%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT355+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:47:15 AM UTC 2026
% Result : Theorem 6.10s 1.90s
% Output : Refutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 49
% Syntax : Number of formulae : 502 ( 79 unt; 30 def)
% Number of atoms : 3898 ( 92 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 6327 (2931 ~;2964 |; 352 &)
% ( 40 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 61 ( 59 usr; 31 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 272 ( 0 sgn 266 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) = k2_waybel34(X1,X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) = k2_waybel34(X1,X0,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f23,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f72,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v17_waybel_0(X2,X0,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f73,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v18_waybel_0(X2,X1,X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f74,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k3_waybel34(X0,X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_waybel34) ).
fof(f84,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_waybel34) ).
fof(f86,axiom,
! [X0,X1,X2] :
( ( l1_orders_2(X0)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel34) ).
fof(f90,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f122,axiom,
! [X0] :
( ( v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f126,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v18_waybel_0(X2,X1,X0)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v1_relat_1(k2_waybel34(X0,X1,X2))
& v1_funct_1(k2_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_partfun1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v19_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v21_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v4_waybel_1(k2_waybel34(X0,X1,X2),X0,X1)
& v5_orders_3(k2_waybel34(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel34) ).
fof(f127,axiom,
! [X0] :
( ( v3_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f130,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel34) ).
fof(f131,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f132,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel34) ).
fof(f137,axiom,
! [X0] :
( ( v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f141,axiom,
! [X0] :
( ( v1_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_yellow_7) ).
fof(f144,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_yellow_7) ).
fof(f188,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(f193,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
& m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0))) )
=> ( ( X2 = X4
& X3 = X5 )
=> ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_7) ).
fof(f200,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) != k2_waybel34(X1,X0,X2)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f201,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) != k2_waybel34(X1,X0,X2)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f200]) ).
fof(f229,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f230,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f229]) ).
fof(f318,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f319,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f318]) ).
fof(f320,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f321,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f320]) ).
fof(f322,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_waybel34(X0,X1,X2) = X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f323,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_waybel34(X0,X1,X2) = X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f322]) ).
fof(f330,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f84]) ).
fof(f331,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(flattening,[],[f330]) ).
fof(f332,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f333,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f332]) ).
fof(f336,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f371,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f122]) ).
fof(f372,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f371]) ).
fof(f376,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k2_waybel34(X0,X1,X2))
& v1_funct_1(k2_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_partfun1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v19_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v21_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v4_waybel_1(k2_waybel34(X0,X1,X2),X0,X1)
& v5_orders_3(k2_waybel34(X0,X1,X2),X0,X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f126]) ).
fof(f377,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k2_waybel34(X0,X1,X2))
& v1_funct_1(k2_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v1_partfun1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v19_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v21_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
& v4_waybel_1(k2_waybel34(X0,X1,X2),X0,X1)
& v5_orders_3(k2_waybel34(X0,X1,X2),X0,X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(flattening,[],[f376]) ).
fof(f378,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f127]) ).
fof(f379,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f378]) ).
fof(f384,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f130]) ).
fof(f385,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f384]) ).
fof(f386,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f131]) ).
fof(f387,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f386]) ).
fof(f388,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f132]) ).
fof(f389,plain,
! [X0,X1,X2] :
( ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f388]) ).
fof(f398,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f137]) ).
fof(f399,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f398]) ).
fof(f404,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0)) )
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f405,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0)) )
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f404]) ).
fof(f409,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f144]) ).
fof(f410,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f409]) ).
fof(f451,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0)) )
| X2 != X4
| X3 != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0))) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f193]) ).
fof(f452,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0)) )
| X2 != X4
| X3 != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0))) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f451]) ).
fof(f459,plain,
( k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k3_waybel34(sK0,sK1,sK2)) != k2_waybel34(sK1,sK0,sK2)
& v1_funct_1(sK2)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v18_waybel_0(sK2,sK0,sK1)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& v1_lattice3(sK1)
& v2_lattice3(sK1)
& v3_lattice3(sK1)
& l1_orders_2(sK1)
& v2_orders_2(sK0)
& v3_orders_2(sK0)
& v4_orders_2(sK0)
& v1_lattice3(sK0)
& v2_lattice3(sK0)
& v3_lattice3(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f201]) ).
fof(f460,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k1_waybel34(X0,X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f319]) ).
fof(f461,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k2_waybel34(X0,X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) )
& ( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f321]) ).
fof(f500,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,[],[f188]) ).
fof(f502,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0)) )
& ( v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) )
| X2 != X4
| X3 != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0))) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f452]) ).
fof(f503,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f459]) ).
fof(f504,plain,
v3_lattice3(sK0),
inference(cnf_transformation,[],[f459]) ).
fof(f505,plain,
v2_lattice3(sK0),
inference(cnf_transformation,[],[f459]) ).
fof(f506,plain,
v1_lattice3(sK0),
inference(cnf_transformation,[],[f459]) ).
fof(f507,plain,
v4_orders_2(sK0),
inference(cnf_transformation,[],[f459]) ).
fof(f508,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f459]) ).
fof(f509,plain,
v2_orders_2(sK0),
inference(cnf_transformation,[],[f459]) ).
fof(f510,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f459]) ).
fof(f511,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f459]) ).
fof(f512,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f459]) ).
fof(f513,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f459]) ).
fof(f514,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f459]) ).
fof(f515,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f459]) ).
fof(f516,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f459]) ).
fof(f517,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f459]) ).
fof(f518,plain,
v18_waybel_0(sK2,sK0,sK1),
inference(cnf_transformation,[],[f459]) ).
fof(f519,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f459]) ).
fof(f520,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f459]) ).
fof(f521,plain,
k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k3_waybel34(sK0,sK1,sK2)) != k2_waybel34(sK1,sK0,sK2),
inference(cnf_transformation,[],[f459]) ).
fof(f591,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f820,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| k1_waybel34(X0,X1,X2) = X3
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f460]) ).
fof(f821,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f461]) ).
fof(f822,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X3)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) = X3
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f461]) ).
fof(f823,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| k3_waybel34(X0,X1,X2) = X2
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f832,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f331]) ).
fof(f834,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f331]) ).
fof(f835,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ),
inference(cnf_transformation,[],[f333]) ).
fof(f836,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f333]) ).
fof(f837,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_1(k3_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f333]) ).
fof(f840,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f336]) ).
fof(f930,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f946,plain,
! [X2,X0,X1] :
( v17_waybel_0(k2_waybel34(X0,X1,X2),X0,X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f377]) ).
fof(f948,plain,
! [X2,X0,X1] :
( v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f377]) ).
fof(f950,plain,
! [X2,X0,X1] :
( ~ v18_waybel_0(X2,X1,X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f377]) ).
fof(f952,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f962,plain,
! [X2,X0,X1] :
( v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f385]) ).
fof(f968,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f387]) ).
fof(f974,plain,
! [X2,X0,X1] :
( v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f389]) ).
fof(f992,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f399]) ).
fof(f1005,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f1014,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f410]) ).
fof(f1305,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f500]) ).
fof(f1312,plain,
! [X2,X3,X0,X1,X4,X5] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| X2 != X4
| X3 != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f502]) ).
fof(f1321,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f821]) ).
fof(f1324,plain,
! [X3,X0,X1,X4,X5] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X4,X3),X0,X1)
| X3 != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f1312]) ).
fof(f1325,plain,
! [X0,X1,X4,X5] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X4,X5),X0,X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f1324]) ).
fof(f1326,plain,
! [X0,X1,X4,X5] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X4,X5),X0,X1)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f1325]) ).
fof(f1365,plain,
! [X0,X1] :
( ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK2,u1_struct_0(X0),u1_struct_0(X1))
| sK2 = k3_waybel34(X0,X1,sK2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f823,f520]) ).
fof(f1369,plain,
m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f1305,f517]) ).
fof(f1370,plain,
( ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1))) ),
inference(resolution,[],[f1369,f835]) ).
fof(f1371,plain,
( ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_1(k3_waybel34(sK0,sK1,sK2)) ),
inference(resolution,[],[f1369,f837]) ).
fof(f1374,plain,
( ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_1(k3_waybel34(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f1371,f503]) ).
fof(f1375,plain,
( ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1))) ),
inference(forward_subsumption_resolution,[],[f1370,f503]) ).
fof(f1377,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_1(k3_waybel34(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f1374,f510]) ).
fof(f1378,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1))) ),
inference(forward_subsumption_resolution,[],[f1375,f510]) ).
fof(f1380,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_1(k3_waybel34(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f1377,f520]) ).
fof(f1381,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1))) ),
inference(forward_subsumption_resolution,[],[f1378,f520]) ).
fof(f1383,plain,
v1_funct_1(k3_waybel34(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[],[f1380,f519]) ).
fof(f1384,plain,
m2_relset_1(k3_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1))),
inference(forward_subsumption_resolution,[],[f1381,f519]) ).
fof(f1399,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(k3_waybel34(sK0,sK1,sK2),u1_struct_0(X0),u1_struct_0(X1))
| k2_waybel34(X0,X1,X2) = k3_waybel34(sK0,sK1,sK2)
| ~ v1_funct_2(k3_waybel34(sK0,sK1,sK2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_waybel_1(k1_waybel_1(X0,X1,k3_waybel34(sK0,sK1,sK2),X2),X0,X1)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f1383,f822]) ).
fof(f1406,definition,
( spl41_1
<=> l1_orders_2(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl41_1])],[avatar_definition]) ).
fof(f1407,plain,
( ~ l1_orders_2(k7_lattice3(sK1))
| spl41_1 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1409,definition,
( spl41_2
<=> v2_lattice3(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl41_2])],[avatar_definition]) ).
fof(f1410,plain,
( ~ v2_lattice3(k7_lattice3(sK1))
| spl41_2 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1412,definition,
( spl41_3
<=> v1_lattice3(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl41_3])],[avatar_definition]) ).
fof(f1413,plain,
( ~ v1_lattice3(k7_lattice3(sK1))
| spl41_3 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1415,definition,
( spl41_4
<=> v4_orders_2(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl41_4])],[avatar_definition]) ).
fof(f1416,plain,
( ~ v4_orders_2(k7_lattice3(sK1))
| spl41_4 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1418,definition,
( spl41_5
<=> v3_orders_2(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl41_5])],[avatar_definition]) ).
fof(f1419,plain,
( ~ v3_orders_2(k7_lattice3(sK1))
| spl41_5 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1421,definition,
( spl41_6
<=> v2_orders_2(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl41_6])],[avatar_definition]) ).
fof(f1422,plain,
( ~ v2_orders_2(k7_lattice3(sK1))
| spl41_6 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1424,definition,
( spl41_7
<=> l1_orders_2(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_7])],[avatar_definition]) ).
fof(f1425,plain,
( ~ l1_orders_2(k7_lattice3(sK0))
| spl41_7 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1427,definition,
( spl41_8
<=> v2_lattice3(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_8])],[avatar_definition]) ).
fof(f1428,plain,
( ~ v2_lattice3(k7_lattice3(sK0))
| spl41_8 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f1430,definition,
( spl41_9
<=> v1_lattice3(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_9])],[avatar_definition]) ).
fof(f1431,plain,
( ~ v1_lattice3(k7_lattice3(sK0))
| spl41_9 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1433,definition,
( spl41_10
<=> v4_orders_2(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_10])],[avatar_definition]) ).
fof(f1434,plain,
( ~ v4_orders_2(k7_lattice3(sK0))
| spl41_10 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1436,definition,
( spl41_11
<=> v3_orders_2(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_11])],[avatar_definition]) ).
fof(f1437,plain,
( ~ v3_orders_2(k7_lattice3(sK0))
| spl41_11 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1439,definition,
( spl41_12
<=> v2_orders_2(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_12])],[avatar_definition]) ).
fof(f1440,plain,
( ~ v2_orders_2(k7_lattice3(sK0))
| spl41_12 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f1442,definition,
( spl41_13
<=> v3_lattice3(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_13])],[avatar_definition]) ).
fof(f1443,plain,
( ~ v3_lattice3(k7_lattice3(sK0))
| spl41_13 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1445,definition,
( spl41_14
<=> v3_lattice3(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl41_14])],[avatar_definition]) ).
fof(f1446,plain,
( ~ v3_lattice3(k7_lattice3(sK1))
| spl41_14 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1463,definition,
( spl41_17
<=> v3_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl41_17])],[avatar_definition]) ).
fof(f1464,plain,
( v3_struct_0(sK1)
| ~ spl41_17 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f1466,definition,
( spl41_18
<=> v3_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl41_18])],[avatar_definition]) ).
fof(f1467,plain,
( v3_struct_0(sK0)
| ~ spl41_18 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f1488,plain,
( ~ l1_orders_2(sK1)
| spl41_1 ),
inference(resolution,[],[f1407,f840]) ).
fof(f1490,plain,
( $false
| spl41_1 ),
inference(forward_subsumption_resolution,[],[f1488,f510]) ).
fof(f1491,plain,
spl41_1,
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1493,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| spl41_2 ),
inference(resolution,[],[f1410,f1005]) ).
fof(f1495,plain,
( ~ l1_orders_2(sK1)
| spl41_2 ),
inference(forward_subsumption_resolution,[],[f1493,f513]) ).
fof(f1496,plain,
( $false
| spl41_2 ),
inference(forward_subsumption_resolution,[],[f1495,f510]) ).
fof(f1497,plain,
spl41_2,
inference(avatar_contradiction_clause,[],[f1496]) ).
fof(f1499,plain,
( ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| spl41_3 ),
inference(resolution,[],[f1413,f992]) ).
fof(f1501,plain,
( ~ l1_orders_2(sK1)
| spl41_3 ),
inference(forward_subsumption_resolution,[],[f1499,f512]) ).
fof(f1502,plain,
( $false
| spl41_3 ),
inference(forward_subsumption_resolution,[],[f1501,f510]) ).
fof(f1503,plain,
spl41_3,
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1505,plain,
( ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| spl41_4 ),
inference(resolution,[],[f1416,f968]) ).
fof(f1507,plain,
( ~ l1_orders_2(sK1)
| spl41_4 ),
inference(forward_subsumption_resolution,[],[f1505,f514]) ).
fof(f1508,plain,
( $false
| spl41_4 ),
inference(forward_subsumption_resolution,[],[f1507,f510]) ).
fof(f1509,plain,
spl41_4,
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1511,plain,
( ~ v3_orders_2(sK1)
| ~ l1_orders_2(sK1)
| spl41_5 ),
inference(resolution,[],[f1419,f952]) ).
fof(f1513,plain,
( ~ l1_orders_2(sK1)
| spl41_5 ),
inference(forward_subsumption_resolution,[],[f1511,f515]) ).
fof(f1514,plain,
( $false
| spl41_5 ),
inference(forward_subsumption_resolution,[],[f1513,f510]) ).
fof(f1515,plain,
spl41_5,
inference(avatar_contradiction_clause,[],[f1514]) ).
fof(f1517,plain,
( ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK1)
| spl41_6 ),
inference(resolution,[],[f1422,f930]) ).
fof(f1519,plain,
( ~ l1_orders_2(sK1)
| spl41_6 ),
inference(forward_subsumption_resolution,[],[f1517,f516]) ).
fof(f1520,plain,
( $false
| spl41_6 ),
inference(forward_subsumption_resolution,[],[f1519,f510]) ).
fof(f1521,plain,
spl41_6,
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f1523,plain,
( ~ l1_orders_2(sK0)
| spl41_7 ),
inference(resolution,[],[f1425,f840]) ).
fof(f1525,plain,
( $false
| spl41_7 ),
inference(forward_subsumption_resolution,[],[f1523,f503]) ).
fof(f1526,plain,
spl41_7,
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1528,plain,
( ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| spl41_8 ),
inference(resolution,[],[f1428,f1005]) ).
fof(f1530,plain,
( ~ l1_orders_2(sK0)
| spl41_8 ),
inference(forward_subsumption_resolution,[],[f1528,f506]) ).
fof(f1531,plain,
( $false
| spl41_8 ),
inference(forward_subsumption_resolution,[],[f1530,f503]) ).
fof(f1532,plain,
spl41_8,
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1534,plain,
( ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| spl41_9 ),
inference(resolution,[],[f1431,f992]) ).
fof(f1536,plain,
( ~ l1_orders_2(sK0)
| spl41_9 ),
inference(forward_subsumption_resolution,[],[f1534,f505]) ).
fof(f1537,plain,
( $false
| spl41_9 ),
inference(forward_subsumption_resolution,[],[f1536,f503]) ).
fof(f1538,plain,
spl41_9,
inference(avatar_contradiction_clause,[],[f1537]) ).
fof(f1540,plain,
( ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| spl41_10 ),
inference(resolution,[],[f1434,f968]) ).
fof(f1542,plain,
( ~ l1_orders_2(sK0)
| spl41_10 ),
inference(forward_subsumption_resolution,[],[f1540,f507]) ).
fof(f1543,plain,
( $false
| spl41_10 ),
inference(forward_subsumption_resolution,[],[f1542,f503]) ).
fof(f1544,plain,
spl41_10,
inference(avatar_contradiction_clause,[],[f1543]) ).
fof(f1546,plain,
( ~ v3_orders_2(sK0)
| ~ l1_orders_2(sK0)
| spl41_11 ),
inference(resolution,[],[f1437,f952]) ).
fof(f1548,plain,
( ~ l1_orders_2(sK0)
| spl41_11 ),
inference(forward_subsumption_resolution,[],[f1546,f508]) ).
fof(f1549,plain,
( $false
| spl41_11 ),
inference(forward_subsumption_resolution,[],[f1548,f503]) ).
fof(f1550,plain,
spl41_11,
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1552,plain,
( ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK0)
| spl41_12 ),
inference(resolution,[],[f1440,f930]) ).
fof(f1554,plain,
( ~ l1_orders_2(sK0)
| spl41_12 ),
inference(forward_subsumption_resolution,[],[f1552,f509]) ).
fof(f1555,plain,
( $false
| spl41_12 ),
inference(forward_subsumption_resolution,[],[f1554,f503]) ).
fof(f1556,plain,
spl41_12,
inference(avatar_contradiction_clause,[],[f1555]) ).
fof(f1570,plain,
! [X0] :
( k3_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v1_funct_2(k3_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),k3_waybel34(sK0,sK1,sK2),X0),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) ),
inference(resolution,[],[f1399,f1384]) ).
fof(f1616,plain,
! [X0,X1] :
( ~ m1_relset_1(sK2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| m2_relset_1(k2_waybel34(X0,X1,sK2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X0) ),
inference(resolution,[],[f832,f520]) ).
fof(f1618,plain,
( ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(resolution,[],[f1616,f1369]) ).
fof(f1619,plain,
( ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1618,f515]) ).
fof(f1620,plain,
( ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1619,f514]) ).
fof(f1621,plain,
( ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1620,f513]) ).
fof(f1622,plain,
( ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1621,f512]) ).
fof(f1623,plain,
( ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1622,f510]) ).
fof(f1624,plain,
( ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1623,f509]) ).
fof(f1625,plain,
( ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1624,f508]) ).
fof(f1626,plain,
( ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1625,f507]) ).
fof(f1627,plain,
( ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1626,f506]) ).
fof(f1628,plain,
( ~ l1_orders_2(sK0)
| m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1627,f505]) ).
fof(f1629,plain,
( m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1628,f503]) ).
fof(f1630,plain,
( m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1629,f519]) ).
fof(f1631,plain,
m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0)),
inference(forward_subsumption_resolution,[],[f1630,f516]) ).
fof(f1632,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v3_lattice3(sK1)
| ~ v3_lattice3(sK0)
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(resolution,[],[f1631,f1321]) ).
fof(f1634,plain,
m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0)),
inference(resolution,[],[f1631,f1305]) ).
fof(f1636,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v3_lattice3(sK0)
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1632,f511]) ).
fof(f1638,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1636,f504]) ).
fof(f1640,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1638,f518]) ).
fof(f1642,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1640,f520]) ).
fof(f1644,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1642,f519]) ).
fof(f1646,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1644,f517]) ).
fof(f1648,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1646,f509]) ).
fof(f1650,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1648,f508]) ).
fof(f1652,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1650,f507]) ).
fof(f1654,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1652,f506]) ).
fof(f1656,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1654,f505]) ).
fof(f1658,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1656,f503]) ).
fof(f1660,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1658,f516]) ).
fof(f1662,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1660,f515]) ).
fof(f1664,definition,
( spl41_24
<=> v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_24])],[avatar_definition]) ).
fof(f1665,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl41_24 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f1667,definition,
( spl41_25
<=> v1_funct_1(k2_waybel34(sK1,sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl41_25])],[avatar_definition]) ).
fof(f1668,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| spl41_25 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1673,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1662,f514]) ).
fof(f1674,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1673,f513]) ).
fof(f1675,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1674,f512]) ).
fof(f1676,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f1675,f510]) ).
fof(f1678,definition,
( spl41_27
<=> v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl41_27])],[avatar_definition]) ).
fof(f1679,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK0,k2_waybel34(sK1,sK0,sK2),sK2),sK1,sK0)
| ~ spl41_27 ),
inference(avatar_component_clause,[],[f1678]) ).
fof(f1680,plain,
( spl41_27
| ~ spl41_24
| ~ spl41_25 ),
inference(avatar_split_clause,[],[f1676,f1667,f1664,f1678]) ).
fof(f1682,plain,
( ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(resolution,[],[f1665,f948]) ).
fof(f1684,plain,
( ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1682,f516]) ).
fof(f1685,plain,
( ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1684,f515]) ).
fof(f1686,plain,
( ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1685,f514]) ).
fof(f1687,plain,
( ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1686,f513]) ).
fof(f1688,plain,
( ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1687,f512]) ).
fof(f1689,plain,
( ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1688,f511]) ).
fof(f1690,plain,
( ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1689,f510]) ).
fof(f1691,plain,
( ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1690,f509]) ).
fof(f1692,plain,
( ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1691,f508]) ).
fof(f1693,plain,
( ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1692,f507]) ).
fof(f1694,plain,
( ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1693,f506]) ).
fof(f1695,plain,
( ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1694,f505]) ).
fof(f1696,plain,
( ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1695,f504]) ).
fof(f1697,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1696,f503]) ).
fof(f1698,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1697,f520]) ).
fof(f1699,plain,
( ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1698,f519]) ).
fof(f1700,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1699,f518]) ).
fof(f1701,plain,
( $false
| spl41_24 ),
inference(forward_subsumption_resolution,[],[f1700,f1369]) ).
fof(f1702,plain,
spl41_24,
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1703,plain,
( $false
| spl41_25 ),
inference(unit_resulting_resolution,[],[f950,f515,f514,f516,f520,f503,f504,f505,f506,f507,f508,f509,f510,f511,f512,f513,f518,f1369,f519,f1668]) ).
fof(f1704,plain,
spl41_25,
inference(avatar_contradiction_clause,[],[f1703]) ).
fof(f1708,definition,
( spl41_28
<=> v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl41_28])],[avatar_definition]) ).
fof(f1709,plain,
( ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| spl41_28 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f1714,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| m2_relset_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0))) ),
inference(resolution,[],[f1634,f835]) ).
fof(f1715,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))) ),
inference(resolution,[],[f1634,f837]) ).
fof(f1722,plain,
( ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))) ),
inference(forward_subsumption_resolution,[],[f1715,f510]) ).
fof(f1723,plain,
( ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| m2_relset_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0))) ),
inference(forward_subsumption_resolution,[],[f1714,f510]) ).
fof(f1725,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))) ),
inference(forward_subsumption_resolution,[],[f1722,f503]) ).
fof(f1726,plain,
( ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| m2_relset_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0))) ),
inference(forward_subsumption_resolution,[],[f1723,f503]) ).
fof(f1729,definition,
( spl41_30
<=> v1_funct_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl41_30])],[avatar_definition]) ).
fof(f1730,plain,
( v1_funct_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)))
| ~ spl41_30 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f1731,plain,
( spl41_30
| ~ spl41_24
| ~ spl41_25 ),
inference(avatar_split_clause,[],[f1725,f1667,f1664,f1729]) ).
fof(f1733,definition,
( spl41_31
<=> m2_relset_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0))) ),
introduced(definition,[new_symbols(definition,[spl41_31])],[avatar_definition]) ).
fof(f1734,plain,
( m2_relset_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl41_31 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f1735,plain,
( spl41_31
| ~ spl41_24
| ~ spl41_25 ),
inference(avatar_split_clause,[],[f1726,f1667,f1664,f1733]) ).
fof(f1755,plain,
( ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(resolution,[],[f1709,f946]) ).
fof(f1757,plain,
( ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1755,f516]) ).
fof(f1758,plain,
( ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1757,f515]) ).
fof(f1759,plain,
( ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1758,f514]) ).
fof(f1760,plain,
( ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1759,f513]) ).
fof(f1761,plain,
( ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1760,f512]) ).
fof(f1762,plain,
( ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1761,f511]) ).
fof(f1763,plain,
( ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1762,f510]) ).
fof(f1764,plain,
( ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1763,f509]) ).
fof(f1765,plain,
( ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1764,f508]) ).
fof(f1766,plain,
( ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1765,f507]) ).
fof(f1767,plain,
( ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1766,f506]) ).
fof(f1768,plain,
( ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1767,f505]) ).
fof(f1769,plain,
( ~ l1_orders_2(sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1768,f504]) ).
fof(f1770,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1769,f503]) ).
fof(f1771,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1770,f520]) ).
fof(f1772,plain,
( ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1771,f519]) ).
fof(f1773,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1772,f518]) ).
fof(f1774,plain,
( $false
| spl41_28 ),
inference(forward_subsumption_resolution,[],[f1773,f1369]) ).
fof(f1775,plain,
spl41_28,
inference(avatar_contradiction_clause,[],[f1774]) ).
fof(f1782,plain,
! [X0,X1] :
( ~ m1_relset_1(sK2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| v1_funct_1(k2_waybel34(X0,X1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X0) ),
inference(resolution,[],[f834,f520]) ).
fof(f1785,plain,
( ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(resolution,[],[f1782,f1369]) ).
fof(f1786,plain,
( ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1785,f515]) ).
fof(f1787,plain,
( ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1786,f514]) ).
fof(f1788,plain,
( ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1787,f513]) ).
fof(f1789,plain,
( ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1788,f512]) ).
fof(f1790,plain,
( ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1789,f510]) ).
fof(f1791,plain,
( ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1790,f509]) ).
fof(f1792,plain,
( ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1791,f508]) ).
fof(f1793,plain,
( ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1792,f507]) ).
fof(f1794,plain,
( ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1793,f506]) ).
fof(f1795,plain,
( ~ l1_orders_2(sK0)
| v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1794,f505]) ).
fof(f1796,plain,
( v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1795,f503]) ).
fof(f1797,plain,
( v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v2_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f1796,f519]) ).
fof(f1798,plain,
v1_funct_1(k2_waybel34(sK1,sK0,sK2)),
inference(forward_subsumption_resolution,[],[f1797,f516]) ).
fof(f1802,plain,
! [X0,X1] :
( ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(X0),u1_struct_0(X1))
| k2_waybel34(sK1,sK0,sK2) = k3_waybel34(X0,X1,k2_waybel34(sK1,sK0,sK2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f1798,f823]) ).
fof(f2163,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),X0,k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_1(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)))
| ~ v1_funct_2(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(X0,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) )
| ~ spl41_31 ),
inference(resolution,[],[f1734,f820]) ).
fof(f2218,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| sK2 = k3_waybel34(sK0,sK1,sK2)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) ),
inference(resolution,[],[f1365,f517]) ).
fof(f2219,plain,
( sK2 = k3_waybel34(sK0,sK1,sK2)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f2218,f519]) ).
fof(f2220,plain,
( sK2 = k3_waybel34(sK0,sK1,sK2)
| ~ l1_orders_2(sK0) ),
inference(forward_subsumption_resolution,[],[f2219,f510]) ).
fof(f2221,plain,
sK2 = k3_waybel34(sK0,sK1,sK2),
inference(forward_subsumption_resolution,[],[f2220,f503]) ).
fof(f2222,plain,
k2_waybel34(sK1,sK0,sK2) != k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),sK2),
inference(superposition,[],[f521,f2221]) ).
fof(f2224,plain,
m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1))),
inference(superposition,[],[f1384,f2221]) ).
fof(f2228,plain,
( v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(superposition,[],[f836,f2221]) ).
fof(f2234,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(superposition,[],[f974,f2221]) ).
fof(f2237,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2234,f509]) ).
fof(f2239,plain,
( v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2228,f503]) ).
fof(f2243,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2237,f508]) ).
fof(f2245,plain,
( v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2239,f510]) ).
fof(f2247,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2243,f507]) ).
fof(f2249,plain,
( v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2245,f520]) ).
fof(f2251,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2247,f506]) ).
fof(f2253,plain,
( v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2249,f519]) ).
fof(f2255,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2251,f505]) ).
fof(f2257,plain,
v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1))),
inference(forward_subsumption_resolution,[],[f2253,f1369]) ).
fof(f2259,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ l1_orders_2(sK0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2255,f504]) ).
fof(f2261,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2259,f503]) ).
fof(f2263,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2261,f516]) ).
fof(f2265,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2263,f515]) ).
fof(f2267,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2265,f514]) ).
fof(f2269,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2267,f513]) ).
fof(f2271,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2269,f512]) ).
fof(f2273,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2271,f511]) ).
fof(f2275,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2273,f510]) ).
fof(f2277,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2275,f520]) ).
fof(f2279,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v18_waybel_0(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2277,f519]) ).
fof(f2281,plain,
( v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f2279,f518]) ).
fof(f2283,plain,
v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1)),
inference(forward_subsumption_resolution,[],[f2281,f1369]) ).
fof(f2335,plain,
( v3_struct_0(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| spl41_13 ),
inference(resolution,[],[f1014,f1443]) ).
fof(f2336,plain,
( v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl41_13 ),
inference(forward_subsumption_resolution,[],[f2335,f504]) ).
fof(f2337,plain,
( v3_struct_0(sK0)
| spl41_13 ),
inference(forward_subsumption_resolution,[],[f2336,f503]) ).
fof(f2338,plain,
( spl41_18
| spl41_13 ),
inference(avatar_split_clause,[],[f2337,f1442,f1466]) ).
fof(f2478,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| k2_waybel34(sK1,sK0,sK2) = k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1) ),
inference(resolution,[],[f1802,f1631]) ).
fof(f2479,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| k2_waybel34(sK1,sK0,sK2) = k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))
| ~ l1_orders_2(sK1) ),
inference(forward_subsumption_resolution,[],[f2478,f503]) ).
fof(f2480,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| k2_waybel34(sK1,sK0,sK2) = k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)) ),
inference(forward_subsumption_resolution,[],[f2479,f510]) ).
fof(f2482,definition,
( spl41_72
<=> k2_waybel34(sK1,sK0,sK2) = k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl41_72])],[avatar_definition]) ).
fof(f2483,plain,
( k2_waybel34(sK1,sK0,sK2) = k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))
| ~ spl41_72 ),
inference(avatar_component_clause,[],[f2482]) ).
fof(f2484,plain,
( spl41_72
| ~ spl41_24 ),
inference(avatar_split_clause,[],[f2480,f1664,f2482]) ).
fof(f2486,plain,
( m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl41_31
| ~ spl41_72 ),
inference(superposition,[],[f1734,f2483]) ).
fof(f2488,plain,
( v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(superposition,[],[f836,f2483]) ).
fof(f2491,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(superposition,[],[f962,f2483]) ).
fof(f2499,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2491,f516]) ).
fof(f2502,plain,
( v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2488,f510]) ).
fof(f2506,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2499,f515]) ).
fof(f2509,plain,
( v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2502,f503]) ).
fof(f2511,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2506,f514]) ).
fof(f2514,plain,
( v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2509,f1798]) ).
fof(f2516,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2511,f513]) ).
fof(f2519,plain,
( v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2514,f1634]) ).
fof(f2521,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2516,f512]) ).
fof(f2525,definition,
( spl41_73
<=> v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0))) ),
introduced(definition,[new_symbols(definition,[spl41_73])],[avatar_definition]) ).
fof(f2526,plain,
( v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl41_73 ),
inference(avatar_component_clause,[],[f2525]) ).
fof(f2527,plain,
( ~ spl41_24
| spl41_73
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f2519,f2482,f2525,f1664]) ).
fof(f2529,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2521,f511]) ).
fof(f2533,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2529,f510]) ).
fof(f2537,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2533,f509]) ).
fof(f2541,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v4_orders_2(sK0)
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2537,f508]) ).
fof(f2545,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_lattice3(sK0)
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2541,f507]) ).
fof(f2549,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v2_lattice3(sK0)
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2545,f506]) ).
fof(f2553,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v3_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2549,f505]) ).
fof(f2557,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ l1_orders_2(sK0)
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2553,f504]) ).
fof(f2561,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2557,f503]) ).
fof(f2565,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ m1_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2561,f1798]) ).
fof(f2569,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v17_waybel_0(k2_waybel34(sK1,sK0,sK2),sK1,sK0)
| ~ spl41_72 ),
inference(forward_subsumption_resolution,[],[f2565,f1634]) ).
fof(f2574,definition,
( spl41_74
<=> v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl41_74])],[avatar_definition]) ).
fof(f2575,plain,
( v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ spl41_74 ),
inference(avatar_component_clause,[],[f2574]) ).
fof(f2576,plain,
( ~ spl41_28
| ~ spl41_24
| spl41_74
| ~ spl41_72 ),
inference(avatar_split_clause,[],[f2569,f2482,f2574,f1664,f1708]) ).
fof(f2589,plain,
( ~ v1_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl41_17 ),
inference(resolution,[],[f591,f1464]) ).
fof(f2590,plain,
( ~ v1_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ spl41_18 ),
inference(resolution,[],[f591,f1467]) ).
fof(f2593,plain,
( ~ l1_orders_2(sK0)
| ~ spl41_18 ),
inference(forward_subsumption_resolution,[],[f2590,f506]) ).
fof(f2594,plain,
( ~ l1_orders_2(sK1)
| ~ spl41_17 ),
inference(forward_subsumption_resolution,[],[f2589,f513]) ).
fof(f2595,plain,
( $false
| ~ spl41_18 ),
inference(forward_subsumption_resolution,[],[f2593,f503]) ).
fof(f2596,plain,
~ spl41_18,
inference(avatar_contradiction_clause,[],[f2595]) ).
fof(f2597,plain,
( $false
| ~ spl41_17 ),
inference(forward_subsumption_resolution,[],[f2594,f510]) ).
fof(f2598,plain,
~ spl41_17,
inference(avatar_contradiction_clause,[],[f2597]) ).
fof(f2617,plain,
( v3_struct_0(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| spl41_14 ),
inference(resolution,[],[f1446,f1014]) ).
fof(f2618,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| spl41_14 ),
inference(forward_subsumption_resolution,[],[f2617,f511]) ).
fof(f2619,plain,
( v3_struct_0(sK1)
| spl41_14 ),
inference(forward_subsumption_resolution,[],[f2618,f510]) ).
fof(f2620,plain,
( spl41_17
| spl41_14 ),
inference(avatar_split_clause,[],[f2619,f1445,f1463]) ).
fof(f2623,plain,
! [X0] :
( sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v1_funct_2(k3_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),k3_waybel34(sK0,sK1,sK2),X0),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) ),
inference(forward_demodulation,[],[f1570,f2221]) ).
fof(f2624,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),X0,k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2))),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_2(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(X0,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) )
| ~ spl41_30
| ~ spl41_31 ),
inference(forward_subsumption_resolution,[],[f2163,f1730]) ).
fof(f2637,plain,
! [X0] :
( ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),k3_waybel34(sK0,sK1,sK2),X0),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) ),
inference(forward_demodulation,[],[f2623,f2221]) ).
fof(f2638,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),X0,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_2(k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(X0,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) )
| ~ spl41_30
| ~ spl41_31
| ~ spl41_72 ),
inference(forward_demodulation,[],[f2624,f2483]) ).
fof(f2642,definition,
( spl41_77
<=> ! [X0] :
( sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,X0),k7_lattice3(sK0),k7_lattice3(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl41_77])],[avatar_definition]) ).
fof(f2643,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,X0),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0) )
| ~ spl41_77 ),
inference(avatar_component_clause,[],[f2642]) ).
fof(f2653,plain,
! [X0] :
( sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),k3_waybel34(sK0,sK1,sK2),X0),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) ),
inference(forward_subsumption_resolution,[],[f2637,f2257]) ).
fof(f2654,plain,
( ! [X0] :
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),X0,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(X0,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) )
| ~ spl41_30
| ~ spl41_31
| ~ spl41_72 ),
inference(forward_demodulation,[],[f2638,f2483]) ).
fof(f2670,plain,
! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,X0),k7_lattice3(sK0),k7_lattice3(sK1))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) ),
inference(forward_demodulation,[],[f2653,f2221]) ).
fof(f2671,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),X0,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| k3_waybel34(sK1,sK0,k2_waybel34(sK1,sK0,sK2)) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(X0,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) )
| ~ spl41_30
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73 ),
inference(forward_subsumption_resolution,[],[f2654,f2526]) ).
fof(f2689,plain,
( ~ spl41_7
| ~ spl41_8
| ~ spl41_9
| ~ spl41_10
| ~ spl41_11
| ~ spl41_12
| ~ spl41_1
| ~ spl41_2
| ~ spl41_3
| ~ spl41_4
| ~ spl41_5
| ~ spl41_6
| ~ spl41_14
| ~ spl41_13
| spl41_77 ),
inference(avatar_split_clause,[],[f2670,f2642,f1442,f1445,f1421,f1418,f1415,f1412,f1409,f1406,f1439,f1436,f1433,f1430,f1427,f1424]) ).
fof(f2690,plain,
( ! [X0] :
( k2_waybel34(sK1,sK0,sK2) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),X0,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(X0,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0)) )
| ~ spl41_30
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73 ),
inference(forward_demodulation,[],[f2671,f2483]) ).
fof(f2713,definition,
( spl41_88
<=> ! [X0] :
( k2_waybel34(sK1,sK0,sK2) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),X0,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl41_88])],[avatar_definition]) ).
fof(f2714,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),X0,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(X0,k7_lattice3(sK0),k7_lattice3(sK1))
| k2_waybel34(sK1,sK0,sK2) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0) )
| ~ spl41_88 ),
inference(avatar_component_clause,[],[f2713]) ).
fof(f2715,plain,
( ~ spl41_7
| ~ spl41_8
| ~ spl41_9
| ~ spl41_10
| ~ spl41_11
| ~ spl41_12
| ~ spl41_1
| ~ spl41_2
| ~ spl41_3
| ~ spl41_4
| ~ spl41_5
| ~ spl41_6
| ~ spl41_14
| ~ spl41_13
| spl41_88
| ~ spl41_30
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73 ),
inference(avatar_split_clause,[],[f2690,f2525,f2482,f1733,f1729,f2713,f1442,f1445,f1421,f1418,f1415,f1412,f1409,f1406,f1439,f1436,f1433,f1430,f1427,f1424]) ).
fof(f2739,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(resolution,[],[f2643,f1326]) ).
fof(f2740,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(duplicate_literal_removal,[],[f2739]) ).
fof(f2741,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2740,f520]) ).
fof(f2742,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2741,f2257]) ).
fof(f2743,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2742,f2224]) ).
fof(f2744,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2743,f519]) ).
fof(f2745,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2744,f517]) ).
fof(f2746,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2745,f509]) ).
fof(f2747,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_orders_2(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2746,f508]) ).
fof(f2748,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2747,f507]) ).
fof(f2749,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2748,f503]) ).
fof(f2750,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2749,f516]) ).
fof(f2751,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2750,f515]) ).
fof(f2752,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2751,f514]) ).
fof(f2753,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| v3_struct_0(sK0)
| v3_struct_0(sK1) )
| ~ spl41_77 ),
inference(forward_subsumption_resolution,[],[f2752,f510]) ).
fof(f2755,definition,
( spl41_91
<=> ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl41_91])],[avatar_definition]) ).
fof(f2756,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK1,sK0,X0,sK2),sK1,sK0)
| ~ m2_relset_1(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(X0,u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),X0)
| ~ v18_waybel_0(X0,k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0))) )
| ~ spl41_91 ),
inference(avatar_component_clause,[],[f2755]) ).
fof(f2757,plain,
( spl41_17
| spl41_18
| spl41_91
| ~ spl41_77 ),
inference(avatar_split_clause,[],[f2753,f2642,f2755,f1466,f1463]) ).
fof(f2794,plain,
( ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k2_waybel34(sK1,sK0,sK2))
| ~ v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl41_27
| ~ spl41_91 ),
inference(resolution,[],[f2756,f1679]) ).
fof(f2795,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k2_waybel34(sK1,sK0,sK2))
| ~ v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl41_27
| ~ spl41_91 ),
inference(forward_subsumption_resolution,[],[f2794,f1631]) ).
fof(f2796,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k2_waybel34(sK1,sK0,sK2))
| ~ v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl41_27
| ~ spl41_31
| ~ spl41_72
| ~ spl41_91 ),
inference(forward_subsumption_resolution,[],[f2795,f2486]) ).
fof(f2797,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl41_27
| ~ spl41_31
| ~ spl41_72
| ~ spl41_74
| ~ spl41_91 ),
inference(forward_subsumption_resolution,[],[f2796,f2575]) ).
fof(f2798,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl41_27
| ~ spl41_31
| ~ spl41_72
| ~ spl41_74
| ~ spl41_91 ),
inference(forward_subsumption_resolution,[],[f2797,f1798]) ).
fof(f2799,plain,
( ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k2_waybel34(sK1,sK0,sK2))
| ~ spl41_27
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73
| ~ spl41_74
| ~ spl41_91 ),
inference(forward_subsumption_resolution,[],[f2798,f2526]) ).
fof(f2801,definition,
( spl41_94
<=> sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k2_waybel34(sK1,sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl41_94])],[avatar_definition]) ).
fof(f2802,plain,
( sK2 = k2_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),k2_waybel34(sK1,sK0,sK2))
| ~ spl41_94 ),
inference(avatar_component_clause,[],[f2801]) ).
fof(f2803,plain,
( spl41_94
| ~ spl41_24
| ~ spl41_27
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73
| ~ spl41_74
| ~ spl41_91 ),
inference(avatar_split_clause,[],[f2799,f2755,f2574,f2525,f2482,f1733,f1678,f1664,f2801]) ).
fof(f2807,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ spl41_94 ),
inference(superposition,[],[f1321,f2802]) ).
fof(f2808,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ spl41_94 ),
inference(forward_subsumption_resolution,[],[f2807,f2224]) ).
fof(f2809,plain,
( ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ spl41_94 ),
inference(forward_subsumption_resolution,[],[f2808,f520]) ).
fof(f2810,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(k2_waybel34(sK1,sK0,sK2),k7_lattice3(sK1),k7_lattice3(sK0))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ spl41_94 ),
inference(forward_subsumption_resolution,[],[f2809,f2257]) ).
fof(f2811,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v1_funct_1(k2_waybel34(sK1,sK0,sK2))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ spl41_74
| ~ spl41_94 ),
inference(forward_subsumption_resolution,[],[f2810,f2575]) ).
fof(f2812,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v1_funct_2(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ spl41_74
| ~ spl41_94 ),
inference(forward_subsumption_resolution,[],[f2811,f1798]) ).
fof(f2813,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ m2_relset_1(k2_waybel34(sK1,sK0,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ spl41_73
| ~ spl41_74
| ~ spl41_94 ),
inference(forward_subsumption_resolution,[],[f2812,f2526]) ).
fof(f2814,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK0))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK0))
| ~ v3_orders_2(k7_lattice3(sK0))
| ~ v4_orders_2(k7_lattice3(sK0))
| ~ v1_lattice3(k7_lattice3(sK0))
| ~ v2_lattice3(k7_lattice3(sK0))
| ~ l1_orders_2(k7_lattice3(sK0))
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73
| ~ spl41_74
| ~ spl41_94 ),
inference(forward_subsumption_resolution,[],[f2813,f2486]) ).
fof(f2816,definition,
( spl41_95
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl41_95])],[avatar_definition]) ).
fof(f2817,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK0),k7_lattice3(sK1),sK2,k2_waybel34(sK1,sK0,sK2)),k7_lattice3(sK0),k7_lattice3(sK1))
| ~ spl41_95 ),
inference(avatar_component_clause,[],[f2816]) ).
fof(f2818,plain,
( ~ spl41_7
| ~ spl41_8
| ~ spl41_9
| ~ spl41_10
| ~ spl41_11
| ~ spl41_12
| ~ spl41_1
| ~ spl41_2
| ~ spl41_3
| ~ spl41_4
| ~ spl41_5
| ~ spl41_6
| ~ spl41_14
| ~ spl41_13
| spl41_95
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73
| ~ spl41_74
| ~ spl41_94 ),
inference(avatar_split_clause,[],[f2814,f2801,f2574,f2525,f2482,f1733,f2816,f1442,f1445,f1421,f1418,f1415,f1412,f1409,f1406,f1439,f1436,f1433,f1430,f1427,f1424]) ).
fof(f2821,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| k2_waybel34(sK1,sK0,sK2) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),sK2)
| ~ spl41_88
| ~ spl41_95 ),
inference(resolution,[],[f2817,f2714]) ).
fof(f2823,plain,
( ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| k2_waybel34(sK1,sK0,sK2) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),sK2)
| ~ spl41_88
| ~ spl41_95 ),
inference(forward_subsumption_resolution,[],[f2821,f2224]) ).
fof(f2824,plain,
( ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| k2_waybel34(sK1,sK0,sK2) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),sK2)
| ~ spl41_88
| ~ spl41_95 ),
inference(forward_subsumption_resolution,[],[f2823,f2257]) ).
fof(f2825,plain,
( ~ v17_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| k2_waybel34(sK1,sK0,sK2) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),sK2)
| ~ spl41_88
| ~ spl41_95 ),
inference(forward_subsumption_resolution,[],[f2824,f520]) ).
fof(f2826,plain,
( k2_waybel34(sK1,sK0,sK2) = k1_waybel34(k7_lattice3(sK0),k7_lattice3(sK1),sK2)
| ~ spl41_88
| ~ spl41_95 ),
inference(forward_subsumption_resolution,[],[f2825,f2283]) ).
fof(f2827,plain,
( $false
| ~ spl41_88
| ~ spl41_95 ),
inference(forward_subsumption_resolution,[],[f2826,f2222]) ).
fof(f2828,plain,
( ~ spl41_88
| ~ spl41_95 ),
inference(avatar_contradiction_clause,[],[f2827]) ).
cnf(s6,plain,
spl41_1,
inference(sat_conversion,[],[f1491]) ).
cnf(s8,plain,
spl41_2,
inference(sat_conversion,[],[f1497]) ).
cnf(s10,plain,
spl41_3,
inference(sat_conversion,[],[f1503]) ).
cnf(s12,plain,
spl41_4,
inference(sat_conversion,[],[f1509]) ).
cnf(s14,plain,
spl41_5,
inference(sat_conversion,[],[f1515]) ).
cnf(s16,plain,
spl41_6,
inference(sat_conversion,[],[f1521]) ).
cnf(s18,plain,
spl41_7,
inference(sat_conversion,[],[f1526]) ).
cnf(s20,plain,
spl41_8,
inference(sat_conversion,[],[f1532]) ).
cnf(s22,plain,
spl41_9,
inference(sat_conversion,[],[f1538]) ).
cnf(s24,plain,
spl41_10,
inference(sat_conversion,[],[f1544]) ).
cnf(s26,plain,
spl41_11,
inference(sat_conversion,[],[f1550]) ).
cnf(s28,plain,
spl41_12,
inference(sat_conversion,[],[f1556]) ).
cnf(s32,plain,
( ~ spl41_24
| ~ spl41_25
| spl41_27 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s34,plain,
spl41_24,
inference(sat_conversion,[],[f1702]) ).
cnf(s35,plain,
spl41_25,
inference(sat_conversion,[],[f1704]) ).
cnf(s37,plain,
( ~ spl41_24
| ~ spl41_25
| spl41_30 ),
inference(sat_conversion,[],[f1731]) ).
cnf(s38,plain,
( ~ spl41_24
| ~ spl41_25
| spl41_31 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s41,plain,
spl41_28,
inference(sat_conversion,[],[f1775]) ).
cnf(s66,plain,
( spl41_13
| spl41_18 ),
inference(sat_conversion,[],[f2338]) ).
cnf(s76,plain,
( ~ spl41_24
| spl41_72 ),
inference(sat_conversion,[],[f2484]) ).
cnf(s78,plain,
( ~ spl41_24
| ~ spl41_72
| spl41_73 ),
inference(sat_conversion,[],[f2527]) ).
cnf(s80,plain,
( ~ spl41_24
| ~ spl41_28
| ~ spl41_72
| spl41_74 ),
inference(sat_conversion,[],[f2576]) ).
cnf(s85,plain,
~ spl41_18,
inference(sat_conversion,[],[f2596]) ).
cnf(s86,plain,
~ spl41_17,
inference(sat_conversion,[],[f2598]) ).
cnf(s91,plain,
( spl41_14
| spl41_17 ),
inference(sat_conversion,[],[f2620]) ).
cnf(s96,plain,
( ~ spl41_1
| ~ spl41_2
| ~ spl41_3
| ~ spl41_4
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| ~ spl41_9
| ~ spl41_10
| ~ spl41_11
| ~ spl41_12
| ~ spl41_13
| ~ spl41_14
| spl41_77 ),
inference(sat_conversion,[],[f2689]) ).
cnf(s102,plain,
( ~ spl41_1
| ~ spl41_2
| ~ spl41_3
| ~ spl41_4
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| ~ spl41_9
| ~ spl41_10
| ~ spl41_11
| ~ spl41_12
| ~ spl41_13
| ~ spl41_14
| ~ spl41_30
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73
| spl41_88 ),
inference(sat_conversion,[],[f2715]) ).
cnf(s105,plain,
( spl41_17
| spl41_18
| ~ spl41_77
| spl41_91 ),
inference(sat_conversion,[],[f2757]) ).
cnf(s108,plain,
( ~ spl41_24
| ~ spl41_27
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73
| ~ spl41_74
| ~ spl41_91
| spl41_94 ),
inference(sat_conversion,[],[f2803]) ).
cnf(s109,plain,
( ~ spl41_1
| ~ spl41_2
| ~ spl41_3
| ~ spl41_4
| ~ spl41_5
| ~ spl41_6
| ~ spl41_7
| ~ spl41_8
| ~ spl41_9
| ~ spl41_10
| ~ spl41_11
| ~ spl41_12
| ~ spl41_13
| ~ spl41_14
| ~ spl41_31
| ~ spl41_72
| ~ spl41_73
| ~ spl41_74
| ~ spl41_94
| spl41_95 ),
inference(sat_conversion,[],[f2818]) ).
cnf(s111,plain,
( ~ spl41_88
| ~ spl41_95 ),
inference(sat_conversion,[],[f2828]) ).
cnf(s112,plain,
spl41_14,
inference(rat,[],[s91,s86]) ).
cnf(s113,plain,
spl41_13,
inference(rat,[],[s66,s85]) ).
cnf(s137,plain,
spl41_72,
inference(rat,[],[s76,s34]) ).
cnf(s139,plain,
spl41_31,
inference(rat,[],[s38,s35,s34]) ).
cnf(s140,plain,
spl41_30,
inference(rat,[],[s37,s35,s34]) ).
cnf(s141,plain,
spl41_73,
inference(rat,[],[s78,s34,s137]) ).
cnf(s145,plain,
spl41_74,
inference(rat,[],[s80,s34,s41,s137]) ).
cnf(s149,plain,
spl41_27,
inference(rat,[],[s32,s35,s34]) ).
cnf(s154,plain,
spl41_88,
inference(rat,[],[s102,s8,s141,s137,s139,s140,s112,s113,s28,s26,s24,s22,s20,s18,s16,s14,s12,s10,s6]) ).
cnf(s156,plain,
spl41_77,
inference(rat,[],[s96,s8,s112,s113,s28,s26,s24,s22,s20,s18,s16,s14,s12,s10,s6]) ).
cnf(s159,plain,
~ spl41_95,
inference(rat,[],[s111,s154]) ).
cnf(s161,plain,
spl41_91,
inference(rat,[],[s105,s85,s86,s156]) ).
cnf(s166,plain,
~ spl41_94,
inference(rat,[],[s109,s6,s8,s145,s141,s137,s139,s112,s113,s28,s26,s24,s22,s20,s18,s16,s14,s12,s10,s159]) ).
cnf(s167,plain,
$false,
inference(rat,[],[s108,s149,s139,s145,s141,s137,s34,s166,s161]) ).
fof(f2829,plain,
$false,
inference(avatar_sat_refutation,[],[s167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT355+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:58:00 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.10/1.90 % (2507278)Detected formulas, will run a generic FOF schedule.
% 6.10/1.90 % (2507284)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=2912974747:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.10/1.90 % (2507287)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3326806047:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.10/1.90 % (2507286)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2354914530:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.10/1.90 % (2507283)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=2332890088:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.10/1.90 % (2507285)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=1303801520:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.10/1.90 % (2507289)dis-21_1_sil=8000:lcm=predicate:random_seed=1233490959:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.10/1.90 % (2507288)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1068942147:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.10/1.90 % (2507286)Instruction limit reached!
% 6.10/1.90 % (2507286)------------------------------
% 6.10/1.90 % (2507286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507286)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507286)Termination reason: Instruction limit
% 6.10/1.90 % (2507286)Termination phase: Saturation
% 6.10/1.90 % (2507286)Time elapsed: 0.059 s
% 6.10/1.90 % (2507286)Peak memory usage: 90 MB
% 6.10/1.90 % (2507286)Instructions burned: 109 (million)
% 6.10/1.90 % (2507287)Instruction limit reached!
% 6.10/1.90 % (2507287)------------------------------
% 6.10/1.90 % (2507287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507287)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507287)Termination reason: Instruction limit
% 6.10/1.90 % (2507287)Termination phase: Saturation
% 6.10/1.90 % (2507287)Time elapsed: 0.060 s
% 6.10/1.90 % (2507287)Peak memory usage: 88 MB
% 6.10/1.90 % (2507287)Instructions burned: 119 (million)
% 6.10/1.90 % (2507289)Instruction limit reached!
% 6.10/1.90 % (2507289)------------------------------
% 6.10/1.90 % (2507289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507289)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507289)Termination reason: Instruction limit
% 6.10/1.90 % (2507289)Termination phase: Saturation
% 6.10/1.90 % (2507289)Time elapsed: 0.070 s
% 6.10/1.90 % (2507289)Peak memory usage: 92 MB
% 6.10/1.90 % (2507289)Instructions burned: 130 (million)
% 6.10/1.90 % (2507288)Instruction limit reached!
% 6.10/1.90 % (2507288)------------------------------
% 6.10/1.90 % (2507288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507288)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507288)Termination reason: Instruction limit
% 6.10/1.90 % (2507288)Termination phase: Saturation
% 6.10/1.90 % (2507288)Time elapsed: 0.074 s
% 6.10/1.90 % (2507288)Peak memory usage: 90 MB
% 6.10/1.90 % (2507288)Instructions burned: 139 (million)
% 6.10/1.90 % (2507298)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3319006139:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.10/1.90 % (2507297)lrs+10_1_sil=8000:sp=occurrence:random_seed=711163444:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.10/1.90 % (2507300)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=2071168416:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.10/1.90 % (2507299)lrs+1011_1_sil=32000:sp=occurrence:random_seed=417056130:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.10/1.90 % (2507298)Instruction limit reached!
% 6.10/1.90 % (2507298)------------------------------
% 6.10/1.90 % (2507298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507298)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507298)Termination reason: Instruction limit
% 6.10/1.90 % (2507298)Termination phase: Saturation
% 6.10/1.90 % (2507298)Time elapsed: 0.080 s
% 6.10/1.90 % (2507298)Peak memory usage: 89 MB
% 6.10/1.90 % (2507298)Instructions burned: 157 (million)
% 6.10/1.90 % (2507300)Instruction limit reached!
% 6.10/1.90 % (2507300)------------------------------
% 6.10/1.90 % (2507300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507300)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507300)Termination reason: Instruction limit
% 6.10/1.90 % (2507300)Termination phase: Saturation
% 6.10/1.90 % (2507300)Time elapsed: 0.120 s
% 6.10/1.90 % (2507300)Peak memory usage: 91 MB
% 6.10/1.90 % (2507300)Instructions burned: 248 (million)
% 6.10/1.90 % (2507297)Instruction limit reached!
% 6.10/1.90 % (2507297)------------------------------
% 6.10/1.90 % (2507297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507297)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507297)Termination reason: Instruction limit
% 6.10/1.90 % (2507297)Termination phase: Saturation
% 6.10/1.90 % (2507297)Time elapsed: 0.150 s
% 6.10/1.90 % (2507297)Peak memory usage: 92 MB
% 6.10/1.90 % (2507297)Instructions burned: 286 (million)
% 6.10/1.90 % (2507305)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3225152909:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.10/1.90 % (2507299)Instruction limit reached!
% 6.10/1.90 % (2507299)------------------------------
% 6.10/1.90 % (2507299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507299)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507299)Termination reason: Instruction limit
% 6.10/1.90 % (2507299)Termination phase: Saturation
% 6.10/1.90 % (2507299)Time elapsed: 0.160 s
% 6.10/1.90 % (2507299)Peak memory usage: 92 MB
% 6.10/1.90 % (2507299)Instructions burned: 325 (million)
% 6.10/1.90 % (2507305)Instruction limit reached!
% 6.10/1.90 % (2507305)------------------------------
% 6.10/1.90 % (2507305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507305)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507305)Termination reason: Instruction limit
% 6.10/1.90 % (2507305)Termination phase: Saturation
% 6.10/1.90 % (2507305)Time elapsed: 0.078 s
% 6.10/1.90 % (2507305)Peak memory usage: 91 MB
% 6.10/1.90 % (2507305)Instructions burned: 296 (million)
% 6.10/1.90 % (2507306)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2894944801:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.10/1.90 % (2507307)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3837228620:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.10/1.90 % (2507309)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3463738912:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.10/1.90 % (2507310)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3778764584:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.10/1.90 % (2507307)Instruction limit reached!
% 6.10/1.90 % (2507307)------------------------------
% 6.10/1.90 % (2507307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507307)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507307)Termination reason: Instruction limit
% 6.10/1.90 % (2507307)Termination phase: Saturation
% 6.10/1.90 % (2507307)Time elapsed: 0.057 s
% 6.10/1.90 % (2507307)Peak memory usage: 90 MB
% 6.10/1.90 % (2507307)Instructions burned: 114 (million)
% 6.10/1.90 % (2507310)Instruction limit reached!
% 6.10/1.90 % (2507310)------------------------------
% 6.10/1.90 % (2507310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507310)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507310)Termination reason: Instruction limit
% 6.10/1.90 % (2507310)Termination phase: Saturation
% 6.10/1.90 % (2507310)Time elapsed: 0.032 s
% 6.10/1.90 % (2507310)Peak memory usage: 89 MB
% 6.10/1.90 % (2507310)Instructions burned: 115 (million)
% 6.10/1.90 % (2507309)Instruction limit reached!
% 6.10/1.90 % (2507309)------------------------------
% 6.10/1.90 % (2507309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507309)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507309)Termination reason: Instruction limit
% 6.10/1.90 % (2507309)Termination phase: Saturation
% 6.10/1.90 % (2507309)Time elapsed: 0.063 s
% 6.10/1.90 % (2507309)Peak memory usage: 89 MB
% 6.10/1.90 % (2507309)Instructions burned: 128 (million)
% 6.10/1.90 % (2507284)First to succeed.
% 6.10/1.90 % (2507284)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2507278"
% 6.10/1.90 % (2507316)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=227623544:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.10/1.90 % (2507315)lrs+10_1_sil=8000:sp=occurrence:random_seed=2742290226:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.10/1.90 % (2507317)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1615512034:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.10/1.90 % (2507316)Instruction limit reached!
% 6.10/1.90 % (2507316)------------------------------
% 6.10/1.90 % (2507316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507316)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507316)Termination reason: Instruction limit
% 6.10/1.90 % (2507316)Termination phase: Saturation
% 6.10/1.90 % (2507316)Time elapsed: 0.105 s
% 6.10/1.90 % (2507316)Peak memory usage: 92 MB
% 6.10/1.90 % (2507316)Instructions burned: 438 (million)
% 6.10/1.90 % (2507321)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2293190304:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 6.10/1.90 % (2507321)Instruction limit reached!
% 6.10/1.90 % (2507321)------------------------------
% 6.10/1.90 % (2507321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.90 % (2507321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.90 % (2507321)CaDiCaL version: 2.1.3
% 6.10/1.90 % (2507321)Termination reason: Instruction limit
% 6.10/1.90 % (2507321)Termination phase: Saturation
% 6.10/1.90 % (2507321)Time elapsed: 0.038 s
% 6.10/1.90 % (2507321)Peak memory usage: 91 MB
% 6.10/1.90 % (2507321)Instructions burned: 138 (million)
% 6.10/1.90 % (2507284)Refutation found. Thanks to Tanya!
% 6.10/1.90 % SZS status Theorem for theBenchmark
% 6.10/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 7.80/1.99 % (2507284)------------------------------
% 7.80/1.99 % (2507284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.80/1.99 % (2507284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.80/1.99 % (2507284)CaDiCaL version: 2.1.3
% 7.80/1.99 % (2507284)Termination reason: Refutation
% 7.80/1.99 % (2507284)Time elapsed: 0.682 s
% 7.80/1.99 % (2507284)Peak memory usage: 136 MB
% 7.80/1.99 % (2507284)Instructions burned: 1407 (million)
% 7.80/1.99 % (2507284)------------------------------
% 7.80/1.99 % (2507284)------------------------------
% 7.80/1.99 % (2507278)Success in time 1.05 s
% 7.80/1.99 % Vampire exiting
%------------------------------------------------------------------------------