%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT355+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:47:15 AM UTC 2026
% Result : Theorem 12.34s 9.24s
% Output : Refutation 19.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 39
% Syntax : Number of formulae : 383 ( 61 unt; 21 def)
% Number of atoms : 4357 ( 82 equ)
% Maximal formula atoms : 40 ( 11 avg)
% Number of connectives : 7524 (3550 ~;3576 |; 315 &)
% ( 36 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 12 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 : 235 ( 0 sgn 229 !; 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(f10315,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel34) ).
fof(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(f10337,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel34) ).
fof(f10339,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) = k2_waybel34(X1,X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_waybel34) ).
fof(f10340,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2)) = k2_waybel34(X1,X0,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f10339]) ).
fof(f10411,plain,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
inference(pure_predicate_removal,[],[f10337]) ).
fof(f10421,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f10315]) ).
fof(f10422,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k2_waybel34(X0,X1,X2))
& v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(flattening,[],[f10421]) ).
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(ennf_transformation,[],[f10327]) ).
fof(f10436,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,[],[f10435]) ).
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(ennf_transformation,[],[f10328]) ).
fof(f10438,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,[],[f10437]) ).
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(ennf_transformation,[],[f10335]) ).
fof(f10452,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,[],[f10451]) ).
fof(f10455,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f10411]) ).
fof(f10456,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v19_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v21_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v4_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f10455]) ).
fof(f10459,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_waybel34(X1,X0,X2) != k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10340]) ).
fof(f10460,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_waybel34(X1,X0,X2) != k1_waybel34(k7_lattice3(X0),k7_lattice3(X1),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v18_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f10459]) ).
fof(f10463,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6865]) ).
fof(f10464,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10463]) ).
fof(f10468,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(f10469,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,[],[f10468]) ).
fof(f10472,plain,
! [X0] :
( ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8961]) ).
fof(f10473,plain,
! [X0] :
( ( v3_lattice3(X0)
<=> v3_lattice3(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10472]) ).
fof(f10485,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(f10486,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,[],[f10485]) ).
fof(f10487,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(f10488,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10487]) ).
fof(f10489,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(f10490,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10489]) ).
fof(f10491,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(f10492,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f10491]) ).
fof(f10493,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8837]) ).
fof(f10494,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6941]) ).
fof(f10495,plain,
! [X0] :
( ( v1_lattice3(X0)
<=> v2_lattice3(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6890]) ).
fof(f10567,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(f10568,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,[],[f10567]) ).
fof(f10766,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,[],[f10436]) ).
fof(f10767,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,[],[f10438]) ).
fof(f10768,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3))
& v1_funct_1(sK3)
& v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v18_waybel_0(sK3,sK1,sK2)
& m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v1_lattice3(sK2)
& v2_lattice3(sK2)
& v3_lattice3(sK2)
& l1_orders_2(sK2)
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& v1_lattice3(sK1)
& v2_lattice3(sK1)
& v3_lattice3(sK1)
& l1_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f10460]) ).
fof(f10771,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(f10778,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,[],[f10473]) ).
fof(f10784,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,[],[f10495]) ).
fof(f10817,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,[],[f10568]) ).
fof(f10871,plain,
! [X2,X0,X1] :
( m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10422]) ).
fof(f10872,plain,
! [X2,X0,X1] :
( v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10422]) ).
fof(f10873,plain,
! [X2,X0,X1] :
( v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f10422]) ).
fof(f10909,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,[],[f10766]) ).
fof(f10910,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10767]) ).
fof(f10938,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,[],[f10452]) ).
fof(f10952,plain,
! [X2,X0,X1] :
( v17_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v18_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f10456]) ).
fof(f10958,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f10768]) ).
fof(f10959,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f10768]) ).
fof(f10960,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f10768]) ).
fof(f10961,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f10768]) ).
fof(f10962,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f10768]) ).
fof(f10963,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f10768]) ).
fof(f10964,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f10768]) ).
fof(f10965,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f10768]) ).
fof(f10966,plain,
v3_lattice3(sK2),
inference(cnf_transformation,[],[f10768]) ).
fof(f10967,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f10768]) ).
fof(f10968,plain,
v1_lattice3(sK2),
inference(cnf_transformation,[],[f10768]) ).
fof(f10969,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f10768]) ).
fof(f10970,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f10768]) ).
fof(f10971,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f10768]) ).
fof(f10972,plain,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f10768]) ).
fof(f10973,plain,
v18_waybel_0(sK3,sK1,sK2),
inference(cnf_transformation,[],[f10768]) ).
fof(f10974,plain,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(cnf_transformation,[],[f10768]) ).
fof(f10975,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f10768]) ).
fof(f10976,plain,
k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3)),
inference(cnf_transformation,[],[f10768]) ).
fof(f10982,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f10771]) ).
fof(f10990,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10464]) ).
fof(f11006,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,[],[f10469]) ).
fof(f11007,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,[],[f10469]) ).
fof(f11025,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10778]) ).
fof(f11044,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10486]) ).
fof(f11047,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10488]) ).
fof(f11049,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10490]) ).
fof(f11051,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10492]) ).
fof(f11053,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10493]) ).
fof(f11054,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10494]) ).
fof(f11056,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f10784]) ).
fof(f11185,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,[],[f10817]) ).
fof(f11490,plain,
! [X2,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,k2_waybel34(X0,X1,X2),X2),X0,X1)
| ~ v1_funct_1(k2_waybel34(X0,X1,X2))
| ~ v1_funct_2(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(k2_waybel34(X0,X1,X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X1)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f10910]) ).
fof(f11506,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,[],[f11185]) ).
fof(f11507,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,[],[f11506]) ).
fof(f11549,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,[],[f11507]) ).
fof(f11555,definition,
( spl78_1
<=> k2_waybel34(sK2,sK1,sK3) = k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl78_1])],[avatar_definition]) ).
fof(f11557,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),k3_waybel34(sK1,sK2,sK3))
| spl78_1 ),
inference(avatar_component_clause,[],[f11555]) ).
fof(f11558,plain,
~ spl78_1,
inference(avatar_split_clause,[],[f10976,f11555]) ).
fof(f11559,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl78_1 ),
inference(superposition,[],[f11557,f10938]) ).
fof(f11561,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11559,f10975]) ).
fof(f11562,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11561,f10974]) ).
fof(f11563,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11562,f10972]) ).
fof(f11564,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| ~ l1_orders_2(sK1)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11563,f10965]) ).
fof(f11565,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f11564,f10958]) ).
fof(f11567,definition,
( spl78_2
<=> v1_funct_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl78_2])],[avatar_definition]) ).
fof(f11569,plain,
( v1_funct_1(sK3)
| ~ spl78_2 ),
inference(avatar_component_clause,[],[f11567]) ).
fof(f11570,plain,
spl78_2,
inference(avatar_split_clause,[],[f10975,f11567]) ).
fof(f11572,definition,
( spl78_3
<=> v2_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_3])],[avatar_definition]) ).
fof(f11574,plain,
( v2_orders_2(sK2)
| ~ spl78_3 ),
inference(avatar_component_clause,[],[f11572]) ).
fof(f11575,plain,
spl78_3,
inference(avatar_split_clause,[],[f10971,f11572]) ).
fof(f11577,definition,
( spl78_4
<=> v2_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_4])],[avatar_definition]) ).
fof(f11579,plain,
( v2_orders_2(sK1)
| ~ spl78_4 ),
inference(avatar_component_clause,[],[f11577]) ).
fof(f11580,plain,
spl78_4,
inference(avatar_split_clause,[],[f10964,f11577]) ).
fof(f11582,definition,
( spl78_5
<=> k2_waybel34(sK2,sK1,sK3) = k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3) ),
introduced(definition,[new_symbols(definition,[spl78_5])],[avatar_definition]) ).
fof(f11584,plain,
( k2_waybel34(sK2,sK1,sK3) != k1_waybel34(k7_lattice3(sK1),k7_lattice3(sK2),sK3)
| spl78_5 ),
inference(avatar_component_clause,[],[f11582]) ).
fof(f11585,plain,
( ~ spl78_5
| spl78_1 ),
inference(avatar_split_clause,[],[f11565,f11555,f11582]) ).
fof(f11586,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| spl78_5 ),
inference(superposition,[],[f11584,f10909]) ).
fof(f11587,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| ~ spl78_2
| spl78_5 ),
inference(forward_subsumption_resolution,[],[f11586,f11569]) ).
fof(f11589,definition,
( spl78_6
<=> v2_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_6])],[avatar_definition]) ).
fof(f11591,plain,
( v2_lattice3(sK1)
| ~ spl78_6 ),
inference(avatar_component_clause,[],[f11589]) ).
fof(f11592,plain,
spl78_6,
inference(avatar_split_clause,[],[f10960,f11589]) ).
fof(f11594,definition,
( spl78_7
<=> v2_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_7])],[avatar_definition]) ).
fof(f11596,plain,
( v2_lattice3(sK2)
| ~ spl78_7 ),
inference(avatar_component_clause,[],[f11594]) ).
fof(f11597,plain,
spl78_7,
inference(avatar_split_clause,[],[f10967,f11594]) ).
fof(f11599,definition,
( spl78_8
<=> v3_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_8])],[avatar_definition]) ).
fof(f11601,plain,
( v3_orders_2(sK1)
| ~ spl78_8 ),
inference(avatar_component_clause,[],[f11599]) ).
fof(f11602,plain,
spl78_8,
inference(avatar_split_clause,[],[f10963,f11599]) ).
fof(f11604,definition,
( spl78_9
<=> v3_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_9])],[avatar_definition]) ).
fof(f11606,plain,
( v3_orders_2(sK2)
| ~ spl78_9 ),
inference(avatar_component_clause,[],[f11604]) ).
fof(f11607,plain,
spl78_9,
inference(avatar_split_clause,[],[f10970,f11604]) ).
fof(f11609,definition,
( spl78_10
<=> v4_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_10])],[avatar_definition]) ).
fof(f11611,plain,
( v4_orders_2(sK2)
| ~ spl78_10 ),
inference(avatar_component_clause,[],[f11609]) ).
fof(f11612,plain,
spl78_10,
inference(avatar_split_clause,[],[f10969,f11609]) ).
fof(f11614,definition,
( spl78_11
<=> v4_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_11])],[avatar_definition]) ).
fof(f11616,plain,
( v4_orders_2(sK1)
| ~ spl78_11 ),
inference(avatar_component_clause,[],[f11614]) ).
fof(f11617,plain,
spl78_11,
inference(avatar_split_clause,[],[f10962,f11614]) ).
fof(f11729,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ spl78_3 ),
inference(resolution,[],[f11574,f11051]) ).
fof(f12206,plain,
( v2_orders_2(k7_lattice3(sK2))
| ~ spl78_3 ),
inference(forward_subsumption_resolution,[],[f11729,f10965]) ).
fof(f12500,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| ~ spl78_2
| ~ spl78_3
| spl78_5 ),
inference(backward_subsumption_resolution,[],[f11587,f12206]) ).
fof(f13349,definition,
( spl78_12
<=> v1_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_12])],[avatar_definition]) ).
fof(f13351,plain,
( v1_lattice3(sK1)
| ~ spl78_12 ),
inference(avatar_component_clause,[],[f13349]) ).
fof(f13352,plain,
spl78_12,
inference(avatar_split_clause,[],[f10961,f13349]) ).
fof(f13354,definition,
( spl78_13
<=> v1_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_13])],[avatar_definition]) ).
fof(f13356,plain,
( v1_lattice3(sK2)
| ~ spl78_13 ),
inference(avatar_component_clause,[],[f13354]) ).
fof(f13357,plain,
spl78_13,
inference(avatar_split_clause,[],[f10968,f13354]) ).
fof(f13469,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ l1_orders_2(sK1)
| ~ spl78_4 ),
inference(resolution,[],[f11579,f11051]) ).
fof(f13946,plain,
( v2_orders_2(k7_lattice3(sK1))
| ~ spl78_4 ),
inference(forward_subsumption_resolution,[],[f13469,f10958]) ).
fof(f14241,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ 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_3
| ~ spl78_4
| spl78_5 ),
inference(backward_subsumption_resolution,[],[f12500,f13946]) ).
fof(f15089,definition,
( spl78_14
<=> l1_orders_2(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_14])],[avatar_definition]) ).
fof(f15091,plain,
( l1_orders_2(sK1)
| ~ spl78_14 ),
inference(avatar_component_clause,[],[f15089]) ).
fof(f15092,plain,
spl78_14,
inference(avatar_split_clause,[],[f10958,f15089]) ).
fof(f15094,definition,
( spl78_15
<=> l1_orders_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_15])],[avatar_definition]) ).
fof(f15096,plain,
( l1_orders_2(sK2)
| ~ spl78_15 ),
inference(avatar_component_clause,[],[f15094]) ).
fof(f15097,plain,
spl78_15,
inference(avatar_split_clause,[],[f10965,f15094]) ).
fof(f15099,definition,
( spl78_16
<=> v3_lattice3(sK1) ),
introduced(definition,[new_symbols(definition,[spl78_16])],[avatar_definition]) ).
fof(f15101,plain,
( v3_lattice3(sK1)
| ~ spl78_16 ),
inference(avatar_component_clause,[],[f15099]) ).
fof(f15102,plain,
spl78_16,
inference(avatar_split_clause,[],[f10959,f15099]) ).
fof(f15222,plain,
( ~ v3_struct_0(sK2)
| ~ v2_lattice3(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15096,f10990]) ).
fof(f15275,plain,
( v3_lattice3(k7_lattice3(sK2))
| ~ v3_lattice3(sK2)
| v3_struct_0(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15096,f11025]) ).
fof(f15294,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15096,f11044]) ).
fof(f15297,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15096,f11047]) ).
fof(f15299,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15096,f11049]) ).
fof(f15303,plain,
( u1_struct_0(sK2) = u1_struct_0(k7_lattice3(sK2))
| ~ spl78_15 ),
inference(resolution,[],[f15096,f11053]) ).
fof(f15304,plain,
( l1_orders_2(k7_lattice3(sK2))
| ~ spl78_15 ),
inference(resolution,[],[f15096,f11054]) ).
fof(f15306,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ spl78_15 ),
inference(resolution,[],[f15096,f11056]) ).
fof(f15854,plain,
( v2_lattice3(k7_lattice3(sK2))
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15306,f13356]) ).
fof(f15855,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v2_lattice3(k7_lattice3(sK2))
| ~ 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_3
| ~ spl78_4
| spl78_5
| ~ spl78_15 ),
inference(backward_subsumption_resolution,[],[f14241,f15304]) ).
fof(f15857,plain,
( v3_orders_2(k7_lattice3(sK2))
| ~ spl78_9
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15299,f11606]) ).
fof(f15858,plain,
( v4_orders_2(k7_lattice3(sK2))
| ~ spl78_10
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15297,f11611]) ).
fof(f15860,plain,
( v1_lattice3(k7_lattice3(sK2))
| ~ spl78_7
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15294,f11596]) ).
fof(f15866,plain,
( v3_lattice3(k7_lattice3(sK2))
| v3_struct_0(sK2)
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15275,f10966]) ).
fof(f15883,plain,
( ~ v3_struct_0(sK2)
| ~ spl78_7
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15222,f11596]) ).
fof(f15918,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ 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_3
| ~ spl78_4
| spl78_5
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15855,f15854]) ).
fof(f16233,plain,
( v3_lattice3(k7_lattice3(sK2))
| ~ spl78_7
| ~ spl78_15 ),
inference(backward_subsumption_resolution,[],[f15866,f15883]) ).
fof(f16240,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(k7_lattice3(sK2))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| spl78_5
| ~ spl78_9
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f15918,f15857]) ).
fof(f16277,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f16240,f16233]) ).
fof(f16297,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK1))
| ~ l1_orders_2(k7_lattice3(sK1)) )
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f16277,f15858]) ).
fof(f16307,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(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_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f16297,f15860]) ).
fof(f16317,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(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_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_demodulation,[],[f16307,f15303]) ).
fof(f16327,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v3_orders_2(k7_lattice3(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_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_demodulation,[],[f16317,f15303]) ).
fof(f16333,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_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_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_demodulation,[],[f16327,f15303]) ).
fof(f16339,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_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_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15 ),
inference(forward_demodulation,[],[f16333,f15303]) ).
fof(f16662,definition,
( spl78_17
<=> v3_lattice3(sK2) ),
introduced(definition,[new_symbols(definition,[spl78_17])],[avatar_definition]) ).
fof(f16664,plain,
( v3_lattice3(sK2)
| ~ spl78_17 ),
inference(avatar_component_clause,[],[f16662]) ).
fof(f16665,plain,
spl78_17,
inference(avatar_split_clause,[],[f10966,f16662]) ).
fof(f16785,plain,
( ~ v3_struct_0(sK1)
| ~ v2_lattice3(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15091,f10990]) ).
fof(f16838,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ v3_lattice3(sK1)
| v3_struct_0(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15091,f11025]) ).
fof(f16857,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15091,f11044]) ).
fof(f16860,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ v4_orders_2(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15091,f11047]) ).
fof(f16862,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ v3_orders_2(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15091,f11049]) ).
fof(f16866,plain,
( u1_struct_0(sK1) = u1_struct_0(k7_lattice3(sK1))
| ~ spl78_14 ),
inference(resolution,[],[f15091,f11053]) ).
fof(f16867,plain,
( l1_orders_2(k7_lattice3(sK1))
| ~ spl78_14 ),
inference(resolution,[],[f15091,f11054]) ).
fof(f16869,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ v1_lattice3(sK1)
| ~ spl78_14 ),
inference(resolution,[],[f15091,f11056]) ).
fof(f17417,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ spl78_12
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f16869,f13351]) ).
fof(f17419,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_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_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15 ),
inference(backward_subsumption_resolution,[],[f16339,f16867]) ).
fof(f17420,plain,
( v3_orders_2(k7_lattice3(sK1))
| ~ spl78_8
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f16862,f11601]) ).
fof(f17421,plain,
( v4_orders_2(k7_lattice3(sK1))
| ~ spl78_11
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f16860,f11616]) ).
fof(f17423,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ spl78_6
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f16857,f11591]) ).
fof(f17429,plain,
( v3_lattice3(k7_lattice3(sK1))
| v3_struct_0(sK1)
| ~ spl78_14
| ~ spl78_16 ),
inference(forward_subsumption_resolution,[],[f16838,f15101]) ).
fof(f17446,plain,
( ~ v3_struct_0(sK1)
| ~ spl78_6
| ~ spl78_14 ),
inference(forward_subsumption_resolution,[],[f16785,f11591]) ).
fof(f17482,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_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_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f17419,f17417]) ).
fof(f17796,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ spl78_6
| ~ spl78_14
| ~ spl78_16 ),
inference(backward_subsumption_resolution,[],[f17429,f17446]) ).
fof(f17804,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v3_lattice3(k7_lattice3(sK1))
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| spl78_5
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15 ),
inference(forward_subsumption_resolution,[],[f17482,f17420]) ).
fof(f17841,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK1))
| ~ v1_lattice3(k7_lattice3(sK1)) )
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| spl78_5
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_16 ),
inference(forward_subsumption_resolution,[],[f17804,f17796]) ).
fof(f17861,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(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 ),
inference(forward_subsumption_resolution,[],[f17841,f17421]) ).
fof(f17871,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ 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 ),
inference(forward_subsumption_resolution,[],[f17861,f17423]) ).
fof(f17881,plain,
( ! [X0] :
( ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ 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 ),
inference(forward_demodulation,[],[f17871,f16866]) ).
fof(f17891,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ 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 ),
inference(forward_subsumption_resolution,[],[f17881,f10972]) ).
fof(f17897,plain,
( ! [X0] :
( ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ 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 ),
inference(forward_demodulation,[],[f17891,f16866]) ).
fof(f17903,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ 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 ),
inference(forward_subsumption_resolution,[],[f17897,f10974]) ).
fof(f17908,plain,
( ! [X0] :
( ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(k7_lattice3(sK1)))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ 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 ),
inference(forward_demodulation,[],[f17903,f16866]) ).
fof(f17909,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0)
| ~ v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2)) )
| ~ 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 ),
inference(forward_demodulation,[],[f17908,f16866]) ).
fof(f18577,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_2 ),
inference(resolution,[],[f11569,f11006]) ).
fof(f18578,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_2 ),
inference(resolution,[],[f11569,f11007]) ).
fof(f19569,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(f19571,plain,
( v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_18 ),
inference(avatar_component_clause,[],[f19569]) ).
fof(f19572,plain,
spl78_18,
inference(avatar_split_clause,[],[f10974,f19569]) ).
fof(f19576,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_18 ),
inference(resolution,[],[f19571,f10871]) ).
fof(f19577,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_18 ),
inference(resolution,[],[f19571,f10872]) ).
fof(f19578,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_18 ),
inference(resolution,[],[f19571,f10873]) ).
fof(f19612,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,[],[f19571,f10938]) ).
fof(f19626,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_18 ),
inference(resolution,[],[f19571,f10952]) ).
fof(f19751,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK2)
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_18 ),
inference(resolution,[],[f19571,f11490]) ).
fof(f19813,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_lattice3(sK1)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19751,f16664]) ).
fof(f19935,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_4
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19626,f11579]) ).
fof(f19949,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_2
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19612,f11569]) ).
fof(f19983,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19578,f11574]) ).
fof(f19984,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19577,f11574]) ).
fof(f19985,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19576,f11574]) ).
fof(f20016,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19813,f15101]) ).
fof(f20138,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_4
| ~ spl78_8
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19935,f11601]) ).
fof(f20152,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ l1_orders_2(sK2)
| ~ l1_orders_2(sK1)
| ~ spl78_2
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19949,f10972]) ).
fof(f20186,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19983,f11606]) ).
fof(f20187,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19984,f11606]) ).
fof(f20188,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f19985,f11606]) ).
fof(f20218,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20016,f10973]) ).
fof(f20340,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_4
| ~ spl78_8
| ~ spl78_11
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20138,f11616]) ).
fof(f20354,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ l1_orders_2(sK1)
| ~ spl78_2
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20152,f15096]) ).
fof(f20388,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_10
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20186,f11611]) ).
fof(f20389,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_10
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20187,f11611]) ).
fof(f20390,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_10
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20188,f11611]) ).
fof(f20420,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20218,f11569]) ).
fof(f20538,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_lattice3(sK1)
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_4
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20340,f13351]) ).
fof(f20552,plain,
( sK3 = k3_waybel34(sK1,sK2,sK3)
| ~ spl78_2
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20354,f15091]) ).
fof(f20585,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20388,f13356]) ).
fof(f20586,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20389,f13356]) ).
fof(f20587,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20390,f13356]) ).
fof(f20610,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20420,f10972]) ).
fof(f20719,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20538,f11591]) ).
fof(f20764,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20585,f11596]) ).
fof(f20765,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20586,f11596]) ).
fof(f20766,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20587,f11596]) ).
fof(f20789,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_4
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20610,f11579]) ).
fof(f20896,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20719,f15101]) ).
fof(f20941,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20764,f15096]) ).
fof(f20942,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20765,f15096]) ).
fof(f20943,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20766,f15096]) ).
fof(f20957,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_4
| ~ spl78_8
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20789,f11601]) ).
fof(f21039,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20896,f15091]) ).
fof(f21082,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20941,f11579]) ).
fof(f21083,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20942,f11579]) ).
fof(f21084,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20943,f11579]) ).
fof(f21098,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_4
| ~ spl78_8
| ~ spl78_11
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f20957,f11616]) ).
fof(f21172,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21039,f11574]) ).
fof(f21215,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21082,f11601]) ).
fof(f21216,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21083,f11601]) ).
fof(f21217,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK1)
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21084,f11601]) ).
fof(f21228,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_4
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21098,f13351]) ).
fof(f21298,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21172,f11606]) ).
fof(f21341,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21215,f11616]) ).
fof(f21342,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21216,f11616]) ).
fof(f21343,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK1)
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21217,f11616]) ).
fof(f21353,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21228,f11591]) ).
fof(f21423,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21298,f11611]) ).
fof(f21466,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21341,f13351]) ).
fof(f21467,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21342,f13351]) ).
fof(f21468,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21343,f13351]) ).
fof(f21478,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21353,f15091]) ).
fof(f21537,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_16
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21423,f13356]) ).
fof(f21580,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21466,f11591]) ).
fof(f21581,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21467,f11591]) ).
fof(f21582,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_15
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21468,f11591]) ).
fof(f21592,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21478,f11574]) ).
fof(f21647,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21537,f11596]) ).
fof(f21690,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21580,f15091]) ).
fof(f21691,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21581,f15091]) ).
fof(f21692,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_1(sK3)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21582,f15091]) ).
fof(f21700,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21592,f11606]) ).
fof(f21725,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ l1_orders_2(sK2)
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21647,f16664]) ).
fof(f21768,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21690,f11569]) ).
fof(f21769,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21691,f11569]) ).
fof(f21770,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21692,f11569]) ).
fof(f21778,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_14
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21700,f11611]) ).
fof(f21801,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(sK3)
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21725,f15096]) ).
fof(f21848,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_16
| ~ spl78_17
| ~ spl78_18 ),
inference(forward_subsumption_resolution,[],[f21778,f13356]) ).
fof(f21893,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v18_waybel_0(sK3,sK1,sK2)
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21801,f11569]) ).
fof(f21936,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21848,f11596]) ).
fof(f21956,plain,
( v17_waybel_0(k3_waybel34(sK1,sK2,sK3),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21893,f10973]) ).
fof(f21992,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21936,f15096]) ).
fof(f22004,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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,[],[f21956,f20552]) ).
fof(f22443,definition,
( spl78_22
<=> m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl78_22])],[avatar_definition]) ).
fof(f22445,plain,
( m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_22 ),
inference(avatar_component_clause,[],[f22443]) ).
fof(f22446,plain,
spl78_22,
inference(avatar_split_clause,[],[f10972,f22443]) ).
fof(f22588,plain,
( m1_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ spl78_22 ),
inference(resolution,[],[f22445,f10982]) ).
fof(f22606,plain,
( v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_22 ),
inference(backward_subsumption_resolution,[],[f21768,f22588]) ).
fof(f22607,plain,
( v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_22 ),
inference(backward_subsumption_resolution,[],[f21769,f22588]) ).
fof(f22608,plain,
( m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_22 ),
inference(backward_subsumption_resolution,[],[f21770,f22588]) ).
fof(f22631,plain,
( v17_waybel_0(sK3,k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22 ),
inference(backward_subsumption_resolution,[],[f22004,f22588]) ).
fof(f22658,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22 ),
inference(backward_subsumption_resolution,[],[f21992,f22606]) ).
fof(f22660,plain,
( ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ 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_22 ),
inference(backward_subsumption_resolution,[],[f17909,f22631]) ).
fof(f22673,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22 ),
inference(forward_subsumption_resolution,[],[f22658,f22607]) ).
fof(f22686,plain,
( v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22 ),
inference(forward_subsumption_resolution,[],[f22673,f22608]) ).
fof(f22734,definition,
( spl78_23
<=> ! [X0] :
( ~ v1_funct_2(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(X0,u1_struct_0(sK2),u1_struct_0(sK1))
| k2_waybel34(sK2,sK1,sK3) != X0
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl78_23])],[avatar_definition]) ).
fof(f22735,plain,
( ! [X0] :
( k2_waybel34(sK2,sK1,sK3) != 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))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,X0),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(X0) )
| ~ spl78_23 ),
inference(avatar_component_clause,[],[f22734]) ).
fof(f22736,plain,
( spl78_23
| ~ 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_22 ),
inference(avatar_split_clause,[],[f22660,f22443,f19569,f16662,f15099,f15094,f15089,f13354,f13349,f11614,f11609,f11604,f11599,f11594,f11589,f11582,f11577,f11572,f11567,f22734]) ).
fof(f22738,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,k2_waybel34(sK2,sK1,sK3)),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ spl78_23 ),
inference(equality_resolution,[],[f22735]) ).
fof(f22739,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,k2_waybel34(sK2,sK1,sK3)),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_22
| ~ spl78_23 ),
inference(forward_subsumption_resolution,[],[f22738,f22608]) ).
fof(f22741,plain,
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,k2_waybel34(sK2,sK1,sK3)),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_22
| ~ spl78_23 ),
inference(forward_subsumption_resolution,[],[f22739,f22607]) ).
fof(f22743,plain,
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,k2_waybel34(sK2,sK1,sK3)),k7_lattice3(sK1),k7_lattice3(sK2))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_22
| ~ spl78_23 ),
inference(forward_subsumption_resolution,[],[f22741,f22606]) ).
fof(f22761,definition,
( spl78_24
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,k2_waybel34(sK2,sK1,sK3)),k7_lattice3(sK1),k7_lattice3(sK2)) ),
introduced(definition,[new_symbols(definition,[spl78_24])],[avatar_definition]) ).
fof(f22763,plain,
( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(sK1),k7_lattice3(sK2),sK3,k2_waybel34(sK2,sK1,sK3)),k7_lattice3(sK1),k7_lattice3(sK2))
| spl78_24 ),
inference(avatar_component_clause,[],[f22761]) ).
fof(f22764,plain,
( ~ spl78_24
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_22
| ~ spl78_23 ),
inference(avatar_split_clause,[],[f22743,f22734,f22443,f19569,f15094,f15089,f13354,f13349,f11614,f11609,f11604,f11599,f11594,f11589,f11577,f11572,f11567,f22761]) ).
fof(f23494,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| spl78_24 ),
inference(resolution,[],[f22763,f11549]) ).
fof(f23519,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(sK3)
| ~ m2_relset_1(sK3,u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK2)))
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23494,f18578]) ).
fof(f23532,plain,
( ~ v3_waybel_1(k1_waybel_1(sK2,sK1,k2_waybel34(sK2,sK1,sK3),sK3),sK2,sK1)
| ~ v1_funct_1(sK3)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23519,f18577]) ).
fof(f23545,plain,
( ~ v1_funct_1(sK3)
| ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23532,f22686]) ).
fof(f23557,plain,
( ~ v1_funct_1(k2_waybel34(sK2,sK1,sK3))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23545,f11569]) ).
fof(f23569,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23557,f22606]) ).
fof(f23581,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23569,f19571]) ).
fof(f23593,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23581,f22445]) ).
fof(f23605,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23593,f22607]) ).
fof(f23617,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23605,f22608]) ).
fof(f23629,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23617,f17446]) ).
fof(f23641,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23629,f11579]) ).
fof(f23653,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v4_orders_2(sK1)
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23641,f11601]) ).
fof(f23665,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK1)
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23653,f11616]) ).
fof(f23677,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23665,f15091]) ).
fof(f23689,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23677,f15883]) ).
fof(f23700,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23689,f11574]) ).
fof(f23711,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ v4_orders_2(sK2)
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23700,f11606]) ).
fof(f23722,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK2)
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23711,f11611]) ).
fof(f23733,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23722,f15096]) ).
fof(f23743,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_demodulation,[],[f23733,f16866]) ).
fof(f23751,plain,
( ~ v1_funct_2(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_demodulation,[],[f23743,f15303]) ).
fof(f23757,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(k7_lattice3(sK1)))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23751,f22607]) ).
fof(f23763,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(k7_lattice3(sK2)),u1_struct_0(sK1))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_demodulation,[],[f23757,f16866]) ).
fof(f23769,plain,
( ~ m2_relset_1(k2_waybel34(sK2,sK1,sK3),u1_struct_0(sK2),u1_struct_0(sK1))
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_demodulation,[],[f23763,f15303]) ).
fof(f23775,plain,
( $false
| ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(forward_subsumption_resolution,[],[f23769,f22608]) ).
fof(f23776,plain,
( ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(avatar_contradiction_clause,[],[f23775]) ).
cnf(s1,plain,
~ spl78_1,
inference(sat_conversion,[],[f11558]) ).
cnf(s2,plain,
spl78_2,
inference(sat_conversion,[],[f11570]) ).
cnf(s3,plain,
spl78_3,
inference(sat_conversion,[],[f11575]) ).
cnf(s4,plain,
spl78_4,
inference(sat_conversion,[],[f11580]) ).
cnf(s5,plain,
( spl78_1
| ~ spl78_5 ),
inference(sat_conversion,[],[f11585]) ).
cnf(s6,plain,
spl78_6,
inference(sat_conversion,[],[f11592]) ).
cnf(s7,plain,
spl78_7,
inference(sat_conversion,[],[f11597]) ).
cnf(s8,plain,
spl78_8,
inference(sat_conversion,[],[f11602]) ).
cnf(s9,plain,
spl78_9,
inference(sat_conversion,[],[f11607]) ).
cnf(s10,plain,
spl78_10,
inference(sat_conversion,[],[f11612]) ).
cnf(s11,plain,
spl78_11,
inference(sat_conversion,[],[f11617]) ).
cnf(s12,plain,
spl78_12,
inference(sat_conversion,[],[f13352]) ).
cnf(s13,plain,
spl78_13,
inference(sat_conversion,[],[f13357]) ).
cnf(s14,plain,
spl78_14,
inference(sat_conversion,[],[f15092]) ).
cnf(s15,plain,
spl78_15,
inference(sat_conversion,[],[f15097]) ).
cnf(s16,plain,
spl78_16,
inference(sat_conversion,[],[f15102]) ).
cnf(s17,plain,
spl78_17,
inference(sat_conversion,[],[f16665]) ).
cnf(s18,plain,
spl78_18,
inference(sat_conversion,[],[f19572]) ).
cnf(s21,plain,
spl78_22,
inference(sat_conversion,[],[f22446]) ).
cnf(s22,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_22
| spl78_23 ),
inference(sat_conversion,[],[f22736]) ).
cnf(s23,plain,
( ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ spl78_6
| ~ spl78_7
| ~ spl78_8
| ~ spl78_9
| ~ spl78_10
| ~ spl78_11
| ~ spl78_12
| ~ spl78_13
| ~ spl78_14
| ~ spl78_15
| ~ spl78_18
| ~ spl78_22
| ~ spl78_23
| ~ spl78_24 ),
inference(sat_conversion,[],[f22764]) ).
cnf(s26,plain,
( ~ spl78_2
| ~ spl78_3
| ~ spl78_4
| ~ 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_22
| spl78_24 ),
inference(sat_conversion,[],[f23776]) ).
cnf(s28,plain,
spl78_24,
inference(rat,[],[s26,s3,s21,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6,s4,s2]) ).
cnf(s29,plain,
~ spl78_23,
inference(rat,[],[s23,s28,s3,s21,s18,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6,s4,s2]) ).
cnf(s30,plain,
spl78_5,
inference(rat,[],[s22,s29,s21,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s6,s3,s4,s2]) ).
cnf(s32,plain,
spl78_1,
inference(rat,[],[s5,s30]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s1,s32]) ).
fof(f23784,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT355+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.41 % Computer : n010.cluster.edu
% 0.13/5.41 % Model : x86_64 x86_64
% 0.13/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.41 % Memory : 8046.5625MB
% 0.13/5.41 % OS : Linux 6.8.0-71-generic
% 0.13/5.41 % CPULimit : 300
% 0.13/5.41 % WCLimit : 300
% 0.13/5.41 % DateTime : Sun Sep 27 14:58:14 UTC 2026
% 0.13/5.42 % CPUTime :
% 0.13/5.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.47 Running first-order theorem proving
% 0.13/5.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.72/8.43 % (1057398)Detected formulas, will run a generic FOF schedule.
% 12.72/8.43 % (1057410)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2024007373:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 12.72/8.43 % (1057408)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=1660329344:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 12.72/8.43 % (1057407)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=2132865344:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 12.72/8.43 % (1057411)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4045619481:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 12.72/8.43 % (1057409)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=1783595898:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 12.72/8.43 % (1057410)Refutation not found, incomplete strategy
% 12.72/8.43 % (1057410)------------------------------
% 12.72/8.43 % (1057410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/8.43 % (1057410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/8.43 % (1057410)CaDiCaL version: 2.1.3
% 12.72/8.43 % (1057410)Termination reason: Refutation not found, incomplete strategy
% 12.72/8.43 % (1057410)Time elapsed: 0.037 s
% 12.72/8.43 % (1057410)Peak memory usage: 104 MB
% 12.72/8.43 % (1057410)Instructions burned: 78 (million)
% 12.72/8.43 % (1057413)dis-21_1_sil=8000:lcm=predicate:random_seed=572167053:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 12.72/8.43 % (1057412)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3326750929:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 12.72/8.43 % (1057411)Instruction limit reached!
% 12.72/8.43 % (1057411)------------------------------
% 12.72/8.43 % (1057411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/8.43 % (1057411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/8.43 % (1057411)CaDiCaL version: 2.1.3
% 12.72/8.43 % (1057411)Termination reason: Instruction limit
% 12.72/8.43 % (1057411)Termination phase: Preprocessing 3
% 12.72/8.43 % (1057411)Time elapsed: 0.097 s
% 12.72/8.43 % (1057411)Peak memory usage: 102 MB
% 12.72/8.43 % (1057411)Instructions burned: 119 (million)
% 12.72/8.43 % (1057413)Instruction limit reached!
% 12.72/8.43 % (1057413)------------------------------
% 12.72/8.43 % (1057413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/8.43 % (1057413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/8.43 % (1057413)CaDiCaL version: 2.1.3
% 12.72/8.43 % (1057413)Termination reason: Instruction limit
% 12.72/8.43 % (1057413)Termination phase: Preprocessing 1
% 12.72/8.43 % (1057413)Time elapsed: 0.098 s
% 12.72/8.43 % (1057413)Peak memory usage: 100 MB
% 12.72/8.43 % (1057413)Instructions burned: 130 (million)
% 12.72/8.43 % (1057412)Instruction limit reached!
% 12.72/8.43 % (1057412)------------------------------
% 12.72/8.43 % (1057412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.72/8.43 % (1057412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/8.43 % (1057412)CaDiCaL version: 2.1.3
% 12.72/8.43 % (1057412)Termination reason: Instruction limit
% 12.72/8.43 % (1057412)Termination phase: Property scanning
% 12.72/8.43 % (1057412)Time elapsed: 0.060 s
% 12.72/8.43 % (1057412)Peak memory usage: 98 MB
% 12.72/8.43 % (1057412)Instructions burned: 140 (million)
% 12.72/8.43 % (1057410)------------------------------
% 12.72/8.43 % (1057410)------------------------------
% 12.72/8.43 % (1057444)lrs+10_1_sil=8000:sp=occurrence:random_seed=3241371928:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 12.72/8.43 % (1057457)lrs+10_1_sil=32000:urr=on:br=off:random_seed=987763959:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 12.72/8.43 % (1057472)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=892693235:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 12.72/8.43 % (1057462)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3197950390:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 12.34/9.24 % (1057457)Instruction limit reached!
% 12.34/9.24 % (1057457)------------------------------
% 12.34/9.24 % (1057457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057457)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057457)Termination reason: Instruction limit
% 12.34/9.24 % (1057457)Termination phase: SInE selection
% 12.34/9.24 % (1057457)Time elapsed: 0.071 s
% 12.34/9.24 % (1057457)Peak memory usage: 99 MB
% 12.34/9.24 % (1057457)Instructions burned: 157 (million)
% 12.34/9.24 % (1057472)Instruction limit reached!
% 12.34/9.24 % (1057472)------------------------------
% 12.34/9.24 % (1057472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057472)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057472)Termination reason: Instruction limit
% 12.34/9.24 % (1057472)Termination phase: Preprocessing 1
% 12.34/9.24 % (1057472)Time elapsed: 0.076 s
% 12.34/9.24 % (1057472)Peak memory usage: 100 MB
% 12.34/9.24 % (1057472)Instructions burned: 251 (million)
% 12.34/9.24 % (1057444)Instruction limit reached!
% 12.34/9.24 % (1057444)------------------------------
% 12.34/9.24 % (1057444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057444)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057444)Termination reason: Instruction limit
% 12.34/9.24 % (1057444)Termination phase: Saturation
% 12.34/9.24 % (1057444)Time elapsed: 0.176 s
% 12.34/9.24 % (1057444)Peak memory usage: 107 MB
% 12.34/9.24 % (1057444)Instructions burned: 285 (million)
% 12.34/9.24 % (1057536)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3686670657:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 12.34/9.24 % (1057462)Instruction limit reached!
% 12.34/9.24 % (1057462)------------------------------
% 12.34/9.24 % (1057462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057462)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057462)Termination reason: Instruction limit
% 12.34/9.24 % (1057462)Termination phase: Saturation
% 12.34/9.24 % (1057462)Time elapsed: 0.202 s
% 12.34/9.24 % (1057462)Peak memory usage: 106 MB
% 12.34/9.24 % (1057462)Instructions burned: 326 (million)
% 12.34/9.24 % (1057534)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1293416466:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 12.34/9.24 % (1057539)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2216167417:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 12.34/9.24 % (1057551)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=605626685:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 12.34/9.24 % (1057534)Instruction limit reached!
% 12.34/9.24 % (1057534)------------------------------
% 12.34/9.24 % (1057534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057534)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057534)Termination reason: Instruction limit
% 12.34/9.24 % (1057534)Termination phase: Saturation
% 12.34/9.24 % (1057534)Time elapsed: 0.184 s
% 12.34/9.24 % (1057534)Peak memory usage: 107 MB
% 12.34/9.24 % (1057534)Instructions burned: 294 (million)
% 12.34/9.24 % (1057539)Instruction limit reached!
% 12.34/9.24 % (1057539)------------------------------
% 12.34/9.24 % (1057539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057539)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057539)Termination reason: Instruction limit
% 12.34/9.24 % (1057539)Termination phase: Preprocessing 3
% 12.34/9.24 % (1057539)Time elapsed: 0.093 s
% 12.34/9.24 % (1057539)Peak memory usage: 103 MB
% 12.34/9.24 % (1057539)Instructions burned: 114 (million)
% 12.34/9.24 % (1057551)Instruction limit reached!
% 12.34/9.24 % (1057551)------------------------------
% 12.34/9.24 % (1057551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057551)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057551)Termination reason: Instruction limit
% 12.34/9.24 % (1057551)Termination phase: Preprocessing 2
% 12.34/9.24 % (1057551)Time elapsed: 0.104 s
% 12.34/9.24 % (1057551)Peak memory usage: 107 MB
% 12.34/9.24 % (1057551)Instructions burned: 127 (million)
% 12.34/9.24 % (1057590)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3957577121:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 12.34/9.24 % (1057591)lrs+10_1_sil=8000:sp=occurrence:random_seed=3422840212:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 12.34/9.24 % (1057590)Instruction limit reached!
% 12.34/9.24 % (1057590)------------------------------
% 12.34/9.24 % (1057590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057590)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057590)Termination reason: Instruction limit
% 12.34/9.24 % (1057590)Termination phase: Property scanning
% 12.34/9.24 % (1057590)Time elapsed: 0.049 s
% 12.34/9.24 % (1057590)Peak memory usage: 99 MB
% 12.34/9.24 % (1057590)Instructions burned: 115 (million)
% 12.34/9.24 % (1057592)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1281586286:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 12.34/9.24 % (1057596)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=747956466:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 12.34/9.24 % (1057592)Instruction limit reached!
% 12.34/9.24 % (1057592)------------------------------
% 12.34/9.24 % (1057592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057592)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057592)Termination reason: Instruction limit
% 12.34/9.24 % (1057592)Termination phase: Saturation
% 12.34/9.24 % (1057592)Time elapsed: 0.233 s
% 12.34/9.24 % (1057592)Peak memory usage: 107 MB
% 12.34/9.24 % (1057592)Instructions burned: 437 (million)
% 12.34/9.24 % (1057598)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=425776187:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 12.34/9.24 % (1057536)Instruction limit reached!
% 12.34/9.24 % (1057536)------------------------------
% 12.34/9.24 % (1057536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057536)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057536)Termination reason: Instruction limit
% 12.34/9.24 % (1057536)Termination phase: Saturation
% 12.34/9.24 % (1057536)Time elapsed: 0.909 s
% 12.34/9.24 % (1057536)Peak memory usage: 273 MB
% 12.34/9.24 % (1057536)Instructions burned: 2353 (million)
% 12.34/9.24 % (1057598)Instruction limit reached!
% 12.34/9.24 % (1057598)------------------------------
% 12.34/9.24 % (1057598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057598)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057598)Termination reason: Instruction limit
% 12.34/9.24 % (1057598)Termination phase: Property scanning
% 12.34/9.24 % (1057598)Time elapsed: 0.096 s
% 12.34/9.24 % (1057598)Peak memory usage: 103 MB
% 12.34/9.24 % (1057598)Instructions burned: 135 (million)
% 12.34/9.24 % (1057591)Instruction limit reached!
% 12.34/9.24 % (1057591)------------------------------
% 12.34/9.24 % (1057591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057591)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057591)Termination reason: Instruction limit
% 12.34/9.24 % (1057591)Termination phase: Saturation
% 12.34/9.24 % (1057591)Time elapsed: 0.557 s
% 12.34/9.24 % (1057591)Peak memory usage: 118 MB
% 12.34/9.24 % (1057591)Instructions burned: 907 (million)
% 12.34/9.24 % (1057600)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2765789576:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 12.34/9.24 % (1057601)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=131257317:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 12.34/9.24 % (1057602)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2819661589:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 12.34/9.24 % (1057602)Instruction limit reached!
% 12.34/9.24 % (1057602)------------------------------
% 12.34/9.24 % (1057602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057602)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057602)Termination reason: Instruction limit
% 12.34/9.24 % (1057602)Termination phase: Property scanning
% 12.34/9.24 % (1057602)Time elapsed: 0.054 s
% 12.34/9.24 % (1057602)Peak memory usage: 99 MB
% 12.34/9.24 % (1057602)Instructions burned: 127 (million)
% 12.34/9.24 % (1057600)Instruction limit reached!
% 12.34/9.24 % (1057600)------------------------------
% 12.34/9.24 % (1057600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057600)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057600)Termination reason: Instruction limit
% 12.34/9.24 % (1057600)Termination phase: Property scanning
% 12.34/9.24 % (1057600)Time elapsed: 0.220 s
% 12.34/9.24 % (1057600)Peak memory usage: 118 MB
% 12.34/9.24 % (1057600)Instructions burned: 597 (million)
% 12.34/9.24 % (1057606)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3246910026:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 12.34/9.24 % (1057607)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3493323840:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 12.34/9.24 % (1057606)Instruction limit reached!
% 12.34/9.24 % (1057606)------------------------------
% 12.34/9.24 % (1057606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057606)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057606)Termination reason: Instruction limit
% 12.34/9.24 % (1057606)Termination phase: Property scanning
% 12.34/9.24 % (1057606)Time elapsed: 0.060 s
% 12.34/9.24 % (1057606)Peak memory usage: 99 MB
% 12.34/9.24 % (1057606)Instructions burned: 136 (million)
% 12.34/9.24 % (1057607)Instruction limit reached!
% 12.34/9.24 % (1057607)------------------------------
% 12.34/9.24 % (1057607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057607)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057607)Termination reason: Instruction limit
% 12.34/9.24 % (1057607)Termination phase: Saturation
% 12.34/9.24 % (1057607)Time elapsed: 0.053 s
% 12.34/9.24 % (1057607)Peak memory usage: 104 MB
% 12.34/9.24 % (1057607)Instructions burned: 142 (million)
% 12.34/9.24 % (1057610)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3275389306:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 12.34/9.24 % (1057611)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=341119701:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 12.34/9.24 % (1057409)First to succeed.
% 12.34/9.24 % (1057409)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1057398"
% 12.34/9.24 % (1057408)Also succeeded, but the first one will report.
% 12.34/9.24 % (1057610)Instruction limit reached!
% 12.34/9.24 % (1057610)------------------------------
% 12.34/9.24 % (1057610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.34/9.24 % (1057610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.34/9.24 % (1057610)CaDiCaL version: 2.1.3
% 12.34/9.24 % (1057610)Termination reason: Instruction limit
% 12.34/9.24 % (1057610)Termination phase: Saturation
% 12.34/9.24 % (1057610)Time elapsed: 0.244 s
% 12.34/9.24 % (1057610)Peak memory usage: 107 MB
% 12.34/9.24 % (1057610)Instructions burned: 431 (million)
% 12.34/9.24 % (1057409)Refutation found. Thanks to Tanya!
% 12.34/9.24 % SZS status Theorem for theBenchmark
% 12.34/9.24 % SZS output start Proof for theBenchmark
% See solution above
% 19.03/9.44 % (1057409)------------------------------
% 19.03/9.44 % (1057409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.03/9.44 % (1057409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.03/9.44 % (1057409)CaDiCaL version: 2.1.3
% 19.03/9.44 % (1057409)Termination reason: Refutation
% 19.03/9.44 % (1057409)Time elapsed: 2.040 s
% 19.03/9.44 % (1057409)Peak memory usage: 164 MB
% 19.03/9.44 % (1057409)Instructions burned: 3591 (million)
% 19.03/9.44 % (1057409)------------------------------
% 19.03/9.44 % (1057409)------------------------------
% 19.03/9.44 % (1057398)Success in time 3.198 s
% 19.03/9.44 % Vampire exiting
%------------------------------------------------------------------------------