%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT354+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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:14 AM UTC 2026
% Result : Theorem 13.70s 6.25s
% Output : Refutation 30.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 38
% Syntax : Number of formulae : 442 ( 57 unt; 19 def)
% Number of atoms : 4862 ( 123 equ)
% Maximal formula atoms : 40 ( 11 avg)
% Number of connectives : 8317 (3897 ~;3995 |; 346 &)
% ( 31 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 20 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 316 ( 0 sgn 310 !; 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(f55674,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_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(f55696,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_waybel34) ).
fof(f55698,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(X0,X1,X2) = k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel34) ).
fof(f55699,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(X0,X1,X2) = k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f55698]) ).
fof(f55795,plain,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
inference(pure_predicate_removal,[],[f55696]) ).
fof(f55800,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f55674]) ).
fof(f55801,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f55800]) ).
fof(f55804,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(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(flattening,[],[f55804]) ).
fof(f55816,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(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(flattening,[],[f55816]) ).
fof(f55818,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(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(flattening,[],[f55818]) ).
fof(f55832,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(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(flattening,[],[f55832]) ).
fof(f55834,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f55795]) ).
fof(f55835,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f55834]) ).
fof(f55838,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(X0,X1,X2) != k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f55699]) ).
fof(f55839,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(X0,X1,X2) != k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f55838]) ).
fof(f55850,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28605]) ).
fof(f55851,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55850]) ).
fof(f55859,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(f55860,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,[],[f55859]) ).
fof(f55879,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(f55880,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,[],[f55879]) ).
fof(f55883,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(f55884,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,[],[f55883]) ).
fof(f55885,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(f55886,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55885]) ).
fof(f55887,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(f55888,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55887]) ).
fof(f55889,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(f55890,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f55889]) ).
fof(f55891,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f41187]) ).
fof(f55892,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28681]) ).
fof(f55893,plain,
! [X0] :
( ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f28630]) ).
fof(f55977,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(f55978,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,[],[f55977]) ).
fof(f56277,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,[],[f55817]) ).
fof(f56278,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,[],[f55819]) ).
fof(f56279,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3))
& v1_funct_1(sK3)
& v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v17_waybel_0(sK3,sK1,sK2)
& m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v1_lattice3(sK2)
& v2_lattice3(sK2)
& v3_lattice3(sK2)
& l1_orders_2(sK2)
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& v1_lattice3(sK1)
& v2_lattice3(sK1)
& v3_lattice3(sK1)
& l1_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f55839]) ).
fof(f56285,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(f56307,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,[],[f55893]) ).
fof(f56344,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,[],[f55978]) ).
fof(f56420,plain,
! [X2,X0,X1] :
( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f55801]) ).
fof(f56421,plain,
! [X2,X0,X1] :
( v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f55801]) ).
fof(f56422,plain,
! [X2,X0,X1] :
( v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f55801]) ).
fof(f56426,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,[],[f55805]) ).
fof(f56427,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,[],[f55805]) ).
fof(f56460,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f56277]) ).
fof(f56461,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,[],[f56277]) ).
fof(f56463,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,[],[f56278]) ).
fof(f56490,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,[],[f55833]) ).
fof(f56495,plain,
! [X2,X0,X1] :
( v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f55835]) ).
fof(f56509,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f56279]) ).
fof(f56510,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f56279]) ).
fof(f56511,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f56279]) ).
fof(f56512,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f56279]) ).
fof(f56513,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f56279]) ).
fof(f56514,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f56279]) ).
fof(f56515,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f56279]) ).
fof(f56516,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f56279]) ).
fof(f56517,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f56279]) ).
fof(f56518,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f56279]) ).
fof(f56519,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f56279]) ).
fof(f56520,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f56279]) ).
fof(f56521,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f56279]) ).
fof(f56522,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f56279]) ).
fof(f56523,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f56279]) ).
fof(f56524,plain,
v17_waybel_0(sK3,sK1,sK2),
inference(cnf_transformation,[],[f56279]) ).
fof(f56525,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f56279]) ).
fof(f56526,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f56279]) ).
fof(f56527,plain,
k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3)),
inference(cnf_transformation,[],[f56279]) ).
fof(f56544,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f56285]) ).
fof(f56555,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55851]) ).
fof(f56570,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,[],[f55860]) ).
fof(f56571,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,[],[f55860]) ).
fof(f56573,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,[],[f55860]) ).
fof(f56574,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,[],[f55860]) ).
fof(f56629,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55880]) ).
fof(f56637,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55884]) ).
fof(f56640,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55886]) ).
fof(f56642,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55888]) ).
fof(f56644,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55890]) ).
fof(f56646,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55891]) ).
fof(f56647,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f55892]) ).
fof(f56649,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f56307]) ).
fof(f56799,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,[],[f56344]) ).
fof(f56800,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,[],[f56344]) ).
fof(f57233,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f56460]) ).
fof(f57259,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,[],[f56800]) ).
fof(f57260,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,[],[f57259]) ).
fof(f57261,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,[],[f56799]) ).
fof(f57262,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,[],[f57261]) ).
fof(f57312,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,[],[f57260]) ).
fof(f57313,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,[],[f57262]) ).
fof(f57321,definition,
( spl97_1
<=> k1_waybel34(sK1,sK2,sK3) = k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl97_1])],[avatar_definition]) ).
fof(f57323,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3))
| spl97_1 ),
inference(avatar_component_clause,[],[f57321]) ).
fof(f57324,plain,
~ spl97_1,
inference(avatar_split_clause,[],[f56527,f57321]) ).
fof(f57325,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl97_1 ),
inference(superposition,[],[f57323,f56490]) ).
fof(f57327,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl97_1 ),
inference(forward_subsumption_resolution,[],[f57325,f56526]) ).
fof(f57328,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl97_1 ),
inference(forward_subsumption_resolution,[],[f57327,f56525]) ).
fof(f57329,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl97_1 ),
inference(forward_subsumption_resolution,[],[f57328,f56523]) ).
fof(f57330,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ l1_orders_2(sK1)
| spl97_1 ),
inference(forward_subsumption_resolution,[],[f57329,f56516]) ).
fof(f57331,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| spl97_1 ),
inference(forward_subsumption_resolution,[],[f57330,f56509]) ).
fof(f57333,definition,
( spl97_2
<=> v1_funct_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl97_2])],[avatar_definition]) ).
fof(f57335,plain,
( v1_funct_1(sK3)
| ~ spl97_2 ),
inference(avatar_component_clause,[],[f57333]) ).
fof(f57336,plain,
spl97_2,
inference(avatar_split_clause,[],[f56526,f57333]) ).
fof(f57338,definition,
( spl97_3
<=> k1_waybel34(sK1,sK2,sK3) = k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3) ),
introduced(definition,[new_symbols(definition,[spl97_3])],[avatar_definition]) ).
fof(f57340,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| spl97_3 ),
inference(avatar_component_clause,[],[f57338]) ).
fof(f57341,plain,
( ~ spl97_3
| spl97_1 ),
inference(avatar_split_clause,[],[f57331,f57321,f57338]) ).
fof(f57342,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| spl97_3 ),
inference(superposition,[],[f57340,f56463]) ).
fof(f57343,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3 ),
inference(forward_subsumption_resolution,[],[f57342,f57335]) ).
fof(f57345,definition,
( spl97_4
<=> v3_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_4])],[avatar_definition]) ).
fof(f57347,plain,
( v3_lattice3(sK2)
| ~ spl97_4 ),
inference(avatar_component_clause,[],[f57345]) ).
fof(f57348,plain,
spl97_4,
inference(avatar_split_clause,[],[f56517,f57345]) ).
fof(f57350,definition,
( spl97_5
<=> v3_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_5])],[avatar_definition]) ).
fof(f57352,plain,
( v3_lattice3(sK1)
| ~ spl97_5 ),
inference(avatar_component_clause,[],[f57350]) ).
fof(f57353,plain,
spl97_5,
inference(avatar_split_clause,[],[f56510,f57350]) ).
fof(f57355,definition,
( spl97_6
<=> v2_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_6])],[avatar_definition]) ).
fof(f57357,plain,
( v2_orders_2(sK2)
| ~ spl97_6 ),
inference(avatar_component_clause,[],[f57355]) ).
fof(f57358,plain,
spl97_6,
inference(avatar_split_clause,[],[f56522,f57355]) ).
fof(f57360,definition,
( spl97_7
<=> v2_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_7])],[avatar_definition]) ).
fof(f57362,plain,
( v2_orders_2(sK1)
| ~ spl97_7 ),
inference(avatar_component_clause,[],[f57360]) ).
fof(f57363,plain,
spl97_7,
inference(avatar_split_clause,[],[f56515,f57360]) ).
fof(f57365,definition,
( spl97_8
<=> v2_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_8])],[avatar_definition]) ).
fof(f57367,plain,
( v2_lattice3(sK2)
| ~ spl97_8 ),
inference(avatar_component_clause,[],[f57365]) ).
fof(f57368,plain,
spl97_8,
inference(avatar_split_clause,[],[f56518,f57365]) ).
fof(f57370,definition,
( spl97_9
<=> v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl97_9])],[avatar_definition]) ).
fof(f57372,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_9 ),
inference(avatar_component_clause,[],[f57370]) ).
fof(f57373,plain,
spl97_9,
inference(avatar_split_clause,[],[f56525,f57370]) ).
fof(f57374,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_9 ),
inference(resolution,[],[f57372,f56420]) ).
fof(f57375,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_9 ),
inference(resolution,[],[f57372,f56421]) ).
fof(f57376,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_9 ),
inference(resolution,[],[f57372,f56422]) ).
fof(f57380,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_9 ),
inference(resolution,[],[f57372,f56426]) ).
fof(f57381,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_9 ),
inference(resolution,[],[f57372,f56427]) ).
fof(f57383,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v3_lattice3(sK2)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_9 ),
inference(resolution,[],[f57372,f56461]) ).
fof(f57413,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_9 ),
inference(resolution,[],[f57372,f56490]) ).
fof(f57418,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_9 ),
inference(resolution,[],[f57372,f56495]) ).
fof(f57432,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_9 ),
inference(resolution,[],[f57372,f56573]) ).
fof(f57433,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_9 ),
inference(resolution,[],[f57372,f56574]) ).
fof(f57609,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v3_lattice3(sK2)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_9 ),
inference(resolution,[],[f57372,f57233]) ).
fof(f57689,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57609,f57352]) ).
fof(f57855,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_9 ),
inference(forward_subsumption_resolution,[],[f57433,f57335]) ).
fof(f57856,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_9 ),
inference(forward_subsumption_resolution,[],[f57432,f57335]) ).
fof(f57870,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57418,f57362]) ).
fof(f57875,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_9 ),
inference(forward_subsumption_resolution,[],[f57413,f57335]) ).
fof(f57905,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57383,f57352]) ).
fof(f57907,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_9 ),
inference(forward_subsumption_resolution,[],[f57381,f56509]) ).
fof(f57908,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_9 ),
inference(forward_subsumption_resolution,[],[f57380,f56509]) ).
fof(f57912,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57376,f57362]) ).
fof(f57913,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57375,f57362]) ).
fof(f57914,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57374,f57362]) ).
fof(f57949,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_4
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57689,f57347]) ).
fof(f58115,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_9 ),
inference(forward_subsumption_resolution,[],[f57855,f56523]) ).
fof(f58116,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_9 ),
inference(forward_subsumption_resolution,[],[f57856,f56523]) ).
fof(f58130,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57870,f56514]) ).
fof(f58135,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57875,f56523]) ).
fof(f58165,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_4
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57905,f57347]) ).
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_9 ),
inference(forward_subsumption_resolution,[],[f57907,f56516]) ).
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_9 ),
inference(forward_subsumption_resolution,[],[f57908,f56516]) ).
fof(f58172,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57912,f56514]) ).
fof(f58173,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57913,f56514]) ).
fof(f58174,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57914,f56514]) ).
fof(f58204,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_4
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f57949,f56524]) ).
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_9 ),
inference(forward_subsumption_resolution,[],[f58115,f56516]) ).
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_9 ),
inference(forward_subsumption_resolution,[],[f58116,f56516]) ).
fof(f58367,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58130,f56513]) ).
fof(f58372,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58135,f56516]) ).
fof(f58402,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_4
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58165,f56524]) ).
fof(f58404,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_9 ),
inference(forward_subsumption_resolution,[],[f58167,f57335]) ).
fof(f58405,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_9 ),
inference(forward_subsumption_resolution,[],[f58168,f57335]) ).
fof(f58409,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58172,f56513]) ).
fof(f58410,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58173,f56513]) ).
fof(f58411,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58174,f56513]) ).
fof(f58441,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58204,f57335]) ).
fof(f58583,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_9 ),
inference(forward_subsumption_resolution,[],[f58352,f56509]) ).
fof(f58584,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_9 ),
inference(forward_subsumption_resolution,[],[f58353,f56509]) ).
fof(f58598,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58367,f56512]) ).
fof(f58603,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ spl97_2
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58372,f56509]) ).
fof(f58633,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58402,f57335]) ).
fof(f58637,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58409,f56512]) ).
fof(f58638,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58410,f56512]) ).
fof(f58639,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58411,f56512]) ).
fof(f58653,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58441,f56523]) ).
fof(f58761,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58598,f56511]) ).
fof(f58795,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58633,f56523]) ).
fof(f58799,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58637,f56511]) ).
fof(f58800,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58638,f56511]) ).
fof(f58801,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58639,f56511]) ).
fof(f58812,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_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)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58653,f57357]) ).
fof(f58911,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58761,f57352]) ).
fof(f58945,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58795,f57357]) ).
fof(f58949,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58799,f56509]) ).
fof(f58950,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58800,f56509]) ).
fof(f58951,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58801,f56509]) ).
fof(f58961,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58812,f56521]) ).
fof(f59057,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58911,f56509]) ).
fof(f59091,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58945,f56521]) ).
fof(f59095,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58949,f57357]) ).
fof(f59096,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58950,f57357]) ).
fof(f59097,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58951,f57357]) ).
fof(f59107,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_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)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f58961,f56520]) ).
fof(f59200,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59057,f57357]) ).
fof(f59234,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59091,f56520]) ).
fof(f59238,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59095,f56521]) ).
fof(f59239,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59096,f56521]) ).
fof(f59240,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59097,f56521]) ).
fof(f59250,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59107,f56519]) ).
fof(f59333,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59200,f56521]) ).
fof(f59367,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59234,f56519]) ).
fof(f59371,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59238,f56520]) ).
fof(f59372,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59239,f56520]) ).
fof(f59373,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59240,f56520]) ).
fof(f59383,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59250,f57367]) ).
fof(f59457,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59333,f56520]) ).
fof(f59491,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59367,f57367]) ).
fof(f59495,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59371,f56519]) ).
fof(f59496,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59372,f56519]) ).
fof(f59497,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59373,f56519]) ).
fof(f59503,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59383,f56516]) ).
fof(f59547,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59457,f56519]) ).
fof(f59581,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59491,f56516]) ).
fof(f59585,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59495,f57367]) ).
fof(f59586,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59496,f57367]) ).
fof(f59587,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59497,f57367]) ).
fof(f59593,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59503,f57362]) ).
fof(f59634,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59547,f57367]) ).
fof(f59668,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59581,f57362]) ).
fof(f59672,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59585,f56516]) ).
fof(f59673,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,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_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59586,f56516]) ).
fof(f59674,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,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_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59587,f56516]) ).
fof(f59680,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59593,f56514]) ).
fof(f59711,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v17_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
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59634,f57347]) ).
fof(f59745,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59668,f56514]) ).
fof(f59749,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59672,f57335]) ).
fof(f59750,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59673,f57335]) ).
fof(f59751,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59674,f57335]) ).
fof(f59757,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59680,f56513]) ).
fof(f59788,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v17_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
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59711,f56516]) ).
fof(f59822,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59745,f56513]) ).
fof(f59824,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59757,f56512]) ).
fof(f59853,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59788,f57335]) ).
fof(f59883,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59822,f56512]) ).
fof(f59885,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59824,f56511]) ).
fof(f59911,plain,
( v18_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59853,f56524]) ).
fof(f59934,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59883,f56511]) ).
fof(f59935,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59885,f56509]) ).
fof(f59945,plain,
( v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_demodulation,[],[f59911,f58603]) ).
fof(f59954,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(forward_subsumption_resolution,[],[f59934,f56509]) ).
fof(f59956,definition,
( spl97_10
<=> ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl97_10])],[avatar_definition]) ).
fof(f59957,plain,
( ! [X0] :
( ~ v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,X0),sK1,sK2)
| k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1)) )
| ~ spl97_10 ),
inference(avatar_component_clause,[],[f59956]) ).
fof(f59958,plain,
( spl97_10
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9 ),
inference(avatar_split_clause,[],[f59954,f57370,f57365,f57360,f57355,f57350,f57345,f57333,f59956]) ).
fof(f59967,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_10 ),
inference(resolution,[],[f59957,f57312]) ).
fof(f59976,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_10 ),
inference(duplicate_literal_removal,[],[f59967]) ).
fof(f59989,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f59976,f58583]) ).
fof(f60001,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f59989,f58584]) ).
fof(f60013,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60001,f57335]) ).
fof(f60025,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60013,f56571]) ).
fof(f60037,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,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(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60025,f57372]) ).
fof(f60048,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60037,f56570]) ).
fof(f60059,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60048,f56523]) ).
fof(f60066,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60059,f57357]) ).
fof(f60073,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60066,f56521]) ).
fof(f60079,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60073,f56520]) ).
fof(f60085,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60079,f56516]) ).
fof(f60090,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| v3_struct_0(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60085,f57362]) ).
fof(f60095,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| v3_struct_0(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60090,f56514]) ).
fof(f60096,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60095,f56513]) ).
fof(f60097,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| v3_struct_0(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_9
| ~ spl97_10 ),
inference(forward_subsumption_resolution,[],[f60096,f56509]) ).
fof(f60112,definition,
( spl97_13
<=> v2_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_13])],[avatar_definition]) ).
fof(f60114,plain,
( v2_lattice3(sK1)
| ~ spl97_13 ),
inference(avatar_component_clause,[],[f60112]) ).
fof(f60115,plain,
spl97_13,
inference(avatar_split_clause,[],[f56511,f60112]) ).
fof(f60177,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,[],[f57335,f56573]) ).
fof(f60178,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,[],[f57335,f56574]) ).
fof(f60432,definition,
( spl97_14
<=> v4_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_14])],[avatar_definition]) ).
fof(f60434,plain,
( v4_orders_2(sK2)
| ~ spl97_14 ),
inference(avatar_component_clause,[],[f60432]) ).
fof(f60435,plain,
spl97_14,
inference(avatar_split_clause,[],[f56520,f60432]) ).
fof(f60437,definition,
( spl97_15
<=> l1_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_15])],[avatar_definition]) ).
fof(f60439,plain,
( l1_orders_2(sK2)
| ~ spl97_15 ),
inference(avatar_component_clause,[],[f60437]) ).
fof(f60440,plain,
spl97_15,
inference(avatar_split_clause,[],[f56516,f60437]) ).
fof(f60541,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ l1_orders_2(sK2)
| ~ spl97_4 ),
inference(resolution,[],[f57347,f56629]) ).
fof(f60696,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ spl97_4
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f60541,f60439]) ).
fof(f61497,definition,
( spl97_16
<=> v4_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_16])],[avatar_definition]) ).
fof(f61499,plain,
( v4_orders_2(sK1)
| ~ spl97_16 ),
inference(avatar_component_clause,[],[f61497]) ).
fof(f61500,plain,
spl97_16,
inference(avatar_split_clause,[],[f56513,f61497]) ).
fof(f61502,definition,
( spl97_17
<=> l1_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_17])],[avatar_definition]) ).
fof(f61504,plain,
( l1_orders_2(sK1)
| ~ spl97_17 ),
inference(avatar_component_clause,[],[f61502]) ).
fof(f61505,plain,
spl97_17,
inference(avatar_split_clause,[],[f56509,f61502]) ).
fof(f61616,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ spl97_6 ),
inference(resolution,[],[f57357,f56644]) ).
fof(f62219,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ spl97_6
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f61616,f60439]) ).
fof(f62458,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ 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)) )
| ~ spl97_2
| spl97_3
| ~ spl97_6
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f57343,f62219]) ).
fof(f62831,definition,
( spl97_18
<=> m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl97_18])],[avatar_definition]) ).
fof(f62833,plain,
( m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_18 ),
inference(avatar_component_clause,[],[f62831]) ).
fof(f62834,plain,
spl97_18,
inference(avatar_split_clause,[],[f56523,f62831]) ).
fof(f63034,plain,
( m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl97_18 ),
inference(resolution,[],[f62833,f56544]) ).
fof(f63047,plain,
( v1_funct_2(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ spl97_2
| ~ spl97_9
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f58404,f63034]) ).
fof(f63048,plain,
( m2_relset_1(k3_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ spl97_2
| ~ spl97_9
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f58405,f63034]) ).
fof(f63068,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f59749,f63034]) ).
fof(f63069,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f59750,f63034]) ).
fof(f63070,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f59751,f63034]) ).
fof(f63094,plain,
( v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f59945,f63034]) ).
fof(f63107,plain,
( v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ spl97_2
| ~ spl97_9
| ~ spl97_18 ),
inference(forward_demodulation,[],[f63047,f58603]) ).
fof(f63108,plain,
( m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ spl97_2
| ~ spl97_9
| ~ spl97_18 ),
inference(forward_demodulation,[],[f63048,f58603]) ).
fof(f63112,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f59935,f63068]) ).
fof(f63113,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_15
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f62458,f63094]) ).
fof(f63120,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f63112,f63069]) ).
fof(f63121,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_15
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f63113,f63107]) ).
fof(f63128,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f63120,f63070]) ).
fof(f63129,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_15
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f63121,f63108]) ).
fof(f63170,definition,
( spl97_21
<=> v3_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl97_21])],[avatar_definition]) ).
fof(f63172,plain,
( v3_orders_2(sK2)
| ~ spl97_21 ),
inference(avatar_component_clause,[],[f63170]) ).
fof(f63173,plain,
spl97_21,
inference(avatar_split_clause,[],[f56521,f63170]) ).
fof(f63274,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_5 ),
inference(resolution,[],[f57352,f56629]) ).
fof(f63429,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ spl97_5
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f63274,f61504]) ).
fof(f64349,plain,
( ~ v3_struct_0(sK2)
| ~ v2_lattice3(sK2)
| ~ spl97_15 ),
inference(resolution,[],[f60439,f56555]) ).
fof(f64449,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ spl97_15 ),
inference(resolution,[],[f60439,f56637]) ).
fof(f64452,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ spl97_15 ),
inference(resolution,[],[f60439,f56640]) ).
fof(f64454,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ spl97_15 ),
inference(resolution,[],[f60439,f56642]) ).
fof(f64458,plain,
( u1_struct_0(sK2) = u1_struct_0(k7_lattice3(sK2))
| ~ spl97_15 ),
inference(resolution,[],[f60439,f56646]) ).
fof(f64459,plain,
( l1_orders_2(k7_lattice3(sK2))
| ~ spl97_15 ),
inference(resolution,[],[f60439,f56647]) ).
fof(f64461,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ spl97_15 ),
inference(resolution,[],[f60439,f56649]) ).
fof(f65173,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f64461,f56519]) ).
fof(f65178,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_15
| ~ spl97_18 ),
inference(backward_subsumption_resolution,[],[f63129,f64459]) ).
fof(f65179,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ spl97_15
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f64454,f63172]) ).
fof(f65180,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ spl97_14
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f64452,f60434]) ).
fof(f65182,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ spl97_8
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f64449,f57367]) ).
fof(f65217,plain,
( ~ v3_struct_0(sK2)
| ~ spl97_8
| ~ spl97_15 ),
inference(forward_subsumption_resolution,[],[f64349,f57367]) ).
fof(f65253,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_15
| ~ spl97_18 ),
inference(forward_subsumption_resolution,[],[f65178,f65173]) ).
fof(f65380,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f60097,f65217]) ).
fof(f65385,plain,
( v3_lattice3(k7_lattice3(sK2))
| ~ spl97_4
| ~ spl97_8
| ~ spl97_15 ),
inference(backward_subsumption_resolution,[],[f60696,f65217]) ).
fof(f65786,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ 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))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_15
| ~ spl97_18
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f65253,f65179]) ).
fof(f65793,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_15 ),
inference(forward_demodulation,[],[f65380,f64458]) ).
fof(f65833,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ 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))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_15
| ~ spl97_18
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f65786,f65385]) ).
fof(f65834,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| v3_struct_0(sK1) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_15 ),
inference(forward_demodulation,[],[f65793,f64458]) ).
fof(f65901,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ 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))
| ~ v1_lattice3(k7_lattice3(sK2)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_14
| ~ spl97_15
| ~ spl97_18
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f65833,f65180]) ).
fof(f65912,plain,
( ! [X0] :
( k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ 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_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_14
| ~ spl97_15
| ~ spl97_18
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f65901,f65182]) ).
fof(f65921,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ 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_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_14
| ~ spl97_15
| ~ spl97_18
| ~ spl97_21 ),
inference(forward_demodulation,[],[f65912,f64458]) ).
fof(f65930,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ 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_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_14
| ~ spl97_15
| ~ spl97_18
| ~ spl97_21 ),
inference(forward_demodulation,[],[f65921,f64458]) ).
fof(f65944,definition,
( spl97_22
<=> v3_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl97_22])],[avatar_definition]) ).
fof(f65946,plain,
( v3_orders_2(sK1)
| ~ spl97_22 ),
inference(avatar_component_clause,[],[f65944]) ).
fof(f65947,plain,
spl97_22,
inference(avatar_split_clause,[],[f56514,f65944]) ).
fof(f66683,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ l1_orders_2(sK1)
| ~ spl97_7 ),
inference(resolution,[],[f57362,f56644]) ).
fof(f67286,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ spl97_7
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f66683,f61504]) ).
fof(f67525,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ 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_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21 ),
inference(backward_subsumption_resolution,[],[f65930,f67286]) ).
fof(f68010,plain,
( ~ v3_struct_0(sK1)
| ~ v2_lattice3(sK1)
| ~ spl97_17 ),
inference(resolution,[],[f61504,f56555]) ).
fof(f68110,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(sK1)
| ~ spl97_17 ),
inference(resolution,[],[f61504,f56637]) ).
fof(f68113,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(sK1)
| ~ spl97_17 ),
inference(resolution,[],[f61504,f56640]) ).
fof(f68115,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(sK1)
| ~ spl97_17 ),
inference(resolution,[],[f61504,f56642]) ).
fof(f68119,plain,
( u1_struct_0(sK1) = u1_struct_0(k7_lattice3(sK1))
| ~ spl97_17 ),
inference(resolution,[],[f61504,f56646]) ).
fof(f68120,plain,
( l1_orders_2(k7_lattice3(sK1))
| ~ spl97_17 ),
inference(resolution,[],[f61504,f56647]) ).
fof(f68122,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ v1_lattice3(sK1)
| ~ spl97_17 ),
inference(resolution,[],[f61504,f56649]) ).
fof(f68834,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f68122,f56512]) ).
fof(f68835,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21 ),
inference(backward_subsumption_resolution,[],[f67525,f68120]) ).
fof(f68840,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ spl97_17
| ~ spl97_22 ),
inference(forward_subsumption_resolution,[],[f68115,f65946]) ).
fof(f68841,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ spl97_16
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f68113,f61499]) ).
fof(f68843,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ spl97_13
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f68110,f60114]) ).
fof(f68878,plain,
( ~ v3_struct_0(sK1)
| ~ spl97_13
| ~ spl97_17 ),
inference(forward_subsumption_resolution,[],[f68010,f60114]) ).
fof(f68912,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f68835,f68834]) ).
fof(f68936,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ spl97_5
| ~ spl97_13
| ~ spl97_17 ),
inference(backward_subsumption_resolution,[],[f63429,f68878]) ).
fof(f69056,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_15
| ~ spl97_17 ),
inference(backward_subsumption_resolution,[],[f65834,f68878]) ).
fof(f69435,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22 ),
inference(forward_subsumption_resolution,[],[f68912,f68840]) ).
fof(f69501,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_demodulation,[],[f69056,f68119]) ).
fof(f69538,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22 ),
inference(forward_subsumption_resolution,[],[f69435,f68936]) ).
fof(f69602,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| k1_waybel34(sK1,sK2,sK3) = X0
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| ~ spl97_2
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_15
| ~ spl97_17 ),
inference(forward_demodulation,[],[f69501,f68119]) ).
fof(f69621,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22 ),
inference(forward_subsumption_resolution,[],[f69538,f68841]) ).
fof(f69634,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22 ),
inference(forward_subsumption_resolution,[],[f69621,f68843]) ).
fof(f69643,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22 ),
inference(forward_demodulation,[],[f69634,f68119]) ).
fof(f69652,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22 ),
inference(forward_demodulation,[],[f69643,f68119]) ).
fof(f69657,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0) )
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22 ),
inference(forward_subsumption_resolution,[],[f69652,f69602]) ).
fof(f75037,definition,
( spl97_50
<=> v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl97_50])],[avatar_definition]) ).
fof(f75039,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ spl97_50 ),
inference(avatar_component_clause,[],[f75037]) ).
fof(f75040,plain,
( spl97_50
| ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18 ),
inference(avatar_split_clause,[],[f63128,f62831,f57370,f57365,f57360,f57355,f57350,f57345,f57333,f75037]) ).
fof(f75060,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),k1_waybel34(sK1,sK2,sK3),sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_50 ),
inference(resolution,[],[f75039,f57313]) ).
fof(f75088,plain,
( ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75060,f69657]) ).
fof(f75111,plain,
( ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75088,f60178]) ).
fof(f75134,plain,
( ~ v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75111,f60177]) ).
fof(f75157,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75134,f63068]) ).
fof(f75169,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75157,f57335]) ).
fof(f75181,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75169,f63069]) ).
fof(f75192,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,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))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75181,f63070]) ).
fof(f75202,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,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))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75192,f57372]) ).
fof(f75212,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75202,f62833]) ).
fof(f75222,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75212,f65217]) ).
fof(f75232,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,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)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75222,f57357]) ).
fof(f75242,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75232,f63172]) ).
fof(f75252,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75242,f60434]) ).
fof(f75262,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,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)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75252,f60439]) ).
fof(f75272,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,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)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75262,f68878]) ).
fof(f75282,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,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)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75272,f57362]) ).
fof(f75292,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75282,f65946]) ).
fof(f75293,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK1)
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75292,f61499]) ).
fof(f75294,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75293,f61504]) ).
fof(f75295,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_demodulation,[],[f75294,f68119]) ).
fof(f75296,plain,
( ~ v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_demodulation,[],[f75295,f64458]) ).
fof(f75297,plain,
( ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75296,f63069]) ).
fof(f75298,plain,
( ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_demodulation,[],[f75297,f68119]) ).
fof(f75299,plain,
( ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_demodulation,[],[f75298,f64458]) ).
fof(f75300,plain,
( $false
| ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(forward_subsumption_resolution,[],[f75299,f63070]) ).
fof(f75301,plain,
( ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(avatar_contradiction_clause,[],[f75300]) ).
cnf(s1,plain,
~ spl97_1,
inference(sat_conversion,[],[f57324]) ).
cnf(s2,plain,
spl97_2,
inference(sat_conversion,[],[f57336]) ).
cnf(s3,plain,
( spl97_1
| ~ spl97_3 ),
inference(sat_conversion,[],[f57341]) ).
cnf(s4,plain,
spl97_4,
inference(sat_conversion,[],[f57348]) ).
cnf(s5,plain,
spl97_5,
inference(sat_conversion,[],[f57353]) ).
cnf(s6,plain,
spl97_6,
inference(sat_conversion,[],[f57358]) ).
cnf(s7,plain,
spl97_7,
inference(sat_conversion,[],[f57363]) ).
cnf(s8,plain,
spl97_8,
inference(sat_conversion,[],[f57368]) ).
cnf(s9,plain,
spl97_9,
inference(sat_conversion,[],[f57373]) ).
cnf(s10,plain,
( ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| spl97_10 ),
inference(sat_conversion,[],[f59958]) ).
cnf(s12,plain,
spl97_13,
inference(sat_conversion,[],[f60115]) ).
cnf(s13,plain,
spl97_14,
inference(sat_conversion,[],[f60435]) ).
cnf(s14,plain,
spl97_15,
inference(sat_conversion,[],[f60440]) ).
cnf(s15,plain,
spl97_16,
inference(sat_conversion,[],[f61500]) ).
cnf(s16,plain,
spl97_17,
inference(sat_conversion,[],[f61505]) ).
cnf(s17,plain,
spl97_18,
inference(sat_conversion,[],[f62834]) ).
cnf(s20,plain,
spl97_21,
inference(sat_conversion,[],[f63173]) ).
cnf(s21,plain,
spl97_22,
inference(sat_conversion,[],[f65947]) ).
cnf(s50,plain,
( ~ spl97_2
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_18
| spl97_50 ),
inference(sat_conversion,[],[f75040]) ).
cnf(s51,plain,
( ~ spl97_2
| spl97_3
| ~ spl97_4
| ~ spl97_5
| ~ spl97_6
| ~ spl97_7
| ~ spl97_8
| ~ spl97_9
| ~ spl97_10
| ~ spl97_13
| ~ spl97_14
| ~ spl97_15
| ~ spl97_16
| ~ spl97_17
| ~ spl97_18
| ~ spl97_21
| ~ spl97_22
| ~ spl97_50 ),
inference(sat_conversion,[],[f75301]) ).
cnf(s54,plain,
spl97_50,
inference(rat,[],[s50,s4,s17,s9,s8,s7,s6,s5,s2]) ).
cnf(s71,plain,
spl97_10,
inference(rat,[],[s10,s4,s9,s8,s7,s6,s5,s2]) ).
cnf(s76,plain,
spl97_3,
inference(rat,[],[s51,s54,s21,s20,s17,s16,s15,s14,s13,s12,s2,s9,s8,s7,s6,s5,s4,s71]) ).
cnf(s77,plain,
spl97_1,
inference(rat,[],[s3,s76]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s1,s77]) ).
fof(f75302,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT354+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 15:00:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 14.42/4.04 % (2945219)Detected formulas, will run a generic FOF schedule.
% 14.42/4.04 % (2945230)dis-21_1_sil=8000:lcm=predicate:random_seed=2977775063:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2983 on theBenchmark for (2983ds/129Mi)
% 14.42/4.04 % (2945225)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=3464008862:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2983 on theBenchmark for (2983ds/134677Mi)
% 14.42/4.04 % (2945224)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=2583934487:i=141193_2983 on theBenchmark for (2983ds/141193Mi)
% 14.42/4.04 % (2945226)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=3558451449:i=141695:sd=1:nm=32:gsp=on:ss=included_2983 on theBenchmark for (2983ds/141695Mi)
% 14.42/4.04 % (2945227)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1670088724:i=109:sd=1:ins=1:gsp=on:ss=axioms_2983 on theBenchmark for (2983ds/109Mi)
% 14.42/4.04 % (2945229)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2749749316:s2a=on:i=139:gtg=position_2983 on theBenchmark for (2983ds/139Mi)
% 14.42/4.04 % (2945228)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1840689555:i=119:av=off:ss=axioms_2983 on theBenchmark for (2983ds/119Mi)
% 14.42/4.04 % (2945230)Instruction limit reached!
% 14.42/4.04 % (2945230)------------------------------
% 14.42/4.04 % (2945230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.04 % (2945230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.04 % (2945230)CaDiCaL version: 2.1.3
% 14.42/4.04 % (2945230)Termination reason: Instruction limit
% 14.42/4.04 % (2945230)Termination phase: SInE selection
% 14.42/4.04 % (2945230)Time elapsed: 0.060 s
% 14.42/4.04 % (2945230)Peak memory usage: 173 MB
% 14.42/4.04 % (2945230)Instructions burned: 130 (million)
% 14.42/4.04 % (2945229)Instruction limit reached!
% 14.42/4.04 % (2945229)------------------------------
% 14.42/4.04 % (2945229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.04 % (2945229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.04 % (2945229)CaDiCaL version: 2.1.3
% 14.42/4.04 % (2945229)Termination reason: Instruction limit
% 14.42/4.04 % (2945229)Termination phase: Property scanning
% 14.42/4.04 % (2945229)Time elapsed: 0.065 s
% 14.42/4.04 % (2945229)Peak memory usage: 173 MB
% 14.42/4.04 % (2945229)Instructions burned: 141 (million)
% 14.42/4.04 % (2945227)Instruction limit reached!
% 14.42/4.04 % (2945227)------------------------------
% 14.42/4.04 % (2945227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.04 % (2945227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.04 % (2945227)CaDiCaL version: 2.1.3
% 14.42/4.04 % (2945227)Termination reason: Instruction limit
% 14.42/4.04 % (2945227)Termination phase: SInE selection
% 14.42/4.04 % (2945227)Time elapsed: 0.081 s
% 14.42/4.04 % (2945227)Peak memory usage: 173 MB
% 14.42/4.04 % (2945227)Instructions burned: 109 (million)
% 14.42/4.04 % (2945228)Instruction limit reached!
% 14.42/4.04 % (2945228)------------------------------
% 14.42/4.04 % (2945228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.04 % (2945228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/4.04 % (2945228)CaDiCaL version: 2.1.3
% 14.42/4.04 % (2945228)Termination reason: Instruction limit
% 14.42/4.04 % (2945228)Termination phase: SInE selection
% 14.42/4.04 % (2945228)Time elapsed: 0.096 s
% 14.42/4.04 % (2945228)Peak memory usage: 173 MB
% 14.42/4.04 % (2945228)Instructions burned: 120 (million)
% 14.42/4.04 % (2945238)lrs+10_1_sil=8000:sp=occurrence:random_seed=3040619543:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 14.42/4.04 % (2945239)lrs+10_1_sil=32000:urr=on:br=off:random_seed=791134366:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/157Mi)
% 14.42/4.04 % (2945240)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3755444121:i=325:sd=1:ss=axioms:sgt=32_2981 on theBenchmark for (2981ds/325Mi)
% 14.42/4.04 % (2945238)Instruction limit reached!
% 14.42/4.04 % (2945238)------------------------------
% 14.42/4.04 % (2945238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.42/4.04 % (2945238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/5.25 % (2945238)CaDiCaL version: 2.1.3
% 22.46/5.25 % (2945238)Termination reason: Instruction limit
% 22.46/5.25 % (2945238)Termination phase: SInE selection
% 22.46/5.25 % (2945238)Time elapsed: 0.123 s
% 22.46/5.25 % (2945238)Peak memory usage: 174 MB
% 22.46/5.25 % (2945238)Instructions burned: 287 (million)
% 22.46/5.25 % (2945242)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=950799961:s2a=on:i=248:s2at=1.23:gtg=position_2980 on theBenchmark for (2980ds/248Mi)
% 22.46/5.25 % (2945239)Instruction limit reached!
% 22.46/5.25 % (2945239)------------------------------
% 22.46/5.25 % (2945239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/5.25 % (2945239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/5.25 % (2945239)CaDiCaL version: 2.1.3
% 22.46/5.25 % (2945239)Termination reason: Instruction limit
% 22.46/5.25 % (2945239)Termination phase: Property scanning
% 22.46/5.25 % (2945239)Time elapsed: 0.074 s
% 22.46/5.25 % (2945239)Peak memory usage: 173 MB
% 22.46/5.25 % (2945239)Instructions burned: 158 (million)
% 22.46/5.25 % (2945246)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1600987282:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2979 on theBenchmark for (2979ds/294Mi)
% 22.46/5.25 % (2945242)Instruction limit reached!
% 22.46/5.25 % (2945242)------------------------------
% 22.46/5.25 % (2945242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/5.25 % (2945242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/5.25 % (2945242)CaDiCaL version: 2.1.3
% 22.46/5.25 % (2945242)Termination reason: Instruction limit
% 22.46/5.25 % (2945242)Termination phase: Property scanning
% 22.46/5.25 % (2945242)Time elapsed: 0.111 s
% 22.46/5.25 % (2945242)Peak memory usage: 173 MB
% 22.46/5.25 % (2945242)Instructions burned: 249 (million)
% 22.46/5.25 % (2945247)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2276084814:i=2350_2978 on theBenchmark for (2978ds/2350Mi)
% 22.46/5.25 % (2945246)Instruction limit reached!
% 22.46/5.25 % (2945246)------------------------------
% 22.46/5.25 % (2945246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/5.25 % (2945246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/5.25 % (2945246)CaDiCaL version: 2.1.3
% 22.46/5.25 % (2945246)Termination reason: Instruction limit
% 22.46/5.25 % (2945246)Termination phase: SInE selection
% 22.46/5.25 % (2945246)Time elapsed: 0.118 s
% 22.46/5.25 % (2945246)Peak memory usage: 174 MB
% 22.46/5.25 % (2945246)Instructions burned: 296 (million)
% 22.46/5.25 % (2945240)Instruction limit reached!
% 22.46/5.25 % (2945240)------------------------------
% 22.46/5.25 % (2945240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/5.25 % (2945240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/5.25 % (2945240)CaDiCaL version: 2.1.3
% 22.46/5.25 % (2945240)Termination reason: Instruction limit
% 22.46/5.25 % (2945240)Termination phase: SInE selection
% 22.46/5.25 % (2945240)Time elapsed: 0.238 s
% 22.46/5.25 % (2945240)Peak memory usage: 174 MB
% 22.46/5.25 % (2945240)Instructions burned: 325 (million)
% 22.46/5.25 % (2945249)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4199975787:cts=off:i=113:fsr=off:ss=included:sgt=4_2978 on theBenchmark for (2978ds/113Mi)
% 22.46/5.25 % (2945251)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=998339334:i=127:av=off:fsr=off:sup=off_2977 on theBenchmark for (2977ds/127Mi)
% 22.46/5.25 % (2945249)Instruction limit reached!
% 22.46/5.25 % (2945249)------------------------------
% 22.46/5.25 % (2945249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/5.25 % (2945249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/5.25 % (2945249)CaDiCaL version: 2.1.3
% 22.46/5.25 % (2945249)Termination reason: Instruction limit
% 22.46/5.25 % (2945249)Termination phase: SInE selection
% 22.46/5.25 % (2945249)Time elapsed: 0.093 s
% 22.46/5.25 % (2945249)Peak memory usage: 173 MB
% 22.46/5.25 % (2945249)Instructions burned: 113 (million)
% 22.46/5.25 % (2945252)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1623384349:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2977 on theBenchmark for (2977ds/114Mi)
% 22.46/5.25 % (2945251)Instruction limit reached!
% 22.46/5.25 % (2945251)------------------------------
% 22.46/5.25 % (2945251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945251)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945251)Termination reason: Instruction limit
% 13.70/6.25 % (2945251)Termination phase: Preprocessing 1
% 13.70/6.25 % (2945251)Time elapsed: 0.058 s
% 13.70/6.25 % (2945251)Peak memory usage: 174 MB
% 13.70/6.25 % (2945251)Instructions burned: 129 (million)
% 13.70/6.25 % (2945252)Instruction limit reached!
% 13.70/6.25 % (2945252)------------------------------
% 13.70/6.25 % (2945252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945252)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945252)Termination reason: Instruction limit
% 13.70/6.25 % (2945252)Termination phase: Property scanning
% 13.70/6.25 % (2945252)Time elapsed: 0.056 s
% 13.70/6.25 % (2945252)Peak memory usage: 173 MB
% 13.70/6.25 % (2945252)Instructions burned: 116 (million)
% 13.70/6.25 % (2945257)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1754803577:i=437:sd=1:aac=none:ss=included_2975 on theBenchmark for (2975ds/437Mi)
% 13.70/6.25 % (2945256)lrs+10_1_sil=8000:sp=occurrence:random_seed=842618425:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2975 on theBenchmark for (2975ds/907Mi)
% 13.70/6.25 % (2945258)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=981198780:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 13.70/6.25 % (2945257)Instruction limit reached!
% 13.70/6.25 % (2945257)------------------------------
% 13.70/6.25 % (2945257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945257)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945257)Termination reason: Instruction limit
% 13.70/6.25 % (2945257)Termination phase: Naming
% 13.70/6.25 % (2945257)Time elapsed: 0.203 s
% 13.70/6.25 % (2945257)Peak memory usage: 177 MB
% 13.70/6.25 % (2945257)Instructions burned: 438 (million)
% 13.70/6.25 % (2945262)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2732723151:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 13.70/6.25 % (2945262)Instruction limit reached!
% 13.70/6.25 % (2945262)------------------------------
% 13.70/6.25 % (2945262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945262)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945262)Termination reason: Instruction limit
% 13.70/6.25 % (2945262)Termination phase: SInE selection
% 13.70/6.25 % (2945262)Time elapsed: 0.058 s
% 13.70/6.25 % (2945262)Peak memory usage: 173 MB
% 13.70/6.25 % (2945262)Instructions burned: 135 (million)
% 13.70/6.25 % (2945264)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1618169801:st=8:i=592:sd=3:ep=RST:ss=axioms_2971 on theBenchmark for (2971ds/592Mi)
% 13.70/6.25 % (2945264)Instruction limit reached!
% 13.70/6.25 % (2945264)------------------------------
% 13.70/6.25 % (2945264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945264)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945264)Termination reason: Instruction limit
% 13.70/6.25 % (2945264)Termination phase: SInE selection
% 13.70/6.25 % (2945264)Time elapsed: 0.213 s
% 13.70/6.25 % (2945264)Peak memory usage: 175 MB
% 13.70/6.25 % (2945264)Instructions burned: 594 (million)
% 13.70/6.25 % (2945266)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1967481103:st=3:i=13193:sd=3:ss=axioms_2968 on theBenchmark for (2968ds/13193Mi)
% 13.70/6.25 % (2945256)Instruction limit reached!
% 13.70/6.25 % (2945256)------------------------------
% 13.70/6.25 % (2945256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945256)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945256)Termination reason: Instruction limit
% 13.70/6.25 % (2945256)Termination phase: Naming
% 13.70/6.25 % (2945256)Time elapsed: 0.724 s
% 13.70/6.25 % (2945256)Peak memory usage: 192 MB
% 13.70/6.25 % (2945256)Instructions burned: 908 (million)
% 13.70/6.25 % (2945268)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=992680379:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 13.70/6.25 % (2945268)Instruction limit reached!
% 13.70/6.25 % (2945268)------------------------------
% 13.70/6.25 % (2945268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945268)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945268)Termination reason: Instruction limit
% 13.70/6.25 % (2945268)Termination phase: Property scanning
% 13.70/6.25 % (2945268)Time elapsed: 0.061 s
% 13.70/6.25 % (2945268)Peak memory usage: 173 MB
% 13.70/6.25 % (2945268)Instructions burned: 126 (million)
% 13.70/6.25 % (2945270)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3582005582:i=134:gtgl=5:slsql=off:gtg=exists_sym_2964 on theBenchmark for (2964ds/134Mi)
% 13.70/6.25 % (2945270)Instruction limit reached!
% 13.70/6.25 % (2945270)------------------------------
% 13.70/6.25 % (2945270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945270)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945270)Termination reason: Instruction limit
% 13.70/6.25 % (2945270)Termination phase: Property scanning
% 13.70/6.25 % (2945270)Time elapsed: 0.066 s
% 13.70/6.25 % (2945270)Peak memory usage: 173 MB
% 13.70/6.25 % (2945270)Instructions burned: 136 (million)
% 13.70/6.25 % (2945272)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2369944809:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/141Mi)
% 13.70/6.25 % (2945247)Instruction limit reached!
% 13.70/6.25 % (2945247)------------------------------
% 13.70/6.25 % (2945247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945247)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945247)Termination reason: Instruction limit
% 13.70/6.25 % (2945247)Termination phase: Preprocessing 3
% 13.70/6.25 % (2945247)Time elapsed: 1.651 s
% 13.70/6.25 % (2945247)Peak memory usage: 276 MB
% 13.70/6.25 % (2945247)Instructions burned: 2352 (million)
% 13.70/6.25 % (2945272)Instruction limit reached!
% 13.70/6.25 % (2945272)------------------------------
% 13.70/6.25 % (2945272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945272)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945272)Termination reason: Instruction limit
% 13.70/6.25 % (2945272)Termination phase: SInE selection
% 13.70/6.25 % (2945272)Time elapsed: 0.113 s
% 13.70/6.25 % (2945272)Peak memory usage: 173 MB
% 13.70/6.25 % (2945272)Instructions burned: 141 (million)
% 13.70/6.25 % (2945274)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1642087862:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2960 on theBenchmark for (2960ds/431Mi)
% 13.70/6.25 % (2945275)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=1489963483:i=6060:aac=none:ins=25_2960 on theBenchmark for (2960ds/6060Mi)
% 13.70/6.25 % (2945274)Instruction limit reached!
% 13.70/6.25 % (2945274)------------------------------
% 13.70/6.25 % (2945274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945274)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945274)Termination reason: Instruction limit
% 13.70/6.25 % (2945274)Termination phase: Unused predicate definition removal
% 13.70/6.25 % (2945274)Time elapsed: 0.343 s
% 13.70/6.25 % (2945274)Peak memory usage: 177 MB
% 13.70/6.25 % (2945274)Instructions burned: 431 (million)
% 13.70/6.25 % (2945278)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=1962877283:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2955 on theBenchmark for (2955ds/150Mi)
% 13.70/6.25 % (2945278)Instruction limit reached!
% 13.70/6.25 % (2945278)------------------------------
% 13.70/6.25 % (2945278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/6.25 % (2945278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/6.25 % (2945278)CaDiCaL version: 2.1.3
% 13.70/6.25 % (2945278)Termination reason: Instruction limit
% 13.70/6.25 % (2945278)Termination phase: SInE selection
% 13.70/6.25 % (2945278)Time elapsed: 0.117 s
% 13.70/6.25 % (2945278)Peak memory usage: 173 MB
% 13.70/6.25 % (2945278)Instructions burned: 150 (million)
% 13.70/6.25 % (2945280)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2208921773:i=14155:bd=all_2953 on theBenchmark for (2953ds/14155Mi)
% 13.70/6.25 % (2945226)First to succeed.
% 13.70/6.25 % (2945226)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2945219"
% 13.70/6.25 % (2945226)Refutation found. Thanks to Tanya!
% 13.70/6.25 % SZS status Theorem for theBenchmark
% 13.70/6.25 % SZS output start Proof for theBenchmark
% See solution above
% 30.04/6.37 % (2945226)------------------------------
% 30.04/6.37 % (2945226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.04/6.37 % (2945226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.04/6.37 % (2945226)CaDiCaL version: 2.1.3
% 30.04/6.37 % (2945226)Termination reason: Refutation
% 30.04/6.37 % (2945226)Time elapsed: 3.506 s
% 30.04/6.37 % (2945226)Peak memory usage: 252 MB
% 30.04/6.37 % (2945226)Instructions burned: 5961 (million)
% 30.04/6.37 % (2945226)------------------------------
% 30.04/6.37 % (2945226)------------------------------
% 30.04/6.37 % (2945219)Success in time 5.655 s
% 30.04/6.37 % Vampire exiting
%------------------------------------------------------------------------------