%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT354+2 : 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 13.71s 3.27s
% Output : Refutation 14.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 39
% Syntax : Number of formulae : 426 ( 61 unt; 21 def)
% Number of atoms : 5393 ( 121 equ)
% Maximal formula atoms : 40 ( 12 avg)
% Number of connectives : 9476 (4509 ~;4569 |; 315 &)
% ( 36 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 14 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 46 ( 44 usr; 22 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 300 ( 0 sgn 294 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1257,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(f6865,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f6890,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_lattice3) ).
fof(f6941,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(f8837,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(f8930,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(f8931,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(f8932,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(f8934,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(f8961,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_yellow_7) ).
fof(f8984,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(f8989,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(f10314,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(f10327,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(f10328,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(f10335,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(f10336,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(f10338,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(f10339,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)],[f10338]) ).
fof(f10416,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,[],[f10336]) ).
fof(f10418,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,[],[f10314]) ).
fof(f10419,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,[],[f10418]) ).
fof(f10434,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,[],[f10327]) ).
fof(f10435,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,[],[f10434]) ).
fof(f10436,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,[],[f10328]) ).
fof(f10437,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,[],[f10436]) ).
fof(f10450,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,[],[f10335]) ).
fof(f10451,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,[],[f10450]) ).
fof(f10452,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,[],[f10416]) ).
fof(f10453,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,[],[f10452]) ).
fof(f10456,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,[],[f10339]) ).
fof(f10457,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,[],[f10456]) ).
fof(f10460,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6865]) ).
fof(f10461,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10460]) ).
fof(f10465,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,[],[f8984]) ).
fof(f10466,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,[],[f10465]) ).
fof(f10469,plain,
! [X0] :
( ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8961]) ).
fof(f10470,plain,
! [X0] :
( ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10469]) ).
fof(f10482,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,[],[f8934]) ).
fof(f10483,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,[],[f10482]) ).
fof(f10484,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,[],[f8932]) ).
fof(f10485,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10484]) ).
fof(f10486,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,[],[f8931]) ).
fof(f10487,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10486]) ).
fof(f10488,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,[],[f8930]) ).
fof(f10489,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10488]) ).
fof(f10490,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8837]) ).
fof(f10491,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6941]) ).
fof(f10492,plain,
! [X0] :
( ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6890]) ).
fof(f10564,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,[],[f8989]) ).
fof(f10565,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,[],[f10564]) ).
fof(f10763,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,[],[f10435]) ).
fof(f10764,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,[],[f10437]) ).
fof(f10765,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)],[f10457]) ).
fof(f10768,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,[],[f1257]) ).
fof(f10775,plain,
! [X0] :
( ( ( v3_lattice3(X0)
| ~ v3_lattice3(k7_lattice3(X0)) )
& ( v3_lattice3(k7_lattice3(X0))
| ~ v3_lattice3(X0) ) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f10470]) ).
fof(f10781,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,[],[f10492]) ).
fof(f10814,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,[],[f10565]) ).
fof(f10865,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,[],[f10419]) ).
fof(f10866,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,[],[f10419]) ).
fof(f10867,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,[],[f10419]) ).
fof(f10905,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,[],[f10763]) ).
fof(f10906,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,[],[f10763]) ).
fof(f10908,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,[],[f10764]) ).
fof(f10935,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,[],[f10451]) ).
fof(f10940,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,[],[f10453]) ).
fof(f10954,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f10765]) ).
fof(f10955,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f10765]) ).
fof(f10956,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f10765]) ).
fof(f10957,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f10765]) ).
fof(f10958,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f10765]) ).
fof(f10959,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f10765]) ).
fof(f10960,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f10765]) ).
fof(f10961,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f10765]) ).
fof(f10962,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f10765]) ).
fof(f10963,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f10765]) ).
fof(f10964,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f10765]) ).
fof(f10965,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f10765]) ).
fof(f10966,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f10765]) ).
fof(f10967,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f10765]) ).
fof(f10968,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f10765]) ).
fof(f10969,plain,
v17_waybel_0(sK3,sK1,sK2),
inference(cnf_transformation,[],[f10765]) ).
fof(f10970,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f10765]) ).
fof(f10971,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f10765]) ).
fof(f10972,plain,
k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3)),
inference(cnf_transformation,[],[f10765]) ).
fof(f10978,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10768]) ).
fof(f10986,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10461]) ).
fof(f11002,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,[],[f10466]) ).
fof(f11003,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,[],[f10466]) ).
fof(f11021,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10775]) ).
fof(f11040,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10483]) ).
fof(f11043,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10485]) ).
fof(f11045,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10487]) ).
fof(f11047,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10489]) ).
fof(f11049,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10490]) ).
fof(f11050,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10491]) ).
fof(f11052,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10781]) ).
fof(f11181,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,[],[f10814]) ).
fof(f11182,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,[],[f10814]) ).
fof(f11485,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,[],[f10905]) ).
fof(f11500,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,[],[f11182]) ).
fof(f11501,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,[],[f11500]) ).
fof(f11502,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,[],[f11181]) ).
fof(f11503,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,[],[f11502]) ).
fof(f11544,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,[],[f11501]) ).
fof(f11545,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,[],[f11503]) ).
fof(f11551,definition,
( spl78_1
<=> k1_waybel34(sK1,sK2,sK3) = k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl78_1])],[avatar_definition]) ).
fof(f11553,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),k3_waybel34(sK1,sK2,sK3))
| spl78_1 ),
inference(avatar_component_clause,[],[f11551]) ).
fof(f11554,plain,
~ spl78_1,
inference(avatar_split_clause,[],[f10972,f11551]) ).
fof(f11555,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)
| spl78_1 ),
inference(superposition,[],[f11553,f10935]) ).
fof(f11557,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)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11555,f10971]) ).
fof(f11558,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)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11557,f10970]) ).
fof(f11559,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11558,f10968]) ).
fof(f11560,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| ~ l1_orders_2(sK1)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11559,f10961]) ).
fof(f11561,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11560,f10954]) ).
fof(f11563,definition,
( spl78_2
<=> k1_waybel34(sK1,sK2,sK3) = k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3) ),
introduced(definition,[new_symbols(definition,[spl78_2])],[avatar_definition]) ).
fof(f11565,plain,
( k1_waybel34(sK1,sK2,sK3) != k2_waybel34(k7_lattice3(sK2),k7_lattice3(sK1),sK3)
| spl78_2 ),
inference(avatar_component_clause,[],[f11563]) ).
fof(f11566,plain,
( ~ spl78_2
| spl78_1 ),
inference(avatar_split_clause,[],[f11561,f11551,f11563]) ).
fof(f11567,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)) )
| spl78_2 ),
inference(superposition,[],[f11565,f10908]) ).
fof(f11568,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)) )
| spl78_2 ),
inference(forward_subsumption_resolution,[],[f11567,f10971]) ).
fof(f11570,definition,
( spl78_3
<=> v1_funct_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl78_3])],[avatar_definition]) ).
fof(f11572,plain,
( v1_funct_1(sK3)
| ~ spl78_3 ),
inference(avatar_component_clause,[],[f11570]) ).
fof(f11573,plain,
spl78_3,
inference(avatar_split_clause,[],[f10971,f11570]) ).
fof(f11575,definition,
( spl78_4
<=> v2_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_4])],[avatar_definition]) ).
fof(f11577,plain,
( v2_orders_2(sK2)
| ~ spl78_4 ),
inference(avatar_component_clause,[],[f11575]) ).
fof(f11578,plain,
spl78_4,
inference(avatar_split_clause,[],[f10967,f11575]) ).
fof(f11580,definition,
( spl78_5
<=> v2_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_5])],[avatar_definition]) ).
fof(f11582,plain,
( v2_orders_2(sK1)
| ~ spl78_5 ),
inference(avatar_component_clause,[],[f11580]) ).
fof(f11583,plain,
spl78_5,
inference(avatar_split_clause,[],[f10960,f11580]) ).
fof(f11585,definition,
( spl78_6
<=> v2_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_6])],[avatar_definition]) ).
fof(f11587,plain,
( v2_lattice3(sK1)
| ~ spl78_6 ),
inference(avatar_component_clause,[],[f11585]) ).
fof(f11588,plain,
spl78_6,
inference(avatar_split_clause,[],[f10956,f11585]) ).
fof(f11590,definition,
( spl78_7
<=> v2_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_7])],[avatar_definition]) ).
fof(f11592,plain,
( v2_lattice3(sK2)
| ~ spl78_7 ),
inference(avatar_component_clause,[],[f11590]) ).
fof(f11593,plain,
spl78_7,
inference(avatar_split_clause,[],[f10963,f11590]) ).
fof(f11595,definition,
( spl78_8
<=> v3_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_8])],[avatar_definition]) ).
fof(f11597,plain,
( v3_orders_2(sK1)
| ~ spl78_8 ),
inference(avatar_component_clause,[],[f11595]) ).
fof(f11598,plain,
spl78_8,
inference(avatar_split_clause,[],[f10959,f11595]) ).
fof(f11600,definition,
( spl78_9
<=> v3_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_9])],[avatar_definition]) ).
fof(f11602,plain,
( v3_orders_2(sK2)
| ~ spl78_9 ),
inference(avatar_component_clause,[],[f11600]) ).
fof(f11603,plain,
spl78_9,
inference(avatar_split_clause,[],[f10966,f11600]) ).
fof(f11605,definition,
( spl78_10
<=> v4_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_10])],[avatar_definition]) ).
fof(f11607,plain,
( v4_orders_2(sK2)
| ~ spl78_10 ),
inference(avatar_component_clause,[],[f11605]) ).
fof(f11608,plain,
spl78_10,
inference(avatar_split_clause,[],[f10965,f11605]) ).
fof(f11610,definition,
( spl78_11
<=> v4_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_11])],[avatar_definition]) ).
fof(f11612,plain,
( v4_orders_2(sK1)
| ~ spl78_11 ),
inference(avatar_component_clause,[],[f11610]) ).
fof(f11613,plain,
spl78_11,
inference(avatar_split_clause,[],[f10958,f11610]) ).
fof(f11723,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ spl78_4 ),
inference(resolution,[],[f11577,f11047]) ).
fof(f12200,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ spl78_4 ),
inference(forward_subsumption_resolution,[],[f11723,f10961]) ).
fof(f12492,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)) )
| spl78_2
| ~ spl78_4 ),
inference(backward_subsumption_resolution,[],[f11568,f12200]) ).
fof(f13331,definition,
( spl78_12
<=> v1_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_12])],[avatar_definition]) ).
fof(f13333,plain,
( v1_lattice3(sK1)
| ~ spl78_12 ),
inference(avatar_component_clause,[],[f13331]) ).
fof(f13334,plain,
spl78_12,
inference(avatar_split_clause,[],[f10957,f13331]) ).
fof(f13336,definition,
( spl78_13
<=> v1_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_13])],[avatar_definition]) ).
fof(f13338,plain,
( v1_lattice3(sK2)
| ~ spl78_13 ),
inference(avatar_component_clause,[],[f13336]) ).
fof(f13339,plain,
spl78_13,
inference(avatar_split_clause,[],[f10964,f13336]) ).
fof(f13449,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ l1_orders_2(sK1)
| ~ spl78_5 ),
inference(resolution,[],[f11582,f11047]) ).
fof(f13926,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ spl78_5 ),
inference(forward_subsumption_resolution,[],[f13449,f10954]) ).
fof(f14219,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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5 ),
inference(backward_subsumption_resolution,[],[f12492,f13926]) ).
fof(f15057,definition,
( spl78_14
<=> l1_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_14])],[avatar_definition]) ).
fof(f15059,plain,
( l1_orders_2(sK1)
| ~ spl78_14 ),
inference(avatar_component_clause,[],[f15057]) ).
fof(f15060,plain,
spl78_14,
inference(avatar_split_clause,[],[f10954,f15057]) ).
fof(f15062,definition,
( spl78_15
<=> l1_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_15])],[avatar_definition]) ).
fof(f15064,plain,
( l1_orders_2(sK2)
| ~ spl78_15 ),
inference(avatar_component_clause,[],[f15062]) ).
fof(f15065,plain,
spl78_15,
inference(avatar_split_clause,[],[f10961,f15062]) ).
fof(f15067,definition,
( spl78_16
<=> v3_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_16])],[avatar_definition]) ).
fof(f15069,plain,
( v3_lattice3(sK1)
| ~ spl78_16 ),
inference(avatar_component_clause,[],[f15067]) ).
fof(f15070,plain,
spl78_16,
inference(avatar_split_clause,[],[f10955,f15067]) ).
fof(f15072,definition,
( spl78_17
<=> v3_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_17])],[avatar_definition]) ).
fof(f15074,plain,
( v3_lattice3(sK2)
| ~ spl78_17 ),
inference(avatar_component_clause,[],[f15072]) ).
fof(f15075,plain,
spl78_17,
inference(avatar_split_clause,[],[f10962,f15072]) ).
fof(f15193,plain,
( ~ v3_struct_0(sK2)
| ~ v2_lattice3(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15064,f10986]) ).
fof(f15246,plain,
( v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(sK2)
| v3_struct_0(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15064,f11021]) ).
fof(f15265,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15064,f11040]) ).
fof(f15268,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15064,f11043]) ).
fof(f15270,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15064,f11045]) ).
fof(f15274,plain,
( u1_struct_0(sK2) = u1_struct_0(k7_lattice3(sK2))
| ~ spl78_15 ),
inference(resolution,[],[f15064,f11049]) ).
fof(f15275,plain,
( l1_orders_2(k7_lattice3(sK2))
| ~ spl78_15 ),
inference(resolution,[],[f15064,f11050]) ).
fof(f15277,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15064,f11052]) ).
fof(f15825,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15277,f13338]) ).
fof(f15826,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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_15 ),
inference(backward_subsumption_resolution,[],[f14219,f15275]) ).
fof(f15828,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ spl78_9
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15270,f11602]) ).
fof(f15829,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ spl78_10
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15268,f11607]) ).
fof(f15831,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ spl78_7
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15265,f11592]) ).
fof(f15837,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f15246,f15074]) ).
fof(f15854,plain,
( ~ v3_struct_0(sK2)
| ~ spl78_7
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15193,f11592]) ).
fof(f15889,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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15826,f15825]) ).
fof(f16204,plain,
( v3_lattice3(k7_lattice3(sK2))
| ~ spl78_7
| ~ spl78_15
| ~ spl78_17 ),
inference(backward_subsumption_resolution,[],[f15837,f15854]) ).
fof(f16211,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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_9
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15889,f15828]) ).
fof(f16248,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))
| ~ 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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_13
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f16211,f16204]) ).
fof(f16268,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))
| ~ 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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f16248,f15829]) ).
fof(f16278,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))
| ~ 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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f16268,f15831]) ).
fof(f16288,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))
| ~ 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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_demodulation,[],[f16278,f15274]) ).
fof(f16298,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))
| ~ 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)))
| ~ 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)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_demodulation,[],[f16288,f15274]) ).
fof(f16304,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_demodulation,[],[f16298,f15274]) ).
fof(f16310,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_demodulation,[],[f16304,f15274]) ).
fof(f17035,plain,
( ~ v3_struct_0(sK1)
| ~ v2_lattice3(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15059,f10986]) ).
fof(f17088,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(sK1)
| v3_struct_0(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15059,f11021]) ).
fof(f17107,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15059,f11040]) ).
fof(f17110,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15059,f11043]) ).
fof(f17112,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15059,f11045]) ).
fof(f17116,plain,
( u1_struct_0(sK1) = u1_struct_0(k7_lattice3(sK1))
| ~ spl78_14 ),
inference(resolution,[],[f15059,f11049]) ).
fof(f17117,plain,
( l1_orders_2(k7_lattice3(sK1))
| ~ spl78_14 ),
inference(resolution,[],[f15059,f11050]) ).
fof(f17119,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ v1_lattice3(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15059,f11052]) ).
fof(f17667,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ spl78_12
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f17119,f13333]) ).
fof(f17669,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_17 ),
inference(backward_subsumption_resolution,[],[f16310,f17117]) ).
fof(f17670,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ spl78_8
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f17112,f11597]) ).
fof(f17671,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ spl78_11
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f17110,f11612]) ).
fof(f17673,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ spl78_6
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f17107,f11587]) ).
fof(f17679,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ spl78_14
| ~ spl78_16 ),
inference(forward_subsumption_resolution,[],[f17088,f15069]) ).
fof(f17696,plain,
( ~ v3_struct_0(sK1)
| ~ spl78_6
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f17035,f11587]) ).
fof(f17732,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f17669,f17667]) ).
fof(f18046,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ spl78_6
| ~ spl78_14
| ~ spl78_16 ),
inference(backward_subsumption_resolution,[],[f17679,f17696]) ).
fof(f18054,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f17732,f17670]) ).
fof(f18091,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f18054,f18046]) ).
fof(f18111,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f18091,f17671]) ).
fof(f18121,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f18111,f17673]) ).
fof(f18131,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_demodulation,[],[f18121,f17116]) ).
fof(f18141,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f18131,f10968]) ).
fof(f18147,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k1_waybel34(sK1,sK2,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1))
| ~ v1_funct_1(X0)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_demodulation,[],[f18141,f17116]) ).
fof(f18153,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)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_subsumption_resolution,[],[f18147,f10970]) ).
fof(f18158,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)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_demodulation,[],[f18153,f17116]) ).
fof(f18159,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)
| ~ v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| spl78_2
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17 ),
inference(forward_demodulation,[],[f18158,f17116]) ).
fof(f18534,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) )
| ~ spl78_3 ),
inference(resolution,[],[f11572,f11002]) ).
fof(f18535,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) )
| ~ spl78_3 ),
inference(resolution,[],[f11572,f11003]) ).
fof(f19518,definition,
( spl78_18
<=> v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl78_18])],[avatar_definition]) ).
fof(f19520,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_18 ),
inference(avatar_component_clause,[],[f19518]) ).
fof(f19521,plain,
spl78_18,
inference(avatar_split_clause,[],[f10970,f19518]) ).
fof(f19522,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))
| ~ spl78_18 ),
inference(resolution,[],[f19520,f10865]) ).
fof(f19523,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))
| ~ spl78_18 ),
inference(resolution,[],[f19520,f10866]) ).
fof(f19524,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))
| ~ spl78_18 ),
inference(resolution,[],[f19520,f10867]) ).
fof(f19531,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) )
| ~ spl78_18 ),
inference(resolution,[],[f19520,f10906]) ).
fof(f19561,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)
| ~ spl78_18 ),
inference(resolution,[],[f19520,f10935]) ).
fof(f19566,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))
| ~ spl78_18 ),
inference(resolution,[],[f19520,f10940]) ).
fof(f19698,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)
| ~ spl78_18 ),
inference(resolution,[],[f19520,f11485]) ).
fof(f19762,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)
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19698,f15069]) ).
fof(f19891,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))
| ~ spl78_5
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19566,f11582]) ).
fof(f19896,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)
| ~ spl78_3
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19561,f11572]) ).
fof(f19926,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) )
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19531,f15069]) ).
fof(f19933,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))
| ~ spl78_5
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19524,f11582]) ).
fof(f19934,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))
| ~ spl78_5
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19523,f11582]) ).
fof(f19935,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))
| ~ spl78_5
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19522,f11582]) ).
fof(f19964,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)
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19762,f15074]) ).
fof(f20093,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19891,f11597]) ).
fof(f20098,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl78_3
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19896,f10968]) ).
fof(f20128,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) )
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19926,f15074]) ).
fof(f20135,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19933,f11597]) ).
fof(f20136,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19934,f11597]) ).
fof(f20137,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19935,f11597]) ).
fof(f20165,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)
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19964,f10969]) ).
fof(f20294,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_11
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20093,f11612]) ).
fof(f20299,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ l1_orders_2(sK1)
| ~ spl78_3
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20098,f15064]) ).
fof(f20329,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) )
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20128,f10969]) ).
fof(f20336,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_11
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20135,f11612]) ).
fof(f20337,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_11
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20136,f11612]) ).
fof(f20338,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_11
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20137,f11612]) ).
fof(f20366,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)
| ~ spl78_3
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20165,f11572]) ).
fof(f20491,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20294,f13333]) ).
fof(f20496,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ spl78_3
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20299,f15059]) ).
fof(f20526,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) )
| ~ spl78_3
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20329,f11572]) ).
fof(f20532,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20336,f13333]) ).
fof(f20533,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20337,f13333]) ).
fof(f20534,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))
| ~ spl78_5
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20338,f13333]) ).
fof(f20555,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)
| ~ spl78_3
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20366,f10968]) ).
fof(f20670,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20491,f11587]) ).
fof(f20704,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) )
| ~ spl78_3
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20526,f10968]) ).
fof(f20710,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20532,f11587]) ).
fof(f20711,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20533,f11587]) ).
fof(f20712,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20534,f11587]) ).
fof(f20733,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20555,f11577]) ).
fof(f20846,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20670,f15069]) ).
fof(f20880,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20704,f11577]) ).
fof(f20886,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20710,f15059]) ).
fof(f20887,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20711,f15059]) ).
fof(f20888,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20712,f15059]) ).
fof(f20900,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_9
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20733,f11602]) ).
fof(f20988,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))
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20846,f15059]) ).
fof(f21022,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_9
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20880,f11602]) ).
fof(f21026,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20886,f11577]) ).
fof(f21027,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20887,f11577]) ).
fof(f21028,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20888,f11577]) ).
fof(f21040,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_9
| ~ spl78_10
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20900,f11607]) ).
fof(f21120,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20988,f11577]) ).
fof(f21154,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_9
| ~ spl78_10
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21022,f11607]) ).
fof(f21158,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21026,f11602]) ).
fof(f21159,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21027,f11602]) ).
fof(f21160,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21028,f11602]) ).
fof(f21169,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21040,f13338]) ).
fof(f21245,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21120,f11602]) ).
fof(f21279,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21154,f13338]) ).
fof(f21283,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21158,f11607]) ).
fof(f21284,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21159,f11607]) ).
fof(f21285,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21160,f11607]) ).
fof(f21293,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21169,f11592]) ).
fof(f21366,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21245,f11607]) ).
fof(f21400,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21279,f11592]) ).
fof(f21404,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21283,f13338]) ).
fof(f21405,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21284,f13338]) ).
fof(f21406,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21285,f13338]) ).
fof(f21414,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21293,f15064]) ).
fof(f21483,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21366,f13338]) ).
fof(f21517,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21400,f15064]) ).
fof(f21521,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21404,f11592]) ).
fof(f21522,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21405,f11592]) ).
fof(f21523,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21406,f11592]) ).
fof(f21531,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21414,f11582]) ).
fof(f21593,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21483,f11592]) ).
fof(f21627,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21517,f11582]) ).
fof(f21631,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21521,f15064]) ).
fof(f21632,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21522,f15064]) ).
fof(f21633,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21523,f15064]) ).
fof(f21639,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21531,f11597]) ).
fof(f21670,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21593,f15074]) ).
fof(f21704,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21627,f11597]) ).
fof(f21708,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21631,f11572]) ).
fof(f21709,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))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21632,f11572]) ).
fof(f21710,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))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21633,f11572]) ).
fof(f21716,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21639,f11612]) ).
fof(f21745,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))
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21670,f15064]) ).
fof(f21779,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21704,f11612]) ).
fof(f21785,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21716,f13333]) ).
fof(f21838,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))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21745,f11572]) ).
fof(f21868,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21779,f13333]) ).
fof(f21874,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)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21785,f11587]) ).
fof(f21900,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))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21838,f10969]) ).
fof(f21923,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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21868,f11587]) ).
fof(f21928,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))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21874,f15059]) ).
fof(f21941,plain,
( v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_demodulation,[],[f21900,f20496]) ).
fof(f21950,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)) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21923,f15059]) ).
fof(f22361,definition,
( spl78_20
<=> m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl78_20])],[avatar_definition]) ).
fof(f22363,plain,
( m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_20 ),
inference(avatar_component_clause,[],[f22361]) ).
fof(f22364,plain,
spl78_20,
inference(avatar_split_clause,[],[f10968,f22361]) ).
fof(f22505,plain,
( m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_20 ),
inference(resolution,[],[f22363,f10978]) ).
fof(f22530,plain,
( v1_funct_1(k1_waybel34(sK1,sK2,sK3))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20 ),
inference(backward_subsumption_resolution,[],[f21708,f22505]) ).
fof(f22531,plain,
( v1_funct_2(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20 ),
inference(backward_subsumption_resolution,[],[f21709,f22505]) ).
fof(f22532,plain,
( m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20 ),
inference(backward_subsumption_resolution,[],[f21710,f22505]) ).
fof(f22554,plain,
( v18_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20 ),
inference(backward_subsumption_resolution,[],[f21941,f22505]) ).
fof(f22585,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))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20 ),
inference(backward_subsumption_resolution,[],[f21928,f22530]) ).
fof(f22586,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) )
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20 ),
inference(backward_subsumption_resolution,[],[f18159,f22554]) ).
fof(f22601,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))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20 ),
inference(forward_subsumption_resolution,[],[f22585,f22531]) ).
fof(f22616,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20 ),
inference(forward_subsumption_resolution,[],[f22601,f22532]) ).
fof(f22859,definition,
( spl78_21
<=> ! [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,[spl78_21])],[avatar_definition]) ).
fof(f22860,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)) )
| ~ spl78_21 ),
inference(avatar_component_clause,[],[f22859]) ).
fof(f22861,plain,
( spl78_21
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(avatar_split_clause,[],[f21950,f19518,f15072,f15067,f15062,f15057,f13336,f13331,f11610,f11605,f11600,f11595,f11590,f11585,f11580,f11575,f11570,f22859]) ).
fof(f22871,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) )
| ~ spl78_21 ),
inference(resolution,[],[f22860,f11544]) ).
fof(f22876,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) )
| ~ spl78_21 ),
inference(duplicate_literal_removal,[],[f22871]) ).
fof(f22889,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) )
| ~ spl78_3
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22876,f18535]) ).
fof(f22901,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) )
| ~ spl78_3
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22889,f18534]) ).
fof(f22913,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) )
| ~ spl78_3
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22901,f11572]) ).
fof(f22924,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)))
| ~ 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) )
| ~ spl78_3
| ~ spl78_18
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22913,f19520]) ).
fof(f22935,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)))
| 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) )
| ~ spl78_3
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22924,f22363]) ).
fof(f22946,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)))
| ~ 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) )
| ~ spl78_3
| ~ spl78_7
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22935,f15854]) ).
fof(f22956,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)))
| ~ 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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22946,f11577]) ).
fof(f22966,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)))
| ~ 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) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22956,f11602]) ).
fof(f22976,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)))
| ~ l1_orders_2(sK2)
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22966,f11607]) ).
fof(f22982,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)))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22976,f15064]) ).
fof(f22988,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)))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22982,f17696]) ).
fof(f22993,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)))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22988,f11582]) ).
fof(f22998,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)))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22993,f11597]) ).
fof(f23003,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)))
| ~ l1_orders_2(sK1) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f22998,f11612]) ).
fof(f23008,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))) )
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f23003,f15059]) ).
fof(f23009,plain,
( ! [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))) )
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_subsumption_resolution,[],[f23008,f22586]) ).
fof(f23010,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_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))) )
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_demodulation,[],[f23009,f17116]) ).
fof(f23011,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_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))) )
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_demodulation,[],[f23010,f15274]) ).
fof(f23012,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1))) )
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(duplicate_literal_removal,[],[f23011]) ).
fof(f23013,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ 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)) )
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_demodulation,[],[f23012,f17116]) ).
fof(f23014,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(sK1))
| ~ 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)) )
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(forward_demodulation,[],[f23013,f15274]) ).
fof(f23015,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(sK1))
| ~ v1_funct_1(X0)
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK2),k7_lattice3(sK1),X0,sK3),k7_lattice3(sK2),k7_lattice3(sK1)) )
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21 ),
inference(duplicate_literal_removal,[],[f23014]) ).
fof(f24680,definition,
( spl78_39
<=> v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl78_39])],[avatar_definition]) ).
fof(f24682,plain,
( v3_waybel_1(k1_waybel_1(sK1,sK2,sK3,k1_waybel34(sK1,sK2,sK3)),sK1,sK2)
| ~ spl78_39 ),
inference(avatar_component_clause,[],[f24680]) ).
fof(f24683,plain,
( spl78_39
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20 ),
inference(avatar_split_clause,[],[f22616,f22361,f19518,f15072,f15067,f15062,f15057,f13336,f13331,f11610,f11605,f11600,f11595,f11590,f11585,f11580,f11575,f11570,f24680]) ).
fof(f26194,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)
| ~ spl78_39 ),
inference(resolution,[],[f24682,f11545]) ).
fof(f26222,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)
| ~ 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)
| ~ spl78_3
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26194,f18535]) ).
fof(f26241,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(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)
| ~ spl78_3
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26222,f18534]) ).
fof(f26260,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26241,f23015]) ).
fof(f26279,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26260,f22530]) ).
fof(f26287,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26279,f11572]) ).
fof(f26295,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26287,f22531]) ).
fof(f26302,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26295,f22532]) ).
fof(f26308,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26302,f19520]) ).
fof(f26314,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26308,f22363]) ).
fof(f26320,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26314,f15854]) ).
fof(f26326,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26320,f11577]) ).
fof(f26332,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26326,f11602]) ).
fof(f26338,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26332,f11607]) ).
fof(f26344,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26338,f15064]) ).
fof(f26350,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26344,f17696]) ).
fof(f26356,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26350,f11582]) ).
fof(f26362,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26356,f11597]) ).
fof(f26363,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)
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26362,f11612]) ).
fof(f26364,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)))
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26363,f15059]) ).
fof(f26365,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)))
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_demodulation,[],[f26364,f17116]) ).
fof(f26366,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)))
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_demodulation,[],[f26365,f15274]) ).
fof(f26367,plain,
( ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26366,f22531]) ).
fof(f26368,plain,
( ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_demodulation,[],[f26367,f17116]) ).
fof(f26369,plain,
( ~ m2_relset_1(k1_waybel34(sK1,sK2,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_demodulation,[],[f26368,f15274]) ).
fof(f26370,plain,
( $false
| spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(forward_subsumption_resolution,[],[f26369,f22532]) ).
fof(f26371,plain,
( spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(avatar_contradiction_clause,[],[f26370]) ).
cnf(s1,plain,
~ spl78_1,
inference(sat_conversion,[],[f11554]) ).
cnf(s2,plain,
( spl78_1
| ~ spl78_2 ),
inference(sat_conversion,[],[f11566]) ).
cnf(s3,plain,
spl78_3,
inference(sat_conversion,[],[f11573]) ).
cnf(s4,plain,
spl78_4,
inference(sat_conversion,[],[f11578]) ).
cnf(s5,plain,
spl78_5,
inference(sat_conversion,[],[f11583]) ).
cnf(s6,plain,
spl78_6,
inference(sat_conversion,[],[f11588]) ).
cnf(s7,plain,
spl78_7,
inference(sat_conversion,[],[f11593]) ).
cnf(s8,plain,
spl78_8,
inference(sat_conversion,[],[f11598]) ).
cnf(s9,plain,
spl78_9,
inference(sat_conversion,[],[f11603]) ).
cnf(s10,plain,
spl78_10,
inference(sat_conversion,[],[f11608]) ).
cnf(s11,plain,
spl78_11,
inference(sat_conversion,[],[f11613]) ).
cnf(s12,plain,
spl78_12,
inference(sat_conversion,[],[f13334]) ).
cnf(s13,plain,
spl78_13,
inference(sat_conversion,[],[f13339]) ).
cnf(s14,plain,
spl78_14,
inference(sat_conversion,[],[f15060]) ).
cnf(s15,plain,
spl78_15,
inference(sat_conversion,[],[f15065]) ).
cnf(s16,plain,
spl78_16,
inference(sat_conversion,[],[f15070]) ).
cnf(s17,plain,
spl78_17,
inference(sat_conversion,[],[f15075]) ).
cnf(s18,plain,
spl78_18,
inference(sat_conversion,[],[f19521]) ).
cnf(s20,plain,
spl78_20,
inference(sat_conversion,[],[f22364]) ).
cnf(s21,plain,
( ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| spl78_21 ),
inference(sat_conversion,[],[f22861]) ).
cnf(s38,plain,
( ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| spl78_39 ),
inference(sat_conversion,[],[f24683]) ).
cnf(s57,plain,
( spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18
| ~ spl78_20
| ~ spl78_21
| ~ spl78_39 ),
inference(sat_conversion,[],[f26371]) ).
cnf(s71,plain,
spl78_39,
inference(rat,[],[s38,s4,s20,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6,s5,s3]) ).
cnf(s77,plain,
spl78_21,
inference(rat,[],[s21,s4,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6,s5,s3]) ).
cnf(s84,plain,
spl78_2,
inference(rat,[],[s57,s71,s3,s20,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6,s5,s4,s77]) ).
cnf(s85,plain,
spl78_1,
inference(rat,[],[s2,s84]) ).
cnf(s86,plain,
$false,
inference(rat,[],[s1,s85]) ).
fof(f26372,plain,
$false,
inference(avatar_sat_refutation,[],[s86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT354+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Sep 27 14:59:58 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 13.71/3.27 % (2940580)Detected formulas, will run a generic FOF schedule.
% 13.71/3.27 % (2940591)dis-21_1_sil=8000:lcm=predicate:random_seed=100419890:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 13.71/3.27 % (2940590)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1761020036:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 13.71/3.27 % (2940585)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=2829993662:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 13.71/3.27 % (2940587)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=386789272:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 13.71/3.27 % (2940586)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=4147447104:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 13.71/3.27 % (2940589)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1417997538:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 13.71/3.27 % (2940588)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3143312954:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 13.71/3.27 % (2940591)Instruction limit reached!
% 13.71/3.27 % (2940591)------------------------------
% 13.71/3.27 % (2940591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940591)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940591)Termination reason: Instruction limit
% 13.71/3.27 % (2940591)Termination phase: Preprocessing 1
% 13.71/3.27 % (2940591)Time elapsed: 0.057 s
% 13.71/3.27 % (2940591)Peak memory usage: 100 MB
% 13.71/3.27 % (2940591)Instructions burned: 129 (million)
% 13.71/3.27 % (2940590)Instruction limit reached!
% 13.71/3.27 % (2940590)------------------------------
% 13.71/3.27 % (2940590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940590)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940590)Termination reason: Instruction limit
% 13.71/3.27 % (2940590)Termination phase: Property scanning
% 13.71/3.27 % (2940590)Time elapsed: 0.060 s
% 13.71/3.27 % (2940590)Peak memory usage: 99 MB
% 13.71/3.27 % (2940590)Instructions burned: 141 (million)
% 13.71/3.27 % (2940588)Refutation not found, incomplete strategy
% 13.71/3.27 % (2940588)------------------------------
% 13.71/3.27 % (2940588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940588)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940588)Termination reason: Refutation not found, incomplete strategy
% 13.71/3.27 % (2940588)Time elapsed: 0.061 s
% 13.71/3.27 % (2940588)Peak memory usage: 103 MB
% 13.71/3.27 % (2940588)Instructions burned: 76 (million)
% 13.71/3.27 % (2940589)Instruction limit reached!
% 13.71/3.27 % (2940589)------------------------------
% 13.71/3.27 % (2940589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940589)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940589)Termination reason: Instruction limit
% 13.71/3.27 % (2940589)Termination phase: Preprocessing 3
% 13.71/3.27 % (2940589)Time elapsed: 0.099 s
% 13.71/3.27 % (2940589)Peak memory usage: 102 MB
% 13.71/3.27 % (2940589)Instructions burned: 119 (million)
% 13.71/3.27 % (2940599)lrs+10_1_sil=8000:sp=occurrence:random_seed=1431702701:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 13.71/3.27 % (2940600)lrs+10_1_sil=32000:urr=on:br=off:random_seed=219158849:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 13.71/3.27 % (2940599)Instruction limit reached!
% 13.71/3.27 % (2940599)------------------------------
% 13.71/3.27 % (2940599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940599)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940599)Termination reason: Instruction limit
% 13.71/3.27 % (2940599)Termination phase: Saturation
% 13.71/3.27 % (2940599)Time elapsed: 0.101 s
% 13.71/3.27 % (2940599)Peak memory usage: 107 MB
% 13.71/3.27 % (2940599)Instructions burned: 287 (million)
% 13.71/3.27 % (2940601)lrs+1011_1_sil=32000:sp=occurrence:random_seed=100205570:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 13.71/3.27 % (2940600)Instruction limit reached!
% 13.71/3.27 % (2940600)------------------------------
% 13.71/3.27 % (2940600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940600)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940600)Termination reason: Instruction limit
% 13.71/3.27 % (2940600)Termination phase: SInE selection
% 13.71/3.27 % (2940600)Time elapsed: 0.073 s
% 13.71/3.27 % (2940600)Peak memory usage: 99 MB
% 13.71/3.27 % (2940600)Instructions burned: 157 (million)
% 13.71/3.27 % (2940588)------------------------------
% 13.71/3.27 % (2940588)------------------------------
% 13.71/3.27 % (2940604)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=1739284031:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 13.71/3.27 % (2940606)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1111785151:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 13.71/3.27 % (2940601)Instruction limit reached!
% 13.71/3.27 % (2940601)------------------------------
% 13.71/3.27 % (2940601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940601)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940601)Termination reason: Instruction limit
% 13.71/3.27 % (2940601)Termination phase: Saturation
% 13.71/3.27 % (2940601)Time elapsed: 0.190 s
% 13.71/3.27 % (2940601)Peak memory usage: 105 MB
% 13.71/3.27 % (2940601)Instructions burned: 327 (million)
% 13.71/3.27 % (2940607)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3380421586:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 13.71/3.27 % (2940604)Instruction limit reached!
% 13.71/3.27 % (2940604)------------------------------
% 13.71/3.27 % (2940604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940604)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940604)Termination reason: Instruction limit
% 13.71/3.27 % (2940604)Termination phase: Preprocessing 1
% 13.71/3.27 % (2940604)Time elapsed: 0.139 s
% 13.71/3.27 % (2940604)Peak memory usage: 100 MB
% 13.71/3.27 % (2940604)Instructions burned: 249 (million)
% 13.71/3.27 % (2940606)Instruction limit reached!
% 13.71/3.27 % (2940606)------------------------------
% 13.71/3.27 % (2940606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940606)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940606)Termination reason: Instruction limit
% 13.71/3.27 % (2940606)Termination phase: Saturation
% 13.71/3.27 % (2940606)Time elapsed: 0.124 s
% 13.71/3.27 % (2940606)Peak memory usage: 107 MB
% 13.71/3.27 % (2940606)Instructions burned: 297 (million)
% 13.71/3.27 % (2940611)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2264372231:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 13.71/3.27 % (2940613)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3568911540:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 13.71/3.27 % (2940612)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2387025438:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 13.71/3.27 % (2940613)Instruction limit reached!
% 13.71/3.27 % (2940613)------------------------------
% 13.71/3.27 % (2940613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940613)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940613)Termination reason: Instruction limit
% 13.71/3.27 % (2940613)Termination phase: Property scanning
% 13.71/3.27 % (2940613)Time elapsed: 0.027 s
% 13.71/3.27 % (2940613)Peak memory usage: 99 MB
% 13.71/3.27 % (2940613)Instructions burned: 117 (million)
% 13.71/3.27 % (2940611)Instruction limit reached!
% 13.71/3.27 % (2940611)------------------------------
% 13.71/3.27 % (2940611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940611)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940611)Termination reason: Instruction limit
% 13.71/3.27 % (2940611)Termination phase: Preprocessing 3
% 13.71/3.27 % (2940611)Time elapsed: 0.096 s
% 13.71/3.27 % (2940611)Peak memory usage: 103 MB
% 13.71/3.27 % (2940611)Instructions burned: 114 (million)
% 13.71/3.27 % (2940612)Instruction limit reached!
% 13.71/3.27 % (2940612)------------------------------
% 13.71/3.27 % (2940612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940612)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940612)Termination reason: Instruction limit
% 13.71/3.27 % (2940612)Termination phase: Preprocessing 2
% 13.71/3.27 % (2940612)Time elapsed: 0.103 s
% 13.71/3.27 % (2940612)Peak memory usage: 107 MB
% 13.71/3.27 % (2940612)Instructions burned: 127 (million)
% 13.71/3.27 % (2940617)lrs+10_1_sil=8000:sp=occurrence:random_seed=2913606279:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 13.71/3.27 % (2940618)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=760216529:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 13.71/3.27 % (2940619)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3113474591:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 13.71/3.27 % (2940618)Instruction limit reached!
% 13.71/3.27 % (2940618)------------------------------
% 13.71/3.27 % (2940618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940618)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940618)Termination reason: Instruction limit
% 13.71/3.27 % (2940618)Termination phase: Saturation
% 13.71/3.27 % (2940618)Time elapsed: 0.235 s
% 13.71/3.27 % (2940618)Peak memory usage: 107 MB
% 13.71/3.27 % (2940618)Instructions burned: 437 (million)
% 13.71/3.27 % (2940623)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3357099876:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 13.71/3.27 % (2940623)Instruction limit reached!
% 13.71/3.27 % (2940623)------------------------------
% 13.71/3.27 % (2940623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940623)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940623)Termination reason: Instruction limit
% 13.71/3.27 % (2940623)Termination phase: Property scanning
% 13.71/3.27 % (2940623)Time elapsed: 0.098 s
% 13.71/3.27 % (2940623)Peak memory usage: 103 MB
% 13.71/3.27 % (2940623)Instructions burned: 134 (million)
% 13.71/3.27 % (2940617)Instruction limit reached!
% 13.71/3.27 % (2940617)------------------------------
% 13.71/3.27 % (2940617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.71/3.27 % (2940617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.71/3.27 % (2940617)CaDiCaL version: 2.1.3
% 13.71/3.27 % (2940617)Termination reason: Instruction limit
% 13.71/3.27 % (2940617)Termination phase: Saturation
% 13.71/3.27 % (2940617)Time elapsed: 0.539 s
% 13.71/3.27 % (2940617)Peak memory usage: 118 MB
% 13.71/3.27 % (2940617)Instructions burned: 907 (million)
% 13.71/3.27 % (2940625)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=515594646:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 13.71/3.27 % (2940626)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3919964296:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 13.71/3.27 % (2940587)First to succeed.
% 13.71/3.27 % (2940587)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2940580"
% 13.71/3.27 % (2940587)Refutation found. Thanks to Tanya!
% 13.71/3.27 % SZS status Theorem for theBenchmark
% 13.71/3.27 % SZS output start Proof for theBenchmark
% See solution above
% 14.29/3.47 % (2940587)------------------------------
% 14.29/3.47 % (2940587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/3.47 % (2940587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/3.47 % (2940587)CaDiCaL version: 2.1.3
% 14.29/3.47 % (2940587)Termination reason: Refutation
% 14.29/3.47 % (2940587)Time elapsed: 1.531 s
% 14.29/3.47 % (2940587)Peak memory usage: 166 MB
% 14.29/3.47 % (2940587)Instructions burned: 4109 (million)
% 14.29/3.47 % (2940587)------------------------------
% 14.29/3.47 % (2940587)------------------------------
% 14.29/3.47 % (2940580)Success in time 2.43 s
% 14.29/3.48 % Vampire exiting
%------------------------------------------------------------------------------