,f17173]) ).
fof(f23982,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_102 ),
inference(forward_subsumption_resolution,[],[f23981,f17264]) ).
fof(f23983,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_102 ),
inference(forward_subsumption_resolution,[],[f23982,f17263]) ).
fof(f23984,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_102 ),
inference(forward_subsumption_resolution,[],[f23983,f17262]) ).
fof(f23985,plain,
( ! [X0] :
( v1_funct_2(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_102 ),
inference(forward_subsumption_resolution,[],[f23984,f17261]) ).
fof(f23986,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| v1_funct_2(k6_autgroup(sK32,X0),u1_struct_0(sK32),u1_struct_0(sK32)) )
| ~ spl618_102 ),
inference(forward_subsumption_resolution,[],[f23985,f17260]) ).
fof(f23987,plain,
( v1_funct_2(k6_autgroup(sK32,k2_group_1(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_102 ),
inference(resolution,[],[f23986,f17807]) ).
fof(f23988,plain,
( v1_funct_2(k6_autgroup(sK32,k2_group_1(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ l1_group_1(sK32)
| ~ spl618_102 ),
inference(forward_subsumption_resolution,[],[f23987,f17264]) ).
fof(f23989,plain,
( v1_funct_2(k6_autgroup(sK32,k2_group_1(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_102 ),
inference(forward_subsumption_resolution,[],[f23988,f17260]) ).
fof(f23990,plain,
( v1_funct_2(k6_partfun1(u1_struct_0(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_102 ),
inference(forward_demodulation,[],[f23989,f23360]) ).
fof(f23991,plain,
( v1_funct_2(k2_group_1(k5_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_102 ),
inference(forward_demodulation,[],[f23990,f23363]) ).
fof(f23992,plain,
( v1_funct_2(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_102 ),
inference(forward_demodulation,[],[f23991,f23426]) ).
fof(f23996,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m2_relset_1(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23276,f17261]) ).
fof(f24002,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m2_relset_1(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f23996,f17264]) ).
fof(f24003,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m2_relset_1(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24002,f17263]) ).
fof(f24004,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m2_relset_1(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24003,f17262]) ).
fof(f24005,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m2_relset_1(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f24004,f17260]) ).
fof(f24007,definition,
( spl618_104
<=> ! [X0] :
( m2_relset_1(X0,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_104])],[avatar_definition]) ).
fof(f24008,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| m2_relset_1(X0,u1_struct_0(sK32),u1_struct_0(sK32)) )
| ~ spl618_104 ),
inference(avatar_component_clause,[],[f24007]) ).
fof(f24009,plain,
( spl618_104
| spl618_30 ),
inference(avatar_split_clause,[],[f24005,f23437,f24007]) ).
fof(f24010,plain,
( m2_relset_1(sK33,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_104 ),
inference(resolution,[],[f24008,f17265]) ).
fof(f24017,plain,
( m1_relset_1(sK33,u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_104 ),
inference(resolution,[],[f24010,f18358]) ).
fof(f24025,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m1_subset_1(X0,k4_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23275,f17261]) ).
fof(f24031,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m1_subset_1(X0,k4_autgroup(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24025,f17264]) ).
fof(f24032,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m1_subset_1(X0,k4_autgroup(sK32))
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24031,f17263]) ).
fof(f24033,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m1_subset_1(X0,k4_autgroup(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24032,f17262]) ).
fof(f24034,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| m1_subset_1(X0,k4_autgroup(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f24033,f17260]) ).
fof(f24036,definition,
( spl618_106
<=> ! [X0] :
( m1_subset_1(X0,k4_autgroup(sK32))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_106])],[avatar_definition]) ).
fof(f24037,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| m1_subset_1(X0,k4_autgroup(sK32)) )
| ~ spl618_106 ),
inference(avatar_component_clause,[],[f24036]) ).
fof(f24038,plain,
( spl618_106
| spl618_30 ),
inference(avatar_split_clause,[],[f24034,f23437,f24036]) ).
fof(f24039,plain,
( m1_subset_1(sK33,k4_autgroup(sK32))
| ~ spl618_106 ),
inference(resolution,[],[f24037,f17265]) ).
fof(f24040,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK32,X0),k4_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(resolution,[],[f24037,f17173]) ).
fof(f24041,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK32,X0),k4_autgroup(sK32))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24040,f17264]) ).
fof(f24042,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK32,X0),k4_autgroup(sK32))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24041,f17263]) ).
fof(f24043,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK32,X0),k4_autgroup(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24042,f17262]) ).
fof(f24044,plain,
( ! [X0] :
( m1_subset_1(k6_autgroup(sK32,X0),k4_autgroup(sK32))
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24043,f17261]) ).
fof(f24045,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| m1_subset_1(k6_autgroup(sK32,X0),k4_autgroup(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24044,f17260]) ).
fof(f24047,plain,
( ! [X0] :
( ~ m1_group_2(k5_autgroup(sK32),X0)
| m1_subset_1(sK33,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl618_106 ),
inference(resolution,[],[f24039,f23840]) ).
fof(f24048,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(X0,k4_autgroup(sK32))
| ~ m2_fraenkel(sK33,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k5_autgroup(sK32),X0,sK33) )
| ~ spl618_106 ),
inference(resolution,[],[f24039,f23832]) ).
fof(f24050,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(sK33,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k5_autgroup(sK32),X0,sK33) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24048,f24037]) ).
fof(f24052,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,X0) = k1_group_1(k5_autgroup(sK32),X0,sK33) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24050,f17265]) ).
fof(f24054,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,X0)) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,X0),sK33)
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(resolution,[],[f24052,f17173]) ).
fof(f24055,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,X0)) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,X0),sK33)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24054,f17264]) ).
fof(f24056,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,X0)) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,X0),sK33)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24055,f17263]) ).
fof(f24057,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,X0)) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,X0),sK33)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24056,f17262]) ).
fof(f24058,plain,
( ! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,X0)) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,X0),sK33)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24057,f17261]) ).
fof(f24059,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,X0)) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,X0),sK33) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24058,f17260]) ).
fof(f24063,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32))) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33)
| v3_struct_0(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(resolution,[],[f24059,f17807]) ).
fof(f24064,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32))) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24063,f17264]) ).
fof(f24065,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_autgroup(sK32,k2_group_1(sK32))) = k1_group_1(k5_autgroup(sK32),k6_autgroup(sK32,k2_group_1(sK32)),sK33)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24064,f17260]) ).
fof(f24066,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k6_partfun1(u1_struct_0(sK32))) = k1_group_1(k5_autgroup(sK32),k6_partfun1(u1_struct_0(sK32)),sK33)
| ~ spl618_106 ),
inference(forward_demodulation,[],[f24065,f23360]) ).
fof(f24067,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k2_group_1(k5_autgroup(sK32))) = k1_group_1(k5_autgroup(sK32),k2_group_1(k5_autgroup(sK32)),sK33)
| ~ spl618_106 ),
inference(forward_demodulation,[],[f24066,f23363]) ).
fof(f24068,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k2_group_1(k3_autgroup(sK32))) = k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_106 ),
inference(forward_demodulation,[],[f24067,f23426]) ).
fof(f24069,plain,
( sK33 != k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| spl618_20
| ~ spl618_106 ),
inference(superposition,[],[f23428,f24068]) ).
fof(f24070,plain,
( m1_subset_1(k6_autgroup(sK32,k2_group_1(sK32)),k4_autgroup(sK32))
| v3_struct_0(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(resolution,[],[f24045,f17807]) ).
fof(f24071,plain,
( m1_subset_1(k6_autgroup(sK32,k2_group_1(sK32)),k4_autgroup(sK32))
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24070,f17264]) ).
fof(f24072,plain,
( m1_subset_1(k6_autgroup(sK32,k2_group_1(sK32)),k4_autgroup(sK32))
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24071,f17260]) ).
fof(f24073,plain,
( m1_subset_1(k6_partfun1(u1_struct_0(sK32)),k4_autgroup(sK32))
| ~ spl618_106 ),
inference(forward_demodulation,[],[f24072,f23360]) ).
fof(f24074,plain,
( m1_subset_1(k2_group_1(k5_autgroup(sK32)),k4_autgroup(sK32))
| ~ spl618_106 ),
inference(forward_demodulation,[],[f24073,f23363]) ).
fof(f24075,plain,
( m1_subset_1(k2_group_1(k3_autgroup(sK32)),k4_autgroup(sK32))
| ~ spl618_106 ),
inference(forward_demodulation,[],[f24074,f23426]) ).
fof(f24078,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m1_subset_1(X0,k4_autgroup(sK32))
| ~ m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32))) )
| ~ spl618_106 ),
inference(resolution,[],[f24075,f23832]) ).
fof(f24081,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ m2_fraenkel(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32))) )
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24078,f24037]) ).
fof(f24088,definition,
( spl618_108
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32))) ) ),
introduced(definition,[new_symbols(definition,[spl618_108])],[avatar_definition]) ).
fof(f24089,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32))) )
| ~ spl618_108 ),
inference(avatar_component_clause,[],[f24088]) ).
fof(f24090,plain,
( ~ spl618_75
| spl618_108
| ~ spl618_106 ),
inference(avatar_split_clause,[],[f24081,f24036,f24088,f23809]) ).
fof(f24095,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k1_group_1(k5_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| ~ spl618_108 ),
inference(resolution,[],[f24089,f17265]) ).
fof(f24103,plain,
( k1_binop_1(k2_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32))) = k1_group_1(k5_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| ~ spl618_108 ),
inference(superposition,[],[f23879,f24095]) ).
fof(f24108,plain,
( m2_relset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_75
| ~ spl618_104 ),
inference(resolution,[],[f23810,f24008]) ).
fof(f24113,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| v3_struct_0(k3_autgroup(sK32))
| ~ v3_group_1(k3_autgroup(sK32))
| ~ l1_group_1(k3_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(resolution,[],[f24047,f17170]) ).
fof(f24116,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ v3_group_1(k3_autgroup(sK32))
| ~ l1_group_1(k3_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24113,f17168]) ).
fof(f24117,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ l1_group_1(k3_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24116,f17166]) ).
fof(f24118,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24117,f17164]) ).
fof(f24119,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| spl618_71
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24118,f23796]) ).
fof(f24120,plain,
( ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| spl618_71
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24119,f17264]) ).
fof(f24121,plain,
( ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| spl618_71
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24120,f17263]) ).
fof(f24122,plain,
( ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| spl618_71
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24121,f17262]) ).
fof(f24123,plain,
( ~ l1_group_1(sK32)
| spl618_71
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24122,f17261]) ).
fof(f24124,plain,
( $false
| spl618_71
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24123,f17260]) ).
fof(f24125,plain,
( spl618_71
| ~ spl618_106 ),
inference(avatar_contradiction_clause,[],[f24124]) ).
fof(f24126,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24118,f17264]) ).
fof(f24127,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24126,f17263]) ).
fof(f24128,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24127,f17262]) ).
fof(f24129,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ l1_group_1(sK32)
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24128,f17261]) ).
fof(f24130,plain,
( m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| ~ spl618_106 ),
inference(forward_subsumption_resolution,[],[f24129,f17260]) ).
fof(f24189,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_1(X0)
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23270,f17261]) ).
fof(f24195,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_1(X0)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24189,f17264]) ).
fof(f24196,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_1(X0)
| ~ v3_group_1(sK32)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24195,f17263]) ).
fof(f24197,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24196,f17262]) ).
fof(f24198,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK32))
| v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f24197,f17260]) ).
fof(f24200,definition,
( spl618_112
<=> ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_112])],[avatar_definition]) ).
fof(f24201,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k4_autgroup(sK32))
| v1_funct_1(X0) )
| ~ spl618_112 ),
inference(avatar_component_clause,[],[f24200]) ).
fof(f24202,plain,
( spl618_112
| spl618_30 ),
inference(avatar_split_clause,[],[f24198,f23437,f24200]) ).
fof(f24203,plain,
( v1_funct_1(sK33)
| ~ spl618_112 ),
inference(resolution,[],[f24201,f17265]) ).
fof(f24205,plain,
( v1_funct_1(k2_group_1(k3_autgroup(sK32)))
| ~ spl618_75
| ~ spl618_112 ),
inference(resolution,[],[f24201,f23810]) ).
fof(f24211,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(sK33,X0,X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X2,X0)
| ~ m1_relset_1(X1,X2,X0)
| k5_relat_1(X1,sK33) = k7_funct_2(X2,X0,X3,X1,sK33)
| v1_xboole_0(X0)
| ~ m1_relset_1(sK33,X0,X3) )
| ~ spl618_112 ),
inference(resolution,[],[f24203,f17731]) ).
fof(f24374,plain,
( ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),sK33,k2_group_1(k3_autgroup(sK32))) = k1_group_1(k3_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_72 ),
inference(resolution,[],[f23964,f23799]) ).
fof(f24380,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k3_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f23964,f22433]) ).
fof(f24381,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k3_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24380,f17264]) ).
fof(f24385,plain,
( k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k1_group_1(k3_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| ~ spl618_72
| ~ spl618_106 ),
inference(forward_demodulation,[],[f24374,f24068]) ).
fof(f24386,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k3_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24381,f17263]) ).
fof(f24391,definition,
( spl618_144
<=> m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32))) ),
introduced(definition,[new_symbols(definition,[spl618_144])],[avatar_definition]) ).
fof(f24392,plain,
( ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| spl618_144 ),
inference(avatar_component_clause,[],[f24391]) ).
fof(f24394,definition,
( spl618_145
<=> k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k1_group_1(k3_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33) ),
introduced(definition,[new_symbols(definition,[spl618_145])],[avatar_definition]) ).
fof(f24395,plain,
( k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k1_group_1(k3_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_145 ),
inference(avatar_component_clause,[],[f24394]) ).
fof(f24396,plain,
( ~ spl618_144
| spl618_145
| ~ spl618_72
| ~ spl618_106 ),
inference(avatar_split_clause,[],[f24385,f24036,f23798,f24394,f24391]) ).
fof(f24397,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k3_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24386,f17262]) ).
fof(f24401,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k3_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24397,f17261]) ).
fof(f24405,plain,
! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k3_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32))) ),
inference(forward_subsumption_resolution,[],[f24401,f17260]) ).
fof(f24410,definition,
( spl618_146
<=> ! [X0] :
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k3_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32)))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_146])],[avatar_definition]) ).
fof(f24411,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK32),u1_struct_0(sK32),k1_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k3_autgroup(sK32)))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),X0) = k1_group_1(k3_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32))) )
| ~ spl618_146 ),
inference(avatar_component_clause,[],[f24410]) ).
fof(f24412,plain,
( ~ spl618_144
| spl618_146 ),
inference(avatar_split_clause,[],[f24405,f24410,f24391]) ).
fof(f24418,plain,
( v3_struct_0(k3_autgroup(sK32))
| ~ l1_group_1(k3_autgroup(sK32))
| spl618_144 ),
inference(resolution,[],[f24392,f17807]) ).
fof(f24419,plain,
( ~ spl618_36
| spl618_39
| spl618_144 ),
inference(avatar_split_clause,[],[f24418,f24391,f23497,f23488]) ).
fof(f24420,plain,
( ~ m1_subset_1(sK33,u1_struct_0(k3_autgroup(sK32)))
| k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k1_group_1(k3_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| ~ spl618_146 ),
inference(resolution,[],[f24411,f23597]) ).
fof(f24423,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k1_group_1(k3_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| ~ spl618_106
| ~ spl618_146 ),
inference(forward_subsumption_resolution,[],[f24420,f24130]) ).
fof(f24430,plain,
( k1_group_1(k5_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32))) = k1_group_1(k3_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| ~ spl618_106
| ~ spl618_108
| ~ spl618_146 ),
inference(superposition,[],[f24095,f24423]) ).
fof(f24432,plain,
( sK33 != k1_group_1(k3_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| spl618_20
| ~ spl618_106
| ~ spl618_145 ),
inference(superposition,[],[f24069,f24395]) ).
fof(f24602,plain,
( m1_relset_1(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_75
| ~ spl618_104 ),
inference(resolution,[],[f24108,f18358]) ).
fof(f24663,plain,
! [X0] :
( v3_struct_0(sK32)
| m1_subset_1(k3_group_1(sK32,X0),u1_struct_0(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(resolution,[],[f17836,f17262]) ).
fof(f24666,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK32,X0),u1_struct_0(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f24663,f17264]) ).
fof(f24668,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK32,X0),u1_struct_0(sK32))
| ~ l1_group_1(sK32)
| ~ m1_subset_1(X0,u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f24666,f17261]) ).
fof(f24670,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| m1_subset_1(k3_group_1(sK32,X0),u1_struct_0(sK32)) ),
inference(forward_subsumption_resolution,[],[f24668,f17260]) ).
fof(f24671,plain,
( m1_subset_1(k3_group_1(sK32,k2_group_1(sK32)),u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f24670,f17807]) ).
fof(f24672,plain,
( m1_subset_1(k3_group_1(sK32,k2_group_1(sK32)),u1_struct_0(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f24671,f17264]) ).
fof(f24673,plain,
m1_subset_1(k3_group_1(sK32,k2_group_1(sK32)),u1_struct_0(sK32)),
inference(forward_subsumption_resolution,[],[f24672,f17260]) ).
fof(f24674,plain,
m1_subset_1(k2_group_1(sK32),u1_struct_0(sK32)),
inference(forward_demodulation,[],[f24673,f23348]) ).
fof(f24803,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK32))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK32))
| k5_relat_1(X0,sK33) = k7_funct_2(X1,u1_struct_0(sK32),u1_struct_0(sK32),X0,sK33)
| v1_xboole_0(u1_struct_0(sK32))
| ~ m1_relset_1(sK33,u1_struct_0(sK32),u1_struct_0(sK32)) )
| ~ spl618_33
| ~ spl618_112 ),
inference(resolution,[],[f24211,f23678]) ).
fof(f24804,plain,
( ! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK32))
| ~ m1_relset_1(X0,X1,u1_struct_0(sK32))
| k5_relat_1(X0,sK33) = k7_funct_2(X1,u1_struct_0(sK32),u1_struct_0(sK32),X0,sK33)
| v1_xboole_0(u1_struct_0(sK32)) )
| ~ spl618_33
| ~ spl618_104
| ~ spl618_112 ),
inference(forward_subsumption_resolution,[],[f24803,f24017]) ).
fof(f24806,definition,
( spl618_160
<=> ! [X0,X1] :
( ~ v1_funct_1(X0)
| k5_relat_1(X0,sK33) = k7_funct_2(X1,u1_struct_0(sK32),u1_struct_0(sK32),X0,sK33)
| ~ m1_relset_1(X0,X1,u1_struct_0(sK32))
| ~ v1_funct_2(X0,X1,u1_struct_0(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_160])],[avatar_definition]) ).
fof(f24807,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,X1,u1_struct_0(sK32))
| k5_relat_1(X0,sK33) = k7_funct_2(X1,u1_struct_0(sK32),u1_struct_0(sK32),X0,sK33)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,u1_struct_0(sK32)) )
| ~ spl618_160 ),
inference(avatar_component_clause,[],[f24806]) ).
fof(f24808,plain,
( spl618_30
| spl618_160
| ~ spl618_33
| ~ spl618_104
| ~ spl618_112 ),
inference(avatar_split_clause,[],[f24804,f24200,f24007,f23448,f24806,f23437]) ).
fof(f24810,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k5_relat_1(k2_group_1(k3_autgroup(sK32)),sK33)
| ~ v1_funct_1(k2_group_1(k3_autgroup(sK32)))
| ~ v1_funct_2(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_75
| ~ spl618_104
| ~ spl618_160 ),
inference(resolution,[],[f24807,f24602]) ).
fof(f24811,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k5_relat_1(k2_group_1(k3_autgroup(sK32)),sK33)
| ~ v1_funct_2(k2_group_1(k3_autgroup(sK32)),u1_struct_0(sK32),u1_struct_0(sK32))
| ~ spl618_75
| ~ spl618_104
| ~ spl618_112
| ~ spl618_160 ),
inference(forward_subsumption_resolution,[],[f24810,f24205]) ).
fof(f24813,plain,
( k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),sK33) = k5_relat_1(k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_75
| ~ spl618_102
| ~ spl618_104
| ~ spl618_112
| ~ spl618_160 ),
inference(forward_subsumption_resolution,[],[f24811,f23992]) ).
fof(f24898,plain,
( k1_group_1(k3_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32))) = k5_relat_1(k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_75
| ~ spl618_102
| ~ spl618_104
| ~ spl618_106
| ~ spl618_112
| ~ spl618_146
| ~ spl618_160 ),
inference(superposition,[],[f24423,f24813]) ).
fof(f24899,plain,
( k1_group_1(k5_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32))) = k5_relat_1(k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_75
| ~ spl618_102
| ~ spl618_104
| ~ spl618_108
| ~ spl618_112
| ~ spl618_160 ),
inference(superposition,[],[f24095,f24813]) ).
fof(f25262,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| v3_struct_0(k3_autgroup(X1))
| v3_group_1(X0)
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17318,f17166]) ).
fof(f25263,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| v3_group_1(X0)
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f25262,f17168]) ).
fof(f25265,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| v3_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f25263,f17164]) ).
fof(f25423,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| v3_struct_0(k3_autgroup(X1))
| l1_group_1(X0)
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f17317,f17166]) ).
fof(f25424,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| l1_group_1(X0)
| ~ l1_group_1(k3_autgroup(X1))
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f25423,f17168]) ).
fof(f25426,plain,
! [X0,X1] :
( ~ m1_group_2(X0,k3_autgroup(X1))
| l1_group_1(X0)
| v3_struct_0(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f25424,f17164]) ).
fof(f26284,plain,
! [X0] :
( ~ m1_subset_1(k3_group_1(sK32,X0),u1_struct_0(sK32))
| ~ m1_subset_1(X0,u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ v3_group_1(sK32)
| k2_group_1(sK32) = k1_group_1(sK32,X0,k3_group_1(sK32,X0))
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f22509,f17261]) ).
fof(f26291,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| v3_struct_0(sK32)
| ~ v3_group_1(sK32)
| k2_group_1(sK32) = k1_group_1(sK32,X0,k3_group_1(sK32,X0))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f26284,f24670]) ).
fof(f26292,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| ~ v3_group_1(sK32)
| k2_group_1(sK32) = k1_group_1(sK32,X0,k3_group_1(sK32,X0))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f26291,f17264]) ).
fof(f26293,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k2_group_1(sK32) = k1_group_1(sK32,X0,k3_group_1(sK32,X0))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f26292,f17262]) ).
fof(f26294,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK32))
| k2_group_1(sK32) = k1_group_1(sK32,X0,k3_group_1(sK32,X0)) ),
inference(forward_subsumption_resolution,[],[f26293,f17260]) ).
fof(f26296,plain,
k2_group_1(sK32) = k1_group_1(sK32,k2_group_1(sK32),k3_group_1(sK32,k2_group_1(sK32))),
inference(resolution,[],[f26294,f24674]) ).
fof(f26298,plain,
k2_group_1(sK32) = k1_group_1(sK32,k2_group_1(sK32),k2_group_1(sK32)),
inference(forward_demodulation,[],[f26296,f23348]) ).
fof(f26302,plain,
( ~ m1_subset_1(k2_group_1(sK32),u1_struct_0(sK32))
| spl618_74 ),
inference(superposition,[],[f23807,f26298]) ).
fof(f26304,plain,
( $false
| spl618_74 ),
inference(forward_subsumption_resolution,[],[f26302,f24674]) ).
fof(f26305,plain,
spl618_74,
inference(avatar_contradiction_clause,[],[f26304]) ).
fof(f27652,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k6_partfun1(u1_struct_0(sK32)),sK33)
| spl618_21 ),
inference(forward_demodulation,[],[f23121,f23360]) ).
fof(f27658,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k5_autgroup(sK32)),sK33)
| spl618_21 ),
inference(forward_demodulation,[],[f27652,f23363]) ).
fof(f27661,plain,
( sK33 != k7_funct_2(u1_struct_0(sK32),u1_struct_0(sK32),u1_struct_0(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| spl618_21 ),
inference(forward_demodulation,[],[f27658,f23426]) ).
fof(f27662,plain,
( sK33 != k1_binop_1(k2_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| spl618_21 ),
inference(forward_demodulation,[],[f27661,f23879]) ).
fof(f27663,plain,
( sK33 != k1_group_1(k5_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| spl618_21
| ~ spl618_108 ),
inference(forward_demodulation,[],[f27662,f24103]) ).
fof(f27664,plain,
( sK33 != k1_group_1(k3_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| spl618_21
| ~ spl618_106
| ~ spl618_108
| ~ spl618_146 ),
inference(forward_demodulation,[],[f27663,f24430]) ).
fof(f27665,plain,
( sK33 != k5_relat_1(k2_group_1(k3_autgroup(sK32)),sK33)
| spl618_21
| ~ spl618_75
| ~ spl618_102
| ~ spl618_104
| ~ spl618_106
| ~ spl618_108
| ~ spl618_112
| ~ spl618_146
| ~ spl618_160 ),
inference(forward_demodulation,[],[f27664,f24898]) ).
fof(f30596,plain,
! [X0] :
( v3_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f25265,f17170]) ).
fof(f30597,plain,
! [X0] :
( ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| v3_group_1(k5_autgroup(X0))
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(duplicate_literal_removal,[],[f30596]) ).
fof(f30601,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| v3_group_1(k5_autgroup(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(resolution,[],[f30597,f17262]) ).
fof(f30602,plain,
( ~ v1_group_1(sK32)
| v3_group_1(k5_autgroup(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f30601,f17264]) ).
fof(f30605,plain,
( v3_group_1(k5_autgroup(sK32))
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f30602,f17263]) ).
fof(f30608,plain,
( v3_group_1(k5_autgroup(sK32))
| ~ l1_group_1(sK32) ),
inference(forward_subsumption_resolution,[],[f30605,f17261]) ).
fof(f30611,plain,
v3_group_1(k5_autgroup(sK32)),
inference(forward_subsumption_resolution,[],[f30608,f17260]) ).
fof(f32133,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X1) = X1
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f19747,f22681]) ).
fof(f32134,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,X1,k2_group_1(X0)) = X1
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f19747,f22680]) ).
fof(f32135,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,X1,k2_group_1(X0)) = X1 ),
inference(duplicate_literal_removal,[],[f32134]) ).
fof(f32136,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X1) = X1 ),
inference(duplicate_literal_removal,[],[f32133]) ).
fof(f32137,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,X1,k2_group_1(X0)) = X1 ),
inference(forward_subsumption_resolution,[],[f32135,f17807]) ).
fof(f32138,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k1_group_1(X0,k2_group_1(X0),X1) = X1 ),
inference(forward_subsumption_resolution,[],[f32136,f17807]) ).
fof(f32236,plain,
! [X0] :
( l1_group_1(k5_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f25426,f17170]) ).
fof(f32237,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| l1_group_1(k5_autgroup(X0)) ),
inference(duplicate_literal_removal,[],[f32236]) ).
fof(f32242,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| l1_group_1(k5_autgroup(sK32)) ),
inference(resolution,[],[f32237,f17260]) ).
fof(f32244,plain,
( ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| l1_group_1(k5_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f32242,f17264]) ).
fof(f32247,plain,
( ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| l1_group_1(k5_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f32244,f17263]) ).
fof(f32250,plain,
( ~ v4_group_1(sK32)
| l1_group_1(k5_autgroup(sK32)) ),
inference(forward_subsumption_resolution,[],[f32247,f17262]) ).
fof(f32253,plain,
l1_group_1(k5_autgroup(sK32)),
inference(forward_subsumption_resolution,[],[f32250,f17261]) ).
fof(f32934,plain,
( ! [X0] :
( ~ m1_group_2(k5_autgroup(sK32),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl618_27 ),
inference(resolution,[],[f23412,f17319]) ).
fof(f32948,plain,
! [X0] :
( ~ v3_group_1(k5_autgroup(sK32))
| v3_struct_0(k5_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k5_autgroup(sK32))) = X0 ),
inference(resolution,[],[f32253,f32137]) ).
fof(f32949,plain,
! [X0] :
( ~ v3_group_1(k5_autgroup(sK32))
| v3_struct_0(k5_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| k1_group_1(k5_autgroup(sK32),k2_group_1(k5_autgroup(sK32)),X0) = X0 ),
inference(resolution,[],[f32253,f32138]) ).
fof(f32971,plain,
( v3_struct_0(k3_autgroup(sK32))
| ~ v3_group_1(k3_autgroup(sK32))
| ~ l1_group_1(k3_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_27 ),
inference(resolution,[],[f32934,f17170]) ).
fof(f32974,plain,
( ~ v3_group_1(k3_autgroup(sK32))
| ~ l1_group_1(k3_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_27 ),
inference(forward_subsumption_resolution,[],[f32971,f17168]) ).
fof(f32975,plain,
( ~ l1_group_1(k3_autgroup(sK32))
| v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_27 ),
inference(forward_subsumption_resolution,[],[f32974,f17166]) ).
fof(f32976,plain,
( v3_struct_0(sK32)
| ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_27 ),
inference(forward_subsumption_resolution,[],[f32975,f17164]) ).
fof(f32977,plain,
( ~ v1_group_1(sK32)
| ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_27 ),
inference(forward_subsumption_resolution,[],[f32976,f17264]) ).
fof(f32978,plain,
( ~ v3_group_1(sK32)
| ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_27 ),
inference(forward_subsumption_resolution,[],[f32977,f17263]) ).
fof(f32979,plain,
( ~ v4_group_1(sK32)
| ~ l1_group_1(sK32)
| ~ spl618_27 ),
inference(forward_subsumption_resolution,[],[f32978,f17262]) ).
fof(f32980,plain,
( ~ l1_group_1(sK32)
| ~ spl618_27 ),
inference(forward_subsumption_resolution,[],[f32979,f17261]) ).
fof(f32981,plain,
( $false
| ~ spl618_27 ),
inference(forward_subsumption_resolution,[],[f32980,f17260]) ).
fof(f32982,plain,
~ spl618_27,
inference(avatar_contradiction_clause,[],[f32981]) ).
fof(f32995,plain,
! [X0] :
( v3_struct_0(k5_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| k1_group_1(k5_autgroup(sK32),k2_group_1(k5_autgroup(sK32)),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f32949,f30611]) ).
fof(f32996,plain,
! [X0] :
( v3_struct_0(k5_autgroup(sK32))
| ~ m1_subset_1(X0,u1_struct_0(k5_autgroup(sK32)))
| k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k5_autgroup(sK32))) = X0 ),
inference(forward_subsumption_resolution,[],[f32948,f30611]) ).
fof(f33012,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK32))
| v3_struct_0(k5_autgroup(sK32))
| k1_group_1(k5_autgroup(sK32),k2_group_1(k5_autgroup(sK32)),X0) = X0 ),
inference(forward_demodulation,[],[f32995,f23830]) ).
fof(f33013,plain,
! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK32))
| v3_struct_0(k5_autgroup(sK32))
| k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k5_autgroup(sK32))) = X0 ),
inference(forward_demodulation,[],[f32996,f23830]) ).
fof(f33030,plain,
! [X0] :
( k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),X0) = X0
| ~ m1_subset_1(X0,k4_autgroup(sK32))
| v3_struct_0(k5_autgroup(sK32)) ),
inference(forward_demodulation,[],[f33012,f23426]) ).
fof(f33031,plain,
! [X0] :
( k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32))) = X0
| ~ m1_subset_1(X0,k4_autgroup(sK32))
| v3_struct_0(k5_autgroup(sK32)) ),
inference(forward_demodulation,[],[f33013,f23426]) ).
fof(f33040,definition,
( spl618_667
<=> ! [X0] :
( k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),X0) = X0
| ~ m1_subset_1(X0,k4_autgroup(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_667])],[avatar_definition]) ).
fof(f33041,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK32))
| k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),X0) = X0 )
| ~ spl618_667 ),
inference(avatar_component_clause,[],[f33040]) ).
fof(f33042,plain,
( spl618_27
| spl618_667 ),
inference(avatar_split_clause,[],[f33030,f33040,f23411]) ).
fof(f33044,definition,
( spl618_668
<=> ! [X0] :
( k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32))) = X0
| ~ m1_subset_1(X0,k4_autgroup(sK32)) ) ),
introduced(definition,[new_symbols(definition,[spl618_668])],[avatar_definition]) ).
fof(f33045,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k4_autgroup(sK32))
| k1_group_1(k5_autgroup(sK32),X0,k2_group_1(k3_autgroup(sK32))) = X0 )
| ~ spl618_668 ),
inference(avatar_component_clause,[],[f33044]) ).
fof(f33046,plain,
( spl618_27
| spl618_668 ),
inference(avatar_split_clause,[],[f33031,f33044,f23411]) ).
fof(f33785,plain,
( sK33 = k1_group_1(k5_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_106
| ~ spl618_667 ),
inference(resolution,[],[f33041,f24039]) ).
fof(f33792,plain,
( sK33 = k1_group_1(k3_autgroup(sK32),k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_106
| ~ spl618_145
| ~ spl618_667 ),
inference(superposition,[],[f33785,f24395]) ).
fof(f33796,plain,
( $false
| spl618_20
| ~ spl618_106
| ~ spl618_145
| ~ spl618_667 ),
inference(forward_subsumption_resolution,[],[f33792,f24432]) ).
fof(f33797,plain,
( spl618_20
| ~ spl618_106
| ~ spl618_145
| ~ spl618_667 ),
inference(avatar_contradiction_clause,[],[f33796]) ).
fof(f33818,plain,
( sK33 = k1_group_1(k5_autgroup(sK32),sK33,k2_group_1(k3_autgroup(sK32)))
| ~ spl618_106
| ~ spl618_668 ),
inference(resolution,[],[f33045,f24039]) ).
fof(f33825,plain,
( sK33 = k5_relat_1(k2_group_1(k3_autgroup(sK32)),sK33)
| ~ spl618_75
| ~ spl618_102
| ~ spl618_104
| ~ spl618_106
| ~ spl618_108
| ~ spl618_112
| ~ spl618_160
| ~ spl618_668 ),
inference(superposition,[],[f33818,f24899]) ).
fof(f33831,plain,
( $false
| spl618_21
| ~ spl618_75
| ~ spl618_102
| ~ spl618_104
| ~ spl618_106
| ~ spl618_108
| ~ spl618_112
| ~ spl618_146
| ~ spl618_160
| ~ spl618_668 ),
inference(forward_subsumption_resolution,[],[f33825,f27665]) ).
fof(f33832,plain,
( spl618_21
| ~ spl618_75
| ~ spl618_102
| ~ spl618_104
| ~ spl618_106
| ~ spl618_108
| ~ spl618_112
| ~ spl618_146
| ~ spl618_160
| ~ spl618_668 ),
inference(avatar_contradiction_clause,[],[f33831]) ).
cnf(s10,plain,
( ~ spl618_20
| ~ spl618_21 ),
inference(sat_conversion,[],[f23122]) ).
cnf(s23,plain,
( spl618_30
| spl618_33 ),
inference(sat_conversion,[],[f23450]) ).
cnf(s27,plain,
~ spl618_30,
inference(sat_conversion,[],[f23466]) ).
cnf(s48,plain,
spl618_36,
inference(sat_conversion,[],[f23581]) ).
cnf(s50,plain,
~ spl618_39,
inference(sat_conversion,[],[f23592]) ).
cnf(s69,plain,
( ~ spl618_71
| spl618_72 ),
inference(sat_conversion,[],[f23800]) ).
cnf(s71,plain,
( ~ spl618_74
| spl618_75 ),
inference(sat_conversion,[],[f23811]) ).
cnf(s92,plain,
( spl618_30
| spl618_102 ),
inference(sat_conversion,[],[f23979]) ).
cnf(s94,plain,
( spl618_30
| spl618_104 ),
inference(sat_conversion,[],[f24009]) ).
cnf(s96,plain,
( spl618_30
| spl618_106 ),
inference(sat_conversion,[],[f24038]) ).
cnf(s98,plain,
( ~ spl618_75
| ~ spl618_106
| spl618_108 ),
inference(sat_conversion,[],[f24090]) ).
cnf(s100,plain,
( spl618_71
| ~ spl618_106 ),
inference(sat_conversion,[],[f24125]) ).
cnf(s103,plain,
( spl618_30
| spl618_112 ),
inference(sat_conversion,[],[f24202]) ).
cnf(s130,plain,
( ~ spl618_72
| ~ spl618_106
| ~ spl618_144
| spl618_145 ),
inference(sat_conversion,[],[f24396]) ).
cnf(s131,plain,
( ~ spl618_144
| spl618_146 ),
inference(sat_conversion,[],[f24412]) ).
cnf(s133,plain,
( ~ spl618_36
| spl618_39
| spl618_144 ),
inference(sat_conversion,[],[f24419]) ).
cnf(s145,plain,
( spl618_30
| ~ spl618_33
| ~ spl618_104
| ~ spl618_112
| spl618_160 ),
inference(sat_conversion,[],[f24808]) ).
cnf(s197,plain,
spl618_74,
inference(sat_conversion,[],[f26305]) ).
cnf(s635,plain,
~ spl618_27,
inference(sat_conversion,[],[f32982]) ).
cnf(s639,plain,
( spl618_27
| spl618_667 ),
inference(sat_conversion,[],[f33042]) ).
cnf(s640,plain,
( spl618_27
| spl618_668 ),
inference(sat_conversion,[],[f33046]) ).
cnf(s683,plain,
( spl618_20
| ~ spl618_106
| ~ spl618_145
| ~ spl618_667 ),
inference(sat_conversion,[],[f33797]) ).
cnf(s685,plain,
( spl618_21
| ~ spl618_75
| ~ spl618_102
| ~ spl618_104
| ~ spl618_106
| ~ spl618_108
| ~ spl618_112
| ~ spl618_146
| ~ spl618_160
| ~ spl618_668 ),
inference(sat_conversion,[],[f33832]) ).
cnf(s686,plain,
spl618_668,
inference(rat,[],[s640,s635]) ).
cnf(s687,plain,
spl618_667,
inference(rat,[],[s639,s635]) ).
cnf(s970,plain,
spl618_75,
inference(rat,[],[s71,s197]) ).
cnf(s985,plain,
spl618_144,
inference(rat,[],[s133,s50,s48]) ).
cnf(s1069,plain,
spl618_146,
inference(rat,[],[s131,s985]) ).
cnf(s1152,plain,
spl618_112,
inference(rat,[],[s103,s27]) ).
cnf(s1153,plain,
spl618_106,
inference(rat,[],[s96,s27]) ).
cnf(s1154,plain,
spl618_104,
inference(rat,[],[s94,s27]) ).
cnf(s1155,plain,
spl618_102,
inference(rat,[],[s92,s27]) ).
cnf(s1157,plain,
spl618_71,
inference(rat,[],[s100,s1153]) ).
cnf(s1158,plain,
spl618_108,
inference(rat,[],[s98,s970,s1153]) ).
cnf(s1168,plain,
spl618_72,
inference(rat,[],[s69,s1157]) ).
cnf(s1170,plain,
spl618_145,
inference(rat,[],[s130,s1153,s985,s1168]) ).
cnf(s1172,plain,
spl618_20,
inference(rat,[],[s683,s687,s1153,s1170]) ).
cnf(s1185,plain,
spl618_33,
inference(rat,[],[s23,s27]) ).
cnf(s1187,plain,
spl618_160,
inference(rat,[],[s145,s1154,s1152,s27,s1185]) ).
cnf(s1191,plain,
spl618_21,
inference(rat,[],[s685,s686,s1155,s1069,s1152,s1158,s1153,s1154,s970,s1187]) ).
cnf(s1200,plain,
$false,
inference(rat,[],[s10,s1191,s1172]) ).
fof(f33833,plain,
$false,
inference(avatar_sat_refutation,[],[s1200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP632+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n026.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 10:19:15 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.37/3.30 % (2615193)Detected formulas, will run a generic FOF schedule.
% 13.37/3.30 % (2615199)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=1726676422:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 13.37/3.30 % (2615200)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=1623509973:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 13.37/3.30 % (2615204)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2518568360:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 13.37/3.30 % (2615203)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1963821894:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 13.37/3.30 % (2615202)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2808258708:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 13.37/3.30 % (2615205)dis-21_1_sil=8000:lcm=predicate:random_seed=2971095988:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 13.37/3.30 % (2615201)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=3466347587:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 13.37/3.30 % (2615204)Instruction limit reached!
% 13.37/3.30 % (2615204)------------------------------
% 13.37/3.30 % (2615204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/3.30 % (2615204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/3.30 % (2615204)CaDiCaL version: 2.1.3
% 13.37/3.30 % (2615204)Termination reason: Instruction limit
% 13.37/3.30 % (2615204)Termination phase: Property scanning
% 13.37/3.30 % (2615204)Time elapsed: 0.059 s
% 13.37/3.30 % (2615204)Peak memory usage: 101 MB
% 13.37/3.30 % (2615204)Instructions burned: 140 (million)
% 13.37/3.30 % (2615202)Refutation not found, incomplete strategy
% 13.37/3.30 % (2615202)------------------------------
% 13.37/3.30 % (2615202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/3.30 % (2615202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/3.30 % (2615202)CaDiCaL version: 2.1.3
% 13.37/3.30 % (2615202)Termination reason: Refutation not found, incomplete strategy
% 13.37/3.30 % (2615202)Time elapsed: 0.066 s
% 13.37/3.30 % (2615202)Peak memory usage: 106 MB
% 13.37/3.30 % (2615202)Instructions burned: 81 (million)
% 13.37/3.30 % (2615205)Instruction limit reached!
% 13.37/3.30 % (2615205)------------------------------
% 13.37/3.30 % (2615205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/3.30 % (2615205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/3.30 % (2615205)CaDiCaL version: 2.1.3
% 13.37/3.30 % (2615205)Termination reason: Instruction limit
% 13.37/3.30 % (2615205)Termination phase: Preprocessing 1
% 13.37/3.30 % (2615205)Time elapsed: 0.099 s
% 13.37/3.30 % (2615205)Peak memory usage: 103 MB
% 13.37/3.30 % (2615205)Instructions burned: 129 (million)
% 13.37/3.30 % (2615203)Instruction limit reached!
% 13.37/3.30 % (2615203)------------------------------
% 13.37/3.30 % (2615203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.37/3.30 % (2615203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/3.30 % (2615203)CaDiCaL version: 2.1.3
% 13.37/3.30 % (2615203)Termination reason: Instruction limit
% 13.37/3.30 % (2615203)Termination phase: Preprocessing 3
% 13.37/3.30 % (2615203)Time elapsed: 0.101 s
% 13.37/3.30 % (2615203)Peak memory usage: 105 MB
% 13.37/3.30 % (2615203)Instructions burned: 120 (million)
% 13.37/3.30 % (2615213)lrs+10_1_sil=8000:sp=occurrence:random_seed=814276313:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 13.37/3.30 % (2615215)lrs+1011_1_sil=32000:sp=occurrence:random_seed=612338457:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 13.37/3.30 % (2615214)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4135887076:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 13.37/3.30 % (2615202)------------------------------
% 13.37/3.30 % (2615202)------------------------------
% 13.37/3.30 % (2615214)Instruction limit reached!
% 13.37/3.30 % (2615214)------------------------------
% 13.37/3.30 % (2615214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/4.09 % (2615214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/4.09 % (2615214)CaDiCaL version: 2.1.3
% 18.93/4.09 % (2615214)Termination reason: Instruction limit
% 18.93/4.09 % (2615214)Termination phase: Property scanning
% 18.93/4.09 % (2615214)Time elapsed: 0.067 s
% 18.93/4.09 % (2615214)Peak memory usage: 101 MB
% 18.93/4.09 % (2615214)Instructions burned: 159 (million)
% 18.93/4.09 % (2615213)Instruction limit reached!
% 18.93/4.09 % (2615213)------------------------------
% 18.93/4.09 % (2615213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/4.09 % (2615213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/4.09 % (2615213)CaDiCaL version: 2.1.3
% 18.93/4.09 % (2615213)Termination reason: Instruction limit
% 18.93/4.09 % (2615213)Termination phase: Saturation
% 18.93/4.09 % (2615213)Time elapsed: 0.191 s
% 18.93/4.09 % (2615213)Peak memory usage: 109 MB
% 18.93/4.09 % (2615213)Instructions burned: 286 (million)
% 18.93/4.09 % (2615219)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=2545917898:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 18.93/4.09 % (2615220)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1385626758:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 18.93/4.09 % (2615215)Instruction limit reached!
% 18.93/4.09 % (2615215)------------------------------
% 18.93/4.09 % (2615215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/4.09 % (2615215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/4.09 % (2615215)CaDiCaL version: 2.1.3
% 18.93/4.09 % (2615215)Termination reason: Instruction limit
% 18.93/4.09 % (2615215)Termination phase: Saturation
% 18.93/4.09 % (2615215)Time elapsed: 0.221 s
% 18.93/4.09 % (2615215)Peak memory usage: 108 MB
% 18.93/4.09 % (2615215)Instructions burned: 326 (million)
% 18.93/4.09 % (2615221)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3090363128:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 18.93/4.09 % (2615219)Instruction limit reached!
% 18.93/4.09 % (2615219)------------------------------
% 18.93/4.09 % (2615219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/4.09 % (2615219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/4.09 % (2615219)CaDiCaL version: 2.1.3
% 18.93/4.09 % (2615219)Termination reason: Instruction limit
% 18.93/4.09 % (2615219)Termination phase: SInE selection
% 18.93/4.09 % (2615219)Time elapsed: 0.130 s
% 18.93/4.09 % (2615219)Peak memory usage: 102 MB
% 18.93/4.09 % (2615219)Instructions burned: 249 (million)
% 18.93/4.09 % (2615224)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=863215105:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 18.93/4.09 % (2615220)Instruction limit reached!
% 18.93/4.09 % (2615220)------------------------------
% 18.93/4.09 % (2615220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/4.09 % (2615220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/4.09 % (2615220)CaDiCaL version: 2.1.3
% 18.93/4.09 % (2615220)Termination reason: Instruction limit
% 18.93/4.09 % (2615220)Termination phase: Property scanning
% 18.93/4.09 % (2615220)Time elapsed: 0.185 s
% 18.93/4.09 % (2615220)Peak memory usage: 108 MB
% 18.93/4.09 % (2615220)Instructions burned: 296 (million)
% 18.93/4.09 % (2615224)Instruction limit reached!
% 18.93/4.09 % (2615224)------------------------------
% 18.93/4.09 % (2615224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/4.09 % (2615224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/4.09 % (2615224)CaDiCaL version: 2.1.3
% 18.93/4.09 % (2615224)Termination reason: Instruction limit
% 18.93/4.09 % (2615224)Termination phase: Preprocessing 3
% 18.93/4.09 % (2615224)Time elapsed: 0.099 s
% 18.93/4.09 % (2615224)Peak memory usage: 105 MB
% 18.93/4.09 % (2615224)Instructions burned: 113 (million)
% 18.93/4.09 % (2615226)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1396052500:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 18.93/4.09 % (2615228)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2036081597:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 18.93/4.09 % (2615226)Instruction limit reached!
% 18.93/4.09 % (2615226)------------------------------
% 12.13/5.16 % (2615226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615226)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615226)Termination reason: Instruction limit
% 12.13/5.16 % (2615226)Termination phase: Preprocessing 2
% 12.13/5.16 % (2615226)Time elapsed: 0.102 s
% 12.13/5.16 % (2615226)Peak memory usage: 106 MB
% 12.13/5.16 % (2615226)Instructions burned: 127 (million)
% 12.13/5.16 % (2615228)Instruction limit reached!
% 12.13/5.16 % (2615228)------------------------------
% 12.13/5.16 % (2615228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615228)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615228)Termination reason: Instruction limit
% 12.13/5.16 % (2615228)Termination phase: Property scanning
% 12.13/5.16 % (2615228)Time elapsed: 0.051 s
% 12.13/5.16 % (2615228)Peak memory usage: 101 MB
% 12.13/5.16 % (2615228)Instructions burned: 116 (million)
% 12.13/5.16 % (2615230)lrs+10_1_sil=8000:sp=occurrence:random_seed=737857970:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 12.13/5.16 % (2615232)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1103108959:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 12.13/5.16 % (2615233)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2659665597:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 12.13/5.16 % (2615232)Instruction limit reached!
% 12.13/5.16 % (2615232)------------------------------
% 12.13/5.16 % (2615232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615232)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615232)Termination reason: Instruction limit
% 12.13/5.16 % (2615232)Termination phase: Saturation
% 12.13/5.16 % (2615232)Time elapsed: 0.152 s
% 12.13/5.16 % (2615232)Peak memory usage: 109 MB
% 12.13/5.16 % (2615232)Instructions burned: 438 (million)
% 12.13/5.16 % (2615237)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3341754186:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 12.13/5.16 % (2615237)Instruction limit reached!
% 12.13/5.16 % (2615237)------------------------------
% 12.13/5.16 % (2615237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615237)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615237)Termination reason: Instruction limit
% 12.13/5.16 % (2615237)Termination phase: Property scanning
% 12.13/5.16 % (2615237)Time elapsed: 0.060 s
% 12.13/5.16 % (2615237)Peak memory usage: 105 MB
% 12.13/5.16 % (2615237)Instructions burned: 139 (million)
% 12.13/5.16 % (2615239)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=867281775:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 12.13/5.16 % (2615230)Instruction limit reached!
% 12.13/5.16 % (2615230)------------------------------
% 12.13/5.16 % (2615230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615230)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615230)Termination reason: Instruction limit
% 12.13/5.16 % (2615230)Termination phase: Saturation
% 12.13/5.16 % (2615230)Time elapsed: 0.535 s
% 12.13/5.16 % (2615230)Peak memory usage: 119 MB
% 12.13/5.16 % (2615230)Instructions burned: 908 (million)
% 12.13/5.16 % (2615241)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2000622053:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 12.13/5.16 % (2615239)Instruction limit reached!
% 12.13/5.16 % (2615239)------------------------------
% 12.13/5.16 % (2615239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615239)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615239)Termination reason: Instruction limit
% 12.13/5.16 % (2615239)Termination phase: Property scanning
% 12.13/5.16 % (2615239)Time elapsed: 0.241 s
% 12.13/5.16 % (2615239)Peak memory usage: 124 MB
% 12.13/5.16 % (2615239)Instructions burned: 596 (million)
% 12.13/5.16 % (2615243)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=2108765369:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 12.13/5.16 % (2615243)Instruction limit reached!
% 12.13/5.16 % (2615243)------------------------------
% 12.13/5.16 % (2615243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615243)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615243)Termination reason: Instruction limit
% 12.13/5.16 % (2615243)Termination phase: Property scanning
% 12.13/5.16 % (2615243)Time elapsed: 0.029 s
% 12.13/5.16 % (2615243)Peak memory usage: 101 MB
% 12.13/5.16 % (2615243)Instructions burned: 126 (million)
% 12.13/5.16 % (2615245)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=301261687:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 12.13/5.16 % (2615245)Instruction limit reached!
% 12.13/5.16 % (2615245)------------------------------
% 12.13/5.16 % (2615245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615245)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615245)Termination reason: Instruction limit
% 12.13/5.16 % (2615245)Termination phase: Property scanning
% 12.13/5.16 % (2615245)Time elapsed: 0.031 s
% 12.13/5.16 % (2615245)Peak memory usage: 101 MB
% 12.13/5.16 % (2615245)Instructions burned: 136 (million)
% 12.13/5.16 % (2615247)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=56558974:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 12.13/5.16 % (2615247)Instruction limit reached!
% 12.13/5.16 % (2615247)------------------------------
% 12.13/5.16 % (2615247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615247)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615247)Termination reason: Instruction limit
% 12.13/5.16 % (2615247)Termination phase: Saturation
% 12.13/5.16 % (2615247)Time elapsed: 0.057 s
% 12.13/5.16 % (2615247)Peak memory usage: 106 MB
% 12.13/5.16 % (2615247)Instructions burned: 145 (million)
% 12.13/5.16 % (2615221)Instruction limit reached!
% 12.13/5.16 % (2615221)------------------------------
% 12.13/5.16 % (2615221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615221)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615221)Termination reason: Instruction limit
% 12.13/5.16 % (2615221)Termination phase: Saturation
% 12.13/5.16 % (2615221)Time elapsed: 1.449 s
% 12.13/5.16 % (2615221)Peak memory usage: 227 MB
% 12.13/5.16 % (2615221)Instructions burned: 2350 (million)
% 12.13/5.16 % (2615249)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3657627215:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 12.13/5.16 % (2615250)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=2406565187:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 12.13/5.16 % (2615249)Refutation not found, incomplete strategy
% 12.13/5.16 % (2615249)------------------------------
% 12.13/5.16 % (2615249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615249)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615249)Termination reason: Refutation not found, incomplete strategy
% 12.13/5.16 % (2615249)Time elapsed: 0.043 s
% 12.13/5.16 % (2615249)Peak memory usage: 106 MB
% 12.13/5.16 % (2615249)Instructions burned: 82 (million)
% 12.13/5.16 % (2615249)------------------------------
% 12.13/5.16 % (2615249)------------------------------
% 12.13/5.16 % (2615253)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=3954654220:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2969 on theBenchmark for (2969ds/150Mi)
% 12.13/5.16 % (2615253)Instruction limit reached!
% 12.13/5.16 % (2615253)------------------------------
% 12.13/5.16 % (2615253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/5.16 % (2615253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/5.16 % (2615253)CaDiCaL version: 2.1.3
% 12.13/5.16 % (2615253)Termination reason: Instruction limit
% 12.13/5.16 % (2615253)Termination phase: Preprocessing 1
% 12.13/5.16 % (2615253)Time elapsed: 0.066 s
% 12.13/5.16 % (2615253)Peak memory usage: 102 MB
% 12.13/5.16 % (2615253)Instructions burned: 152 (million)
% 12.13/5.16 % (2615255)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2131411795:i=14155:bd=all_2967 on theBenchmark for (2967ds/14155Mi)
% 12.13/5.16 % (2615200)First to succeed.
% 12.13/5.16 % (2615200)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2615193"
% 12.13/5.16 % (2615200)Refutation found. Thanks to Tanya!
% 12.13/5.16 % SZS status Theorem for theBenchmark
% 12.13/5.16 % SZS output start Proof for theBenchmark
% See solution above
% 26.93/5.36 % (2615200)------------------------------
% 26.93/5.36 % (2615200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.93/5.36 % (2615200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.93/5.36 % (2615200)CaDiCaL version: 2.1.3
% 26.93/5.36 % (2615200)Termination reason: Refutation
% 26.93/5.36 % (2615200)Time elapsed: 3.193 s
% 26.93/5.36 % (2615200)Peak memory usage: 216 MB
% 26.93/5.36 % (2615200)Instructions burned: 4889 (million)
% 26.93/5.36 % (2615200)------------------------------
% 26.93/5.36 % (2615200)------------------------------
% 26.93/5.36 % (2615193)Success in time 4.273 s
% 26.93/5.36 % Vampire exiting
%------------------------------------------------------------------------------