%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT354+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:48:35 AM UTC 2026
% Result : Theorem 8.77s 2.84s
% Output : Refutation 8.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 41
% Syntax : Number of formulae : 463 ( 61 unt; 20 def)
% Number of atoms : 3671 ( 117 equ)
% Maximal formula atoms : 43 ( 7 avg)
% Number of connectives : 5155 (1947 ~;2833 |; 298 &)
% ( 30 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 21 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-4 aty)
% Number of variables : 331 ( 0 sgn 325 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(X0,X1,X2) = k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_waybel34(X0,X1,X2) = k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(X0)
=> X0 = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f23,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f72,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v17_waybel_0(X2,X0,X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( X3 = k1_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(f73,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ( ( v3_lattice3(X0)
& v3_lattice3(X1)
& v18_waybel_0(X2,X1,X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X3 = k2_waybel34(X0,X1,X2)
<=> v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(f74,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k3_waybel34(X0,X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_waybel34) ).
fof(f75,axiom,
! [X0] :
( l1_orders_2(X0)
=> k7_lattice3(X0) = g1_orders_2(u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lattice3) ).
fof(f77,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ( v1_orders_2(g1_orders_2(X0,X1))
& l1_orders_2(g1_orders_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_orders_2) ).
fof(f79,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel34) ).
fof(f86,axiom,
! [X0,X1,X2] :
( ( l1_orders_2(X0)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel34) ).
fof(f89,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f90,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f97,axiom,
! [X0] :
( l1_orders_2(X0)
=> m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f122,axiom,
! [X0] :
( ( v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f127,axiom,
! [X0] :
( ( v3_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f130,axiom,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v20_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel34) ).
fof(f131,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f144,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_yellow_7) ).
fof(f151,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ! [X2,X3] :
( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f188,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f193,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
& m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0))) )
=> ( ( X2 = X4
& X3 = X5 )
=> ( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X0),X5,X4),k7_lattice3(X1),k7_lattice3(X0)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_7) ).
fof(f224,plain,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_relat_1(k3_waybel34(X0,X1,X2))
& v1_funct_1(k3_waybel34(X0,X1,X2))
& ~ v1_xboole_0(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v1_partfun1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
inference(pure_predicate_removal,[],[f130]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_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)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0))
& v5_orders_3(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ) ),
inference(pure_predicate_removal,[],[f224]) ).
fof(f253,plain,
! [X0,X1,X2] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_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)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0)) ) ),
inference(pure_predicate_removal,[],[f245]) ).
fof(f257,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(X0,X1,X2) != k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f258,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_waybel34(X0,X1,X2) != k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),k3_waybel34(X0,X1,X2))
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v17_waybel_0(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v2_lattice3(X0)
& v3_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f257]) ).
fof(f259,plain,
! [X0] :
( X0 = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f260,plain,
! [X0] :
( X0 = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f259]) ).
fof(f286,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f287,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f286]) ).
fof(f371,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,[],[f72]) ).
fof(f372,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,[],[f371]) ).
fof(f373,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,[],[f73]) ).
fof(f374,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,[],[f373]) ).
fof(f375,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,[],[f74]) ).
fof(f376,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,[],[f375]) ).
fof(f377,plain,
! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f378,plain,
! [X0,X1] :
( ( v1_orders_2(g1_orders_2(X0,X1))
& l1_orders_2(g1_orders_2(X0,X1)) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f379,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f79]) ).
fof(f380,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k1_waybel34(X0,X1,X2))
& v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
& m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f379]) ).
fof(f383,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f384,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_waybel34(X0,X1,X2))
& v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f383]) ).
fof(f386,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f89]) ).
fof(f387,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f390,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f420,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,[],[f122]) ).
fof(f421,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f420]) ).
fof(f427,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,[],[f127]) ).
fof(f428,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f427]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ( 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)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f253]) ).
fof(f434,plain,
! [X0,X1,X2] :
( ( 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)))
& v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v22_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1))
& v5_waybel_1(k3_waybel34(X0,X1,X2),k7_lattice3(X1),k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f433]) ).
fof(f435,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,[],[f131]) ).
fof(f436,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f435]) ).
fof(f458,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f144]) ).
fof(f459,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v3_yellow_0(k7_lattice3(X0)) )
| v3_struct_0(X0)
| ~ v3_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f458]) ).
fof(f470,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f151]) ).
fof(f501,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,[],[f193]) ).
fof(f502,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,[],[f501]) ).
fof(f509,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f258]) ).
fof(f510,plain,
v17_waybel_0(sK2,sK0,sK1),
inference(cnf_transformation,[],[f258]) ).
fof(f511,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f258]) ).
fof(f512,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f258]) ).
fof(f513,plain,
k1_waybel34(sK0,sK1,sK2) != k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),k3_waybel34(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f258]) ).
fof(f514,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f258]) ).
fof(f515,plain,
v3_lattice3(sK1),
inference(cnf_transformation,[],[f258]) ).
fof(f516,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f258]) ).
fof(f517,plain,
v1_lattice3(sK1),
inference(cnf_transformation,[],[f258]) ).
fof(f518,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f258]) ).
fof(f519,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f258]) ).
fof(f520,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f258]) ).
fof(f521,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f258]) ).
fof(f522,plain,
v3_lattice3(sK0),
inference(cnf_transformation,[],[f258]) ).
fof(f523,plain,
v2_lattice3(sK0),
inference(cnf_transformation,[],[f258]) ).
fof(f524,plain,
v1_lattice3(sK0),
inference(cnf_transformation,[],[f258]) ).
fof(f525,plain,
v4_orders_2(sK0),
inference(cnf_transformation,[],[f258]) ).
fof(f526,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f258]) ).
fof(f527,plain,
v2_orders_2(sK0),
inference(cnf_transformation,[],[f258]) ).
fof(f528,plain,
! [X0] :
( ~ v1_orders_2(X0)
| ~ l1_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = X0 ),
inference(cnf_transformation,[],[f260]) ).
fof(f579,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f689,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| k1_waybel34(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f372]) ).
fof(f690,plain,
! [X2,X3,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| k2_waybel34(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f374]) ).
fof(f692,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k3_waybel34(X0,X1,X2) = X2 ),
inference(cnf_transformation,[],[f376]) ).
fof(f693,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k7_lattice3(X0) = g1_orders_2(u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0))) ),
inference(cnf_transformation,[],[f377]) ).
fof(f695,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| l1_orders_2(g1_orders_2(X0,X1)) ),
inference(cnf_transformation,[],[f378]) ).
fof(f696,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| v1_orders_2(g1_orders_2(X0,X1)) ),
inference(cnf_transformation,[],[f378]) ).
fof(f697,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f380]) ).
fof(f698,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f380]) ).
fof(f699,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_funct_1(k1_waybel34(X0,X1,X2)) ),
inference(cnf_transformation,[],[f380]) ).
fof(f703,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ),
inference(cnf_transformation,[],[f384]) ).
fof(f704,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1))) ),
inference(cnf_transformation,[],[f384]) ).
fof(f707,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f386]) ).
fof(f708,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f387]) ).
fof(f712,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f390]) ).
fof(f792,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f421]) ).
fof(f811,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f428]) ).
fof(f819,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ),
inference(cnf_transformation,[],[f434]) ).
fof(f824,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| v4_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f436]) ).
fof(f867,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v3_lattice3(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f459]) ).
fof(f868,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v2_lattice3(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f459]) ).
fof(f869,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v1_lattice3(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f459]) ).
fof(f894,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f470]) ).
fof(f1140,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
fof(f1146,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(X5)
| X3 != X5
| X2 != X4
| 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) ),
inference(cnf_transformation,[],[f502]) ).
fof(f1153,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X0)
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(equality_resolution,[],[f689]) ).
fof(f1155,plain,
! [X2,X0,X1,X4,X5] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(X5)
| X2 != X4
| 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,X5),X0,X1) ),
inference(equality_resolution,[],[f1146]) ).
fof(f1156,plain,
! [X0,X1,X4,X5] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(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) ),
inference(equality_resolution,[],[f1155]) ).
fof(f1159,plain,
~ v4_orders_2(sK0),
inference(consistent_polarity_flipping,[],[f525]) ).
fof(f1160,plain,
~ v1_lattice3(sK0),
inference(consistent_polarity_flipping,[],[f524]) ).
fof(f1161,plain,
~ v3_lattice3(sK0),
inference(consistent_polarity_flipping,[],[f522]) ).
fof(f1162,plain,
~ v4_orders_2(sK1),
inference(consistent_polarity_flipping,[],[f518]) ).
fof(f1163,plain,
~ v1_lattice3(sK1),
inference(consistent_polarity_flipping,[],[f517]) ).
fof(f1164,plain,
~ v3_lattice3(sK1),
inference(consistent_polarity_flipping,[],[f515]) ).
fof(f1165,plain,
~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(consistent_polarity_flipping,[],[f511]) ).
fof(f1206,plain,
! [X0] :
( v1_lattice3(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(consistent_polarity_flipping,[],[f579]) ).
fof(f1310,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ v2_lattice3(X0)
| v1_lattice3(X0)
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v17_waybel_0(X2,X0,X1)
| v3_lattice3(X1)
| v3_lattice3(X0)
| ~ m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ v3_waybel_1(k1_waybel_1(X0,X1,X2,k1_waybel34(X0,X1,X2)),X0,X1) ),
inference(consistent_polarity_flipping,[],[f1153]) ).
fof(f1313,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X3,X2),X0,X1)
| ~ v2_lattice3(X0)
| v1_lattice3(X0)
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,X1,X0)
| v3_lattice3(X1)
| v3_lattice3(X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X0)
| k2_waybel34(X0,X1,X2) = X3 ),
inference(consistent_polarity_flipping,[],[f690]) ).
fof(f1314,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k3_waybel34(X0,X1,X2) = X2 ),
inference(consistent_polarity_flipping,[],[f692]) ).
fof(f1315,plain,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
| v1_orders_2(g1_orders_2(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f696]) ).
fof(f1316,plain,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
| l1_orders_2(g1_orders_2(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f695]) ).
fof(f1317,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| v1_lattice3(X0)
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_funct_1(k1_waybel34(X0,X1,X2)) ),
inference(consistent_polarity_flipping,[],[f699]) ).
fof(f1318,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| v1_lattice3(X0)
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(consistent_polarity_flipping,[],[f698]) ).
fof(f1319,plain,
! [X2,X0,X1] :
( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| v1_lattice3(X0)
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(consistent_polarity_flipping,[],[f697]) ).
fof(f1324,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(consistent_polarity_flipping,[],[f704]) ).
fof(f1325,plain,
! [X2,X0,X1] :
( m2_relset_1(k3_waybel34(X0,X1,X2),u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(consistent_polarity_flipping,[],[f703]) ).
fof(f1327,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| m1_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f707]) ).
fof(f1419,plain,
! [X2,X0,X1] :
( ~ v17_waybel_0(X2,X0,X1)
| m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1)
| v3_lattice3(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| v3_lattice3(X0)
| ~ v2_lattice3(X0)
| v1_lattice3(X0)
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v18_waybel_0(k3_waybel34(X0,X1,X2),k7_lattice3(X0),k7_lattice3(X1)) ),
inference(consistent_polarity_flipping,[],[f819]) ).
fof(f1423,plain,
! [X0] :
( ~ v4_orders_2(k7_lattice3(X0))
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f824]) ).
fof(f1457,plain,
! [X0] :
( ~ v1_lattice3(k7_lattice3(X0))
| v3_lattice3(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f869]) ).
fof(f1458,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| v3_lattice3(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f868]) ).
fof(f1459,plain,
! [X0] :
( ~ v3_lattice3(k7_lattice3(X0))
| v3_lattice3(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(consistent_polarity_flipping,[],[f867]) ).
fof(f1480,plain,
! [X2,X3,X0,X1] :
( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| m1_relset_1(X1,X0,X0)
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f894]) ).
fof(f1608,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f1140]) ).
fof(f1613,plain,
! [X0,X1,X4,X5] :
( ~ l1_orders_2(X0)
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(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) ),
inference(consistent_polarity_flipping,[],[f1156]) ).
fof(f1620,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))
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X5)
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X4,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X4,X5),X0,X1) ),
inference(duplicate_literal_removal,[],[f1613]) ).
fof(f1681,plain,
( ~ l1_orders_2(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1206,f1160]) ).
fof(f1682,plain,
( ~ l1_orders_2(sK1)
| v3_struct_0(sK1) ),
inference(resolution,[],[f1206,f1163]) ).
fof(f1694,plain,
v3_struct_0(sK1),
inference(forward_subsumption_resolution,[],[f1682,f514]) ).
fof(f1695,plain,
v3_struct_0(sK0),
inference(forward_subsumption_resolution,[],[f1681,f521]) ).
fof(f2322,plain,
k7_lattice3(sK0) = g1_orders_2(u1_struct_0(sK0),k6_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_orders_2(sK0))),
inference(resolution,[],[f693,f521]) ).
fof(f2341,plain,
! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK0)
| m1_relset_1(k6_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_orders_2(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| u1_struct_0(sK0) = X0 ),
inference(superposition,[],[f1480,f2322]) ).
fof(f2343,definition,
( spl40_19
<=> m1_relset_1(k6_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_orders_2(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_19])],[avatar_definition]) ).
fof(f2344,plain,
( ~ m1_relset_1(k6_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_orders_2(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| spl40_19 ),
inference(avatar_component_clause,[],[f2343]) ).
fof(f2345,plain,
( m1_relset_1(k6_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_orders_2(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl40_19 ),
inference(avatar_component_clause,[],[f2343]) ).
fof(f2347,definition,
( spl40_20
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK0)
| u1_struct_0(sK0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl40_20])],[avatar_definition]) ).
fof(f2348,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK0)
| u1_struct_0(sK0) = X0 )
| ~ spl40_20 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2349,plain,
( spl40_19
| spl40_20 ),
inference(avatar_split_clause,[],[f2341,f2347,f2343]) ).
fof(f2354,plain,
( ~ m2_relset_1(k6_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_orders_2(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl40_19 ),
inference(resolution,[],[f2345,f1608]) ).
fof(f2355,plain,
( m1_relset_1(u1_orders_2(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl40_19 ),
inference(resolution,[],[f2354,f1327]) ).
fof(f2357,plain,
( ~ m2_relset_1(u1_orders_2(sK0),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl40_19 ),
inference(resolution,[],[f2355,f1608]) ).
fof(f2358,plain,
( ~ l1_orders_2(sK0)
| ~ spl40_19 ),
inference(resolution,[],[f2357,f712]) ).
fof(f2360,plain,
( $false
| ~ spl40_19 ),
inference(forward_subsumption_resolution,[],[f2358,f521]) ).
fof(f2361,plain,
~ spl40_19,
inference(avatar_contradiction_clause,[],[f2360]) ).
fof(f2372,plain,
( l1_orders_2(g1_orders_2(u1_struct_0(sK0),k6_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_orders_2(sK0))))
| spl40_19 ),
inference(resolution,[],[f2344,f1316]) ).
fof(f2373,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(sK0),k6_relset_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_orders_2(sK0))))
| spl40_19 ),
inference(resolution,[],[f2344,f1315]) ).
fof(f2376,plain,
( v1_orders_2(k7_lattice3(sK0))
| spl40_19 ),
inference(forward_demodulation,[],[f2373,f2322]) ).
fof(f2377,plain,
( l1_orders_2(k7_lattice3(sK0))
| spl40_19 ),
inference(forward_demodulation,[],[f2372,f2322]) ).
fof(f2380,plain,
( ~ l1_orders_2(k7_lattice3(sK0))
| k7_lattice3(sK0) = g1_orders_2(u1_struct_0(k7_lattice3(sK0)),u1_orders_2(k7_lattice3(sK0)))
| spl40_19 ),
inference(resolution,[],[f2376,f528]) ).
fof(f2382,definition,
( spl40_24
<=> k7_lattice3(sK0) = g1_orders_2(u1_struct_0(k7_lattice3(sK0)),u1_orders_2(k7_lattice3(sK0))) ),
introduced(definition,[new_symbols(definition,[spl40_24])],[avatar_definition]) ).
fof(f2384,plain,
( k7_lattice3(sK0) = g1_orders_2(u1_struct_0(k7_lattice3(sK0)),u1_orders_2(k7_lattice3(sK0)))
| ~ spl40_24 ),
inference(avatar_component_clause,[],[f2382]) ).
fof(f2386,definition,
( spl40_25
<=> l1_orders_2(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_25])],[avatar_definition]) ).
fof(f2389,plain,
( spl40_24
| ~ spl40_25
| spl40_19 ),
inference(avatar_split_clause,[],[f2380,f2343,f2386,f2382]) ).
fof(f2392,plain,
( spl40_25
| spl40_19 ),
inference(avatar_split_clause,[],[f2377,f2343,f2386]) ).
fof(f2466,plain,
( k7_lattice3(sK0) != k7_lattice3(sK0)
| u1_struct_0(sK0) = u1_struct_0(k7_lattice3(sK0))
| ~ spl40_20
| ~ spl40_24 ),
inference(superposition,[],[f2348,f2384]) ).
fof(f2471,plain,
( u1_struct_0(sK0) = u1_struct_0(k7_lattice3(sK0))
| ~ spl40_20
| ~ spl40_24 ),
inference(trivial_inequality_removal,[],[f2466]) ).
fof(f2560,definition,
( spl40_36
<=> v1_lattice3(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_36])],[avatar_definition]) ).
fof(f2561,plain,
( ~ v1_lattice3(k7_lattice3(sK0))
| spl40_36 ),
inference(avatar_component_clause,[],[f2560]) ).
fof(f2562,plain,
( v1_lattice3(k7_lattice3(sK0))
| ~ spl40_36 ),
inference(avatar_component_clause,[],[f2560]) ).
fof(f2579,definition,
( spl40_40
<=> v2_lattice3(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_40])],[avatar_definition]) ).
fof(f2580,plain,
( v2_lattice3(k7_lattice3(sK0))
| ~ spl40_40 ),
inference(avatar_component_clause,[],[f2579]) ).
fof(f2581,plain,
( ~ v2_lattice3(k7_lattice3(sK0))
| spl40_40 ),
inference(avatar_component_clause,[],[f2579]) ).
fof(f2697,plain,
( v3_lattice3(sK0)
| ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl40_36 ),
inference(resolution,[],[f2562,f1457]) ).
fof(f2710,plain,
( ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl40_36 ),
inference(forward_subsumption_resolution,[],[f2697,f1161]) ).
fof(f2718,plain,
( ~ l1_orders_2(sK0)
| ~ spl40_36 ),
inference(forward_subsumption_resolution,[],[f2710,f1695]) ).
fof(f2721,plain,
( $false
| ~ spl40_36 ),
inference(forward_subsumption_resolution,[],[f2718,f521]) ).
fof(f2722,plain,
~ spl40_36,
inference(avatar_contradiction_clause,[],[f2721]) ).
fof(f2733,plain,
( v3_lattice3(sK0)
| ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl40_40 ),
inference(resolution,[],[f2581,f1458]) ).
fof(f2736,plain,
( ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| spl40_40 ),
inference(forward_subsumption_resolution,[],[f2733,f1161]) ).
fof(f2739,plain,
( ~ l1_orders_2(sK0)
| spl40_40 ),
inference(forward_subsumption_resolution,[],[f2736,f1695]) ).
fof(f2740,plain,
( $false
| spl40_40 ),
inference(forward_subsumption_resolution,[],[f2739,f521]) ).
fof(f2741,plain,
spl40_40,
inference(avatar_contradiction_clause,[],[f2740]) ).
fof(f3290,plain,
( ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| sK2 = k3_waybel34(sK0,sK1,sK2) ),
inference(resolution,[],[f1314,f509]) ).
fof(f3297,plain,
( ~ l1_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| sK2 = k3_waybel34(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f3290,f514]) ).
fof(f3298,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| sK2 = k3_waybel34(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f3297,f521]) ).
fof(f3299,plain,
( ~ v1_funct_1(sK2)
| sK2 = k3_waybel34(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f3298,f1165]) ).
fof(f3300,plain,
sK2 = k3_waybel34(sK0,sK1,sK2),
inference(forward_subsumption_resolution,[],[f3299,f512]) ).
fof(f3302,plain,
k1_waybel34(sK0,sK1,sK2) != k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2),
inference(superposition,[],[f513,f3300]) ).
fof(f3303,plain,
( ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(superposition,[],[f1324,f3300]) ).
fof(f3308,plain,
( ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3303,f1165]) ).
fof(f3309,plain,
( ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3308,f512]) ).
fof(f3310,plain,
( ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3309,f514]) ).
fof(f3311,plain,
( ~ v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3310,f521]) ).
fof(f3312,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(k7_lattice3(sK1)))
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_20
| ~ spl40_24 ),
inference(forward_demodulation,[],[f3311,f2471]) ).
fof(f3314,definition,
( spl40_87
<=> m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl40_87])],[avatar_definition]) ).
fof(f3315,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_87 ),
inference(avatar_component_clause,[],[f3314]) ).
fof(f3316,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_87 ),
inference(avatar_component_clause,[],[f3314]) ).
fof(f3318,definition,
( spl40_88
<=> v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(k7_lattice3(sK1))) ),
introduced(definition,[new_symbols(definition,[spl40_88])],[avatar_definition]) ).
fof(f3320,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(k7_lattice3(sK1)))
| spl40_88 ),
inference(avatar_component_clause,[],[f3318]) ).
fof(f3321,plain,
( spl40_87
| ~ spl40_88
| ~ spl40_20
| ~ spl40_24 ),
inference(avatar_split_clause,[],[f3312,f2382,f2347,f3318,f3314]) ).
fof(f3324,plain,
( m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(superposition,[],[f1325,f3300]) ).
fof(f3329,plain,
( m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3324,f1165]) ).
fof(f3331,plain,
( m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK1)
| ~ l1_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3329,f512]) ).
fof(f3333,plain,
( m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ l1_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3331,f514]) ).
fof(f3335,plain,
( m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3333,f521]) ).
fof(f3337,plain,
( m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(k7_lattice3(sK1)))
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_20
| ~ spl40_24 ),
inference(forward_demodulation,[],[f3335,f2471]) ).
fof(f3339,definition,
( spl40_89
<=> m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(k7_lattice3(sK1))) ),
introduced(definition,[new_symbols(definition,[spl40_89])],[avatar_definition]) ).
fof(f3341,plain,
( m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(k7_lattice3(sK1)))
| ~ spl40_89 ),
inference(avatar_component_clause,[],[f3339]) ).
fof(f3342,plain,
( spl40_87
| spl40_89
| ~ spl40_20
| ~ spl40_24 ),
inference(avatar_split_clause,[],[f3337,f2382,f2347,f3339,f3314]) ).
fof(f3357,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_87 ),
inference(resolution,[],[f3316,f1608]) ).
fof(f3358,plain,
( $false
| ~ spl40_87 ),
inference(forward_subsumption_resolution,[],[f3357,f509]) ).
fof(f3359,plain,
~ spl40_87,
inference(avatar_contradiction_clause,[],[f3358]) ).
fof(f3526,plain,
! [X0,X1] :
( m1_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| v1_lattice3(X0)
| v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_funct_1(k1_waybel34(X0,X1,sK2)) ),
inference(resolution,[],[f1317,f512]) ).
fof(f3579,plain,
! [X2,X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| v1_lattice3(X2)
| v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| v1_funct_2(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(k1_waybel34(X1,X2,X0))
| k1_waybel34(X1,X2,X0) = k3_waybel34(X2,X1,k1_waybel34(X1,X2,X0)) ),
inference(resolution,[],[f1319,f1314]) ).
fof(f3583,plain,
! [X2,X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| v1_lattice3(X2)
| v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| v1_funct_2(k1_waybel34(X1,X2,X0),u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(k1_waybel34(X1,X2,X0))
| k1_waybel34(X1,X2,X0) = k3_waybel34(X2,X1,k1_waybel34(X1,X2,X0)) ),
inference(duplicate_literal_removal,[],[f3579]) ).
fof(f3586,plain,
! [X2,X0,X1] :
( v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| v1_lattice3(X2)
| v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k1_waybel34(X1,X2,X0))
| k1_waybel34(X1,X2,X0) = k3_waybel34(X2,X1,k1_waybel34(X1,X2,X0)) ),
inference(forward_subsumption_resolution,[],[f3583,f1318]) ).
fof(f3589,plain,
! [X2,X0,X1] :
( m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| v1_lattice3(X2)
| v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| k1_waybel34(X1,X2,X0) = k3_waybel34(X2,X1,k1_waybel34(X1,X2,X0)) ),
inference(forward_subsumption_resolution,[],[f3586,f1317]) ).
fof(f3903,definition,
( spl40_109
<=> v1_funct_1(k1_waybel34(sK0,sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_109])],[avatar_definition]) ).
fof(f3904,plain,
( v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ spl40_109 ),
inference(avatar_component_clause,[],[f3903]) ).
fof(f3907,definition,
( spl40_110
<=> v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_110])],[avatar_definition]) ).
fof(f3908,plain,
( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_110 ),
inference(avatar_component_clause,[],[f3907]) ).
fof(f3909,plain,
( v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl40_110 ),
inference(avatar_component_clause,[],[f3907]) ).
fof(f3911,definition,
( spl40_111
<=> m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_111])],[avatar_definition]) ).
fof(f3912,plain,
( ~ m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_111 ),
inference(avatar_component_clause,[],[f3911]) ).
fof(f3913,plain,
( m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl40_111 ),
inference(avatar_component_clause,[],[f3911]) ).
fof(f3976,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| v3_lattice3(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1)) ),
inference(resolution,[],[f1419,f510]) ).
fof(f3980,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| v3_lattice3(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3976,f3315]) ).
fof(f3982,plain,
( ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| v3_lattice3(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3980,f1165]) ).
fof(f3984,plain,
( ~ l1_orders_2(sK1)
| v3_lattice3(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3982,f512]) ).
fof(f3986,plain,
( v3_lattice3(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3984,f514]) ).
fof(f3988,plain,
( ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3986,f1164]) ).
fof(f3990,plain,
( v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3988,f516]) ).
fof(f3992,plain,
( v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3990,f1163]) ).
fof(f3993,plain,
( ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3992,f1162]) ).
fof(f3994,plain,
( ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3993,f519]) ).
fof(f3995,plain,
( ~ l1_orders_2(sK0)
| v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3994,f520]) ).
fof(f3996,plain,
( v3_lattice3(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3995,f521]) ).
fof(f3997,plain,
( ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3996,f1161]) ).
fof(f3998,plain,
( v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3997,f523]) ).
fof(f3999,plain,
( v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3998,f1160]) ).
fof(f4000,plain,
( ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f3999,f1159]) ).
fof(f4001,plain,
( ~ v2_orders_2(sK0)
| v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4000,f526]) ).
fof(f4002,plain,
( v18_waybel_0(k3_waybel34(sK0,sK1,sK2),k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4001,f527]) ).
fof(f4003,plain,
( v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| spl40_87 ),
inference(forward_demodulation,[],[f4002,f3300]) ).
fof(f4165,definition,
( spl40_118
<=> v1_lattice3(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl40_118])],[avatar_definition]) ).
fof(f4166,plain,
( ~ v1_lattice3(k7_lattice3(sK1))
| spl40_118 ),
inference(avatar_component_clause,[],[f4165]) ).
fof(f4167,plain,
( v1_lattice3(k7_lattice3(sK1))
| ~ spl40_118 ),
inference(avatar_component_clause,[],[f4165]) ).
fof(f4169,definition,
( spl40_119
<=> v2_lattice3(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl40_119])],[avatar_definition]) ).
fof(f4170,plain,
( v2_lattice3(k7_lattice3(sK1))
| ~ spl40_119 ),
inference(avatar_component_clause,[],[f4169]) ).
fof(f4171,plain,
( ~ v2_lattice3(k7_lattice3(sK1))
| spl40_119 ),
inference(avatar_component_clause,[],[f4169]) ).
fof(f4173,definition,
( spl40_120
<=> v3_lattice3(k7_lattice3(sK1)) ),
introduced(definition,[new_symbols(definition,[spl40_120])],[avatar_definition]) ).
fof(f4174,plain,
( ~ v3_lattice3(k7_lattice3(sK1))
| spl40_120 ),
inference(avatar_component_clause,[],[f4173]) ).
fof(f4175,plain,
( v3_lattice3(k7_lattice3(sK1))
| ~ spl40_120 ),
inference(avatar_component_clause,[],[f4173]) ).
fof(f4177,definition,
( spl40_121
<=> v3_lattice3(k7_lattice3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_121])],[avatar_definition]) ).
fof(f4178,plain,
( ~ v3_lattice3(k7_lattice3(sK0))
| spl40_121 ),
inference(avatar_component_clause,[],[f4177]) ).
fof(f4179,plain,
( v3_lattice3(k7_lattice3(sK0))
| ~ spl40_121 ),
inference(avatar_component_clause,[],[f4177]) ).
fof(f4336,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| v4_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X2)
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(resolution,[],[f1620,f1313]) ).
fof(f4339,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| v4_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(duplicate_literal_removal,[],[f4336]) ).
fof(f4342,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(forward_subsumption_resolution,[],[f4339,f1423]) ).
fof(f4344,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(forward_subsumption_resolution,[],[f4342,f811]) ).
fof(f4346,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(forward_subsumption_resolution,[],[f4344,f792]) ).
fof(f4348,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(forward_subsumption_resolution,[],[f4346,f708]) ).
fof(f4350,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(forward_subsumption_resolution,[],[f4348,f1423]) ).
fof(f4352,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(forward_subsumption_resolution,[],[f4350,f811]) ).
fof(f4354,plain,
! [X2,X3,X0,X1] :
( v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(forward_subsumption_resolution,[],[f4352,f792]) ).
fof(f4356,plain,
! [X2,X3,X0,X1] :
( v3_waybel_1(k1_waybel_1(X0,X1,X2,X3),X0,X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
| v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| v1_funct_2(X2,u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| v4_orders_2(X0)
| ~ v2_lattice3(k7_lattice3(X1))
| v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(k7_lattice3(X0))
| v1_lattice3(k7_lattice3(X0))
| ~ v18_waybel_0(X2,k7_lattice3(X0),k7_lattice3(X1))
| v3_lattice3(k7_lattice3(X0))
| v3_lattice3(k7_lattice3(X1))
| k2_waybel34(k7_lattice3(X1),k7_lattice3(X0),X2) = X3 ),
inference(forward_subsumption_resolution,[],[f4354,f708]) ).
fof(f4386,plain,
( v3_lattice3(sK1)
| ~ v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| spl40_119 ),
inference(resolution,[],[f4171,f1458]) ).
fof(f4389,plain,
( ~ v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| spl40_119 ),
inference(forward_subsumption_resolution,[],[f4386,f1164]) ).
fof(f4392,plain,
( ~ l1_orders_2(sK1)
| spl40_119 ),
inference(forward_subsumption_resolution,[],[f4389,f1694]) ).
fof(f4393,plain,
( $false
| spl40_119 ),
inference(forward_subsumption_resolution,[],[f4392,f514]) ).
fof(f4394,plain,
spl40_119,
inference(avatar_contradiction_clause,[],[f4393]) ).
fof(f4425,plain,
( v3_lattice3(sK1)
| ~ v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl40_118 ),
inference(resolution,[],[f4167,f1457]) ).
fof(f4438,plain,
( ~ v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl40_118 ),
inference(forward_subsumption_resolution,[],[f4425,f1164]) ).
fof(f4446,plain,
( ~ l1_orders_2(sK1)
| ~ spl40_118 ),
inference(forward_subsumption_resolution,[],[f4438,f1694]) ).
fof(f4453,plain,
( $false
| ~ spl40_118 ),
inference(forward_subsumption_resolution,[],[f4446,f514]) ).
fof(f4454,plain,
~ spl40_118,
inference(avatar_contradiction_clause,[],[f4453]) ).
fof(f4666,plain,
( v3_lattice3(sK1)
| ~ v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl40_120 ),
inference(resolution,[],[f4175,f1459]) ).
fof(f4675,plain,
( ~ v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| ~ spl40_120 ),
inference(forward_subsumption_resolution,[],[f4666,f1164]) ).
fof(f4680,plain,
( ~ l1_orders_2(sK1)
| ~ spl40_120 ),
inference(forward_subsumption_resolution,[],[f4675,f1694]) ).
fof(f4685,plain,
( $false
| ~ spl40_120 ),
inference(forward_subsumption_resolution,[],[f4680,f514]) ).
fof(f4686,plain,
~ spl40_120,
inference(avatar_contradiction_clause,[],[f4685]) ).
fof(f4703,plain,
( v3_lattice3(sK0)
| ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl40_121 ),
inference(resolution,[],[f4179,f1459]) ).
fof(f4712,plain,
( ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK0)
| ~ spl40_121 ),
inference(forward_subsumption_resolution,[],[f4703,f1161]) ).
fof(f4717,plain,
( ~ l1_orders_2(sK0)
| ~ spl40_121 ),
inference(forward_subsumption_resolution,[],[f4712,f1695]) ).
fof(f4722,plain,
( $false
| ~ spl40_121 ),
inference(forward_subsumption_resolution,[],[f4717,f521]) ).
fof(f4723,plain,
~ spl40_121,
inference(avatar_contradiction_clause,[],[f4722]) ).
fof(f4739,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(resolution,[],[f3526,f3315]) ).
fof(f4749,plain,
( ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4739,f1165]) ).
fof(f4754,plain,
( ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4749,f514]) ).
fof(f4759,plain,
( v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4754,f516]) ).
fof(f4764,plain,
( v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4759,f1163]) ).
fof(f4769,plain,
( ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4764,f1162]) ).
fof(f4774,plain,
( ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4769,f519]) ).
fof(f4777,plain,
( ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4774,f520]) ).
fof(f4780,plain,
( ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4777,f521]) ).
fof(f4787,plain,
( v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4780,f523]) ).
fof(f4789,plain,
( v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4787,f1160]) ).
fof(f4791,plain,
( ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4789,f1159]) ).
fof(f4793,plain,
( ~ v2_orders_2(sK0)
| v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4791,f526]) ).
fof(f4795,plain,
( v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f4793,f527]) ).
fof(f4803,plain,
( spl40_109
| spl40_87 ),
inference(avatar_split_clause,[],[f4795,f3314,f3903]) ).
fof(f5538,plain,
( ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(resolution,[],[f3904,f1310]) ).
fof(f5544,plain,
( v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5538,f523]) ).
fof(f5545,plain,
( v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5544,f1160]) ).
fof(f5546,plain,
( ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5545,f1159]) ).
fof(f5547,plain,
( ~ v2_orders_2(sK0)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5546,f526]) ).
fof(f5548,plain,
( ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5547,f527]) ).
fof(f5549,plain,
( ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5548,f514]) ).
fof(f5550,plain,
( v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5549,f516]) ).
fof(f5551,plain,
( v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5550,f1163]) ).
fof(f5552,plain,
( ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5551,f1162]) ).
fof(f5553,plain,
( ~ v2_orders_2(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5552,f519]) ).
fof(f5554,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5553,f520]) ).
fof(f5555,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5554,f509]) ).
fof(f5556,plain,
( ~ v1_funct_1(sK2)
| ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5555,f1165]) ).
fof(f5557,plain,
( ~ v17_waybel_0(sK2,sK0,sK1)
| v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5556,f512]) ).
fof(f5558,plain,
( v3_lattice3(sK1)
| v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5557,f510]) ).
fof(f5559,plain,
( v3_lattice3(sK0)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5558,f1164]) ).
fof(f5560,plain,
( ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ l1_orders_2(sK0)
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5559,f1161]) ).
fof(f5561,plain,
( ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f5560,f521]) ).
fof(f5563,definition,
( spl40_229
<=> v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl40_229])],[avatar_definition]) ).
fof(f5565,plain,
( ~ v3_waybel_1(k1_waybel_1(sK0,sK1,sK2,k1_waybel34(sK0,sK1,sK2)),sK0,sK1)
| spl40_229 ),
inference(avatar_component_clause,[],[f5563]) ).
fof(f5567,definition,
( spl40_230
<=> m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_230])],[avatar_definition]) ).
fof(f5568,plain,
( m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl40_230 ),
inference(avatar_component_clause,[],[f5567]) ).
fof(f5569,plain,
( ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_230 ),
inference(avatar_component_clause,[],[f5567]) ).
fof(f5570,plain,
( ~ spl40_229
| spl40_110
| ~ spl40_230
| ~ spl40_109 ),
inference(avatar_split_clause,[],[f5561,f3903,f5567,f3907,f5563]) ).
fof(f5834,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(resolution,[],[f3909,f1318]) ).
fof(f5835,plain,
( ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5834,f1165]) ).
fof(f5836,plain,
( ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5835,f512]) ).
fof(f5837,plain,
( ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5836,f514]) ).
fof(f5838,plain,
( v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5837,f516]) ).
fof(f5839,plain,
( v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5838,f1163]) ).
fof(f5840,plain,
( ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5839,f1162]) ).
fof(f5841,plain,
( ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5840,f519]) ).
fof(f5842,plain,
( ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5841,f520]) ).
fof(f5843,plain,
( ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5842,f521]) ).
fof(f5844,plain,
( v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5843,f523]) ).
fof(f5845,plain,
( v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5844,f1160]) ).
fof(f5846,plain,
( ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5845,f1159]) ).
fof(f5847,plain,
( ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5846,f526]) ).
fof(f5848,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5847,f527]) ).
fof(f5849,plain,
( $false
| spl40_87
| ~ spl40_110 ),
inference(forward_subsumption_resolution,[],[f5848,f3315]) ).
fof(f5850,plain,
( spl40_87
| ~ spl40_110 ),
inference(avatar_contradiction_clause,[],[f5849]) ).
fof(f5854,plain,
( ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ spl40_111 ),
inference(resolution,[],[f3913,f1608]) ).
fof(f5855,plain,
( ~ spl40_230
| ~ spl40_111 ),
inference(avatar_split_clause,[],[f5854,f3911,f5567]) ).
fof(f9107,plain,
( ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(resolution,[],[f3589,f3315]) ).
fof(f9130,plain,
( ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9107,f512]) ).
fof(f9139,plain,
( ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9130,f514]) ).
fof(f9147,plain,
( v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9139,f516]) ).
fof(f9154,plain,
( v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9147,f1163]) ).
fof(f9159,plain,
( ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9154,f1162]) ).
fof(f9164,plain,
( ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9159,f519]) ).
fof(f9167,plain,
( ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9164,f520]) ).
fof(f9170,plain,
( ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9167,f521]) ).
fof(f9173,plain,
( v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9170,f523]) ).
fof(f9176,plain,
( v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9173,f1160]) ).
fof(f9179,plain,
( ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9176,f1159]) ).
fof(f9182,plain,
( ~ v2_orders_2(sK0)
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9179,f526]) ).
fof(f9185,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9182,f527]) ).
fof(f9188,plain,
( k1_waybel34(sK0,sK1,sK2) = k3_waybel34(sK1,sK0,k1_waybel34(sK0,sK1,sK2))
| spl40_87 ),
inference(forward_subsumption_resolution,[],[f9185,f1165]) ).
fof(f12035,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(resolution,[],[f5569,f1319]) ).
fof(f12037,plain,
( ~ v1_funct_1(sK2)
| ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12035,f1165]) ).
fof(f12038,plain,
( ~ l1_orders_2(sK1)
| ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12037,f512]) ).
fof(f12039,plain,
( ~ v2_lattice3(sK1)
| v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12038,f514]) ).
fof(f12040,plain,
( v1_lattice3(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12039,f516]) ).
fof(f12041,plain,
( v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12040,f1163]) ).
fof(f12042,plain,
( ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12041,f1162]) ).
fof(f12043,plain,
( ~ v2_orders_2(sK1)
| ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12042,f519]) ).
fof(f12044,plain,
( ~ l1_orders_2(sK0)
| ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12043,f520]) ).
fof(f12045,plain,
( ~ v2_lattice3(sK0)
| v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12044,f521]) ).
fof(f12046,plain,
( v1_lattice3(sK0)
| v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12045,f523]) ).
fof(f12047,plain,
( v4_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12046,f1160]) ).
fof(f12048,plain,
( ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12047,f1159]) ).
fof(f12049,plain,
( ~ v2_orders_2(sK0)
| m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12048,f526]) ).
fof(f12050,plain,
( m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12049,f527]) ).
fof(f12051,plain,
( $false
| spl40_87
| spl40_230 ),
inference(forward_subsumption_resolution,[],[f12050,f3315]) ).
fof(f12052,plain,
( spl40_87
| spl40_230 ),
inference(avatar_contradiction_clause,[],[f12051]) ).
fof(f53997,plain,
( ~ v3_orders_2(sK0)
| ~ v2_orders_2(sK0)
| ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(resolution,[],[f5565,f4356]) ).
fof(f54003,plain,
( ~ v2_orders_2(sK0)
| ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f53997,f526]) ).
fof(f54006,plain,
( ~ v3_struct_0(sK0)
| ~ l1_orders_2(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54003,f527]) ).
fof(f54009,plain,
( ~ l1_orders_2(sK1)
| v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54006,f1695]) ).
fof(f54012,plain,
( v4_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54009,f514]) ).
fof(f54015,plain,
( ~ v3_orders_2(sK1)
| ~ v2_orders_2(sK1)
| ~ v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54012,f1162]) ).
fof(f54018,plain,
( ~ v2_orders_2(sK1)
| ~ v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54015,f519]) ).
fof(f54021,plain,
( ~ v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54018,f520]) ).
fof(f54024,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54021,f1694]) ).
fof(f54027,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54024,f509]) ).
fof(f54030,plain,
( ~ v1_funct_1(sK2)
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54027,f1165]) ).
fof(f54033,plain,
( ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229 ),
inference(forward_subsumption_resolution,[],[f54030,f512]) ).
fof(f54036,plain,
( v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54033,f5568]) ).
fof(f54039,plain,
( ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_110
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54036,f3908]) ).
fof(f54042,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| ~ spl40_109
| spl40_110
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54039,f3904]) ).
fof(f54045,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v4_orders_2(sK0)
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| ~ spl40_109
| spl40_110
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54042,f521]) ).
fof(f54048,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_lattice3(k7_lattice3(sK1))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| ~ spl40_109
| spl40_110
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54045,f1159]) ).
fof(f54051,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_lattice3(k7_lattice3(sK1))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| ~ spl40_109
| spl40_110
| ~ spl40_119
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54048,f4170]) ).
fof(f54054,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v2_lattice3(k7_lattice3(sK0))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54051,f4166]) ).
fof(f54057,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_lattice3(k7_lattice3(sK0))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| ~ spl40_40
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54054,f2580]) ).
fof(f54060,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v18_waybel_0(sK2,k7_lattice3(sK0),k7_lattice3(sK1))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_36
| ~ spl40_40
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54057,f2561]) ).
fof(f54063,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v3_lattice3(k7_lattice3(sK0))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_36
| ~ spl40_40
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54060,f4003]) ).
fof(f54065,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v3_lattice3(k7_lattice3(sK1))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_36
| ~ spl40_40
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54063,f4178]) ).
fof(f54067,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| k1_waybel34(sK0,sK1,sK2) = k2_waybel34(k7_lattice3(sK1),k7_lattice3(sK0),sK2)
| spl40_36
| ~ spl40_40
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54065,f4174]) ).
fof(f54069,plain,
( ~ m2_relset_1(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| spl40_36
| ~ spl40_40
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54067,f3302]) ).
fof(f54071,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(k7_lattice3(sK1)))
| v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl40_20
| ~ spl40_24
| spl40_36
| ~ spl40_40
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_demodulation,[],[f54069,f2471]) ).
fof(f54073,plain,
( v1_funct_2(sK2,u1_struct_0(k7_lattice3(sK0)),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl40_20
| ~ spl40_24
| spl40_36
| ~ spl40_40
| spl40_87
| ~ spl40_89
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54071,f3341]) ).
fof(f54075,plain,
( v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(k7_lattice3(sK1)))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl40_20
| ~ spl40_24
| spl40_36
| ~ spl40_40
| spl40_87
| ~ spl40_89
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_demodulation,[],[f54073,f2471]) ).
fof(f54077,plain,
( ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl40_20
| ~ spl40_24
| spl40_36
| ~ spl40_40
| spl40_87
| spl40_88
| ~ spl40_89
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_subsumption_resolution,[],[f54075,f3320]) ).
fof(f54087,definition,
( spl40_2435
<=> m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_2435])],[avatar_definition]) ).
fof(f54091,definition,
( spl40_2436
<=> v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl40_2436])],[avatar_definition]) ).
fof(f54095,plain,
( ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK0))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ spl40_20
| ~ spl40_24
| spl40_36
| ~ spl40_40
| spl40_87
| spl40_88
| ~ spl40_89
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_demodulation,[],[f54077,f2471]) ).
fof(f54096,plain,
( v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK0))
| ~ spl40_20
| ~ spl40_24
| spl40_36
| ~ spl40_40
| spl40_87
| spl40_88
| ~ spl40_89
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(forward_demodulation,[],[f54095,f2471]) ).
fof(f54097,plain,
( ~ spl40_2435
| spl40_2436
| ~ spl40_20
| ~ spl40_24
| spl40_36
| ~ spl40_40
| spl40_87
| spl40_88
| ~ spl40_89
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230 ),
inference(avatar_split_clause,[],[f54096,f5567,f5563,f4177,f4173,f4169,f4165,f3907,f3903,f3339,f3318,f3314,f2579,f2560,f2382,f2347,f54091,f54087]) ).
fof(f54967,plain,
( m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87 ),
inference(superposition,[],[f1325,f9188]) ).
fof(f54968,plain,
( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87 ),
inference(superposition,[],[f1324,f9188]) ).
fof(f54969,plain,
( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87
| spl40_110 ),
inference(forward_subsumption_resolution,[],[f54968,f3908]) ).
fof(f54970,plain,
( m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ v1_funct_1(k1_waybel34(sK0,sK1,sK2))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87
| spl40_110 ),
inference(forward_subsumption_resolution,[],[f54967,f3908]) ).
fof(f54974,plain,
( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87
| ~ spl40_109
| spl40_110 ),
inference(forward_subsumption_resolution,[],[f54969,f3904]) ).
fof(f54975,plain,
( m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK0)
| ~ l1_orders_2(sK1)
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87
| ~ spl40_109
| spl40_110 ),
inference(forward_subsumption_resolution,[],[f54970,f3904]) ).
fof(f54978,plain,
( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK1)
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87
| ~ spl40_109
| spl40_110 ),
inference(forward_subsumption_resolution,[],[f54974,f521]) ).
fof(f54979,plain,
( m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| ~ l1_orders_2(sK1)
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87
| ~ spl40_109
| spl40_110 ),
inference(forward_subsumption_resolution,[],[f54975,f521]) ).
fof(f54982,plain,
( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87
| ~ spl40_109
| spl40_110 ),
inference(forward_subsumption_resolution,[],[f54978,f514]) ).
fof(f54983,plain,
( m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| m1_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(sK1),u1_struct_0(sK0))
| spl40_87
| ~ spl40_109
| spl40_110 ),
inference(forward_subsumption_resolution,[],[f54979,f514]) ).
fof(f54986,plain,
( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_111 ),
inference(forward_subsumption_resolution,[],[f54982,f3912]) ).
fof(f54987,plain,
( m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(k7_lattice3(sK0)))
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_111 ),
inference(forward_subsumption_resolution,[],[f54983,f3912]) ).
fof(f54990,plain,
( ~ v1_funct_2(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK0))
| ~ spl40_20
| ~ spl40_24
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_111 ),
inference(forward_demodulation,[],[f54986,f2471]) ).
fof(f54991,plain,
( m2_relset_1(k1_waybel34(sK0,sK1,sK2),u1_struct_0(k7_lattice3(sK1)),u1_struct_0(sK0))
| ~ spl40_20
| ~ spl40_24
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_111 ),
inference(forward_demodulation,[],[f54987,f2471]) ).
fof(f54993,plain,
( ~ spl40_2436
| ~ spl40_20
| ~ spl40_24
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_111 ),
inference(avatar_split_clause,[],[f54990,f3911,f3907,f3903,f3314,f2382,f2347,f54091]) ).
fof(f54994,plain,
( spl40_2435
| ~ spl40_20
| ~ spl40_24
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_111 ),
inference(avatar_split_clause,[],[f54991,f3911,f3907,f3903,f3314,f2382,f2347,f54087]) ).
cnf(s19,plain,
( spl40_19
| spl40_20 ),
inference(sat_conversion,[],[f2349]) ).
cnf(s21,plain,
~ spl40_19,
inference(sat_conversion,[],[f2361]) ).
cnf(s23,plain,
( spl40_19
| spl40_24
| ~ spl40_25 ),
inference(sat_conversion,[],[f2389]) ).
cnf(s24,plain,
( spl40_19
| spl40_25 ),
inference(sat_conversion,[],[f2392]) ).
cnf(s54,plain,
~ spl40_36,
inference(sat_conversion,[],[f2722]) ).
cnf(s57,plain,
spl40_40,
inference(sat_conversion,[],[f2741]) ).
cnf(s97,plain,
( ~ spl40_20
| ~ spl40_24
| spl40_87
| ~ spl40_88 ),
inference(sat_conversion,[],[f3321]) ).
cnf(s98,plain,
( ~ spl40_20
| ~ spl40_24
| spl40_87
| spl40_89 ),
inference(sat_conversion,[],[f3342]) ).
cnf(s100,plain,
~ spl40_87,
inference(sat_conversion,[],[f3359]) ).
cnf(s133,plain,
spl40_119,
inference(sat_conversion,[],[f4394]) ).
cnf(s143,plain,
~ spl40_118,
inference(sat_conversion,[],[f4454]) ).
cnf(s148,plain,
~ spl40_120,
inference(sat_conversion,[],[f4686]) ).
cnf(s152,plain,
~ spl40_121,
inference(sat_conversion,[],[f4723]) ).
cnf(s157,plain,
( spl40_87
| spl40_109 ),
inference(sat_conversion,[],[f4803]) ).
cnf(s222,plain,
( ~ spl40_109
| spl40_110
| ~ spl40_229
| ~ spl40_230 ),
inference(sat_conversion,[],[f5570]) ).
cnf(s227,plain,
( spl40_87
| ~ spl40_110 ),
inference(sat_conversion,[],[f5850]) ).
cnf(s228,plain,
( ~ spl40_111
| ~ spl40_230 ),
inference(sat_conversion,[],[f5855]) ).
cnf(s415,plain,
( spl40_87
| spl40_230 ),
inference(sat_conversion,[],[f12052]) ).
cnf(s2081,plain,
( ~ spl40_20
| ~ spl40_24
| spl40_36
| ~ spl40_40
| spl40_87
| spl40_88
| ~ spl40_89
| ~ spl40_109
| spl40_110
| spl40_118
| ~ spl40_119
| spl40_120
| spl40_121
| spl40_229
| ~ spl40_230
| ~ spl40_2435
| spl40_2436 ),
inference(sat_conversion,[],[f54097]) ).
cnf(s2188,plain,
( ~ spl40_20
| ~ spl40_24
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_111
| ~ spl40_2436 ),
inference(sat_conversion,[],[f54993]) ).
cnf(s2189,plain,
( ~ spl40_20
| ~ spl40_24
| spl40_87
| ~ spl40_109
| spl40_110
| spl40_111
| spl40_2435 ),
inference(sat_conversion,[],[f54994]) ).
cnf(s2445,plain,
spl40_230,
inference(rat,[],[s415,s100]) ).
cnf(s2447,plain,
~ spl40_110,
inference(rat,[],[s227,s100]) ).
cnf(s2448,plain,
spl40_109,
inference(rat,[],[s157,s100]) ).
cnf(s2449,plain,
~ spl40_111,
inference(rat,[],[s228,s2445]) ).
cnf(s2451,plain,
~ spl40_229,
inference(rat,[],[s222,s2445,s2447,s2448]) ).
cnf(s2462,plain,
( ~ spl40_20
| ~ spl40_24
| spl40_89 ),
inference(rat,[],[s98,s100]) ).
cnf(s2463,plain,
( ~ spl40_20
| ~ spl40_24
| ~ spl40_88 ),
inference(rat,[],[s97,s100]) ).
cnf(s2490,plain,
spl40_25,
inference(rat,[],[s24,s21]) ).
cnf(s2491,plain,
spl40_24,
inference(rat,[],[s23,s2490,s21]) ).
cnf(s2514,plain,
spl40_20,
inference(rat,[],[s19,s21]) ).
cnf(s2515,plain,
spl40_2435,
inference(rat,[],[s2189,s2491,s2449,s2447,s2448,s100,s2514]) ).
cnf(s2516,plain,
~ spl40_2436,
inference(rat,[],[s2188,s2491,s2449,s2447,s2448,s100,s2514]) ).
cnf(s2519,plain,
spl40_89,
inference(rat,[],[s2462,s2491,s2514]) ).
cnf(s2520,plain,
~ spl40_88,
inference(rat,[],[s2463,s2491,s2514]) ).
cnf(s2542,plain,
$false,
inference(rat,[],[s2081,s2516,s2515,s2445,s2451,s152,s148,s133,s143,s2447,s2448,s2514,s2491,s100,s57,s54,s2519,s2520]) ).
fof(f55007,plain,
$false,
inference(avatar_sat_refutation,[],[s2542]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT354+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:03:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.77/2.84 % (3657388)Will run a generic schedule for satisfiability detection.
% 8.77/2.84 % (3657397)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2973320968:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.77/2.84 % (3657394)% WARNING: option uhcvi not known.
% 8.77/2.84 % (3657396)dis+10_1_sil=32000:sp=arity:random_seed=1495544084:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.77/2.84 % (3657393)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2593895216_2999 on theBenchmark for (2999ds/0Mi)
% 8.77/2.84 % (3657395)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3126639095:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.77/2.84 % (3657394)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3026167895:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.77/2.84 % (3657398)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3663640958:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.77/2.84 % (3657399)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1611756786:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.77/2.84 % (3657397)Instruction limit reached!
% 8.77/2.84 % (3657397)------------------------------
% 8.77/2.84 % (3657397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657397)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657397)Termination reason: Instruction limit
% 8.77/2.84 % (3657397)Termination phase: Saturation
% 8.77/2.84 % (3657397)Time elapsed: 0.037 s
% 8.77/2.84 % (3657397)Peak memory usage: 14 MB
% 8.77/2.84 % (3657397)Instructions burned: 118 (million)
% 8.77/2.84 % (3657424)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1824862025:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.77/2.84 % TRYING [1]
% 8.77/2.84 % TRYING [2]
% 8.77/2.84 % (3657396)Instruction limit reached!
% 8.77/2.84 % (3657396)------------------------------
% 8.77/2.84 % (3657396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657396)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657396)Termination reason: Instruction limit
% 8.77/2.84 % (3657396)Termination phase: Saturation
% 8.77/2.84 % (3657396)Time elapsed: 0.059 s
% 8.77/2.84 % (3657396)Peak memory usage: 13 MB
% 8.77/2.84 % (3657396)Instructions burned: 104 (million)
% 8.77/2.84 % TRYING [3]
% 8.77/2.84 % (3657398)Instruction limit reached!
% 8.77/2.84 % (3657398)------------------------------
% 8.77/2.84 % (3657398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657398)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657398)Termination reason: Instruction limit
% 8.77/2.84 % (3657398)Termination phase: Saturation
% 8.77/2.84 % (3657398)Time elapsed: 0.070 s
% 8.77/2.84 % (3657398)Peak memory usage: 14 MB
% 8.77/2.84 % (3657398)Instructions burned: 132 (million)
% 8.77/2.84 % TRYING [1]
% 8.77/2.84 % TRYING [2]
% 8.77/2.84 % (3657436)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4161391814:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.77/2.84 % TRYING [3]
% 8.77/2.84 % (3657442)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3355143051:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.77/2.84 % (3657399)Instruction limit reached!
% 8.77/2.84 % (3657399)------------------------------
% 8.77/2.84 % (3657399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657399)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657399)Termination reason: Instruction limit
% 8.77/2.84 % (3657399)Termination phase: Saturation
% 8.77/2.84 % (3657399)Time elapsed: 0.094 s
% 8.77/2.84 % (3657399)Peak memory usage: 14 MB
% 8.77/2.84 % (3657399)Instructions burned: 160 (million)
% 8.77/2.84 % (3657457)ott-21_1_sil=16000:fs=off:random_seed=1660865206:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.77/2.84 % TRYING [4]
% 8.77/2.84 % TRYING [4]
% 8.77/2.84 % (3657436)Instruction limit reached!
% 8.77/2.84 % (3657436)------------------------------
% 8.77/2.84 % (3657436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657436)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657436)Termination reason: Instruction limit
% 8.77/2.84 % (3657436)Termination phase: Saturation
% 8.77/2.84 % (3657436)Time elapsed: 0.070 s
% 8.77/2.84 % (3657436)Peak memory usage: 14 MB
% 8.77/2.84 % (3657436)Instructions burned: 131 (million)
% 8.77/2.84 % (3657474)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2303648088:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.77/2.84 % (3657424)Instruction limit reached!
% 8.77/2.84 % (3657424)------------------------------
% 8.77/2.84 % (3657424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657424)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657424)Termination reason: Instruction limit
% 8.77/2.84 % (3657424)Termination phase: Finite model building constraint generation
% 8.77/2.84 % (3657424)Time elapsed: 0.156 s
% 8.77/2.84 % (3657424)Peak memory usage: 34 MB
% 8.77/2.84 % (3657424)Instructions burned: 720 (million)
% 8.77/2.84 % (3657457)Instruction limit reached!
% 8.77/2.84 % (3657457)------------------------------
% 8.77/2.84 % (3657457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657457)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657457)Termination reason: Instruction limit
% 8.77/2.84 % (3657457)Termination phase: Saturation
% 8.77/2.84 % (3657457)Time elapsed: 0.089 s
% 8.77/2.84 % (3657457)Peak memory usage: 13 MB
% 8.77/2.84 % (3657457)Instructions burned: 180 (million)
% 8.77/2.84 % (3657476)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=295299316:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.77/2.84 % (3657477)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1315529753:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.77/2.84 % TRYING [1]
% 8.77/2.84 % TRYING [2]
% 8.77/2.84 % TRYING [3]
% 8.77/2.84 % TRYING [4]
% 8.77/2.84 % (3657476)Instruction limit reached!
% 8.77/2.84 % (3657476)------------------------------
% 8.77/2.84 % (3657476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657476)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657476)Termination reason: Instruction limit
% 8.77/2.84 % (3657476)Termination phase: Finite model building constraint generation
% 8.77/2.84 % (3657476)Time elapsed: 0.189 s
% 8.77/2.84 % (3657476)Peak memory usage: 25 MB
% 8.77/2.84 % (3657476)Instructions burned: 866 (million)
% 8.77/2.84 % (3657503)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=33585638:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.77/2.84 % (3657442)Instruction limit reached!
% 8.77/2.84 % (3657442)------------------------------
% 8.77/2.84 % (3657442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657442)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657442)Termination reason: Instruction limit
% 8.77/2.84 % (3657442)Termination phase: Saturation
% 8.77/2.84 % (3657442)Time elapsed: 0.356 s
% 8.77/2.84 % (3657442)Peak memory usage: 17 MB
% 8.77/2.84 % (3657442)Instructions burned: 686 (million)
% 8.77/2.84 % (3657505)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2360043830:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 8.77/2.84 % (3657474)Instruction limit reached!
% 8.77/2.84 % (3657474)------------------------------
% 8.77/2.84 % (3657474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657474)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657474)Termination reason: Instruction limit
% 8.77/2.84 % (3657474)Termination phase: Saturation
% 8.77/2.84 % (3657474)Time elapsed: 0.306 s
% 8.77/2.84 % (3657474)Peak memory usage: 16 MB
% 8.77/2.84 % (3657474)Instructions burned: 478 (million)
% 8.77/2.84 % TRYING [5]
% 8.77/2.84 % (3657507)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3616053957:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.77/2.84 % (3657503)Instruction limit reached!
% 8.77/2.84 % (3657503)------------------------------
% 8.77/2.84 % (3657503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657503)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657503)Termination reason: Instruction limit
% 8.77/2.84 % (3657503)Termination phase: Finite model building constraint generation
% 8.77/2.84 % (3657503)Time elapsed: 0.231 s
% 8.77/2.84 % (3657503)Peak memory usage: 102 MB
% 8.77/2.84 % (3657503)Instructions burned: 890 (million)
% 8.77/2.84 % (3657517)fmb+10_1_sil=64000:random_seed=2127306447:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 8.77/2.84 % TRYING [1]
% 8.77/2.84 % TRYING [2]
% 8.77/2.84 % TRYING [3]
% 8.77/2.84 % TRYING [4]
% 8.77/2.84 % (3657477)Instruction limit reached!
% 8.77/2.84 % (3657477)------------------------------
% 8.77/2.84 % (3657477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657477)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657477)Termination reason: Instruction limit
% 8.77/2.84 % (3657477)Termination phase: Saturation
% 8.77/2.84 % (3657477)Time elapsed: 0.628 s
% 8.77/2.84 % (3657477)Peak memory usage: 27 MB
% 8.77/2.84 % (3657477)Instructions burned: 1179 (million)
% 8.77/2.84 % (3657530)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=64529494:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.77/2.84 % (3657505)Instruction limit reached!
% 8.77/2.84 % (3657505)------------------------------
% 8.77/2.84 % (3657505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657505)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657505)Termination reason: Instruction limit
% 8.77/2.84 % (3657505)Termination phase: Saturation
% 8.77/2.84 % (3657505)Time elapsed: 0.423 s
% 8.77/2.84 % (3657505)Peak memory usage: 23 MB
% 8.77/2.84 % (3657505)Instructions burned: 693 (million)
% 8.77/2.84 % TRYING [20]
% 8.77/2.84 % (3657532)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1989276813:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.77/2.84 % TRYING [8]
% 8.77/2.84 % (3657507)Instruction limit reached!
% 8.77/2.84 % (3657507)------------------------------
% 8.77/2.84 % (3657507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657507)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657507)Termination reason: Instruction limit
% 8.77/2.84 % (3657507)Termination phase: Saturation
% 8.77/2.84 % (3657507)Time elapsed: 0.477 s
% 8.77/2.84 % (3657507)Peak memory usage: 20 MB
% 8.77/2.84 % (3657507)Instructions burned: 880 (million)
% 8.77/2.84 % (3657541)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=634490805:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.77/2.84 % (3657532)Instruction limit reached!
% 8.77/2.84 % (3657532)------------------------------
% 8.77/2.84 % (3657532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.84 % (3657532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.84 % (3657532)CaDiCaL version: 2.1.3
% 8.77/2.84 % (3657532)Termination reason: Instruction limit
% 8.77/2.84 % (3657532)Termination phase: Finite model building constraint generation
% 8.77/2.84 % (3657532)Time elapsed: 0.307 s
% 8.77/2.84 % (3657532)Peak memory usage: 48 MB
% 8.77/2.84 % (3657532)Instructions burned: 923 (million)
% 8.77/2.84 % (3657549)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3419302776:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 8.77/2.84 % TRYING [5]
% 8.77/2.84 % TRYING [6]
% 8.77/2.84 % (3657394) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3657388-3657394"...
% 8.77/2.84 % (3657394)...printing done.
% 8.77/2.84 % (3657394)Refutation found. Thanks to Tanya!
% 8.77/2.84 % SZS status Theorem for theBenchmark
% 8.77/2.84 % SZS output start Proof for theBenchmark
% See solution above
% 8.77/2.85 % (3657394)------------------------------
% 8.77/2.85 % (3657394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/2.85 % (3657394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.85 % (3657394)CaDiCaL version: 2.1.3
% 8.77/2.85 % (3657394)Termination reason: Refutation
% 8.77/2.85 % (3657394)Time elapsed: 2.296 s
% 8.77/2.85 % (3657394)Peak memory usage: 37 MB
% 8.77/2.85 % (3657394)Instructions burned: 3983 (million)
% 8.77/2.85 % (3657388)Success in time 2.412 s
% 8.77/2.85 % Vampire exiting
%------------------------------------------------------------------------------