%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT380+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 08:48:27 AM UTC 2026
% Result : Theorem 165.16s 165.42s
% Output : Proof 165.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t71_waybel34,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('theBenchmark.p',t71_waybel34) ).
fof(abstractness_v1_orders_2,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_orders_2(A)
=> A = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ),
file('theBenchmark.p',abstractness_v1_orders_2) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc10_membered,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> v1_xcmplx_0(B) ) ),
file('theBenchmark.p',cc10_membered) ).
fof(cc10_waybel_0,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('theBenchmark.p',cc10_waybel_0) ).
fof(cc11_membered,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xreal_0(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc11_membered) ).
fof(cc11_waybel_0,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('theBenchmark.p',cc11_waybel_0) ).
fof(cc12_membered,axiom,
! [A] :
( v3_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_rat_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc12_membered) ).
fof(cc12_waybel_0,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('theBenchmark.p',cc12_waybel_0) ).
fof(cc12_yellow_0,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('theBenchmark.p',cc12_yellow_0) ).
fof(cc13_membered,axiom,
! [A] :
( v4_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc13_membered) ).
fof(cc13_waybel_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc13_waybel_0) ).
fof(cc14_membered,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v4_ordinal2(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc14_membered) ).
fof(cc14_waybel_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v2_yellow_0(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc14_waybel_0) ).
fof(cc15_membered,axiom,
! [A] :
( v1_xboole_0(A)
=> ( v5_membered(A)
& v4_membered(A)
& v3_membered(A)
& v2_membered(A)
& v1_membered(A) ) ),
file('theBenchmark.p',cc15_membered) ).
fof(cc16_membered,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_membered(B) ) ),
file('theBenchmark.p',cc16_membered) ).
fof(cc17_membered,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc17_membered) ).
fof(cc18_membered,axiom,
! [A] :
( v3_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v3_membered(B)
& v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc18_membered) ).
fof(cc19_membered,axiom,
! [A] :
( v4_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc19_membered) ).
fof(cc1_finset_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_finset_1(A) ),
file('theBenchmark.p',cc1_finset_1) ).
fof(cc1_funct_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
file('theBenchmark.p',cc1_funct_1) ).
fof(cc1_lattice3,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('theBenchmark.p',cc1_lattice3) ).
fof(cc1_membered,axiom,
! [A] :
( v5_membered(A)
=> v4_membered(A) ),
file('theBenchmark.p',cc1_membered) ).
fof(cc1_relset_1,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('theBenchmark.p',cc1_relset_1) ).
fof(cc1_waybel17,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('theBenchmark.p',cc1_waybel17) ).
fof(cc1_waybel21,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('theBenchmark.p',cc1_waybel21) ).
fof(cc1_waybel34,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) )
=> ( v5_waybel34(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('theBenchmark.p',cc1_waybel34) ).
fof(cc1_waybel_8,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('theBenchmark.p',cc1_waybel_8) ).
fof(cc1_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& ~ v3_struct_0(A) )
=> ( v2_lattice3(A)
& v1_lattice3(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc1_yellow_0) ).
fof(cc1_yellow_2,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v24_waybel_0(A)
& v2_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v25_waybel_0(A)
& v24_waybel_0(A)
& v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc1_yellow_2) ).
fof(cc20_membered,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc20_membered) ).
fof(cc2_finset_1,axiom,
! [A] :
( v1_finset_1(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_finset_1(B) ) ),
file('theBenchmark.p',cc2_finset_1) ).
fof(cc2_funct_1,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('theBenchmark.p',cc2_funct_1) ).
fof(cc2_lattice3,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('theBenchmark.p',cc2_lattice3) ).
fof(cc2_membered,axiom,
! [A] :
( v4_membered(A)
=> v3_membered(A) ),
file('theBenchmark.p',cc2_membered) ).
fof(cc2_waybel34,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_yellow_0(A)
& v4_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v6_waybel34(B,A)
=> ( v7_waybel34(B,A)
& v6_yellow_0(B,A) ) ) ) ),
file('theBenchmark.p',cc2_waybel34) ).
fof(cc2_waybel_1,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('theBenchmark.p',cc2_waybel_1) ).
fof(cc2_waybel_8,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('theBenchmark.p',cc2_waybel_8) ).
fof(cc3_membered,axiom,
! [A] :
( v3_membered(A)
=> v2_membered(A) ),
file('theBenchmark.p',cc3_membered) ).
fof(cc3_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& ~ v3_struct_0(A) )
=> ( v3_yellow_0(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc3_yellow_0) ).
fof(cc4_membered,axiom,
! [A] :
( v2_membered(A)
=> v1_membered(A) ),
file('theBenchmark.p',cc4_membered) ).
fof(cc4_waybel34,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_yellow_0(A)
& v4_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( ( v7_waybel34(B,A)
& v4_yellow_0(B,A) )
=> ( v4_yellow_0(B,A)
& v1_yellow_0(B)
& v4_orders_2(B)
& ~ v3_struct_0(B) ) ) ) ),
file('theBenchmark.p',cc4_waybel34) ).
fof(cc4_waybel_3,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('theBenchmark.p',cc4_waybel_3) ).
fof(cc4_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( v3_yellow_0(A)
=> ( v2_yellow_0(A)
& v1_yellow_0(A) ) ) ),
file('theBenchmark.p',cc4_yellow_0) ).
fof(cc5_waybel34,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_lattice3(A)
& v1_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( ( v7_waybel34(B,A)
& v6_yellow_0(B,A)
& v4_yellow_0(B,A) )
=> ( v7_waybel34(B,A)
& v6_waybel34(B,A)
& v1_lattice3(B)
& v6_yellow_0(B,A)
& v4_yellow_0(B,A)
& v1_yellow_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B) ) ) ) ),
file('theBenchmark.p',cc5_waybel34) ).
fof(cc5_waybel_3,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('theBenchmark.p',cc5_waybel_3) ).
fof(cc5_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v2_yellow_0(A)
& v1_yellow_0(A) )
=> v3_yellow_0(A) ) ),
file('theBenchmark.p',cc5_yellow_0) ).
fof(cc6_waybel34,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('theBenchmark.p',cc6_waybel34) ).
fof(cc6_waybel_0,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('theBenchmark.p',cc6_waybel_0) ).
fof(cc6_yellow_0,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
& v2_orders_2(B) ) ) ) ),
file('theBenchmark.p',cc6_yellow_0) ).
fof(cc7_waybel34,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('theBenchmark.p',cc7_waybel34) ).
fof(cc7_waybel_0,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('theBenchmark.p',cc7_waybel_0) ).
fof(cc7_yellow_0,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
& v3_orders_2(B) ) ) ) ),
file('theBenchmark.p',cc7_yellow_0) ).
fof(cc8_yellow_0,axiom,
! [A] :
( ( l1_orders_2(A)
& v4_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
=> ( v4_yellow_0(B,A)
& v4_orders_2(B) ) ) ) ),
file('theBenchmark.p',cc8_yellow_0) ).
fof(cc9_waybel_0,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('theBenchmark.p',cc9_waybel_0) ).
fof(dt_g1_orders_2,axiom,
! [A,B] :
( m1_relset_1(B,A,A)
=> ( l1_orders_2(g1_orders_2(A,B))
& v1_orders_2(g1_orders_2(A,B)) ) ),
file('theBenchmark.p',dt_g1_orders_2) ).
fof(dt_k1_waybel34,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('theBenchmark.p',dt_k1_waybel34) ).
fof(dt_k1_waybel_8,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('theBenchmark.p',dt_k1_waybel_8) ).
fof(dt_k1_xboole_0,axiom,
$true,
file('theBenchmark.p',dt_k1_xboole_0) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k1_zfmisc_1) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k2_zfmisc_1) ).
fof(dt_k7_relat_1,axiom,
! [A,B] :
( v1_relat_1(A)
=> v1_relat_1(k7_relat_1(A,B)) ),
file('theBenchmark.p',dt_k7_relat_1) ).
fof(dt_k8_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k8_relset_1(A,B,C,D),A,B) ),
file('theBenchmark.p',dt_k8_relset_1) ).
fof(dt_l1_orders_2,axiom,
! [A] :
( l1_orders_2(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_orders_2) ).
fof(dt_l1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_l1_struct_0) ).
fof(dt_m1_relset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_relset_1) ).
fof(dt_m1_subset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_subset_1) ).
fof(dt_m1_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( m1_yellow_0(B,A)
=> l1_orders_2(B) ) ),
file('theBenchmark.p',dt_m1_yellow_0) ).
fof(dt_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('theBenchmark.p',dt_m2_relset_1) ).
fof(dt_u1_orders_2,axiom,
! [A] :
( l1_orders_2(A)
=> m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ),
file('theBenchmark.p',dt_u1_orders_2) ).
fof(dt_u1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_u1_struct_0) ).
fof(existence_l1_orders_2,axiom,
? [A] : l1_orders_2(A),
file('theBenchmark.p',existence_l1_orders_2) ).
fof(existence_l1_struct_0,axiom,
? [A] : l1_struct_0(A),
file('theBenchmark.p',existence_l1_struct_0) ).
fof(existence_m1_relset_1,axiom,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
file('theBenchmark.p',existence_m1_relset_1) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('theBenchmark.p',existence_m1_subset_1) ).
fof(existence_m1_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ? [B] : m1_yellow_0(B,A) ),
file('theBenchmark.p',existence_m1_yellow_0) ).
fof(existence_m2_relset_1,axiom,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
file('theBenchmark.p',existence_m2_relset_1) ).
fof(fc10_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ),
file('theBenchmark.p',fc10_waybel_8) ).
fof(fc11_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_waybel_8(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ),
file('theBenchmark.p',fc11_waybel_8) ).
fof(fc14_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k2_zfmisc_1(A,B)) ),
file('theBenchmark.p',fc14_finset_1) ).
fof(fc14_waybel34,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(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('theBenchmark.p',fc14_waybel34) ).
fof(fc15_waybel34,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('theBenchmark.p',fc15_waybel34) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('theBenchmark.p',fc1_struct_0) ).
fof(fc1_waybel34,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('theBenchmark.p',fc1_waybel34) ).
fof(fc1_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_yellow_0(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v4_yellow_0(k1_waybel_8(A),A)
& v4_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('theBenchmark.p',fc1_waybel_8) ).
fof(fc3_waybel_8,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('theBenchmark.p',fc3_waybel_8) ).
fof(fc4_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(A)
& v1_relat_1(A) )
=> ( v1_funct_1(k7_relat_1(A,B))
& v1_relat_1(k7_relat_1(A,B)) ) ),
file('theBenchmark.p',fc4_funct_1) ).
fof(fc4_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ),
file('theBenchmark.p',fc4_waybel_8) ).
fof(fc5_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ),
file('theBenchmark.p',fc5_waybel_8) ).
fof(fc6_membered,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('theBenchmark.p',fc6_membered) ).
fof(fc6_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_orders_2(A) )
=> ( v3_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ),
file('theBenchmark.p',fc6_waybel_8) ).
fof(fc7_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v4_orders_2(A) )
=> ( v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ),
file('theBenchmark.p',fc7_waybel_8) ).
fof(fc8_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A) )
=> ( v2_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ),
file('theBenchmark.p',fc8_waybel_8) ).
fof(fc9_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v1_lattice3(A) )
=> ( v1_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) ) ),
file('theBenchmark.p',fc9_waybel_8) ).
fof(free_g1_orders_2,axiom,
! [A,B] :
( m1_relset_1(B,A,A)
=> ! [C,D] :
( g1_orders_2(A,B) = g1_orders_2(C,D)
=> ( B = D
& A = C ) ) ),
file('theBenchmark.p',free_g1_orders_2) ).
fof(rc13_waybel_0,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('theBenchmark.p',rc13_waybel_0) ).
fof(rc1_finset_1,axiom,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
file('theBenchmark.p',rc1_finset_1) ).
fof(rc1_funct_1,axiom,
? [A] :
( v1_funct_1(A)
& v1_relat_1(A) ),
file('theBenchmark.p',rc1_funct_1) ).
fof(rc1_lattice3,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('theBenchmark.p',rc1_lattice3) ).
fof(rc1_lattice5,axiom,
! [A,B] :
( ( 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) )
=> ? [C] :
( v20_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)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ),
file('theBenchmark.p',rc1_lattice5) ).
fof(rc1_membered,axiom,
? [A] :
( v5_membered(A)
& v4_membered(A)
& v3_membered(A)
& v2_membered(A)
& v1_membered(A)
& ~ v1_xboole_0(A) ),
file('theBenchmark.p',rc1_membered) ).
fof(rc1_waybel10,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A) )
=> ? [C] :
( v5_orders_3(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_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ),
file('theBenchmark.p',rc1_waybel10) ).
fof(rc2_funct_1,axiom,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
file('theBenchmark.p',rc2_funct_1) ).
fof(rc2_lattice3,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('theBenchmark.p',rc2_lattice3) ).
fof(rc2_waybel34,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v2_yellow_0(B)
& v4_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v22_waybel_0(C,A,B)
& v21_waybel_0(C,A,B)
& v19_waybel_0(C,A,B)
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ),
file('theBenchmark.p',rc2_waybel34) ).
fof(rc2_waybel_3,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('theBenchmark.p',rc2_waybel_3) ).
fof(rc2_yellow_0,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('theBenchmark.p',rc2_yellow_0) ).
fof(rc3_finset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc3_finset_1) ).
fof(rc3_funct_1,axiom,
? [A] :
( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('theBenchmark.p',rc3_funct_1) ).
fof(rc3_struct_0,axiom,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
file('theBenchmark.p',rc3_struct_0) ).
fof(rc3_waybel34,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v1_yellow_0(B)
& v4_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v22_waybel_0(C,A,B)
& v21_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v18_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ),
file('theBenchmark.p',rc3_waybel34) ).
fof(rc3_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ? [B] :
( v4_yellow_0(B,A)
& v1_orders_2(B)
& m1_yellow_0(B,A) ) ),
file('theBenchmark.p',rc3_yellow_0) ).
fof(rc3_yellow_9,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v2_yellow_0(B)
& v4_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v21_waybel_0(C,A,B)
& v19_waybel_0(C,A,B)
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& ~ v1_xboole_0(C)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ),
file('theBenchmark.p',rc3_yellow_9) ).
fof(rc4_finset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc4_finset_1) ).
fof(rc4_waybel34,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v1_yellow_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& v1_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v5_waybel34(C,A,B)
& v5_orders_3(C,A,B)
& 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)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ),
file('theBenchmark.p',rc4_waybel34) ).
fof(rc4_yellow_0,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v4_yellow_0(B,A)
& v1_orders_2(B)
& ~ v3_struct_0(B)
& m1_yellow_0(B,A) ) ),
file('theBenchmark.p',rc4_yellow_0) ).
fof(rc4_yellow_9,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v1_yellow_0(B)
& v4_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v22_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v18_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& ~ v1_xboole_0(C)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ),
file('theBenchmark.p',rc4_yellow_9) ).
fof(rc5_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc5_struct_0) ).
fof(rc6_waybel34,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v1_yellow_0(B)
& v4_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v5_waybel34(C,A,B)
& v4_waybel34(C,A,B)
& v22_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v18_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) ) ),
file('theBenchmark.p',rc6_waybel34) ).
fof(redefinition_k8_relset_1,axiom,
! [A,B,C,D] :
( m1_relset_1(C,A,B)
=> k8_relset_1(A,B,C,D) = k7_relat_1(C,D) ),
file('theBenchmark.p',redefinition_k8_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('theBenchmark.p',redefinition_m2_relset_1) ).
fof(redefinition_r3_orders_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( r3_orders_2(A,B,C)
<=> r1_orders_2(A,B,C) ) ),
file('theBenchmark.p',redefinition_r3_orders_2) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(reflexivity_r3_orders_2,axiom,
! [A,B,C] :
( ( m1_subset_1(C,u1_struct_0(A))
& m1_subset_1(B,u1_struct_0(A))
& l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> r3_orders_2(A,B,B) ),
file('theBenchmark.p',reflexivity_r3_orders_2) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('theBenchmark.p',t1_subset) ).
fof(t24_waybel34,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('theBenchmark.p',t24_waybel34) ).
fof(t25_waybel34,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('theBenchmark.p',t25_waybel34) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('theBenchmark.p',t2_subset) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('theBenchmark.p',t3_subset) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) )
=> m1_subset_1(A,C) ),
file('theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [A,B,C] :
~ ( v1_xboole_0(C)
& m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) ),
file('theBenchmark.p',t5_subset) ).
fof(t60_waybel34,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('theBenchmark.p',t60_waybel34) ).
fof(t61_waybel34,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('theBenchmark.p',t61_waybel34) ).
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('theBenchmark.p',t6_boole) ).
fof(t70_waybel34,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('theBenchmark.p',t70_waybel34) ).
fof(t7_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& r2_hidden(A,B) ),
file('theBenchmark.p',t7_boole) ).
fof(t7_waybel_8,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( v2_waybel_8(A)
<=> ( ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ~ ( ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ~ ( r3_orders_2(A,D,C)
& r3_orders_2(A,B,D)
& r2_hidden(D,u1_struct_0(k1_waybel_8(A))) ) )
& r1_waybel_3(A,B,C) ) ) )
& v3_waybel_3(A) ) ) ),
file('theBenchmark.p',t7_waybel_8) ).
fof(t8_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& A != B
& v1_xboole_0(A) ),
file('theBenchmark.p',t8_boole) ).
fof(f_1_1,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(negate,[status(cth)],[t71_waybel34]) ).
fof(f_1_2,negated_conjecture,
? [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(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(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_2] :
( ? [U_1] :
( ? [U_0] :
( ( ( ~ v22_waybel_0(U_0,U_2,U_1)
& m2_relset_1(k8_relset_1(u1_struct_0(U_1),u1_struct_0(U_2),k1_waybel34(U_2,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),u1_struct_0(k1_waybel_8(U_1)),u1_struct_0(k1_waybel_8(U_2)))
& v4_waybel34(k8_relset_1(u1_struct_0(U_1),u1_struct_0(U_2),k1_waybel34(U_2,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),k1_waybel_8(U_1),k1_waybel_8(U_2))
& v1_funct_2(k8_relset_1(u1_struct_0(U_1),u1_struct_0(U_2),k1_waybel34(U_2,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),u1_struct_0(k1_waybel_8(U_1)),u1_struct_0(k1_waybel_8(U_2)))
& v1_funct_1(k8_relset_1(u1_struct_0(U_1),u1_struct_0(U_2),k1_waybel34(U_2,U_1,U_0),u1_struct_0(k1_waybel_8(U_1)))) )
| ( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(U_1),u1_struct_0(U_2),k1_waybel34(U_2,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),u1_struct_0(k1_waybel_8(U_1)),u1_struct_0(k1_waybel_8(U_2)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(U_1),u1_struct_0(U_2),k1_waybel34(U_2,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),k1_waybel_8(U_1),k1_waybel_8(U_2))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(U_1),u1_struct_0(U_2),k1_waybel34(U_2,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),u1_struct_0(k1_waybel_8(U_1)),u1_struct_0(k1_waybel_8(U_2)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(U_1),u1_struct_0(U_2),k1_waybel34(U_2,U_1,U_0),u1_struct_0(k1_waybel_8(U_1)))) )
& v22_waybel_0(U_0,U_2,U_1) ) )
& m2_relset_1(U_0,u1_struct_0(U_2),u1_struct_0(U_1))
& v17_waybel_0(U_0,U_2,U_1)
& v1_funct_2(U_0,u1_struct_0(U_2),u1_struct_0(U_1))
& v1_funct_1(U_0) )
& v2_waybel_8(U_1)
& l1_orders_2(U_1)
& v3_lattice3(U_1)
& v2_lattice3(U_1)
& v1_lattice3(U_1)
& v4_orders_2(U_1)
& v3_orders_2(U_1)
& v2_orders_2(U_1) )
& l1_orders_2(U_2)
& v3_lattice3(U_2)
& v2_lattice3(U_2)
& v1_lattice3(U_2)
& v4_orders_2(U_2)
& v3_orders_2(U_2)
& v2_orders_2(U_2) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_1] :
( ? [U_0] :
( ( ( ~ v22_waybel_0(U_0,sK1,U_1)
& m2_relset_1(k8_relset_1(u1_struct_0(U_1),u1_struct_0(sK1),k1_waybel34(sK1,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),u1_struct_0(k1_waybel_8(U_1)),u1_struct_0(k1_waybel_8(sK1)))
& v4_waybel34(k8_relset_1(u1_struct_0(U_1),u1_struct_0(sK1),k1_waybel34(sK1,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),k1_waybel_8(U_1),k1_waybel_8(sK1))
& v1_funct_2(k8_relset_1(u1_struct_0(U_1),u1_struct_0(sK1),k1_waybel34(sK1,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),u1_struct_0(k1_waybel_8(U_1)),u1_struct_0(k1_waybel_8(sK1)))
& v1_funct_1(k8_relset_1(u1_struct_0(U_1),u1_struct_0(sK1),k1_waybel34(sK1,U_1,U_0),u1_struct_0(k1_waybel_8(U_1)))) )
| ( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(U_1),u1_struct_0(sK1),k1_waybel34(sK1,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),u1_struct_0(k1_waybel_8(U_1)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(U_1),u1_struct_0(sK1),k1_waybel34(sK1,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),k1_waybel_8(U_1),k1_waybel_8(sK1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(U_1),u1_struct_0(sK1),k1_waybel34(sK1,U_1,U_0),u1_struct_0(k1_waybel_8(U_1))),u1_struct_0(k1_waybel_8(U_1)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(U_1),u1_struct_0(sK1),k1_waybel34(sK1,U_1,U_0),u1_struct_0(k1_waybel_8(U_1)))) )
& v22_waybel_0(U_0,sK1,U_1) ) )
& m2_relset_1(U_0,u1_struct_0(sK1),u1_struct_0(U_1))
& v17_waybel_0(U_0,sK1,U_1)
& v1_funct_2(U_0,u1_struct_0(sK1),u1_struct_0(U_1))
& v1_funct_1(U_0) )
& v2_waybel_8(U_1)
& l1_orders_2(U_1)
& v3_lattice3(U_1)
& v2_lattice3(U_1)
& v1_lattice3(U_1)
& v4_orders_2(U_1)
& v3_orders_2(U_1)
& v2_orders_2(U_1) )
& l1_orders_2(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_0] :
( ( ( ~ v22_waybel_0(U_0,sK1,sK2)
& m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,U_0),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
& v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,U_0),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
& v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,U_0),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
& v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,U_0),u1_struct_0(k1_waybel_8(sK2)))) )
| ( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,U_0),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,U_0),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,U_0),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,U_0),u1_struct_0(k1_waybel_8(sK2)))) )
& v22_waybel_0(U_0,sK1,sK2) ) )
& m2_relset_1(U_0,u1_struct_0(sK1),u1_struct_0(sK2))
& v17_waybel_0(U_0,sK1,sK2)
& v1_funct_2(U_0,u1_struct_0(sK1),u1_struct_0(sK2))
& v1_funct_1(U_0) )
& v2_waybel_8(sK2)
& l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2)
& l1_orders_2(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ( ( ~ v22_waybel_0(sK3,sK1,sK2)
& m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
& v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
& v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
& v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2)))) )
| ( ( ~ m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2)))) )
& v22_waybel_0(sK3,sK1,sK2) ) )
& m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v17_waybel_0(sK3,sK1,sK2)
& v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v1_funct_1(sK3)
& v2_waybel_8(sK2)
& l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2)
& l1_orders_2(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_0,sK3)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
v2_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
v3_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_9,negated_conjecture,
v4_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_10,negated_conjecture,
v1_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_11,negated_conjecture,
v2_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_12,negated_conjecture,
v3_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_13,negated_conjecture,
l1_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_14,negated_conjecture,
v2_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_15,negated_conjecture,
v3_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_16,negated_conjecture,
v4_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_17,negated_conjecture,
v1_lattice3(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_18,negated_conjecture,
v2_lattice3(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_19,negated_conjecture,
v3_lattice3(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_20,negated_conjecture,
l1_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_21,negated_conjecture,
v2_waybel_8(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_22,negated_conjecture,
v1_funct_1(sK3),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_23,negated_conjecture,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_24,negated_conjecture,
v17_waybel_0(sK3,sK1,sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_25,negated_conjecture,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_26,negated_conjecture,
( v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))))
| v22_waybel_0(sK3,sK1,sK2) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_27,negated_conjecture,
( v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| v22_waybel_0(sK3,sK1,sK2) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_28,negated_conjecture,
( v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| v22_waybel_0(sK3,sK1,sK2) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_29,negated_conjecture,
( m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| v22_waybel_0(sK3,sK1,sK2) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_30,negated_conjecture,
( ~ v22_waybel_0(sK3,sK1,sK2)
| v22_waybel_0(sK3,sK1,sK2) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_31,negated_conjecture,
( v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2)))) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_32,negated_conjecture,
( v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2)))) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_33,negated_conjecture,
( v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2)))) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_34,negated_conjecture,
( m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2)))) ),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_35,negated_conjecture,
( ~ v22_waybel_0(sK3,sK1,sK2)
| ~ m2_relset_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),k1_waybel_8(sK2),k1_waybel_8(sK1))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2))),u1_struct_0(k1_waybel_8(sK2)),u1_struct_0(k1_waybel_8(sK1)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(sK2),u1_struct_0(sK1),k1_waybel34(sK1,sK2,sK3),u1_struct_0(k1_waybel_8(sK2)))) ),
inference(clausify,[status(thm)],[f_1_6]) ).
fof(f_2_1,plain,
! [A] :
( A = g1_orders_2(u1_struct_0(A),u1_orders_2(A))
| ~ v1_orders_2(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v1_orders_2]) ).
fof(f_2_2,plain,
! [U_3] :
( U_3 = g1_orders_2(u1_struct_0(U_3),u1_orders_2(U_3))
| ~ v1_orders_2(U_3)
| ~ l1_orders_2(U_3) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( U_3 = g1_orders_2(u1_struct_0(U_3),u1_orders_2(U_3))
| ~ v1_orders_2(U_3)
| ~ l1_orders_2(U_3) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A,B] :
( ~ r2_hidden(B,A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( ~ r2_hidden(U_4,U_5)
| ~ r2_hidden(U_5,U_4) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( ~ r2_hidden(U_4,U_5)
| ~ r2_hidden(U_5,U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A] :
( ! [B] :
( v1_xcmplx_0(B)
| ~ m1_subset_1(B,A) )
| ~ v1_membered(A) ),
inference(fof_nnf,[status(thm)],[cc10_membered]) ).
fof(f_4_2,plain,
! [U_7] :
( ! [U_6] :
( v1_xcmplx_0(U_6)
| ~ m1_subset_1(U_6,U_7) )
| ~ v1_membered(U_7) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( v1_xcmplx_0(U_6)
| ~ m1_subset_1(U_6,U_7)
| ~ v1_membered(U_7) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,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(fof_nnf,[status(thm)],[cc10_waybel_0]) ).
fof(f_5_2,plain,
! [U_8] :
( ( v25_waybel_0(U_8)
& v24_waybel_0(U_8)
& v2_orders_2(U_8)
& ~ v3_struct_0(U_8) )
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( ~ v3_struct_0(U_8)
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(f_5_4,plain,
( v2_orders_2(U_8)
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(f_5_5,plain,
( v24_waybel_0(U_8)
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(f_5_6,plain,
( v25_waybel_0(U_8)
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A] :
( ! [B] :
( ( v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc11_membered]) ).
fof(f_6_2,plain,
! [U_10] :
( ! [U_9] :
( ( v1_xreal_0(U_9)
& v1_xcmplx_0(U_9) )
| ~ m1_subset_1(U_9,U_10) )
| ~ v2_membered(U_10) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( v1_xcmplx_0(U_9)
| ~ m1_subset_1(U_9,U_10)
| ~ v2_membered(U_10) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( v1_xreal_0(U_9)
| ~ m1_subset_1(U_9,U_10)
| ~ v2_membered(U_10) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,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(fof_nnf,[status(thm)],[cc11_waybel_0]) ).
fof(f_7_2,plain,
! [U_11] :
( ( v1_yellow_0(U_11)
& v2_orders_2(U_11)
& ~ v3_struct_0(U_11) )
| ~ v25_waybel_0(U_11)
| ~ v2_orders_2(U_11)
| v3_struct_0(U_11)
| ~ l1_orders_2(U_11) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( ~ v3_struct_0(U_11)
| ~ v25_waybel_0(U_11)
| ~ v2_orders_2(U_11)
| v3_struct_0(U_11)
| ~ l1_orders_2(U_11) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( v2_orders_2(U_11)
| ~ v25_waybel_0(U_11)
| ~ v2_orders_2(U_11)
| v3_struct_0(U_11)
| ~ l1_orders_2(U_11) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_5,plain,
( v1_yellow_0(U_11)
| ~ v25_waybel_0(U_11)
| ~ v2_orders_2(U_11)
| v3_struct_0(U_11)
| ~ l1_orders_2(U_11) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc12_membered]) ).
fof(f_8_2,plain,
! [U_13] :
( ! [U_12] :
( ( v1_rat_1(U_12)
& v1_xreal_0(U_12)
& v1_xcmplx_0(U_12) )
| ~ m1_subset_1(U_12,U_13) )
| ~ v3_membered(U_13) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( v1_xcmplx_0(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v3_membered(U_13) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( v1_xreal_0(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v3_membered(U_13) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_5,plain,
( v1_rat_1(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v3_membered(U_13) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,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(fof_nnf,[status(thm)],[cc12_waybel_0]) ).
fof(f_9_2,plain,
! [U_14] :
( ( v3_yellow_0(U_14)
& v2_yellow_0(U_14)
& v1_yellow_0(U_14)
& v3_lattice3(U_14)
& v2_lattice3(U_14)
& v1_lattice3(U_14)
& v4_orders_2(U_14)
& v3_orders_2(U_14)
& v2_orders_2(U_14)
& ~ v3_struct_0(U_14) )
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( ~ v3_struct_0(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( v2_orders_2(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_5,plain,
( v3_orders_2(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_6,plain,
( v4_orders_2(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_7,plain,
( v1_lattice3(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_8,plain,
( v2_lattice3(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_9,plain,
( v3_lattice3(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_10,plain,
( v1_yellow_0(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_11,plain,
( v2_yellow_0(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_12,plain,
( v3_yellow_0(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,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(fof_nnf,[status(thm)],[cc12_yellow_0]) ).
fof(f_10_2,plain,
! [U_16] :
( ! [U_15] :
( ( v6_yellow_0(U_15,U_16)
& v4_yellow_0(U_15,U_16)
& v1_lattice3(U_15)
& v4_orders_2(U_15)
& v3_orders_2(U_15)
& ~ v3_struct_0(U_15) )
| ~ v6_yellow_0(U_15,U_16)
| ~ v4_yellow_0(U_15,U_16)
| v3_struct_0(U_15)
| ~ m1_yellow_0(U_15,U_16) )
| ~ l1_orders_2(U_16)
| ~ v1_lattice3(U_16)
| ~ v4_orders_2(U_16)
| ~ v3_orders_2(U_16) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( ~ v3_struct_0(U_15)
| ~ v6_yellow_0(U_15,U_16)
| ~ v4_yellow_0(U_15,U_16)
| v3_struct_0(U_15)
| ~ m1_yellow_0(U_15,U_16)
| ~ l1_orders_2(U_16)
| ~ v1_lattice3(U_16)
| ~ v4_orders_2(U_16)
| ~ v3_orders_2(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( v3_orders_2(U_15)
| ~ v6_yellow_0(U_15,U_16)
| ~ v4_yellow_0(U_15,U_16)
| v3_struct_0(U_15)
| ~ m1_yellow_0(U_15,U_16)
| ~ l1_orders_2(U_16)
| ~ v1_lattice3(U_16)
| ~ v4_orders_2(U_16)
| ~ v3_orders_2(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_5,plain,
( v4_orders_2(U_15)
| ~ v6_yellow_0(U_15,U_16)
| ~ v4_yellow_0(U_15,U_16)
| v3_struct_0(U_15)
| ~ m1_yellow_0(U_15,U_16)
| ~ l1_orders_2(U_16)
| ~ v1_lattice3(U_16)
| ~ v4_orders_2(U_16)
| ~ v3_orders_2(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_6,plain,
( v1_lattice3(U_15)
| ~ v6_yellow_0(U_15,U_16)
| ~ v4_yellow_0(U_15,U_16)
| v3_struct_0(U_15)
| ~ m1_yellow_0(U_15,U_16)
| ~ l1_orders_2(U_16)
| ~ v1_lattice3(U_16)
| ~ v4_orders_2(U_16)
| ~ v3_orders_2(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_7,plain,
( v4_yellow_0(U_15,U_16)
| ~ v6_yellow_0(U_15,U_16)
| ~ v4_yellow_0(U_15,U_16)
| v3_struct_0(U_15)
| ~ m1_yellow_0(U_15,U_16)
| ~ l1_orders_2(U_16)
| ~ v1_lattice3(U_16)
| ~ v4_orders_2(U_16)
| ~ v3_orders_2(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_8,plain,
( v6_yellow_0(U_15,U_16)
| ~ v6_yellow_0(U_15,U_16)
| ~ v4_yellow_0(U_15,U_16)
| v3_struct_0(U_15)
| ~ m1_yellow_0(U_15,U_16)
| ~ l1_orders_2(U_16)
| ~ v1_lattice3(U_16)
| ~ v4_orders_2(U_16)
| ~ v3_orders_2(U_16) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc13_membered]) ).
fof(f_11_2,plain,
! [U_18] :
( ! [U_17] :
( ( v1_rat_1(U_17)
& v1_int_1(U_17)
& v1_xreal_0(U_17)
& v1_xcmplx_0(U_17) )
| ~ m1_subset_1(U_17,U_18) )
| ~ v4_membered(U_18) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( v1_xcmplx_0(U_17)
| ~ m1_subset_1(U_17,U_18)
| ~ v4_membered(U_18) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( v1_xreal_0(U_17)
| ~ m1_subset_1(U_17,U_18)
| ~ v4_membered(U_18) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_5,plain,
( v1_int_1(U_17)
| ~ m1_subset_1(U_17,U_18)
| ~ v4_membered(U_18) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_6,plain,
( v1_rat_1(U_17)
| ~ m1_subset_1(U_17,U_18)
| ~ v4_membered(U_18) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [A] :
( ( v2_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v25_waybel_0(A)
| ~ v4_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc13_waybel_0]) ).
fof(f_12_2,plain,
! [U_19] :
( ( v2_lattice3(U_19)
& v4_orders_2(U_19)
& v2_orders_2(U_19)
& ~ v3_struct_0(U_19) )
| ~ v25_waybel_0(U_19)
| ~ v4_orders_2(U_19)
| ~ v2_orders_2(U_19)
| v3_struct_0(U_19)
| ~ l1_orders_2(U_19) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( ~ v3_struct_0(U_19)
| ~ v25_waybel_0(U_19)
| ~ v4_orders_2(U_19)
| ~ v2_orders_2(U_19)
| v3_struct_0(U_19)
| ~ l1_orders_2(U_19) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( v2_orders_2(U_19)
| ~ v25_waybel_0(U_19)
| ~ v4_orders_2(U_19)
| ~ v2_orders_2(U_19)
| v3_struct_0(U_19)
| ~ l1_orders_2(U_19) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_5,plain,
( v4_orders_2(U_19)
| ~ v25_waybel_0(U_19)
| ~ v4_orders_2(U_19)
| ~ v2_orders_2(U_19)
| v3_struct_0(U_19)
| ~ l1_orders_2(U_19) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_6,plain,
( v2_lattice3(U_19)
| ~ v25_waybel_0(U_19)
| ~ v4_orders_2(U_19)
| ~ v2_orders_2(U_19)
| v3_struct_0(U_19)
| ~ l1_orders_2(U_19) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v4_ordinal2(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc14_membered]) ).
fof(f_13_2,plain,
! [U_21] :
( ! [U_20] :
( ( v1_rat_1(U_20)
& v1_int_1(U_20)
& v1_xreal_0(U_20)
& v4_ordinal2(U_20)
& v1_xcmplx_0(U_20) )
| ~ m1_subset_1(U_20,U_21) )
| ~ v5_membered(U_21) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( v1_xcmplx_0(U_20)
| ~ m1_subset_1(U_20,U_21)
| ~ v5_membered(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( v4_ordinal2(U_20)
| ~ m1_subset_1(U_20,U_21)
| ~ v5_membered(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_5,plain,
( v1_xreal_0(U_20)
| ~ m1_subset_1(U_20,U_21)
| ~ v5_membered(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_6,plain,
( v1_int_1(U_20)
| ~ m1_subset_1(U_20,U_21)
| ~ v5_membered(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_7,plain,
( v1_rat_1(U_20)
| ~ m1_subset_1(U_20,U_21)
| ~ v5_membered(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
! [A] :
( ( v2_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v25_waybel_0(A)
| ~ v2_yellow_0(A)
| ~ v4_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc14_waybel_0]) ).
fof(f_14_2,plain,
! [U_22] :
( ( v2_yellow_0(U_22)
& v1_lattice3(U_22)
& v4_orders_2(U_22)
& v2_orders_2(U_22)
& ~ v3_struct_0(U_22) )
| ~ v25_waybel_0(U_22)
| ~ v2_yellow_0(U_22)
| ~ v4_orders_2(U_22)
| ~ v2_orders_2(U_22)
| v3_struct_0(U_22)
| ~ l1_orders_2(U_22) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( ~ v3_struct_0(U_22)
| ~ v25_waybel_0(U_22)
| ~ v2_yellow_0(U_22)
| ~ v4_orders_2(U_22)
| ~ v2_orders_2(U_22)
| v3_struct_0(U_22)
| ~ l1_orders_2(U_22) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( v2_orders_2(U_22)
| ~ v25_waybel_0(U_22)
| ~ v2_yellow_0(U_22)
| ~ v4_orders_2(U_22)
| ~ v2_orders_2(U_22)
| v3_struct_0(U_22)
| ~ l1_orders_2(U_22) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_5,plain,
( v4_orders_2(U_22)
| ~ v25_waybel_0(U_22)
| ~ v2_yellow_0(U_22)
| ~ v4_orders_2(U_22)
| ~ v2_orders_2(U_22)
| v3_struct_0(U_22)
| ~ l1_orders_2(U_22) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_6,plain,
( v1_lattice3(U_22)
| ~ v25_waybel_0(U_22)
| ~ v2_yellow_0(U_22)
| ~ v4_orders_2(U_22)
| ~ v2_orders_2(U_22)
| v3_struct_0(U_22)
| ~ l1_orders_2(U_22) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_7,plain,
( v2_yellow_0(U_22)
| ~ v25_waybel_0(U_22)
| ~ v2_yellow_0(U_22)
| ~ v4_orders_2(U_22)
| ~ v2_orders_2(U_22)
| v3_struct_0(U_22)
| ~ l1_orders_2(U_22) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [A] :
( ( v5_membered(A)
& v4_membered(A)
& v3_membered(A)
& v2_membered(A)
& v1_membered(A) )
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc15_membered]) ).
fof(f_15_2,plain,
! [U_23] :
( ( v5_membered(U_23)
& v4_membered(U_23)
& v3_membered(U_23)
& v2_membered(U_23)
& v1_membered(U_23) )
| ~ v1_xboole_0(U_23) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( v1_membered(U_23)
| ~ v1_xboole_0(U_23) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_4,plain,
( v2_membered(U_23)
| ~ v1_xboole_0(U_23) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_5,plain,
( v3_membered(U_23)
| ~ v1_xboole_0(U_23) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_6,plain,
( v4_membered(U_23)
| ~ v1_xboole_0(U_23) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_7,plain,
( v5_membered(U_23)
| ~ v1_xboole_0(U_23) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [A] :
( ! [B] :
( v1_membered(B)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v1_membered(A) ),
inference(fof_nnf,[status(thm)],[cc16_membered]) ).
fof(f_16_2,plain,
! [U_25] :
( ! [U_24] :
( v1_membered(U_24)
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25)) )
| ~ v1_membered(U_25) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( v1_membered(U_24)
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25))
| ~ v1_membered(U_25) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [A] :
( ! [B] :
( ( v2_membered(B)
& v1_membered(B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc17_membered]) ).
fof(f_17_2,plain,
! [U_27] :
( ! [U_26] :
( ( v2_membered(U_26)
& v1_membered(U_26) )
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27)) )
| ~ v2_membered(U_27) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( v1_membered(U_26)
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27))
| ~ v2_membered(U_27) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( v2_membered(U_26)
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27))
| ~ v2_membered(U_27) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [A] :
( ! [B] :
( ( v3_membered(B)
& v2_membered(B)
& v1_membered(B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc18_membered]) ).
fof(f_18_2,plain,
! [U_29] :
( ! [U_28] :
( ( v3_membered(U_28)
& v2_membered(U_28)
& v1_membered(U_28) )
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29)) )
| ~ v3_membered(U_29) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( v1_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v3_membered(U_29) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_4,plain,
( v2_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v3_membered(U_29) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_5,plain,
( v3_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v3_membered(U_29) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [A] :
( ! [B] :
( ( v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc19_membered]) ).
fof(f_19_2,plain,
! [U_31] :
( ! [U_30] :
( ( v4_membered(U_30)
& v3_membered(U_30)
& v2_membered(U_30)
& v1_membered(U_30) )
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31)) )
| ~ v4_membered(U_31) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( v1_membered(U_30)
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31))
| ~ v4_membered(U_31) ),
inference(clausify,[status(thm)],[f_19_2]) ).
cnf(f_19_4,plain,
( v2_membered(U_30)
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31))
| ~ v4_membered(U_31) ),
inference(clausify,[status(thm)],[f_19_2]) ).
cnf(f_19_5,plain,
( v3_membered(U_30)
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31))
| ~ v4_membered(U_31) ),
inference(clausify,[status(thm)],[f_19_2]) ).
cnf(f_19_6,plain,
( v4_membered(U_30)
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31))
| ~ v4_membered(U_31) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
! [A] :
( v1_finset_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_finset_1]) ).
fof(f_20_2,plain,
! [U_32] :
( v1_finset_1(U_32)
| ~ v1_xboole_0(U_32) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( v1_finset_1(U_32)
| ~ v1_xboole_0(U_32) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [A] :
( v1_funct_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_funct_1]) ).
fof(f_21_2,plain,
! [U_33] :
( v1_funct_1(U_33)
| ~ v1_xboole_0(U_33) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( v1_funct_1(U_33)
| ~ v1_xboole_0(U_33) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v1_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc1_lattice3]) ).
fof(f_22_2,plain,
! [U_34] :
( ~ v3_struct_0(U_34)
| ~ v1_lattice3(U_34)
| ~ l1_orders_2(U_34) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( ~ v3_struct_0(U_34)
| ~ v1_lattice3(U_34)
| ~ l1_orders_2(U_34) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [A] :
( v4_membered(A)
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc1_membered]) ).
fof(f_23_2,plain,
! [U_35] :
( v4_membered(U_35)
| ~ v5_membered(U_35) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( v4_membered(U_35)
| ~ v5_membered(U_35) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [A,B,C] :
( v1_relat_1(C)
| ~ m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
inference(fof_nnf,[status(thm)],[cc1_relset_1]) ).
fof(f_24_2,plain,
! [U_38,U_37,U_36] :
( v1_relat_1(U_36)
| ~ m1_subset_1(U_36,k1_zfmisc_1(k2_zfmisc_1(U_38,U_37))) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( v1_relat_1(U_36)
| ~ m1_subset_1(U_36,k1_zfmisc_1(k2_zfmisc_1(U_38,U_37))) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,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(fof_nnf,[status(thm)],[cc1_waybel17]) ).
fof(f_25_2,plain,
! [U_41,U_40] :
( ! [U_39] :
( ( v1_partfun1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
& v5_orders_3(U_39,U_41,U_40)
& v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
& v1_funct_1(U_39)
& ~ v1_xboole_0(U_39) )
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40)) )
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( ~ v1_xboole_0(U_39)
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_4,plain,
( v1_funct_1(U_39)
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_5,plain,
( v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_6,plain,
( v5_orders_3(U_39,U_41,U_40)
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_7,plain,
( v1_partfun1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,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(fof_nnf,[status(thm)],[cc1_waybel21]) ).
fof(f_26_2,plain,
! [U_44,U_43] :
( ! [U_42] :
( ( v5_orders_3(U_42,U_44,U_43)
& v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
& v1_funct_1(U_42) )
| ~ v19_waybel_0(U_42,U_44,U_43)
| ~ v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v1_funct_1(U_42)
| ~ m1_relset_1(U_42,u1_struct_0(U_44),u1_struct_0(U_43)) )
| ~ l1_orders_2(U_43)
| ~ v2_lattice3(U_43)
| ~ v4_orders_2(U_43)
| ~ v3_orders_2(U_43)
| ~ v2_orders_2(U_43)
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( v1_funct_1(U_42)
| ~ v19_waybel_0(U_42,U_44,U_43)
| ~ v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v1_funct_1(U_42)
| ~ m1_relset_1(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ l1_orders_2(U_43)
| ~ v2_lattice3(U_43)
| ~ v4_orders_2(U_43)
| ~ v3_orders_2(U_43)
| ~ v2_orders_2(U_43)
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_4,plain,
( v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v19_waybel_0(U_42,U_44,U_43)
| ~ v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v1_funct_1(U_42)
| ~ m1_relset_1(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ l1_orders_2(U_43)
| ~ v2_lattice3(U_43)
| ~ v4_orders_2(U_43)
| ~ v3_orders_2(U_43)
| ~ v2_orders_2(U_43)
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_5,plain,
( v5_orders_3(U_42,U_44,U_43)
| ~ v19_waybel_0(U_42,U_44,U_43)
| ~ v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v1_funct_1(U_42)
| ~ m1_relset_1(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ l1_orders_2(U_43)
| ~ v2_lattice3(U_43)
| ~ v4_orders_2(U_43)
| ~ v3_orders_2(U_43)
| ~ v2_orders_2(U_43)
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
! [A,B] :
( ! [C] :
( ( v5_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(fof_nnf,[status(thm)],[cc1_waybel34]) ).
fof(f_27_2,plain,
! [U_47,U_46] :
( ! [U_45] :
( ( v5_waybel34(U_45,U_47,U_46)
& v1_funct_2(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
& v1_funct_1(U_45) )
| ~ v18_waybel_0(U_45,U_47,U_46)
| ~ v1_funct_2(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
| ~ v1_funct_1(U_45)
| ~ m1_relset_1(U_45,u1_struct_0(U_47),u1_struct_0(U_46)) )
| ~ l1_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_47)
| v3_struct_0(U_47) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( v1_funct_1(U_45)
| ~ v18_waybel_0(U_45,U_47,U_46)
| ~ v1_funct_2(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
| ~ v1_funct_1(U_45)
| ~ m1_relset_1(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
| ~ l1_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_47)
| v3_struct_0(U_47) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_4,plain,
( v1_funct_2(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
| ~ v18_waybel_0(U_45,U_47,U_46)
| ~ v1_funct_2(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
| ~ v1_funct_1(U_45)
| ~ m1_relset_1(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
| ~ l1_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_47)
| v3_struct_0(U_47) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_5,plain,
( v5_waybel34(U_45,U_47,U_46)
| ~ v18_waybel_0(U_45,U_47,U_46)
| ~ v1_funct_2(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
| ~ v1_funct_1(U_45)
| ~ m1_relset_1(U_45,u1_struct_0(U_47),u1_struct_0(U_46))
| ~ l1_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_47)
| v3_struct_0(U_47) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,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(fof_nnf,[status(thm)],[cc1_waybel_8]) ).
fof(f_28_2,plain,
! [U_48] :
( ( v3_waybel_3(U_48)
& v2_waybel_3(U_48)
& v24_waybel_0(U_48)
& v2_yellow_0(U_48)
& v2_lattice3(U_48)
& v1_lattice3(U_48)
& v4_orders_2(U_48)
& v3_orders_2(U_48)
& v2_orders_2(U_48)
& ~ v3_struct_0(U_48) )
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( ~ v3_struct_0(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_4,plain,
( v2_orders_2(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_5,plain,
( v3_orders_2(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_6,plain,
( v4_orders_2(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_7,plain,
( v1_lattice3(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_8,plain,
( v2_lattice3(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_9,plain,
( v2_yellow_0(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_10,plain,
( v24_waybel_0(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_11,plain,
( v2_waybel_3(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_12,plain,
( v3_waybel_3(U_48)
| ~ v2_waybel_8(U_48)
| ~ v2_lattice3(U_48)
| ~ v1_lattice3(U_48)
| ~ v4_orders_2(U_48)
| ~ v3_orders_2(U_48)
| ~ v2_orders_2(U_48)
| ~ l1_orders_2(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [A] :
( ( v2_lattice3(A)
& v1_lattice3(A)
& ~ v3_struct_0(A) )
| ~ v3_lattice3(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc1_yellow_0]) ).
fof(f_29_2,plain,
! [U_49] :
( ( v2_lattice3(U_49)
& v1_lattice3(U_49)
& ~ v3_struct_0(U_49) )
| ~ v3_lattice3(U_49)
| v3_struct_0(U_49)
| ~ l1_orders_2(U_49) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( ~ v3_struct_0(U_49)
| ~ v3_lattice3(U_49)
| v3_struct_0(U_49)
| ~ l1_orders_2(U_49) ),
inference(clausify,[status(thm)],[f_29_2]) ).
cnf(f_29_4,plain,
( v1_lattice3(U_49)
| ~ v3_lattice3(U_49)
| v3_struct_0(U_49)
| ~ l1_orders_2(U_49) ),
inference(clausify,[status(thm)],[f_29_2]) ).
cnf(f_29_5,plain,
( v2_lattice3(U_49)
| ~ v3_lattice3(U_49)
| v3_struct_0(U_49)
| ~ l1_orders_2(U_49) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [A] :
( ( v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v25_waybel_0(A)
& v24_waybel_0(A)
& v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
| ~ v25_waybel_0(A)
| ~ v24_waybel_0(A)
| ~ v2_yellow_0(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc1_yellow_2]) ).
fof(f_30_2,plain,
! [U_50] :
( ( v3_lattice3(U_50)
& v2_lattice3(U_50)
& v1_lattice3(U_50)
& v25_waybel_0(U_50)
& v24_waybel_0(U_50)
& v3_yellow_0(U_50)
& v2_yellow_0(U_50)
& v1_yellow_0(U_50)
& v4_orders_2(U_50)
& v3_orders_2(U_50)
& v2_orders_2(U_50)
& ~ v3_struct_0(U_50) )
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( ~ v3_struct_0(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_4,plain,
( v2_orders_2(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_5,plain,
( v3_orders_2(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_6,plain,
( v4_orders_2(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_7,plain,
( v1_yellow_0(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_8,plain,
( v2_yellow_0(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_9,plain,
( v3_yellow_0(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_10,plain,
( v24_waybel_0(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_11,plain,
( v25_waybel_0(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_12,plain,
( v1_lattice3(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_13,plain,
( v2_lattice3(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_14,plain,
( v3_lattice3(U_50)
| ~ v25_waybel_0(U_50)
| ~ v24_waybel_0(U_50)
| ~ v2_yellow_0(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50)
| ~ l1_orders_2(U_50) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [A] :
( ! [B] :
( ( v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) )
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc20_membered]) ).
fof(f_31_2,plain,
! [U_52] :
( ! [U_51] :
( ( v5_membered(U_51)
& v4_membered(U_51)
& v3_membered(U_51)
& v2_membered(U_51)
& v1_membered(U_51) )
| ~ m1_subset_1(U_51,k1_zfmisc_1(U_52)) )
| ~ v5_membered(U_52) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( v1_membered(U_51)
| ~ m1_subset_1(U_51,k1_zfmisc_1(U_52))
| ~ v5_membered(U_52) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( v2_membered(U_51)
| ~ m1_subset_1(U_51,k1_zfmisc_1(U_52))
| ~ v5_membered(U_52) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_5,plain,
( v3_membered(U_51)
| ~ m1_subset_1(U_51,k1_zfmisc_1(U_52))
| ~ v5_membered(U_52) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_6,plain,
( v4_membered(U_51)
| ~ m1_subset_1(U_51,k1_zfmisc_1(U_52))
| ~ v5_membered(U_52) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_7,plain,
( v5_membered(U_51)
| ~ m1_subset_1(U_51,k1_zfmisc_1(U_52))
| ~ v5_membered(U_52) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [A] :
( ! [B] :
( v1_finset_1(B)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_finset_1]) ).
fof(f_32_2,plain,
! [U_54] :
( ! [U_53] :
( v1_finset_1(U_53)
| ~ m1_subset_1(U_53,k1_zfmisc_1(U_54)) )
| ~ v1_finset_1(U_54) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( v1_finset_1(U_53)
| ~ m1_subset_1(U_53,k1_zfmisc_1(U_54))
| ~ v1_finset_1(U_54) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,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(fof_nnf,[status(thm)],[cc2_funct_1]) ).
fof(f_33_2,plain,
! [U_55] :
( ( v2_funct_1(U_55)
& v1_funct_1(U_55)
& v1_relat_1(U_55) )
| ~ v1_funct_1(U_55)
| ~ v1_xboole_0(U_55)
| ~ v1_relat_1(U_55) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( v1_relat_1(U_55)
| ~ v1_funct_1(U_55)
| ~ v1_xboole_0(U_55)
| ~ v1_relat_1(U_55) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( v1_funct_1(U_55)
| ~ v1_funct_1(U_55)
| ~ v1_xboole_0(U_55)
| ~ v1_relat_1(U_55) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_5,plain,
( v2_funct_1(U_55)
| ~ v1_funct_1(U_55)
| ~ v1_xboole_0(U_55)
| ~ v1_relat_1(U_55) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc2_lattice3]) ).
fof(f_34_2,plain,
! [U_56] :
( ~ v3_struct_0(U_56)
| ~ v2_lattice3(U_56)
| ~ l1_orders_2(U_56) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( ~ v3_struct_0(U_56)
| ~ v2_lattice3(U_56)
| ~ l1_orders_2(U_56) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
! [A] :
( v3_membered(A)
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc2_membered]) ).
fof(f_35_2,plain,
! [U_57] :
( v3_membered(U_57)
| ~ v4_membered(U_57) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( v3_membered(U_57)
| ~ v4_membered(U_57) ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
! [A] :
( ! [B] :
( ( v7_waybel34(B,A)
& v6_yellow_0(B,A) )
| ~ v6_waybel34(B,A)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v1_yellow_0(A)
| ~ v4_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc2_waybel34]) ).
fof(f_36_2,plain,
! [U_59] :
( ! [U_58] :
( ( v7_waybel34(U_58,U_59)
& v6_yellow_0(U_58,U_59) )
| ~ v6_waybel34(U_58,U_59)
| ~ m1_yellow_0(U_58,U_59) )
| ~ l1_orders_2(U_59)
| ~ v1_yellow_0(U_59)
| ~ v4_orders_2(U_59)
| v3_struct_0(U_59) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( v6_yellow_0(U_58,U_59)
| ~ v6_waybel34(U_58,U_59)
| ~ m1_yellow_0(U_58,U_59)
| ~ l1_orders_2(U_59)
| ~ v1_yellow_0(U_59)
| ~ v4_orders_2(U_59)
| v3_struct_0(U_59) ),
inference(clausify,[status(thm)],[f_36_2]) ).
cnf(f_36_4,plain,
( v7_waybel34(U_58,U_59)
| ~ v6_waybel34(U_58,U_59)
| ~ m1_yellow_0(U_58,U_59)
| ~ l1_orders_2(U_59)
| ~ v1_yellow_0(U_59)
| ~ v4_orders_2(U_59)
| v3_struct_0(U_59) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,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(fof_nnf,[status(thm)],[cc2_waybel_1]) ).
fof(f_37_2,plain,
! [U_62,U_61] :
( ! [U_60] :
( ( v22_waybel_0(U_60,U_62,U_61)
& v20_waybel_0(U_60,U_62,U_61)
& v18_waybel_0(U_60,U_62,U_61)
& v1_partfun1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
& v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
& ~ v1_xboole_0(U_60)
& v1_funct_1(U_60) )
| ~ v5_waybel_1(U_60,U_61,U_62)
| ~ v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_60,u1_struct_0(U_62),u1_struct_0(U_61)) )
| ~ l1_orders_2(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61)
| v3_struct_0(U_61)
| ~ l1_orders_2(U_62)
| ~ v4_orders_2(U_62)
| ~ v3_orders_2(U_62)
| ~ v2_orders_2(U_62)
| v3_struct_0(U_62) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( v1_funct_1(U_60)
| ~ v5_waybel_1(U_60,U_61,U_62)
| ~ v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ l1_orders_2(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61)
| v3_struct_0(U_61)
| ~ l1_orders_2(U_62)
| ~ v4_orders_2(U_62)
| ~ v3_orders_2(U_62)
| ~ v2_orders_2(U_62)
| v3_struct_0(U_62) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_4,plain,
( ~ v1_xboole_0(U_60)
| ~ v5_waybel_1(U_60,U_61,U_62)
| ~ v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ l1_orders_2(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61)
| v3_struct_0(U_61)
| ~ l1_orders_2(U_62)
| ~ v4_orders_2(U_62)
| ~ v3_orders_2(U_62)
| ~ v2_orders_2(U_62)
| v3_struct_0(U_62) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_5,plain,
( v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v5_waybel_1(U_60,U_61,U_62)
| ~ v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ l1_orders_2(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61)
| v3_struct_0(U_61)
| ~ l1_orders_2(U_62)
| ~ v4_orders_2(U_62)
| ~ v3_orders_2(U_62)
| ~ v2_orders_2(U_62)
| v3_struct_0(U_62) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_6,plain,
( v1_partfun1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v5_waybel_1(U_60,U_61,U_62)
| ~ v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ l1_orders_2(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61)
| v3_struct_0(U_61)
| ~ l1_orders_2(U_62)
| ~ v4_orders_2(U_62)
| ~ v3_orders_2(U_62)
| ~ v2_orders_2(U_62)
| v3_struct_0(U_62) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_7,plain,
( v18_waybel_0(U_60,U_62,U_61)
| ~ v5_waybel_1(U_60,U_61,U_62)
| ~ v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ l1_orders_2(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61)
| v3_struct_0(U_61)
| ~ l1_orders_2(U_62)
| ~ v4_orders_2(U_62)
| ~ v3_orders_2(U_62)
| ~ v2_orders_2(U_62)
| v3_struct_0(U_62) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_8,plain,
( v20_waybel_0(U_60,U_62,U_61)
| ~ v5_waybel_1(U_60,U_61,U_62)
| ~ v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ l1_orders_2(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61)
| v3_struct_0(U_61)
| ~ l1_orders_2(U_62)
| ~ v4_orders_2(U_62)
| ~ v3_orders_2(U_62)
| ~ v2_orders_2(U_62)
| v3_struct_0(U_62) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_9,plain,
( v22_waybel_0(U_60,U_62,U_61)
| ~ v5_waybel_1(U_60,U_61,U_62)
| ~ v1_funct_2(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ v1_funct_1(U_60)
| ~ m1_relset_1(U_60,u1_struct_0(U_62),u1_struct_0(U_61))
| ~ l1_orders_2(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61)
| v3_struct_0(U_61)
| ~ l1_orders_2(U_62)
| ~ v4_orders_2(U_62)
| ~ v3_orders_2(U_62)
| ~ v2_orders_2(U_62)
| v3_struct_0(U_62) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,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(fof_nnf,[status(thm)],[cc2_waybel_8]) ).
fof(f_38_2,plain,
! [U_63] :
( ( v1_waybel_8(U_63)
& v24_waybel_0(U_63)
& v2_orders_2(U_63)
& ~ v3_struct_0(U_63) )
| ~ v2_waybel_8(U_63)
| ~ v2_orders_2(U_63)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_63) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( ~ v3_struct_0(U_63)
| ~ v2_waybel_8(U_63)
| ~ v2_orders_2(U_63)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_63) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(f_38_4,plain,
( v2_orders_2(U_63)
| ~ v2_waybel_8(U_63)
| ~ v2_orders_2(U_63)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_63) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(f_38_5,plain,
( v24_waybel_0(U_63)
| ~ v2_waybel_8(U_63)
| ~ v2_orders_2(U_63)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_63) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(f_38_6,plain,
( v1_waybel_8(U_63)
| ~ v2_waybel_8(U_63)
| ~ v2_orders_2(U_63)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_63) ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
! [A] :
( v2_membered(A)
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc3_membered]) ).
fof(f_39_2,plain,
! [U_64] :
( v2_membered(U_64)
| ~ v3_membered(U_64) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
cnf(f_39_3,plain,
( v2_membered(U_64)
| ~ v3_membered(U_64) ),
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_1,plain,
! [A] :
( ( v3_yellow_0(A)
& ~ v3_struct_0(A) )
| ~ v3_lattice3(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc3_yellow_0]) ).
fof(f_40_2,plain,
! [U_65] :
( ( v3_yellow_0(U_65)
& ~ v3_struct_0(U_65) )
| ~ v3_lattice3(U_65)
| v3_struct_0(U_65)
| ~ l1_orders_2(U_65) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
( ~ v3_struct_0(U_65)
| ~ v3_lattice3(U_65)
| v3_struct_0(U_65)
| ~ l1_orders_2(U_65) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_4,plain,
( v3_yellow_0(U_65)
| ~ v3_lattice3(U_65)
| v3_struct_0(U_65)
| ~ l1_orders_2(U_65) ),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
! [A] :
( v1_membered(A)
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc4_membered]) ).
fof(f_41_2,plain,
! [U_66] :
( v1_membered(U_66)
| ~ v2_membered(U_66) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
( v1_membered(U_66)
| ~ v2_membered(U_66) ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
! [A] :
( ! [B] :
( ( v4_yellow_0(B,A)
& v1_yellow_0(B)
& v4_orders_2(B)
& ~ v3_struct_0(B) )
| ~ v7_waybel34(B,A)
| ~ v4_yellow_0(B,A)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v1_yellow_0(A)
| ~ v4_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc4_waybel34]) ).
fof(f_42_2,plain,
! [U_68] :
( ! [U_67] :
( ( v4_yellow_0(U_67,U_68)
& v1_yellow_0(U_67)
& v4_orders_2(U_67)
& ~ v3_struct_0(U_67) )
| ~ v7_waybel34(U_67,U_68)
| ~ v4_yellow_0(U_67,U_68)
| ~ m1_yellow_0(U_67,U_68) )
| ~ l1_orders_2(U_68)
| ~ v1_yellow_0(U_68)
| ~ v4_orders_2(U_68)
| v3_struct_0(U_68) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( ~ v3_struct_0(U_67)
| ~ v7_waybel34(U_67,U_68)
| ~ v4_yellow_0(U_67,U_68)
| ~ m1_yellow_0(U_67,U_68)
| ~ l1_orders_2(U_68)
| ~ v1_yellow_0(U_68)
| ~ v4_orders_2(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_42_2]) ).
cnf(f_42_4,plain,
( v4_orders_2(U_67)
| ~ v7_waybel34(U_67,U_68)
| ~ v4_yellow_0(U_67,U_68)
| ~ m1_yellow_0(U_67,U_68)
| ~ l1_orders_2(U_68)
| ~ v1_yellow_0(U_68)
| ~ v4_orders_2(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_42_2]) ).
cnf(f_42_5,plain,
( v1_yellow_0(U_67)
| ~ v7_waybel34(U_67,U_68)
| ~ v4_yellow_0(U_67,U_68)
| ~ m1_yellow_0(U_67,U_68)
| ~ l1_orders_2(U_68)
| ~ v1_yellow_0(U_68)
| ~ v4_orders_2(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_42_2]) ).
cnf(f_42_6,plain,
( v4_yellow_0(U_67,U_68)
| ~ v7_waybel34(U_67,U_68)
| ~ v4_yellow_0(U_67,U_68)
| ~ m1_yellow_0(U_67,U_68)
| ~ l1_orders_2(U_68)
| ~ v1_yellow_0(U_68)
| ~ v4_orders_2(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,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(fof_nnf,[status(thm)],[cc4_waybel_3]) ).
fof(f_43_2,plain,
! [U_69] :
( ( v2_waybel_3(U_69)
& v24_waybel_0(U_69)
& v2_orders_2(U_69)
& ~ v3_struct_0(U_69) )
| ~ v3_waybel_3(U_69)
| ~ v2_orders_2(U_69)
| v3_struct_0(U_69)
| ~ l1_orders_2(U_69) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
( ~ v3_struct_0(U_69)
| ~ v3_waybel_3(U_69)
| ~ v2_orders_2(U_69)
| v3_struct_0(U_69)
| ~ l1_orders_2(U_69) ),
inference(clausify,[status(thm)],[f_43_2]) ).
cnf(f_43_4,plain,
( v2_orders_2(U_69)
| ~ v3_waybel_3(U_69)
| ~ v2_orders_2(U_69)
| v3_struct_0(U_69)
| ~ l1_orders_2(U_69) ),
inference(clausify,[status(thm)],[f_43_2]) ).
cnf(f_43_5,plain,
( v24_waybel_0(U_69)
| ~ v3_waybel_3(U_69)
| ~ v2_orders_2(U_69)
| v3_struct_0(U_69)
| ~ l1_orders_2(U_69) ),
inference(clausify,[status(thm)],[f_43_2]) ).
cnf(f_43_6,plain,
( v2_waybel_3(U_69)
| ~ v3_waybel_3(U_69)
| ~ v2_orders_2(U_69)
| v3_struct_0(U_69)
| ~ l1_orders_2(U_69) ),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
! [A] :
( ( v2_yellow_0(A)
& v1_yellow_0(A) )
| ~ v3_yellow_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc4_yellow_0]) ).
fof(f_44_2,plain,
! [U_70] :
( ( v2_yellow_0(U_70)
& v1_yellow_0(U_70) )
| ~ v3_yellow_0(U_70)
| ~ l1_orders_2(U_70) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
( v1_yellow_0(U_70)
| ~ v3_yellow_0(U_70)
| ~ l1_orders_2(U_70) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_4,plain,
( v2_yellow_0(U_70)
| ~ v3_yellow_0(U_70)
| ~ l1_orders_2(U_70) ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [A] :
( ! [B] :
( ( v7_waybel34(B,A)
& v6_waybel34(B,A)
& v1_lattice3(B)
& v6_yellow_0(B,A)
& v4_yellow_0(B,A)
& v1_yellow_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B) )
| ~ v7_waybel34(B,A)
| ~ v6_yellow_0(B,A)
| ~ v4_yellow_0(B,A)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v1_lattice3(A)
| ~ v1_yellow_0(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc5_waybel34]) ).
fof(f_45_2,plain,
! [U_72] :
( ! [U_71] :
( ( v7_waybel34(U_71,U_72)
& v6_waybel34(U_71,U_72)
& v1_lattice3(U_71)
& v6_yellow_0(U_71,U_72)
& v4_yellow_0(U_71,U_72)
& v1_yellow_0(U_71)
& v4_orders_2(U_71)
& v3_orders_2(U_71)
& v2_orders_2(U_71)
& ~ v3_struct_0(U_71) )
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72) )
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
( ~ v3_struct_0(U_71)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_4,plain,
( v2_orders_2(U_71)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_5,plain,
( v3_orders_2(U_71)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_6,plain,
( v4_orders_2(U_71)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_7,plain,
( v1_yellow_0(U_71)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_8,plain,
( v4_yellow_0(U_71,U_72)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_9,plain,
( v6_yellow_0(U_71,U_72)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_10,plain,
( v1_lattice3(U_71)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_11,plain,
( v6_waybel34(U_71,U_72)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_12,plain,
( v7_waybel34(U_71,U_72)
| ~ v7_waybel34(U_71,U_72)
| ~ v6_yellow_0(U_71,U_72)
| ~ v4_yellow_0(U_71,U_72)
| ~ m1_yellow_0(U_71,U_72)
| ~ l1_orders_2(U_72)
| ~ v1_lattice3(U_72)
| ~ v1_yellow_0(U_72)
| ~ v4_orders_2(U_72)
| ~ v3_orders_2(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,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(fof_nnf,[status(thm)],[cc5_waybel_3]) ).
fof(f_46_2,plain,
! [U_73] :
( ( v3_waybel_3(U_73)
& v1_yellow_0(U_73)
& v1_lattice3(U_73)
& v4_orders_2(U_73)
& v3_orders_2(U_73)
& v2_orders_2(U_73)
& ~ v3_struct_0(U_73) )
| ~ v2_waybel_3(U_73)
| ~ v24_waybel_0(U_73)
| ~ v1_yellow_0(U_73)
| ~ v1_lattice3(U_73)
| ~ v4_orders_2(U_73)
| ~ v3_orders_2(U_73)
| ~ v2_orders_2(U_73)
| ~ l1_orders_2(U_73) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
cnf(f_46_3,plain,
( ~ v3_struct_0(U_73)
| ~ v2_waybel_3(U_73)
| ~ v24_waybel_0(U_73)
| ~ v1_yellow_0(U_73)
| ~ v1_lattice3(U_73)
| ~ v4_orders_2(U_73)
| ~ v3_orders_2(U_73)
| ~ v2_orders_2(U_73)
| ~ l1_orders_2(U_73) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_4,plain,
( v2_orders_2(U_73)
| ~ v2_waybel_3(U_73)
| ~ v24_waybel_0(U_73)
| ~ v1_yellow_0(U_73)
| ~ v1_lattice3(U_73)
| ~ v4_orders_2(U_73)
| ~ v3_orders_2(U_73)
| ~ v2_orders_2(U_73)
| ~ l1_orders_2(U_73) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_5,plain,
( v3_orders_2(U_73)
| ~ v2_waybel_3(U_73)
| ~ v24_waybel_0(U_73)
| ~ v1_yellow_0(U_73)
| ~ v1_lattice3(U_73)
| ~ v4_orders_2(U_73)
| ~ v3_orders_2(U_73)
| ~ v2_orders_2(U_73)
| ~ l1_orders_2(U_73) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_6,plain,
( v4_orders_2(U_73)
| ~ v2_waybel_3(U_73)
| ~ v24_waybel_0(U_73)
| ~ v1_yellow_0(U_73)
| ~ v1_lattice3(U_73)
| ~ v4_orders_2(U_73)
| ~ v3_orders_2(U_73)
| ~ v2_orders_2(U_73)
| ~ l1_orders_2(U_73) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_7,plain,
( v1_lattice3(U_73)
| ~ v2_waybel_3(U_73)
| ~ v24_waybel_0(U_73)
| ~ v1_yellow_0(U_73)
| ~ v1_lattice3(U_73)
| ~ v4_orders_2(U_73)
| ~ v3_orders_2(U_73)
| ~ v2_orders_2(U_73)
| ~ l1_orders_2(U_73) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_8,plain,
( v1_yellow_0(U_73)
| ~ v2_waybel_3(U_73)
| ~ v24_waybel_0(U_73)
| ~ v1_yellow_0(U_73)
| ~ v1_lattice3(U_73)
| ~ v4_orders_2(U_73)
| ~ v3_orders_2(U_73)
| ~ v2_orders_2(U_73)
| ~ l1_orders_2(U_73) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_9,plain,
( v3_waybel_3(U_73)
| ~ v2_waybel_3(U_73)
| ~ v24_waybel_0(U_73)
| ~ v1_yellow_0(U_73)
| ~ v1_lattice3(U_73)
| ~ v4_orders_2(U_73)
| ~ v3_orders_2(U_73)
| ~ v2_orders_2(U_73)
| ~ l1_orders_2(U_73) ),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
! [A] :
( v3_yellow_0(A)
| ~ v2_yellow_0(A)
| ~ v1_yellow_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc5_yellow_0]) ).
fof(f_47_2,plain,
! [U_74] :
( v3_yellow_0(U_74)
| ~ v2_yellow_0(U_74)
| ~ v1_yellow_0(U_74)
| ~ l1_orders_2(U_74) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
cnf(f_47_3,plain,
( v3_yellow_0(U_74)
| ~ v2_yellow_0(U_74)
| ~ v1_yellow_0(U_74)
| ~ l1_orders_2(U_74) ),
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,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(fof_nnf,[status(thm)],[cc6_waybel34]) ).
fof(f_48_2,plain,
! [U_77,U_76] :
( ! [U_75] :
( ( v4_waybel34(U_75,U_77,U_76)
& v1_funct_2(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
& v1_funct_1(U_75) )
| ~ v18_waybel_0(U_75,U_77,U_76)
| ~ v1_funct_2(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
| ~ v1_funct_1(U_75)
| ~ m1_relset_1(U_75,u1_struct_0(U_77),u1_struct_0(U_76)) )
| ~ l1_orders_2(U_76)
| v3_struct_0(U_76)
| ~ l1_orders_2(U_77)
| v3_struct_0(U_77) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
cnf(f_48_3,plain,
( v1_funct_1(U_75)
| ~ v18_waybel_0(U_75,U_77,U_76)
| ~ v1_funct_2(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
| ~ v1_funct_1(U_75)
| ~ m1_relset_1(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
| ~ l1_orders_2(U_76)
| v3_struct_0(U_76)
| ~ l1_orders_2(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_48_2]) ).
cnf(f_48_4,plain,
( v1_funct_2(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
| ~ v18_waybel_0(U_75,U_77,U_76)
| ~ v1_funct_2(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
| ~ v1_funct_1(U_75)
| ~ m1_relset_1(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
| ~ l1_orders_2(U_76)
| v3_struct_0(U_76)
| ~ l1_orders_2(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_48_2]) ).
cnf(f_48_5,plain,
( v4_waybel34(U_75,U_77,U_76)
| ~ v18_waybel_0(U_75,U_77,U_76)
| ~ v1_funct_2(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
| ~ v1_funct_1(U_75)
| ~ m1_relset_1(U_75,u1_struct_0(U_77),u1_struct_0(U_76))
| ~ l1_orders_2(U_76)
| v3_struct_0(U_76)
| ~ l1_orders_2(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,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(fof_nnf,[status(thm)],[cc6_waybel_0]) ).
fof(f_49_2,plain,
! [U_80,U_79] :
( ! [U_78] :
( ( v21_waybel_0(U_78,U_80,U_79)
& v19_waybel_0(U_78,U_80,U_79)
& v1_funct_2(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
& v1_funct_1(U_78) )
| ~ v17_waybel_0(U_78,U_80,U_79)
| ~ v1_funct_2(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ v1_funct_1(U_78)
| ~ m1_relset_1(U_78,u1_struct_0(U_80),u1_struct_0(U_79)) )
| ~ l1_orders_2(U_79)
| v3_struct_0(U_79)
| ~ l1_orders_2(U_80)
| v3_struct_0(U_80) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_3,plain,
( v1_funct_1(U_78)
| ~ v17_waybel_0(U_78,U_80,U_79)
| ~ v1_funct_2(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ v1_funct_1(U_78)
| ~ m1_relset_1(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ l1_orders_2(U_79)
| v3_struct_0(U_79)
| ~ l1_orders_2(U_80)
| v3_struct_0(U_80) ),
inference(clausify,[status(thm)],[f_49_2]) ).
cnf(f_49_4,plain,
( v1_funct_2(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ v17_waybel_0(U_78,U_80,U_79)
| ~ v1_funct_2(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ v1_funct_1(U_78)
| ~ m1_relset_1(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ l1_orders_2(U_79)
| v3_struct_0(U_79)
| ~ l1_orders_2(U_80)
| v3_struct_0(U_80) ),
inference(clausify,[status(thm)],[f_49_2]) ).
cnf(f_49_5,plain,
( v19_waybel_0(U_78,U_80,U_79)
| ~ v17_waybel_0(U_78,U_80,U_79)
| ~ v1_funct_2(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ v1_funct_1(U_78)
| ~ m1_relset_1(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ l1_orders_2(U_79)
| v3_struct_0(U_79)
| ~ l1_orders_2(U_80)
| v3_struct_0(U_80) ),
inference(clausify,[status(thm)],[f_49_2]) ).
cnf(f_49_6,plain,
( v21_waybel_0(U_78,U_80,U_79)
| ~ v17_waybel_0(U_78,U_80,U_79)
| ~ v1_funct_2(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ v1_funct_1(U_78)
| ~ m1_relset_1(U_78,u1_struct_0(U_80),u1_struct_0(U_79))
| ~ l1_orders_2(U_79)
| v3_struct_0(U_79)
| ~ l1_orders_2(U_80)
| v3_struct_0(U_80) ),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
! [A] :
( ! [B] :
( ( v4_yellow_0(B,A)
& v2_orders_2(B) )
| ~ v4_yellow_0(B,A)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc6_yellow_0]) ).
fof(f_50_2,plain,
! [U_82] :
( ! [U_81] :
( ( v4_yellow_0(U_81,U_82)
& v2_orders_2(U_81) )
| ~ v4_yellow_0(U_81,U_82)
| ~ m1_yellow_0(U_81,U_82) )
| ~ l1_orders_2(U_82)
| ~ v2_orders_2(U_82) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
cnf(f_50_3,plain,
( v2_orders_2(U_81)
| ~ v4_yellow_0(U_81,U_82)
| ~ m1_yellow_0(U_81,U_82)
| ~ l1_orders_2(U_82)
| ~ v2_orders_2(U_82) ),
inference(clausify,[status(thm)],[f_50_2]) ).
cnf(f_50_4,plain,
( v4_yellow_0(U_81,U_82)
| ~ v4_yellow_0(U_81,U_82)
| ~ m1_yellow_0(U_81,U_82)
| ~ l1_orders_2(U_82)
| ~ v2_orders_2(U_82) ),
inference(clausify,[status(thm)],[f_50_2]) ).
fof(f_51_1,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(fof_nnf,[status(thm)],[cc7_waybel34]) ).
fof(f_51_2,plain,
! [U_85,U_84] :
( ! [U_83] :
( ( v5_waybel34(U_83,U_85,U_84)
& v20_waybel_0(U_83,U_85,U_84)
& v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
& v1_funct_1(U_83) )
| ~ v4_waybel34(U_83,U_85,U_84)
| ~ v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v1_funct_1(U_83)
| ~ m1_relset_1(U_83,u1_struct_0(U_85),u1_struct_0(U_84)) )
| ~ l1_orders_2(U_84)
| v3_struct_0(U_84)
| ~ l1_orders_2(U_85)
| v3_struct_0(U_85) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
cnf(f_51_3,plain,
( v1_funct_1(U_83)
| ~ v4_waybel34(U_83,U_85,U_84)
| ~ v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v1_funct_1(U_83)
| ~ m1_relset_1(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ l1_orders_2(U_84)
| v3_struct_0(U_84)
| ~ l1_orders_2(U_85)
| v3_struct_0(U_85) ),
inference(clausify,[status(thm)],[f_51_2]) ).
cnf(f_51_4,plain,
( v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v4_waybel34(U_83,U_85,U_84)
| ~ v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v1_funct_1(U_83)
| ~ m1_relset_1(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ l1_orders_2(U_84)
| v3_struct_0(U_84)
| ~ l1_orders_2(U_85)
| v3_struct_0(U_85) ),
inference(clausify,[status(thm)],[f_51_2]) ).
cnf(f_51_5,plain,
( v20_waybel_0(U_83,U_85,U_84)
| ~ v4_waybel34(U_83,U_85,U_84)
| ~ v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v1_funct_1(U_83)
| ~ m1_relset_1(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ l1_orders_2(U_84)
| v3_struct_0(U_84)
| ~ l1_orders_2(U_85)
| v3_struct_0(U_85) ),
inference(clausify,[status(thm)],[f_51_2]) ).
cnf(f_51_6,plain,
( v5_waybel34(U_83,U_85,U_84)
| ~ v4_waybel34(U_83,U_85,U_84)
| ~ v1_funct_2(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ v1_funct_1(U_83)
| ~ m1_relset_1(U_83,u1_struct_0(U_85),u1_struct_0(U_84))
| ~ l1_orders_2(U_84)
| v3_struct_0(U_84)
| ~ l1_orders_2(U_85)
| v3_struct_0(U_85) ),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,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(fof_nnf,[status(thm)],[cc7_waybel_0]) ).
fof(f_52_2,plain,
! [U_88,U_87] :
( ! [U_86] :
( ( v22_waybel_0(U_86,U_88,U_87)
& v20_waybel_0(U_86,U_88,U_87)
& v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
& v1_funct_1(U_86) )
| ~ v18_waybel_0(U_86,U_88,U_87)
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87)) )
| ~ l1_orders_2(U_87)
| v3_struct_0(U_87)
| ~ l1_orders_2(U_88)
| v3_struct_0(U_88) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
cnf(f_52_3,plain,
( v1_funct_1(U_86)
| ~ v18_waybel_0(U_86,U_88,U_87)
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ l1_orders_2(U_87)
| v3_struct_0(U_87)
| ~ l1_orders_2(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_52_2]) ).
cnf(f_52_4,plain,
( v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v18_waybel_0(U_86,U_88,U_87)
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ l1_orders_2(U_87)
| v3_struct_0(U_87)
| ~ l1_orders_2(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_52_2]) ).
cnf(f_52_5,plain,
( v20_waybel_0(U_86,U_88,U_87)
| ~ v18_waybel_0(U_86,U_88,U_87)
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ l1_orders_2(U_87)
| v3_struct_0(U_87)
| ~ l1_orders_2(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_52_2]) ).
cnf(f_52_6,plain,
( v22_waybel_0(U_86,U_88,U_87)
| ~ v18_waybel_0(U_86,U_88,U_87)
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ l1_orders_2(U_87)
| v3_struct_0(U_87)
| ~ l1_orders_2(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
! [A] :
( ! [B] :
( ( v4_yellow_0(B,A)
& v3_orders_2(B) )
| ~ v4_yellow_0(B,A)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v3_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc7_yellow_0]) ).
fof(f_53_2,plain,
! [U_90] :
( ! [U_89] :
( ( v4_yellow_0(U_89,U_90)
& v3_orders_2(U_89) )
| ~ v4_yellow_0(U_89,U_90)
| ~ m1_yellow_0(U_89,U_90) )
| ~ l1_orders_2(U_90)
| ~ v3_orders_2(U_90) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
( v3_orders_2(U_89)
| ~ v4_yellow_0(U_89,U_90)
| ~ m1_yellow_0(U_89,U_90)
| ~ l1_orders_2(U_90)
| ~ v3_orders_2(U_90) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_4,plain,
( v4_yellow_0(U_89,U_90)
| ~ v4_yellow_0(U_89,U_90)
| ~ m1_yellow_0(U_89,U_90)
| ~ l1_orders_2(U_90)
| ~ v3_orders_2(U_90) ),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
! [A] :
( ! [B] :
( ( v4_yellow_0(B,A)
& v4_orders_2(B) )
| ~ v4_yellow_0(B,A)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v4_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc8_yellow_0]) ).
fof(f_54_2,plain,
! [U_92] :
( ! [U_91] :
( ( v4_yellow_0(U_91,U_92)
& v4_orders_2(U_91) )
| ~ v4_yellow_0(U_91,U_92)
| ~ m1_yellow_0(U_91,U_92) )
| ~ l1_orders_2(U_92)
| ~ v4_orders_2(U_92) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
cnf(f_54_3,plain,
( v4_orders_2(U_91)
| ~ v4_yellow_0(U_91,U_92)
| ~ m1_yellow_0(U_91,U_92)
| ~ l1_orders_2(U_92)
| ~ v4_orders_2(U_92) ),
inference(clausify,[status(thm)],[f_54_2]) ).
cnf(f_54_4,plain,
( v4_yellow_0(U_91,U_92)
| ~ v4_yellow_0(U_91,U_92)
| ~ m1_yellow_0(U_91,U_92)
| ~ l1_orders_2(U_92)
| ~ v4_orders_2(U_92) ),
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_55_1,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(fof_nnf,[status(thm)],[cc9_waybel_0]) ).
fof(f_55_2,plain,
! [U_93] :
( ( v2_yellow_0(U_93)
& v1_lattice3(U_93)
& v2_orders_2(U_93)
& ~ v3_struct_0(U_93) )
| ~ v24_waybel_0(U_93)
| ~ v1_lattice3(U_93)
| ~ v2_orders_2(U_93)
| ~ l1_orders_2(U_93) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
cnf(f_55_3,plain,
( ~ v3_struct_0(U_93)
| ~ v24_waybel_0(U_93)
| ~ v1_lattice3(U_93)
| ~ v2_orders_2(U_93)
| ~ l1_orders_2(U_93) ),
inference(clausify,[status(thm)],[f_55_2]) ).
cnf(f_55_4,plain,
( v2_orders_2(U_93)
| ~ v24_waybel_0(U_93)
| ~ v1_lattice3(U_93)
| ~ v2_orders_2(U_93)
| ~ l1_orders_2(U_93) ),
inference(clausify,[status(thm)],[f_55_2]) ).
cnf(f_55_5,plain,
( v1_lattice3(U_93)
| ~ v24_waybel_0(U_93)
| ~ v1_lattice3(U_93)
| ~ v2_orders_2(U_93)
| ~ l1_orders_2(U_93) ),
inference(clausify,[status(thm)],[f_55_2]) ).
cnf(f_55_6,plain,
( v2_yellow_0(U_93)
| ~ v24_waybel_0(U_93)
| ~ v1_lattice3(U_93)
| ~ v2_orders_2(U_93)
| ~ l1_orders_2(U_93) ),
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_56_1,plain,
! [A,B] :
( ( l1_orders_2(g1_orders_2(A,B))
& v1_orders_2(g1_orders_2(A,B)) )
| ~ m1_relset_1(B,A,A) ),
inference(fof_nnf,[status(thm)],[dt_g1_orders_2]) ).
fof(f_56_2,plain,
! [U_95,U_94] :
( ( l1_orders_2(g1_orders_2(U_95,U_94))
& v1_orders_2(g1_orders_2(U_95,U_94)) )
| ~ m1_relset_1(U_94,U_95,U_95) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
cnf(f_56_3,plain,
( v1_orders_2(g1_orders_2(U_95,U_94))
| ~ m1_relset_1(U_94,U_95,U_95) ),
inference(clausify,[status(thm)],[f_56_2]) ).
cnf(f_56_4,plain,
( l1_orders_2(g1_orders_2(U_95,U_94))
| ~ m1_relset_1(U_94,U_95,U_95) ),
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,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(fof_nnf,[status(thm)],[dt_k1_waybel34]) ).
fof(f_57_2,plain,
! [U_98,U_97,U_96] :
( ( m2_relset_1(k1_waybel34(U_98,U_97,U_96),u1_struct_0(U_97),u1_struct_0(U_98))
& v1_funct_2(k1_waybel34(U_98,U_97,U_96),u1_struct_0(U_97),u1_struct_0(U_98))
& v1_funct_1(k1_waybel34(U_98,U_97,U_96)) )
| ~ m1_relset_1(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_2(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_1(U_96)
| ~ l1_orders_2(U_97)
| ~ v2_lattice3(U_97)
| ~ v1_lattice3(U_97)
| ~ v4_orders_2(U_97)
| ~ v3_orders_2(U_97)
| ~ v2_orders_2(U_97)
| ~ l1_orders_2(U_98)
| ~ v2_lattice3(U_98)
| ~ v1_lattice3(U_98)
| ~ v4_orders_2(U_98)
| ~ v3_orders_2(U_98)
| ~ v2_orders_2(U_98) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
cnf(f_57_3,plain,
( v1_funct_1(k1_waybel34(U_98,U_97,U_96))
| ~ m1_relset_1(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_2(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_1(U_96)
| ~ l1_orders_2(U_97)
| ~ v2_lattice3(U_97)
| ~ v1_lattice3(U_97)
| ~ v4_orders_2(U_97)
| ~ v3_orders_2(U_97)
| ~ v2_orders_2(U_97)
| ~ l1_orders_2(U_98)
| ~ v2_lattice3(U_98)
| ~ v1_lattice3(U_98)
| ~ v4_orders_2(U_98)
| ~ v3_orders_2(U_98)
| ~ v2_orders_2(U_98) ),
inference(clausify,[status(thm)],[f_57_2]) ).
cnf(f_57_4,plain,
( v1_funct_2(k1_waybel34(U_98,U_97,U_96),u1_struct_0(U_97),u1_struct_0(U_98))
| ~ m1_relset_1(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_2(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_1(U_96)
| ~ l1_orders_2(U_97)
| ~ v2_lattice3(U_97)
| ~ v1_lattice3(U_97)
| ~ v4_orders_2(U_97)
| ~ v3_orders_2(U_97)
| ~ v2_orders_2(U_97)
| ~ l1_orders_2(U_98)
| ~ v2_lattice3(U_98)
| ~ v1_lattice3(U_98)
| ~ v4_orders_2(U_98)
| ~ v3_orders_2(U_98)
| ~ v2_orders_2(U_98) ),
inference(clausify,[status(thm)],[f_57_2]) ).
cnf(f_57_5,plain,
( m2_relset_1(k1_waybel34(U_98,U_97,U_96),u1_struct_0(U_97),u1_struct_0(U_98))
| ~ m1_relset_1(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_2(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_1(U_96)
| ~ l1_orders_2(U_97)
| ~ v2_lattice3(U_97)
| ~ v1_lattice3(U_97)
| ~ v4_orders_2(U_97)
| ~ v3_orders_2(U_97)
| ~ v2_orders_2(U_97)
| ~ l1_orders_2(U_98)
| ~ v2_lattice3(U_98)
| ~ v1_lattice3(U_98)
| ~ v4_orders_2(U_98)
| ~ v3_orders_2(U_98)
| ~ v2_orders_2(U_98) ),
inference(clausify,[status(thm)],[f_57_2]) ).
fof(f_58_1,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(fof_nnf,[status(thm)],[dt_k1_waybel_8]) ).
fof(f_58_2,plain,
! [U_99] :
( ( m1_yellow_0(k1_waybel_8(U_99),U_99)
& v4_yellow_0(k1_waybel_8(U_99),U_99)
& v1_orders_2(k1_waybel_8(U_99)) )
| ~ l1_orders_2(U_99)
| ~ v2_orders_2(U_99)
| v3_struct_0(U_99) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
cnf(f_58_3,plain,
( v1_orders_2(k1_waybel_8(U_99))
| ~ l1_orders_2(U_99)
| ~ v2_orders_2(U_99)
| v3_struct_0(U_99) ),
inference(clausify,[status(thm)],[f_58_2]) ).
cnf(f_58_4,plain,
( v4_yellow_0(k1_waybel_8(U_99),U_99)
| ~ l1_orders_2(U_99)
| ~ v2_orders_2(U_99)
| v3_struct_0(U_99) ),
inference(clausify,[status(thm)],[f_58_2]) ).
cnf(f_58_5,plain,
( m1_yellow_0(k1_waybel_8(U_99),U_99)
| ~ l1_orders_2(U_99)
| ~ v2_orders_2(U_99)
| v3_struct_0(U_99) ),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
cnf(f_59_2,plain,
$true,
inference(clausify,[status(thm)],[f_59_1]) ).
fof(f_60_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
cnf(f_60_2,plain,
$true,
inference(clausify,[status(thm)],[f_60_1]) ).
fof(f_61_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_zfmisc_1]) ).
cnf(f_61_2,plain,
$true,
inference(clausify,[status(thm)],[f_61_1]) ).
fof(f_62_1,plain,
! [A,B] :
( v1_relat_1(k7_relat_1(A,B))
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_relat_1]) ).
fof(f_62_2,plain,
! [U_101,U_100] :
( v1_relat_1(k7_relat_1(U_101,U_100))
| ~ v1_relat_1(U_101) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
! [U_101] :
( ! [U_100] : v1_relat_1(k7_relat_1(U_101,U_100))
| ~ v1_relat_1(U_101) ),
inference(miniscope,[status(thm)],[f_62_2]) ).
cnf(f_62_4,plain,
( v1_relat_1(k7_relat_1(U_101,U_100))
| ~ v1_relat_1(U_101) ),
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_1,plain,
! [A,B,C,D] :
( m2_relset_1(k8_relset_1(A,B,C,D),A,B)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k8_relset_1]) ).
fof(f_63_2,plain,
! [U_105,U_104,U_103,U_102] :
( m2_relset_1(k8_relset_1(U_105,U_104,U_103,U_102),U_105,U_104)
| ~ m1_relset_1(U_103,U_105,U_104) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
! [U_105,U_104,U_103] :
( ! [U_102] : m2_relset_1(k8_relset_1(U_105,U_104,U_103,U_102),U_105,U_104)
| ~ m1_relset_1(U_103,U_105,U_104) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
cnf(f_63_4,plain,
( m2_relset_1(k8_relset_1(U_105,U_104,U_103,U_102),U_105,U_104)
| ~ m1_relset_1(U_103,U_105,U_104) ),
inference(clausify,[status(thm)],[f_63_3]) ).
fof(f_64_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_orders_2]) ).
fof(f_64_2,plain,
! [U_106] :
( l1_struct_0(U_106)
| ~ l1_orders_2(U_106) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
cnf(f_64_3,plain,
( l1_struct_0(U_106)
| ~ l1_orders_2(U_106) ),
inference(clausify,[status(thm)],[f_64_2]) ).
fof(f_65_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
cnf(f_65_2,plain,
$true,
inference(clausify,[status(thm)],[f_65_1]) ).
fof(f_66_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_relset_1]) ).
cnf(f_66_2,plain,
$true,
inference(clausify,[status(thm)],[f_66_1]) ).
fof(f_67_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
cnf(f_67_2,plain,
$true,
inference(clausify,[status(thm)],[f_67_1]) ).
fof(f_68_1,plain,
! [A] :
( ! [B] :
( l1_orders_2(B)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_yellow_0]) ).
fof(f_68_2,plain,
! [U_108] :
( ! [U_107] :
( l1_orders_2(U_107)
| ~ m1_yellow_0(U_107,U_108) )
| ~ l1_orders_2(U_108) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
cnf(f_68_3,plain,
( l1_orders_2(U_107)
| ~ m1_yellow_0(U_107,U_108)
| ~ l1_orders_2(U_108) ),
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
| ~ m2_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_m2_relset_1]) ).
fof(f_69_2,plain,
! [U_111,U_110,U_109] :
( m1_subset_1(U_109,k1_zfmisc_1(k2_zfmisc_1(U_111,U_110)))
| ~ m2_relset_1(U_109,U_111,U_110) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
cnf(f_69_3,plain,
( m1_subset_1(U_109,k1_zfmisc_1(k2_zfmisc_1(U_111,U_110)))
| ~ m2_relset_1(U_109,U_111,U_110) ),
inference(clausify,[status(thm)],[f_69_2]) ).
fof(f_70_1,plain,
! [A] :
( m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A))
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_orders_2]) ).
fof(f_70_2,plain,
! [U_112] :
( m2_relset_1(u1_orders_2(U_112),u1_struct_0(U_112),u1_struct_0(U_112))
| ~ l1_orders_2(U_112) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
cnf(f_70_3,plain,
( m2_relset_1(u1_orders_2(U_112),u1_struct_0(U_112),u1_struct_0(U_112))
| ~ l1_orders_2(U_112) ),
inference(clausify,[status(thm)],[f_70_2]) ).
fof(f_71_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
cnf(f_71_2,plain,
$true,
inference(clausify,[status(thm)],[f_71_1]) ).
fof(f_72_1,plain,
? [A] : l1_orders_2(A),
inference(fof_nnf,[status(thm)],[existence_l1_orders_2]) ).
fof(f_72_2,plain,
? [U_113] : l1_orders_2(U_113),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
l1_orders_2(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_113,sK4)],[f_72_2]) ).
cnf(f_72_4,plain,
l1_orders_2(sK4),
inference(clausify,[status(thm)],[f_72_3]) ).
fof(f_73_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_73_2,plain,
? [U_114] : l1_struct_0(U_114),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
l1_struct_0(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_114,sK5)],[f_73_2]) ).
cnf(f_73_4,plain,
l1_struct_0(sK5),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_1,plain,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_relset_1]) ).
fof(f_74_2,plain,
! [U_117,U_116] :
? [U_115] : m1_relset_1(U_115,U_117,U_116),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_117,U_116] : m1_relset_1(sK6(U_117,U_116),U_117,U_116),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_115,sK6(U_117,U_116))],[f_74_2]) ).
cnf(f_74_4,plain,
m1_relset_1(sK6(U_117,U_116),U_117,U_116),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_75_2,plain,
! [U_119] :
? [U_118] : m1_subset_1(U_118,U_119),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_119] : m1_subset_1(sK7(U_119),U_119),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_118,sK7(U_119))],[f_75_2]) ).
cnf(f_75_4,plain,
m1_subset_1(sK7(U_119),U_119),
inference(clausify,[status(thm)],[f_75_3]) ).
fof(f_76_1,plain,
! [A] :
( ? [B] : m1_yellow_0(B,A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_yellow_0]) ).
fof(f_76_2,plain,
! [U_121] :
( ? [U_120] : m1_yellow_0(U_120,U_121)
| ~ l1_orders_2(U_121) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
! [U_121] :
( m1_yellow_0(sK8(U_121),U_121)
| ~ l1_orders_2(U_121) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_120,sK8(U_121))],[f_76_2]) ).
cnf(f_76_4,plain,
( m1_yellow_0(sK8(U_121),U_121)
| ~ l1_orders_2(U_121) ),
inference(clausify,[status(thm)],[f_76_3]) ).
fof(f_77_1,plain,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m2_relset_1]) ).
fof(f_77_2,plain,
! [U_124,U_123] :
? [U_122] : m2_relset_1(U_122,U_124,U_123),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
! [U_124,U_123] : m2_relset_1(sK9(U_124,U_123),U_124,U_123),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_122,sK9(U_124,U_123))],[f_77_2]) ).
cnf(f_77_4,plain,
m2_relset_1(sK9(U_124,U_123),U_124,U_123),
inference(clausify,[status(thm)],[f_77_3]) ).
fof(f_78_1,plain,
! [A] :
( ( v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) )
| ~ l1_orders_2(A)
| ~ v24_waybel_0(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc10_waybel_8]) ).
fof(f_78_2,plain,
! [U_125] :
( ( v24_waybel_0(g1_orders_2(u1_struct_0(U_125),u1_orders_2(U_125)))
& v2_orders_2(g1_orders_2(u1_struct_0(U_125),u1_orders_2(U_125)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_125),u1_orders_2(U_125)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_125),u1_orders_2(U_125))) )
| ~ l1_orders_2(U_125)
| ~ v24_waybel_0(U_125)
| ~ v2_orders_2(U_125)
| v3_struct_0(U_125) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
cnf(f_78_3,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_125),u1_orders_2(U_125)))
| ~ l1_orders_2(U_125)
| ~ v24_waybel_0(U_125)
| ~ v2_orders_2(U_125)
| v3_struct_0(U_125) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_4,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_125),u1_orders_2(U_125)))
| ~ l1_orders_2(U_125)
| ~ v24_waybel_0(U_125)
| ~ v2_orders_2(U_125)
| v3_struct_0(U_125) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_5,plain,
( v2_orders_2(g1_orders_2(u1_struct_0(U_125),u1_orders_2(U_125)))
| ~ l1_orders_2(U_125)
| ~ v24_waybel_0(U_125)
| ~ v2_orders_2(U_125)
| v3_struct_0(U_125) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_6,plain,
( v24_waybel_0(g1_orders_2(u1_struct_0(U_125),u1_orders_2(U_125)))
| ~ l1_orders_2(U_125)
| ~ v24_waybel_0(U_125)
| ~ v2_orders_2(U_125)
| v3_struct_0(U_125) ),
inference(clausify,[status(thm)],[f_78_2]) ).
fof(f_79_1,plain,
! [A] :
( ( v2_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_waybel_8(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) )
| ~ l1_orders_2(A)
| ~ v2_waybel_8(A)
| ~ v4_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc11_waybel_8]) ).
fof(f_79_2,plain,
! [U_126] :
( ( v2_waybel_8(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
& v1_waybel_8(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
& v24_waybel_0(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
& v4_orders_2(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
& v2_orders_2(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126))) )
| ~ l1_orders_2(U_126)
| ~ v2_waybel_8(U_126)
| ~ v4_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
cnf(f_79_3,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
| ~ l1_orders_2(U_126)
| ~ v2_waybel_8(U_126)
| ~ v4_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_4,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
| ~ l1_orders_2(U_126)
| ~ v2_waybel_8(U_126)
| ~ v4_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_5,plain,
( v2_orders_2(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
| ~ l1_orders_2(U_126)
| ~ v2_waybel_8(U_126)
| ~ v4_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_6,plain,
( v4_orders_2(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
| ~ l1_orders_2(U_126)
| ~ v2_waybel_8(U_126)
| ~ v4_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_7,plain,
( v24_waybel_0(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
| ~ l1_orders_2(U_126)
| ~ v2_waybel_8(U_126)
| ~ v4_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_8,plain,
( v1_waybel_8(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
| ~ l1_orders_2(U_126)
| ~ v2_waybel_8(U_126)
| ~ v4_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_9,plain,
( v2_waybel_8(g1_orders_2(u1_struct_0(U_126),u1_orders_2(U_126)))
| ~ l1_orders_2(U_126)
| ~ v2_waybel_8(U_126)
| ~ v4_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_1,plain,
! [A,B] :
( v1_finset_1(k2_zfmisc_1(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc14_finset_1]) ).
fof(f_80_2,plain,
! [U_128,U_127] :
( v1_finset_1(k2_zfmisc_1(U_128,U_127))
| ~ v1_finset_1(U_127)
| ~ v1_finset_1(U_128) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
cnf(f_80_3,plain,
( v1_finset_1(k2_zfmisc_1(U_128,U_127))
| ~ v1_finset_1(U_127)
| ~ v1_finset_1(U_128) ),
inference(clausify,[status(thm)],[f_80_2]) ).
fof(f_81_1,plain,
! [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)
| ~ v1_yellow_0(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc14_waybel34]) ).
fof(f_81_2,plain,
! [U_129] :
( ( v4_yellow_0(k1_waybel_8(U_129),U_129)
& v1_yellow_0(k1_waybel_8(U_129))
& v4_orders_2(k1_waybel_8(U_129))
& v3_orders_2(k1_waybel_8(U_129))
& v2_orders_2(k1_waybel_8(U_129))
& v1_orders_2(k1_waybel_8(U_129))
& ~ v3_struct_0(k1_waybel_8(U_129)) )
| ~ l1_orders_2(U_129)
| ~ v1_yellow_0(U_129)
| ~ v4_orders_2(U_129)
| ~ v3_orders_2(U_129)
| ~ v2_orders_2(U_129)
| v3_struct_0(U_129) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
cnf(f_81_3,plain,
( ~ v3_struct_0(k1_waybel_8(U_129))
| ~ l1_orders_2(U_129)
| ~ v1_yellow_0(U_129)
| ~ v4_orders_2(U_129)
| ~ v3_orders_2(U_129)
| ~ v2_orders_2(U_129)
| v3_struct_0(U_129) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_4,plain,
( v1_orders_2(k1_waybel_8(U_129))
| ~ l1_orders_2(U_129)
| ~ v1_yellow_0(U_129)
| ~ v4_orders_2(U_129)
| ~ v3_orders_2(U_129)
| ~ v2_orders_2(U_129)
| v3_struct_0(U_129) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_5,plain,
( v2_orders_2(k1_waybel_8(U_129))
| ~ l1_orders_2(U_129)
| ~ v1_yellow_0(U_129)
| ~ v4_orders_2(U_129)
| ~ v3_orders_2(U_129)
| ~ v2_orders_2(U_129)
| v3_struct_0(U_129) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_6,plain,
( v3_orders_2(k1_waybel_8(U_129))
| ~ l1_orders_2(U_129)
| ~ v1_yellow_0(U_129)
| ~ v4_orders_2(U_129)
| ~ v3_orders_2(U_129)
| ~ v2_orders_2(U_129)
| v3_struct_0(U_129) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_7,plain,
( v4_orders_2(k1_waybel_8(U_129))
| ~ l1_orders_2(U_129)
| ~ v1_yellow_0(U_129)
| ~ v4_orders_2(U_129)
| ~ v3_orders_2(U_129)
| ~ v2_orders_2(U_129)
| v3_struct_0(U_129) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_8,plain,
( v1_yellow_0(k1_waybel_8(U_129))
| ~ l1_orders_2(U_129)
| ~ v1_yellow_0(U_129)
| ~ v4_orders_2(U_129)
| ~ v3_orders_2(U_129)
| ~ v2_orders_2(U_129)
| v3_struct_0(U_129) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_9,plain,
( v4_yellow_0(k1_waybel_8(U_129),U_129)
| ~ l1_orders_2(U_129)
| ~ v1_yellow_0(U_129)
| ~ v4_orders_2(U_129)
| ~ v3_orders_2(U_129)
| ~ v2_orders_2(U_129)
| v3_struct_0(U_129) ),
inference(clausify,[status(thm)],[f_81_2]) ).
fof(f_82_1,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(fof_nnf,[status(thm)],[fc15_waybel34]) ).
fof(f_82_2,plain,
! [U_130] :
( ( v7_waybel34(k1_waybel_8(U_130),U_130)
& v6_waybel34(k1_waybel_8(U_130),U_130)
& v1_lattice3(k1_waybel_8(U_130))
& v6_yellow_0(k1_waybel_8(U_130),U_130)
& v4_yellow_0(k1_waybel_8(U_130),U_130)
& v1_yellow_0(k1_waybel_8(U_130))
& v4_orders_2(k1_waybel_8(U_130))
& v3_orders_2(k1_waybel_8(U_130))
& v2_orders_2(k1_waybel_8(U_130))
& v1_orders_2(k1_waybel_8(U_130))
& ~ v3_struct_0(k1_waybel_8(U_130)) )
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
cnf(f_82_3,plain,
( ~ v3_struct_0(k1_waybel_8(U_130))
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_4,plain,
( v1_orders_2(k1_waybel_8(U_130))
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_5,plain,
( v2_orders_2(k1_waybel_8(U_130))
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_6,plain,
( v3_orders_2(k1_waybel_8(U_130))
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_7,plain,
( v4_orders_2(k1_waybel_8(U_130))
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_8,plain,
( v1_yellow_0(k1_waybel_8(U_130))
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_9,plain,
( v4_yellow_0(k1_waybel_8(U_130),U_130)
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_10,plain,
( v6_yellow_0(k1_waybel_8(U_130),U_130)
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_11,plain,
( v1_lattice3(k1_waybel_8(U_130))
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_12,plain,
( v6_waybel34(k1_waybel_8(U_130),U_130)
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_13,plain,
( v7_waybel34(k1_waybel_8(U_130),U_130)
| ~ l1_orders_2(U_130)
| ~ v3_lattice3(U_130)
| ~ v2_lattice3(U_130)
| ~ v1_lattice3(U_130)
| ~ v4_orders_2(U_130)
| ~ v3_orders_2(U_130)
| ~ v2_orders_2(U_130) ),
inference(clausify,[status(thm)],[f_82_2]) ).
fof(f_83_1,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_struct_0]) ).
fof(f_83_2,plain,
! [U_131] :
( ~ v1_xboole_0(u1_struct_0(U_131))
| ~ l1_struct_0(U_131)
| v3_struct_0(U_131) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
cnf(f_83_3,plain,
( ~ v1_xboole_0(u1_struct_0(U_131))
| ~ l1_struct_0(U_131)
| v3_struct_0(U_131) ),
inference(clausify,[status(thm)],[f_83_2]) ).
fof(f_84_1,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(fof_nnf,[status(thm)],[fc1_waybel34]) ).
fof(f_84_2,plain,
! [U_134,U_133,U_132] :
( ( v5_orders_3(k1_waybel34(U_134,U_133,U_132),U_133,U_134)
& v5_waybel_1(k1_waybel34(U_134,U_133,U_132),U_134,U_133)
& v22_waybel_0(k1_waybel34(U_134,U_133,U_132),U_133,U_134)
& v20_waybel_0(k1_waybel34(U_134,U_133,U_132),U_133,U_134)
& v18_waybel_0(k1_waybel34(U_134,U_133,U_132),U_133,U_134)
& v1_partfun1(k1_waybel34(U_134,U_133,U_132),u1_struct_0(U_133),u1_struct_0(U_134))
& v1_funct_2(k1_waybel34(U_134,U_133,U_132),u1_struct_0(U_133),u1_struct_0(U_134))
& ~ v1_xboole_0(k1_waybel34(U_134,U_133,U_132))
& v1_funct_1(k1_waybel34(U_134,U_133,U_132))
& v1_relat_1(k1_waybel34(U_134,U_133,U_132)) )
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
cnf(f_84_3,plain,
( v1_relat_1(k1_waybel34(U_134,U_133,U_132))
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_4,plain,
( v1_funct_1(k1_waybel34(U_134,U_133,U_132))
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_5,plain,
( ~ v1_xboole_0(k1_waybel34(U_134,U_133,U_132))
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_6,plain,
( v1_funct_2(k1_waybel34(U_134,U_133,U_132),u1_struct_0(U_133),u1_struct_0(U_134))
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_7,plain,
( v1_partfun1(k1_waybel34(U_134,U_133,U_132),u1_struct_0(U_133),u1_struct_0(U_134))
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_8,plain,
( v18_waybel_0(k1_waybel34(U_134,U_133,U_132),U_133,U_134)
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_9,plain,
( v20_waybel_0(k1_waybel34(U_134,U_133,U_132),U_133,U_134)
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_10,plain,
( v22_waybel_0(k1_waybel34(U_134,U_133,U_132),U_133,U_134)
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_11,plain,
( v5_waybel_1(k1_waybel34(U_134,U_133,U_132),U_134,U_133)
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_12,plain,
( v5_orders_3(k1_waybel34(U_134,U_133,U_132),U_133,U_134)
| ~ m1_relset_1(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v17_waybel_0(U_132,U_134,U_133)
| ~ v1_funct_2(U_132,u1_struct_0(U_134),u1_struct_0(U_133))
| ~ v1_funct_1(U_132)
| ~ l1_orders_2(U_133)
| ~ v3_lattice3(U_133)
| ~ v2_lattice3(U_133)
| ~ v1_lattice3(U_133)
| ~ v4_orders_2(U_133)
| ~ v3_orders_2(U_133)
| ~ v2_orders_2(U_133)
| ~ l1_orders_2(U_134)
| ~ v3_lattice3(U_134)
| ~ v2_lattice3(U_134)
| ~ v1_lattice3(U_134)
| ~ v4_orders_2(U_134)
| ~ v3_orders_2(U_134)
| ~ v2_orders_2(U_134) ),
inference(clausify,[status(thm)],[f_84_2]) ).
fof(f_85_1,plain,
! [A] :
( ( v4_yellow_0(k1_waybel_8(A),A)
& v4_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)
| ~ v1_yellow_0(A)
| ~ v4_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_waybel_8]) ).
fof(f_85_2,plain,
! [U_135] :
( ( v4_yellow_0(k1_waybel_8(U_135),U_135)
& v4_orders_2(k1_waybel_8(U_135))
& v2_orders_2(k1_waybel_8(U_135))
& v1_orders_2(k1_waybel_8(U_135))
& ~ v3_struct_0(k1_waybel_8(U_135)) )
| ~ l1_orders_2(U_135)
| ~ v1_yellow_0(U_135)
| ~ v4_orders_2(U_135)
| ~ v2_orders_2(U_135)
| v3_struct_0(U_135) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
cnf(f_85_3,plain,
( ~ v3_struct_0(k1_waybel_8(U_135))
| ~ l1_orders_2(U_135)
| ~ v1_yellow_0(U_135)
| ~ v4_orders_2(U_135)
| ~ v2_orders_2(U_135)
| v3_struct_0(U_135) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_4,plain,
( v1_orders_2(k1_waybel_8(U_135))
| ~ l1_orders_2(U_135)
| ~ v1_yellow_0(U_135)
| ~ v4_orders_2(U_135)
| ~ v2_orders_2(U_135)
| v3_struct_0(U_135) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_5,plain,
( v2_orders_2(k1_waybel_8(U_135))
| ~ l1_orders_2(U_135)
| ~ v1_yellow_0(U_135)
| ~ v4_orders_2(U_135)
| ~ v2_orders_2(U_135)
| v3_struct_0(U_135) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_6,plain,
( v4_orders_2(k1_waybel_8(U_135))
| ~ l1_orders_2(U_135)
| ~ v1_yellow_0(U_135)
| ~ v4_orders_2(U_135)
| ~ v2_orders_2(U_135)
| v3_struct_0(U_135) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_7,plain,
( v4_yellow_0(k1_waybel_8(U_135),U_135)
| ~ l1_orders_2(U_135)
| ~ v1_yellow_0(U_135)
| ~ v4_orders_2(U_135)
| ~ v2_orders_2(U_135)
| v3_struct_0(U_135) ),
inference(clausify,[status(thm)],[f_85_2]) ).
fof(f_86_1,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(fof_nnf,[status(thm)],[fc3_waybel_8]) ).
fof(f_86_2,plain,
! [U_136] :
( ( v6_yellow_0(k1_waybel_8(U_136),U_136)
& v4_yellow_0(k1_waybel_8(U_136),U_136)
& v4_orders_2(k1_waybel_8(U_136))
& v3_orders_2(k1_waybel_8(U_136))
& v2_orders_2(k1_waybel_8(U_136))
& v1_orders_2(k1_waybel_8(U_136)) )
| ~ l1_orders_2(U_136)
| ~ v1_lattice3(U_136)
| ~ v4_orders_2(U_136)
| ~ v3_orders_2(U_136)
| ~ v2_orders_2(U_136)
| v3_struct_0(U_136) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
cnf(f_86_3,plain,
( v1_orders_2(k1_waybel_8(U_136))
| ~ l1_orders_2(U_136)
| ~ v1_lattice3(U_136)
| ~ v4_orders_2(U_136)
| ~ v3_orders_2(U_136)
| ~ v2_orders_2(U_136)
| v3_struct_0(U_136) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_4,plain,
( v2_orders_2(k1_waybel_8(U_136))
| ~ l1_orders_2(U_136)
| ~ v1_lattice3(U_136)
| ~ v4_orders_2(U_136)
| ~ v3_orders_2(U_136)
| ~ v2_orders_2(U_136)
| v3_struct_0(U_136) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_5,plain,
( v3_orders_2(k1_waybel_8(U_136))
| ~ l1_orders_2(U_136)
| ~ v1_lattice3(U_136)
| ~ v4_orders_2(U_136)
| ~ v3_orders_2(U_136)
| ~ v2_orders_2(U_136)
| v3_struct_0(U_136) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_6,plain,
( v4_orders_2(k1_waybel_8(U_136))
| ~ l1_orders_2(U_136)
| ~ v1_lattice3(U_136)
| ~ v4_orders_2(U_136)
| ~ v3_orders_2(U_136)
| ~ v2_orders_2(U_136)
| v3_struct_0(U_136) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_7,plain,
( v4_yellow_0(k1_waybel_8(U_136),U_136)
| ~ l1_orders_2(U_136)
| ~ v1_lattice3(U_136)
| ~ v4_orders_2(U_136)
| ~ v3_orders_2(U_136)
| ~ v2_orders_2(U_136)
| v3_struct_0(U_136) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_8,plain,
( v6_yellow_0(k1_waybel_8(U_136),U_136)
| ~ l1_orders_2(U_136)
| ~ v1_lattice3(U_136)
| ~ v4_orders_2(U_136)
| ~ v3_orders_2(U_136)
| ~ v2_orders_2(U_136)
| v3_struct_0(U_136) ),
inference(clausify,[status(thm)],[f_86_2]) ).
fof(f_87_1,plain,
! [A,B] :
( ( v1_funct_1(k7_relat_1(A,B))
& v1_relat_1(k7_relat_1(A,B)) )
| ~ v1_funct_1(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[fc4_funct_1]) ).
fof(f_87_2,plain,
! [U_138,U_137] :
( ( v1_funct_1(k7_relat_1(U_138,U_137))
& v1_relat_1(k7_relat_1(U_138,U_137)) )
| ~ v1_funct_1(U_138)
| ~ v1_relat_1(U_138) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
! [U_138] :
( ( ! [U_140] : v1_funct_1(k7_relat_1(U_138,U_140))
& ! [U_139] : v1_relat_1(k7_relat_1(U_138,U_139)) )
| ~ v1_funct_1(U_138)
| ~ v1_relat_1(U_138) ),
inference(miniscope,[status(thm)],[f_87_2]) ).
cnf(f_87_4,plain,
( v1_relat_1(k7_relat_1(U_138,U_139))
| ~ v1_funct_1(U_138)
| ~ v1_relat_1(U_138) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_5,plain,
( v1_funct_1(k7_relat_1(U_138,U_140))
| ~ v1_funct_1(U_138)
| ~ v1_relat_1(U_138) ),
inference(clausify,[status(thm)],[f_87_3]) ).
fof(f_88_1,plain,
! [A] :
( ( v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_waybel_8]) ).
fof(f_88_2,plain,
! [U_141] :
( ( v1_orders_2(g1_orders_2(u1_struct_0(U_141),u1_orders_2(U_141)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_141),u1_orders_2(U_141))) )
| ~ l1_orders_2(U_141)
| v3_struct_0(U_141) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
cnf(f_88_3,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_141),u1_orders_2(U_141)))
| ~ l1_orders_2(U_141)
| v3_struct_0(U_141) ),
inference(clausify,[status(thm)],[f_88_2]) ).
cnf(f_88_4,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_141),u1_orders_2(U_141)))
| ~ l1_orders_2(U_141)
| v3_struct_0(U_141) ),
inference(clausify,[status(thm)],[f_88_2]) ).
fof(f_89_1,plain,
! [A] :
( ( v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc5_waybel_8]) ).
fof(f_89_2,plain,
! [U_142] :
( ( v2_orders_2(g1_orders_2(u1_struct_0(U_142),u1_orders_2(U_142)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_142),u1_orders_2(U_142)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_142),u1_orders_2(U_142))) )
| ~ l1_orders_2(U_142)
| ~ v2_orders_2(U_142)
| v3_struct_0(U_142) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
cnf(f_89_3,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_142),u1_orders_2(U_142)))
| ~ l1_orders_2(U_142)
| ~ v2_orders_2(U_142)
| v3_struct_0(U_142) ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_4,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_142),u1_orders_2(U_142)))
| ~ l1_orders_2(U_142)
| ~ v2_orders_2(U_142)
| v3_struct_0(U_142) ),
inference(clausify,[status(thm)],[f_89_2]) ).
cnf(f_89_5,plain,
( v2_orders_2(g1_orders_2(u1_struct_0(U_142),u1_orders_2(U_142)))
| ~ l1_orders_2(U_142)
| ~ v2_orders_2(U_142)
| v3_struct_0(U_142) ),
inference(clausify,[status(thm)],[f_89_2]) ).
fof(f_90_1,plain,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc6_membered]) ).
cnf(f_90_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_90_1]) ).
cnf(f_90_3,plain,
v1_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_90_1]) ).
cnf(f_90_4,plain,
v2_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_90_1]) ).
cnf(f_90_5,plain,
v3_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_90_1]) ).
cnf(f_90_6,plain,
v4_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_90_1]) ).
cnf(f_90_7,plain,
v5_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_90_1]) ).
fof(f_91_1,plain,
! [A] :
( ( v3_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) )
| ~ l1_orders_2(A)
| ~ v3_orders_2(A) ),
inference(fof_nnf,[status(thm)],[fc6_waybel_8]) ).
fof(f_91_2,plain,
! [U_143] :
( ( v3_orders_2(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143))) )
| ~ l1_orders_2(U_143)
| ~ v3_orders_2(U_143) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
cnf(f_91_3,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ l1_orders_2(U_143)
| ~ v3_orders_2(U_143) ),
inference(clausify,[status(thm)],[f_91_2]) ).
cnf(f_91_4,plain,
( v3_orders_2(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ l1_orders_2(U_143)
| ~ v3_orders_2(U_143) ),
inference(clausify,[status(thm)],[f_91_2]) ).
fof(f_92_1,plain,
! [A] :
( ( v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) )
| ~ l1_orders_2(A)
| ~ v4_orders_2(A) ),
inference(fof_nnf,[status(thm)],[fc7_waybel_8]) ).
fof(f_92_2,plain,
! [U_144] :
( ( v4_orders_2(g1_orders_2(u1_struct_0(U_144),u1_orders_2(U_144)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_144),u1_orders_2(U_144))) )
| ~ l1_orders_2(U_144)
| ~ v4_orders_2(U_144) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
cnf(f_92_3,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_144),u1_orders_2(U_144)))
| ~ l1_orders_2(U_144)
| ~ v4_orders_2(U_144) ),
inference(clausify,[status(thm)],[f_92_2]) ).
cnf(f_92_4,plain,
( v4_orders_2(g1_orders_2(u1_struct_0(U_144),u1_orders_2(U_144)))
| ~ l1_orders_2(U_144)
| ~ v4_orders_2(U_144) ),
inference(clausify,[status(thm)],[f_92_2]) ).
fof(f_93_1,plain,
! [A] :
( ( v2_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) )
| ~ l1_orders_2(A)
| ~ v2_lattice3(A) ),
inference(fof_nnf,[status(thm)],[fc8_waybel_8]) ).
fof(f_93_2,plain,
! [U_145] :
( ( v2_lattice3(g1_orders_2(u1_struct_0(U_145),u1_orders_2(U_145)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_145),u1_orders_2(U_145)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_145),u1_orders_2(U_145))) )
| ~ l1_orders_2(U_145)
| ~ v2_lattice3(U_145) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
cnf(f_93_3,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_145),u1_orders_2(U_145)))
| ~ l1_orders_2(U_145)
| ~ v2_lattice3(U_145) ),
inference(clausify,[status(thm)],[f_93_2]) ).
cnf(f_93_4,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_145),u1_orders_2(U_145)))
| ~ l1_orders_2(U_145)
| ~ v2_lattice3(U_145) ),
inference(clausify,[status(thm)],[f_93_2]) ).
cnf(f_93_5,plain,
( v2_lattice3(g1_orders_2(u1_struct_0(U_145),u1_orders_2(U_145)))
| ~ l1_orders_2(U_145)
| ~ v2_lattice3(U_145) ),
inference(clausify,[status(thm)],[f_93_2]) ).
fof(f_94_1,plain,
! [A] :
( ( v1_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) )
| ~ l1_orders_2(A)
| ~ v1_lattice3(A) ),
inference(fof_nnf,[status(thm)],[fc9_waybel_8]) ).
fof(f_94_2,plain,
! [U_146] :
( ( v1_lattice3(g1_orders_2(u1_struct_0(U_146),u1_orders_2(U_146)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_146),u1_orders_2(U_146)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_146),u1_orders_2(U_146))) )
| ~ l1_orders_2(U_146)
| ~ v1_lattice3(U_146) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
cnf(f_94_3,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_146),u1_orders_2(U_146)))
| ~ l1_orders_2(U_146)
| ~ v1_lattice3(U_146) ),
inference(clausify,[status(thm)],[f_94_2]) ).
cnf(f_94_4,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_146),u1_orders_2(U_146)))
| ~ l1_orders_2(U_146)
| ~ v1_lattice3(U_146) ),
inference(clausify,[status(thm)],[f_94_2]) ).
cnf(f_94_5,plain,
( v1_lattice3(g1_orders_2(u1_struct_0(U_146),u1_orders_2(U_146)))
| ~ l1_orders_2(U_146)
| ~ v1_lattice3(U_146) ),
inference(clausify,[status(thm)],[f_94_2]) ).
fof(f_95_1,plain,
! [A,B] :
( ! [C,D] :
( ( B = D
& A = C )
| g1_orders_2(A,B) != g1_orders_2(C,D) )
| ~ m1_relset_1(B,A,A) ),
inference(fof_nnf,[status(thm)],[free_g1_orders_2]) ).
fof(f_95_2,plain,
! [U_150,U_149] :
( ! [U_148,U_147] :
( ( U_149 = U_147
& U_150 = U_148 )
| g1_orders_2(U_150,U_149) != g1_orders_2(U_148,U_147) )
| ~ m1_relset_1(U_149,U_150,U_150) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
cnf(f_95_3,plain,
( U_150 = U_148
| g1_orders_2(U_150,U_149) != g1_orders_2(U_148,U_147)
| ~ m1_relset_1(U_149,U_150,U_150) ),
inference(clausify,[status(thm)],[f_95_2]) ).
cnf(f_95_4,plain,
( U_149 = U_147
| g1_orders_2(U_150,U_149) != g1_orders_2(U_148,U_147)
| ~ m1_relset_1(U_149,U_150,U_150) ),
inference(clausify,[status(thm)],[f_95_2]) ).
fof(f_96_1,plain,
? [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) ),
inference(fof_nnf,[status(thm)],[rc13_waybel_0]) ).
fof(f_96_2,plain,
? [U_151] :
( v25_waybel_0(U_151)
& v24_waybel_0(U_151)
& v3_yellow_0(U_151)
& v2_yellow_0(U_151)
& v1_yellow_0(U_151)
& v3_lattice3(U_151)
& v2_lattice3(U_151)
& v1_lattice3(U_151)
& v4_orders_2(U_151)
& v3_orders_2(U_151)
& v2_orders_2(U_151)
& v1_orders_2(U_151)
& ~ v3_struct_0(U_151)
& l1_orders_2(U_151) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
( v25_waybel_0(sK10)
& v24_waybel_0(sK10)
& v3_yellow_0(sK10)
& v2_yellow_0(sK10)
& v1_yellow_0(sK10)
& v3_lattice3(sK10)
& v2_lattice3(sK10)
& v1_lattice3(sK10)
& v4_orders_2(sK10)
& v3_orders_2(sK10)
& v2_orders_2(sK10)
& v1_orders_2(sK10)
& ~ v3_struct_0(sK10)
& l1_orders_2(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_151,sK10)],[f_96_2]) ).
cnf(f_96_4,plain,
l1_orders_2(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_5,plain,
~ v3_struct_0(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_6,plain,
v1_orders_2(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_7,plain,
v2_orders_2(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_8,plain,
v3_orders_2(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_9,plain,
v4_orders_2(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_10,plain,
v1_lattice3(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_11,plain,
v2_lattice3(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_12,plain,
v3_lattice3(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_13,plain,
v1_yellow_0(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_14,plain,
v2_yellow_0(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_15,plain,
v3_yellow_0(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_16,plain,
v24_waybel_0(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_17,plain,
v25_waybel_0(sK10),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_finset_1]) ).
fof(f_97_2,plain,
? [U_152] :
( v1_finset_1(U_152)
& ~ v1_xboole_0(U_152) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
( v1_finset_1(sK11)
& ~ v1_xboole_0(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_152,sK11)],[f_97_2]) ).
cnf(f_97_4,plain,
~ v1_xboole_0(sK11),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_5,plain,
v1_finset_1(sK11),
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_1,plain,
? [A] :
( v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_funct_1]) ).
fof(f_98_2,plain,
? [U_153] :
( v1_funct_1(U_153)
& v1_relat_1(U_153) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
( v1_funct_1(sK12)
& v1_relat_1(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_153,sK12)],[f_98_2]) ).
cnf(f_98_4,plain,
v1_relat_1(sK12),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_5,plain,
v1_funct_1(sK12),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
? [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) ),
inference(fof_nnf,[status(thm)],[rc1_lattice3]) ).
fof(f_99_2,plain,
? [U_154] :
( v3_lattice3(U_154)
& v4_orders_2(U_154)
& v3_orders_2(U_154)
& v2_orders_2(U_154)
& v1_orders_2(U_154)
& ~ v3_struct_0(U_154)
& l1_orders_2(U_154) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
( v3_lattice3(sK13)
& v4_orders_2(sK13)
& v3_orders_2(sK13)
& v2_orders_2(sK13)
& v1_orders_2(sK13)
& ~ v3_struct_0(sK13)
& l1_orders_2(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_154,sK13)],[f_99_2]) ).
cnf(f_99_4,plain,
l1_orders_2(sK13),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_5,plain,
~ v3_struct_0(sK13),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_6,plain,
v1_orders_2(sK13),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_7,plain,
v2_orders_2(sK13),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_8,plain,
v3_orders_2(sK13),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_9,plain,
v4_orders_2(sK13),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_10,plain,
v3_lattice3(sK13),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [A,B] :
( ? [C] :
( v20_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)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ 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(fof_nnf,[status(thm)],[rc1_lattice5]) ).
fof(f_100_2,plain,
! [U_157,U_156] :
( ? [U_155] :
( v20_waybel_0(U_155,U_157,U_156)
& v19_waybel_0(U_155,U_157,U_156)
& v1_funct_2(U_155,u1_struct_0(U_157),u1_struct_0(U_156))
& v1_funct_1(U_155)
& v1_relat_1(U_155)
& m1_relset_1(U_155,u1_struct_0(U_157),u1_struct_0(U_156)) )
| ~ l1_orders_2(U_156)
| ~ v2_lattice3(U_156)
| ~ v1_lattice3(U_156)
| ~ v4_orders_2(U_156)
| ~ v3_orders_2(U_156)
| ~ v2_orders_2(U_156)
| ~ l1_orders_2(U_157)
| ~ v2_lattice3(U_157)
| ~ v1_lattice3(U_157)
| ~ v4_orders_2(U_157)
| ~ v3_orders_2(U_157)
| ~ v2_orders_2(U_157) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
! [U_157,U_156] :
( ( v20_waybel_0(sK14(U_157,U_156),U_157,U_156)
& v19_waybel_0(sK14(U_157,U_156),U_157,U_156)
& v1_funct_2(sK14(U_157,U_156),u1_struct_0(U_157),u1_struct_0(U_156))
& v1_funct_1(sK14(U_157,U_156))
& v1_relat_1(sK14(U_157,U_156))
& m1_relset_1(sK14(U_157,U_156),u1_struct_0(U_157),u1_struct_0(U_156)) )
| ~ l1_orders_2(U_156)
| ~ v2_lattice3(U_156)
| ~ v1_lattice3(U_156)
| ~ v4_orders_2(U_156)
| ~ v3_orders_2(U_156)
| ~ v2_orders_2(U_156)
| ~ l1_orders_2(U_157)
| ~ v2_lattice3(U_157)
| ~ v1_lattice3(U_157)
| ~ v4_orders_2(U_157)
| ~ v3_orders_2(U_157)
| ~ v2_orders_2(U_157) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_155,sK14(U_157,U_156))],[f_100_2]) ).
cnf(f_100_4,plain,
( m1_relset_1(sK14(U_157,U_156),u1_struct_0(U_157),u1_struct_0(U_156))
| ~ l1_orders_2(U_156)
| ~ v2_lattice3(U_156)
| ~ v1_lattice3(U_156)
| ~ v4_orders_2(U_156)
| ~ v3_orders_2(U_156)
| ~ v2_orders_2(U_156)
| ~ l1_orders_2(U_157)
| ~ v2_lattice3(U_157)
| ~ v1_lattice3(U_157)
| ~ v4_orders_2(U_157)
| ~ v3_orders_2(U_157)
| ~ v2_orders_2(U_157) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_5,plain,
( v1_relat_1(sK14(U_157,U_156))
| ~ l1_orders_2(U_156)
| ~ v2_lattice3(U_156)
| ~ v1_lattice3(U_156)
| ~ v4_orders_2(U_156)
| ~ v3_orders_2(U_156)
| ~ v2_orders_2(U_156)
| ~ l1_orders_2(U_157)
| ~ v2_lattice3(U_157)
| ~ v1_lattice3(U_157)
| ~ v4_orders_2(U_157)
| ~ v3_orders_2(U_157)
| ~ v2_orders_2(U_157) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_6,plain,
( v1_funct_1(sK14(U_157,U_156))
| ~ l1_orders_2(U_156)
| ~ v2_lattice3(U_156)
| ~ v1_lattice3(U_156)
| ~ v4_orders_2(U_156)
| ~ v3_orders_2(U_156)
| ~ v2_orders_2(U_156)
| ~ l1_orders_2(U_157)
| ~ v2_lattice3(U_157)
| ~ v1_lattice3(U_157)
| ~ v4_orders_2(U_157)
| ~ v3_orders_2(U_157)
| ~ v2_orders_2(U_157) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_7,plain,
( v1_funct_2(sK14(U_157,U_156),u1_struct_0(U_157),u1_struct_0(U_156))
| ~ l1_orders_2(U_156)
| ~ v2_lattice3(U_156)
| ~ v1_lattice3(U_156)
| ~ v4_orders_2(U_156)
| ~ v3_orders_2(U_156)
| ~ v2_orders_2(U_156)
| ~ l1_orders_2(U_157)
| ~ v2_lattice3(U_157)
| ~ v1_lattice3(U_157)
| ~ v4_orders_2(U_157)
| ~ v3_orders_2(U_157)
| ~ v2_orders_2(U_157) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_8,plain,
( v19_waybel_0(sK14(U_157,U_156),U_157,U_156)
| ~ l1_orders_2(U_156)
| ~ v2_lattice3(U_156)
| ~ v1_lattice3(U_156)
| ~ v4_orders_2(U_156)
| ~ v3_orders_2(U_156)
| ~ v2_orders_2(U_156)
| ~ l1_orders_2(U_157)
| ~ v2_lattice3(U_157)
| ~ v1_lattice3(U_157)
| ~ v4_orders_2(U_157)
| ~ v3_orders_2(U_157)
| ~ v2_orders_2(U_157) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_9,plain,
( v20_waybel_0(sK14(U_157,U_156),U_157,U_156)
| ~ l1_orders_2(U_156)
| ~ v2_lattice3(U_156)
| ~ v1_lattice3(U_156)
| ~ v4_orders_2(U_156)
| ~ v3_orders_2(U_156)
| ~ v2_orders_2(U_156)
| ~ l1_orders_2(U_157)
| ~ v2_lattice3(U_157)
| ~ v1_lattice3(U_157)
| ~ v4_orders_2(U_157)
| ~ v3_orders_2(U_157)
| ~ v2_orders_2(U_157) ),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
? [A] :
( v5_membered(A)
& v4_membered(A)
& v3_membered(A)
& v2_membered(A)
& v1_membered(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_membered]) ).
fof(f_101_2,plain,
? [U_158] :
( v5_membered(U_158)
& v4_membered(U_158)
& v3_membered(U_158)
& v2_membered(U_158)
& v1_membered(U_158)
& ~ v1_xboole_0(U_158) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
( v5_membered(sK15)
& v4_membered(sK15)
& v3_membered(sK15)
& v2_membered(sK15)
& v1_membered(sK15)
& ~ v1_xboole_0(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_158,sK15)],[f_101_2]) ).
cnf(f_101_4,plain,
~ v1_xboole_0(sK15),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_5,plain,
v1_membered(sK15),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_6,plain,
v2_membered(sK15),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_7,plain,
v3_membered(sK15),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_8,plain,
v4_membered(sK15),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_9,plain,
v5_membered(sK15),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [A,B] :
( ? [C] :
( v5_orders_3(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_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[rc1_waybel10]) ).
fof(f_102_2,plain,
! [U_161,U_160] :
( ? [U_159] :
( v5_orders_3(U_159,U_161,U_160)
& v1_partfun1(U_159,u1_struct_0(U_161),u1_struct_0(U_160))
& v1_funct_2(U_159,u1_struct_0(U_161),u1_struct_0(U_160))
& v1_funct_1(U_159)
& v1_relat_1(U_159)
& m1_relset_1(U_159,u1_struct_0(U_161),u1_struct_0(U_160)) )
| ~ l1_orders_2(U_160)
| ~ v2_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
! [U_161,U_160] :
( ( v5_orders_3(sK16(U_161,U_160),U_161,U_160)
& v1_partfun1(sK16(U_161,U_160),u1_struct_0(U_161),u1_struct_0(U_160))
& v1_funct_2(sK16(U_161,U_160),u1_struct_0(U_161),u1_struct_0(U_160))
& v1_funct_1(sK16(U_161,U_160))
& v1_relat_1(sK16(U_161,U_160))
& m1_relset_1(sK16(U_161,U_160),u1_struct_0(U_161),u1_struct_0(U_160)) )
| ~ l1_orders_2(U_160)
| ~ v2_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_159,sK16(U_161,U_160))],[f_102_2]) ).
cnf(f_102_4,plain,
( m1_relset_1(sK16(U_161,U_160),u1_struct_0(U_161),u1_struct_0(U_160))
| ~ l1_orders_2(U_160)
| ~ v2_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_5,plain,
( v1_relat_1(sK16(U_161,U_160))
| ~ l1_orders_2(U_160)
| ~ v2_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_6,plain,
( v1_funct_1(sK16(U_161,U_160))
| ~ l1_orders_2(U_160)
| ~ v2_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_7,plain,
( v1_funct_2(sK16(U_161,U_160),u1_struct_0(U_161),u1_struct_0(U_160))
| ~ l1_orders_2(U_160)
| ~ v2_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_8,plain,
( v1_partfun1(sK16(U_161,U_160),u1_struct_0(U_161),u1_struct_0(U_160))
| ~ l1_orders_2(U_160)
| ~ v2_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_9,plain,
( v5_orders_3(sK16(U_161,U_160),U_161,U_160)
| ~ l1_orders_2(U_160)
| ~ v2_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161) ),
inference(clausify,[status(thm)],[f_102_3]) ).
fof(f_103_1,plain,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_funct_1]) ).
fof(f_103_2,plain,
? [U_162] :
( v1_funct_1(U_162)
& v1_xboole_0(U_162)
& v1_relat_1(U_162) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
( v1_funct_1(sK17)
& v1_xboole_0(sK17)
& v1_relat_1(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_162,sK17)],[f_103_2]) ).
cnf(f_103_4,plain,
v1_relat_1(sK17),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_5,plain,
v1_xboole_0(sK17),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_6,plain,
v1_funct_1(sK17),
inference(clausify,[status(thm)],[f_103_3]) ).
fof(f_104_1,plain,
? [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) ),
inference(fof_nnf,[status(thm)],[rc2_lattice3]) ).
fof(f_104_2,plain,
? [U_163] :
( v3_lattice3(U_163)
& v2_lattice3(U_163)
& v1_lattice3(U_163)
& v4_orders_2(U_163)
& v3_orders_2(U_163)
& v2_orders_2(U_163)
& v1_orders_2(U_163)
& ~ v3_struct_0(U_163)
& l1_orders_2(U_163) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
( v3_lattice3(sK18)
& v2_lattice3(sK18)
& v1_lattice3(sK18)
& v4_orders_2(sK18)
& v3_orders_2(sK18)
& v2_orders_2(sK18)
& v1_orders_2(sK18)
& ~ v3_struct_0(sK18)
& l1_orders_2(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_163,sK18)],[f_104_2]) ).
cnf(f_104_4,plain,
l1_orders_2(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_5,plain,
~ v3_struct_0(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_6,plain,
v1_orders_2(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_7,plain,
v2_orders_2(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_8,plain,
v3_orders_2(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_9,plain,
v4_orders_2(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_10,plain,
v1_lattice3(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_11,plain,
v2_lattice3(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_12,plain,
v3_lattice3(sK18),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [A,B] :
( ? [C] :
( v22_waybel_0(C,A,B)
& v21_waybel_0(C,A,B)
& v19_waybel_0(C,A,B)
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v2_yellow_0(B)
| ~ v4_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc2_waybel34]) ).
fof(f_105_2,plain,
! [U_166,U_165] :
( ? [U_164] :
( v22_waybel_0(U_164,U_166,U_165)
& v21_waybel_0(U_164,U_166,U_165)
& v19_waybel_0(U_164,U_166,U_165)
& v17_waybel_0(U_164,U_166,U_165)
& v1_funct_2(U_164,u1_struct_0(U_166),u1_struct_0(U_165))
& v1_funct_1(U_164)
& v1_relat_1(U_164)
& m1_relset_1(U_164,u1_struct_0(U_166),u1_struct_0(U_165)) )
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
! [U_166,U_165] :
( ( v22_waybel_0(sK19(U_166,U_165),U_166,U_165)
& v21_waybel_0(sK19(U_166,U_165),U_166,U_165)
& v19_waybel_0(sK19(U_166,U_165),U_166,U_165)
& v17_waybel_0(sK19(U_166,U_165),U_166,U_165)
& v1_funct_2(sK19(U_166,U_165),u1_struct_0(U_166),u1_struct_0(U_165))
& v1_funct_1(sK19(U_166,U_165))
& v1_relat_1(sK19(U_166,U_165))
& m1_relset_1(sK19(U_166,U_165),u1_struct_0(U_166),u1_struct_0(U_165)) )
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_164,sK19(U_166,U_165))],[f_105_2]) ).
cnf(f_105_4,plain,
( m1_relset_1(sK19(U_166,U_165),u1_struct_0(U_166),u1_struct_0(U_165))
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_5,plain,
( v1_relat_1(sK19(U_166,U_165))
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_6,plain,
( v1_funct_1(sK19(U_166,U_165))
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_7,plain,
( v1_funct_2(sK19(U_166,U_165),u1_struct_0(U_166),u1_struct_0(U_165))
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_8,plain,
( v17_waybel_0(sK19(U_166,U_165),U_166,U_165)
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_9,plain,
( v19_waybel_0(sK19(U_166,U_165),U_166,U_165)
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_10,plain,
( v21_waybel_0(sK19(U_166,U_165),U_166,U_165)
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_11,plain,
( v22_waybel_0(sK19(U_166,U_165),U_166,U_165)
| ~ l1_orders_2(U_165)
| ~ v2_yellow_0(U_165)
| ~ v4_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_105_3]) ).
fof(f_106_1,plain,
? [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) ),
inference(fof_nnf,[status(thm)],[rc2_waybel_3]) ).
fof(f_106_2,plain,
? [U_167] :
( v3_waybel_3(U_167)
& v2_waybel_3(U_167)
& v25_waybel_0(U_167)
& v24_waybel_0(U_167)
& v3_yellow_0(U_167)
& v2_yellow_0(U_167)
& v1_yellow_0(U_167)
& v3_lattice3(U_167)
& v2_lattice3(U_167)
& v1_lattice3(U_167)
& v4_orders_2(U_167)
& v3_orders_2(U_167)
& v2_orders_2(U_167)
& v1_orders_2(U_167)
& ~ v3_struct_0(U_167)
& l1_orders_2(U_167) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( v3_waybel_3(sK20)
& v2_waybel_3(sK20)
& v25_waybel_0(sK20)
& v24_waybel_0(sK20)
& v3_yellow_0(sK20)
& v2_yellow_0(sK20)
& v1_yellow_0(sK20)
& v3_lattice3(sK20)
& v2_lattice3(sK20)
& v1_lattice3(sK20)
& v4_orders_2(sK20)
& v3_orders_2(sK20)
& v2_orders_2(sK20)
& v1_orders_2(sK20)
& ~ v3_struct_0(sK20)
& l1_orders_2(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_167,sK20)],[f_106_2]) ).
cnf(f_106_4,plain,
l1_orders_2(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_5,plain,
~ v3_struct_0(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_6,plain,
v1_orders_2(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_7,plain,
v2_orders_2(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_8,plain,
v3_orders_2(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_9,plain,
v4_orders_2(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_10,plain,
v1_lattice3(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_11,plain,
v2_lattice3(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_12,plain,
v3_lattice3(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_13,plain,
v1_yellow_0(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_14,plain,
v2_yellow_0(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_15,plain,
v3_yellow_0(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_16,plain,
v24_waybel_0(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_17,plain,
v25_waybel_0(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_18,plain,
v2_waybel_3(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_19,plain,
v3_waybel_3(sK20),
inference(clausify,[status(thm)],[f_106_3]) ).
fof(f_107_1,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)
& l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[rc2_yellow_0]) ).
fof(f_107_2,plain,
? [U_168] :
( v3_yellow_0(U_168)
& v2_yellow_0(U_168)
& v1_yellow_0(U_168)
& v3_lattice3(U_168)
& v2_lattice3(U_168)
& v1_lattice3(U_168)
& v4_orders_2(U_168)
& v3_orders_2(U_168)
& v2_orders_2(U_168)
& ~ v3_struct_0(U_168)
& l1_orders_2(U_168) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
( v3_yellow_0(sK21)
& v2_yellow_0(sK21)
& v1_yellow_0(sK21)
& v3_lattice3(sK21)
& v2_lattice3(sK21)
& v1_lattice3(sK21)
& v4_orders_2(sK21)
& v3_orders_2(sK21)
& v2_orders_2(sK21)
& ~ v3_struct_0(sK21)
& l1_orders_2(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_168,sK21)],[f_107_2]) ).
cnf(f_107_4,plain,
l1_orders_2(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_5,plain,
~ v3_struct_0(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_6,plain,
v2_orders_2(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_7,plain,
v3_orders_2(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_8,plain,
v4_orders_2(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_9,plain,
v1_lattice3(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_10,plain,
v2_lattice3(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_11,plain,
v3_lattice3(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_12,plain,
v1_yellow_0(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_13,plain,
v2_yellow_0(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_14,plain,
v3_yellow_0(sK21),
inference(clausify,[status(thm)],[f_107_3]) ).
fof(f_108_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_finset_1]) ).
fof(f_108_2,plain,
! [U_170] :
( ? [U_169] :
( v1_finset_1(U_169)
& ~ v1_xboole_0(U_169)
& m1_subset_1(U_169,k1_zfmisc_1(U_170)) )
| v1_xboole_0(U_170) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
! [U_170] :
( ( v1_finset_1(sK22(U_170))
& ~ v1_xboole_0(sK22(U_170))
& m1_subset_1(sK22(U_170),k1_zfmisc_1(U_170)) )
| v1_xboole_0(U_170) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_169,sK22(U_170))],[f_108_2]) ).
cnf(f_108_4,plain,
( m1_subset_1(sK22(U_170),k1_zfmisc_1(U_170))
| v1_xboole_0(U_170) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_5,plain,
( ~ v1_xboole_0(sK22(U_170))
| v1_xboole_0(U_170) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_6,plain,
( v1_finset_1(sK22(U_170))
| v1_xboole_0(U_170) ),
inference(clausify,[status(thm)],[f_108_3]) ).
fof(f_109_1,plain,
? [A] :
( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_funct_1]) ).
fof(f_109_2,plain,
? [U_171] :
( v2_funct_1(U_171)
& v1_funct_1(U_171)
& v1_relat_1(U_171) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
( v2_funct_1(sK23)
& v1_funct_1(sK23)
& v1_relat_1(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_171,sK23)],[f_109_2]) ).
cnf(f_109_4,plain,
v1_relat_1(sK23),
inference(clausify,[status(thm)],[f_109_3]) ).
cnf(f_109_5,plain,
v1_funct_1(sK23),
inference(clausify,[status(thm)],[f_109_3]) ).
cnf(f_109_6,plain,
v2_funct_1(sK23),
inference(clausify,[status(thm)],[f_109_3]) ).
fof(f_110_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_110_2,plain,
? [U_172] :
( ~ v3_struct_0(U_172)
& l1_struct_0(U_172) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
( ~ v3_struct_0(sK24)
& l1_struct_0(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_172,sK24)],[f_110_2]) ).
cnf(f_110_4,plain,
l1_struct_0(sK24),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_5,plain,
~ v3_struct_0(sK24),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_1,plain,
! [A,B] :
( ? [C] :
( v22_waybel_0(C,A,B)
& v21_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v18_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v1_yellow_0(B)
| ~ v4_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_waybel34]) ).
fof(f_111_2,plain,
! [U_175,U_174] :
( ? [U_173] :
( v22_waybel_0(U_173,U_175,U_174)
& v21_waybel_0(U_173,U_175,U_174)
& v20_waybel_0(U_173,U_175,U_174)
& v18_waybel_0(U_173,U_175,U_174)
& v1_funct_2(U_173,u1_struct_0(U_175),u1_struct_0(U_174))
& v1_funct_1(U_173)
& v1_relat_1(U_173)
& m1_relset_1(U_173,u1_struct_0(U_175),u1_struct_0(U_174)) )
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
! [U_175,U_174] :
( ( v22_waybel_0(sK25(U_175,U_174),U_175,U_174)
& v21_waybel_0(sK25(U_175,U_174),U_175,U_174)
& v20_waybel_0(sK25(U_175,U_174),U_175,U_174)
& v18_waybel_0(sK25(U_175,U_174),U_175,U_174)
& v1_funct_2(sK25(U_175,U_174),u1_struct_0(U_175),u1_struct_0(U_174))
& v1_funct_1(sK25(U_175,U_174))
& v1_relat_1(sK25(U_175,U_174))
& m1_relset_1(sK25(U_175,U_174),u1_struct_0(U_175),u1_struct_0(U_174)) )
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_173,sK25(U_175,U_174))],[f_111_2]) ).
cnf(f_111_4,plain,
( m1_relset_1(sK25(U_175,U_174),u1_struct_0(U_175),u1_struct_0(U_174))
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_5,plain,
( v1_relat_1(sK25(U_175,U_174))
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_6,plain,
( v1_funct_1(sK25(U_175,U_174))
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_7,plain,
( v1_funct_2(sK25(U_175,U_174),u1_struct_0(U_175),u1_struct_0(U_174))
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_8,plain,
( v18_waybel_0(sK25(U_175,U_174),U_175,U_174)
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_9,plain,
( v20_waybel_0(sK25(U_175,U_174),U_175,U_174)
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_10,plain,
( v21_waybel_0(sK25(U_175,U_174),U_175,U_174)
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_11,plain,
( v22_waybel_0(sK25(U_175,U_174),U_175,U_174)
| ~ l1_orders_2(U_174)
| ~ v1_yellow_0(U_174)
| ~ v4_orders_2(U_174)
| ~ v2_orders_2(U_174)
| v3_struct_0(U_174)
| ~ l1_orders_2(U_175)
| v3_struct_0(U_175) ),
inference(clausify,[status(thm)],[f_111_3]) ).
fof(f_112_1,plain,
! [A] :
( ? [B] :
( v4_yellow_0(B,A)
& v1_orders_2(B)
& m1_yellow_0(B,A) )
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[rc3_yellow_0]) ).
fof(f_112_2,plain,
! [U_177] :
( ? [U_176] :
( v4_yellow_0(U_176,U_177)
& v1_orders_2(U_176)
& m1_yellow_0(U_176,U_177) )
| ~ l1_orders_2(U_177) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
! [U_177] :
( ( v4_yellow_0(sK26(U_177),U_177)
& v1_orders_2(sK26(U_177))
& m1_yellow_0(sK26(U_177),U_177) )
| ~ l1_orders_2(U_177) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_176,sK26(U_177))],[f_112_2]) ).
cnf(f_112_4,plain,
( m1_yellow_0(sK26(U_177),U_177)
| ~ l1_orders_2(U_177) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_5,plain,
( v1_orders_2(sK26(U_177))
| ~ l1_orders_2(U_177) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_6,plain,
( v4_yellow_0(sK26(U_177),U_177)
| ~ l1_orders_2(U_177) ),
inference(clausify,[status(thm)],[f_112_3]) ).
fof(f_113_1,plain,
! [A,B] :
( ? [C] :
( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v21_waybel_0(C,A,B)
& v19_waybel_0(C,A,B)
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& ~ v1_xboole_0(C)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v2_yellow_0(B)
| ~ v4_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_yellow_9]) ).
fof(f_113_2,plain,
! [U_180,U_179] :
( ? [U_178] :
( v1_partfun1(U_178,u1_struct_0(U_180),u1_struct_0(U_179))
& v21_waybel_0(U_178,U_180,U_179)
& v19_waybel_0(U_178,U_180,U_179)
& v17_waybel_0(U_178,U_180,U_179)
& v1_funct_2(U_178,u1_struct_0(U_180),u1_struct_0(U_179))
& ~ v1_xboole_0(U_178)
& v1_funct_1(U_178)
& v1_relat_1(U_178)
& m1_relset_1(U_178,u1_struct_0(U_180),u1_struct_0(U_179)) )
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
! [U_180,U_179] :
( ( v1_partfun1(sK27(U_180,U_179),u1_struct_0(U_180),u1_struct_0(U_179))
& v21_waybel_0(sK27(U_180,U_179),U_180,U_179)
& v19_waybel_0(sK27(U_180,U_179),U_180,U_179)
& v17_waybel_0(sK27(U_180,U_179),U_180,U_179)
& v1_funct_2(sK27(U_180,U_179),u1_struct_0(U_180),u1_struct_0(U_179))
& ~ v1_xboole_0(sK27(U_180,U_179))
& v1_funct_1(sK27(U_180,U_179))
& v1_relat_1(sK27(U_180,U_179))
& m1_relset_1(sK27(U_180,U_179),u1_struct_0(U_180),u1_struct_0(U_179)) )
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_178,sK27(U_180,U_179))],[f_113_2]) ).
cnf(f_113_4,plain,
( m1_relset_1(sK27(U_180,U_179),u1_struct_0(U_180),u1_struct_0(U_179))
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_5,plain,
( v1_relat_1(sK27(U_180,U_179))
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_6,plain,
( v1_funct_1(sK27(U_180,U_179))
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_7,plain,
( ~ v1_xboole_0(sK27(U_180,U_179))
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_8,plain,
( v1_funct_2(sK27(U_180,U_179),u1_struct_0(U_180),u1_struct_0(U_179))
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_9,plain,
( v17_waybel_0(sK27(U_180,U_179),U_180,U_179)
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_10,plain,
( v19_waybel_0(sK27(U_180,U_179),U_180,U_179)
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_11,plain,
( v21_waybel_0(sK27(U_180,U_179),U_180,U_179)
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_12,plain,
( v1_partfun1(sK27(U_180,U_179),u1_struct_0(U_180),u1_struct_0(U_179))
| ~ l1_orders_2(U_179)
| ~ v2_yellow_0(U_179)
| ~ v4_orders_2(U_179)
| ~ v2_orders_2(U_179)
| v3_struct_0(U_179)
| ~ l1_orders_2(U_180)
| v3_struct_0(U_180) ),
inference(clausify,[status(thm)],[f_113_3]) ).
fof(f_114_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_finset_1]) ).
fof(f_114_2,plain,
! [U_182] :
( ? [U_181] :
( v1_finset_1(U_181)
& ~ v1_xboole_0(U_181)
& m1_subset_1(U_181,k1_zfmisc_1(U_182)) )
| v1_xboole_0(U_182) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
! [U_182] :
( ( v1_finset_1(sK28(U_182))
& ~ v1_xboole_0(sK28(U_182))
& m1_subset_1(sK28(U_182),k1_zfmisc_1(U_182)) )
| v1_xboole_0(U_182) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_181,sK28(U_182))],[f_114_2]) ).
cnf(f_114_4,plain,
( m1_subset_1(sK28(U_182),k1_zfmisc_1(U_182))
| v1_xboole_0(U_182) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_5,plain,
( ~ v1_xboole_0(sK28(U_182))
| v1_xboole_0(U_182) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_6,plain,
( v1_finset_1(sK28(U_182))
| v1_xboole_0(U_182) ),
inference(clausify,[status(thm)],[f_114_3]) ).
fof(f_115_1,plain,
! [A,B] :
( ? [C] :
( v5_waybel34(C,A,B)
& v5_orders_3(C,A,B)
& 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)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v1_yellow_0(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| ~ v1_yellow_0(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_waybel34]) ).
fof(f_115_2,plain,
! [U_185,U_184] :
( ? [U_183] :
( v5_waybel34(U_183,U_185,U_184)
& v5_orders_3(U_183,U_185,U_184)
& v22_waybel_0(U_183,U_185,U_184)
& v20_waybel_0(U_183,U_185,U_184)
& v18_waybel_0(U_183,U_185,U_184)
& v1_partfun1(U_183,u1_struct_0(U_185),u1_struct_0(U_184))
& v1_funct_2(U_183,u1_struct_0(U_185),u1_struct_0(U_184))
& ~ v1_xboole_0(U_183)
& v1_funct_1(U_183)
& v1_relat_1(U_183)
& m1_relset_1(U_183,u1_struct_0(U_185),u1_struct_0(U_184)) )
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
! [U_185,U_184] :
( ( v5_waybel34(sK29(U_185,U_184),U_185,U_184)
& v5_orders_3(sK29(U_185,U_184),U_185,U_184)
& v22_waybel_0(sK29(U_185,U_184),U_185,U_184)
& v20_waybel_0(sK29(U_185,U_184),U_185,U_184)
& v18_waybel_0(sK29(U_185,U_184),U_185,U_184)
& v1_partfun1(sK29(U_185,U_184),u1_struct_0(U_185),u1_struct_0(U_184))
& v1_funct_2(sK29(U_185,U_184),u1_struct_0(U_185),u1_struct_0(U_184))
& ~ v1_xboole_0(sK29(U_185,U_184))
& v1_funct_1(sK29(U_185,U_184))
& v1_relat_1(sK29(U_185,U_184))
& m1_relset_1(sK29(U_185,U_184),u1_struct_0(U_185),u1_struct_0(U_184)) )
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_183,sK29(U_185,U_184))],[f_115_2]) ).
cnf(f_115_4,plain,
( m1_relset_1(sK29(U_185,U_184),u1_struct_0(U_185),u1_struct_0(U_184))
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_5,plain,
( v1_relat_1(sK29(U_185,U_184))
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_6,plain,
( v1_funct_1(sK29(U_185,U_184))
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_7,plain,
( ~ v1_xboole_0(sK29(U_185,U_184))
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_8,plain,
( v1_funct_2(sK29(U_185,U_184),u1_struct_0(U_185),u1_struct_0(U_184))
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_9,plain,
( v1_partfun1(sK29(U_185,U_184),u1_struct_0(U_185),u1_struct_0(U_184))
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_10,plain,
( v18_waybel_0(sK29(U_185,U_184),U_185,U_184)
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_11,plain,
( v20_waybel_0(sK29(U_185,U_184),U_185,U_184)
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_12,plain,
( v22_waybel_0(sK29(U_185,U_184),U_185,U_184)
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_13,plain,
( v5_orders_3(sK29(U_185,U_184),U_185,U_184)
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_14,plain,
( v5_waybel34(sK29(U_185,U_184),U_185,U_184)
| ~ l1_orders_2(U_184)
| ~ v1_yellow_0(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| v3_struct_0(U_184)
| ~ l1_orders_2(U_185)
| ~ v1_yellow_0(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185)
| v3_struct_0(U_185) ),
inference(clausify,[status(thm)],[f_115_3]) ).
fof(f_116_1,plain,
! [A] :
( ? [B] :
( v4_yellow_0(B,A)
& v1_orders_2(B)
& ~ v3_struct_0(B)
& m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_yellow_0]) ).
fof(f_116_2,plain,
! [U_187] :
( ? [U_186] :
( v4_yellow_0(U_186,U_187)
& v1_orders_2(U_186)
& ~ v3_struct_0(U_186)
& m1_yellow_0(U_186,U_187) )
| ~ l1_orders_2(U_187)
| v3_struct_0(U_187) ),
inference(variable_rename,[status(thm)],[f_116_1]) ).
fof(f_116_3,plain,
! [U_187] :
( ( v4_yellow_0(sK30(U_187),U_187)
& v1_orders_2(sK30(U_187))
& ~ v3_struct_0(sK30(U_187))
& m1_yellow_0(sK30(U_187),U_187) )
| ~ l1_orders_2(U_187)
| v3_struct_0(U_187) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_186,sK30(U_187))],[f_116_2]) ).
cnf(f_116_4,plain,
( m1_yellow_0(sK30(U_187),U_187)
| ~ l1_orders_2(U_187)
| v3_struct_0(U_187) ),
inference(clausify,[status(thm)],[f_116_3]) ).
cnf(f_116_5,plain,
( ~ v3_struct_0(sK30(U_187))
| ~ l1_orders_2(U_187)
| v3_struct_0(U_187) ),
inference(clausify,[status(thm)],[f_116_3]) ).
cnf(f_116_6,plain,
( v1_orders_2(sK30(U_187))
| ~ l1_orders_2(U_187)
| v3_struct_0(U_187) ),
inference(clausify,[status(thm)],[f_116_3]) ).
cnf(f_116_7,plain,
( v4_yellow_0(sK30(U_187),U_187)
| ~ l1_orders_2(U_187)
| v3_struct_0(U_187) ),
inference(clausify,[status(thm)],[f_116_3]) ).
fof(f_117_1,plain,
! [A,B] :
( ? [C] :
( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v22_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v18_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& ~ v1_xboole_0(C)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v1_yellow_0(B)
| ~ v4_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_yellow_9]) ).
fof(f_117_2,plain,
! [U_190,U_189] :
( ? [U_188] :
( v1_partfun1(U_188,u1_struct_0(U_190),u1_struct_0(U_189))
& v22_waybel_0(U_188,U_190,U_189)
& v20_waybel_0(U_188,U_190,U_189)
& v18_waybel_0(U_188,U_190,U_189)
& v1_funct_2(U_188,u1_struct_0(U_190),u1_struct_0(U_189))
& ~ v1_xboole_0(U_188)
& v1_funct_1(U_188)
& v1_relat_1(U_188)
& m1_relset_1(U_188,u1_struct_0(U_190),u1_struct_0(U_189)) )
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
! [U_190,U_189] :
( ( v1_partfun1(sK31(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
& v22_waybel_0(sK31(U_190,U_189),U_190,U_189)
& v20_waybel_0(sK31(U_190,U_189),U_190,U_189)
& v18_waybel_0(sK31(U_190,U_189),U_190,U_189)
& v1_funct_2(sK31(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
& ~ v1_xboole_0(sK31(U_190,U_189))
& v1_funct_1(sK31(U_190,U_189))
& v1_relat_1(sK31(U_190,U_189))
& m1_relset_1(sK31(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189)) )
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_188,sK31(U_190,U_189))],[f_117_2]) ).
cnf(f_117_4,plain,
( m1_relset_1(sK31(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
cnf(f_117_5,plain,
( v1_relat_1(sK31(U_190,U_189))
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
cnf(f_117_6,plain,
( v1_funct_1(sK31(U_190,U_189))
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
cnf(f_117_7,plain,
( ~ v1_xboole_0(sK31(U_190,U_189))
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
cnf(f_117_8,plain,
( v1_funct_2(sK31(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
cnf(f_117_9,plain,
( v18_waybel_0(sK31(U_190,U_189),U_190,U_189)
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
cnf(f_117_10,plain,
( v20_waybel_0(sK31(U_190,U_189),U_190,U_189)
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
cnf(f_117_11,plain,
( v22_waybel_0(sK31(U_190,U_189),U_190,U_189)
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
cnf(f_117_12,plain,
( v1_partfun1(sK31(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
| ~ l1_orders_2(U_189)
| ~ v1_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_117_3]) ).
fof(f_118_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc5_struct_0]) ).
fof(f_118_2,plain,
! [U_192] :
( ? [U_191] :
( ~ v1_xboole_0(U_191)
& m1_subset_1(U_191,k1_zfmisc_1(u1_struct_0(U_192))) )
| ~ l1_struct_0(U_192)
| v3_struct_0(U_192) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
! [U_192] :
( ( ~ v1_xboole_0(sK32(U_192))
& m1_subset_1(sK32(U_192),k1_zfmisc_1(u1_struct_0(U_192))) )
| ~ l1_struct_0(U_192)
| v3_struct_0(U_192) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_191,sK32(U_192))],[f_118_2]) ).
cnf(f_118_4,plain,
( m1_subset_1(sK32(U_192),k1_zfmisc_1(u1_struct_0(U_192)))
| ~ l1_struct_0(U_192)
| v3_struct_0(U_192) ),
inference(clausify,[status(thm)],[f_118_3]) ).
cnf(f_118_5,plain,
( ~ v1_xboole_0(sK32(U_192))
| ~ l1_struct_0(U_192)
| v3_struct_0(U_192) ),
inference(clausify,[status(thm)],[f_118_3]) ).
fof(f_119_1,plain,
! [A,B] :
( ? [C] :
( v5_waybel34(C,A,B)
& v4_waybel34(C,A,B)
& v22_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v18_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
| ~ l1_orders_2(B)
| ~ v1_yellow_0(B)
| ~ v4_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc6_waybel34]) ).
fof(f_119_2,plain,
! [U_195,U_194] :
( ? [U_193] :
( v5_waybel34(U_193,U_195,U_194)
& v4_waybel34(U_193,U_195,U_194)
& v22_waybel_0(U_193,U_195,U_194)
& v20_waybel_0(U_193,U_195,U_194)
& v18_waybel_0(U_193,U_195,U_194)
& v1_funct_2(U_193,u1_struct_0(U_195),u1_struct_0(U_194))
& v1_funct_1(U_193)
& v1_relat_1(U_193)
& m1_relset_1(U_193,u1_struct_0(U_195),u1_struct_0(U_194)) )
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
! [U_195,U_194] :
( ( v5_waybel34(sK33(U_195,U_194),U_195,U_194)
& v4_waybel34(sK33(U_195,U_194),U_195,U_194)
& v22_waybel_0(sK33(U_195,U_194),U_195,U_194)
& v20_waybel_0(sK33(U_195,U_194),U_195,U_194)
& v18_waybel_0(sK33(U_195,U_194),U_195,U_194)
& v1_funct_2(sK33(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194))
& v1_funct_1(sK33(U_195,U_194))
& v1_relat_1(sK33(U_195,U_194))
& m1_relset_1(sK33(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194)) )
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_193,sK33(U_195,U_194))],[f_119_2]) ).
cnf(f_119_4,plain,
( m1_relset_1(sK33(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
cnf(f_119_5,plain,
( v1_relat_1(sK33(U_195,U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
cnf(f_119_6,plain,
( v1_funct_1(sK33(U_195,U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
cnf(f_119_7,plain,
( v1_funct_2(sK33(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
cnf(f_119_8,plain,
( v18_waybel_0(sK33(U_195,U_194),U_195,U_194)
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
cnf(f_119_9,plain,
( v20_waybel_0(sK33(U_195,U_194),U_195,U_194)
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
cnf(f_119_10,plain,
( v22_waybel_0(sK33(U_195,U_194),U_195,U_194)
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
cnf(f_119_11,plain,
( v4_waybel34(sK33(U_195,U_194),U_195,U_194)
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
cnf(f_119_12,plain,
( v5_waybel34(sK33(U_195,U_194),U_195,U_194)
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_119_3]) ).
fof(f_120_1,plain,
! [A,B,C,D] :
( k8_relset_1(A,B,C,D) = k7_relat_1(C,D)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k8_relset_1]) ).
fof(f_120_2,plain,
! [U_199,U_198,U_197,U_196] :
( k8_relset_1(U_199,U_198,U_197,U_196) = k7_relat_1(U_197,U_196)
| ~ m1_relset_1(U_197,U_199,U_198) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
! [U_199,U_198,U_197] :
( ! [U_196] : k8_relset_1(U_199,U_198,U_197,U_196) = k7_relat_1(U_197,U_196)
| ~ m1_relset_1(U_197,U_199,U_198) ),
inference(miniscope,[status(thm)],[f_120_2]) ).
cnf(f_120_4,plain,
( k8_relset_1(U_199,U_198,U_197,U_196) = k7_relat_1(U_197,U_196)
| ~ m1_relset_1(U_197,U_199,U_198) ),
inference(clausify,[status(thm)],[f_120_3]) ).
fof(f_121_1,plain,
! [A,B,C] :
( ( m2_relset_1(C,A,B)
| ~ m1_relset_1(C,A,B) )
& ( m1_relset_1(C,A,B)
| ~ m2_relset_1(C,A,B) ) ),
inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1]) ).
fof(f_121_2,plain,
! [U_202,U_201,U_200] :
( ( m2_relset_1(U_200,U_202,U_201)
| ~ m1_relset_1(U_200,U_202,U_201) )
& ( m1_relset_1(U_200,U_202,U_201)
| ~ m2_relset_1(U_200,U_202,U_201) ) ),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
( ! [U_208,U_206,U_204] :
( m2_relset_1(U_204,U_208,U_206)
| ~ m1_relset_1(U_204,U_208,U_206) )
& ! [U_207,U_205,U_203] :
( m1_relset_1(U_203,U_207,U_205)
| ~ m2_relset_1(U_203,U_207,U_205) ) ),
inference(miniscope,[status(thm)],[f_121_2]) ).
cnf(f_121_4,plain,
( m1_relset_1(U_203,U_207,U_205)
| ~ m2_relset_1(U_203,U_207,U_205) ),
inference(clausify,[status(thm)],[f_121_3]) ).
cnf(f_121_5,plain,
( m2_relset_1(U_204,U_208,U_206)
| ~ m1_relset_1(U_204,U_208,U_206) ),
inference(clausify,[status(thm)],[f_121_3]) ).
fof(f_122_1,plain,
! [A,B,C] :
( ( ( r3_orders_2(A,B,C)
| ~ r1_orders_2(A,B,C) )
& ( r1_orders_2(A,B,C)
| ~ r3_orders_2(A,B,C) ) )
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_r3_orders_2]) ).
fof(f_122_2,plain,
! [U_211,U_210,U_209] :
( ( ( r3_orders_2(U_211,U_210,U_209)
| ~ r1_orders_2(U_211,U_210,U_209) )
& ( r1_orders_2(U_211,U_210,U_209)
| ~ r3_orders_2(U_211,U_210,U_209) ) )
| ~ m1_subset_1(U_209,u1_struct_0(U_211))
| ~ m1_subset_1(U_210,u1_struct_0(U_211))
| ~ l1_orders_2(U_211)
| ~ v2_orders_2(U_211)
| v3_struct_0(U_211) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
cnf(f_122_3,plain,
( r1_orders_2(U_211,U_210,U_209)
| ~ r3_orders_2(U_211,U_210,U_209)
| ~ m1_subset_1(U_209,u1_struct_0(U_211))
| ~ m1_subset_1(U_210,u1_struct_0(U_211))
| ~ l1_orders_2(U_211)
| ~ v2_orders_2(U_211)
| v3_struct_0(U_211) ),
inference(clausify,[status(thm)],[f_122_2]) ).
cnf(f_122_4,plain,
( r3_orders_2(U_211,U_210,U_209)
| ~ r1_orders_2(U_211,U_210,U_209)
| ~ m1_subset_1(U_209,u1_struct_0(U_211))
| ~ m1_subset_1(U_210,u1_struct_0(U_211))
| ~ l1_orders_2(U_211)
| ~ v2_orders_2(U_211)
| v3_struct_0(U_211) ),
inference(clausify,[status(thm)],[f_122_2]) ).
fof(f_123_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_123_2,plain,
! [U_213,U_212] : r1_tarski(U_213,U_213),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
! [U_213] : r1_tarski(U_213,U_213),
inference(miniscope,[status(thm)],[f_123_2]) ).
cnf(f_123_4,plain,
r1_tarski(U_213,U_213),
inference(clausify,[status(thm)],[f_123_3]) ).
fof(f_124_1,plain,
! [A,B,C] :
( r3_orders_2(A,B,B)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[reflexivity_r3_orders_2]) ).
fof(f_124_2,plain,
! [U_216,U_215,U_214] :
( r3_orders_2(U_216,U_215,U_215)
| ~ m1_subset_1(U_214,u1_struct_0(U_216))
| ~ m1_subset_1(U_215,u1_struct_0(U_216))
| ~ l1_orders_2(U_216)
| ~ v2_orders_2(U_216)
| v3_struct_0(U_216) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
! [U_216,U_215] :
( ! [U_214] : ~ m1_subset_1(U_214,u1_struct_0(U_216))
| ~ m1_subset_1(U_215,u1_struct_0(U_216))
| ~ l1_orders_2(U_216)
| ~ v2_orders_2(U_216)
| v3_struct_0(U_216)
| r3_orders_2(U_216,U_215,U_215) ),
inference(miniscope,[status(thm)],[f_124_2]) ).
cnf(f_124_4,plain,
( ~ m1_subset_1(U_214,u1_struct_0(U_216))
| ~ m1_subset_1(U_215,u1_struct_0(U_216))
| ~ l1_orders_2(U_216)
| ~ v2_orders_2(U_216)
| v3_struct_0(U_216)
| r3_orders_2(U_216,U_215,U_215) ),
inference(clausify,[status(thm)],[f_124_3]) ).
fof(f_125_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_125_2,plain,
! [U_218,U_217] :
( m1_subset_1(U_218,U_217)
| ~ r2_hidden(U_218,U_217) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
cnf(f_125_3,plain,
( m1_subset_1(U_218,U_217)
| ~ r2_hidden(U_218,U_217) ),
inference(clausify,[status(thm)],[f_125_2]) ).
fof(f_126_1,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(fof_nnf,[status(thm)],[t24_waybel34]) ).
fof(f_126_2,plain,
! [U_221] :
( ! [U_220] :
( ! [U_219] :
( v1_waybel34(k1_waybel34(U_221,U_220,U_219),U_220,U_221)
| ~ v22_waybel_0(U_219,U_221,U_220)
| ~ m2_relset_1(U_219,u1_struct_0(U_221),u1_struct_0(U_220))
| ~ v17_waybel_0(U_219,U_221,U_220)
| ~ v1_funct_2(U_219,u1_struct_0(U_221),u1_struct_0(U_220))
| ~ v1_funct_1(U_219) )
| ~ l1_orders_2(U_220)
| ~ v3_lattice3(U_220)
| ~ v2_lattice3(U_220)
| ~ v1_lattice3(U_220)
| ~ v4_orders_2(U_220)
| ~ v3_orders_2(U_220)
| ~ v2_orders_2(U_220) )
| ~ l1_orders_2(U_221)
| ~ v3_lattice3(U_221)
| ~ v2_lattice3(U_221)
| ~ v1_lattice3(U_221)
| ~ v4_orders_2(U_221)
| ~ v3_orders_2(U_221)
| ~ v2_orders_2(U_221) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
cnf(f_126_3,plain,
( v1_waybel34(k1_waybel34(U_221,U_220,U_219),U_220,U_221)
| ~ v22_waybel_0(U_219,U_221,U_220)
| ~ m2_relset_1(U_219,u1_struct_0(U_221),u1_struct_0(U_220))
| ~ v17_waybel_0(U_219,U_221,U_220)
| ~ v1_funct_2(U_219,u1_struct_0(U_221),u1_struct_0(U_220))
| ~ v1_funct_1(U_219)
| ~ l1_orders_2(U_220)
| ~ v3_lattice3(U_220)
| ~ v2_lattice3(U_220)
| ~ v1_lattice3(U_220)
| ~ v4_orders_2(U_220)
| ~ v3_orders_2(U_220)
| ~ v2_orders_2(U_220)
| ~ l1_orders_2(U_221)
| ~ v3_lattice3(U_221)
| ~ v2_lattice3(U_221)
| ~ v1_lattice3(U_221)
| ~ v4_orders_2(U_221)
| ~ v3_orders_2(U_221)
| ~ v2_orders_2(U_221) ),
inference(clausify,[status(thm)],[f_126_2]) ).
fof(f_127_1,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(fof_nnf,[status(thm)],[t25_waybel34]) ).
fof(f_127_2,plain,
! [U_224] :
( ! [U_223] :
( ! [U_222] :
( v22_waybel_0(U_222,U_224,U_223)
| ~ v1_waybel34(k1_waybel34(U_224,U_223,U_222),U_223,U_224)
| ~ m2_relset_1(U_222,u1_struct_0(U_224),u1_struct_0(U_223))
| ~ v17_waybel_0(U_222,U_224,U_223)
| ~ v1_funct_2(U_222,u1_struct_0(U_224),u1_struct_0(U_223))
| ~ v1_funct_1(U_222) )
| ~ l1_orders_2(U_223)
| ~ v3_waybel_3(U_223)
| ~ v3_lattice3(U_223)
| ~ v2_lattice3(U_223)
| ~ v1_lattice3(U_223)
| ~ v4_orders_2(U_223)
| ~ v3_orders_2(U_223)
| ~ v2_orders_2(U_223) )
| ~ l1_orders_2(U_224)
| ~ v3_lattice3(U_224)
| ~ v2_lattice3(U_224)
| ~ v1_lattice3(U_224)
| ~ v4_orders_2(U_224)
| ~ v3_orders_2(U_224)
| ~ v2_orders_2(U_224) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
cnf(f_127_3,plain,
( v22_waybel_0(U_222,U_224,U_223)
| ~ v1_waybel34(k1_waybel34(U_224,U_223,U_222),U_223,U_224)
| ~ m2_relset_1(U_222,u1_struct_0(U_224),u1_struct_0(U_223))
| ~ v17_waybel_0(U_222,U_224,U_223)
| ~ v1_funct_2(U_222,u1_struct_0(U_224),u1_struct_0(U_223))
| ~ v1_funct_1(U_222)
| ~ l1_orders_2(U_223)
| ~ v3_waybel_3(U_223)
| ~ v3_lattice3(U_223)
| ~ v2_lattice3(U_223)
| ~ v1_lattice3(U_223)
| ~ v4_orders_2(U_223)
| ~ v3_orders_2(U_223)
| ~ v2_orders_2(U_223)
| ~ l1_orders_2(U_224)
| ~ v3_lattice3(U_224)
| ~ v2_lattice3(U_224)
| ~ v1_lattice3(U_224)
| ~ v4_orders_2(U_224)
| ~ v3_orders_2(U_224)
| ~ v2_orders_2(U_224) ),
inference(clausify,[status(thm)],[f_127_2]) ).
fof(f_128_1,plain,
! [A,B] :
( r2_hidden(A,B)
| v1_xboole_0(B)
| ~ m1_subset_1(A,B) ),
inference(fof_nnf,[status(thm)],[t2_subset]) ).
fof(f_128_2,plain,
! [U_226,U_225] :
( r2_hidden(U_226,U_225)
| v1_xboole_0(U_225)
| ~ m1_subset_1(U_226,U_225) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
cnf(f_128_3,plain,
( r2_hidden(U_226,U_225)
| v1_xboole_0(U_225)
| ~ m1_subset_1(U_226,U_225) ),
inference(clausify,[status(thm)],[f_128_2]) ).
fof(f_129_1,plain,
! [A,B] :
( ( m1_subset_1(A,k1_zfmisc_1(B))
| ~ r1_tarski(A,B) )
& ( r1_tarski(A,B)
| ~ m1_subset_1(A,k1_zfmisc_1(B)) ) ),
inference(fof_nnf,[status(thm)],[t3_subset]) ).
fof(f_129_2,plain,
! [U_228,U_227] :
( ( m1_subset_1(U_228,k1_zfmisc_1(U_227))
| ~ r1_tarski(U_228,U_227) )
& ( r1_tarski(U_228,U_227)
| ~ m1_subset_1(U_228,k1_zfmisc_1(U_227)) ) ),
inference(variable_rename,[status(thm)],[f_129_1]) ).
fof(f_129_3,plain,
( ! [U_232,U_230] :
( m1_subset_1(U_232,k1_zfmisc_1(U_230))
| ~ r1_tarski(U_232,U_230) )
& ! [U_231,U_229] :
( r1_tarski(U_231,U_229)
| ~ m1_subset_1(U_231,k1_zfmisc_1(U_229)) ) ),
inference(miniscope,[status(thm)],[f_129_2]) ).
cnf(f_129_4,plain,
( r1_tarski(U_231,U_229)
| ~ m1_subset_1(U_231,k1_zfmisc_1(U_229)) ),
inference(clausify,[status(thm)],[f_129_3]) ).
cnf(f_129_5,plain,
( m1_subset_1(U_232,k1_zfmisc_1(U_230))
| ~ r1_tarski(U_232,U_230) ),
inference(clausify,[status(thm)],[f_129_3]) ).
fof(f_130_1,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t4_subset]) ).
fof(f_130_2,plain,
! [U_235,U_234,U_233] :
( m1_subset_1(U_235,U_233)
| ~ m1_subset_1(U_234,k1_zfmisc_1(U_233))
| ~ r2_hidden(U_235,U_234) ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
cnf(f_130_3,plain,
( m1_subset_1(U_235,U_233)
| ~ m1_subset_1(U_234,k1_zfmisc_1(U_233))
| ~ r2_hidden(U_235,U_234) ),
inference(clausify,[status(thm)],[f_130_2]) ).
fof(f_131_1,plain,
! [A,B,C] :
( ~ v1_xboole_0(C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t5_subset]) ).
fof(f_131_2,plain,
! [U_238,U_237,U_236] :
( ~ v1_xboole_0(U_236)
| ~ m1_subset_1(U_237,k1_zfmisc_1(U_236))
| ~ r2_hidden(U_238,U_237) ),
inference(variable_rename,[status(thm)],[f_131_1]) ).
fof(f_131_3,plain,
! [U_238,U_237] :
( ! [U_236] :
( ~ v1_xboole_0(U_236)
| ~ m1_subset_1(U_237,k1_zfmisc_1(U_236)) )
| ~ r2_hidden(U_238,U_237) ),
inference(miniscope,[status(thm)],[f_131_2]) ).
cnf(f_131_4,plain,
( ~ v1_xboole_0(U_236)
| ~ m1_subset_1(U_237,k1_zfmisc_1(U_236))
| ~ r2_hidden(U_238,U_237) ),
inference(clausify,[status(thm)],[f_131_3]) ).
fof(f_132_1,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(fof_nnf,[status(thm)],[t60_waybel34]) ).
fof(f_132_2,plain,
! [U_241] :
( ! [U_240] :
( ! [U_239] :
( v3_waybel34(U_239,U_240,U_241)
| ~ v1_waybel34(U_239,U_240,U_241)
| ~ m2_relset_1(U_239,u1_struct_0(U_240),u1_struct_0(U_241))
| ~ v18_waybel_0(U_239,U_240,U_241)
| ~ v1_funct_2(U_239,u1_struct_0(U_240),u1_struct_0(U_241))
| ~ v1_funct_1(U_239) )
| ~ l1_orders_2(U_240)
| ~ v3_lattice3(U_240)
| ~ v2_lattice3(U_240)
| ~ v1_lattice3(U_240)
| ~ v4_orders_2(U_240)
| ~ v3_orders_2(U_240)
| ~ v2_orders_2(U_240) )
| ~ l1_orders_2(U_241)
| ~ v3_lattice3(U_241)
| ~ v2_lattice3(U_241)
| ~ v1_lattice3(U_241)
| ~ v4_orders_2(U_241)
| ~ v3_orders_2(U_241)
| ~ v2_orders_2(U_241) ),
inference(variable_rename,[status(thm)],[f_132_1]) ).
cnf(f_132_3,plain,
( v3_waybel34(U_239,U_240,U_241)
| ~ v1_waybel34(U_239,U_240,U_241)
| ~ m2_relset_1(U_239,u1_struct_0(U_240),u1_struct_0(U_241))
| ~ v18_waybel_0(U_239,U_240,U_241)
| ~ v1_funct_2(U_239,u1_struct_0(U_240),u1_struct_0(U_241))
| ~ v1_funct_1(U_239)
| ~ l1_orders_2(U_240)
| ~ v3_lattice3(U_240)
| ~ v2_lattice3(U_240)
| ~ v1_lattice3(U_240)
| ~ v4_orders_2(U_240)
| ~ v3_orders_2(U_240)
| ~ v2_orders_2(U_240)
| ~ l1_orders_2(U_241)
| ~ v3_lattice3(U_241)
| ~ v2_lattice3(U_241)
| ~ v1_lattice3(U_241)
| ~ v4_orders_2(U_241)
| ~ v3_orders_2(U_241)
| ~ v2_orders_2(U_241) ),
inference(clausify,[status(thm)],[f_132_2]) ).
fof(f_133_1,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(fof_nnf,[status(thm)],[t61_waybel34]) ).
fof(f_133_2,plain,
! [U_244] :
( ! [U_243] :
( ! [U_242] :
( v1_waybel34(U_242,U_243,U_244)
| ~ v3_waybel34(U_242,U_243,U_244)
| ~ v2_waybel_8(U_243)
| ~ m2_relset_1(U_242,u1_struct_0(U_243),u1_struct_0(U_244))
| ~ v18_waybel_0(U_242,U_243,U_244)
| ~ v1_funct_2(U_242,u1_struct_0(U_243),u1_struct_0(U_244))
| ~ v1_funct_1(U_242) )
| ~ l1_orders_2(U_243)
| ~ v3_lattice3(U_243)
| ~ v2_lattice3(U_243)
| ~ v1_lattice3(U_243)
| ~ v4_orders_2(U_243)
| ~ v3_orders_2(U_243)
| ~ v2_orders_2(U_243) )
| ~ l1_orders_2(U_244)
| ~ v3_lattice3(U_244)
| ~ v2_lattice3(U_244)
| ~ v1_lattice3(U_244)
| ~ v4_orders_2(U_244)
| ~ v3_orders_2(U_244)
| ~ v2_orders_2(U_244) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
cnf(f_133_3,plain,
( v1_waybel34(U_242,U_243,U_244)
| ~ v3_waybel34(U_242,U_243,U_244)
| ~ v2_waybel_8(U_243)
| ~ m2_relset_1(U_242,u1_struct_0(U_243),u1_struct_0(U_244))
| ~ v18_waybel_0(U_242,U_243,U_244)
| ~ v1_funct_2(U_242,u1_struct_0(U_243),u1_struct_0(U_244))
| ~ v1_funct_1(U_242)
| ~ l1_orders_2(U_243)
| ~ v3_lattice3(U_243)
| ~ v2_lattice3(U_243)
| ~ v1_lattice3(U_243)
| ~ v4_orders_2(U_243)
| ~ v3_orders_2(U_243)
| ~ v2_orders_2(U_243)
| ~ l1_orders_2(U_244)
| ~ v3_lattice3(U_244)
| ~ v2_lattice3(U_244)
| ~ v1_lattice3(U_244)
| ~ v4_orders_2(U_244)
| ~ v3_orders_2(U_244)
| ~ v2_orders_2(U_244) ),
inference(clausify,[status(thm)],[f_133_2]) ).
fof(f_134_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_134_2,plain,
! [U_245] :
( U_245 = k1_xboole_0
| ~ v1_xboole_0(U_245) ),
inference(variable_rename,[status(thm)],[f_134_1]) ).
cnf(f_134_3,plain,
( U_245 = k1_xboole_0
| ~ v1_xboole_0(U_245) ),
inference(clausify,[status(thm)],[f_134_2]) ).
fof(f_135_1,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(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(fof_nnf,[status(thm)],[t70_waybel34]) ).
fof(f_135_2,plain,
! [U_248] :
( ! [U_247] :
( ! [U_246] :
( ( ( v3_waybel34(U_246,U_247,U_248)
| ~ m2_relset_1(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),u1_struct_0(k1_waybel_8(U_247)),u1_struct_0(k1_waybel_8(U_248)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),k1_waybel_8(U_247),k1_waybel_8(U_248))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),u1_struct_0(k1_waybel_8(U_247)),u1_struct_0(k1_waybel_8(U_248)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247)))) )
& ( ( m2_relset_1(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),u1_struct_0(k1_waybel_8(U_247)),u1_struct_0(k1_waybel_8(U_248)))
& v4_waybel34(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),k1_waybel_8(U_247),k1_waybel_8(U_248))
& v1_funct_2(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),u1_struct_0(k1_waybel_8(U_247)),u1_struct_0(k1_waybel_8(U_248)))
& v1_funct_1(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247)))) )
| ~ v3_waybel34(U_246,U_247,U_248) ) )
| ~ m2_relset_1(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v18_waybel_0(U_246,U_247,U_248)
| ~ v1_funct_2(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v1_funct_1(U_246) )
| ~ l1_orders_2(U_247)
| ~ v3_lattice3(U_247)
| ~ v2_lattice3(U_247)
| ~ v1_lattice3(U_247)
| ~ v4_orders_2(U_247)
| ~ v3_orders_2(U_247)
| ~ v2_orders_2(U_247) )
| ~ l1_orders_2(U_248)
| ~ v3_lattice3(U_248)
| ~ v2_lattice3(U_248)
| ~ v1_lattice3(U_248)
| ~ v4_orders_2(U_248)
| ~ v3_orders_2(U_248)
| ~ v2_orders_2(U_248) ),
inference(variable_rename,[status(thm)],[f_135_1]) ).
cnf(f_135_3,plain,
( v1_funct_1(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))))
| ~ v3_waybel34(U_246,U_247,U_248)
| ~ m2_relset_1(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v18_waybel_0(U_246,U_247,U_248)
| ~ v1_funct_2(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v1_funct_1(U_246)
| ~ l1_orders_2(U_247)
| ~ v3_lattice3(U_247)
| ~ v2_lattice3(U_247)
| ~ v1_lattice3(U_247)
| ~ v4_orders_2(U_247)
| ~ v3_orders_2(U_247)
| ~ v2_orders_2(U_247)
| ~ l1_orders_2(U_248)
| ~ v3_lattice3(U_248)
| ~ v2_lattice3(U_248)
| ~ v1_lattice3(U_248)
| ~ v4_orders_2(U_248)
| ~ v3_orders_2(U_248)
| ~ v2_orders_2(U_248) ),
inference(clausify,[status(thm)],[f_135_2]) ).
cnf(f_135_4,plain,
( v1_funct_2(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),u1_struct_0(k1_waybel_8(U_247)),u1_struct_0(k1_waybel_8(U_248)))
| ~ v3_waybel34(U_246,U_247,U_248)
| ~ m2_relset_1(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v18_waybel_0(U_246,U_247,U_248)
| ~ v1_funct_2(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v1_funct_1(U_246)
| ~ l1_orders_2(U_247)
| ~ v3_lattice3(U_247)
| ~ v2_lattice3(U_247)
| ~ v1_lattice3(U_247)
| ~ v4_orders_2(U_247)
| ~ v3_orders_2(U_247)
| ~ v2_orders_2(U_247)
| ~ l1_orders_2(U_248)
| ~ v3_lattice3(U_248)
| ~ v2_lattice3(U_248)
| ~ v1_lattice3(U_248)
| ~ v4_orders_2(U_248)
| ~ v3_orders_2(U_248)
| ~ v2_orders_2(U_248) ),
inference(clausify,[status(thm)],[f_135_2]) ).
cnf(f_135_5,plain,
( v4_waybel34(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),k1_waybel_8(U_247),k1_waybel_8(U_248))
| ~ v3_waybel34(U_246,U_247,U_248)
| ~ m2_relset_1(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v18_waybel_0(U_246,U_247,U_248)
| ~ v1_funct_2(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v1_funct_1(U_246)
| ~ l1_orders_2(U_247)
| ~ v3_lattice3(U_247)
| ~ v2_lattice3(U_247)
| ~ v1_lattice3(U_247)
| ~ v4_orders_2(U_247)
| ~ v3_orders_2(U_247)
| ~ v2_orders_2(U_247)
| ~ l1_orders_2(U_248)
| ~ v3_lattice3(U_248)
| ~ v2_lattice3(U_248)
| ~ v1_lattice3(U_248)
| ~ v4_orders_2(U_248)
| ~ v3_orders_2(U_248)
| ~ v2_orders_2(U_248) ),
inference(clausify,[status(thm)],[f_135_2]) ).
cnf(f_135_6,plain,
( m2_relset_1(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),u1_struct_0(k1_waybel_8(U_247)),u1_struct_0(k1_waybel_8(U_248)))
| ~ v3_waybel34(U_246,U_247,U_248)
| ~ m2_relset_1(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v18_waybel_0(U_246,U_247,U_248)
| ~ v1_funct_2(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v1_funct_1(U_246)
| ~ l1_orders_2(U_247)
| ~ v3_lattice3(U_247)
| ~ v2_lattice3(U_247)
| ~ v1_lattice3(U_247)
| ~ v4_orders_2(U_247)
| ~ v3_orders_2(U_247)
| ~ v2_orders_2(U_247)
| ~ l1_orders_2(U_248)
| ~ v3_lattice3(U_248)
| ~ v2_lattice3(U_248)
| ~ v1_lattice3(U_248)
| ~ v4_orders_2(U_248)
| ~ v3_orders_2(U_248)
| ~ v2_orders_2(U_248) ),
inference(clausify,[status(thm)],[f_135_2]) ).
cnf(f_135_7,plain,
( v3_waybel34(U_246,U_247,U_248)
| ~ m2_relset_1(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),u1_struct_0(k1_waybel_8(U_247)),u1_struct_0(k1_waybel_8(U_248)))
| ~ v4_waybel34(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),k1_waybel_8(U_247),k1_waybel_8(U_248))
| ~ v1_funct_2(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))),u1_struct_0(k1_waybel_8(U_247)),u1_struct_0(k1_waybel_8(U_248)))
| ~ v1_funct_1(k8_relset_1(u1_struct_0(U_247),u1_struct_0(U_248),U_246,u1_struct_0(k1_waybel_8(U_247))))
| ~ m2_relset_1(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v18_waybel_0(U_246,U_247,U_248)
| ~ v1_funct_2(U_246,u1_struct_0(U_247),u1_struct_0(U_248))
| ~ v1_funct_1(U_246)
| ~ l1_orders_2(U_247)
| ~ v3_lattice3(U_247)
| ~ v2_lattice3(U_247)
| ~ v1_lattice3(U_247)
| ~ v4_orders_2(U_247)
| ~ v3_orders_2(U_247)
| ~ v2_orders_2(U_247)
| ~ l1_orders_2(U_248)
| ~ v3_lattice3(U_248)
| ~ v2_lattice3(U_248)
| ~ v1_lattice3(U_248)
| ~ v4_orders_2(U_248)
| ~ v3_orders_2(U_248)
| ~ v2_orders_2(U_248) ),
inference(clausify,[status(thm)],[f_135_2]) ).
fof(f_136_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_136_2,plain,
! [U_250,U_249] :
( ~ v1_xboole_0(U_249)
| ~ r2_hidden(U_250,U_249) ),
inference(variable_rename,[status(thm)],[f_136_1]) ).
cnf(f_136_3,plain,
( ~ v1_xboole_0(U_249)
| ~ r2_hidden(U_250,U_249) ),
inference(clausify,[status(thm)],[f_136_2]) ).
fof(f_137_1,plain,
! [A] :
( ( ( v2_waybel_8(A)
| ? [B] :
( ? [C] :
( ! [D] :
( ~ r3_orders_2(A,D,C)
| ~ r3_orders_2(A,B,D)
| ~ r2_hidden(D,u1_struct_0(k1_waybel_8(A)))
| ~ m1_subset_1(D,u1_struct_0(A)) )
& r1_waybel_3(A,B,C)
& m1_subset_1(C,u1_struct_0(A)) )
& m1_subset_1(B,u1_struct_0(A)) )
| ~ v3_waybel_3(A) )
& ( ( ! [B] :
( ! [C] :
( ? [D] :
( r3_orders_2(A,D,C)
& r3_orders_2(A,B,D)
& r2_hidden(D,u1_struct_0(k1_waybel_8(A)))
& m1_subset_1(D,u1_struct_0(A)) )
| ~ r1_waybel_3(A,B,C)
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
& v3_waybel_3(A) )
| ~ v2_waybel_8(A) ) )
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[t7_waybel_8]) ).
fof(f_137_2,plain,
! [U_257] :
( ( ( v2_waybel_8(U_257)
| ? [U_256] :
( ? [U_255] :
( ! [U_254] :
( ~ r3_orders_2(U_257,U_254,U_255)
| ~ r3_orders_2(U_257,U_256,U_254)
| ~ r2_hidden(U_254,u1_struct_0(k1_waybel_8(U_257)))
| ~ m1_subset_1(U_254,u1_struct_0(U_257)) )
& r1_waybel_3(U_257,U_256,U_255)
& m1_subset_1(U_255,u1_struct_0(U_257)) )
& m1_subset_1(U_256,u1_struct_0(U_257)) )
| ~ v3_waybel_3(U_257) )
& ( ( ! [U_253] :
( ! [U_252] :
( ? [U_251] :
( r3_orders_2(U_257,U_251,U_252)
& r3_orders_2(U_257,U_253,U_251)
& r2_hidden(U_251,u1_struct_0(k1_waybel_8(U_257)))
& m1_subset_1(U_251,u1_struct_0(U_257)) )
| ~ r1_waybel_3(U_257,U_253,U_252)
| ~ m1_subset_1(U_252,u1_struct_0(U_257)) )
| ~ m1_subset_1(U_253,u1_struct_0(U_257)) )
& v3_waybel_3(U_257) )
| ~ v2_waybel_8(U_257) ) )
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(variable_rename,[status(thm)],[f_137_1]) ).
fof(f_137_3,plain,
! [U_257] :
( ( ( v2_waybel_8(U_257)
| ? [U_256] :
( ? [U_255] :
( ! [U_254] :
( ~ r3_orders_2(U_257,U_254,U_255)
| ~ r3_orders_2(U_257,U_256,U_254)
| ~ r2_hidden(U_254,u1_struct_0(k1_waybel_8(U_257)))
| ~ m1_subset_1(U_254,u1_struct_0(U_257)) )
& r1_waybel_3(U_257,U_256,U_255)
& m1_subset_1(U_255,u1_struct_0(U_257)) )
& m1_subset_1(U_256,u1_struct_0(U_257)) )
| ~ v3_waybel_3(U_257) )
& ( ( ! [U_253] :
( ! [U_252] :
( ( r3_orders_2(U_257,sK34(U_257,U_253,U_252),U_252)
& r3_orders_2(U_257,U_253,sK34(U_257,U_253,U_252))
& r2_hidden(sK34(U_257,U_253,U_252),u1_struct_0(k1_waybel_8(U_257)))
& m1_subset_1(sK34(U_257,U_253,U_252),u1_struct_0(U_257)) )
| ~ r1_waybel_3(U_257,U_253,U_252)
| ~ m1_subset_1(U_252,u1_struct_0(U_257)) )
| ~ m1_subset_1(U_253,u1_struct_0(U_257)) )
& v3_waybel_3(U_257) )
| ~ v2_waybel_8(U_257) ) )
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_251,sK34(U_257,U_253,U_252))],[f_137_2]) ).
fof(f_137_4,plain,
! [U_257] :
( ( ( v2_waybel_8(U_257)
| ( ? [U_255] :
( ! [U_254] :
( ~ r3_orders_2(U_257,U_254,U_255)
| ~ r3_orders_2(U_257,sK35(U_257),U_254)
| ~ r2_hidden(U_254,u1_struct_0(k1_waybel_8(U_257)))
| ~ m1_subset_1(U_254,u1_struct_0(U_257)) )
& r1_waybel_3(U_257,sK35(U_257),U_255)
& m1_subset_1(U_255,u1_struct_0(U_257)) )
& m1_subset_1(sK35(U_257),u1_struct_0(U_257)) )
| ~ v3_waybel_3(U_257) )
& ( ( ! [U_253] :
( ! [U_252] :
( ( r3_orders_2(U_257,sK34(U_257,U_253,U_252),U_252)
& r3_orders_2(U_257,U_253,sK34(U_257,U_253,U_252))
& r2_hidden(sK34(U_257,U_253,U_252),u1_struct_0(k1_waybel_8(U_257)))
& m1_subset_1(sK34(U_257,U_253,U_252),u1_struct_0(U_257)) )
| ~ r1_waybel_3(U_257,U_253,U_252)
| ~ m1_subset_1(U_252,u1_struct_0(U_257)) )
| ~ m1_subset_1(U_253,u1_struct_0(U_257)) )
& v3_waybel_3(U_257) )
| ~ v2_waybel_8(U_257) ) )
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_256,sK35(U_257))],[f_137_3]) ).
fof(f_137_5,plain,
! [U_257] :
( ( ( v2_waybel_8(U_257)
| ( ! [U_254] :
( ~ r3_orders_2(U_257,U_254,sK36(U_257))
| ~ r3_orders_2(U_257,sK35(U_257),U_254)
| ~ r2_hidden(U_254,u1_struct_0(k1_waybel_8(U_257)))
| ~ m1_subset_1(U_254,u1_struct_0(U_257)) )
& r1_waybel_3(U_257,sK35(U_257),sK36(U_257))
& m1_subset_1(sK36(U_257),u1_struct_0(U_257))
& m1_subset_1(sK35(U_257),u1_struct_0(U_257)) )
| ~ v3_waybel_3(U_257) )
& ( ( ! [U_253] :
( ! [U_252] :
( ( r3_orders_2(U_257,sK34(U_257,U_253,U_252),U_252)
& r3_orders_2(U_257,U_253,sK34(U_257,U_253,U_252))
& r2_hidden(sK34(U_257,U_253,U_252),u1_struct_0(k1_waybel_8(U_257)))
& m1_subset_1(sK34(U_257,U_253,U_252),u1_struct_0(U_257)) )
| ~ r1_waybel_3(U_257,U_253,U_252)
| ~ m1_subset_1(U_252,u1_struct_0(U_257)) )
| ~ m1_subset_1(U_253,u1_struct_0(U_257)) )
& v3_waybel_3(U_257) )
| ~ v2_waybel_8(U_257) ) )
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_255,sK36(U_257))],[f_137_4]) ).
cnf(f_137_6,plain,
( v3_waybel_3(U_257)
| ~ v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
cnf(f_137_7,plain,
( m1_subset_1(sK34(U_257,U_253,U_252),u1_struct_0(U_257))
| ~ r1_waybel_3(U_257,U_253,U_252)
| ~ m1_subset_1(U_252,u1_struct_0(U_257))
| ~ m1_subset_1(U_253,u1_struct_0(U_257))
| ~ v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
cnf(f_137_8,plain,
( r2_hidden(sK34(U_257,U_253,U_252),u1_struct_0(k1_waybel_8(U_257)))
| ~ r1_waybel_3(U_257,U_253,U_252)
| ~ m1_subset_1(U_252,u1_struct_0(U_257))
| ~ m1_subset_1(U_253,u1_struct_0(U_257))
| ~ v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
cnf(f_137_9,plain,
( r3_orders_2(U_257,U_253,sK34(U_257,U_253,U_252))
| ~ r1_waybel_3(U_257,U_253,U_252)
| ~ m1_subset_1(U_252,u1_struct_0(U_257))
| ~ m1_subset_1(U_253,u1_struct_0(U_257))
| ~ v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
cnf(f_137_10,plain,
( r3_orders_2(U_257,sK34(U_257,U_253,U_252),U_252)
| ~ r1_waybel_3(U_257,U_253,U_252)
| ~ m1_subset_1(U_252,u1_struct_0(U_257))
| ~ m1_subset_1(U_253,u1_struct_0(U_257))
| ~ v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
cnf(f_137_11,plain,
( m1_subset_1(sK35(U_257),u1_struct_0(U_257))
| ~ v3_waybel_3(U_257)
| v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
cnf(f_137_12,plain,
( m1_subset_1(sK36(U_257),u1_struct_0(U_257))
| ~ v3_waybel_3(U_257)
| v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
cnf(f_137_13,plain,
( r1_waybel_3(U_257,sK35(U_257),sK36(U_257))
| ~ v3_waybel_3(U_257)
| v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
cnf(f_137_14,plain,
( ~ r3_orders_2(U_257,U_254,sK36(U_257))
| ~ r3_orders_2(U_257,sK35(U_257),U_254)
| ~ r2_hidden(U_254,u1_struct_0(k1_waybel_8(U_257)))
| ~ m1_subset_1(U_254,u1_struct_0(U_257))
| ~ v3_waybel_3(U_257)
| v2_waybel_8(U_257)
| ~ l1_orders_2(U_257)
| ~ v2_lattice3(U_257)
| ~ v1_lattice3(U_257)
| ~ v4_orders_2(U_257)
| ~ v3_orders_2(U_257)
| ~ v2_orders_2(U_257) ),
inference(clausify,[status(thm)],[f_137_5]) ).
fof(f_138_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_138_2,plain,
! [U_259,U_258] :
( ~ v1_xboole_0(U_258)
| U_259 = U_258
| ~ v1_xboole_0(U_259) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
fof(f_138_3,plain,
! [U_259] :
( ! [U_258] :
( ~ v1_xboole_0(U_258)
| U_259 = U_258 )
| ~ v1_xboole_0(U_259) ),
inference(miniscope,[status(thm)],[f_138_2]) ).
cnf(f_138_4,plain,
( ~ v1_xboole_0(U_258)
| U_259 = U_258
| ~ v1_xboole_0(U_259) ),
inference(clausify,[status(thm)],[f_138_3]) ).
cnf(f_1_30_true,negated_conjecture,
$true,
inference(clause_is_true,[status(thm)],[f_1_30]) ).
cnf(f_1_31_true,negated_conjecture,
$true,
inference(clause_is_true,[status(thm)],[f_1_31]) ).
cnf(f_1_32_true,negated_conjecture,
$true,
inference(clause_is_true,[status(thm)],[f_1_32]) ).
cnf(f_1_33_true,negated_conjecture,
$true,
inference(clause_is_true,[status(thm)],[f_1_33]) ).
cnf(f_1_34_true,negated_conjecture,
$true,
inference(clause_is_true,[status(thm)],[f_1_34]) ).
cnf(f_5_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_5_3]) ).
cnf(f_5_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_5_4]) ).
cnf(f_7_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_7_3]) ).
cnf(f_7_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_7_4]) ).
cnf(f_9_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_9_3]) ).
cnf(f_9_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_9_4]) ).
cnf(f_9_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_9_5]) ).
cnf(f_9_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_9_6]) ).
cnf(f_9_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_9_7]) ).
cnf(f_9_10_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_9_10]) ).
cnf(f_10_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_3]) ).
cnf(f_10_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_7]) ).
cnf(f_10_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_8]) ).
cnf(f_12_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_3]) ).
cnf(f_12_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_4]) ).
cnf(f_12_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_5]) ).
cnf(f_14_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_14_3]) ).
cnf(f_14_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_14_4]) ).
cnf(f_14_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_14_5]) ).
cnf(f_14_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_14_7]) ).
cnf(f_25_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_25_4]) ).
cnf(f_25_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_25_5]) ).
cnf(f_26_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_26_3]) ).
cnf(f_26_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_26_4]) ).
cnf(f_27_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_3]) ).
cnf(f_27_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_4]) ).
cnf(f_28_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_4]) ).
cnf(f_28_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_5]) ).
cnf(f_28_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_6]) ).
cnf(f_28_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_7]) ).
cnf(f_28_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_8]) ).
cnf(f_29_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_29_3]) ).
cnf(f_30_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_3]) ).
cnf(f_30_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_4]) ).
cnf(f_30_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_5]) ).
cnf(f_30_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_6]) ).
cnf(f_30_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_8]) ).
cnf(f_30_10_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_10]) ).
cnf(f_30_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_11]) ).
cnf(f_33_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_33_3]) ).
cnf(f_33_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_33_4]) ).
cnf(f_37_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_37_3]) ).
cnf(f_37_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_37_5]) ).
cnf(f_38_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_38_3]) ).
cnf(f_38_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_38_4]) ).
cnf(f_40_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_40_3]) ).
cnf(f_42_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_42_6]) ).
cnf(f_43_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_43_3]) ).
cnf(f_43_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_43_4]) ).
cnf(f_45_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_45_8]) ).
cnf(f_45_9_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_45_9]) ).
cnf(f_45_12_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_45_12]) ).
cnf(f_46_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_46_4]) ).
cnf(f_46_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_46_5]) ).
cnf(f_46_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_46_6]) ).
cnf(f_46_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_46_7]) ).
cnf(f_46_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_46_8]) ).
cnf(f_48_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_48_3]) ).
cnf(f_48_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_48_4]) ).
cnf(f_49_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_49_3]) ).
cnf(f_49_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_49_4]) ).
cnf(f_50_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_50_4]) ).
cnf(f_51_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_51_3]) ).
cnf(f_51_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_51_4]) ).
cnf(f_52_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_52_3]) ).
cnf(f_52_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_52_4]) ).
cnf(f_53_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_53_4]) ).
cnf(f_54_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_54_4]) ).
cnf(f_55_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_55_4]) ).
cnf(f_55_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_55_5]) ).
cnf(f_59_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_59_2]) ).
cnf(f_60_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_60_2]) ).
cnf(f_61_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_61_2]) ).
cnf(f_65_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_65_2]) ).
cnf(f_66_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_66_2]) ).
cnf(f_67_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_67_2]) ).
cnf(f_71_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_71_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( u1_struct_0(Eq_x_0) = u1_struct_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( k1_waybel34(Eq_x_0,Eq_x_1,Eq_x_2) = k1_waybel34(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( k1_waybel_8(Eq_x_0) = k1_waybel_8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( k8_relset_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k8_relset_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( u1_orders_2(Eq_x_0) = u1_orders_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( g1_orders_2(Eq_x_0,Eq_x_1) = g1_orders_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( k1_zfmisc_1(Eq_x_0) = k1_zfmisc_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( k2_zfmisc_1(Eq_x_0,Eq_x_1) = k2_zfmisc_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( k7_relat_1(Eq_x_0,Eq_x_1) = k7_relat_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( sK6(Eq_x_0,Eq_x_1) = sK6(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( sK9(Eq_x_0,Eq_x_1) = sK9(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( sK14(Eq_x_0,Eq_x_1) = sK14(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( sK16(Eq_x_0,Eq_x_1) = sK16(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( sK19(Eq_x_0,Eq_x_1) = sK19(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( sK22(Eq_x_0) = sK22(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( sK25(Eq_x_0,Eq_x_1) = sK25(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( sK26(Eq_x_0) = sK26(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( sK27(Eq_x_0,Eq_x_1) = sK27(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( sK28(Eq_x_0) = sK28(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( sK29(Eq_x_0,Eq_x_1) = sK29(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( sK30(Eq_x_0) = sK30(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( sK31(Eq_x_0,Eq_x_1) = sK31(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( sK32(Eq_x_0) = sK32(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( sK33(Eq_x_0,Eq_x_1) = sK33(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( sK34(Eq_x_0,Eq_x_1,Eq_x_2) = sK34(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( sK35(Eq_x_0) = sK35(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( sK36(Eq_x_0) = sK36(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( v2_orders_2(Eq_y_0)
| ~ v2_orders_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_34,axiom,
( v3_orders_2(Eq_y_0)
| ~ v3_orders_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_35,axiom,
( v4_orders_2(Eq_y_0)
| ~ v4_orders_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_36,axiom,
( v1_lattice3(Eq_y_0)
| ~ v1_lattice3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_37,axiom,
( v2_lattice3(Eq_y_0)
| ~ v2_lattice3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,axiom,
( v3_lattice3(Eq_y_0)
| ~ v3_lattice3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_39,axiom,
( l1_orders_2(Eq_y_0)
| ~ l1_orders_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,axiom,
( v2_waybel_8(Eq_y_0)
| ~ v2_waybel_8(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_41,axiom,
( v1_funct_1(Eq_y_0)
| ~ v1_funct_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_42,axiom,
( v1_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( v17_waybel_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v17_waybel_0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( m2_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m2_relset_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( v22_waybel_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v22_waybel_0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,axiom,
( v4_waybel34(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v4_waybel34(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_47,axiom,
( v1_orders_2(Eq_y_0)
| ~ v1_orders_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_48,axiom,
( r2_hidden(Eq_y_0,Eq_y_1)
| ~ r2_hidden(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_49,axiom,
( v1_membered(Eq_y_0)
| ~ v1_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_50,axiom,
( m1_subset_1(Eq_y_0,Eq_y_1)
| ~ m1_subset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,axiom,
( v1_xcmplx_0(Eq_y_0)
| ~ v1_xcmplx_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_52,axiom,
( v3_struct_0(Eq_y_0)
| ~ v3_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,axiom,
( v24_waybel_0(Eq_y_0)
| ~ v24_waybel_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_54,axiom,
( v25_waybel_0(Eq_y_0)
| ~ v25_waybel_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_55,axiom,
( v2_membered(Eq_y_0)
| ~ v2_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_56,axiom,
( v1_xreal_0(Eq_y_0)
| ~ v1_xreal_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_57,axiom,
( v1_yellow_0(Eq_y_0)
| ~ v1_yellow_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_58,axiom,
( v3_membered(Eq_y_0)
| ~ v3_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_59,axiom,
( v1_rat_1(Eq_y_0)
| ~ v1_rat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_60,axiom,
( v2_yellow_0(Eq_y_0)
| ~ v2_yellow_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_61,axiom,
( v3_yellow_0(Eq_y_0)
| ~ v3_yellow_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_62,axiom,
( m1_yellow_0(Eq_y_0,Eq_y_1)
| ~ m1_yellow_0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_63,axiom,
( v4_yellow_0(Eq_y_0,Eq_y_1)
| ~ v4_yellow_0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_64,axiom,
( v6_yellow_0(Eq_y_0,Eq_y_1)
| ~ v6_yellow_0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_65,axiom,
( v4_membered(Eq_y_0)
| ~ v4_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_66,axiom,
( v1_int_1(Eq_y_0)
| ~ v1_int_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_67,axiom,
( v5_membered(Eq_y_0)
| ~ v5_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_68,axiom,
( v4_ordinal2(Eq_y_0)
| ~ v4_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_69,axiom,
( v1_xboole_0(Eq_y_0)
| ~ v1_xboole_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_70,axiom,
( v1_finset_1(Eq_y_0)
| ~ v1_finset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_71,axiom,
( v1_relat_1(Eq_y_0)
| ~ v1_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_72,axiom,
( m1_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_relset_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_73,axiom,
( v5_orders_3(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v5_orders_3(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_74,axiom,
( v1_partfun1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_partfun1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_75,axiom,
( v19_waybel_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v19_waybel_0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_76,axiom,
( v18_waybel_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v18_waybel_0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_77,axiom,
( v5_waybel34(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v5_waybel34(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_78,axiom,
( v2_waybel_3(Eq_y_0)
| ~ v2_waybel_3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_79,axiom,
( v3_waybel_3(Eq_y_0)
| ~ v3_waybel_3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_80,axiom,
( v2_funct_1(Eq_y_0)
| ~ v2_funct_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_81,axiom,
( v6_waybel34(Eq_y_0,Eq_y_1)
| ~ v6_waybel34(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_82,axiom,
( v7_waybel34(Eq_y_0,Eq_y_1)
| ~ v7_waybel34(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_83,axiom,
( v5_waybel_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v5_waybel_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_84,axiom,
( v20_waybel_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v20_waybel_0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_85,axiom,
( v1_waybel_8(Eq_y_0)
| ~ v1_waybel_8(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_86,axiom,
( v21_waybel_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v21_waybel_0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_87,axiom,
( l1_struct_0(Eq_y_0)
| ~ l1_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_88,axiom,
( r3_orders_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ r3_orders_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_89,axiom,
( r1_orders_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ r1_orders_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_90,axiom,
( r1_tarski(Eq_y_0,Eq_y_1)
| ~ r1_tarski(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_91,axiom,
( v1_waybel34(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_waybel34(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_92,axiom,
( v3_waybel34(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v3_waybel34(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_93,axiom,
( r1_waybel_3(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ r1_waybel_3(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT380+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 13:50:08 UTC 2026
% 0.09/0.37 % CPUTime :
% 165.16/165.42 % SZS status Theorem for theBenchmark
% 165.16/165.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------