%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT354+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 11:47:14 AM UTC 2026
% Result : Theorem 20.13s 4.69s
% Output : Refutation 21.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 41
% Syntax : Number of formulae : 435 ( 64 unt; 23 def)
% Number of atoms : 5131 ( 122 equ)
% Maximal formula atoms : 40 ( 11 avg)
% Number of connectives : 8953 (4257 ~;4296 |; 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 : 325 ( 0 sgn 319 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1394,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f11561,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f11586,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',t44_yellow_7) ).
fof(f18893,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(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',d3_waybel34) ).
fof(f18915,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel34) ).
fof(f18917,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))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(X0,X1,X2) = k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel34) ).
fof(f18918,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))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(X0,X1,X2) = k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f18917]) ).
fof(f18989,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))
& v17_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)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
inference(pure_predicate_removal,[],[f18915]) ).
fof(f19006,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ 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(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f18893]) ).
fof(f19007,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ 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(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f19006]) ).
fof(f19022,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(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(flattening,[],[f19022]) ).
fof(f19024,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(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(flattening,[],[f19024]) ).
fof(f19038,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(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(flattening,[],[f19038]) ).
fof(f19040,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)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f18989]) ).
fof(f19041,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)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f19040]) ).
fof(f19044,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(X0,X1,X2) != k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_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,[],[f18918]) ).
fof(f19045,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(X0,X1,X2) != k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_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,[],[f19044]) ).
fof(f19050,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11561]) ).
fof(f19051,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19050]) ).
fof(f19055,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(f19056,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,[],[f19055]) ).
fof(f19063,plain,
! [X0] :
( ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16235]) ).
fof(f19064,plain,
! [X0] :
( ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19063]) ).
fof(f19076,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(f19077,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,[],[f19076]) ).
fof(f19078,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(f19079,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19078]) ).
fof(f19080,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(f19081,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19080]) ).
fof(f19082,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(f19083,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19082]) ).
fof(f19084,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16049]) ).
fof(f19085,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11637]) ).
fof(f19086,plain,
! [X0] :
( ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11586]) ).
fof(f19164,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(f19165,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,[],[f19164]) ).
fof(f19406,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,[],[f19023]) ).
fof(f19407,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,[],[f19025]) ).
fof(f19408,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3))
& v1_funct_1(sK3)
& v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v17_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)],[f19045]) ).
fof(f19412,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(f19427,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,[],[f19064]) ).
fof(f19433,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,[],[f19086]) ).
fof(f19471,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,[],[f19165]) ).
fof(f19526,plain,
! [X2,X0,X1] :
( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f19007]) ).
fof(f19527,plain,
! [X2,X0,X1] :
( v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f19007]) ).
fof(f19528,plain,
! [X2,X0,X1] :
( v1_funct_1(k1_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(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f19007]) ).
fof(f19566,plain,
! [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(cnf_transformation,[],[f19406]) ).
fof(f19567,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,[],[f19406]) ).
fof(f19569,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,[],[f19407]) ).
fof(f19596,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,[],[f19039]) ).
fof(f19601,plain,
! [X2,X0,X1] :
( v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f19041]) ).
fof(f19615,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f19408]) ).
fof(f19616,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f19408]) ).
fof(f19617,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f19408]) ).
fof(f19618,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f19408]) ).
fof(f19619,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f19408]) ).
fof(f19620,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f19408]) ).
fof(f19621,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f19408]) ).
fof(f19622,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f19408]) ).
fof(f19623,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f19408]) ).
fof(f19624,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f19408]) ).
fof(f19625,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f19408]) ).
fof(f19626,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f19408]) ).
fof(f19627,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f19408]) ).
fof(f19628,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f19408]) ).
fof(f19629,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f19408]) ).
fof(f19630,plain,
v17_waybel_0(sK3,sK1,sK2),
inference(cnf_transformation,[],[f19408]) ).
fof(f19631,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f19408]) ).
fof(f19632,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f19408]) ).
fof(f19633,plain,
k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3)),
inference(cnf_transformation,[],[f19408]) ).
fof(f19642,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19412]) ).
fof(f19650,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19051]) ).
fof(f19663,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,[],[f19056]) ).
fof(f19666,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,[],[f19056]) ).
fof(f19667,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,[],[f19056]) ).
fof(f19701,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19427]) ).
fof(f19720,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19077]) ).
fof(f19723,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19079]) ).
fof(f19725,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19081]) ).
fof(f19727,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19083]) ).
fof(f19729,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19084]) ).
fof(f19730,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19085]) ).
fof(f19732,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19433]) ).
fof(f19875,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,[],[f19471]) ).
fof(f19876,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,[],[f19471]) ).
fof(f20191,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),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(equality_resolution,[],[f19566]) ).
fof(f20206,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,[],[f19876]) ).
fof(f20207,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,[],[f20206]) ).
fof(f20208,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,[],[f19875]) ).
fof(f20209,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,[],[f20208]) ).
fof(f20257,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,[],[f20207]) ).
fof(f20258,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,[],[f20209]) ).
fof(f20264,definition,
( spl86_1
<=> k1_waybel34(sK1,sK2,sK3) = k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl86_1])],[avatar_definition]) ).
fof(f20266,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3))
| spl86_1 ),
inference(avatar_component_clause,[],[f20264]) ).
fof(f20267,plain,
~ spl86_1,
inference(avatar_split_clause,[],[f19633,f20264]) ).
fof(f20268,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),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,[],[f20266,f19596]) ).
fof(f20270,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),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,[],[f20268,f19632]) ).
fof(f20271,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),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,[],[f20270,f19631]) ).
fof(f20272,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl86_1 ),
inference(forward_subsumption_resolution,[],[f20271,f19629]) ).
fof(f20273,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ l1_orders_2(sK1)
| spl86_1 ),
inference(forward_subsumption_resolution,[],[f20272,f19622]) ).
fof(f20274,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| spl86_1 ),
inference(forward_subsumption_resolution,[],[f20273,f19615]) ).
fof(f20276,definition,
( spl86_2
<=> v1_funct_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl86_2])],[avatar_definition]) ).
fof(f20278,plain,
( v1_funct_1(sK3)
| ~ spl86_2 ),
inference(avatar_component_clause,[],[f20276]) ).
fof(f20279,plain,
spl86_2,
inference(avatar_split_clause,[],[f19632,f20276]) ).
fof(f20281,definition,
( spl86_3
<=> k1_waybel34(sK1,sK2,sK3) = k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3) ),
introduced(definition,[new_symbols(definition,[spl86_3])],[avatar_definition]) ).
fof(f20283,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| spl86_3 ),
inference(avatar_component_clause,[],[f20281]) ).
fof(f20284,plain,
( ~ spl86_3
| spl86_1 ),
inference(avatar_split_clause,[],[f20274,f20264,f20281]) ).
fof(f20285,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_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(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(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)) )
| spl86_3 ),
inference(superposition,[],[f20283,f19569]) ).
fof(f20286,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_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(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(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)) )
| ~ spl86_2
| spl86_3 ),
inference(forward_subsumption_resolution,[],[f20285,f20278]) ).
fof(f20288,definition,
( spl86_4
<=> v2_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_4])],[avatar_definition]) ).
fof(f20290,plain,
( v2_orders_2(sK2)
| ~ spl86_4 ),
inference(avatar_component_clause,[],[f20288]) ).
fof(f20291,plain,
spl86_4,
inference(avatar_split_clause,[],[f19628,f20288]) ).
fof(f20293,definition,
( spl86_5
<=> v3_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_5])],[avatar_definition]) ).
fof(f20295,plain,
( v3_lattice3(sK2)
| ~ spl86_5 ),
inference(avatar_component_clause,[],[f20293]) ).
fof(f20296,plain,
spl86_5,
inference(avatar_split_clause,[],[f19623,f20293]) ).
fof(f20298,definition,
( spl86_6
<=> v2_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_6])],[avatar_definition]) ).
fof(f20300,plain,
( v2_orders_2(sK1)
| ~ spl86_6 ),
inference(avatar_component_clause,[],[f20298]) ).
fof(f20301,plain,
spl86_6,
inference(avatar_split_clause,[],[f19621,f20298]) ).
fof(f20303,definition,
( spl86_7
<=> v3_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_7])],[avatar_definition]) ).
fof(f20305,plain,
( v3_lattice3(sK1)
| ~ spl86_7 ),
inference(avatar_component_clause,[],[f20303]) ).
fof(f20306,plain,
spl86_7,
inference(avatar_split_clause,[],[f19616,f20303]) ).
fof(f20308,definition,
( spl86_8
<=> v2_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_8])],[avatar_definition]) ).
fof(f20310,plain,
( v2_lattice3(sK2)
| ~ spl86_8 ),
inference(avatar_component_clause,[],[f20308]) ).
fof(f20311,plain,
spl86_8,
inference(avatar_split_clause,[],[f19624,f20308]) ).
fof(f20313,definition,
( spl86_9
<=> v17_waybel_0(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl86_9])],[avatar_definition]) ).
fof(f20315,plain,
( v17_waybel_0(sK3,sK1,sK2)
| ~ spl86_9 ),
inference(avatar_component_clause,[],[f20313]) ).
fof(f20316,plain,
spl86_9,
inference(avatar_split_clause,[],[f19630,f20313]) ).
fof(f20317,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_lattice3(sK1)
| ~ v3_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))
| ~ 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) )
| ~ spl86_9 ),
inference(resolution,[],[f20315,f19567]) ).
fof(f20335,plain,
( v18_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_9 ),
inference(resolution,[],[f20315,f19601]) ).
fof(f20372,plain,
( v18_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_9 ),
inference(forward_subsumption_resolution,[],[f20335,f20300]) ).
fof(f20388,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_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))
| ~ 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) )
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20317,f20305]) ).
fof(f20406,plain,
( v18_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_9 ),
inference(forward_subsumption_resolution,[],[f20372,f19620]) ).
fof(f20422,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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))
| ~ 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(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) )
| ~ spl86_5
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20388,f20295]) ).
fof(f20440,plain,
( v18_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_9 ),
inference(forward_subsumption_resolution,[],[f20406,f19619]) ).
fof(f20456,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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))
| ~ 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(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) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20422,f20278]) ).
fof(f20474,plain,
( v18_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_9 ),
inference(forward_subsumption_resolution,[],[f20440,f19618]) ).
fof(f20490,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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))
| ~ 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)
| ~ 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) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20456,f19631]) ).
fof(f20506,plain,
( v18_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_9 ),
inference(forward_subsumption_resolution,[],[f20474,f19617]) ).
fof(f20522,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)
| ~ 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) )
| ~ spl86_2
| ~ spl86_5
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20490,f19629]) ).
fof(f20536,plain,
( v18_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_9 ),
inference(forward_subsumption_resolution,[],[f20506,f20305]) ).
fof(f20552,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)
| ~ 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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20522,f20290]) ).
fof(f20565,plain,
( v18_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_9 ),
inference(forward_subsumption_resolution,[],[f20536,f19615]) ).
fof(f20581,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)
| ~ 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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20552,f19627]) ).
fof(f20594,plain,
( v18_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_4
| ~ spl86_6
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20565,f20290]) ).
fof(f20610,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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))
| ~ 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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20581,f19626]) ).
fof(f20623,plain,
( v18_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_4
| ~ spl86_6
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20594,f19627]) ).
fof(f20639,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20610,f19625]) ).
fof(f20652,plain,
( v18_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_4
| ~ spl86_6
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20623,f19626]) ).
fof(f20668,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20639,f20310]) ).
fof(f20681,plain,
( v18_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_4
| ~ spl86_6
| ~ spl86_7
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20652,f19625]) ).
fof(f20697,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20668,f19622]) ).
fof(f20710,plain,
( v18_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_4
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20681,f20310]) ).
fof(f20726,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20697,f20300]) ).
fof(f20737,plain,
( v18_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_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20710,f20295]) ).
fof(f20753,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20726,f19620]) ).
fof(f20764,plain,
( v18_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_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20737,f19622]) ).
fof(f20780,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20753,f19619]) ).
fof(f20791,plain,
( v18_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_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20764,f20278]) ).
fof(f20807,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20780,f19618]) ).
fof(f20818,plain,
( v18_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_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20791,f19631]) ).
fof(f20834,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20807,f19617]) ).
fof(f20847,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(forward_subsumption_resolution,[],[f20834,f19615]) ).
fof(f20849,definition,
( spl86_10
<=> ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)) ) ),
introduced(definition,[new_symbols(definition,[spl86_10])],[avatar_definition]) ).
fof(f20850,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| k1_waybel34(sK1,sK2,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_10 ),
inference(avatar_component_clause,[],[f20849]) ).
fof(f20851,plain,
( spl86_10
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9 ),
inference(avatar_split_clause,[],[f20847,f20313,f20308,f20303,f20298,f20293,f20288,f20276,f20849]) ).
fof(f20861,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_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(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))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_10 ),
inference(resolution,[],[f20850,f20257]) ).
fof(f20866,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_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(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_10 ),
inference(duplicate_literal_removal,[],[f20861]) ).
fof(f20879,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(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(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20866,f20278]) ).
fof(f20890,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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(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(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20879,f19667]) ).
fof(f20901,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_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(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20890,f19666]) ).
fof(f20912,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20901,f19631]) ).
fof(f20923,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20912,f19629]) ).
fof(f20933,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20923,f20290]) ).
fof(f20943,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20933,f19627]) ).
fof(f20949,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20943,f19626]) ).
fof(f20955,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20949,f19622]) ).
fof(f20960,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20955,f20300]) ).
fof(f20965,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20960,f19620]) ).
fof(f20970,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20965,f19619]) ).
fof(f20975,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK2)
| v3_struct_0(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_10 ),
inference(forward_subsumption_resolution,[],[f20970,f19615]) ).
fof(f20977,definition,
( spl86_11
<=> m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl86_11])],[avatar_definition]) ).
fof(f20978,plain,
( m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_11 ),
inference(avatar_component_clause,[],[f20977]) ).
fof(f20979,plain,
( ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| spl86_11 ),
inference(avatar_component_clause,[],[f20977]) ).
fof(f20986,plain,
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| spl86_11 ),
inference(resolution,[],[f20979,f19642]) ).
fof(f20987,plain,
( $false
| spl86_11 ),
inference(forward_subsumption_resolution,[],[f20986,f19629]) ).
fof(f20988,plain,
spl86_11,
inference(avatar_contradiction_clause,[],[f20987]) ).
fof(f20993,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11 ),
inference(backward_subsumption_resolution,[],[f20818,f20978]) ).
fof(f21024,definition,
( spl86_13
<=> v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2)) ),
introduced(definition,[new_symbols(definition,[spl86_13])],[avatar_definition]) ).
fof(f21026,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl86_13 ),
inference(avatar_component_clause,[],[f21024]) ).
fof(f21027,plain,
( spl86_13
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11 ),
inference(avatar_split_clause,[],[f20993,f20977,f20313,f20308,f20303,f20298,f20293,f20288,f20276,f21024]) ).
fof(f21066,plain,
( v18_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_13 ),
inference(superposition,[],[f21026,f19596]) ).
fof(f21067,plain,
( v18_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_13 ),
inference(forward_subsumption_resolution,[],[f21066,f20278]) ).
fof(f21069,plain,
( v18_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_13 ),
inference(forward_subsumption_resolution,[],[f21067,f19631]) ).
fof(f21070,plain,
( v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f21069,f19629]) ).
fof(f21071,plain,
( v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f21070,f19622]) ).
fof(f21072,plain,
( v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl86_2
| ~ spl86_13 ),
inference(forward_subsumption_resolution,[],[f21071,f19615]) ).
fof(f21073,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(sK2))
| ~ 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)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(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)) )
| ~ spl86_2
| spl86_3
| ~ spl86_13 ),
inference(backward_subsumption_resolution,[],[f20286,f21072]) ).
fof(f21130,definition,
( spl86_16
<=> v2_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_16])],[avatar_definition]) ).
fof(f21132,plain,
( v2_lattice3(sK1)
| ~ spl86_16 ),
inference(avatar_component_clause,[],[f21130]) ).
fof(f21133,plain,
spl86_16,
inference(avatar_split_clause,[],[f19617,f21130]) ).
fof(f21135,definition,
( spl86_17
<=> v1_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_17])],[avatar_definition]) ).
fof(f21137,plain,
( v1_lattice3(sK2)
| ~ spl86_17 ),
inference(avatar_component_clause,[],[f21135]) ).
fof(f21138,plain,
spl86_17,
inference(avatar_split_clause,[],[f19625,f21135]) ).
fof(f21140,definition,
( spl86_18
<=> v4_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_18])],[avatar_definition]) ).
fof(f21142,plain,
( v4_orders_2(sK2)
| ~ spl86_18 ),
inference(avatar_component_clause,[],[f21140]) ).
fof(f21143,plain,
spl86_18,
inference(avatar_split_clause,[],[f19626,f21140]) ).
fof(f21253,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ spl86_4 ),
inference(resolution,[],[f20290,f19727]) ).
fof(f21756,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ spl86_4 ),
inference(forward_subsumption_resolution,[],[f21253,f19622]) ).
fof(f22115,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(sK2))
| ~ 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)))
| ~ 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))
| ~ 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)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_13 ),
inference(backward_subsumption_resolution,[],[f21073,f21756]) ).
fof(f23089,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,[],[f20278,f19663]) ).
fof(f23294,definition,
( spl86_19
<=> v3_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_19])],[avatar_definition]) ).
fof(f23296,plain,
( v3_orders_2(sK2)
| ~ spl86_19 ),
inference(avatar_component_clause,[],[f23294]) ).
fof(f23297,plain,
spl86_19,
inference(avatar_split_clause,[],[f19627,f23294]) ).
fof(f23407,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ l1_orders_2(sK1)
| ~ spl86_6 ),
inference(resolution,[],[f20300,f19727]) ).
fof(f23910,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ spl86_6 ),
inference(forward_subsumption_resolution,[],[f23407,f19615]) ).
fof(f24269,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(sK2))
| ~ 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))
| ~ 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)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_6
| ~ spl86_13 ),
inference(backward_subsumption_resolution,[],[f22115,f23910]) ).
fof(f25184,definition,
( spl86_20
<=> l1_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl86_20])],[avatar_definition]) ).
fof(f25186,plain,
( l1_orders_2(sK2)
| ~ spl86_20 ),
inference(avatar_component_clause,[],[f25184]) ).
fof(f25187,plain,
spl86_20,
inference(avatar_split_clause,[],[f19622,f25184]) ).
fof(f25189,definition,
( spl86_21
<=> v4_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_21])],[avatar_definition]) ).
fof(f25191,plain,
( v4_orders_2(sK1)
| ~ spl86_21 ),
inference(avatar_component_clause,[],[f25189]) ).
fof(f25192,plain,
spl86_21,
inference(avatar_split_clause,[],[f19619,f25189]) ).
fof(f25194,definition,
( spl86_22
<=> v1_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_22])],[avatar_definition]) ).
fof(f25196,plain,
( v1_lattice3(sK1)
| ~ spl86_22 ),
inference(avatar_component_clause,[],[f25194]) ).
fof(f25197,plain,
spl86_22,
inference(avatar_split_clause,[],[f19618,f25194]) ).
fof(f25294,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| ~ spl86_5 ),
inference(resolution,[],[f20295,f19701]) ).
fof(f25361,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ spl86_5
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f25294,f25186]) ).
fof(f25481,plain,
( ~ v3_struct_0(sK2)
| ~ v2_lattice3(sK2)
| ~ spl86_20 ),
inference(resolution,[],[f25186,f19650]) ).
fof(f25569,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ spl86_20 ),
inference(resolution,[],[f25186,f19720]) ).
fof(f25572,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ spl86_20 ),
inference(resolution,[],[f25186,f19723]) ).
fof(f25574,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ spl86_20 ),
inference(resolution,[],[f25186,f19725]) ).
fof(f25578,plain,
( u1_struct_0(sK2) = u1_struct_0(k7_lattice3(sK2))
| ~ spl86_20 ),
inference(resolution,[],[f25186,f19729]) ).
fof(f25579,plain,
( l1_orders_2(k7_lattice3(sK2))
| ~ spl86_20 ),
inference(resolution,[],[f25186,f19730]) ).
fof(f25581,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ spl86_20 ),
inference(resolution,[],[f25186,f19732]) ).
fof(f26152,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ spl86_17
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f25581,f21137]) ).
fof(f26200,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(sK2))
| ~ 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))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_6
| ~ spl86_13
| ~ spl86_20 ),
inference(backward_subsumption_resolution,[],[f24269,f25579]) ).
fof(f26213,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f25574,f23296]) ).
fof(f26214,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ spl86_18
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f25572,f21142]) ).
fof(f26216,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ spl86_8
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f25569,f20310]) ).
fof(f26250,plain,
( ~ v3_struct_0(sK2)
| ~ spl86_8
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f25481,f20310]) ).
fof(f26333,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(sK2))
| ~ 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))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_6
| ~ spl86_13
| ~ spl86_17
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f26200,f26152]) ).
fof(f26366,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),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_struct_0(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_20 ),
inference(backward_subsumption_resolution,[],[f20975,f26250]) ).
fof(f26505,plain,
( v3_lattice3(k7_lattice3(sK2))
| ~ spl86_5
| ~ spl86_8
| ~ spl86_20 ),
inference(backward_subsumption_resolution,[],[f25361,f26250]) ).
fof(f26720,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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(sK2))
| ~ 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))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_6
| ~ spl86_13
| ~ spl86_17
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f26333,f26213]) ).
fof(f26737,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| v3_struct_0(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_20 ),
inference(forward_demodulation,[],[f26366,f25578]) ).
fof(f26818,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_13
| ~ spl86_17
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f26720,f26505]) ).
fof(f26831,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))
| k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| v3_struct_0(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_20 ),
inference(forward_demodulation,[],[f26737,f25578]) ).
fof(f26891,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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))
| ~ v1_lattice3(k7_lattice3(sK2)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_8
| ~ spl86_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f26818,f26214]) ).
fof(f26949,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_subsumption_resolution,[],[f26891,f26216]) ).
fof(f27003,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_demodulation,[],[f26949,f25578]) ).
fof(f27049,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_demodulation,[],[f27003,f25578]) ).
fof(f27068,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_demodulation,[],[f27049,f25578]) ).
fof(f27083,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20 ),
inference(forward_demodulation,[],[f27068,f25578]) ).
fof(f27089,definition,
( spl86_23
<=> v3_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_23])],[avatar_definition]) ).
fof(f27091,plain,
( v3_orders_2(sK1)
| ~ spl86_23 ),
inference(avatar_component_clause,[],[f27089]) ).
fof(f27092,plain,
spl86_23,
inference(avatar_split_clause,[],[f19620,f27089]) ).
fof(f27189,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl86_7 ),
inference(resolution,[],[f20305,f19701]) ).
fof(f27256,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ spl86_7 ),
inference(forward_subsumption_resolution,[],[f27189,f19615]) ).
fof(f27260,definition,
( spl86_24
<=> l1_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl86_24])],[avatar_definition]) ).
fof(f27262,plain,
( l1_orders_2(sK1)
| ~ spl86_24 ),
inference(avatar_component_clause,[],[f27260]) ).
fof(f27263,plain,
spl86_24,
inference(avatar_split_clause,[],[f19615,f27260]) ).
fof(f27264,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,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)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_11 ),
inference(resolution,[],[f20978,f19526]) ).
fof(f27265,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,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)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_11 ),
inference(resolution,[],[f20978,f19527]) ).
fof(f27266,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ 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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_11 ),
inference(resolution,[],[f20978,f19528]) ).
fof(f27381,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ 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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11 ),
inference(forward_subsumption_resolution,[],[f27266,f20300]) ).
fof(f27382,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,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)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11 ),
inference(forward_subsumption_resolution,[],[f27265,f20300]) ).
fof(f27383,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,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)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11 ),
inference(forward_subsumption_resolution,[],[f27264,f20300]) ).
fof(f27428,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ 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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27381,f27091]) ).
fof(f27429,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27382,f27091]) ).
fof(f27430,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27383,f27091]) ).
fof(f27472,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ 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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27428,f25191]) ).
fof(f27473,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27429,f25191]) ).
fof(f27474,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_21
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27430,f25191]) ).
fof(f27516,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ 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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27472,f25196]) ).
fof(f27517,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27473,f25196]) ).
fof(f27518,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27474,f25196]) ).
fof(f27614,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ 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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27516,f21132]) ).
fof(f27615,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27517,f21132]) ).
fof(f27616,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23 ),
inference(forward_subsumption_resolution,[],[f27518,f21132]) ).
fof(f27706,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27614,f27262]) ).
fof(f27707,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27615,f27262]) ).
fof(f27708,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27616,f27262]) ).
fof(f27784,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27706,f20290]) ).
fof(f27785,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27707,f20290]) ).
fof(f27786,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,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)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27708,f20290]) ).
fof(f27817,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27784,f23296]) ).
fof(f27818,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27785,f23296]) ).
fof(f27819,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27786,f23296]) ).
fof(f27850,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27817,f21142]) ).
fof(f27851,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27818,f21142]) ).
fof(f27852,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27819,f21142]) ).
fof(f27881,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27850,f21137]) ).
fof(f27882,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27851,f21137]) ).
fof(f27883,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27852,f21137]) ).
fof(f27912,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27881,f20310]) ).
fof(f27913,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27882,f20310]) ).
fof(f27914,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27883,f20310]) ).
fof(f27938,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27912,f25186]) ).
fof(f27939,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,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_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27913,f25186]) ).
fof(f27940,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,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_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27914,f25186]) ).
fof(f27961,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27938,f20278]) ).
fof(f27962,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27939,f20278]) ).
fof(f27963,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27940,f20278]) ).
fof(f27984,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27961,f19631]) ).
fof(f27985,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27962,f19631]) ).
fof(f27986,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f27963,f19631]) ).
fof(f28577,plain,
( ~ v3_struct_0(sK1)
| ~ v2_lattice3(sK1)
| ~ spl86_24 ),
inference(resolution,[],[f27262,f19650]) ).
fof(f28665,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(sK1)
| ~ spl86_24 ),
inference(resolution,[],[f27262,f19720]) ).
fof(f28668,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(sK1)
| ~ spl86_24 ),
inference(resolution,[],[f27262,f19723]) ).
fof(f28670,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(sK1)
| ~ spl86_24 ),
inference(resolution,[],[f27262,f19725]) ).
fof(f28674,plain,
( u1_struct_0(sK1) = u1_struct_0(k7_lattice3(sK1))
| ~ spl86_24 ),
inference(resolution,[],[f27262,f19729]) ).
fof(f28675,plain,
( l1_orders_2(k7_lattice3(sK1))
| ~ spl86_24 ),
inference(resolution,[],[f27262,f19730]) ).
fof(f28677,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ v1_lattice3(sK1)
| ~ spl86_24 ),
inference(resolution,[],[f27262,f19732]) ).
fof(f29248,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ spl86_22
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f28677,f25196]) ).
fof(f29249,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_24 ),
inference(backward_subsumption_resolution,[],[f27083,f28675]) ).
fof(f29309,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f28670,f27091]) ).
fof(f29310,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ spl86_21
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f28668,f25191]) ).
fof(f29312,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ spl86_16
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f28665,f21132]) ).
fof(f29346,plain,
( ~ v3_struct_0(sK1)
| ~ spl86_16
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f28577,f21132]) ).
fof(f29382,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_22
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f29249,f29248]) ).
fof(f29601,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))
| k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_16
| ~ spl86_20
| ~ spl86_24 ),
inference(backward_subsumption_resolution,[],[f26831,f29346]) ).
fof(f29602,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ spl86_7
| ~ spl86_16
| ~ spl86_24 ),
inference(backward_subsumption_resolution,[],[f27256,f29346]) ).
fof(f29781,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f29382,f29309]) ).
fof(f29847,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))
| k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_16
| ~ spl86_20
| ~ spl86_24 ),
inference(forward_demodulation,[],[f29601,f28674]) ).
fof(f29875,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ 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_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f29781,f29602]) ).
fof(f29929,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_16
| ~ spl86_20
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f29847,f19629]) ).
fof(f29944,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f29875,f29310]) ).
fof(f29994,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_16
| ~ spl86_20
| ~ spl86_24 ),
inference(forward_demodulation,[],[f29929,f28674]) ).
fof(f29999,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f29944,f29312]) ).
fof(f30041,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_10
| ~ spl86_16
| ~ spl86_20
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f29994,f19631]) ).
fof(f30046,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_demodulation,[],[f29999,f28674]) ).
fof(f30078,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f30046,f19629]) ).
fof(f30087,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_demodulation,[],[f30078,f28674]) ).
fof(f30092,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f30087,f19631]) ).
fof(f30097,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)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_demodulation,[],[f30092,f28674]) ).
fof(f30098,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))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_demodulation,[],[f30097,f28674]) ).
fof(f30099,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24 ),
inference(forward_subsumption_resolution,[],[f30098,f30041]) ).
fof(f31024,definition,
( spl86_29
<=> v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl86_29])],[avatar_definition]) ).
fof(f31026,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl86_29 ),
inference(avatar_component_clause,[],[f31024]) ).
fof(f31027,plain,
spl86_29,
inference(avatar_split_clause,[],[f19631,f31024]) ).
fof(f31244,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_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(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))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_29 ),
inference(resolution,[],[f31026,f20258]) ).
fof(f31249,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_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(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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31244,f23089]) ).
fof(f31347,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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(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(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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31249,f20278]) ).
fof(f31444,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(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_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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31347,f19667]) ).
fof(f31541,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31444,f19666]) ).
fof(f31638,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_8
| ~ spl86_20
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31541,f26250]) ).
fof(f31730,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_8
| ~ spl86_20
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31638,f20290]) ).
fof(f31819,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_8
| ~ spl86_19
| ~ spl86_20
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31730,f23296]) ).
fof(f31898,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_8
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31819,f21142]) ).
fof(f31961,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_8
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31898,f25186]) ).
fof(f32015,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_8
| ~ spl86_16
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f31961,f29346]) ).
fof(f32066,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_16
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f32015,f20300]) ).
fof(f32115,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_16
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f32066,f27091]) ).
fof(f32160,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_16
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f32115,f25191]) ).
fof(f32181,plain,
( ! [X0] :
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_16
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f32160,f27262]) ).
fof(f32192,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ 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(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_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f32181,f30099]) ).
fof(f32203,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(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)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_demodulation,[],[f32192,f25578]) ).
fof(f32213,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(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)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_demodulation,[],[f32203,f28674]) ).
fof(f32219,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(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)) )
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f32213,f31026]) ).
fof(f32224,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_demodulation,[],[f32219,f25578]) ).
fof(f32228,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_demodulation,[],[f32224,f28674]) ).
fof(f32231,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f32228,f19629]) ).
fof(f32233,definition,
( spl86_30
<=> ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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)) ) ),
introduced(definition,[new_symbols(definition,[spl86_30])],[avatar_definition]) ).
fof(f32234,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,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_30 ),
inference(avatar_component_clause,[],[f32233]) ).
fof(f32235,plain,
( spl86_30
| ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29 ),
inference(avatar_split_clause,[],[f32231,f31024,f27260,f27089,f25194,f25189,f25184,f23294,f21140,f21135,f21130,f21024,f20849,f20308,f20303,f20298,f20293,f20288,f20281,f20276,f32233]) ).
fof(f32236,plain,
( ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v3_lattice3(sK2)
| ~ v17_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(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)
| ~ spl86_30 ),
inference(resolution,[],[f32234,f20191]) ).
fof(f32259,plain,
( ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v3_lattice3(sK2)
| ~ v17_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(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)
| ~ spl86_30 ),
inference(duplicate_literal_removal,[],[f32236]) ).
fof(f32272,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v3_lattice3(sK2)
| ~ v17_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(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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32259,f27984]) ).
fof(f32285,plain,
( ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v3_lattice3(sK2)
| ~ v17_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(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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32272,f27985]) ).
fof(f32297,plain,
( ~ v3_lattice3(sK1)
| ~ v3_lattice3(sK2)
| ~ v17_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(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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32285,f27986]) ).
fof(f32308,plain,
( ~ v3_lattice3(sK2)
| ~ v17_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(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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32297,f20305]) ).
fof(f32319,plain,
( ~ v17_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(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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32308,f20295]) ).
fof(f32330,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(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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32319,f20315]) ).
fof(f32340,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(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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32330,f20278]) ).
fof(f32350,plain,
( ~ 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)
| ~ 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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32340,f31026]) ).
fof(f32356,plain,
( ~ 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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32350,f19629]) ).
fof(f32362,plain,
( ~ 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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32356,f20290]) ).
fof(f32369,plain,
( ~ 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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32362,f23296]) ).
fof(f32374,plain,
( ~ 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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32369,f21142]) ).
fof(f32379,plain,
( ~ 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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32374,f21137]) ).
fof(f32384,plain,
( ~ 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)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32379,f20310]) ).
fof(f32385,plain,
( ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32384,f25186]) ).
fof(f32386,plain,
( ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32385,f20300]) ).
fof(f32387,plain,
( ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32386,f27091]) ).
fof(f32388,plain,
( ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32387,f25191]) ).
fof(f32389,plain,
( ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32388,f25196]) ).
fof(f32390,plain,
( ~ l1_orders_2(sK1)
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32389,f21132]) ).
fof(f32391,plain,
( $false
| ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(forward_subsumption_resolution,[],[f32390,f27262]) ).
fof(f32392,plain,
( ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(avatar_contradiction_clause,[],[f32391]) ).
cnf(s1,plain,
~ spl86_1,
inference(sat_conversion,[],[f20267]) ).
cnf(s2,plain,
spl86_2,
inference(sat_conversion,[],[f20279]) ).
cnf(s3,plain,
( spl86_1
| ~ spl86_3 ),
inference(sat_conversion,[],[f20284]) ).
cnf(s4,plain,
spl86_4,
inference(sat_conversion,[],[f20291]) ).
cnf(s5,plain,
spl86_5,
inference(sat_conversion,[],[f20296]) ).
cnf(s6,plain,
spl86_6,
inference(sat_conversion,[],[f20301]) ).
cnf(s7,plain,
spl86_7,
inference(sat_conversion,[],[f20306]) ).
cnf(s8,plain,
spl86_8,
inference(sat_conversion,[],[f20311]) ).
cnf(s9,plain,
spl86_9,
inference(sat_conversion,[],[f20316]) ).
cnf(s10,plain,
( ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| spl86_10 ),
inference(sat_conversion,[],[f20851]) ).
cnf(s12,plain,
spl86_11,
inference(sat_conversion,[],[f20988]) ).
cnf(s13,plain,
( ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| spl86_13 ),
inference(sat_conversion,[],[f21027]) ).
cnf(s16,plain,
spl86_16,
inference(sat_conversion,[],[f21133]) ).
cnf(s17,plain,
spl86_17,
inference(sat_conversion,[],[f21138]) ).
cnf(s18,plain,
spl86_18,
inference(sat_conversion,[],[f21143]) ).
cnf(s19,plain,
spl86_19,
inference(sat_conversion,[],[f23297]) ).
cnf(s20,plain,
spl86_20,
inference(sat_conversion,[],[f25187]) ).
cnf(s21,plain,
spl86_21,
inference(sat_conversion,[],[f25192]) ).
cnf(s22,plain,
spl86_22,
inference(sat_conversion,[],[f25197]) ).
cnf(s23,plain,
spl86_23,
inference(sat_conversion,[],[f27092]) ).
cnf(s24,plain,
spl86_24,
inference(sat_conversion,[],[f27263]) ).
cnf(s29,plain,
spl86_29,
inference(sat_conversion,[],[f31027]) ).
cnf(s30,plain,
( ~ spl86_2
| spl86_3
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_10
| ~ spl86_13
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| spl86_30 ),
inference(sat_conversion,[],[f32235]) ).
cnf(s32,plain,
( ~ spl86_2
| ~ spl86_4
| ~ spl86_5
| ~ spl86_6
| ~ spl86_7
| ~ spl86_8
| ~ spl86_9
| ~ spl86_11
| ~ spl86_16
| ~ spl86_17
| ~ spl86_18
| ~ spl86_19
| ~ spl86_20
| ~ spl86_21
| ~ spl86_22
| ~ spl86_23
| ~ spl86_24
| ~ spl86_29
| ~ spl86_30 ),
inference(sat_conversion,[],[f32392]) ).
cnf(s34,plain,
~ spl86_30,
inference(rat,[],[s32,s4,s29,s24,s23,s22,s21,s20,s19,s18,s17,s16,s12,s9,s8,s7,s6,s5,s2]) ).
cnf(s38,plain,
spl86_13,
inference(rat,[],[s13,s4,s12,s9,s8,s7,s6,s5,s2]) ).
cnf(s40,plain,
spl86_10,
inference(rat,[],[s10,s4,s9,s8,s7,s6,s5,s2]) ).
cnf(s44,plain,
spl86_3,
inference(rat,[],[s30,s34,s29,s24,s23,s22,s21,s20,s19,s18,s17,s16,s38,s2,s8,s7,s6,s5,s4,s40]) ).
cnf(s45,plain,
spl86_1,
inference(rat,[],[s3,s44]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s1,s45]) ).
fof(f32393,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT354+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 15:03:05 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.43/3.95 % (3656818)Detected formulas, will run a generic FOF schedule.
% 14.43/3.95 % (3656823)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=2361261542:i=141193_2989 on theBenchmark for (2989ds/141193Mi)
% 14.43/3.95 % (3656828)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3562027489:s2a=on:i=139:gtg=position_2989 on theBenchmark for (2989ds/139Mi)
% 14.43/3.95 % (3656826)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3798961577:i=109:sd=1:ins=1:gsp=on:ss=axioms_2989 on theBenchmark for (2989ds/109Mi)
% 14.43/3.95 % (3656824)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=669327515:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2989 on theBenchmark for (2989ds/134677Mi)
% 14.43/3.95 % (3656825)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=3996540413:i=141695:sd=1:nm=32:gsp=on:ss=included_2989 on theBenchmark for (2989ds/141695Mi)
% 14.43/3.95 % (3656827)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2111747292:i=119:av=off:ss=axioms_2989 on theBenchmark for (2989ds/119Mi)
% 14.43/3.95 % (3656829)dis-21_1_sil=8000:lcm=predicate:random_seed=1591851913:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2989 on theBenchmark for (2989ds/129Mi)
% 14.43/3.95 % (3656828)Instruction limit reached!
% 14.43/3.95 % (3656828)------------------------------
% 14.43/3.95 % (3656828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.95 % (3656828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.95 % (3656828)CaDiCaL version: 2.1.3
% 14.43/3.95 % (3656828)Termination reason: Instruction limit
% 14.43/3.95 % (3656828)Termination phase: Property scanning
% 14.43/3.95 % (3656828)Time elapsed: 0.060 s
% 14.43/3.95 % (3656828)Peak memory usage: 112 MB
% 14.43/3.95 % (3656828)Instructions burned: 141 (million)
% 14.43/3.95 % (3656826)Instruction limit reached!
% 14.43/3.95 % (3656826)------------------------------
% 14.43/3.95 % (3656826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.95 % (3656826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.95 % (3656826)CaDiCaL version: 2.1.3
% 14.43/3.95 % (3656826)Termination reason: Instruction limit
% 14.43/3.95 % (3656826)Termination phase: SInE selection
% 14.43/3.95 % (3656826)Time elapsed: 0.086 s
% 14.43/3.95 % (3656826)Peak memory usage: 112 MB
% 14.43/3.95 % (3656826)Instructions burned: 109 (million)
% 14.43/3.95 % (3656829)Instruction limit reached!
% 14.43/3.95 % (3656829)------------------------------
% 14.43/3.95 % (3656829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.95 % (3656829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.95 % (3656829)CaDiCaL version: 2.1.3
% 14.43/3.95 % (3656829)Termination reason: Instruction limit
% 14.43/3.95 % (3656829)Termination phase: SInE selection
% 14.43/3.95 % (3656829)Time elapsed: 0.086 s
% 14.43/3.95 % (3656829)Peak memory usage: 112 MB
% 14.43/3.95 % (3656829)Instructions burned: 130 (million)
% 14.43/3.95 % (3656827)Instruction limit reached!
% 14.43/3.95 % (3656827)------------------------------
% 14.43/3.95 % (3656827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.43/3.95 % (3656827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.43/3.95 % (3656827)CaDiCaL version: 2.1.3
% 14.43/3.95 % (3656827)Termination reason: Instruction limit
% 14.43/3.95 % (3656827)Termination phase: Preprocessing 1
% 14.43/3.95 % (3656827)Time elapsed: 0.094 s
% 14.43/3.95 % (3656827)Peak memory usage: 112 MB
% 14.43/3.95 % (3656827)Instructions burned: 119 (million)
% 14.43/3.95 % (3656837)lrs+10_1_sil=8000:sp=occurrence:random_seed=594336048:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 14.43/3.95 % (3656839)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2140307222:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 14.43/3.95 % (3656838)lrs+10_1_sil=32000:urr=on:br=off:random_seed=773801827:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 14.43/3.95 % (3656840)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=2423430781:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 14.43/3.95 % (3656838)Instruction limit reached!
% 20.13/4.69 % (3656838)------------------------------
% 20.13/4.69 % (3656838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656838)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656838)Termination reason: Instruction limit
% 20.13/4.69 % (3656838)Termination phase: Property scanning
% 20.13/4.69 % (3656838)Time elapsed: 0.069 s
% 20.13/4.69 % (3656838)Peak memory usage: 112 MB
% 20.13/4.69 % (3656838)Instructions burned: 159 (million)
% 20.13/4.69 % (3656840)Instruction limit reached!
% 20.13/4.69 % (3656840)------------------------------
% 20.13/4.69 % (3656840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656840)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656840)Termination reason: Instruction limit
% 20.13/4.69 % (3656840)Termination phase: Property scanning
% 20.13/4.69 % (3656840)Time elapsed: 0.104 s
% 20.13/4.69 % (3656840)Peak memory usage: 112 MB
% 20.13/4.69 % (3656840)Instructions burned: 248 (million)
% 20.13/4.69 % (3656837)Instruction limit reached!
% 20.13/4.69 % (3656837)------------------------------
% 20.13/4.69 % (3656837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656837)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656837)Termination reason: Instruction limit
% 20.13/4.69 % (3656837)Termination phase: Saturation
% 20.13/4.69 % (3656837)Time elapsed: 0.204 s
% 20.13/4.69 % (3656837)Peak memory usage: 119 MB
% 20.13/4.69 % (3656837)Instructions burned: 287 (million)
% 20.13/4.69 % (3656845)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=278290156:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 20.13/4.69 % (3656839)Instruction limit reached!
% 20.13/4.69 % (3656839)------------------------------
% 20.13/4.69 % (3656839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656839)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656839)Termination reason: Instruction limit
% 20.13/4.69 % (3656839)Termination phase: Saturation
% 20.13/4.69 % (3656839)Time elapsed: 0.213 s
% 20.13/4.69 % (3656839)Peak memory usage: 118 MB
% 20.13/4.69 % (3656839)Instructions burned: 326 (million)
% 20.13/4.69 % (3656846)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2693316174:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 20.13/4.69 % (3656847)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=519953460:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 20.13/4.69 % (3656849)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3471487256:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 20.13/4.69 % (3656845)Instruction limit reached!
% 20.13/4.69 % (3656845)------------------------------
% 20.13/4.69 % (3656845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656845)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656845)Termination reason: Instruction limit
% 20.13/4.69 % (3656845)Termination phase: Property scanning
% 20.13/4.69 % (3656845)Time elapsed: 0.210 s
% 20.13/4.69 % (3656845)Peak memory usage: 118 MB
% 20.13/4.69 % (3656845)Instructions burned: 295 (million)
% 20.13/4.69 % (3656847)Instruction limit reached!
% 20.13/4.69 % (3656847)------------------------------
% 20.13/4.69 % (3656847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656847)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656847)Termination reason: Instruction limit
% 20.13/4.69 % (3656847)Termination phase: SInE selection
% 20.13/4.69 % (3656847)Time elapsed: 0.093 s
% 20.13/4.69 % (3656847)Peak memory usage: 112 MB
% 20.13/4.69 % (3656847)Instructions burned: 113 (million)
% 20.13/4.69 % (3656849)Instruction limit reached!
% 20.13/4.69 % (3656849)------------------------------
% 20.13/4.69 % (3656849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656849)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656849)Termination reason: Instruction limit
% 20.13/4.69 % (3656849)Termination phase: Preprocessing 1
% 20.13/4.69 % (3656849)Time elapsed: 0.093 s
% 20.13/4.69 % (3656849)Peak memory usage: 113 MB
% 20.13/4.69 % (3656849)Instructions burned: 128 (million)
% 20.13/4.69 % (3656854)lrs+10_1_sil=8000:sp=occurrence:random_seed=1628586721:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2981 on theBenchmark for (2981ds/907Mi)
% 20.13/4.69 % (3656853)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3627178941:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 20.13/4.69 % (3656855)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2657017124:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 20.13/4.69 % (3656853)Instruction limit reached!
% 20.13/4.69 % (3656853)------------------------------
% 20.13/4.69 % (3656853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656853)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656853)Termination reason: Instruction limit
% 20.13/4.69 % (3656853)Termination phase: Property scanning
% 20.13/4.69 % (3656853)Time elapsed: 0.052 s
% 20.13/4.69 % (3656853)Peak memory usage: 112 MB
% 20.13/4.69 % (3656853)Instructions burned: 116 (million)
% 20.13/4.69 % (3656859)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2583881259:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 20.13/4.69 % (3656855)Instruction limit reached!
% 20.13/4.69 % (3656855)------------------------------
% 20.13/4.69 % (3656855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656855)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656855)Termination reason: Instruction limit
% 20.13/4.69 % (3656855)Termination phase: Saturation
% 20.13/4.69 % (3656855)Time elapsed: 0.264 s
% 20.13/4.69 % (3656855)Peak memory usage: 119 MB
% 20.13/4.69 % (3656855)Instructions burned: 439 (million)
% 20.13/4.69 % (3656861)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4176062239:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 20.13/4.69 % (3656854)Instruction limit reached!
% 20.13/4.69 % (3656854)------------------------------
% 20.13/4.69 % (3656854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656854)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656854)Termination reason: Instruction limit
% 20.13/4.69 % (3656854)Termination phase: Saturation
% 20.13/4.69 % (3656854)Time elapsed: 0.536 s
% 20.13/4.69 % (3656854)Peak memory usage: 132 MB
% 20.13/4.69 % (3656854)Instructions burned: 907 (million)
% 20.13/4.69 % (3656861)Instruction limit reached!
% 20.13/4.69 % (3656861)------------------------------
% 20.13/4.69 % (3656861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656861)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656861)Termination reason: Instruction limit
% 20.13/4.69 % (3656861)Termination phase: NewCNF
% 20.13/4.69 % (3656861)Time elapsed: 0.118 s
% 20.13/4.69 % (3656861)Peak memory usage: 115 MB
% 20.13/4.69 % (3656861)Instructions burned: 135 (million)
% 20.13/4.69 % (3656863)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=42388624:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 20.13/4.69 % (3656864)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=347330204:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 20.13/4.69 % (3656846)Instruction limit reached!
% 20.13/4.69 % (3656846)------------------------------
% 20.13/4.69 % (3656846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656846)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656846)Termination reason: Instruction limit
% 20.13/4.69 % (3656846)Termination phase: Property scanning
% 20.13/4.69 % (3656846)Time elapsed: 1.275 s
% 20.13/4.69 % (3656846)Peak memory usage: 170 MB
% 20.13/4.69 % (3656846)Instructions burned: 2352 (million)
% 20.13/4.69 % (3656863)Instruction limit reached!
% 20.13/4.69 % (3656863)------------------------------
% 20.13/4.69 % (3656863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656863)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656863)Termination reason: Instruction limit
% 20.13/4.69 % (3656863)Termination phase: Preprocessing 3
% 20.13/4.69 % (3656863)Time elapsed: 0.448 s
% 20.13/4.69 % (3656863)Peak memory usage: 133 MB
% 20.13/4.69 % (3656863)Instructions burned: 592 (million)
% 20.13/4.69 % (3656867)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=3483618472:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/125Mi)
% 20.13/4.69 % (3656867)Instruction limit reached!
% 20.13/4.69 % (3656867)------------------------------
% 20.13/4.69 % (3656867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656867)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656867)Termination reason: Instruction limit
% 20.13/4.69 % (3656867)Termination phase: Property scanning
% 20.13/4.69 % (3656867)Time elapsed: 0.056 s
% 20.13/4.69 % (3656867)Peak memory usage: 112 MB
% 20.13/4.69 % (3656867)Instructions burned: 127 (million)
% 20.13/4.69 % (3656868)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1164877103:i=134:gtgl=5:slsql=off:gtg=exists_sym_2968 on theBenchmark for (2968ds/134Mi)
% 20.13/4.69 % (3656868)Instruction limit reached!
% 20.13/4.69 % (3656868)------------------------------
% 20.13/4.69 % (3656868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656868)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656868)Termination reason: Instruction limit
% 20.13/4.69 % (3656868)Termination phase: Property scanning
% 20.13/4.69 % (3656868)Time elapsed: 0.060 s
% 20.13/4.69 % (3656868)Peak memory usage: 112 MB
% 20.13/4.69 % (3656868)Instructions burned: 134 (million)
% 20.13/4.69 % (3656870)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=211709410:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/141Mi)
% 20.13/4.69 % (3656870)Instruction limit reached!
% 20.13/4.69 % (3656870)------------------------------
% 20.13/4.69 % (3656870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656870)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656870)Termination reason: Instruction limit
% 20.13/4.69 % (3656870)Termination phase: Saturation
% 20.13/4.69 % (3656870)Time elapsed: 0.119 s
% 20.13/4.69 % (3656870)Peak memory usage: 117 MB
% 20.13/4.69 % (3656870)Instructions burned: 142 (million)
% 20.13/4.69 % (3656872)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=679059488:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 20.13/4.69 % (3656825)First to succeed.
% 20.13/4.69 % (3656825)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3656818"
% 20.13/4.69 % (3656874)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=3730816062:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 20.13/4.69 % (3656872)Instruction limit reached!
% 20.13/4.69 % (3656872)------------------------------
% 20.13/4.69 % (3656872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.69 % (3656872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.69 % (3656872)CaDiCaL version: 2.1.3
% 20.13/4.69 % (3656872)Termination reason: Instruction limit
% 20.13/4.69 % (3656872)Termination phase: Saturation
% 20.13/4.69 % (3656872)Time elapsed: 0.276 s
% 20.13/4.69 % (3656872)Peak memory usage: 120 MB
% 20.13/4.69 % (3656872)Instructions burned: 433 (million)
% 20.13/4.69 % (3656825)Refutation found. Thanks to Tanya!
% 20.13/4.69 % SZS status Theorem for theBenchmark
% 20.13/4.69 % SZS output start Proof for theBenchmark
% See solution above
% 21.05/4.89 % (3656825)------------------------------
% 21.05/4.89 % (3656825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.05/4.89 % (3656825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.05/4.89 % (3656825)CaDiCaL version: 2.1.3
% 21.05/4.89 % (3656825)Termination reason: Refutation
% 21.05/4.89 % (3656825)Time elapsed: 2.305 s
% 21.05/4.89 % (3656825)Peak memory usage: 179 MB
% 21.05/4.89 % (3656825)Instructions burned: 3959 (million)
% 21.05/4.89 % (3656825)------------------------------
% 21.05/4.89 % (3656825)------------------------------
% 21.05/4.89 % (3656818)Success in time 3.845 s
% 21.05/4.89 % Vampire exiting
%------------------------------------------------------------------------------