%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT380+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Thu Sep 24 01:03:02 PM UTC 2026
% Result : Theorem 18.92s 3.03s
% Output : CNFRefutation 19.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 154
% Syntax : Number of formulae : 666 ( 105 unt; 112 def)
% Number of atoms : 4247 ( 0 equ)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 6235 (2654 ~;2757 |; 624 &)
% ( 117 <=>; 82 =>; 0 <=; 1 <~>)
% Maximal formula depth : 42 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 157 ( 156 usr; 113 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-4 aty)
% Number of variables : 381 ( 368 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ( v2_waybel_8(B)
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v22_waybel_0(C,A,B)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B)))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ( v2_waybel_8(B)
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v22_waybel_0(C,A,B)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B)))) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v25_waybel_0(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v1_yellow_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v24_waybel_0(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( ( v6_yellow_0(B,A)
& v4_yellow_0(B,A)
& ~ v3_struct_0(B) )
=> ( v6_yellow_0(B,A)
& v4_yellow_0(B,A)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& ~ v3_struct_0(B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v4_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v22_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v5_orders_3(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& ~ v1_xboole_0(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& l1_orders_2(A)
& v2_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v19_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v5_orders_3(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v2_waybel_8(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( v3_waybel_3(A)
& v2_waybel_3(A)
& v24_waybel_0(A)
& v2_yellow_0(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v5_waybel_1(C,B,A)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v22_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v18_waybel_0(C,A,B)
& v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& ~ v1_xboole_0(C)
& v1_funct_1(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v2_waybel_8(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v1_waybel_8(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_waybel_3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_waybel_3(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A] :
( l1_orders_2(A)
=> ( v3_yellow_0(A)
=> ( v2_yellow_0(A)
& v1_yellow_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v2_waybel_3(A)
& v24_waybel_0(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( v3_waybel_3(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [A,B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v18_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v4_waybel34(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [A,B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v21_waybel_0(C,A,B)
& v19_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A,B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v4_waybel34(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v5_waybel34(C,A,B)
& v20_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A,B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v18_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v22_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v24_waybel_0(A)
& v1_lattice3(A)
& v2_orders_2(A) )
=> ( v2_yellow_0(A)
& v1_lattice3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [A,B,C] :
( ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& l1_orders_2(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( m2_relset_1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(k1_waybel34(A,B,C)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( m1_yellow_0(k1_waybel_8(A),A)
& v4_yellow_0(k1_waybel_8(A),A)
& v1_orders_2(k1_waybel_8(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
? [A] : l1_orders_2(A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( v7_waybel34(k1_waybel_8(A),A)
& v6_waybel34(k1_waybel_8(A),A)
& v1_lattice3(k1_waybel_8(A))
& v6_yellow_0(k1_waybel_8(A),A)
& v4_yellow_0(k1_waybel_8(A),A)
& v1_yellow_0(k1_waybel_8(A))
& v4_orders_2(k1_waybel_8(A))
& v3_orders_2(k1_waybel_8(A))
& v2_orders_2(k1_waybel_8(A))
& v1_orders_2(k1_waybel_8(A))
& ~ v3_struct_0(k1_waybel_8(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [A,B,C] :
( ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( v5_orders_3(k1_waybel34(A,B,C),B,A)
& v5_waybel_1(k1_waybel34(A,B,C),A,B)
& v22_waybel_0(k1_waybel34(A,B,C),B,A)
& v20_waybel_0(k1_waybel34(A,B,C),B,A)
& v18_waybel_0(k1_waybel34(A,B,C),B,A)
& v1_partfun1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& ~ v1_xboole_0(k1_waybel34(A,B,C))
& v1_funct_1(k1_waybel34(A,B,C))
& v1_relat_1(k1_waybel34(A,B,C)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v6_yellow_0(k1_waybel_8(A),A)
& v4_yellow_0(k1_waybel_8(A),A)
& v4_orders_2(k1_waybel_8(A))
& v3_orders_2(k1_waybel_8(A))
& v2_orders_2(k1_waybel_8(A))
& v1_orders_2(k1_waybel_8(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,axiom,
? [A] :
( v25_waybel_0(A)
& v24_waybel_0(A)
& v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& v1_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
? [A] :
( v3_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& v1_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,axiom,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,axiom,
? [A] :
( v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& v1_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,axiom,
? [A] :
( v3_waybel_3(A)
& v2_waybel_3(A)
& v25_waybel_0(A)
& v24_waybel_0(A)
& v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& v1_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,axiom,
? [A] :
( v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A)
& l1_orders_2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f122,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v22_waybel_0(C,A,B)
=> v1_waybel34(k1_waybel34(A,B,C),B,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f128,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_waybel_3(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v1_waybel34(k1_waybel34(A,B,C),B,A)
=> v22_waybel_0(C,A,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f133,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(C,B,A)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(C) )
=> ( v1_waybel34(C,B,A)
=> v3_waybel34(C,B,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(C,B,A)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(C) )
=> ( ( v3_waybel34(C,B,A)
& v2_waybel_8(B) )
=> v1_waybel34(C,B,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(C,B,A)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(C) )
=> ( v3_waybel34(C,B,A)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B)))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f140,plain,
? [A] :
( ? [B] :
( ? [C] :
( ( v22_waybel_0(C,A,B)
<~> ( m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B)))) ) )
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
& v2_waybel_8(B)
& l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
& l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f141,plain,
? [A] :
( ? [B] :
( ? [C] :
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))))
| ~ v22_waybel_0(C,A,B) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B)))) )
| v22_waybel_0(C,A,B) )
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
& v2_waybel_8(B)
& l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
& l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) ),
inference(NNF_transformation,[status(thm)],[f140]) ).
fof(f142,plain,
( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),k1_waybel_8(sK1_skl),k1_waybel_8(sK0_skl))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))))
| ~ v22_waybel_0(sK2_skl,sK0_skl,sK1_skl) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
& v4_waybel34(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),k1_waybel_8(sK1_skl),k1_waybel_8(sK0_skl))
& v1_funct_2(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
& v1_funct_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl)))) )
| v22_waybel_0(sK2_skl,sK0_skl,sK1_skl) )
& m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
& v17_waybel_0(sK2_skl,sK0_skl,sK1_skl)
& v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
& v1_funct_1(sK2_skl)
& v2_waybel_8(sK1_skl)
& l1_orders_2(sK1_skl)
& v3_lattice3(sK1_skl)
& v2_lattice3(sK1_skl)
& v1_lattice3(sK1_skl)
& v4_orders_2(sK1_skl)
& v3_orders_2(sK1_skl)
& v2_orders_2(sK1_skl)
& l1_orders_2(sK0_skl)
& v3_lattice3(sK0_skl)
& v2_lattice3(sK0_skl)
& v1_lattice3(sK0_skl)
& v4_orders_2(sK0_skl)
& v3_orders_2(sK0_skl)
& v2_orders_2(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f141]) ).
fof(f143,plain,
v2_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f144,plain,
v3_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f145,plain,
v4_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f146,plain,
v1_lattice3(sK0_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f147,plain,
v2_lattice3(sK0_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f148,plain,
v3_lattice3(sK0_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f149,plain,
l1_orders_2(sK0_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f150,plain,
v2_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f151,plain,
v3_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f152,plain,
v4_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f153,plain,
v1_lattice3(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f154,plain,
v2_lattice3(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f155,plain,
v3_lattice3(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f156,plain,
l1_orders_2(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f157,plain,
v2_waybel_8(sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f158,plain,
v1_funct_1(sK2_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f159,plain,
v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f160,plain,
v17_waybel_0(sK2_skl,sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f161,plain,
m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f162,plain,
( v1_funct_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))))
| v22_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f163,plain,
( v1_funct_2(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
| v22_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f164,plain,
( v4_waybel34(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),k1_waybel_8(sK1_skl),k1_waybel_8(sK0_skl))
| v22_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f165,plain,
( m2_relset_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
| v22_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f166,plain,
( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),k1_waybel_8(sK1_skl),k1_waybel_8(sK0_skl))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))))
| ~ v22_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f173,plain,
! [A] :
( ( v25_waybel_0(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v3_lattice3(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
! [X0] :
( v24_waybel_0(X0)
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f177,plain,
! [X0] :
( v25_waybel_0(X0)
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f181,plain,
! [A] :
( ( v1_yellow_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v25_waybel_0(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f184,plain,
! [X0] :
( v1_yellow_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f189,plain,
! [A] :
( ( v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v24_waybel_0(A)
| ~ v1_yellow_0(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f195,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f196,plain,
! [X0] :
( v3_lattice3(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f199,plain,
! [X0] :
( v3_yellow_0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f200,plain,
! [A] :
( ! [B] :
( ( v6_yellow_0(B,A)
& v4_yellow_0(B,A)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& ~ v3_struct_0(B) )
| ~ v6_yellow_0(B,A)
| ~ v4_yellow_0(B,A)
| v3_struct_0(B)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f204,plain,
! [X0,X1] :
( v1_lattice3(X1)
| ~ v6_yellow_0(X1,X0)
| ~ v4_yellow_0(X1,X0)
| v3_struct_0(X1)
| ~ m1_yellow_0(X1,X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f251,plain,
! [A] :
( v1_funct_1(A)
| ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f252,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f253,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v1_lattice3(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f254,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f257,plain,
! [A,B,C] :
( v1_relat_1(C)
| ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f258,plain,
! [C] :
( v1_relat_1(C)
| ! [A,B] : ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(miniscoping,[status(thm)],[f257]) ).
fof(f259,plain,
! [X0,X1,X2] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f260,plain,
! [A,B] :
( ! [C] :
( ( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v5_orders_3(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& ~ v1_xboole_0(C) )
| ~ v22_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v4_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| ~ v4_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ v22_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f265,plain,
! [X0,X1,X2] :
( v1_partfun1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v22_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f266,plain,
! [A,B] :
( ! [C] :
( ( v5_orders_3(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ v19_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v2_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B)
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f269,plain,
! [X0,X1,X2] :
( v5_orders_3(X2,X0,X1)
| ~ v19_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f274,plain,
! [A] :
( ( v3_waybel_3(A)
& v2_waybel_3(A)
& v24_waybel_0(A)
& v2_yellow_0(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v2_waybel_8(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f281,plain,
! [X0] :
( v2_yellow_0(X0)
| ~ v2_waybel_8(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f282,plain,
! [X0] :
( v24_waybel_0(X0)
| ~ v2_waybel_8(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f283,plain,
! [X0] :
( v2_waybel_3(X0)
| ~ v2_waybel_8(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f284,plain,
! [X0] :
( v3_waybel_3(X0)
| ~ v2_waybel_8(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f310,plain,
! [A] :
( ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ~ v1_funct_1(A)
| ~ v1_xboole_0(A)
| ~ v1_relat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f313,plain,
! [X0] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f314,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f315,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f321,plain,
! [A,B] :
( ! [C] :
( ( v22_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v18_waybel_0(C,A,B)
& v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& ~ v1_xboole_0(C)
& v1_funct_1(C) )
| ~ v5_waybel_1(C,B,A)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f326,plain,
! [X0,X1,X2] :
( v18_waybel_0(X2,X0,X1)
| ~ v5_waybel_1(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f329,plain,
! [A] :
( ( v1_waybel_8(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v2_waybel_8(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f333,plain,
! [X0] :
( v1_waybel_8(X0)
| ~ v2_waybel_8(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f346,plain,
! [A] :
( ( v2_waybel_3(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v3_waybel_3(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f350,plain,
! [X0] :
( v2_waybel_3(X0)
| ~ v3_waybel_3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f351,plain,
! [A] :
( ( v2_yellow_0(A)
& v1_yellow_0(A) )
| ~ v3_yellow_0(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f353,plain,
! [X0] :
( v2_yellow_0(X0)
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f351]) ).
fof(f365,plain,
! [A] :
( ( v3_waybel_3(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v2_waybel_3(A)
| ~ v24_waybel_0(A)
| ~ v1_yellow_0(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f372,plain,
! [X0] :
( v3_waybel_3(X0)
| ~ v2_waybel_3(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f365]) ).
fof(f375,plain,
! [A,B] :
( ! [C] :
( ( v4_waybel34(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ v18_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f378,plain,
! [X0,X1,X2] :
( v4_waybel34(X2,X0,X1)
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f375]) ).
fof(f379,plain,
! [A,B] :
( ! [C] :
( ( v21_waybel_0(C,A,B)
& v19_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ v17_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f382,plain,
! [X0,X1,X2] :
( v19_waybel_0(X2,X0,X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f383,plain,
! [X0,X1,X2] :
( v21_waybel_0(X2,X0,X1)
| ~ v17_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f387,plain,
! [A,B] :
( ! [C] :
( ( v5_waybel34(C,A,B)
& v20_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ v4_waybel34(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f390,plain,
! [X0,X1,X2] :
( v20_waybel_0(X2,X0,X1)
| ~ v4_waybel34(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f387]) ).
fof(f391,plain,
! [X0,X1,X2] :
( v5_waybel34(X2,X0,X1)
| ~ v4_waybel34(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f387]) ).
fof(f392,plain,
! [A,B] :
( ! [C] :
( ( v22_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ v18_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f396,plain,
! [X0,X1,X2] :
( v22_waybel_0(X2,X0,X1)
| ~ v18_waybel_0(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f403,plain,
! [A] :
( ( v2_yellow_0(A)
& v1_lattice3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v24_waybel_0(A)
| ~ v1_lattice3(A)
| ~ v2_orders_2(A)
| ~ l1_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f407,plain,
! [X0] :
( v2_yellow_0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f411,plain,
! [A,B,C] :
( ( m2_relset_1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(k1_waybel34(A,B,C)) )
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_orders_2(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B)
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f412,plain,
! [X0,X1,X2] :
( v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f413,plain,
! [X0,X1,X2] :
( v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f414,plain,
! [X0,X1,X2] :
( m2_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f411]) ).
fof(f415,plain,
! [A] :
( ( m1_yellow_0(k1_waybel_8(A),A)
& v4_yellow_0(k1_waybel_8(A),A)
& v1_orders_2(k1_waybel_8(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f59]) ).
fof(f417,plain,
! [X0] :
( v4_yellow_0(k1_waybel_8(X0),X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f418,plain,
! [X0] :
( m1_yellow_0(k1_waybel_8(X0),X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f415]) ).
fof(f429,plain,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m2_relset_1(C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f70]) ).
fof(f430,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f433,plain,
l1_orders_2(sK3_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f73]) ).
fof(f434,plain,
l1_orders_2(sK3_skl),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f469,plain,
! [A] :
( ( v7_waybel34(k1_waybel_8(A),A)
& v6_waybel34(k1_waybel_8(A),A)
& v1_lattice3(k1_waybel_8(A))
& v6_yellow_0(k1_waybel_8(A),A)
& v4_yellow_0(k1_waybel_8(A),A)
& v1_yellow_0(k1_waybel_8(A))
& v4_orders_2(k1_waybel_8(A))
& v3_orders_2(k1_waybel_8(A))
& v2_orders_2(k1_waybel_8(A))
& v1_orders_2(k1_waybel_8(A))
& ~ v3_struct_0(k1_waybel_8(A)) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f83]) ).
fof(f470,plain,
! [X0] :
( ~ v3_struct_0(k1_waybel_8(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f472,plain,
! [X0] :
( v2_orders_2(k1_waybel_8(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f474,plain,
! [X0] :
( v4_orders_2(k1_waybel_8(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f483,plain,
! [A,B,C] :
( ( v5_orders_3(k1_waybel34(A,B,C),B,A)
& v5_waybel_1(k1_waybel34(A,B,C),A,B)
& v22_waybel_0(k1_waybel34(A,B,C),B,A)
& v20_waybel_0(k1_waybel34(A,B,C),B,A)
& v18_waybel_0(k1_waybel34(A,B,C),B,A)
& v1_partfun1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& ~ v1_xboole_0(k1_waybel34(A,B,C))
& v1_funct_1(k1_waybel34(A,B,C))
& v1_relat_1(k1_waybel34(A,B,C)) )
| ~ m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v17_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_orders_2(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B)
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f85]) ).
fof(f486,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(k1_waybel34(X0,X1,X2))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f489,plain,
! [X0,X1,X2] :
( v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f500,plain,
! [A] :
( ( v6_yellow_0(k1_waybel_8(A),A)
& v4_yellow_0(k1_waybel_8(A),A)
& v4_orders_2(k1_waybel_8(A))
& v3_orders_2(k1_waybel_8(A))
& v2_orders_2(k1_waybel_8(A))
& v1_orders_2(k1_waybel_8(A)) )
| ~ l1_orders_2(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f87]) ).
fof(f503,plain,
! [X0] :
( v3_orders_2(k1_waybel_8(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f506,plain,
! [X0] :
( v6_yellow_0(k1_waybel_8(X0),X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f541,plain,
( v25_waybel_0(sK9_skl)
& v24_waybel_0(sK9_skl)
& v3_yellow_0(sK9_skl)
& v2_yellow_0(sK9_skl)
& v1_yellow_0(sK9_skl)
& v3_lattice3(sK9_skl)
& v2_lattice3(sK9_skl)
& v1_lattice3(sK9_skl)
& v4_orders_2(sK9_skl)
& v3_orders_2(sK9_skl)
& v2_orders_2(sK9_skl)
& v1_orders_2(sK9_skl)
& ~ v3_struct_0(sK9_skl)
& l1_orders_2(sK9_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f97]) ).
fof(f542,plain,
l1_orders_2(sK9_skl),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f545,plain,
v2_orders_2(sK9_skl),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f546,plain,
v3_orders_2(sK9_skl),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f547,plain,
v4_orders_2(sK9_skl),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f548,plain,
v1_lattice3(sK9_skl),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f551,plain,
v1_yellow_0(sK9_skl),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f554,plain,
v24_waybel_0(sK9_skl),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f562,plain,
( v3_lattice3(sK12_skl)
& v4_orders_2(sK12_skl)
& v3_orders_2(sK12_skl)
& v2_orders_2(sK12_skl)
& v1_orders_2(sK12_skl)
& ~ v3_struct_0(sK12_skl)
& l1_orders_2(sK12_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(A,sK12_skl)],[f100]) ).
fof(f563,plain,
l1_orders_2(sK12_skl),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f566,plain,
v2_orders_2(sK12_skl),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f567,plain,
v3_orders_2(sK12_skl),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f568,plain,
v4_orders_2(sK12_skl),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f569,plain,
v3_lattice3(sK12_skl),
inference(cnf_transformation,[status(thm)],[f562]) ).
fof(f593,plain,
( v1_funct_1(sK16_skl)
& v1_xboole_0(sK16_skl)
& v1_relat_1(sK16_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(A,sK16_skl)],[f104]) ).
fof(f594,plain,
v1_relat_1(sK16_skl),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
v1_xboole_0(sK16_skl),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f597,plain,
( v3_lattice3(sK17_skl)
& v2_lattice3(sK17_skl)
& v1_lattice3(sK17_skl)
& v4_orders_2(sK17_skl)
& v3_orders_2(sK17_skl)
& v2_orders_2(sK17_skl)
& v1_orders_2(sK17_skl)
& ~ v3_struct_0(sK17_skl)
& l1_orders_2(sK17_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(A,sK17_skl)],[f105]) ).
fof(f598,plain,
l1_orders_2(sK17_skl),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f601,plain,
v2_orders_2(sK17_skl),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f602,plain,
v3_orders_2(sK17_skl),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f603,plain,
v4_orders_2(sK17_skl),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f606,plain,
v3_lattice3(sK17_skl),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f617,plain,
( v3_waybel_3(sK19_skl)
& v2_waybel_3(sK19_skl)
& v25_waybel_0(sK19_skl)
& v24_waybel_0(sK19_skl)
& v3_yellow_0(sK19_skl)
& v2_yellow_0(sK19_skl)
& v1_yellow_0(sK19_skl)
& v3_lattice3(sK19_skl)
& v2_lattice3(sK19_skl)
& v1_lattice3(sK19_skl)
& v4_orders_2(sK19_skl)
& v3_orders_2(sK19_skl)
& v2_orders_2(sK19_skl)
& v1_orders_2(sK19_skl)
& ~ v3_struct_0(sK19_skl)
& l1_orders_2(sK19_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl]),skolemize(A,sK19_skl)],[f107]) ).
fof(f618,plain,
l1_orders_2(sK19_skl),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f621,plain,
v2_orders_2(sK19_skl),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f622,plain,
v3_orders_2(sK19_skl),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f623,plain,
v4_orders_2(sK19_skl),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f626,plain,
v3_lattice3(sK19_skl),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f627,plain,
v1_yellow_0(sK19_skl),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f632,plain,
v2_waybel_3(sK19_skl),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f634,plain,
( v3_yellow_0(sK20_skl)
& v2_yellow_0(sK20_skl)
& v1_yellow_0(sK20_skl)
& v3_lattice3(sK20_skl)
& v2_lattice3(sK20_skl)
& v1_lattice3(sK20_skl)
& v4_orders_2(sK20_skl)
& v3_orders_2(sK20_skl)
& v2_orders_2(sK20_skl)
& ~ v3_struct_0(sK20_skl)
& l1_orders_2(sK20_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl]),skolemize(A,sK20_skl)],[f108]) ).
fof(f635,plain,
l1_orders_2(sK20_skl),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f637,plain,
v2_orders_2(sK20_skl),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f638,plain,
v3_orders_2(sK20_skl),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f639,plain,
v4_orders_2(sK20_skl),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f642,plain,
v3_lattice3(sK20_skl),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f737,plain,
! [A,B,C] :
( ( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f122]) ).
fof(f738,plain,
( ! [A,B,C] :
( ~ m1_relset_1(C,A,B)
| m2_relset_1(C,A,B) )
& ! [A,B,C] :
( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(miniscoping,[status(thm)],[f737]) ).
fof(f739,plain,
! [X0,X1,X2] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f752,plain,
! [A] :
( ! [B] :
( ! [C] :
( v1_waybel34(k1_waybel34(A,B,C),B,A)
| ~ v22_waybel_0(C,A,B)
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v17_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f127]) ).
fof(f753,plain,
! [X0,X1,X2] :
( v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v22_waybel_0(X2,X0,X1)
| ~ m2_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) ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f754,plain,
! [A] :
( ! [B] :
( ! [C] :
( v22_waybel_0(C,A,B)
| ~ v1_waybel34(k1_waybel34(A,B,C),B,A)
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v17_waybel_0(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v3_waybel_3(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f128]) ).
fof(f755,plain,
! [X0,X1,X2] :
( v22_waybel_0(X2,X0,X1)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ m2_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_waybel_3(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) ),
inference(cnf_transformation,[status(thm)],[f754]) ).
fof(f768,plain,
! [A] :
( ! [B] :
( ! [C] :
( v3_waybel34(C,B,A)
| ~ v1_waybel34(C,B,A)
| ~ m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v18_waybel_0(C,B,A)
| ~ v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f133]) ).
fof(f769,plain,
! [X0,X1,X2] :
( v3_waybel34(X2,X1,X0)
| ~ v1_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f770,plain,
! [A] :
( ! [B] :
( ! [C] :
( v1_waybel34(C,B,A)
| ~ v3_waybel34(C,B,A)
| ~ v2_waybel_8(B)
| ~ m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v18_waybel_0(C,B,A)
| ~ v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f134]) ).
fof(f771,plain,
! [X0,X1,X2] :
( v1_waybel34(X2,X1,X0)
| ~ v3_waybel34(X2,X1,X0)
| ~ v2_waybel_8(X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f770]) ).
fof(f774,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( v3_waybel34(C,B,A)
<=> ( m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B)))) ) )
| ~ m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v18_waybel_0(C,B,A)
| ~ v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(pre_NNF_transformation,[status(thm)],[f136]) ).
fof(f775,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))))
| v3_waybel34(C,B,A) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B)))) )
| ~ v3_waybel34(C,B,A) ) )
| ~ m2_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v18_waybel_0(C,B,A)
| ~ v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(C) )
| ~ l1_orders_2(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(NNF_transformation,[status(thm)],[f774]) ).
fof(f776,plain,
! [X0,X1,X2] :
( v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))))
| ~ v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f775]) ).
fof(f777,plain,
! [X0,X1,X2] :
( v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f775]) ).
fof(f778,plain,
! [X0,X1,X2] :
( v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f775]) ).
fof(f779,plain,
! [X0,X1,X2] :
( m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f775]) ).
fof(f780,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),k1_waybel_8(X1),k1_waybel_8(X0))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))),u1_struct_0(k1_waybel_8(X1)),u1_struct_0(k1_waybel_8(X0)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2,u1_struct_0(k1_waybel_8(X1))))
| v3_waybel34(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v18_waybel_0(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(cnf_transformation,[status(thm)],[f775]) ).
fof(f799,definition,
( sQ0_spl
<=> v22_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f802,definition,
( sQ1_spl
<=> v1_funct_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( sQ1_spl
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl)))) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f162,f799,f802]) ).
fof(f806,definition,
( sQ2_spl
<=> v1_funct_2(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( sQ2_spl
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl))) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f163,f799,f806]) ).
fof(f810,definition,
( sQ3_spl
<=> v4_waybel34(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),k1_waybel_8(sK1_skl),k1_waybel_8(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( sQ3_spl
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),k1_waybel_8(sK1_skl),k1_waybel_8(sK0_skl)) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f164,f799,f810]) ).
fof(f814,definition,
( sQ4_spl
<=> m2_relset_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ4_spl
| m2_relset_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl))) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( sQ4_spl
| ~ m2_relset_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl))) ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f165,f799,f814]) ).
fof(f818,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f166,f799,f802,f806,f810,f814]) ).
fof(f819,plain,
( v24_waybel_0(sK9_skl)
| ~ v3_lattice3(sK9_skl)
| ~ v2_orders_2(sK9_skl)
| v3_struct_0(sK9_skl) ),
inference(resolution,[status(thm)],[f176,f542]) ).
fof(f822,plain,
( v24_waybel_0(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f176,f149]) ).
fof(f823,definition,
( sQ5_spl
<=> v3_struct_0(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ5_spl
| v3_struct_0(sK9_skl) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ6_spl
<=> v2_orders_2(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( sQ6_spl
| ~ v2_orders_2(sK9_skl) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ7_spl
<=> v3_lattice3(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f832,definition,
( sQ8_spl
<=> v24_waybel_0(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f819,f823,f826,f829,f832]) ).
fof(f849,definition,
( sQ13_spl
<=> v3_struct_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ13_spl
| v3_struct_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
( sQ14_spl
<=> v2_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ14_spl
| ~ v2_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ15_spl
<=> v3_lattice3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( sQ15_spl
| ~ v3_lattice3(sK1_skl) ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,definition,
( sQ16_spl
<=> v24_waybel_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ16_spl
| v24_waybel_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f862,definition,
( sQ17_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ17_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,definition,
( sQ18_spl
<=> v2_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( sQ18_spl
| ~ v2_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,definition,
( sQ19_spl
<=> v3_lattice3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( sQ19_spl
| ~ v3_lattice3(sK0_skl) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,definition,
( sQ20_spl
<=> v24_waybel_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ20_spl
| v24_waybel_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,plain,
( sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f822,f862,f865,f868,f871]) ).
fof(f875,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f870,f148]) ).
fof(f876,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f875]) ).
fof(f877,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f867,f143]) ).
fof(f878,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f877]) ).
fof(f879,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f155]) ).
fof(f880,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f879]) ).
fof(f881,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f150]) ).
fof(f882,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f881]) ).
fof(f883,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f828,f545]) ).
fof(f884,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f885,plain,
( v25_waybel_0(sK9_skl)
| ~ v3_lattice3(sK9_skl)
| ~ v2_orders_2(sK9_skl)
| v3_struct_0(sK9_skl) ),
inference(resolution,[status(thm)],[f177,f542]) ).
fof(f887,plain,
( v25_waybel_0(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| v3_struct_0(sK1_skl) ),
inference(resolution,[status(thm)],[f177,f156]) ).
fof(f888,plain,
( v25_waybel_0(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f177,f149]) ).
fof(f889,definition,
( sQ21_spl
<=> v25_waybel_0(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( sQ21_spl
| ~ sQ7_spl
| ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f885,f823,f826,f829,f889]) ).
fof(f897,definition,
( sQ23_spl
<=> v25_waybel_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ23_spl
| v25_waybel_0(sK1_skl) ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( sQ23_spl
| ~ sQ15_spl
| ~ sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f887,f849,f852,f855,f897]) ).
fof(f901,definition,
( sQ24_spl
<=> v25_waybel_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ24_spl
| v25_waybel_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( sQ24_spl
| ~ sQ19_spl
| ~ sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f888,f862,f865,f868,f901]) ).
fof(f905,plain,
( ~ sQ17_spl
| ~ v2_lattice3(sK0_skl)
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f863,f315]) ).
fof(f907,definition,
( sQ25_spl
<=> l1_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( sQ25_spl
| ~ l1_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,definition,
( sQ26_spl
<=> v2_lattice3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( sQ26_spl
| ~ v2_lattice3(sK0_skl) ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,plain,
( ~ sQ17_spl
| ~ sQ26_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f905,f907,f910,f862]) ).
fof(f914,definition,
( sQ27_spl
<=> v1_lattice3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( sQ27_spl
| ~ v1_lattice3(sK0_skl) ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f918,plain,
( sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f149]) ).
fof(f919,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f916,f146]) ).
fof(f921,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f920]) ).
fof(f922,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f912,f147]) ).
fof(f923,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( v2_yellow_0(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f281,f157]) ).
fof(f925,definition,
( sQ28_spl
<=> l1_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( sQ28_spl
| ~ l1_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,definition,
( sQ29_spl
<=> v3_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( sQ29_spl
| ~ v3_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,definition,
( sQ30_spl
<=> v4_orders_2(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( sQ30_spl
| ~ v4_orders_2(sK1_skl) ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,definition,
( sQ31_spl
<=> v1_lattice3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( sQ31_spl
| ~ v1_lattice3(sK1_skl) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,definition,
( sQ32_spl
<=> v2_lattice3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( sQ32_spl
| ~ v2_lattice3(sK1_skl) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
( sQ33_spl
<=> v2_yellow_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( sQ33_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f924,f925,f852,f928,f931,f934,f937,f940]) ).
fof(f944,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f154]) ).
fof(f945,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f944]) ).
fof(f946,plain,
( sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f153]) ).
fof(f947,plain,
sQ31_spl,
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f152]) ).
fof(f949,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f948]) ).
fof(f950,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f930,f151]) ).
fof(f951,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f952,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f927,f156]) ).
fof(f953,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f952]) ).
fof(f954,plain,
( v24_waybel_0(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f282,f157]) ).
fof(f955,plain,
( sQ16_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f954,f925,f852,f928,f931,f934,f937,f858]) ).
fof(f956,plain,
( ~ sQ13_spl
| ~ v2_lattice3(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f850,f315]) ).
fof(f958,plain,
( ~ sQ13_spl
| ~ sQ32_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f956,f925,f937,f849]) ).
fof(f961,plain,
m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),
inference(resolution,[status(thm)],[f739,f161]) ).
fof(f966,definition,
( sQ34_spl
<=> v1_lattice3(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( sQ34_spl
| ~ v1_lattice3(sK9_skl) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f980,definition,
( sQ36_spl
<=> v2_lattice3(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f991,definition,
( sQ38_spl
<=> v4_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( sQ38_spl
| ~ v4_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,definition,
( sQ39_spl
<=> v1_funct_1(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( sQ39_spl
| ~ v1_funct_1(sK2_skl) ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,definition,
( sQ40_spl
<=> v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( sQ40_spl
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,definition,
( sQ41_spl
<=> v1_xboole_0(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
( sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f999,f159]) ).
fof(f1005,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1004]) ).
fof(f1006,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f158]) ).
fof(f1007,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f1006]) ).
fof(f1008,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f145]) ).
fof(f1009,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1008]) ).
fof(f1014,definition,
( sQ42_spl
<=> v18_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1017,definition,
( sQ43_spl
<=> v4_waybel34(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( v22_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v18_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f396,f961]) ).
fof(f1022,plain,
( sQ0_spl
| ~ sQ42_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| sQ13_spl
| ~ sQ25_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1021,f862,f907,f849,f925,f994,f997,f1014,f799]) ).
fof(f1030,definition,
( sQ45_spl
<=> v3_lattice3(sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( sQ45_spl
| ~ v3_lattice3(sK12_skl) ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1041,definition,
( sQ48_spl
<=> v2_orders_2(sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( sQ48_spl
| ~ v2_orders_2(sK12_skl) ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1052,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f254]) ).
fof(f1054,plain,
( v2_lattice3(sK9_skl)
| ~ v1_yellow_0(sK9_skl)
| ~ v1_lattice3(sK9_skl)
| ~ v4_orders_2(sK9_skl)
| ~ v3_orders_2(sK9_skl)
| ~ v2_orders_2(sK9_skl)
| ~ l1_orders_2(sK9_skl) ),
inference(resolution,[status(thm)],[f1052,f554]) ).
fof(f1057,definition,
( sQ51_spl
<=> l1_orders_2(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
( sQ51_spl
| ~ l1_orders_2(sK9_skl) ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,definition,
( sQ52_spl
<=> v3_orders_2(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( sQ52_spl
| ~ v3_orders_2(sK9_skl) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ53_spl
<=> v4_orders_2(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( sQ53_spl
| ~ v4_orders_2(sK9_skl) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1067,definition,
( sQ54_spl
<=> v1_yellow_0(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( sQ54_spl
| ~ v1_yellow_0(sK9_skl) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( sQ36_spl
| ~ sQ54_spl
| ~ sQ34_spl
| ~ sQ53_spl
| ~ sQ52_spl
| ~ sQ6_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1054,f1057,f826,f1060,f1063,f966,f1067,f980]) ).
fof(f1071,definition,
( sQ55_spl
<=> v1_yellow_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1075,definition,
( sQ56_spl
<=> v3_orders_2(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( sQ56_spl
| ~ v3_orders_2(sK0_skl) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,definition,
( sQ57_spl
<=> v1_yellow_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( ~ sQ57_spl
| v1_yellow_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1082,plain,
! [X0] :
( v3_lattice3(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f196,f254]) ).
fof(f1084,plain,
( v3_lattice3(sK9_skl)
| ~ v1_yellow_0(sK9_skl)
| ~ v1_lattice3(sK9_skl)
| ~ v4_orders_2(sK9_skl)
| ~ v3_orders_2(sK9_skl)
| ~ v2_orders_2(sK9_skl)
| ~ l1_orders_2(sK9_skl) ),
inference(resolution,[status(thm)],[f1082,f554]) ).
fof(f1088,plain,
( sQ7_spl
| ~ sQ54_spl
| ~ sQ34_spl
| ~ sQ53_spl
| ~ sQ52_spl
| ~ sQ6_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1084,f1057,f826,f1060,f1063,f966,f1067,f829]) ).
fof(f1091,plain,
( sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f547]) ).
fof(f1092,plain,
sQ53_spl,
inference(contradiction_clause,[status(thm)],[f1091]) ).
fof(f1093,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1062,f546]) ).
fof(f1094,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1093]) ).
fof(f1095,plain,
( sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f542]) ).
fof(f1096,plain,
sQ51_spl,
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1097,plain,
( sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f144]) ).
fof(f1098,plain,
sQ56_spl,
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1069,f551]) ).
fof(f1100,plain,
sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1099]) ).
fof(f1101,plain,
( sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f548]) ).
fof(f1102,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1108,definition,
( sQ58_spl
<=> v2_yellow_0(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1114,definition,
( sQ59_spl
<=> v2_yellow_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( ~ sQ24_spl
| v1_yellow_0(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f902,f184]) ).
fof(f1119,plain,
( ~ sQ24_spl
| sQ57_spl
| ~ sQ18_spl
| sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1118,f907,f862,f865,f1078,f901]) ).
fof(f1122,definition,
( sQ60_spl
<=> l1_orders_2(sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1124,plain,
( sQ60_spl
| ~ l1_orders_2(sK12_skl) ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1127,plain,
( sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1124,f563]) ).
fof(f1128,plain,
sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( v1_funct_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl))
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f412,f961]) ).
fof(f1130,definition,
( sQ61_spl
<=> v1_funct_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( sQ61_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1129,f865,f1075,f991,f914,f910,f907,f852,f928,f931,f934,f937,f925,f994,f997,f1130]) ).
fof(f1134,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f1032]) ).
fof(f1135,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1134]) ).
fof(f1136,plain,
( sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1043,f566]) ).
fof(f1137,plain,
sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1136]) ).
fof(f1138,plain,
! [X0] :
( v3_yellow_0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f254]) ).
fof(f1139,plain,
( v3_yellow_0(sK9_skl)
| ~ v24_waybel_0(sK9_skl)
| ~ v1_lattice3(sK9_skl)
| ~ v4_orders_2(sK9_skl)
| ~ v3_orders_2(sK9_skl)
| ~ v2_orders_2(sK9_skl)
| ~ l1_orders_2(sK9_skl) ),
inference(resolution,[status(thm)],[f1138,f551]) ).
fof(f1141,plain,
( ~ sQ16_spl
| v3_yellow_0(sK1_skl)
| ~ v1_yellow_0(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f1138,f859]) ).
fof(f1142,plain,
( ~ sQ20_spl
| v3_yellow_0(sK0_skl)
| ~ v1_yellow_0(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1138,f872]) ).
fof(f1143,definition,
( sQ62_spl
<=> v3_yellow_0(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( ~ sQ62_spl
| v3_yellow_0(sK9_skl) ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1146,plain,
( sQ62_spl
| ~ sQ8_spl
| ~ sQ34_spl
| ~ sQ53_spl
| ~ sQ52_spl
| ~ sQ6_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1139,f1057,f826,f1060,f1063,f966,f832,f1143]) ).
fof(f1148,definition,
( sQ63_spl
<=> v3_yellow_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( ~ sQ16_spl
| sQ63_spl
| ~ sQ55_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1141,f925,f852,f928,f931,f934,f1071,f1148,f858]) ).
fof(f1152,definition,
( sQ64_spl
<=> v3_yellow_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( ~ sQ20_spl
| sQ64_spl
| ~ sQ57_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1142,f907,f865,f1075,f991,f914,f1078,f1152,f871]) ).
fof(f1164,plain,
! [X0,X1,X2] :
( m1_relset_1(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(resolution,[status(thm)],[f414,f739]) ).
fof(f1166,plain,
( ~ sQ23_spl
| v1_yellow_0(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f898,f184]) ).
fof(f1167,plain,
( ~ sQ23_spl
| sQ55_spl
| ~ sQ14_spl
| sQ13_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1166,f925,f849,f852,f1071,f897]) ).
fof(f1176,definition,
( sQ66_spl
<=> v3_lattice3(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
( sQ66_spl
| ~ v3_lattice3(sK17_skl) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1187,definition,
( sQ69_spl
<=> v2_orders_2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( sQ69_spl
| ~ v2_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1212,definition,
( sQ72_spl
<=> l1_orders_2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( sQ72_spl
| ~ l1_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1217,plain,
( sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f598]) ).
fof(f1218,plain,
sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1217]) ).
fof(f1224,definition,
( sQ73_spl
<=> v2_orders_2(k1_waybel_8(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( sQ73_spl
| ~ v2_orders_2(k1_waybel_8(sK1_skl)) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,definition,
( sQ74_spl
<=> v3_orders_2(k1_waybel_8(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1229,plain,
( sQ74_spl
| ~ v3_orders_2(k1_waybel_8(sK1_skl)) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,definition,
( sQ75_spl
<=> v4_orders_2(k1_waybel_8(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( sQ75_spl
| ~ v4_orders_2(k1_waybel_8(sK1_skl)) ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1233,definition,
( sQ76_spl
<=> v1_lattice3(k1_waybel_8(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1242,definition,
( sQ79_spl
<=> v2_orders_2(k1_waybel_8(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( sQ79_spl
| ~ v2_orders_2(k1_waybel_8(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,definition,
( sQ80_spl
<=> v3_orders_2(k1_waybel_8(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( sQ80_spl
| ~ v3_orders_2(k1_waybel_8(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1248,definition,
( sQ81_spl
<=> v4_orders_2(k1_waybel_8(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( sQ81_spl
| ~ v4_orders_2(k1_waybel_8(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,definition,
( sQ82_spl
<=> v1_lattice3(k1_waybel_8(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1264,definition,
( sQ86_spl
<=> v3_struct_0(k1_waybel_8(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
( ~ sQ86_spl
| v3_struct_0(k1_waybel_8(sK1_skl)) ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1266,plain,
( sQ86_spl
| ~ v3_struct_0(k1_waybel_8(sK1_skl)) ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,definition,
( sQ87_spl
<=> v3_struct_0(k1_waybel_8(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( ~ sQ87_spl
| v3_struct_0(k1_waybel_8(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1269,plain,
( sQ87_spl
| ~ v3_struct_0(k1_waybel_8(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1290,plain,
( sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f1178]) ).
fof(f1291,plain,
sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1290]) ).
fof(f1292,plain,
( sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1189,f601]) ).
fof(f1293,plain,
sQ69_spl,
inference(contradiction_clause,[status(thm)],[f1292]) ).
fof(f1301,definition,
( sQ92_spl
<=> v3_lattice3(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( sQ92_spl
| ~ v3_lattice3(sK19_skl) ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1312,definition,
( sQ95_spl
<=> v2_orders_2(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( sQ95_spl
| ~ v2_orders_2(sK19_skl) ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1338,definition,
( sQ98_spl
<=> l1_orders_2(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( sQ98_spl
| ~ l1_orders_2(sK19_skl) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1343,plain,
( sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f618]) ).
fof(f1344,plain,
sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1343]) ).
fof(f1353,plain,
( sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f1303]) ).
fof(f1354,plain,
sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1355,plain,
( sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1314,f621]) ).
fof(f1356,plain,
sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1355]) ).
fof(f1361,definition,
( sQ99_spl
<=> v3_orders_2(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1363,plain,
( sQ99_spl
| ~ v3_orders_2(sK19_skl) ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1364,definition,
( sQ100_spl
<=> v4_orders_2(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
( sQ100_spl
| ~ v4_orders_2(sK19_skl) ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1377,plain,
( sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1366,f623]) ).
fof(f1378,plain,
sQ100_spl,
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1379,plain,
( sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1363,f622]) ).
fof(f1380,plain,
sQ99_spl,
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1398,definition,
( sQ107_spl
<=> v17_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1400,plain,
( sQ107_spl
| ~ v17_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1401,definition,
( sQ108_spl
<=> v1_relat_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1400,f160]) ).
fof(f1406,plain,
sQ107_spl,
inference(contradiction_clause,[status(thm)],[f1405]) ).
fof(f1410,plain,
( ~ v1_xboole_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl))
| ~ v17_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f486,f961]) ).
fof(f1415,definition,
( sQ110_spl
<=> v1_xboole_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1418,plain,
( ~ sQ110_spl
| ~ sQ107_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1410,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f994,f997,f1398,f1415]) ).
fof(f1423,definition,
( sQ111_spl
<=> v1_yellow_0(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( sQ111_spl
| ~ v1_yellow_0(sK19_skl) ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1430,plain,
( sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1425,f627]) ).
fof(f1431,plain,
sQ111_spl,
inference(contradiction_clause,[status(thm)],[f1430]) ).
fof(f1439,definition,
( sQ113_spl
<=> v3_lattice3(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
( sQ113_spl
| ~ v3_lattice3(sK20_skl) ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1450,definition,
( sQ116_spl
<=> v2_orders_2(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
( sQ116_spl
| ~ v2_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1461,plain,
( sQ81_spl
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1250,f474]) ).
fof(f1463,plain,
( sQ81_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1461,f865,f1075,f991,f914,f910,f868,f907,f1248]) ).
fof(f1467,definition,
( sQ119_spl
<=> l1_orders_2(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1469,plain,
( sQ119_spl
| ~ l1_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1472,plain,
( sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1469,f635]) ).
fof(f1473,plain,
sQ119_spl,
inference(contradiction_clause,[status(thm)],[f1472]) ).
fof(f1474,plain,
( sQ79_spl
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1244,f472]) ).
fof(f1476,plain,
( sQ79_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1474,f865,f1075,f991,f914,f910,f868,f907,f1242]) ).
fof(f1478,plain,
( sQ75_spl
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f1232,f474]) ).
fof(f1480,plain,
( sQ75_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1478,f852,f928,f931,f934,f937,f855,f925,f1230]) ).
fof(f1482,plain,
( sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f1441]) ).
fof(f1483,plain,
sQ113_spl,
inference(contradiction_clause,[status(thm)],[f1482]) ).
fof(f1484,plain,
( sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1452,f637]) ).
fof(f1485,plain,
sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1484]) ).
fof(f1487,plain,
( sQ73_spl
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f1226,f472]) ).
fof(f1489,plain,
( sQ73_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1487,f852,f928,f931,f934,f937,f855,f925,f1224]) ).
fof(f1495,definition,
( sQ120_spl
<=> v3_orders_2(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1497,plain,
( sQ120_spl
| ~ v3_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1495]) ).
fof(f1498,definition,
( sQ121_spl
<=> v4_orders_2(sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( sQ121_spl
| ~ v4_orders_2(sK20_skl) ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1511,plain,
( sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1500,f639]) ).
fof(f1512,plain,
sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1511]) ).
fof(f1513,plain,
( sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1497,f638]) ).
fof(f1514,plain,
sQ120_spl,
inference(contradiction_clause,[status(thm)],[f1513]) ).
fof(f1518,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ v22_waybel_0(X2,X0,X1)
| ~ 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)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f261,f252]) ).
fof(f1520,plain,
! [X0] :
( v3_orders_2(k1_waybel_8(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f254]) ).
fof(f1528,definition,
( sQ125_spl
<=> v5_orders_3(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1533,plain,
( v1_partfun1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v22_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f265,f961]) ).
fof(f1538,definition,
( sQ127_spl
<=> v1_partfun1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1541,plain,
( sQ127_spl
| ~ sQ0_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ30_spl
| ~ sQ14_spl
| sQ13_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1533,f862,f865,f991,f907,f849,f852,f931,f925,f994,f997,f799,f1538]) ).
fof(f1542,plain,
( ~ sQ87_spl
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1268,f470]) ).
fof(f1546,plain,
( ~ sQ87_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1542,f865,f1075,f991,f914,f910,f868,f907,f1267]) ).
fof(f1550,plain,
( ~ sQ86_spl
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f1265,f470]) ).
fof(f1554,plain,
( ~ sQ86_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1550,f852,f928,f931,f934,f937,f855,f925,f1264]) ).
fof(f1559,plain,
( ~ v1_xboole_0(sK2_skl)
| ~ v22_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ l1_orders_2(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1518,f961]) ).
fof(f1561,plain,
( ~ sQ41_spl
| ~ sQ0_spl
| ~ sQ40_spl
| ~ sQ28_spl
| ~ sQ30_spl
| ~ sQ14_spl
| sQ13_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1559,f862,f865,f991,f907,f849,f852,f931,f925,f997,f799,f1000]) ).
fof(f1562,plain,
( ~ sQ5_spl
| ~ v2_lattice3(sK9_skl)
| ~ l1_orders_2(sK9_skl) ),
inference(resolution,[status(thm)],[f824,f315]) ).
fof(f1564,plain,
( ~ sQ5_spl
| ~ sQ36_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1562,f1057,f980,f823]) ).
fof(f1570,definition,
( sQ128_spl
<=> v3_orders_2(sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( sQ128_spl
| ~ v3_orders_2(sK12_skl) ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,definition,
( sQ129_spl
<=> v4_orders_2(sK12_skl) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1575,plain,
( sQ129_spl
| ~ v4_orders_2(sK12_skl) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1589,plain,
( sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f568]) ).
fof(f1590,plain,
sQ129_spl,
inference(contradiction_clause,[status(thm)],[f1589]) ).
fof(f1591,plain,
( sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1572,f567]) ).
fof(f1592,plain,
sQ128_spl,
inference(contradiction_clause,[status(thm)],[f1591]) ).
fof(f1593,plain,
( v5_orders_3(sK2_skl,sK0_skl,sK1_skl)
| ~ v19_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f269,f961]) ).
fof(f1594,definition,
( sQ133_spl
<=> v19_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
( sQ125_spl
| ~ sQ133_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ32_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1593,f865,f1075,f991,f910,f907,f852,f928,f931,f937,f925,f994,f997,f1594,f1528]) ).
fof(f1599,definition,
( sQ134_spl
<=> v5_waybel34(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( v2_waybel_3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f283,f157]) ).
fof(f1604,definition,
( sQ135_spl
<=> v2_waybel_3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( sQ135_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1603,f925,f852,f928,f931,f934,f937,f1604]) ).
fof(f1616,plain,
! [X0,X1,X2] :
( v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(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) ),
inference(resolution,[status(thm)],[f1164,f396]) ).
fof(f1617,plain,
! [X0,X1,X2] :
( v4_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X1)
| v3_struct_0(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) ),
inference(resolution,[status(thm)],[f1164,f378]) ).
fof(f1635,plain,
! [X0,X1,X2] :
( v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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_struct_0(X0)
| v3_struct_0(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) ),
inference(duplicate_literals_removal,[status(thm)],[f1616]) ).
fof(f1636,plain,
! [X0,X1,X2] :
( v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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_struct_0(X0)
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f315]) ).
fof(f1637,plain,
! [X0,X1,X2] :
( v4_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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_struct_0(X0)
| v3_struct_0(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) ),
inference(duplicate_literals_removal,[status(thm)],[f1617]) ).
fof(f1638,plain,
! [X0,X1,X2] :
( v4_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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_struct_0(X0)
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f1637,f315]) ).
fof(f1654,definition,
( sQ136_spl
<=> v3_orders_2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1656,plain,
( sQ136_spl
| ~ v3_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f1654]) ).
fof(f1657,definition,
( sQ137_spl
<=> v4_orders_2(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( sQ137_spl
| ~ v4_orders_2(sK17_skl) ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1673,plain,
( sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1659,f603]) ).
fof(f1674,plain,
sQ137_spl,
inference(contradiction_clause,[status(thm)],[f1673]) ).
fof(f1675,plain,
( sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1656,f602]) ).
fof(f1676,plain,
sQ136_spl,
inference(contradiction_clause,[status(thm)],[f1675]) ).
fof(f1677,plain,
( v3_waybel_3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f284,f157]) ).
fof(f1678,definition,
( sQ141_spl
<=> v3_waybel_3(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1681,plain,
( sQ141_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1677,f925,f852,f928,f931,f934,f937,f1678]) ).
fof(f1836,plain,
! [X0] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f313,f252]) ).
fof(f1839,plain,
( v2_funct_1(sK16_skl)
| ~ v1_xboole_0(sK16_skl) ),
inference(resolution,[status(thm)],[f1836,f594]) ).
fof(f1852,definition,
( sQ146_spl
<=> v1_xboole_0(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1854,plain,
( sQ146_spl
| ~ v1_xboole_0(sK16_skl) ),
inference(component_clause,[status(thm)],[f1852]) ).
fof(f1855,definition,
( sQ147_spl
<=> v2_funct_1(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1858,plain,
( sQ147_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f1839,f1852,f1855]) ).
fof(f1866,plain,
( sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1854,f595]) ).
fof(f1867,plain,
sQ146_spl,
inference(contradiction_clause,[status(thm)],[f1866]) ).
fof(f1906,definition,
( sQ150_spl
<=> v5_waybel_1(sK2_skl,sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1922,plain,
( ~ sQ62_spl
| v2_yellow_0(sK9_skl)
| ~ l1_orders_2(sK9_skl) ),
inference(resolution,[status(thm)],[f353,f1144]) ).
fof(f1927,plain,
( ~ sQ62_spl
| sQ58_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1922,f1057,f1108,f1143]) ).
fof(f1935,plain,
( v18_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v5_waybel_1(sK2_skl,sK1_skl,sK0_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f326,f961]) ).
fof(f1939,plain,
( sQ42_spl
| ~ sQ150_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| sQ13_spl
| ~ sQ25_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1935,f862,f865,f1075,f991,f907,f849,f852,f928,f931,f925,f994,f997,f1906,f1014]) ).
fof(f1949,definition,
( sQ151_spl
<=> v20_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1985,plain,
( v1_waybel_8(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f333,f157]) ).
fof(f1986,definition,
( sQ152_spl
<=> v1_waybel_8(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( sQ152_spl
| ~ sQ14_spl
| sQ13_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1985,f925,f849,f852,f1986]) ).
fof(f2100,plain,
! [X0,X1,X2] :
( v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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))
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f1636,f315]) ).
fof(f2101,plain,
! [X0,X1,X2] :
( ~ 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)
| v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ 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) ),
inference(resolution,[status(thm)],[f2100,f413]) ).
fof(f2102,plain,
! [X0,X1,X2] :
( v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ 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) ),
inference(duplicate_literals_removal,[status(thm)],[f2101]) ).
fof(f2103,plain,
! [X0,X1,X2] :
( v22_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f2102,f412]) ).
fof(f2104,plain,
! [X0,X1,X2] :
( v4_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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))
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f1638,f315]) ).
fof(f2105,plain,
! [X0,X1,X2] :
( ~ 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)
| v4_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ 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) ),
inference(resolution,[status(thm)],[f2104,f413]) ).
fof(f2106,plain,
! [X0,X1,X2] :
( v4_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_1(k1_waybel34(X0,X1,X2))
| ~ 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) ),
inference(duplicate_literals_removal,[status(thm)],[f2105]) ).
fof(f2107,plain,
! [X0,X1,X2] :
( v4_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f2106,f412]) ).
fof(f2274,plain,
( ~ sQ57_spl
| v3_waybel_3(sK0_skl)
| ~ v2_waybel_3(sK0_skl)
| ~ v24_waybel_0(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f372,f1079]) ).
fof(f2275,plain,
( v3_waybel_3(sK9_skl)
| ~ v2_waybel_3(sK9_skl)
| ~ v24_waybel_0(sK9_skl)
| ~ v1_lattice3(sK9_skl)
| ~ v4_orders_2(sK9_skl)
| ~ v3_orders_2(sK9_skl)
| ~ v2_orders_2(sK9_skl)
| ~ l1_orders_2(sK9_skl) ),
inference(resolution,[status(thm)],[f372,f551]) ).
fof(f2305,definition,
( sQ160_spl
<=> v2_waybel_3(sK19_skl) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2307,plain,
( sQ160_spl
| ~ v2_waybel_3(sK19_skl) ),
inference(component_clause,[status(thm)],[f2305]) ).
fof(f2315,definition,
( sQ162_spl
<=> v2_waybel_3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2318,definition,
( sQ163_spl
<=> v3_waybel_3(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f2321,plain,
( ~ sQ57_spl
| sQ163_spl
| ~ sQ162_spl
| ~ sQ20_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2274,f907,f865,f1075,f991,f914,f871,f2315,f2318,f1078]) ).
fof(f2322,definition,
( sQ164_spl
<=> v2_waybel_3(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f2325,definition,
( sQ165_spl
<=> v3_waybel_3(sK9_skl) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2326,plain,
( ~ sQ165_spl
| v3_waybel_3(sK9_skl) ),
inference(component_clause,[status(thm)],[f2325]) ).
fof(f2328,plain,
( sQ165_spl
| ~ sQ164_spl
| ~ sQ8_spl
| ~ sQ34_spl
| ~ sQ53_spl
| ~ sQ52_spl
| ~ sQ6_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2275,f1057,f826,f1060,f1063,f966,f832,f2322,f2325]) ).
fof(f2342,plain,
( v19_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v17_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f382,f961]) ).
fof(f2346,plain,
( sQ133_spl
| ~ sQ107_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| sQ13_spl
| ~ sQ25_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2342,f862,f907,f849,f925,f994,f997,f1398,f1594]) ).
fof(f2352,plain,
( v21_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v17_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f383,f961]) ).
fof(f2356,definition,
( sQ166_spl
<=> v21_waybel_0(sK2_skl,sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2359,plain,
( sQ166_spl
| ~ sQ107_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| sQ13_spl
| ~ sQ25_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2352,f862,f907,f849,f925,f994,f997,f1398,f2356]) ).
fof(f2374,plain,
( v20_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v4_waybel34(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f390,f961]) ).
fof(f2378,plain,
( sQ151_spl
| ~ sQ43_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| sQ13_spl
| ~ sQ25_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2374,f862,f907,f849,f925,f994,f997,f1017,f1949]) ).
fof(f2384,plain,
( v5_waybel34(sK2_skl,sK0_skl,sK1_skl)
| ~ v4_waybel34(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| v3_struct_0(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f391,f961]) ).
fof(f2388,plain,
( sQ134_spl
| ~ sQ43_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| sQ13_spl
| ~ sQ25_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2384,f862,f907,f849,f925,f994,f997,f1017,f1599]) ).
fof(f2406,plain,
( ~ sQ20_spl
| v2_yellow_0(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| ~ l1_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f407,f872]) ).
fof(f2413,plain,
( ~ sQ20_spl
| sQ59_spl
| ~ sQ27_spl
| ~ sQ18_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2406,f907,f865,f914,f1114,f871]) ).
fof(f2421,plain,
! [X0] :
( v1_lattice3(k1_waybel_8(X0))
| ~ v6_yellow_0(k1_waybel_8(X0),X0)
| v3_struct_0(k1_waybel_8(X0))
| ~ m1_yellow_0(k1_waybel_8(X0),X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f417,f204]) ).
fof(f2433,plain,
! [X0] :
( v1_lattice3(k1_waybel_8(X0))
| ~ v6_yellow_0(k1_waybel_8(X0),X0)
| v3_struct_0(k1_waybel_8(X0))
| ~ m1_yellow_0(k1_waybel_8(X0),X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2421]) ).
fof(f2434,plain,
! [X0] :
( v1_lattice3(k1_waybel_8(X0))
| ~ v6_yellow_0(k1_waybel_8(X0),X0)
| v3_struct_0(k1_waybel_8(X0))
| ~ m1_yellow_0(k1_waybel_8(X0),X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2433,f254]) ).
fof(f2464,plain,
! [X0,X1,X2] :
( v1_relat_1(X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(resolution,[status(thm)],[f430,f259]) ).
fof(f2502,plain,
! [X0,X1,X2] :
( ~ 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_relat_1(k1_waybel34(X0,X1,X2)) ),
inference(resolution,[status(thm)],[f2464,f414]) ).
fof(f2529,plain,
! [X0] :
( v1_lattice3(k1_waybel_8(X0))
| v3_struct_0(k1_waybel_8(X0))
| ~ m1_yellow_0(k1_waybel_8(X0),X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2434,f2532]) ).
fof(f2532,plain,
! [X0] :
( v6_yellow_0(k1_waybel_8(X0),X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f254]) ).
fof(f2599,plain,
( ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl)
| v1_relat_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl)) ),
inference(resolution,[status(thm)],[f2502,f961]) ).
fof(f2603,plain,
( ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f2599,f1401,f865,f1075,f991,f914,f910,f907,f852,f928,f931,f934,f937,f925,f994,f997]) ).
fof(f2608,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_lattice3(k1_waybel_8(X0))
| v3_struct_0(k1_waybel_8(X0))
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(resolution,[status(thm)],[f2529,f418]) ).
fof(f2609,plain,
! [X0] :
( v3_struct_0(X0)
| v1_lattice3(k1_waybel_8(X0))
| v3_struct_0(k1_waybel_8(X0))
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2608]) ).
fof(f2610,plain,
! [X0] :
( v1_lattice3(k1_waybel_8(X0))
| v3_struct_0(k1_waybel_8(X0))
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2609,f254]) ).
fof(f2611,plain,
( sQ86_spl
| v1_lattice3(k1_waybel_8(sK1_skl))
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f2610,f1266]) ).
fof(f2612,plain,
( sQ87_spl
| v1_lattice3(k1_waybel_8(sK0_skl))
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f2610,f1269]) ).
fof(f2617,plain,
( sQ86_spl
| sQ76_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2611,f852,f925,f928,f931,f934,f1233,f1264]) ).
fof(f2618,plain,
( sQ87_spl
| sQ82_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ25_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2612,f865,f907,f1075,f991,f914,f1251,f1267]) ).
fof(f2935,plain,
( sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f632,f2307]) ).
fof(f2936,plain,
sQ160_spl,
inference(contradiction_clause,[status(thm)],[f2935]) ).
fof(f3687,plain,
! [X0,X1,X2] :
( ~ 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)
| v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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))
| ~ 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) ),
inference(resolution,[status(thm)],[f769,f414]) ).
fof(f3707,plain,
! [X0,X1,X2] :
( ~ 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)
| v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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))
| ~ 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) ),
inference(duplicate_literals_removal,[status(thm)],[f3687]) ).
fof(f3708,plain,
! [X0,X1,X2] :
( ~ 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)
| v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f3707,f412]) ).
fof(f3727,plain,
! [X0,X1,X2] :
( ~ 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_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v2_waybel_8(X1)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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))
| ~ 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) ),
inference(resolution,[status(thm)],[f771,f414]) ).
fof(f3747,plain,
! [X0,X1,X2] :
( ~ 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)
| v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v2_waybel_8(X1)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,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))
| ~ 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) ),
inference(duplicate_literals_removal,[status(thm)],[f3727]) ).
fof(f3748,plain,
! [X0,X1,X2] :
( ~ 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)
| v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v2_waybel_8(X1)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_funct_2(k1_waybel34(X0,X1,X2),u1_struct_0(X1),u1_struct_0(X0))
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f3747,f412]) ).
fof(f3755,plain,
! [X0,X1,X2] :
( ~ 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)
| v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f3708,f413]) ).
fof(f3756,plain,
! [X0,X1,X2] :
( ~ v22_waybel_0(X2,X0,X1)
| ~ m2_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)
| ~ 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)
| v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(resolution,[status(thm)],[f3755,f753]) ).
fof(f3757,plain,
! [X0,X1,X2] :
( ~ v22_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(duplicate_literals_removal,[status(thm)],[f3756]) ).
fof(f3758,plain,
! [X0,X1,X2] :
( ~ v22_waybel_0(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v17_waybel_0(X2,X0,X1)
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f3757,f489]) ).
fof(f3764,plain,
( sQ4_spl
| ~ v3_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ m2_relset_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ v1_funct_2(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl))
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f779,f816]) ).
fof(f3769,definition,
( sQ171_spl
<=> v1_funct_2(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f3771,plain,
( sQ171_spl
| ~ v1_funct_2(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f3769]) ).
fof(f3772,definition,
( sQ172_spl
<=> v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f3773,plain,
( ~ sQ172_spl
| v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f3772]) ).
fof(f3774,plain,
( sQ172_spl
| ~ v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f3772]) ).
fof(f3775,definition,
( sQ173_spl
<=> m2_relset_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f3777,plain,
( sQ173_spl
| ~ m2_relset_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f3775]) ).
fof(f3778,definition,
( sQ174_spl
<=> v3_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f3779,plain,
( ~ sQ174_spl
| v3_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f3778]) ).
fof(f3780,plain,
( sQ174_spl
| ~ v3_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f3778]) ).
fof(f3781,plain,
( sQ4_spl
| ~ sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3764,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f1130,f3769,f3772,f3775,f3778,f814]) ).
fof(f3784,plain,
( sQ80_spl
| ~ l1_orders_2(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f1247,f1520]) ).
fof(f3786,plain,
( sQ80_spl
| ~ sQ25_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3784,f865,f1075,f991,f914,f907,f1245]) ).
fof(f3788,plain,
! [X0,X1,X2] :
( ~ 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)
| v1_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ v2_waybel_8(X1)
| ~ v18_waybel_0(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f3748,f413]) ).
fof(f3791,definition,
( sQ175_spl
<=> l1_orders_2(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f3793,plain,
( sQ175_spl
| ~ l1_orders_2(sK3_skl) ),
inference(component_clause,[status(thm)],[f3791]) ).
fof(f3796,plain,
( sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3793,f434]) ).
fof(f3797,plain,
sQ175_spl,
inference(contradiction_clause,[status(thm)],[f3796]) ).
fof(f3798,plain,
( ~ sQ165_spl
| v2_waybel_3(sK9_skl)
| ~ v2_orders_2(sK9_skl)
| v3_struct_0(sK9_skl)
| ~ l1_orders_2(sK9_skl) ),
inference(resolution,[status(thm)],[f2326,f350]) ).
fof(f3800,plain,
( ~ sQ165_spl
| sQ164_spl
| ~ sQ6_spl
| sQ5_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3798,f1057,f823,f826,f2322,f2325]) ).
fof(f3830,plain,
( sQ74_spl
| ~ l1_orders_2(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl) ),
inference(resolution,[status(thm)],[f1229,f1520]) ).
fof(f3832,plain,
( sQ74_spl
| ~ sQ28_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3830,f852,f928,f931,f934,f925,f1227]) ).
fof(f4240,plain,
! [X0,X1,X2] :
( ~ v22_waybel_0(X2,X0,X1)
| ~ m2_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)
| v3_waybel34(k1_waybel34(X0,X1,X2),X1,X0)
| ~ 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) ),
inference(forward_subsumption_resolution,[status(thm)],[f3758,f739]) ).
fof(f4241,plain,
( sQ174_spl
| ~ v22_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v17_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f4240,f3780]) ).
fof(f4243,definition,
( sQ179_spl
<=> m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f4245,plain,
( sQ179_spl
| ~ m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f4243]) ).
fof(f4246,plain,
( sQ174_spl
| ~ sQ0_spl
| ~ sQ179_spl
| ~ sQ107_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4241,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f994,f997,f1398,f4243,f799,f3778]) ).
fof(f4248,plain,
( ~ sQ174_spl
| ~ m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| v1_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ v2_waybel_8(sK1_skl)
| ~ v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f3779,f3788]) ).
fof(f4249,definition,
( sQ180_spl
<=> v2_waybel_8(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f4251,plain,
( sQ180_spl
| ~ v2_waybel_8(sK1_skl) ),
inference(component_clause,[status(thm)],[f4249]) ).
fof(f4252,definition,
( sQ181_spl
<=> v1_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f4253,plain,
( ~ sQ181_spl
| v1_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f4252]) ).
fof(f4255,definition,
( sQ182_spl
<=> m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f4257,plain,
( sQ182_spl
| ~ m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)) ),
inference(component_clause,[status(thm)],[f4255]) ).
fof(f4258,plain,
( ~ sQ174_spl
| ~ sQ182_spl
| ~ sQ40_spl
| ~ sQ39_spl
| sQ181_spl
| ~ sQ180_spl
| ~ sQ172_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4248,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f3772,f4249,f4252,f994,f997,f4255,f3778]) ).
fof(f4259,plain,
( sQ172_spl
| ~ m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v17_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f3774,f489]) ).
fof(f4260,plain,
( sQ172_spl
| ~ sQ182_spl
| ~ sQ107_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4259,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f994,f997,f1398,f4255,f3772]) ).
fof(f4261,plain,
( sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4257,f961]) ).
fof(f4262,plain,
sQ182_spl,
inference(contradiction_clause,[status(thm)],[f4261]) ).
fof(f4263,plain,
( sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4251,f157]) ).
fof(f4264,plain,
sQ180_spl,
inference(contradiction_clause,[status(thm)],[f4263]) ).
fof(f4265,plain,
( sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4245,f161]) ).
fof(f4266,plain,
sQ179_spl,
inference(contradiction_clause,[status(thm)],[f4265]) ).
fof(f4267,plain,
( ~ sQ172_spl
| v4_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f3773,f2107]) ).
fof(f4268,plain,
( ~ sQ172_spl
| v22_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f3773,f2103]) ).
fof(f4269,definition,
( sQ183_spl
<=> v4_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f4272,plain,
( ~ sQ172_spl
| sQ183_spl
| ~ sQ182_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4267,f865,f1075,f991,f914,f910,f907,f852,f928,f931,f934,f937,f925,f994,f997,f4255,f4269,f3772]) ).
fof(f4273,definition,
( sQ184_spl
<=> v22_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f4276,plain,
( ~ sQ172_spl
| sQ184_spl
| ~ sQ182_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4268,f865,f1075,f991,f914,f910,f907,f852,f928,f931,f934,f937,f925,f994,f997,f4255,f4273,f3772]) ).
fof(f4277,plain,
( ~ sQ4_spl
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),k1_waybel_8(sK1_skl),k1_waybel_8(sK0_skl))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))),u1_struct_0(k1_waybel_8(sK1_skl)),u1_struct_0(k1_waybel_8(sK0_skl)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK1_skl),u1_struct_0(sK0_skl),k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(k1_waybel_8(sK1_skl))))
| v3_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ m2_relset_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ v1_funct_2(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl))
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f815,f780]) ).
fof(f4282,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4277,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f1130,f3769,f3772,f3775,f3778,f802,f806,f810,f814]) ).
fof(f4289,plain,
( sQ171_spl
| ~ m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f3771,f413]) ).
fof(f4290,plain,
( sQ171_spl
| ~ sQ182_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4289,f865,f1075,f991,f914,f910,f907,f852,f928,f931,f934,f937,f925,f994,f997,f4255,f3769]) ).
fof(f4354,plain,
( sQ173_spl
| ~ m1_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f3777,f414]) ).
fof(f4355,plain,
( sQ173_spl
| ~ sQ182_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4354,f865,f1075,f991,f914,f910,f907,f852,f928,f931,f934,f937,f925,f994,f997,f4255,f3775]) ).
fof(f4356,plain,
( sQ3_spl
| ~ v3_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ m2_relset_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ v1_funct_2(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl))
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f812,f778]) ).
fof(f4357,plain,
( sQ3_spl
| ~ sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4356,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f1130,f3769,f3772,f3775,f3778,f810]) ).
fof(f4359,plain,
( ~ sQ181_spl
| v22_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ m2_relset_1(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v17_waybel_0(sK2_skl,sK0_skl,sK1_skl)
| ~ v1_funct_2(sK2_skl,u1_struct_0(sK0_skl),u1_struct_0(sK1_skl))
| ~ v1_funct_1(sK2_skl)
| ~ l1_orders_2(sK1_skl)
| ~ v3_waybel_3(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f4253,f755]) ).
fof(f4361,plain,
( ~ sQ181_spl
| sQ0_spl
| ~ sQ179_spl
| ~ sQ107_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ28_spl
| ~ sQ141_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4359,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f1678,f925,f994,f997,f1398,f4243,f799,f4252]) ).
fof(f4362,plain,
( sQ2_spl
| ~ v3_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ m2_relset_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ v1_funct_2(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl))
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f808,f777]) ).
fof(f4363,plain,
( sQ2_spl
| ~ sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4362,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f1130,f3769,f3772,f3775,f3778,f806]) ).
fof(f4371,plain,
( sQ1_spl
| ~ v3_waybel34(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ m2_relset_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v18_waybel_0(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),sK1_skl,sK0_skl)
| ~ v1_funct_2(k1_waybel34(sK0_skl,sK1_skl,sK2_skl),u1_struct_0(sK1_skl),u1_struct_0(sK0_skl))
| ~ v1_funct_1(k1_waybel34(sK0_skl,sK1_skl,sK2_skl))
| ~ l1_orders_2(sK1_skl)
| ~ v3_lattice3(sK1_skl)
| ~ v2_lattice3(sK1_skl)
| ~ v1_lattice3(sK1_skl)
| ~ v4_orders_2(sK1_skl)
| ~ v3_orders_2(sK1_skl)
| ~ v2_orders_2(sK1_skl)
| ~ l1_orders_2(sK0_skl)
| ~ v3_lattice3(sK0_skl)
| ~ v2_lattice3(sK0_skl)
| ~ v1_lattice3(sK0_skl)
| ~ v4_orders_2(sK0_skl)
| ~ v3_orders_2(sK0_skl)
| ~ v2_orders_2(sK0_skl) ),
inference(resolution,[status(thm)],[f804,f776]) ).
fof(f4372,plain,
( sQ1_spl
| ~ sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ61_spl
| ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ19_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ38_spl
| ~ sQ56_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4371,f865,f1075,f991,f914,f910,f868,f907,f852,f928,f931,f934,f937,f855,f925,f1130,f3769,f3772,f3775,f3778,f802]) ).
fof(f4373,plain,
$false,
inference(sat_refutation,[status(thm)],[f805,f809,f813,f817,f818,f835,f874,f876,f878,f880,f882,f884,f892,f900,f904,f913,f919,f921,f923,f943,f945,f947,f949,f951,f953,f955,f958,f1005,f1007,f1009,f1022,f1070,f1088,f1092,f1094,f1096,f1098,f1100,f1102,f1119,f1128,f1133,f1135,f1137,f1146,f1151,f1155,f1167,f1218,f1291,f1293,f1344,f1354,f1356,f1378,f1380,f1406,f1418,f1431,f1463,f1473,f1476,f1480,f1483,f1485,f1489,f1512,f1514,f1541,f1546,f1554,f1561,f1564,f1590,f1592,f1597,f1607,f1674,f1676,f1681,f1858,f1867,f1927,f1939,f1989,f2321,f2328,f2346,f2359,f2378,f2388,f2413,f2603,f2617,f2618,f2936,f3781,f3786,f3797,f3800,f3832,f4246,f4258,f4260,f4262,f4264,f4266,f4272,f4276,f4282,f4290,f4355,f4357,f4361,f4363,f4372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT380+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n013.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 23:56:22 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.51 % Drodi V4.1.1
% 18.92/3.03 % Refutation found
% 18.92/3.03 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.92/3.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.70/3.11 % Elapsed time: 2.650511 seconds
% 19.70/3.11 % CPU time: 20.023630 seconds
% 19.70/3.11 % Total memory used: 236.002 MB
% 19.70/3.11 % Net memory used: 232.613 MB
%------------------------------------------------------------------------------