%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT355+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:15 AM UTC 2026
% Result : Theorem 19.05s 8.98s
% Output : Refutation 48.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 37
% Syntax : Number of formulae : 436 ( 56 unt; 18 def)
% Number of atoms : 4967 ( 120 equ)
% Maximal formula atoms : 40 ( 11 avg)
% Number of connectives : 8540 (4009 ~;4107 |; 346 &)
% ( 30 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 46 ( 44 usr; 19 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 321 ( 0 sgn 315 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1483,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f28605,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f28630,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_lattice3) ).
fof(f28681,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f41187,axiom,
! [X0] :
( l1_orders_2(X0)
=> u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_yellow_6) ).
fof(f41342,axiom,
! [X0] :
( ( v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f41343,axiom,
! [X0] :
( ( v3_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f41344,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f41346,axiom,
! [X0] :
( ( v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f41348,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_yellow_7) ).
fof(f41396,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1)) ) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(X1)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1))) ) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(k7_lattice3(X1))) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ) )
& ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_yellow_7) ).
fof(f41401,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
& m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0))) )
=> ( ( X2 = X4
& X3 = X5 )
=> ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_yellow_7) ).
fof(f55675,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel34) ).
fof(f55676,axiom,
! [X0,X1,X2] :
( ( l1_orders_2(X0)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel34) ).
fof(f55687,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v17_waybel_0(X2,X0,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f55688,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v18_waybel_0(X2,X1,X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f55695,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k3_waybel34(X0,X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_waybel34) ).
fof(f55697,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel34) ).
fof(f55699,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) = k2_waybel34(X1,X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_waybel34) ).
fof(f55700,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) = k2_waybel34(X1,X0,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f55699]) ).
fof(f55785,plain,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
inference(pure_predicate_removal,[],[f55697]) ).
fof(f55803,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f55675]) ).
fof(f55804,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(flattening,[],[f55803]) ).
fof(f55805,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f55676]) ).
fof(f55806,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f55805]) ).
fof(f55817,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,[],[f55687]) ).
fof(f55818,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,[],[f55817]) ).
fof(f55819,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,[],[f55688]) ).
fof(f55820,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,[],[f55819]) ).
fof(f55833,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,[],[f55695]) ).
fof(f55834,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,[],[f55833]) ).
fof(f55837,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f55785]) ).
fof(f55838,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f55837]) ).
fof(f55841,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_waybel34(X1,X0,X2) != k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f55700]) ).
fof(f55842,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_waybel34(X1,X0,X2) != k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f55841]) ).
fof(f55853,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28605]) ).
fof(f55854,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55853]) ).
fof(f55862,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,[],[f41396]) ).
fof(f55863,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,[],[f55862]) ).
fof(f55882,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f41348]) ).
fof(f55883,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55882]) ).
fof(f55886,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,[],[f41346]) ).
fof(f55887,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,[],[f55886]) ).
fof(f55888,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,[],[f41344]) ).
fof(f55889,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55888]) ).
fof(f55890,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,[],[f41343]) ).
fof(f55891,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55890]) ).
fof(f55892,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,[],[f41342]) ).
fof(f55893,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55892]) ).
fof(f55894,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f41187]) ).
fof(f55895,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28681]) ).
fof(f55896,plain,
! [X0] :
( ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28630]) ).
fof(f55980,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,[],[f41401]) ).
fof(f55981,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,[],[f55980]) ).
fof(f56280,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,[],[f55818]) ).
fof(f56281,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,[],[f55820]) ).
fof(f56282,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3))
& v1_funct_1(sK3)
& v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v18_waybel_0(sK3,sK1,sK2)
& m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v1_lattice3(sK2)
& v2_lattice3(sK2)
& v3_lattice3(sK2)
& l1_orders_2(sK2)
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& v1_lattice3(sK1)
& v2_lattice3(sK1)
& v3_lattice3(sK1)
& l1_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f55842]) ).
fof(f56288,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,[],[f1483]) ).
fof(f56310,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,[],[f55896]) ).
fof(f56347,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,[],[f55981]) ).
fof(f56426,plain,
! [X2,X0,X1] :
( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f55804]) ).
fof(f56427,plain,
! [X2,X0,X1] :
( v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f55804]) ).
fof(f56428,plain,
! [X2,X0,X1] :
( v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f55804]) ).
fof(f56429,plain,
! [X2,X0,X1] :
( m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f55806]) ).
fof(f56430,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f55806]) ).
fof(f56464,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,[],[f56280]) ).
fof(f56465,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f56281]) ).
fof(f56466,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,[],[f56281]) ).
fof(f56493,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,[],[f55834]) ).
fof(f56507,plain,
! [X2,X0,X1] :
( v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f55838]) ).
fof(f56513,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f56282]) ).
fof(f56514,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f56282]) ).
fof(f56515,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f56282]) ).
fof(f56516,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f56282]) ).
fof(f56517,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f56282]) ).
fof(f56518,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f56282]) ).
fof(f56519,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f56282]) ).
fof(f56520,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f56282]) ).
fof(f56521,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f56282]) ).
fof(f56522,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f56282]) ).
fof(f56523,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f56282]) ).
fof(f56524,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f56282]) ).
fof(f56525,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f56282]) ).
fof(f56526,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f56282]) ).
fof(f56527,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f56282]) ).
fof(f56528,plain,
v18_waybel_0(sK3,sK1,sK2),
inference(cnf_transformation,[],[f56282]) ).
fof(f56529,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f56282]) ).
fof(f56530,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f56282]) ).
fof(f56531,plain,
k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3)),
inference(cnf_transformation,[],[f56282]) ).
fof(f56548,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f56288]) ).
fof(f56559,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55854]) ).
fof(f56574,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,[],[f55863]) ).
fof(f56575,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55863]) ).
fof(f56577,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,[],[f55863]) ).
fof(f56578,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,[],[f55863]) ).
fof(f56633,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55883]) ).
fof(f56641,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55887]) ).
fof(f56644,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55889]) ).
fof(f56646,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55891]) ).
fof(f56648,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55893]) ).
fof(f56650,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55894]) ).
fof(f56651,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55895]) ).
fof(f56653,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f56310]) ).
fof(f56803,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,[],[f56347]) ).
fof(f56804,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,[],[f56347]) ).
fof(f57238,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f56465]) ).
fof(f57263,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,[],[f56804]) ).
fof(f57264,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,[],[f57263]) ).
fof(f57265,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,[],[f56803]) ).
fof(f57266,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,[],[f57265]) ).
fof(f57316,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,[],[f57264]) ).
fof(f57317,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,[],[f57266]) ).
fof(f57325,definition,
( spl97_1
<=> k2_waybel34(sK2,sK1,sK3) = k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl97_1])],[avatar_definition]) ).
fof(f57327,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3))
| spl97_1 ),
inference(avatar_component_clause,[],[f57325]) ).
fof(f57328,plain,
~ spl97_1,
inference(avatar_split_clause,[],[f56531,f57325]) ).
fof(f57330,definition,
( spl97_2
<=> v1_funct_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl97_2])],[avatar_definition]) ).
fof(f57332,plain,
( v1_funct_1(sK3)
| ~ spl97_2 ),
inference(avatar_component_clause,[],[f57330]) ).
fof(f57333,plain,
spl97_2,
inference(avatar_split_clause,[],[f56530,f57330]) ).
fof(f57335,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3),X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(k3_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1 ),
inference(superposition,[],[f57327,f56464]) ).
fof(f57342,definition,
( spl97_3
<=> v3_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_3])],[avatar_definition]) ).
fof(f57344,plain,
( v3_lattice3(sK2)
| ~ spl97_3 ),
inference(avatar_component_clause,[],[f57342]) ).
fof(f57345,plain,
spl97_3,
inference(avatar_split_clause,[],[f56521,f57342]) ).
fof(f57347,definition,
( spl97_4
<=> v3_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_4])],[avatar_definition]) ).
fof(f57349,plain,
( v3_lattice3(sK1)
| ~ spl97_4 ),
inference(avatar_component_clause,[],[f57347]) ).
fof(f57350,plain,
spl97_4,
inference(avatar_split_clause,[],[f56514,f57347]) ).
fof(f57352,definition,
( spl97_5
<=> v2_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_5])],[avatar_definition]) ).
fof(f57354,plain,
( v2_orders_2(sK2)
| ~ spl97_5 ),
inference(avatar_component_clause,[],[f57352]) ).
fof(f57355,plain,
spl97_5,
inference(avatar_split_clause,[],[f56526,f57352]) ).
fof(f57357,definition,
( spl97_6
<=> v2_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_6])],[avatar_definition]) ).
fof(f57359,plain,
( v2_orders_2(sK1)
| ~ spl97_6 ),
inference(avatar_component_clause,[],[f57357]) ).
fof(f57360,plain,
spl97_6,
inference(avatar_split_clause,[],[f56519,f57357]) ).
fof(f57362,definition,
( spl97_7
<=> v2_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_7])],[avatar_definition]) ).
fof(f57364,plain,
( v2_lattice3(sK2)
| ~ spl97_7 ),
inference(avatar_component_clause,[],[f57362]) ).
fof(f57365,plain,
spl97_7,
inference(avatar_split_clause,[],[f56522,f57362]) ).
fof(f57367,definition,
( spl97_8
<=> v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl97_8])],[avatar_definition]) ).
fof(f57369,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(avatar_component_clause,[],[f57367]) ).
fof(f57370,plain,
spl97_8,
inference(avatar_split_clause,[],[f56529,f57367]) ).
fof(f57374,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56426]) ).
fof(f57375,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56427]) ).
fof(f57376,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56428]) ).
fof(f57377,plain,
( m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56429]) ).
fof(f57378,plain,
( v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56430]) ).
fof(f57382,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56466]) ).
fof(f57410,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56493]) ).
fof(f57424,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56507]) ).
fof(f57430,plain,
( m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56577]) ).
fof(f57431,plain,
( v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_8 ),
inference(resolution,[],[f57369,f56578]) ).
fof(f57608,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_8 ),
inference(resolution,[],[f57369,f57238]) ).
fof(f57686,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_3
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57608,f57344]) ).
fof(f57853,plain,
( v1_funct_2(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)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57431,f57332]) ).
fof(f57854,plain,
( 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)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57430,f57332]) ).
fof(f57860,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57424,f57359]) ).
fof(f57874,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57410,f57332]) ).
fof(f57902,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_3
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57382,f57344]) ).
fof(f57906,plain,
( v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57378,f56513]) ).
fof(f57907,plain,
( m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57377,f56513]) ).
fof(f57908,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57376,f57354]) ).
fof(f57909,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57375,f57354]) ).
fof(f57910,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57374,f57354]) ).
fof(f57947,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_3
| ~ spl97_4
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57686,f57349]) ).
fof(f58114,plain,
( v1_funct_2(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)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57853,f56527]) ).
fof(f58115,plain,
( 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)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57854,f56527]) ).
fof(f58121,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57860,f56518]) ).
fof(f58135,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57874,f56527]) ).
fof(f58163,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_3
| ~ spl97_4
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57902,f57349]) ).
fof(f58167,plain,
( v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57906,f56520]) ).
fof(f58168,plain,
( m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57907,f56520]) ).
fof(f58169,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57908,f56525]) ).
fof(f58170,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57909,f56525]) ).
fof(f58171,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57910,f56525]) ).
fof(f58203,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_3
| ~ spl97_4
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f57947,f56528]) ).
fof(f58352,plain,
( v1_funct_2(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)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58114,f56520]) ).
fof(f58353,plain,
( 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)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58115,f56520]) ).
fof(f58359,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58121,f56517]) ).
fof(f58373,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58135,f56520]) ).
fof(f58401,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_3
| ~ spl97_4
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58163,f56528]) ).
fof(f58405,plain,
( v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58167,f57332]) ).
fof(f58406,plain,
( m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58168,f57332]) ).
fof(f58407,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58169,f56524]) ).
fof(f58408,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58170,f56524]) ).
fof(f58409,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58171,f56524]) ).
fof(f58441,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58203,f57332]) ).
fof(f58584,plain,
( v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| v3_struct_0(sK2)
| v3_struct_0(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58352,f56513]) ).
fof(f58585,plain,
( m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| v3_struct_0(sK2)
| v3_struct_0(sK1)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58353,f56513]) ).
fof(f58591,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58359,f56516]) ).
fof(f58605,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ spl97_2
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58373,f56513]) ).
fof(f58633,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58401,f57332]) ).
fof(f58636,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58407,f56523]) ).
fof(f58637,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58408,f56523]) ).
fof(f58638,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58409,f56523]) ).
fof(f58654,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58441,f56527]) ).
fof(f58759,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58591,f56515]) ).
fof(f58798,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58633,f56527]) ).
fof(f58801,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58636,f57364]) ).
fof(f58802,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58637,f57364]) ).
fof(f58803,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58638,f57364]) ).
fof(f58816,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_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)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58654,f57359]) ).
fof(f58910,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58759,f57349]) ).
fof(f58949,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58798,f57359]) ).
fof(f58952,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58801,f56520]) ).
fof(f58953,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58802,f56520]) ).
fof(f58954,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58803,f56520]) ).
fof(f58966,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58816,f56518]) ).
fof(f59057,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58910,f56513]) ).
fof(f59096,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58949,f56518]) ).
fof(f59099,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58952,f57359]) ).
fof(f59100,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58953,f57359]) ).
fof(f59101,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58954,f57359]) ).
fof(f59113,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f58966,f56517]) ).
fof(f59204,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59057,f57354]) ).
fof(f59243,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59096,f56517]) ).
fof(f59246,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59099,f56518]) ).
fof(f59247,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59100,f56518]) ).
fof(f59248,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59101,f56518]) ).
fof(f59260,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59113,f56516]) ).
fof(f59334,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59204,f56525]) ).
fof(f59373,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59243,f56516]) ).
fof(f59376,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59246,f56517]) ).
fof(f59377,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59247,f56517]) ).
fof(f59378,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59248,f56517]) ).
fof(f59390,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59260,f56515]) ).
fof(f59459,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59334,f56524]) ).
fof(f59498,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59373,f56515]) ).
fof(f59501,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59376,f56516]) ).
fof(f59502,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59377,f56516]) ).
fof(f59503,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59378,f56516]) ).
fof(f59511,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59390,f56513]) ).
fof(f59550,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59459,f56523]) ).
fof(f59589,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59498,f56513]) ).
fof(f59592,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59501,f56515]) ).
fof(f59593,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59502,f56515]) ).
fof(f59594,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59503,f56515]) ).
fof(f59602,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59511,f57354]) ).
fof(f59638,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59550,f57364]) ).
fof(f59677,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59589,f57354]) ).
fof(f59680,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59592,f56513]) ).
fof(f59681,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59593,f56513]) ).
fof(f59682,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59594,f56513]) ).
fof(f59690,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59602,f56525]) ).
fof(f59716,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59638,f57344]) ).
fof(f59755,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59677,f56525]) ).
fof(f59758,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59680,f57332]) ).
fof(f59759,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59681,f57332]) ).
fof(f59760,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59682,f57332]) ).
fof(f59768,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59690,f56524]) ).
fof(f59793,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59716,f56520]) ).
fof(f59832,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59755,f56524]) ).
fof(f59835,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59768,f56523]) ).
fof(f59858,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59793,f57332]) ).
fof(f59893,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59832,f56523]) ).
fof(f59896,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59835,f57364]) ).
fof(f59917,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59858,f56528]) ).
fof(f59945,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59893,f57364]) ).
fof(f59948,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59896,f56520]) ).
fof(f59960,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_demodulation,[],[f59917,f58605]) ).
fof(f59969,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(forward_subsumption_resolution,[],[f59945,f56520]) ).
fof(f59971,definition,
( spl97_9
<=> ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl97_9])],[avatar_definition]) ).
fof(f59972,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,X0,sK3),sK2,sK1)
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl97_9 ),
inference(avatar_component_clause,[],[f59971]) ).
fof(f59973,plain,
( spl97_9
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8 ),
inference(avatar_split_clause,[],[f59969,f57367,f57362,f57357,f57352,f57347,f57342,f57330,f59971]) ).
fof(f59982,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_9 ),
inference(resolution,[],[f59972,f57316]) ).
fof(f59991,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_9 ),
inference(duplicate_literal_removal,[],[f59982]) ).
fof(f60004,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59991,f58584]) ).
fof(f60016,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60004,f58585]) ).
fof(f60028,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60016,f57332]) ).
fof(f60040,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60028,f56575]) ).
fof(f60052,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60040,f57369]) ).
fof(f60063,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60052,f56574]) ).
fof(f60074,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60063,f56527]) ).
fof(f60081,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60074,f57359]) ).
fof(f60088,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60081,f56518]) ).
fof(f60094,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60088,f56517]) ).
fof(f60100,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60094,f56513]) ).
fof(f60105,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60100,f57354]) ).
fof(f60110,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60105,f56525]) ).
fof(f60111,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60110,f56524]) ).
fof(f60112,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| v3_struct_0(sK2) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f60111,f56520]) ).
fof(f60114,definition,
( spl97_10
<=> v2_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_10])],[avatar_definition]) ).
fof(f60116,plain,
( v2_lattice3(sK1)
| ~ spl97_10 ),
inference(avatar_component_clause,[],[f60114]) ).
fof(f60117,plain,
spl97_10,
inference(avatar_split_clause,[],[f56515,f60114]) ).
fof(f60180,plain,
( ! [X0,X1] :
( m2_relset_1(sK3,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(sK3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(sK3,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl97_2 ),
inference(resolution,[],[f57332,f56577]) ).
fof(f60181,plain,
( ! [X0,X1] :
( v1_funct_2(sK3,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(sK3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(sK3,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl97_2 ),
inference(resolution,[],[f57332,f56578]) ).
fof(f60435,definition,
( spl97_11
<=> v4_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_11])],[avatar_definition]) ).
fof(f60437,plain,
( v4_orders_2(sK2)
| ~ spl97_11 ),
inference(avatar_component_clause,[],[f60435]) ).
fof(f60438,plain,
spl97_11,
inference(avatar_split_clause,[],[f56524,f60435]) ).
fof(f60440,definition,
( spl97_12
<=> l1_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_12])],[avatar_definition]) ).
fof(f60442,plain,
( l1_orders_2(sK2)
| ~ spl97_12 ),
inference(avatar_component_clause,[],[f60440]) ).
fof(f60443,plain,
spl97_12,
inference(avatar_split_clause,[],[f56520,f60440]) ).
fof(f60546,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_3 ),
inference(resolution,[],[f57344,f56633]) ).
fof(f60701,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ spl97_3
| ~ spl97_12 ),
inference(forward_subsumption_resolution,[],[f60546,f60442]) ).
fof(f61514,definition,
( spl97_13
<=> v4_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_13])],[avatar_definition]) ).
fof(f61516,plain,
( v4_orders_2(sK1)
| ~ spl97_13 ),
inference(avatar_component_clause,[],[f61514]) ).
fof(f61517,plain,
spl97_13,
inference(avatar_split_clause,[],[f56517,f61514]) ).
fof(f61519,definition,
( spl97_14
<=> l1_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_14])],[avatar_definition]) ).
fof(f61521,plain,
( l1_orders_2(sK1)
| ~ spl97_14 ),
inference(avatar_component_clause,[],[f61519]) ).
fof(f61522,plain,
spl97_14,
inference(avatar_split_clause,[],[f56513,f61519]) ).
fof(f61635,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ spl97_5 ),
inference(resolution,[],[f57354,f56648]) ).
fof(f62238,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ spl97_5
| ~ spl97_12 ),
inference(forward_subsumption_resolution,[],[f61635,f60442]) ).
fof(f62477,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3),X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(k3_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_5
| ~ spl97_12 ),
inference(backward_subsumption_resolution,[],[f57335,f62238]) ).
fof(f62664,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(k3_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_5
| ~ spl97_8
| ~ spl97_12 ),
inference(forward_demodulation,[],[f62477,f58605]) ).
fof(f62760,plain,
( ! [X0] :
( ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v1_funct_1(k3_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_5
| ~ spl97_8
| ~ spl97_12 ),
inference(forward_demodulation,[],[f62664,f58605]) ).
fof(f62816,plain,
( ! [X0] :
( ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_5
| ~ spl97_8
| ~ spl97_12 ),
inference(forward_demodulation,[],[f62760,f58605]) ).
fof(f62837,plain,
( ! [X0] :
( ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_5
| ~ spl97_8
| ~ spl97_12 ),
inference(forward_subsumption_resolution,[],[f62816,f57332]) ).
fof(f62846,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_5
| ~ spl97_8
| ~ spl97_12 ),
inference(forward_demodulation,[],[f62837,f58605]) ).
fof(f62847,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_5
| ~ spl97_8
| ~ spl97_12 ),
inference(forward_demodulation,[],[f62846,f58605]) ).
fof(f62849,definition,
( spl97_15
<=> m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl97_15])],[avatar_definition]) ).
fof(f62851,plain,
( m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_15 ),
inference(avatar_component_clause,[],[f62849]) ).
fof(f62852,plain,
spl97_15,
inference(avatar_split_clause,[],[f56527,f62849]) ).
fof(f63053,plain,
( m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_15 ),
inference(resolution,[],[f62851,f56548]) ).
fof(f63066,plain,
( v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ spl97_2
| ~ spl97_8
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f58405,f63053]) ).
fof(f63067,plain,
( m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ spl97_2
| ~ spl97_8
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f58406,f63053]) ).
fof(f63082,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f59758,f63053]) ).
fof(f63083,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f59759,f63053]) ).
fof(f63084,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f59760,f63053]) ).
fof(f63111,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f59960,f63053]) ).
fof(f63123,plain,
( v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ spl97_2
| ~ spl97_8
| ~ spl97_15 ),
inference(forward_demodulation,[],[f63066,f58605]) ).
fof(f63124,plain,
( m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ spl97_2
| ~ spl97_8
| ~ spl97_15 ),
inference(forward_demodulation,[],[f63067,f58605]) ).
fof(f63125,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f59948,f63082]) ).
fof(f63127,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_12
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f62847,f63111]) ).
fof(f63133,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f63125,f63083]) ).
fof(f63135,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_12
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f63127,f63124]) ).
fof(f63141,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f63133,f63084]) ).
fof(f63143,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_12
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f63135,f63123]) ).
fof(f63165,definition,
( spl97_17
<=> v3_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_17])],[avatar_definition]) ).
fof(f63167,plain,
( v3_orders_2(sK2)
| ~ spl97_17 ),
inference(avatar_component_clause,[],[f63165]) ).
fof(f63168,plain,
spl97_17,
inference(avatar_split_clause,[],[f56525,f63165]) ).
fof(f63291,plain,
( ~ v3_struct_0(sK2)
| ~ v2_lattice3(sK2)
| ~ spl97_12 ),
inference(resolution,[],[f60442,f56559]) ).
fof(f63391,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ spl97_12 ),
inference(resolution,[],[f60442,f56641]) ).
fof(f63394,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ spl97_12 ),
inference(resolution,[],[f60442,f56644]) ).
fof(f63396,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ spl97_12 ),
inference(resolution,[],[f60442,f56646]) ).
fof(f63400,plain,
( u1_struct_0(sK2) = u1_struct_0(k7_lattice3(sK2))
| ~ spl97_12 ),
inference(resolution,[],[f60442,f56650]) ).
fof(f63401,plain,
( l1_orders_2(k7_lattice3(sK2))
| ~ spl97_12 ),
inference(resolution,[],[f60442,f56651]) ).
fof(f63403,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ spl97_12 ),
inference(resolution,[],[f60442,f56653]) ).
fof(f64115,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ spl97_12 ),
inference(forward_subsumption_resolution,[],[f63403,f56523]) ).
fof(f64116,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_12
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f63143,f63401]) ).
fof(f64117,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ spl97_12
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f63396,f63167]) ).
fof(f64118,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ spl97_11
| ~ spl97_12 ),
inference(forward_subsumption_resolution,[],[f63394,f60437]) ).
fof(f64120,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ spl97_7
| ~ spl97_12 ),
inference(forward_subsumption_resolution,[],[f63391,f57364]) ).
fof(f64155,plain,
( ~ v3_struct_0(sK2)
| ~ spl97_7
| ~ spl97_12 ),
inference(forward_subsumption_resolution,[],[f63291,f57364]) ).
fof(f64189,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_12
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f64116,f64115]) ).
fof(f64317,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_12 ),
inference(backward_subsumption_resolution,[],[f60112,f64155]) ).
fof(f64320,plain,
( v3_lattice3(k7_lattice3(sK2))
| ~ spl97_3
| ~ spl97_7
| ~ spl97_12 ),
inference(backward_subsumption_resolution,[],[f60701,f64155]) ).
fof(f64726,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_12
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f64189,f64117]) ).
fof(f64734,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_12 ),
inference(forward_demodulation,[],[f64317,f63400]) ).
fof(f64775,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ 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))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_12
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f64726,f64320]) ).
fof(f64776,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| v3_struct_0(sK1) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_12 ),
inference(forward_demodulation,[],[f64734,f63400]) ).
fof(f64843,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ 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_lattice3(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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_11
| ~ spl97_12
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f64775,f64118]) ).
fof(f64854,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ 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))
| ~ 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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_11
| ~ spl97_12
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f64843,f64120]) ).
fof(f64863,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ 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))
| ~ 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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_11
| ~ spl97_12
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_demodulation,[],[f64854,f63400]) ).
fof(f64872,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_11
| ~ spl97_12
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_demodulation,[],[f64863,f63400]) ).
fof(f64987,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_4 ),
inference(resolution,[],[f57349,f56633]) ).
fof(f65142,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ spl97_4
| ~ spl97_14 ),
inference(forward_subsumption_resolution,[],[f64987,f61521]) ).
fof(f65955,definition,
( spl97_18
<=> v3_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_18])],[avatar_definition]) ).
fof(f65957,plain,
( v3_orders_2(sK1)
| ~ spl97_18 ),
inference(avatar_component_clause,[],[f65955]) ).
fof(f65958,plain,
spl97_18,
inference(avatar_split_clause,[],[f56518,f65955]) ).
fof(f66538,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ l1_orders_2(sK1)
| ~ spl97_6 ),
inference(resolution,[],[f57359,f56648]) ).
fof(f67141,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ spl97_6
| ~ spl97_14 ),
inference(forward_subsumption_resolution,[],[f66538,f61521]) ).
fof(f67380,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ 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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_11
| ~ spl97_12
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17 ),
inference(backward_subsumption_resolution,[],[f64872,f67141]) ).
fof(f67867,plain,
( ~ v3_struct_0(sK1)
| ~ v2_lattice3(sK1)
| ~ spl97_14 ),
inference(resolution,[],[f61521,f56559]) ).
fof(f67967,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(sK1)
| ~ spl97_14 ),
inference(resolution,[],[f61521,f56641]) ).
fof(f67970,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(sK1)
| ~ spl97_14 ),
inference(resolution,[],[f61521,f56644]) ).
fof(f67972,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(sK1)
| ~ spl97_14 ),
inference(resolution,[],[f61521,f56646]) ).
fof(f67976,plain,
( u1_struct_0(sK1) = u1_struct_0(k7_lattice3(sK1))
| ~ spl97_14 ),
inference(resolution,[],[f61521,f56650]) ).
fof(f67977,plain,
( l1_orders_2(k7_lattice3(sK1))
| ~ spl97_14 ),
inference(resolution,[],[f61521,f56651]) ).
fof(f67979,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ v1_lattice3(sK1)
| ~ spl97_14 ),
inference(resolution,[],[f61521,f56653]) ).
fof(f68691,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ spl97_14 ),
inference(forward_subsumption_resolution,[],[f67979,f56516]) ).
fof(f68692,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ 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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_11
| ~ spl97_12
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17 ),
inference(backward_subsumption_resolution,[],[f67380,f67977]) ).
fof(f68693,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ spl97_14
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f67972,f65957]) ).
fof(f68694,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ spl97_13
| ~ spl97_14 ),
inference(forward_subsumption_resolution,[],[f67970,f61516]) ).
fof(f68696,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ spl97_10
| ~ spl97_14 ),
inference(forward_subsumption_resolution,[],[f67967,f60116]) ).
fof(f68731,plain,
( ~ v3_struct_0(sK1)
| ~ spl97_10
| ~ spl97_14 ),
inference(forward_subsumption_resolution,[],[f67867,f60116]) ).
fof(f68765,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ 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)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_11
| ~ spl97_12
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f68692,f68691]) ).
fof(f68895,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_12
| ~ spl97_14 ),
inference(backward_subsumption_resolution,[],[f64776,f68731]) ).
fof(f68898,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ spl97_4
| ~ spl97_10
| ~ spl97_14 ),
inference(backward_subsumption_resolution,[],[f65142,f68731]) ).
fof(f69291,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_11
| ~ spl97_12
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f68765,f68693]) ).
fof(f69350,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_12
| ~ spl97_14 ),
inference(forward_demodulation,[],[f68895,f67976]) ).
fof(f69390,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f69291,f68898]) ).
fof(f69401,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| k2_waybel34(sK2,sK1,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ spl97_2
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_12
| ~ spl97_14 ),
inference(forward_demodulation,[],[f69350,f67976]) ).
fof(f69468,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0)
| ~ v1_lattice3(k7_lattice3(sK1)) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f69390,f68694]) ).
fof(f69481,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f69468,f68696]) ).
fof(f69490,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)))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18 ),
inference(forward_demodulation,[],[f69481,f67976]) ).
fof(f69499,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v1_funct_1(X0) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18 ),
inference(forward_demodulation,[],[f69490,f67976]) ).
fof(f69504,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f69499,f69401]) ).
fof(f75782,definition,
( spl97_52
<=> v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl97_52])],[avatar_definition]) ).
fof(f75784,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ spl97_52 ),
inference(avatar_component_clause,[],[f75782]) ).
fof(f75785,plain,
( spl97_52
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15 ),
inference(avatar_split_clause,[],[f63141,f62849,f57367,f57362,f57357,f57352,f57347,f57342,f57330,f75782]) ).
fof(f77046,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,k2_waybel34(sK2,sK1,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)))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_52 ),
inference(resolution,[],[f75784,f57317]) ).
fof(f77077,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77046,f69504]) ).
fof(f77100,plain,
( ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77077,f60181]) ).
fof(f77123,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77100,f60180]) ).
fof(f77146,plain,
( ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77123,f57332]) ).
fof(f77158,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77146,f63082]) ).
fof(f77170,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77158,f57369]) ).
fof(f77181,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77170,f62851]) ).
fof(f77191,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77181,f63083]) ).
fof(f77201,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77191,f63084]) ).
fof(f77211,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77201,f68731]) ).
fof(f77221,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77211,f57359]) ).
fof(f77231,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77221,f65957]) ).
fof(f77241,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77231,f61516]) ).
fof(f77251,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77241,f61521]) ).
fof(f77261,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77251,f64155]) ).
fof(f77271,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77261,f57354]) ).
fof(f77281,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77271,f63167]) ).
fof(f77282,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK2)
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77281,f60437]) ).
fof(f77283,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77282,f60442]) ).
fof(f77284,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_demodulation,[],[f77283,f67976]) ).
fof(f77285,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_demodulation,[],[f77284,f63400]) ).
fof(f77286,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77285,f63083]) ).
fof(f77287,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_demodulation,[],[f77286,f67976]) ).
fof(f77288,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_demodulation,[],[f77287,f63400]) ).
fof(f77289,plain,
( $false
| spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(forward_subsumption_resolution,[],[f77288,f63084]) ).
fof(f77290,plain,
( spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(avatar_contradiction_clause,[],[f77289]) ).
cnf(s1,plain,
~ spl97_1,
inference(sat_conversion,[],[f57328]) ).
cnf(s2,plain,
spl97_2,
inference(sat_conversion,[],[f57333]) ).
cnf(s3,plain,
spl97_3,
inference(sat_conversion,[],[f57345]) ).
cnf(s4,plain,
spl97_4,
inference(sat_conversion,[],[f57350]) ).
cnf(s5,plain,
spl97_5,
inference(sat_conversion,[],[f57355]) ).
cnf(s6,plain,
spl97_6,
inference(sat_conversion,[],[f57360]) ).
cnf(s7,plain,
spl97_7,
inference(sat_conversion,[],[f57365]) ).
cnf(s8,plain,
spl97_8,
inference(sat_conversion,[],[f57370]) ).
cnf(s9,plain,
( ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| spl97_9 ),
inference(sat_conversion,[],[f59973]) ).
cnf(s10,plain,
spl97_10,
inference(sat_conversion,[],[f60117]) ).
cnf(s11,plain,
spl97_11,
inference(sat_conversion,[],[f60438]) ).
cnf(s12,plain,
spl97_12,
inference(sat_conversion,[],[f60443]) ).
cnf(s13,plain,
spl97_13,
inference(sat_conversion,[],[f61517]) ).
cnf(s14,plain,
spl97_14,
inference(sat_conversion,[],[f61522]) ).
cnf(s15,plain,
spl97_15,
inference(sat_conversion,[],[f62852]) ).
cnf(s17,plain,
spl97_17,
inference(sat_conversion,[],[f63168]) ).
cnf(s18,plain,
spl97_18,
inference(sat_conversion,[],[f65958]) ).
cnf(s52,plain,
( ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_15
| spl97_52 ),
inference(sat_conversion,[],[f75785]) ).
cnf(s59,plain,
( spl97_1
| ~ spl97_2
| ~ spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_11
| ~ spl97_12
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_52 ),
inference(sat_conversion,[],[f77290]) ).
cnf(s69,plain,
spl97_52,
inference(rat,[],[s52,s3,s15,s8,s7,s6,s5,s4,s2]) ).
cnf(s84,plain,
spl97_9,
inference(rat,[],[s9,s3,s8,s7,s6,s5,s4,s2]) ).
cnf(s90,plain,
spl97_1,
inference(rat,[],[s59,s69,s18,s17,s15,s14,s13,s12,s11,s10,s2,s8,s7,s6,s5,s4,s3,s84]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s1,s90]) ).
fof(f77291,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT355+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:56:09 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.22/4.74 % (1538345)Detected formulas, will run a generic FOF schedule.
% 17.22/4.74 % (1538356)dis-21_1_sil=8000:lcm=predicate:random_seed=2556032536:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2981 on theBenchmark for (2981ds/129Mi)
% 17.22/4.74 % (1538353)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2228428239:i=109:sd=1:ins=1:gsp=on:ss=axioms_2981 on theBenchmark for (2981ds/109Mi)
% 17.22/4.74 % (1538354)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3293627916:i=119:av=off:ss=axioms_2981 on theBenchmark for (2981ds/119Mi)
% 17.22/4.74 % (1538351)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=3648093476:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2981 on theBenchmark for (2981ds/134677Mi)
% 17.22/4.74 % (1538352)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=2044135919:i=141695:sd=1:nm=32:gsp=on:ss=included_2981 on theBenchmark for (2981ds/141695Mi)
% 17.22/4.74 % (1538350)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=2172245933:i=141193_2981 on theBenchmark for (2981ds/141193Mi)
% 17.22/4.74 % (1538355)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=308312681:s2a=on:i=139:gtg=position_2981 on theBenchmark for (2981ds/139Mi)
% 17.22/4.74 % (1538356)Instruction limit reached!
% 17.22/4.74 % (1538356)------------------------------
% 17.22/4.74 % (1538356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/4.74 % (1538356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/4.74 % (1538356)CaDiCaL version: 2.1.3
% 17.22/4.74 % (1538356)Termination reason: Instruction limit
% 17.22/4.74 % (1538356)Termination phase: SInE selection
% 17.22/4.74 % (1538356)Time elapsed: 0.059 s
% 17.22/4.74 % (1538356)Peak memory usage: 173 MB
% 17.22/4.74 % (1538356)Instructions burned: 131 (million)
% 17.22/4.74 % (1538353)Instruction limit reached!
% 17.22/4.74 % (1538353)------------------------------
% 17.22/4.74 % (1538353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/4.74 % (1538353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/4.74 % (1538353)CaDiCaL version: 2.1.3
% 17.22/4.74 % (1538353)Termination reason: Instruction limit
% 17.22/4.74 % (1538353)Termination phase: SInE selection
% 17.22/4.74 % (1538353)Time elapsed: 0.081 s
% 17.22/4.74 % (1538353)Peak memory usage: 173 MB
% 17.22/4.74 % (1538353)Instructions burned: 109 (million)
% 17.22/4.74 % (1538355)Instruction limit reached!
% 17.22/4.74 % (1538355)------------------------------
% 17.22/4.74 % (1538355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/4.74 % (1538355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/4.74 % (1538355)CaDiCaL version: 2.1.3
% 17.22/4.74 % (1538355)Termination reason: Instruction limit
% 17.22/4.74 % (1538355)Termination phase: Property scanning
% 17.22/4.74 % (1538355)Time elapsed: 0.064 s
% 17.22/4.74 % (1538355)Peak memory usage: 173 MB
% 17.22/4.74 % (1538355)Instructions burned: 139 (million)
% 17.22/4.74 % (1538354)Instruction limit reached!
% 17.22/4.74 % (1538354)------------------------------
% 17.22/4.74 % (1538354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/4.74 % (1538354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/4.74 % (1538354)CaDiCaL version: 2.1.3
% 17.22/4.74 % (1538354)Termination reason: Instruction limit
% 17.22/4.74 % (1538354)Termination phase: SInE selection
% 17.22/4.74 % (1538354)Time elapsed: 0.089 s
% 17.22/4.74 % (1538354)Peak memory usage: 173 MB
% 17.22/4.74 % (1538354)Instructions burned: 120 (million)
% 17.22/4.74 % (1538364)lrs+10_1_sil=8000:sp=occurrence:random_seed=2453538269:i=285:sd=3:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/285Mi)
% 17.22/4.74 % (1538366)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1476352281:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 17.22/4.74 % (1538365)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3605628101:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/157Mi)
% 17.22/4.74 % (1538367)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=1357893592:s2a=on:i=248:s2at=1.23:gtg=position_2978 on theBenchmark for (2978ds/248Mi)
% 17.22/4.74 % (1538364)Instruction limit reached!
% 30.72/6.61 % (1538364)------------------------------
% 30.72/6.61 % (1538364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/6.61 % (1538364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/6.61 % (1538364)CaDiCaL version: 2.1.3
% 30.72/6.61 % (1538364)Termination reason: Instruction limit
% 30.72/6.61 % (1538364)Termination phase: SInE selection
% 30.72/6.61 % (1538364)Time elapsed: 0.120 s
% 30.72/6.61 % (1538364)Peak memory usage: 174 MB
% 30.72/6.61 % (1538364)Instructions burned: 287 (million)
% 30.72/6.61 % (1538365)Instruction limit reached!
% 30.72/6.61 % (1538365)------------------------------
% 30.72/6.61 % (1538365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/6.61 % (1538365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/6.61 % (1538365)CaDiCaL version: 2.1.3
% 30.72/6.61 % (1538365)Termination reason: Instruction limit
% 30.72/6.61 % (1538365)Termination phase: Property scanning
% 30.72/6.61 % (1538365)Time elapsed: 0.081 s
% 30.72/6.61 % (1538365)Peak memory usage: 174 MB
% 30.72/6.61 % (1538365)Instructions burned: 158 (million)
% 30.72/6.61 % (1538372)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3872214345:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 30.72/6.61 % (1538367)Instruction limit reached!
% 30.72/6.61 % (1538367)------------------------------
% 30.72/6.61 % (1538367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/6.61 % (1538367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/6.61 % (1538367)CaDiCaL version: 2.1.3
% 30.72/6.61 % (1538367)Termination reason: Instruction limit
% 30.72/6.61 % (1538367)Termination phase: Property scanning
% 30.72/6.61 % (1538367)Time elapsed: 0.113 s
% 30.72/6.61 % (1538367)Peak memory usage: 173 MB
% 30.72/6.61 % (1538367)Instructions burned: 248 (million)
% 30.72/6.61 % (1538366)Instruction limit reached!
% 30.72/6.61 % (1538366)------------------------------
% 30.72/6.61 % (1538366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/6.61 % (1538366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/6.61 % (1538366)CaDiCaL version: 2.1.3
% 30.72/6.61 % (1538366)Termination reason: Instruction limit
% 30.72/6.61 % (1538366)Termination phase: SInE selection
% 30.72/6.61 % (1538366)Time elapsed: 0.233 s
% 30.72/6.61 % (1538366)Peak memory usage: 174 MB
% 30.72/6.61 % (1538366)Instructions burned: 325 (million)
% 30.72/6.61 % (1538372)Instruction limit reached!
% 30.72/6.61 % (1538372)------------------------------
% 30.72/6.61 % (1538372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/6.61 % (1538372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/6.61 % (1538372)CaDiCaL version: 2.1.3
% 30.72/6.61 % (1538372)Termination reason: Instruction limit
% 30.72/6.61 % (1538372)Termination phase: SInE selection
% 30.72/6.61 % (1538372)Time elapsed: 0.117 s
% 30.72/6.61 % (1538372)Peak memory usage: 174 MB
% 30.72/6.61 % (1538372)Instructions burned: 297 (million)
% 30.72/6.61 % (1538373)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2175297012:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 30.72/6.61 % (1538375)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2278756958:cts=off:i=113:fsr=off:ss=included:sgt=4_2976 on theBenchmark for (2976ds/113Mi)
% 30.72/6.61 % (1538381)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3285206684:i=127:av=off:fsr=off:sup=off_2975 on theBenchmark for (2975ds/127Mi)
% 30.72/6.61 % (1538381)Instruction limit reached!
% 30.72/6.61 % (1538381)------------------------------
% 30.72/6.61 % (1538381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/6.61 % (1538381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/6.61 % (1538381)CaDiCaL version: 2.1.3
% 30.72/6.61 % (1538381)Termination reason: Instruction limit
% 30.72/6.61 % (1538381)Termination phase: Preprocessing 1
% 30.72/6.61 % (1538381)Time elapsed: 0.067 s
% 30.72/6.61 % (1538381)Peak memory usage: 174 MB
% 30.72/6.61 % (1538381)Instructions burned: 128 (million)
% 30.72/6.61 % (1538375)Instruction limit reached!
% 30.72/6.61 % (1538375)------------------------------
% 30.72/6.61 % (1538375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.72/6.61 % (1538375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.72/6.61 % (1538375)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538375)Termination reason: Instruction limit
% 19.05/8.98 % (1538375)Termination phase: SInE selection
% 19.05/8.98 % (1538375)Time elapsed: 0.123 s
% 19.05/8.98 % (1538375)Peak memory usage: 173 MB
% 19.05/8.98 % (1538375)Instructions burned: 113 (million)
% 19.05/8.98 % (1538384)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=937351174:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2975 on theBenchmark for (2975ds/114Mi)
% 19.05/8.98 % (1538384)Instruction limit reached!
% 19.05/8.98 % (1538384)------------------------------
% 19.05/8.98 % (1538384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538384)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538384)Termination reason: Instruction limit
% 19.05/8.98 % (1538384)Termination phase: Property scanning
% 19.05/8.98 % (1538384)Time elapsed: 0.100 s
% 19.05/8.98 % (1538384)Peak memory usage: 173 MB
% 19.05/8.98 % (1538384)Instructions burned: 114 (million)
% 19.05/8.98 % (1538404)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1285625117:i=437:sd=1:aac=none:ss=included_2973 on theBenchmark for (2973ds/437Mi)
% 19.05/8.98 % (1538402)lrs+10_1_sil=8000:sp=occurrence:random_seed=1544905255:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2973 on theBenchmark for (2973ds/907Mi)
% 19.05/8.98 % (1538406)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1525041347:i=5202:ss=axioms:sgt=16_2972 on theBenchmark for (2972ds/5202Mi)
% 19.05/8.98 % (1538404)Instruction limit reached!
% 19.05/8.98 % (1538404)------------------------------
% 19.05/8.98 % (1538404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538404)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538404)Termination reason: Instruction limit
% 19.05/8.98 % (1538404)Termination phase: Naming
% 19.05/8.98 % (1538404)Time elapsed: 0.241 s
% 19.05/8.98 % (1538404)Peak memory usage: 177 MB
% 19.05/8.98 % (1538404)Instructions burned: 437 (million)
% 19.05/8.98 % (1538414)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4138324858:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2969 on theBenchmark for (2969ds/134Mi)
% 19.05/8.98 % (1538414)Instruction limit reached!
% 19.05/8.98 % (1538414)------------------------------
% 19.05/8.98 % (1538414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538414)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538414)Termination reason: Instruction limit
% 19.05/8.98 % (1538414)Termination phase: SInE selection
% 19.05/8.98 % (1538414)Time elapsed: 0.088 s
% 19.05/8.98 % (1538414)Peak memory usage: 173 MB
% 19.05/8.98 % (1538414)Instructions burned: 135 (million)
% 19.05/8.98 % (1538416)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3543565989:st=8:i=592:sd=3:ep=RST:ss=axioms_2966 on theBenchmark for (2966ds/592Mi)
% 19.05/8.98 % (1538416)Instruction limit reached!
% 19.05/8.98 % (1538416)------------------------------
% 19.05/8.98 % (1538416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538416)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538416)Termination reason: Instruction limit
% 19.05/8.98 % (1538416)Termination phase: SInE selection
% 19.05/8.98 % (1538416)Time elapsed: 0.335 s
% 19.05/8.98 % (1538416)Peak memory usage: 175 MB
% 19.05/8.98 % (1538416)Instructions burned: 593 (million)
% 19.05/8.98 % (1538402)Instruction limit reached!
% 19.05/8.98 % (1538402)------------------------------
% 19.05/8.98 % (1538402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538402)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538402)Termination reason: Instruction limit
% 19.05/8.98 % (1538402)Termination phase: Naming
% 19.05/8.98 % (1538402)Time elapsed: 1.034 s
% 19.05/8.98 % (1538402)Peak memory usage: 192 MB
% 19.05/8.98 % (1538402)Instructions burned: 907 (million)
% 19.05/8.98 % (1538424)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4023418474:st=3:i=13193:sd=3:ss=axioms_2961 on theBenchmark for (2961ds/13193Mi)
% 19.05/8.98 % (1538425)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=2809008974:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2961 on theBenchmark for (2961ds/125Mi)
% 19.05/8.98 % (1538425)Instruction limit reached!
% 19.05/8.98 % (1538425)------------------------------
% 19.05/8.98 % (1538425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538425)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538425)Termination reason: Instruction limit
% 19.05/8.98 % (1538425)Termination phase: Property scanning
% 19.05/8.98 % (1538425)Time elapsed: 0.081 s
% 19.05/8.98 % (1538425)Peak memory usage: 173 MB
% 19.05/8.98 % (1538425)Instructions burned: 126 (million)
% 19.05/8.98 % (1538430)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2233875275:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 19.05/8.98 % (1538430)Instruction limit reached!
% 19.05/8.98 % (1538430)------------------------------
% 19.05/8.98 % (1538430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538430)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538430)Termination reason: Instruction limit
% 19.05/8.98 % (1538430)Termination phase: Property scanning
% 19.05/8.98 % (1538430)Time elapsed: 0.120 s
% 19.05/8.98 % (1538430)Peak memory usage: 173 MB
% 19.05/8.98 % (1538430)Instructions burned: 135 (million)
% 19.05/8.98 % (1538434)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=295902900:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2954 on theBenchmark for (2954ds/141Mi)
% 19.05/8.98 % (1538434)Instruction limit reached!
% 19.05/8.98 % (1538434)------------------------------
% 19.05/8.98 % (1538434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538434)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538434)Termination reason: Instruction limit
% 19.05/8.98 % (1538434)Termination phase: SInE selection
% 19.05/8.98 % (1538434)Time elapsed: 0.162 s
% 19.05/8.98 % (1538434)Peak memory usage: 173 MB
% 19.05/8.98 % (1538434)Instructions burned: 141 (million)
% 19.05/8.98 % (1538440)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=864131014:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2951 on theBenchmark for (2951ds/431Mi)
% 19.05/8.98 % (1538373)Instruction limit reached!
% 19.05/8.98 % (1538373)------------------------------
% 19.05/8.98 % (1538373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538373)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538373)Termination reason: Instruction limit
% 19.05/8.98 % (1538373)Termination phase: Preprocessing 3
% 19.05/8.98 % (1538373)Time elapsed: 2.666 s
% 19.05/8.98 % (1538373)Peak memory usage: 276 MB
% 19.05/8.98 % (1538373)Instructions burned: 2350 (million)
% 19.05/8.98 % (1538442)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=1491451581:i=6060:aac=none:ins=25_2948 on theBenchmark for (2948ds/6060Mi)
% 19.05/8.98 % (1538440)Instruction limit reached!
% 19.05/8.98 % (1538440)------------------------------
% 19.05/8.98 % (1538440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538440)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538440)Termination reason: Instruction limit
% 19.05/8.98 % (1538440)Termination phase: Unused predicate definition removal
% 19.05/8.98 % (1538440)Time elapsed: 0.508 s
% 19.05/8.98 % (1538440)Peak memory usage: 177 MB
% 19.05/8.98 % (1538440)Instructions burned: 431 (million)
% 19.05/8.98 % (1538446)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2428822560:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2943 on theBenchmark for (2943ds/150Mi)
% 19.05/8.98 % (1538446)Instruction limit reached!
% 19.05/8.98 % (1538446)------------------------------
% 19.05/8.98 % (1538446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538446)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538446)Termination reason: Instruction limit
% 19.05/8.98 % (1538446)Termination phase: SInE selection
% 19.05/8.98 % (1538446)Time elapsed: 0.162 s
% 19.05/8.98 % (1538446)Peak memory usage: 173 MB
% 19.05/8.98 % (1538446)Instructions burned: 150 (million)
% 19.05/8.98 % (1538450)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=955654877:i=14155:bd=all_2940 on theBenchmark for (2940ds/14155Mi)
% 19.05/8.98 % (1538352)First to succeed.
% 19.05/8.98 % (1538352)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1538345"
% 19.05/8.98 % (1538406)Instruction limit reached!
% 19.05/8.98 % (1538406)------------------------------
% 19.05/8.98 % (1538406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/8.98 % (1538406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/8.98 % (1538406)CaDiCaL version: 2.1.3
% 19.05/8.98 % (1538406)Termination reason: Instruction limit
% 19.05/8.98 % (1538406)Termination phase: Saturation
% 19.05/8.98 % (1538406)Time elapsed: 5.264 s
% 19.05/8.98 % (1538406)Peak memory usage: 403 MB
% 19.05/8.98 % (1538406)Instructions burned: 5202 (million)
% 19.05/8.98 % (1538352)Refutation found. Thanks to Tanya!
% 19.05/8.98 % SZS status Theorem for theBenchmark
% 19.05/8.98 % SZS output start Proof for theBenchmark
% See solution above
% 48.05/9.29 % (1538352)------------------------------
% 48.05/9.29 % (1538352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.05/9.29 % (1538352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.05/9.29 % (1538352)CaDiCaL version: 2.1.3
% 48.05/9.29 % (1538352)Termination reason: Refutation
% 48.05/9.29 % (1538352)Time elapsed: 5.810 s
% 48.05/9.29 % (1538352)Peak memory usage: 253 MB
% 48.05/9.29 % (1538352)Instructions burned: 6451 (million)
% 48.05/9.29 % (1538352)------------------------------
% 48.05/9.29 % (1538352)------------------------------
% 48.05/9.29 % (1538345)Success in time 8.35 s
% 48.05/9.29 % Vampire exiting
%------------------------------------------------------------------------------