%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT355+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 20.98s 9.29s
% Output : Refutation 21.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 41
% Syntax : Number of formulae : 438 ( 64 unt; 23 def)
% Number of atoms : 5193 ( 122 equ)
% Maximal formula atoms : 40 ( 11 avg)
% Number of connectives : 9061 (4306 ~;4355 |; 315 &)
% ( 38 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 24 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 332 ( 0 sgn 326 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1394,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f11561,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f11586,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_lattice3) ).
fof(f11637,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f16049,axiom,
! [X0] :
( l1_orders_2(X0)
=> u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_yellow_6) ).
fof(f16204,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/sandbox2/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f16205,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/sandbox2/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f16206,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/sandbox2/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f16208,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/sandbox2/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f16235,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_yellow_7) ).
fof(f16258,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(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)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1)) ) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(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)) ) )
& ( ( 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)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1))) ) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(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)) ) )
& ( ( 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)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(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)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_yellow_7) ).
fof(f16263,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/sandbox2/benchmark/theBenchmark.p',t44_yellow_7) ).
fof(f18894,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/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel34) ).
fof(f18906,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/sandbox2/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f18907,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/sandbox2/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f18914,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/sandbox2/benchmark/theBenchmark.p',d3_waybel34) ).
fof(f18916,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/sandbox2/benchmark/theBenchmark.p',fc4_waybel34) ).
fof(f18918,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/sandbox2/benchmark/theBenchmark.p',t5_waybel34) ).
fof(f18919,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)],[f18918]) ).
fof(f19005,plain,
! [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_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)) ) ),
inference(pure_predicate_removal,[],[f18916]) ).
fof(f19009,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,[],[f18894]) ).
fof(f19010,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,[],[f19009]) ).
fof(f19023,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,[],[f18906]) ).
fof(f19024,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,[],[f19023]) ).
fof(f19025,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,[],[f18907]) ).
fof(f19026,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,[],[f19025]) ).
fof(f19039,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,[],[f18914]) ).
fof(f19040,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,[],[f19039]) ).
fof(f19043,plain,
! [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,[],[f19005]) ).
fof(f19044,plain,
! [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,[],[f19043]) ).
fof(f19047,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_waybel34(X1,X0,X2) != k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,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)) )
& 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,[],[f18919]) ).
fof(f19048,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_waybel34(X1,X0,X2) != k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,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)) )
& 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,[],[f19047]) ).
fof(f19053,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11561]) ).
fof(f19054,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19053]) ).
fof(f19058,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(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)) )
& ( ( 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)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1)) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(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)) )
& ( ( 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)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1))) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(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)) )
& ( ( 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)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16258]) ).
fof(f19059,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(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)) )
& ( ( 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)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1)) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(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)) )
& ( ( 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)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1))) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(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)) )
& ( ( 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)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19058]) ).
fof(f19066,plain,
! [X0] :
( ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16235]) ).
fof(f19067,plain,
! [X0] :
( ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19066]) ).
fof(f19079,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,[],[f16208]) ).
fof(f19080,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,[],[f19079]) ).
fof(f19081,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,[],[f16206]) ).
fof(f19082,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19081]) ).
fof(f19083,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,[],[f16205]) ).
fof(f19084,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19083]) ).
fof(f19085,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,[],[f16204]) ).
fof(f19086,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19085]) ).
fof(f19087,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16049]) ).
fof(f19088,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11637]) ).
fof(f19089,plain,
! [X0] :
( ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11586]) ).
fof(f19167,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,[],[f16263]) ).
fof(f19168,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,[],[f19167]) ).
fof(f19409,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,[],[f19024]) ).
fof(f19410,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,[],[f19026]) ).
fof(f19411,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3))
& v1_funct_1(sK3)
& v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v18_waybel_0(sK3,sK1,sK2)
& m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v1_lattice3(sK2)
& v2_lattice3(sK2)
& v3_lattice3(sK2)
& l1_orders_2(sK2)
& 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) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f19048]) ).
fof(f19415,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1394]) ).
fof(f19430,plain,
! [X0] :
( ( ( v3_lattice3(X0)
| ~ v3_lattice3(k7_lattice3(X0)) )
& ( v3_lattice3(k7_lattice3(X0))
| ~ v3_lattice3(X0) ) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f19067]) ).
fof(f19436,plain,
! [X0] :
( ( ( v1_lattice3(X0)
| ~ v2_lattice3(k7_lattice3(X0)) )
& ( v2_lattice3(k7_lattice3(X0))
| ~ v1_lattice3(X0) ) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f19089]) ).
fof(f19474,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,[],[f19168]) ).
fof(f19532,plain,
! [X2,X0,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(cnf_transformation,[],[f19010]) ).
fof(f19533,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)
| ~ 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(cnf_transformation,[],[f19010]) ).
fof(f19534,plain,
! [X2,X0,X1] :
( v1_funct_1(k2_waybel34(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)) ),
inference(cnf_transformation,[],[f19010]) ).
fof(f19570,plain,
! [X2,X3,X0,X1] :
( k1_waybel34(X0,X1,X2) = X3
| ~ 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(cnf_transformation,[],[f19409]) ).
fof(f19571,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,[],[f19410]) ).
fof(f19572,plain,
! [X2,X3,X0,X1] :
( k2_waybel34(X0,X1,X2) = X3
| ~ 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(cnf_transformation,[],[f19410]) ).
fof(f19599,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f19040]) ).
fof(f19613,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,[],[f19044]) ).
fof(f19619,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f19411]) ).
fof(f19620,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f19411]) ).
fof(f19621,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f19411]) ).
fof(f19622,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f19411]) ).
fof(f19623,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f19411]) ).
fof(f19624,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f19411]) ).
fof(f19625,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f19411]) ).
fof(f19626,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f19411]) ).
fof(f19627,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f19411]) ).
fof(f19628,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f19411]) ).
fof(f19629,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f19411]) ).
fof(f19630,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f19411]) ).
fof(f19631,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f19411]) ).
fof(f19632,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f19411]) ).
fof(f19633,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f19411]) ).
fof(f19634,plain,
v18_waybel_0(sK3,sK1,sK2),
inference(cnf_transformation,[],[f19411]) ).
fof(f19635,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f19411]) ).
fof(f19636,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f19411]) ).
fof(f19637,plain,
k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3)),
inference(cnf_transformation,[],[f19411]) ).
fof(f19646,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19415]) ).
fof(f19654,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19054]) ).
fof(f19667,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19059]) ).
fof(f19668,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19059]) ).
fof(f19670,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(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))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19059]) ).
fof(f19671,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(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))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19059]) ).
fof(f19705,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19430]) ).
fof(f19724,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19080]) ).
fof(f19727,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19082]) ).
fof(f19729,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19084]) ).
fof(f19731,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19086]) ).
fof(f19733,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19087]) ).
fof(f19734,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19088]) ).
fof(f19736,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19436]) ).
fof(f19879,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,[],[f19474]) ).
fof(f19880,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f19474]) ).
fof(f20196,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,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))
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),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(equality_resolution,[],[f19571]) ).
fof(f20210,plain,
! [X3,X0,X1,X4,X5] :
( v3_waybel_1(k1_waybel_1(X0,X1,X4,X3),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0))
| 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,[],[f19880]) ).
fof(f20211,plain,
! [X0,X1,X4,X5] :
( v3_waybel_1(k1_waybel_1(X0,X1,X4,X5),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0))
| ~ 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,[],[f20210]) ).
fof(f20212,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,[],[f19879]) ).
fof(f20213,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,[],[f20212]) ).
fof(f20261,plain,
! [X0,X1,X4,X5] :
( v3_waybel_1(k1_waybel_1(X0,X1,X4,X5),X0,X1)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0))
| ~ 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,[],[f20211]) ).
fof(f20262,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,[],[f20213]) ).
fof(f20268,definition,
( spl86_1
<=> k2_waybel34(sK2,sK1,sK3) = k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl86_1])],[avatar_definition]) ).
fof(f20270,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3))
| spl86_1 ),
inference(avatar_component_clause,[],[f20268]) ).
fof(f20271,plain,
~ spl86_1,
inference(avatar_split_clause,[],[f19637,f20268]) ).
fof(f20272,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl86_1 ),
inference(superposition,[],[f20270,f19599]) ).
fof(f20274,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl86_1 ),
inference(forward_subsumption_resolution,[],[f20272,f19636]) ).
fof(f20275,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl86_1 ),
inference(forward_subsumption_resolution,[],[f20274,f19635]) ).
fof(f20276,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl86_1 ),
inference(forward_subsumption_resolution,[],[f20275,f19633]) ).
fof(f20277,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ l1_orders_2(sK1)
| spl86_1 ),
inference(forward_subsumption_resolution,[],[f20276,f19626]) ).
fof(f20278,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| spl86_1 ),
inference(forward_subsumption_resolution,[],[f20277,f19619]) ).
fof(f20280,definition,
( spl86_2
<=> v1_funct_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl86_2])],[avatar_definition]) ).
fof(f20282,plain,
( v1_funct_1(sK3)
| ~ spl86_2 ),
inference(avatar_component_clause,[],[f20280]) ).
fof(f20283,plain,
spl86_2,
inference(avatar_split_clause,[],[f19636,f20280]) ).
fof(f20285,definition,
( spl86_3
<=> v2_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_3])],[avatar_definition]) ).
fof(f20287,plain,
( v2_orders_2(sK2)
| ~ spl86_3 ),
inference(avatar_component_clause,[],[f20285]) ).
fof(f20288,plain,
spl86_3,
inference(avatar_split_clause,[],[f19632,f20285]) ).
fof(f20290,definition,
( spl86_4
<=> k2_waybel34(sK2,sK1,sK3) = k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3) ),
introduced(definition,[new_symbols(definition,[spl86_4])],[avatar_definition]) ).
fof(f20292,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| spl86_4 ),
inference(avatar_component_clause,[],[f20290]) ).
fof(f20293,plain,
( ~ spl86_4
| spl86_1 ),
inference(avatar_split_clause,[],[f20278,f20268,f20290]) ).
fof(f20294,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ 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)) )
| spl86_4 ),
inference(superposition,[],[f20292,f19570]) ).
fof(f20295,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| spl86_4 ),
inference(forward_subsumption_resolution,[],[f20294,f20282]) ).
fof(f20297,definition,
( spl86_5
<=> v3_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_5])],[avatar_definition]) ).
fof(f20299,plain,
( v3_lattice3(sK2)
| ~ spl86_5 ),
inference(avatar_component_clause,[],[f20297]) ).
fof(f20300,plain,
spl86_5,
inference(avatar_split_clause,[],[f19627,f20297]) ).
fof(f20302,definition,
( spl86_6
<=> v2_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_6])],[avatar_definition]) ).
fof(f20304,plain,
( v2_orders_2(sK1)
| ~ spl86_6 ),
inference(avatar_component_clause,[],[f20302]) ).
fof(f20305,plain,
spl86_6,
inference(avatar_split_clause,[],[f19625,f20302]) ).
fof(f20307,definition,
( spl86_7
<=> v3_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_7])],[avatar_definition]) ).
fof(f20309,plain,
( v3_lattice3(sK1)
| ~ spl86_7 ),
inference(avatar_component_clause,[],[f20307]) ).
fof(f20310,plain,
spl86_7,
inference(avatar_split_clause,[],[f19620,f20307]) ).
fof(f20312,definition,
( spl86_8
<=> v2_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_8])],[avatar_definition]) ).
fof(f20314,plain,
( v2_lattice3(sK2)
| ~ spl86_8 ),
inference(avatar_component_clause,[],[f20312]) ).
fof(f20315,plain,
spl86_8,
inference(avatar_split_clause,[],[f19628,f20312]) ).
fof(f20317,definition,
( spl86_9
<=> v1_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_9])],[avatar_definition]) ).
fof(f20319,plain,
( v1_lattice3(sK2)
| ~ spl86_9 ),
inference(avatar_component_clause,[],[f20317]) ).
fof(f20320,plain,
spl86_9,
inference(avatar_split_clause,[],[f19629,f20317]) ).
fof(f20322,definition,
( spl86_10
<=> v4_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_10])],[avatar_definition]) ).
fof(f20324,plain,
( v4_orders_2(sK2)
| ~ spl86_10 ),
inference(avatar_component_clause,[],[f20322]) ).
fof(f20325,plain,
spl86_10,
inference(avatar_split_clause,[],[f19630,f20322]) ).
fof(f20327,definition,
( spl86_11
<=> v2_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_11])],[avatar_definition]) ).
fof(f20329,plain,
( v2_lattice3(sK1)
| ~ spl86_11 ),
inference(avatar_component_clause,[],[f20327]) ).
fof(f20330,plain,
spl86_11,
inference(avatar_split_clause,[],[f19621,f20327]) ).
fof(f20442,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ spl86_3 ),
inference(resolution,[],[f20287,f19731]) ).
fof(f20945,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ spl86_3 ),
inference(forward_subsumption_resolution,[],[f20442,f19626]) ).
fof(f21278,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4 ),
inference(backward_subsumption_resolution,[],[f20295,f20945]) ).
fof(f22250,plain,
( ! [X0,X1] :
( m2_relset_1(sK3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl86_2 ),
inference(resolution,[],[f20282,f19667]) ).
fof(f22252,plain,
( ! [X0,X1] :
( m2_relset_1(sK3,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(sK3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(sK3,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl86_2 ),
inference(resolution,[],[f20282,f19670]) ).
fof(f22253,plain,
( ! [X0,X1] :
( v1_funct_2(sK3,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(sK3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(sK3,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl86_2 ),
inference(resolution,[],[f20282,f19671]) ).
fof(f22455,definition,
( spl86_12
<=> v18_waybel_0(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl86_12])],[avatar_definition]) ).
fof(f22457,plain,
( v18_waybel_0(sK3,sK1,sK2)
| ~ spl86_12 ),
inference(avatar_component_clause,[],[f22455]) ).
fof(f22458,plain,
spl86_12,
inference(avatar_split_clause,[],[f19634,f22455]) ).
fof(f22459,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_12 ),
inference(resolution,[],[f22457,f19572]) ).
fof(f22477,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ 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(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_12 ),
inference(resolution,[],[f22457,f19613]) ).
fof(f22514,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22477,f20304]) ).
fof(f22530,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_5
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22459,f20299]) ).
fof(f22548,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22514,f19624]) ).
fof(f22564,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_5
| ~ spl86_7
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22530,f20309]) ).
fof(f22582,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22548,f19623]) ).
fof(f22598,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_7
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22564,f20282]) ).
fof(f22616,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22582,f19622]) ).
fof(f22632,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_7
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22598,f19635]) ).
fof(f22648,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22616,f20329]) ).
fof(f22664,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_7
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22632,f19633]) ).
fof(f22678,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_7
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22648,f20309]) ).
fof(f22694,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22664,f20304]) ).
fof(f22707,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_7
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22678,f19619]) ).
fof(f22723,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22694,f19624]) ).
fof(f22736,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_7
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22707,f20287]) ).
fof(f22752,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22723,f19623]) ).
fof(f22765,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_7
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22736,f19631]) ).
fof(f22781,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22752,f19622]) ).
fof(f22794,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_7
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22765,f20324]) ).
fof(f22810,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22781,f20329]) ).
fof(f22823,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_7
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22794,f20319]) ).
fof(f22839,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22810,f19619]) ).
fof(f22852,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22823,f20314]) ).
fof(f22868,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22839,f20287]) ).
fof(f22879,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22852,f20299]) ).
fof(f22895,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22868,f19631]) ).
fof(f22906,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22879,f19626]) ).
fof(f22922,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22895,f20324]) ).
fof(f22933,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22906,f20282]) ).
fof(f22949,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22922,f20319]) ).
fof(f22960,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22933,f19635]) ).
fof(f22976,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22949,f20314]) ).
fof(f22989,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(forward_subsumption_resolution,[],[f22976,f19626]) ).
fof(f22991,definition,
( spl86_13
<=> ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl86_13])],[avatar_definition]) ).
fof(f22992,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_13 ),
inference(avatar_component_clause,[],[f22991]) ).
fof(f22993,plain,
( spl86_13
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(avatar_split_clause,[],[f22989,f22455,f20327,f20322,f20317,f20312,f20307,f20302,f20297,f20285,f20280,f22991]) ).
fof(f23002,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_13 ),
inference(resolution,[],[f22992,f20261]) ).
fof(f23009,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_13 ),
inference(duplicate_literal_removal,[],[f23002]) ).
fof(f23021,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23009,f22253]) ).
fof(f23032,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23021,f22252]) ).
fof(f23043,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23032,f20282]) ).
fof(f23054,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23043,f19668]) ).
fof(f23065,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23054,f19635]) ).
fof(f23075,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23065,f19667]) ).
fof(f23085,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23075,f19633]) ).
fof(f23091,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23085,f20304]) ).
fof(f23097,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23091,f19624]) ).
fof(f23102,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23097,f19623]) ).
fof(f23107,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23102,f19619]) ).
fof(f23112,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23107,f20287]) ).
fof(f23117,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23112,f19631]) ).
fof(f23118,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_10
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23117,f20324]) ).
fof(f23119,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_10
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f23118,f19626]) ).
fof(f23121,definition,
( spl86_14
<=> m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl86_14])],[avatar_definition]) ).
fof(f23122,plain,
( m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_14 ),
inference(avatar_component_clause,[],[f23121]) ).
fof(f23123,plain,
( ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| spl86_14 ),
inference(avatar_component_clause,[],[f23121]) ).
fof(f23125,definition,
( spl86_15
<=> v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2)) ),
introduced(definition,[new_symbols(definition,[spl86_15])],[avatar_definition]) ).
fof(f23127,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl86_15 ),
inference(avatar_component_clause,[],[f23125]) ).
fof(f23128,plain,
( ~ spl86_14
| spl86_15
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12 ),
inference(avatar_split_clause,[],[f22960,f22455,f20327,f20322,f20317,f20312,f20307,f20302,f20297,f20285,f20280,f23125,f23121]) ).
fof(f23130,plain,
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| spl86_14 ),
inference(resolution,[],[f23123,f19646]) ).
fof(f23131,plain,
( $false
| spl86_14 ),
inference(forward_subsumption_resolution,[],[f23130,f19633]) ).
fof(f23132,plain,
spl86_14,
inference(avatar_contradiction_clause,[],[f23131]) ).
fof(f23189,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl86_15 ),
inference(superposition,[],[f23127,f19599]) ).
fof(f23190,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_15 ),
inference(forward_subsumption_resolution,[],[f23189,f20282]) ).
fof(f23220,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_15 ),
inference(forward_subsumption_resolution,[],[f23190,f19635]) ).
fof(f23221,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_15 ),
inference(forward_subsumption_resolution,[],[f23220,f19633]) ).
fof(f23222,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_15 ),
inference(forward_subsumption_resolution,[],[f23221,f19626]) ).
fof(f23223,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl86_2
| ~ spl86_15 ),
inference(forward_subsumption_resolution,[],[f23222,f19619]) ).
fof(f23224,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_15 ),
inference(backward_subsumption_resolution,[],[f21278,f23223]) ).
fof(f23491,definition,
( spl86_21
<=> v3_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_21])],[avatar_definition]) ).
fof(f23493,plain,
( v3_orders_2(sK2)
| ~ spl86_21 ),
inference(avatar_component_clause,[],[f23491]) ).
fof(f23494,plain,
spl86_21,
inference(avatar_split_clause,[],[f19631,f23491]) ).
fof(f23606,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ l1_orders_2(sK1)
| ~ spl86_6 ),
inference(resolution,[],[f20304,f19731]) ).
fof(f24109,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ spl86_6 ),
inference(forward_subsumption_resolution,[],[f23606,f19619]) ).
fof(f24471,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_6
| ~ spl86_15 ),
inference(backward_subsumption_resolution,[],[f23224,f24109]) ).
fof(f25571,definition,
( spl86_23
<=> l1_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_23])],[avatar_definition]) ).
fof(f25573,plain,
( l1_orders_2(sK2)
| ~ spl86_23 ),
inference(avatar_component_clause,[],[f25571]) ).
fof(f25574,plain,
spl86_23,
inference(avatar_split_clause,[],[f19626,f25571]) ).
fof(f25576,definition,
( spl86_24
<=> v4_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_24])],[avatar_definition]) ).
fof(f25578,plain,
( v4_orders_2(sK1)
| ~ spl86_24 ),
inference(avatar_component_clause,[],[f25576]) ).
fof(f25579,plain,
spl86_24,
inference(avatar_split_clause,[],[f19623,f25576]) ).
fof(f25678,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_5 ),
inference(resolution,[],[f20299,f19705]) ).
fof(f25745,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ spl86_5
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f25678,f25573]) ).
fof(f25749,definition,
( spl86_25
<=> v1_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_25])],[avatar_definition]) ).
fof(f25751,plain,
( v1_lattice3(sK1)
| ~ spl86_25 ),
inference(avatar_component_clause,[],[f25749]) ).
fof(f25752,plain,
spl86_25,
inference(avatar_split_clause,[],[f19622,f25749]) ).
fof(f25872,plain,
( ~ v3_struct_0(sK2)
| ~ v2_lattice3(sK2)
| ~ spl86_23 ),
inference(resolution,[],[f25573,f19654]) ).
fof(f25960,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ spl86_23 ),
inference(resolution,[],[f25573,f19724]) ).
fof(f25963,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ spl86_23 ),
inference(resolution,[],[f25573,f19727]) ).
fof(f25965,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ spl86_23 ),
inference(resolution,[],[f25573,f19729]) ).
fof(f25969,plain,
( u1_struct_0(sK2) = u1_struct_0(k7_lattice3(sK2))
| ~ spl86_23 ),
inference(resolution,[],[f25573,f19733]) ).
fof(f25970,plain,
( l1_orders_2(k7_lattice3(sK2))
| ~ spl86_23 ),
inference(resolution,[],[f25573,f19734]) ).
fof(f25972,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ spl86_23 ),
inference(resolution,[],[f25573,f19736]) ).
fof(f26543,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ spl86_9
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f25972,f20319]) ).
fof(f26609,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_6
| ~ spl86_15
| ~ spl86_23 ),
inference(backward_subsumption_resolution,[],[f24471,f25970]) ).
fof(f26622,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f25965,f23493]) ).
fof(f26623,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ spl86_10
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f25963,f20324]) ).
fof(f26625,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ spl86_8
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f25960,f20314]) ).
fof(f26659,plain,
( ~ v3_struct_0(sK2)
| ~ spl86_8
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f25872,f20314]) ).
fof(f26760,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_6
| ~ spl86_9
| ~ spl86_15
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f26609,f26543]) ).
fof(f26930,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_23 ),
inference(backward_subsumption_resolution,[],[f23119,f26659]) ).
fof(f26934,plain,
( v3_lattice3(k7_lattice3(sK2))
| ~ spl86_5
| ~ spl86_8
| ~ spl86_23 ),
inference(backward_subsumption_resolution,[],[f25745,f26659]) ).
fof(f27167,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_6
| ~ spl86_9
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f26760,f26622]) ).
fof(f27191,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_23 ),
inference(forward_demodulation,[],[f26930,f25969]) ).
fof(f27285,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27167,f26934]) ).
fof(f27302,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| v3_struct_0(sK1) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_23 ),
inference(forward_demodulation,[],[f27191,f25969]) ).
fof(f27376,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27285,f26623]) ).
fof(f27452,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27376,f26625]) ).
fof(f27524,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_demodulation,[],[f27452,f25969]) ).
fof(f27587,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_demodulation,[],[f27524,f25969]) ).
fof(f27610,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ 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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_demodulation,[],[f27587,f25969]) ).
fof(f27627,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_demodulation,[],[f27610,f25969]) ).
fof(f27633,definition,
( spl86_26
<=> v3_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_26])],[avatar_definition]) ).
fof(f27635,plain,
( v3_orders_2(sK1)
| ~ spl86_26 ),
inference(avatar_component_clause,[],[f27633]) ).
fof(f27636,plain,
spl86_26,
inference(avatar_split_clause,[],[f19624,f27633]) ).
fof(f27638,definition,
( spl86_27
<=> l1_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_27])],[avatar_definition]) ).
fof(f27640,plain,
( l1_orders_2(sK1)
| ~ spl86_27 ),
inference(avatar_component_clause,[],[f27638]) ).
fof(f27641,plain,
spl86_27,
inference(avatar_split_clause,[],[f19619,f27638]) ).
fof(f27740,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl86_7 ),
inference(resolution,[],[f20309,f19705]) ).
fof(f27807,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ spl86_7
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f27740,f27640]) ).
fof(f28180,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_14 ),
inference(resolution,[],[f23122,f19532]) ).
fof(f28181,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_14 ),
inference(resolution,[],[f23122,f19533]) ).
fof(f28182,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_14 ),
inference(resolution,[],[f23122,f19534]) ).
fof(f28291,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_14 ),
inference(forward_subsumption_resolution,[],[f28182,f20287]) ).
fof(f28292,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_14 ),
inference(forward_subsumption_resolution,[],[f28181,f20287]) ).
fof(f28293,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_14 ),
inference(forward_subsumption_resolution,[],[f28180,f20287]) ).
fof(f28338,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28291,f23493]) ).
fof(f28339,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28292,f23493]) ).
fof(f28340,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28293,f23493]) ).
fof(f28382,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28338,f20324]) ).
fof(f28383,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28339,f20324]) ).
fof(f28384,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28340,f20324]) ).
fof(f28426,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28382,f20319]) ).
fof(f28427,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28383,f20319]) ).
fof(f28428,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28384,f20319]) ).
fof(f28525,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28426,f20314]) ).
fof(f28526,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28427,f20314]) ).
fof(f28527,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21 ),
inference(forward_subsumption_resolution,[],[f28428,f20314]) ).
fof(f28618,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f28525,f25573]) ).
fof(f28619,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f28526,f25573]) ).
fof(f28620,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f28527,f25573]) ).
fof(f28697,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f28618,f20304]) ).
fof(f28698,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f28619,f20304]) ).
fof(f28699,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f28620,f20304]) ).
fof(f28730,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28697,f27635]) ).
fof(f28731,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28698,f27635]) ).
fof(f28732,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28699,f27635]) ).
fof(f28763,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28730,f25578]) ).
fof(f28764,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28731,f25578]) ).
fof(f28765,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28732,f25578]) ).
fof(f28796,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28763,f25751]) ).
fof(f28797,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28764,f25751]) ).
fof(f28798,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28765,f25751]) ).
fof(f28823,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28796,f20329]) ).
fof(f28824,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28797,f20329]) ).
fof(f28825,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f28798,f20329]) ).
fof(f28847,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28823,f27640]) ).
fof(f28848,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28824,f27640]) ).
fof(f28849,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28825,f27640]) ).
fof(f28870,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28847,f20282]) ).
fof(f28871,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28848,f20282]) ).
fof(f28872,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28849,f20282]) ).
fof(f28893,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28870,f19635]) ).
fof(f28894,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28871,f19635]) ).
fof(f28895,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f28872,f19635]) ).
fof(f29054,plain,
( ~ v3_struct_0(sK1)
| ~ v2_lattice3(sK1)
| ~ spl86_27 ),
inference(resolution,[],[f27640,f19654]) ).
fof(f29142,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(sK1)
| ~ spl86_27 ),
inference(resolution,[],[f27640,f19724]) ).
fof(f29145,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(sK1)
| ~ spl86_27 ),
inference(resolution,[],[f27640,f19727]) ).
fof(f29147,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(sK1)
| ~ spl86_27 ),
inference(resolution,[],[f27640,f19729]) ).
fof(f29151,plain,
( u1_struct_0(sK1) = u1_struct_0(k7_lattice3(sK1))
| ~ spl86_27 ),
inference(resolution,[],[f27640,f19733]) ).
fof(f29152,plain,
( l1_orders_2(k7_lattice3(sK1))
| ~ spl86_27 ),
inference(resolution,[],[f27640,f19734]) ).
fof(f29154,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ v1_lattice3(sK1)
| ~ spl86_27 ),
inference(resolution,[],[f27640,f19736]) ).
fof(f29725,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ spl86_25
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f29154,f25751]) ).
fof(f29743,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(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)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_27 ),
inference(backward_subsumption_resolution,[],[f27627,f29152]) ).
fof(f29804,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f29147,f27635]) ).
fof(f29805,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ spl86_24
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f29145,f25578]) ).
fof(f29807,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ spl86_11
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f29142,f20329]) ).
fof(f29841,plain,
( ~ v3_struct_0(sK1)
| ~ spl86_11
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f29054,f20329]) ).
fof(f29894,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_25
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f29743,f29725]) ).
fof(f30113,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_23
| ~ spl86_27 ),
inference(backward_subsumption_resolution,[],[f27302,f29841]) ).
fof(f30114,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ spl86_7
| ~ spl86_11
| ~ spl86_27 ),
inference(backward_subsumption_resolution,[],[f27807,f29841]) ).
fof(f30306,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f29894,f29804]) ).
fof(f30371,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_23
| ~ spl86_27 ),
inference(forward_demodulation,[],[f30113,f29151]) ).
fof(f30416,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f30306,f30114]) ).
fof(f30471,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_23
| ~ spl86_27 ),
inference(forward_demodulation,[],[f30371,f29151]) ).
fof(f30503,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f30416,f29805]) ).
fof(f30575,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f30503,f29807]) ).
fof(f30639,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_demodulation,[],[f30575,f29151]) ).
fof(f30687,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f30639,f19633]) ).
fof(f30700,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_demodulation,[],[f30687,f29151]) ).
fof(f30707,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f30700,f19635]) ).
fof(f30712,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_demodulation,[],[f30707,f29151]) ).
fof(f30713,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_demodulation,[],[f30712,f29151]) ).
fof(f30714,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27 ),
inference(forward_subsumption_resolution,[],[f30713,f30471]) ).
fof(f31638,definition,
( spl86_30
<=> v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl86_30])],[avatar_definition]) ).
fof(f31640,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_30 ),
inference(avatar_component_clause,[],[f31638]) ).
fof(f31641,plain,
spl86_30,
inference(avatar_split_clause,[],[f19635,f31638]) ).
fof(f31858,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_30 ),
inference(resolution,[],[f31640,f20262]) ).
fof(f31865,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f31858,f22250]) ).
fof(f31964,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f31865,f20282]) ).
fof(f32062,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f31964,f19671]) ).
fof(f32160,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32062,f19670]) ).
fof(f32258,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_11
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32160,f29841]) ).
fof(f32351,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_11
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32258,f20304]) ).
fof(f32441,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_11
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32351,f27635]) ).
fof(f32520,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_11
| ~ spl86_24
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32441,f25578]) ).
fof(f32584,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_11
| ~ spl86_24
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32520,f27640]) ).
fof(f32639,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_23
| ~ spl86_24
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32584,f26659]) ).
fof(f32691,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_23
| ~ spl86_24
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32639,f20287]) ).
fof(f32741,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32691,f23493]) ).
fof(f32789,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_11
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32741,f20324]) ).
fof(f32811,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_11
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32789,f25573]) ).
fof(f32823,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32811,f30714]) ).
fof(f32835,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_demodulation,[],[f32823,f25969]) ).
fof(f32846,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_demodulation,[],[f32835,f29151]) ).
fof(f32853,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32846,f31640]) ).
fof(f32858,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_demodulation,[],[f32853,f25969]) ).
fof(f32862,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_demodulation,[],[f32858,f29151]) ).
fof(f32864,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32862,f19633]) ).
fof(f32866,definition,
( spl86_31
<=> ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl86_31])],[avatar_definition]) ).
fof(f32867,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_31 ),
inference(avatar_component_clause,[],[f32866]) ).
fof(f32868,plain,
( spl86_31
| ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30 ),
inference(avatar_split_clause,[],[f32864,f31638,f27638,f27633,f25749,f25576,f25571,f23491,f23125,f22991,f20327,f20322,f20317,f20312,f20307,f20302,f20297,f20290,f20285,f20280,f32866]) ).
fof(f32878,plain,
( ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_31 ),
inference(resolution,[],[f32867,f20196]) ).
fof(f32883,plain,
( ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_31 ),
inference(duplicate_literal_removal,[],[f32878]) ).
fof(f32896,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32883,f28893]) ).
fof(f32909,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32896,f28894]) ).
fof(f32922,plain,
( ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32909,f28895]) ).
fof(f32933,plain,
( ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32922,f20299]) ).
fof(f32944,plain,
( ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32933,f20309]) ).
fof(f32955,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32944,f22457]) ).
fof(f32965,plain,
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32955,f20282]) ).
fof(f32975,plain,
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32965,f31640]) ).
fof(f32985,plain,
( ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32975,f19633]) ).
fof(f32991,plain,
( ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32985,f20304]) ).
fof(f32998,plain,
( ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32991,f27635]) ).
fof(f33003,plain,
( ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f32998,f25578]) ).
fof(f33008,plain,
( ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33003,f25751]) ).
fof(f33013,plain,
( ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33008,f20329]) ).
fof(f33018,plain,
( ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33013,f27640]) ).
fof(f33019,plain,
( ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33018,f20287]) ).
fof(f33020,plain,
( ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33019,f23493]) ).
fof(f33021,plain,
( ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33020,f20324]) ).
fof(f33022,plain,
( ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33021,f20319]) ).
fof(f33023,plain,
( ~ l1_orders_2(sK2)
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33022,f20314]) ).
fof(f33024,plain,
( $false
| ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(forward_subsumption_resolution,[],[f33023,f25573]) ).
fof(f33025,plain,
( ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(avatar_contradiction_clause,[],[f33024]) ).
cnf(s1,plain,
~ spl86_1,
inference(sat_conversion,[],[f20271]) ).
cnf(s2,plain,
spl86_2,
inference(sat_conversion,[],[f20283]) ).
cnf(s3,plain,
spl86_3,
inference(sat_conversion,[],[f20288]) ).
cnf(s4,plain,
( spl86_1
| ~ spl86_4 ),
inference(sat_conversion,[],[f20293]) ).
cnf(s5,plain,
spl86_5,
inference(sat_conversion,[],[f20300]) ).
cnf(s6,plain,
spl86_6,
inference(sat_conversion,[],[f20305]) ).
cnf(s7,plain,
spl86_7,
inference(sat_conversion,[],[f20310]) ).
cnf(s8,plain,
spl86_8,
inference(sat_conversion,[],[f20315]) ).
cnf(s9,plain,
spl86_9,
inference(sat_conversion,[],[f20320]) ).
cnf(s10,plain,
spl86_10,
inference(sat_conversion,[],[f20325]) ).
cnf(s11,plain,
spl86_11,
inference(sat_conversion,[],[f20330]) ).
cnf(s12,plain,
spl86_12,
inference(sat_conversion,[],[f22458]) ).
cnf(s13,plain,
( ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| spl86_13 ),
inference(sat_conversion,[],[f22993]) ).
cnf(s14,plain,
( ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| spl86_15 ),
inference(sat_conversion,[],[f23128]) ).
cnf(s15,plain,
spl86_14,
inference(sat_conversion,[],[f23132]) ).
cnf(s21,plain,
spl86_21,
inference(sat_conversion,[],[f23494]) ).
cnf(s23,plain,
spl86_23,
inference(sat_conversion,[],[f25574]) ).
cnf(s24,plain,
spl86_24,
inference(sat_conversion,[],[f25579]) ).
cnf(s25,plain,
spl86_25,
inference(sat_conversion,[],[f25752]) ).
cnf(s26,plain,
spl86_26,
inference(sat_conversion,[],[f27636]) ).
cnf(s27,plain,
spl86_27,
inference(sat_conversion,[],[f27641]) ).
cnf(s30,plain,
spl86_30,
inference(sat_conversion,[],[f31641]) ).
cnf(s31,plain,
( ~ spl86_2
| ~ spl86_3
| spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_13
| ~ spl86_15
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| spl86_31 ),
inference(sat_conversion,[],[f32868]) ).
cnf(s33,plain,
( ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| ~ spl86_14
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_25
| ~ spl86_26
| ~ spl86_27
| ~ spl86_30
| ~ spl86_31 ),
inference(sat_conversion,[],[f33025]) ).
cnf(s34,plain,
( ~ spl86_2
| ~ spl86_3
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_10
| ~ spl86_11
| ~ spl86_12
| spl86_15 ),
inference(rat,[],[s14,s15]) ).
cnf(s37,plain,
~ spl86_31,
inference(rat,[],[s33,s3,s30,s27,s26,s25,s24,s23,s21,s15,s12,s11,s10,s9,s8,s7,s6,s5,s2]) ).
cnf(s42,plain,
spl86_15,
inference(rat,[],[s34,s3,s12,s11,s10,s9,s8,s7,s6,s5,s2]) ).
cnf(s43,plain,
spl86_13,
inference(rat,[],[s13,s3,s12,s11,s10,s9,s8,s7,s6,s5,s2]) ).
cnf(s46,plain,
spl86_4,
inference(rat,[],[s31,s37,s30,s27,s26,s25,s24,s23,s21,s42,s2,s11,s10,s9,s8,s7,s6,s5,s3,s43]) ).
cnf(s47,plain,
spl86_1,
inference(rat,[],[s4,s46]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s1,s47]) ).
fof(f33026,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT355+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.61 % Computer : n020.cluster.edu
% 0.12/5.61 % Model : x86_64 x86_64
% 0.12/5.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.61 % Memory : 8046.5625MB
% 0.12/5.61 % OS : Linux 6.8.0-71-generic
% 0.12/5.61 % CPULimit : 300
% 0.12/5.61 % WCLimit : 300
% 0.12/5.61 % DateTime : Sun Sep 27 14:59:16 UTC 2026
% 0.12/5.61 % CPUTime :
% 0.12/5.61 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.65 Running first-order theorem proving
% 0.12/5.65 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.83/8.14 % (3469461)Detected formulas, will run a generic FOF schedule.
% 12.83/8.14 % (3469472)dis-21_1_sil=8000:lcm=predicate:random_seed=61568512:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 12.83/8.14 % (3469466)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=2214768647:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 12.83/8.14 % (3469469)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=218522055:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 12.83/8.14 % (3469468)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=2100107434:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 12.83/8.14 % (3469470)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3868253174:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 12.83/8.14 % (3469471)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=641143424:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 14.00/8.20 % (3469467)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=3334646892:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 14.00/8.20 % (3469472)Instruction limit reached!
% 14.00/8.20 % (3469472)------------------------------
% 14.00/8.20 % (3469472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/8.20 % (3469472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/8.20 % (3469472)CaDiCaL version: 2.1.3
% 14.00/8.20 % (3469472)Termination reason: Instruction limit
% 14.00/8.20 % (3469472)Termination phase: SInE selection
% 14.00/8.20 % (3469472)Time elapsed: 0.051 s
% 14.00/8.20 % (3469472)Peak memory usage: 112 MB
% 14.00/8.20 % (3469472)Instructions burned: 130 (million)
% 14.00/8.20 % (3469471)Instruction limit reached!
% 14.00/8.20 % (3469471)------------------------------
% 14.00/8.20 % (3469471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/8.20 % (3469471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/8.20 % (3469471)CaDiCaL version: 2.1.3
% 14.00/8.20 % (3469471)Termination reason: Instruction limit
% 14.00/8.20 % (3469471)Termination phase: Property scanning
% 14.00/8.20 % (3469471)Time elapsed: 0.060 s
% 14.00/8.20 % (3469471)Peak memory usage: 111 MB
% 14.00/8.20 % (3469471)Instructions burned: 140 (million)
% 14.00/8.20 % (3469469)Instruction limit reached!
% 14.00/8.20 % (3469469)------------------------------
% 14.00/8.20 % (3469469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/8.20 % (3469469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/8.20 % (3469469)CaDiCaL version: 2.1.3
% 14.00/8.20 % (3469469)Termination reason: Instruction limit
% 14.00/8.20 % (3469469)Termination phase: SInE selection
% 14.00/8.20 % (3469469)Time elapsed: 0.084 s
% 14.00/8.20 % (3469469)Peak memory usage: 112 MB
% 14.00/8.20 % (3469469)Instructions burned: 109 (million)
% 14.00/8.20 % (3469470)Instruction limit reached!
% 14.00/8.20 % (3469470)------------------------------
% 14.00/8.20 % (3469470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/8.20 % (3469470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.00/8.20 % (3469470)CaDiCaL version: 2.1.3
% 14.00/8.20 % (3469470)Termination reason: Instruction limit
% 14.00/8.20 % (3469470)Termination phase: Preprocessing 1
% 14.00/8.20 % (3469470)Time elapsed: 0.099 s
% 14.00/8.20 % (3469470)Peak memory usage: 112 MB
% 14.00/8.20 % (3469470)Instructions burned: 119 (million)
% 14.00/8.20 % (3469480)lrs+10_1_sil=8000:sp=occurrence:random_seed=1207729620:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 14.00/8.20 % (3469481)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3504160220:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 14.00/8.20 % (3469482)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1764948097:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 14.00/8.20 % (3469480)Instruction limit reached!
% 14.00/8.20 % (3469480)------------------------------
% 14.00/8.20 % (3469480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.00/8.20 % (3469480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/8.86 % (3469480)CaDiCaL version: 2.1.3
% 17.74/8.86 % (3469480)Termination reason: Instruction limit
% 17.74/8.86 % (3469480)Termination phase: Saturation
% 17.74/8.86 % (3469480)Time elapsed: 0.117 s
% 17.74/8.86 % (3469480)Peak memory usage: 119 MB
% 17.74/8.86 % (3469480)Instructions burned: 285 (million)
% 17.74/8.86 % (3469483)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=1503277466:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 17.74/8.86 % (3469481)Instruction limit reached!
% 17.74/8.86 % (3469481)------------------------------
% 17.74/8.86 % (3469481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/8.86 % (3469481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/8.86 % (3469481)CaDiCaL version: 2.1.3
% 17.74/8.86 % (3469481)Termination reason: Instruction limit
% 17.74/8.86 % (3469481)Termination phase: Property scanning
% 17.74/8.86 % (3469481)Time elapsed: 0.067 s
% 17.74/8.86 % (3469481)Peak memory usage: 112 MB
% 17.74/8.86 % (3469481)Instructions burned: 157 (million)
% 17.74/8.86 % (3469483)Instruction limit reached!
% 17.74/8.86 % (3469483)------------------------------
% 17.74/8.86 % (3469483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/8.86 % (3469483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/8.86 % (3469483)CaDiCaL version: 2.1.3
% 17.74/8.86 % (3469483)Termination reason: Instruction limit
% 17.74/8.86 % (3469483)Termination phase: Property scanning
% 17.74/8.86 % (3469483)Time elapsed: 0.111 s
% 17.74/8.86 % (3469483)Peak memory usage: 112 MB
% 17.74/8.86 % (3469483)Instructions burned: 249 (million)
% 17.74/8.86 % (3469487)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3546343681:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 17.74/8.86 % (3469489)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1450640154:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 17.74/8.86 % (3469482)Instruction limit reached!
% 17.74/8.86 % (3469482)------------------------------
% 17.74/8.86 % (3469482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/8.86 % (3469482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/8.86 % (3469482)CaDiCaL version: 2.1.3
% 17.74/8.86 % (3469482)Termination reason: Instruction limit
% 17.74/8.86 % (3469482)Termination phase: Saturation
% 17.74/8.86 % (3469482)Time elapsed: 0.229 s
% 17.74/8.86 % (3469482)Peak memory usage: 118 MB
% 17.74/8.86 % (3469482)Instructions burned: 325 (million)
% 17.74/8.86 % (3469487)Instruction limit reached!
% 17.74/8.86 % (3469487)------------------------------
% 17.74/8.86 % (3469487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/8.86 % (3469487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/8.86 % (3469487)CaDiCaL version: 2.1.3
% 17.74/8.86 % (3469487)Termination reason: Instruction limit
% 17.74/8.86 % (3469487)Termination phase: Property scanning
% 17.74/8.86 % (3469487)Time elapsed: 0.120 s
% 17.74/8.86 % (3469487)Peak memory usage: 118 MB
% 17.74/8.86 % (3469487)Instructions burned: 297 (million)
% 17.74/8.86 % (3469491)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3136250093:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 17.74/8.86 % (3469494)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=771762140:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 17.74/8.86 % (3469491)Instruction limit reached!
% 17.74/8.86 % (3469491)------------------------------
% 17.74/8.86 % (3469491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/8.86 % (3469491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/8.86 % (3469491)CaDiCaL version: 2.1.3
% 17.74/8.86 % (3469491)Termination reason: Instruction limit
% 17.74/8.86 % (3469491)Termination phase: SInE selection
% 17.74/8.86 % (3469491)Time elapsed: 0.090 s
% 17.74/8.86 % (3469491)Peak memory usage: 112 MB
% 17.74/8.86 % (3469491)Instructions burned: 113 (million)
% 17.74/8.86 % (3469494)Instruction limit reached!
% 17.74/8.86 % (3469494)------------------------------
% 17.74/8.86 % (3469494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.74/8.86 % (3469494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.74/8.86 % (3469494)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469494)Termination reason: Instruction limit
% 20.98/9.29 % (3469494)Termination phase: Property scanning
% 20.98/9.29 % (3469494)Time elapsed: 0.028 s
% 20.98/9.29 % (3469494)Peak memory usage: 112 MB
% 20.98/9.29 % (3469494)Instructions burned: 116 (million)
% 20.98/9.29 % (3469493)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2439406854:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 20.98/9.29 % (3469493)Instruction limit reached!
% 20.98/9.29 % (3469493)------------------------------
% 20.98/9.29 % (3469493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469493)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469493)Termination reason: Instruction limit
% 20.98/9.29 % (3469493)Termination phase: Preprocessing 1
% 20.98/9.29 % (3469493)Time elapsed: 0.092 s
% 20.98/9.29 % (3469493)Peak memory usage: 112 MB
% 20.98/9.29 % (3469493)Instructions burned: 128 (million)
% 20.98/9.29 % (3469498)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1532929533:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 20.98/9.29 % (3469497)lrs+10_1_sil=8000:sp=occurrence:random_seed=3394549662:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 20.98/9.29 % (3469498)Instruction limit reached!
% 20.98/9.29 % (3469498)------------------------------
% 20.98/9.29 % (3469498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469498)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469498)Termination reason: Instruction limit
% 20.98/9.29 % (3469498)Termination phase: Saturation
% 20.98/9.29 % (3469498)Time elapsed: 0.143 s
% 20.98/9.29 % (3469498)Peak memory usage: 119 MB
% 20.98/9.29 % (3469498)Instructions burned: 438 (million)
% 20.98/9.29 % (3469500)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=331615010:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 20.98/9.29 % (3469504)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=12734216:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 20.98/9.29 % (3469504)Instruction limit reached!
% 20.98/9.29 % (3469504)------------------------------
% 20.98/9.29 % (3469504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469504)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469504)Termination reason: Instruction limit
% 20.98/9.29 % (3469504)Termination phase: NewCNF
% 20.98/9.29 % (3469504)Time elapsed: 0.068 s
% 20.98/9.29 % (3469504)Peak memory usage: 115 MB
% 20.98/9.29 % (3469504)Instructions burned: 135 (million)
% 20.98/9.29 % (3469506)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3123440291:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 20.98/9.29 % (3469497)Instruction limit reached!
% 20.98/9.29 % (3469497)------------------------------
% 20.98/9.29 % (3469497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469497)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469497)Termination reason: Instruction limit
% 20.98/9.29 % (3469497)Termination phase: Saturation
% 20.98/9.29 % (3469497)Time elapsed: 0.535 s
% 20.98/9.29 % (3469497)Peak memory usage: 132 MB
% 20.98/9.29 % (3469497)Instructions burned: 907 (million)
% 20.98/9.29 % (3469508)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2370136084:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 20.98/9.29 % (3469506)Instruction limit reached!
% 20.98/9.29 % (3469506)------------------------------
% 20.98/9.29 % (3469506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469506)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469506)Termination reason: Instruction limit
% 20.98/9.29 % (3469506)Termination phase: Preprocessing 3
% 20.98/9.29 % (3469506)Time elapsed: 0.263 s
% 20.98/9.29 % (3469506)Peak memory usage: 133 MB
% 20.98/9.29 % (3469506)Instructions burned: 592 (million)
% 20.98/9.29 % (3469510)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=85824269:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 20.98/9.29 % (3469489)Instruction limit reached!
% 20.98/9.29 % (3469489)------------------------------
% 20.98/9.29 % (3469489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469489)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469489)Termination reason: Instruction limit
% 20.98/9.29 % (3469489)Termination phase: Property scanning
% 20.98/9.29 % (3469489)Time elapsed: 1.255 s
% 20.98/9.29 % (3469489)Peak memory usage: 170 MB
% 20.98/9.29 % (3469489)Instructions burned: 2350 (million)
% 20.98/9.29 % (3469510)Instruction limit reached!
% 20.98/9.29 % (3469510)------------------------------
% 20.98/9.29 % (3469510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469510)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469510)Termination reason: Instruction limit
% 20.98/9.29 % (3469510)Termination phase: Property scanning
% 20.98/9.29 % (3469510)Time elapsed: 0.030 s
% 20.98/9.29 % (3469510)Peak memory usage: 112 MB
% 20.98/9.29 % (3469510)Instructions burned: 129 (million)
% 20.98/9.29 % (3469513)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=757805043:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 20.98/9.29 % (3469512)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=634510038:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 20.98/9.29 % (3469513)Instruction limit reached!
% 20.98/9.29 % (3469513)------------------------------
% 20.98/9.29 % (3469513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469513)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469513)Termination reason: Instruction limit
% 20.98/9.29 % (3469513)Termination phase: Saturation
% 20.98/9.29 % (3469513)Time elapsed: 0.068 s
% 20.98/9.29 % (3469513)Peak memory usage: 117 MB
% 20.98/9.29 % (3469513)Instructions burned: 141 (million)
% 20.98/9.29 % (3469512)Instruction limit reached!
% 20.98/9.29 % (3469512)------------------------------
% 20.98/9.29 % (3469512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469512)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469512)Termination reason: Instruction limit
% 20.98/9.29 % (3469512)Termination phase: Property scanning
% 20.98/9.29 % (3469512)Time elapsed: 0.060 s
% 20.98/9.29 % (3469512)Peak memory usage: 112 MB
% 20.98/9.29 % (3469512)Instructions burned: 136 (million)
% 20.98/9.29 % (3469516)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=517143901:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 20.98/9.29 % (3469517)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1354480158:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 20.98/9.29 % (3469516)Instruction limit reached!
% 20.98/9.29 % (3469516)------------------------------
% 20.98/9.29 % (3469516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469516)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469516)Termination reason: Instruction limit
% 20.98/9.29 % (3469516)Termination phase: Saturation
% 20.98/9.29 % (3469516)Time elapsed: 0.152 s
% 20.98/9.29 % (3469516)Peak memory usage: 120 MB
% 20.98/9.29 % (3469516)Instructions burned: 432 (million)
% 20.98/9.29 % (3469520)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3972203513:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 20.98/9.29 % (3469468)First to succeed.
% 20.98/9.29 % (3469520)Instruction limit reached!
% 20.98/9.29 % (3469520)------------------------------
% 20.98/9.29 % (3469520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.98/9.29 % (3469520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.98/9.29 % (3469520)CaDiCaL version: 2.1.3
% 20.98/9.29 % (3469520)Termination reason: Instruction limit
% 20.98/9.29 % (3469520)Termination phase: Preprocessing 1
% 20.98/9.29 % (3469520)Time elapsed: 0.074 s
% 20.98/9.29 % (3469520)Peak memory usage: 113 MB
% 20.98/9.29 % (3469520)Instructions burned: 151 (million)
% 20.98/9.29 % (3469468)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3469461"
% 20.98/9.29 % (3469522)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4255507908:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 20.98/9.29 % (3469468)Refutation found. Thanks to Tanya!
% 20.98/9.29 % SZS status Theorem for theBenchmark
% 20.98/9.29 % SZS output start Proof for theBenchmark
% See solution above
% 21.59/9.49 % (3469468)------------------------------
% 21.59/9.49 % (3469468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.59/9.49 % (3469468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/9.49 % (3469468)CaDiCaL version: 2.1.3
% 21.59/9.49 % (3469468)Termination reason: Refutation
% 21.59/9.49 % (3469468)Time elapsed: 2.409 s
% 21.59/9.49 % (3469468)Peak memory usage: 180 MB
% 21.59/9.49 % (3469468)Instructions burned: 4095 (million)
% 21.59/9.49 % (3469468)------------------------------
% 21.59/9.49 % (3469468)------------------------------
% 21.59/9.49 % (3469461)Success in time 3.441 s
% 21.59/9.49 % Vampire exiting
%------------------------------------------------------------------------------