%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT370+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:48:24 AM UTC 2026
% Result : Theorem 238.93s 239.23s
% Output : Proof 239.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t43_waybel34,conjecture,
! [A] :
( ( l1_orders_2(A)
& v3_waybel_3(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
=> v4_waybel_0(k2_yellow_2(A,A,B),A) ) ) ),
file('theBenchmark.p',t43_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(cc11_yellow_0,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( ( v5_yellow_0(B,A)
& v4_yellow_0(B,A)
& ~ v3_struct_0(B) )
=> ( v5_yellow_0(B,A)
& v4_yellow_0(B,A)
& v2_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& ~ v3_struct_0(B) ) ) ) ),
file('theBenchmark.p',cc11_yellow_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(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_waybel10,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
=> ( ( v6_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v5_orders_3(B,A,A)
& v11_quantal1(B)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B) ) ) ) ),
file('theBenchmark.p',cc1_waybel10) ).
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_waybel_0,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v7_yellow_0(B,A)
=> v3_waybel_0(B,A) ) ) ),
file('theBenchmark.p',cc1_waybel_0) ).
fof(cc1_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))
=> ( ( v4_waybel_1(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)
& v17_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',cc1_waybel_1) ).
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_waybel10,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] :
( m1_yellow_0(B,A)
=> ( v7_yellow_0(B,A)
=> ~ v3_struct_0(B) ) ) ),
file('theBenchmark.p',cc2_waybel10) ).
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(cc3_membered,axiom,
! [A] :
( v3_membered(A)
=> v2_membered(A) ),
file('theBenchmark.p',cc3_membered) ).
fof(cc3_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
=> ( ( v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B) ) ) ) ),
file('theBenchmark.p',cc3_waybel_1) ).
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_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
=> ( ( v8_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B) ) ) ) ),
file('theBenchmark.p',cc4_waybel_1) ).
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_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_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_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_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))
=> ( ( v23_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))
& v2_funct_1(C)
& v1_funct_1(C) ) ) ) ),
file('theBenchmark.p',cc8_waybel_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(cc9_yellow_0,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v7_yellow_0(B,A)
=> v5_yellow_0(B,A) ) ) ),
file('theBenchmark.p',cc9_yellow_0) ).
fof(d16_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_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) )
=> k2_waybel_1(A,B,C) = k8_relat_1(u1_struct_0(k2_yellow_2(A,B,C)),C) ) ) ),
file('theBenchmark.p',d16_waybel_1) ).
fof(d17_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_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) )
=> k3_waybel_1(A,B,C) = k7_grcat_1(k2_yellow_2(A,B,C)) ) ) ),
file('theBenchmark.p',d17_waybel_1) ).
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_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_waybel34,axiom,
! [A,B,C] :
( ( m1_relset_1(C,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& 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(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(k2_waybel34(A,B,C)) ) ),
file('theBenchmark.p',dt_k2_waybel34) ).
fof(dt_k2_waybel_1,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)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v1_funct_1(k2_waybel_1(A,B,C)) ) ),
file('theBenchmark.p',dt_k2_waybel_1) ).
fof(dt_k2_yellow_2,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)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( m1_yellow_0(k2_yellow_2(A,B,C),B)
& v4_yellow_0(k2_yellow_2(A,B,C),B)
& v1_orders_2(k2_yellow_2(A,B,C)) ) ),
file('theBenchmark.p',dt_k2_yellow_2) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k2_zfmisc_1) ).
fof(dt_k3_waybel_1,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)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_1(k3_waybel_1(A,B,C)) ) ),
file('theBenchmark.p',dt_k3_waybel_1) ).
fof(dt_k7_grcat_1,axiom,
! [A] :
( l1_struct_0(A)
=> ( m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',dt_k7_grcat_1) ).
fof(dt_k8_relat_1,axiom,
! [A,B] :
( v1_relat_1(B)
=> v1_relat_1(k8_relat_1(A,B)) ),
file('theBenchmark.p',dt_k8_relat_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_waybel10,axiom,
! [A,B] :
( ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B)
& l1_orders_2(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v3_waybel_0(k2_yellow_2(A,A,B),A)
& v7_yellow_0(k2_yellow_2(A,A,B),A)
& v5_yellow_0(k2_yellow_2(A,A,B),A)
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) ) ),
file('theBenchmark.p',fc10_waybel10) ).
fof(fc10_waybel34,axiom,
! [A,B] :
( ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v6_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(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) )
=> ( v3_lattice3(k2_yellow_2(A,A,B))
& v2_lattice3(k2_yellow_2(A,A,B))
& v1_lattice3(k2_yellow_2(A,A,B))
& v25_waybel_0(k2_yellow_2(A,A,B))
& v24_waybel_0(k2_yellow_2(A,A,B))
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v3_yellow_0(k2_yellow_2(A,A,B))
& v2_yellow_0(k2_yellow_2(A,A,B))
& v1_yellow_0(k2_yellow_2(A,A,B))
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) ) ),
file('theBenchmark.p',fc10_waybel34) ).
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(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(fc15_waybel10,axiom,
! [A,B] :
( ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v22_waybel_0(B,A,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(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) )
=> ( v4_waybel_0(k2_yellow_2(A,A,B),A)
& v3_waybel_0(k2_yellow_2(A,A,B),A)
& v7_yellow_0(k2_yellow_2(A,A,B),A)
& v5_yellow_0(k2_yellow_2(A,A,B),A)
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v2_lattice3(k2_yellow_2(A,A,B))
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) ) ),
file('theBenchmark.p',fc15_waybel10) ).
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(fc2_waybel10,axiom,
! [A,B,C] :
( ( m1_relset_1(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)
& l1_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v5_orders_3(k2_waybel_1(A,B,C),A,k2_yellow_2(A,B,C))
& v1_partfun1(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v2_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& ~ v1_xboole_0(k2_waybel_1(A,B,C))
& v1_funct_1(k2_waybel_1(A,B,C))
& v1_relat_1(k2_waybel_1(A,B,C)) ) ),
file('theBenchmark.p',fc2_waybel10) ).
fof(fc2_waybel34,axiom,
! [A,B,C] :
( ( m1_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) )
=> ( v5_orders_3(k2_waybel34(A,B,C),A,B)
& v4_waybel_1(k2_waybel34(A,B,C),A,B)
& v21_waybel_0(k2_waybel34(A,B,C),A,B)
& v19_waybel_0(k2_waybel34(A,B,C),A,B)
& v17_waybel_0(k2_waybel34(A,B,C),A,B)
& v1_partfun1(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& ~ v1_xboole_0(k2_waybel34(A,B,C))
& v1_funct_1(k2_waybel34(A,B,C))
& v1_relat_1(k2_waybel34(A,B,C)) ) ),
file('theBenchmark.p',fc2_waybel34) ).
fof(fc2_waybel_1,axiom,
! [A] :
( l1_orders_2(A)
=> ( v23_waybel_0(k7_grcat_1(A),A,A)
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc2_waybel_1) ).
fof(fc2_yellow_2,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)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v4_yellow_0(k2_yellow_2(A,B,C),B)
& v1_orders_2(k2_yellow_2(A,B,C))
& ~ v3_struct_0(k2_yellow_2(A,B,C)) ) ),
file('theBenchmark.p',fc2_yellow_2) ).
fof(fc3_waybel10,axiom,
! [A] :
( l1_struct_0(A)
=> ( v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc3_waybel10) ).
fof(fc3_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc3_waybel_1) ).
fof(fc4_waybel10,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v8_waybel_1(k7_grcat_1(A),A)
& v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v22_waybel_0(k7_grcat_1(A),A,A)
& v21_waybel_0(k7_grcat_1(A),A,A)
& v20_waybel_0(k7_grcat_1(A),A,A)
& v19_waybel_0(k7_grcat_1(A),A,A)
& v18_waybel_0(k7_grcat_1(A),A,A)
& v17_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v11_quantal1(k7_grcat_1(A))
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc4_waybel10) ).
fof(fc4_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc4_waybel_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_funct_1,axiom,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
=> ( v1_funct_1(k8_relat_1(A,B))
& v1_relat_1(k8_relat_1(A,B)) ) ),
file('theBenchmark.p',fc5_funct_1) ).
fof(fc5_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v8_waybel_1(k7_grcat_1(A),A)
& v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) ) ),
file('theBenchmark.p',fc5_waybel_1) ).
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_1,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)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v2_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& ~ v1_xboole_0(k2_waybel_1(A,B,C))
& v1_funct_1(k2_waybel_1(A,B,C))
& v1_relat_1(k2_waybel_1(A,B,C)) ) ),
file('theBenchmark.p',fc6_waybel_1) ).
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_1,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)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v5_orders_3(k3_waybel_1(A,B,C),k2_yellow_2(A,B,C),B)
& v1_partfun1(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& ~ v1_xboole_0(k3_waybel_1(A,B,C))
& v2_funct_1(k3_waybel_1(A,B,C))
& v1_funct_1(k3_waybel_1(A,B,C))
& v1_relat_1(k3_waybel_1(A,B,C)) ) ),
file('theBenchmark.p',fc7_waybel_1) ).
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_waybel34,axiom,
! [A,B,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)
& 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) )
=> ( v3_lattice3(k2_yellow_2(A,B,C))
& v2_lattice3(k2_yellow_2(A,B,C))
& v1_lattice3(k2_yellow_2(A,B,C))
& v25_waybel_0(k2_yellow_2(A,B,C))
& v24_waybel_0(k2_yellow_2(A,B,C))
& v4_yellow_0(k2_yellow_2(A,B,C),B)
& v3_yellow_0(k2_yellow_2(A,B,C))
& v2_yellow_0(k2_yellow_2(A,B,C))
& v1_yellow_0(k2_yellow_2(A,B,C))
& v4_orders_2(k2_yellow_2(A,B,C))
& v3_orders_2(k2_yellow_2(A,B,C))
& v2_orders_2(k2_yellow_2(A,B,C))
& v1_orders_2(k2_yellow_2(A,B,C))
& ~ v3_struct_0(k2_yellow_2(A,B,C)) ) ),
file('theBenchmark.p',fc9_waybel34) ).
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(rc1_waybel21,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] :
( v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v25_waybel_0(B)
& v24_waybel_0(B)
& v4_waybel_0(B,A)
& v3_waybel_0(B,A)
& v7_yellow_0(B,A)
& v5_yellow_0(B,A)
& v4_yellow_0(B,A)
& v3_yellow_0(B)
& v2_yellow_0(B)
& v1_yellow_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& m1_yellow_0(B,A) ) ),
file('theBenchmark.p',rc1_waybel21) ).
fof(rc1_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) ) ),
file('theBenchmark.p',rc1_waybel_1) ).
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_waybel10,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v8_waybel_1(B,A)
& v7_waybel_1(B,A)
& v6_waybel_1(B,A)
& v22_waybel_0(B,A,A)
& v21_waybel_0(B,A,A)
& v20_waybel_0(B,A,A)
& v19_waybel_0(B,A,A)
& v18_waybel_0(B,A,A)
& v17_waybel_0(B,A,A)
& v5_orders_3(B,A,A)
& v11_quantal1(B)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v2_funct_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) ) ),
file('theBenchmark.p',rc2_waybel10) ).
fof(rc2_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v7_waybel_1(B,A)
& v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) ) ),
file('theBenchmark.p',rc2_waybel_1) ).
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_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v8_waybel_1(B,A)
& v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) ) ),
file('theBenchmark.p',rc3_waybel_1) ).
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_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(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(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('theBenchmark.p',t1_subset) ).
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(t39_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] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( k1_waybel34(k2_yellow_2(A,A,B),A,k3_waybel_1(A,A,B)) = k2_waybel_1(A,A,B)
& k2_waybel34(k2_yellow_2(A,A,B),A,k2_waybel_1(A,A,B)) = k3_waybel_1(A,A,B)
& v17_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
& v18_waybel_0(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B)) ) ) ),
file('theBenchmark.p',t39_waybel34) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('theBenchmark.p',t3_subset) ).
fof(t40_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] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v4_waybel_0(k2_yellow_2(A,A,B),A)
<=> v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A) ) ) ),
file('theBenchmark.p',t40_waybel34) ).
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(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('theBenchmark.p',t6_boole) ).
fof(t7_boole,axiom,
! [A,B] :
~ ( v1_xboole_0(B)
& r2_hidden(A,B) ),
file('theBenchmark.p',t7_boole) ).
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_waybel_3(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
=> ( v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
=> v4_waybel_0(k2_yellow_2(A,A,B),A) ) ) ),
inference(negate,[status(cth)],[t43_waybel34]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ? [B] :
( ~ v4_waybel_0(k2_yellow_2(A,A,B),A)
& v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(B) )
& l1_orders_2(A)
& v3_waybel_3(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_1] :
( ? [U_0] :
( ~ v4_waybel_0(k2_yellow_2(U_1,U_1,U_0),U_1)
& v1_waybel34(k2_waybel_1(U_1,U_1,U_0),U_1,k2_yellow_2(U_1,U_1,U_0))
& m2_relset_1(U_0,u1_struct_0(U_1),u1_struct_0(U_1))
& v7_waybel_1(U_0,U_1)
& v1_funct_2(U_0,u1_struct_0(U_1),u1_struct_0(U_1))
& v1_funct_1(U_0) )
& l1_orders_2(U_1)
& v3_waybel_3(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) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_0] :
( ~ v4_waybel_0(k2_yellow_2(sK1,sK1,U_0),sK1)
& v1_waybel34(k2_waybel_1(sK1,sK1,U_0),sK1,k2_yellow_2(sK1,sK1,U_0))
& m2_relset_1(U_0,u1_struct_0(sK1),u1_struct_0(sK1))
& v7_waybel_1(U_0,sK1)
& v1_funct_2(U_0,u1_struct_0(sK1),u1_struct_0(sK1))
& v1_funct_1(U_0) )
& l1_orders_2(sK1)
& v3_waybel_3(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_1,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ~ v4_waybel_0(k2_yellow_2(sK1,sK1,sK2),sK1)
& v1_waybel34(k2_waybel_1(sK1,sK1,sK2),sK1,k2_yellow_2(sK1,sK1,sK2))
& m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
& v7_waybel_1(sK2,sK1)
& v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
& v1_funct_1(sK2)
& l1_orders_2(sK1)
& v3_waybel_3(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_0,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ~ v4_waybel_0(k2_yellow_2(sK1,sK1,sK2),sK1)
& v1_waybel34(k2_waybel_1(sK1,sK1,sK2),sK1,k2_yellow_2(sK1,sK1,sK2))
& m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
& v7_waybel_1(sK2,sK1)
& v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
& v1_funct_1(sK2)
& l1_orders_2(sK1)
& v3_waybel_3(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(definitional_conversion,[status(esa)],[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,
v3_waybel_3(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_14,negated_conjecture,
l1_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_15,negated_conjecture,
v1_funct_1(sK2),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_16,negated_conjecture,
v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1)),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_17,negated_conjecture,
v7_waybel_1(sK2,sK1),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_18,negated_conjecture,
m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_19,negated_conjecture,
v1_waybel34(k2_waybel_1(sK1,sK1,sK2),sK1,k2_yellow_2(sK1,sK1,sK2)),
inference(clausify,[status(thm)],[f_1_6]) ).
cnf(f_1_20,negated_conjecture,
~ v4_waybel_0(k2_yellow_2(sK1,sK1,sK2),sK1),
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_2] :
( U_2 = g1_orders_2(u1_struct_0(U_2),u1_orders_2(U_2))
| ~ v1_orders_2(U_2)
| ~ l1_orders_2(U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_2] :
( U_2 = g1_orders_2(u1_struct_0(U_2),u1_orders_2(U_2))
| ~ v1_orders_2(U_2)
| ~ l1_orders_2(U_2) ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( U_2 = g1_orders_2(u1_struct_0(U_2),u1_orders_2(U_2))
| ~ v1_orders_2(U_2)
| ~ l1_orders_2(U_2) ),
inference(clausify,[status(thm)],[f_2_3]) ).
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_4,U_3] :
( ~ r2_hidden(U_3,U_4)
| ~ r2_hidden(U_4,U_3) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_3,U_4] :
( ~ r2_hidden(U_3,U_4)
| ~ r2_hidden(U_4,U_3) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( ~ r2_hidden(U_3,U_4)
| ~ r2_hidden(U_4,U_3) ),
inference(clausify,[status(thm)],[f_3_3]) ).
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_6] :
( ! [U_5] :
( v1_xcmplx_0(U_5)
| ~ m1_subset_1(U_5,U_6) )
| ~ v1_membered(U_6) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
! [U_5,U_6] :
( v1_xcmplx_0(U_5)
| ~ m1_subset_1(U_5,U_6)
| ~ v1_membered(U_6) ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( v1_xcmplx_0(U_5)
| ~ m1_subset_1(U_5,U_6)
| ~ v1_membered(U_6) ),
inference(clausify,[status(thm)],[f_4_3]) ).
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_7] :
( ( v25_waybel_0(U_7)
& v24_waybel_0(U_7)
& v2_orders_2(U_7)
& ~ v3_struct_0(U_7) )
| ~ v3_lattice3(U_7)
| ~ v2_orders_2(U_7)
| v3_struct_0(U_7)
| ~ l1_orders_2(U_7) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_7] :
( v25_waybel_0(U_7)
| ~ sP0(U_7) )
& ! [U_7] :
( v24_waybel_0(U_7)
| ~ sP0(U_7) )
& ! [U_7] :
( v2_orders_2(U_7)
| ~ sP0(U_7) )
& ! [U_7] :
( ~ v3_struct_0(U_7)
| ~ sP0(U_7) )
& ! [U_7] :
( sP0(U_7)
| ~ v3_lattice3(U_7)
| ~ v2_orders_2(U_7)
| v3_struct_0(U_7)
| ~ l1_orders_2(U_7) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_5_2]) ).
cnf(f_5_4,plain,
( sP0(U_7)
| ~ v3_lattice3(U_7)
| ~ v2_orders_2(U_7)
| v3_struct_0(U_7)
| ~ l1_orders_2(U_7) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_5,plain,
( ~ v3_struct_0(U_7)
| ~ sP0(U_7) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_6,plain,
( v2_orders_2(U_7)
| ~ sP0(U_7) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_7,plain,
( v24_waybel_0(U_7)
| ~ sP0(U_7) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_8,plain,
( v25_waybel_0(U_7)
| ~ sP0(U_7) ),
inference(clausify,[status(thm)],[f_5_3]) ).
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_9] :
( ! [U_8] :
( ( v1_xreal_0(U_8)
& v1_xcmplx_0(U_8) )
| ~ m1_subset_1(U_8,U_9) )
| ~ v2_membered(U_9) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_8] :
( v1_xreal_0(U_8)
| ~ sP1(U_8) )
& ! [U_8] :
( v1_xcmplx_0(U_8)
| ~ sP1(U_8) )
& ! [U_8,U_9] :
( sP1(U_8)
| ~ m1_subset_1(U_8,U_9)
| ~ v2_membered(U_9) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_6_2]) ).
cnf(f_6_4,plain,
( sP1(U_8)
| ~ m1_subset_1(U_8,U_9)
| ~ v2_membered(U_9) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_5,plain,
( v1_xcmplx_0(U_8)
| ~ sP1(U_8) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_6,plain,
( v1_xreal_0(U_8)
| ~ sP1(U_8) ),
inference(clausify,[status(thm)],[f_6_3]) ).
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_10] :
( ( v1_yellow_0(U_10)
& v2_orders_2(U_10)
& ~ v3_struct_0(U_10) )
| ~ v25_waybel_0(U_10)
| ~ v2_orders_2(U_10)
| v3_struct_0(U_10)
| ~ l1_orders_2(U_10) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_10] :
( v1_yellow_0(U_10)
| ~ sP2(U_10) )
& ! [U_10] :
( v2_orders_2(U_10)
| ~ sP2(U_10) )
& ! [U_10] :
( ~ v3_struct_0(U_10)
| ~ sP2(U_10) )
& ! [U_10] :
( sP2(U_10)
| ~ v25_waybel_0(U_10)
| ~ v2_orders_2(U_10)
| v3_struct_0(U_10)
| ~ l1_orders_2(U_10) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_7_2]) ).
cnf(f_7_4,plain,
( sP2(U_10)
| ~ v25_waybel_0(U_10)
| ~ v2_orders_2(U_10)
| v3_struct_0(U_10)
| ~ l1_orders_2(U_10) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( ~ v3_struct_0(U_10)
| ~ sP2(U_10) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_6,plain,
( v2_orders_2(U_10)
| ~ sP2(U_10) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_7,plain,
( v1_yellow_0(U_10)
| ~ sP2(U_10) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [A] :
( ! [B] :
( ( v5_yellow_0(B,A)
& v4_yellow_0(B,A)
& v2_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& ~ v3_struct_0(B) )
| ~ v5_yellow_0(B,A)
| ~ v4_yellow_0(B,A)
| v3_struct_0(B)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc11_yellow_0]) ).
fof(f_8_2,plain,
! [U_12] :
( ! [U_11] :
( ( v5_yellow_0(U_11,U_12)
& v4_yellow_0(U_11,U_12)
& v2_lattice3(U_11)
& v4_orders_2(U_11)
& v3_orders_2(U_11)
& ~ v3_struct_0(U_11) )
| ~ v5_yellow_0(U_11,U_12)
| ~ v4_yellow_0(U_11,U_12)
| v3_struct_0(U_11)
| ~ m1_yellow_0(U_11,U_12) )
| ~ l1_orders_2(U_12)
| ~ v2_lattice3(U_12)
| ~ v4_orders_2(U_12)
| ~ v3_orders_2(U_12) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_11,U_12] :
( v5_yellow_0(U_11,U_12)
| ~ sP3(U_11,U_12) )
& ! [U_11,U_12] :
( v4_yellow_0(U_11,U_12)
| ~ sP3(U_11,U_12) )
& ! [U_11,U_12] :
( v2_lattice3(U_11)
| ~ sP3(U_11,U_12) )
& ! [U_11,U_12] :
( v4_orders_2(U_11)
| ~ sP3(U_11,U_12) )
& ! [U_11,U_12] :
( v3_orders_2(U_11)
| ~ sP3(U_11,U_12) )
& ! [U_11,U_12] :
( ~ v3_struct_0(U_11)
| ~ sP3(U_11,U_12) )
& ! [U_11,U_12] :
( sP3(U_11,U_12)
| ~ v5_yellow_0(U_11,U_12)
| ~ v4_yellow_0(U_11,U_12)
| v3_struct_0(U_11)
| ~ m1_yellow_0(U_11,U_12)
| ~ l1_orders_2(U_12)
| ~ v2_lattice3(U_12)
| ~ v4_orders_2(U_12)
| ~ v3_orders_2(U_12) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_8_2]) ).
cnf(f_8_4,plain,
( sP3(U_11,U_12)
| ~ v5_yellow_0(U_11,U_12)
| ~ v4_yellow_0(U_11,U_12)
| v3_struct_0(U_11)
| ~ m1_yellow_0(U_11,U_12)
| ~ l1_orders_2(U_12)
| ~ v2_lattice3(U_12)
| ~ v4_orders_2(U_12)
| ~ v3_orders_2(U_12) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_5,plain,
( ~ v3_struct_0(U_11)
| ~ sP3(U_11,U_12) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_6,plain,
( v3_orders_2(U_11)
| ~ sP3(U_11,U_12) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_7,plain,
( v4_orders_2(U_11)
| ~ sP3(U_11,U_12) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_8,plain,
( v2_lattice3(U_11)
| ~ sP3(U_11,U_12) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_9,plain,
( v4_yellow_0(U_11,U_12)
| ~ sP3(U_11,U_12) ),
inference(clausify,[status(thm)],[f_8_3]) ).
cnf(f_8_10,plain,
( v5_yellow_0(U_11,U_12)
| ~ sP3(U_11,U_12) ),
inference(clausify,[status(thm)],[f_8_3]) ).
fof(f_9_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_9_2,plain,
! [U_14] :
( ! [U_13] :
( ( v1_rat_1(U_13)
& v1_xreal_0(U_13)
& v1_xcmplx_0(U_13) )
| ~ m1_subset_1(U_13,U_14) )
| ~ v3_membered(U_14) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_13] :
( v1_rat_1(U_13)
| ~ sP4(U_13) )
& ! [U_13] :
( v1_xreal_0(U_13)
| ~ sP4(U_13) )
& ! [U_13] :
( v1_xcmplx_0(U_13)
| ~ sP4(U_13) )
& ! [U_13,U_14] :
( sP4(U_13)
| ~ m1_subset_1(U_13,U_14)
| ~ v3_membered(U_14) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_9_2]) ).
cnf(f_9_4,plain,
( sP4(U_13)
| ~ m1_subset_1(U_13,U_14)
| ~ v3_membered(U_14) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_5,plain,
( v1_xcmplx_0(U_13)
| ~ sP4(U_13) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_6,plain,
( v1_xreal_0(U_13)
| ~ sP4(U_13) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_7,plain,
( v1_rat_1(U_13)
| ~ sP4(U_13) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_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_10_2,plain,
! [U_15] :
( ( v3_yellow_0(U_15)
& v2_yellow_0(U_15)
& v1_yellow_0(U_15)
& v3_lattice3(U_15)
& v2_lattice3(U_15)
& v1_lattice3(U_15)
& v4_orders_2(U_15)
& v3_orders_2(U_15)
& v2_orders_2(U_15)
& ~ v3_struct_0(U_15) )
| ~ v24_waybel_0(U_15)
| ~ v1_yellow_0(U_15)
| ~ v1_lattice3(U_15)
| ~ v4_orders_2(U_15)
| ~ v3_orders_2(U_15)
| ~ v2_orders_2(U_15)
| v3_struct_0(U_15)
| ~ l1_orders_2(U_15) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_15] :
( v3_yellow_0(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( v2_yellow_0(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( v1_yellow_0(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( v3_lattice3(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( v2_lattice3(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( v1_lattice3(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( v4_orders_2(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( v3_orders_2(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( v2_orders_2(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( ~ v3_struct_0(U_15)
| ~ sP5(U_15) )
& ! [U_15] :
( sP5(U_15)
| ~ v24_waybel_0(U_15)
| ~ v1_yellow_0(U_15)
| ~ v1_lattice3(U_15)
| ~ v4_orders_2(U_15)
| ~ v3_orders_2(U_15)
| ~ v2_orders_2(U_15)
| v3_struct_0(U_15)
| ~ l1_orders_2(U_15) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP5])],[f_10_2]) ).
cnf(f_10_4,plain,
( sP5(U_15)
| ~ v24_waybel_0(U_15)
| ~ v1_yellow_0(U_15)
| ~ v1_lattice3(U_15)
| ~ v4_orders_2(U_15)
| ~ v3_orders_2(U_15)
| ~ v2_orders_2(U_15)
| v3_struct_0(U_15)
| ~ l1_orders_2(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( ~ v3_struct_0(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_6,plain,
( v2_orders_2(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_7,plain,
( v3_orders_2(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_8,plain,
( v4_orders_2(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_9,plain,
( v1_lattice3(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_10,plain,
( v2_lattice3(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_11,plain,
( v3_lattice3(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_12,plain,
( v1_yellow_0(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_13,plain,
( v2_yellow_0(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_14,plain,
( v3_yellow_0(U_15)
| ~ sP5(U_15) ),
inference(clausify,[status(thm)],[f_10_3]) ).
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_17] :
( ! [U_16] :
( ( v1_rat_1(U_16)
& v1_int_1(U_16)
& v1_xreal_0(U_16)
& v1_xcmplx_0(U_16) )
| ~ m1_subset_1(U_16,U_17) )
| ~ v4_membered(U_17) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_16] :
( v1_rat_1(U_16)
| ~ sP6(U_16) )
& ! [U_16] :
( v1_int_1(U_16)
| ~ sP6(U_16) )
& ! [U_16] :
( v1_xreal_0(U_16)
| ~ sP6(U_16) )
& ! [U_16] :
( v1_xcmplx_0(U_16)
| ~ sP6(U_16) )
& ! [U_17,U_16] :
( sP6(U_16)
| ~ m1_subset_1(U_16,U_17)
| ~ v4_membered(U_17) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP6])],[f_11_2]) ).
cnf(f_11_4,plain,
( sP6(U_16)
| ~ m1_subset_1(U_16,U_17)
| ~ v4_membered(U_17) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_5,plain,
( v1_xcmplx_0(U_16)
| ~ sP6(U_16) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_6,plain,
( v1_xreal_0(U_16)
| ~ sP6(U_16) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_7,plain,
( v1_int_1(U_16)
| ~ sP6(U_16) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_8,plain,
( v1_rat_1(U_16)
| ~ sP6(U_16) ),
inference(clausify,[status(thm)],[f_11_3]) ).
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_18] :
( ( v2_lattice3(U_18)
& v4_orders_2(U_18)
& v2_orders_2(U_18)
& ~ v3_struct_0(U_18) )
| ~ v25_waybel_0(U_18)
| ~ v4_orders_2(U_18)
| ~ v2_orders_2(U_18)
| v3_struct_0(U_18)
| ~ l1_orders_2(U_18) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_18] :
( v2_lattice3(U_18)
| ~ sP7(U_18) )
& ! [U_18] :
( v4_orders_2(U_18)
| ~ sP7(U_18) )
& ! [U_18] :
( v2_orders_2(U_18)
| ~ sP7(U_18) )
& ! [U_18] :
( ~ v3_struct_0(U_18)
| ~ sP7(U_18) )
& ! [U_18] :
( sP7(U_18)
| ~ v25_waybel_0(U_18)
| ~ v4_orders_2(U_18)
| ~ v2_orders_2(U_18)
| v3_struct_0(U_18)
| ~ l1_orders_2(U_18) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP7])],[f_12_2]) ).
cnf(f_12_4,plain,
( sP7(U_18)
| ~ v25_waybel_0(U_18)
| ~ v4_orders_2(U_18)
| ~ v2_orders_2(U_18)
| v3_struct_0(U_18)
| ~ l1_orders_2(U_18) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_5,plain,
( ~ v3_struct_0(U_18)
| ~ sP7(U_18) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_6,plain,
( v2_orders_2(U_18)
| ~ sP7(U_18) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_7,plain,
( v4_orders_2(U_18)
| ~ sP7(U_18) ),
inference(clausify,[status(thm)],[f_12_3]) ).
cnf(f_12_8,plain,
( v2_lattice3(U_18)
| ~ sP7(U_18) ),
inference(clausify,[status(thm)],[f_12_3]) ).
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_20] :
( ! [U_19] :
( ( v1_rat_1(U_19)
& v1_int_1(U_19)
& v1_xreal_0(U_19)
& v4_ordinal2(U_19)
& v1_xcmplx_0(U_19) )
| ~ m1_subset_1(U_19,U_20) )
| ~ v5_membered(U_20) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_19] :
( v1_rat_1(U_19)
| ~ sP8(U_19) )
& ! [U_19] :
( v1_int_1(U_19)
| ~ sP8(U_19) )
& ! [U_19] :
( v1_xreal_0(U_19)
| ~ sP8(U_19) )
& ! [U_19] :
( v4_ordinal2(U_19)
| ~ sP8(U_19) )
& ! [U_19] :
( v1_xcmplx_0(U_19)
| ~ sP8(U_19) )
& ! [U_19,U_20] :
( sP8(U_19)
| ~ m1_subset_1(U_19,U_20)
| ~ v5_membered(U_20) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP8])],[f_13_2]) ).
cnf(f_13_4,plain,
( sP8(U_19)
| ~ m1_subset_1(U_19,U_20)
| ~ v5_membered(U_20) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( v1_xcmplx_0(U_19)
| ~ sP8(U_19) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_6,plain,
( v4_ordinal2(U_19)
| ~ sP8(U_19) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_7,plain,
( v1_xreal_0(U_19)
| ~ sP8(U_19) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_8,plain,
( v1_int_1(U_19)
| ~ sP8(U_19) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_9,plain,
( v1_rat_1(U_19)
| ~ sP8(U_19) ),
inference(clausify,[status(thm)],[f_13_3]) ).
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_21] :
( ( v2_yellow_0(U_21)
& v1_lattice3(U_21)
& v4_orders_2(U_21)
& v2_orders_2(U_21)
& ~ v3_struct_0(U_21) )
| ~ v25_waybel_0(U_21)
| ~ v2_yellow_0(U_21)
| ~ v4_orders_2(U_21)
| ~ v2_orders_2(U_21)
| v3_struct_0(U_21)
| ~ l1_orders_2(U_21) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_21] :
( v2_yellow_0(U_21)
| ~ sP9(U_21) )
& ! [U_21] :
( v1_lattice3(U_21)
| ~ sP9(U_21) )
& ! [U_21] :
( v4_orders_2(U_21)
| ~ sP9(U_21) )
& ! [U_21] :
( v2_orders_2(U_21)
| ~ sP9(U_21) )
& ! [U_21] :
( ~ v3_struct_0(U_21)
| ~ sP9(U_21) )
& ! [U_21] :
( sP9(U_21)
| ~ v25_waybel_0(U_21)
| ~ v2_yellow_0(U_21)
| ~ v4_orders_2(U_21)
| ~ v2_orders_2(U_21)
| v3_struct_0(U_21)
| ~ l1_orders_2(U_21) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP9])],[f_14_2]) ).
cnf(f_14_4,plain,
( sP9(U_21)
| ~ v25_waybel_0(U_21)
| ~ v2_yellow_0(U_21)
| ~ v4_orders_2(U_21)
| ~ v2_orders_2(U_21)
| v3_struct_0(U_21)
| ~ l1_orders_2(U_21) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_5,plain,
( ~ v3_struct_0(U_21)
| ~ sP9(U_21) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_6,plain,
( v2_orders_2(U_21)
| ~ sP9(U_21) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_7,plain,
( v4_orders_2(U_21)
| ~ sP9(U_21) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_8,plain,
( v1_lattice3(U_21)
| ~ sP9(U_21) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_9,plain,
( v2_yellow_0(U_21)
| ~ sP9(U_21) ),
inference(clausify,[status(thm)],[f_14_3]) ).
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_22] :
( ( v5_membered(U_22)
& v4_membered(U_22)
& v3_membered(U_22)
& v2_membered(U_22)
& v1_membered(U_22) )
| ~ v1_xboole_0(U_22) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_22] :
( v5_membered(U_22)
| ~ sP10(U_22) )
& ! [U_22] :
( v4_membered(U_22)
| ~ sP10(U_22) )
& ! [U_22] :
( v3_membered(U_22)
| ~ sP10(U_22) )
& ! [U_22] :
( v2_membered(U_22)
| ~ sP10(U_22) )
& ! [U_22] :
( v1_membered(U_22)
| ~ sP10(U_22) )
& ! [U_22] :
( sP10(U_22)
| ~ v1_xboole_0(U_22) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP10])],[f_15_2]) ).
cnf(f_15_4,plain,
( sP10(U_22)
| ~ v1_xboole_0(U_22) ),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_5,plain,
( v1_membered(U_22)
| ~ sP10(U_22) ),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_6,plain,
( v2_membered(U_22)
| ~ sP10(U_22) ),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_7,plain,
( v3_membered(U_22)
| ~ sP10(U_22) ),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_8,plain,
( v4_membered(U_22)
| ~ sP10(U_22) ),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_9,plain,
( v5_membered(U_22)
| ~ sP10(U_22) ),
inference(clausify,[status(thm)],[f_15_3]) ).
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_24] :
( ! [U_23] :
( v1_membered(U_23)
| ~ m1_subset_1(U_23,k1_zfmisc_1(U_24)) )
| ~ v1_membered(U_24) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
! [U_24,U_23] :
( v1_membered(U_23)
| ~ m1_subset_1(U_23,k1_zfmisc_1(U_24))
| ~ v1_membered(U_24) ),
inference(definitional_conversion,[status(esa)],[f_16_2]) ).
cnf(f_16_4,plain,
( v1_membered(U_23)
| ~ m1_subset_1(U_23,k1_zfmisc_1(U_24))
| ~ v1_membered(U_24) ),
inference(clausify,[status(thm)],[f_16_3]) ).
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_26] :
( ! [U_25] :
( ( v2_membered(U_25)
& v1_membered(U_25) )
| ~ m1_subset_1(U_25,k1_zfmisc_1(U_26)) )
| ~ v2_membered(U_26) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_25] :
( v2_membered(U_25)
| ~ sP11(U_25) )
& ! [U_25] :
( v1_membered(U_25)
| ~ sP11(U_25) )
& ! [U_26,U_25] :
( sP11(U_25)
| ~ m1_subset_1(U_25,k1_zfmisc_1(U_26))
| ~ v2_membered(U_26) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP11])],[f_17_2]) ).
cnf(f_17_4,plain,
( sP11(U_25)
| ~ m1_subset_1(U_25,k1_zfmisc_1(U_26))
| ~ v2_membered(U_26) ),
inference(clausify,[status(thm)],[f_17_3]) ).
cnf(f_17_5,plain,
( v1_membered(U_25)
| ~ sP11(U_25) ),
inference(clausify,[status(thm)],[f_17_3]) ).
cnf(f_17_6,plain,
( v2_membered(U_25)
| ~ sP11(U_25) ),
inference(clausify,[status(thm)],[f_17_3]) ).
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_28] :
( ! [U_27] :
( ( v3_membered(U_27)
& v2_membered(U_27)
& v1_membered(U_27) )
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28)) )
| ~ v3_membered(U_28) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_27] :
( v3_membered(U_27)
| ~ sP12(U_27) )
& ! [U_27] :
( v2_membered(U_27)
| ~ sP12(U_27) )
& ! [U_27] :
( v1_membered(U_27)
| ~ sP12(U_27) )
& ! [U_28,U_27] :
( sP12(U_27)
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28))
| ~ v3_membered(U_28) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP12])],[f_18_2]) ).
cnf(f_18_4,plain,
( sP12(U_27)
| ~ m1_subset_1(U_27,k1_zfmisc_1(U_28))
| ~ v3_membered(U_28) ),
inference(clausify,[status(thm)],[f_18_3]) ).
cnf(f_18_5,plain,
( v1_membered(U_27)
| ~ sP12(U_27) ),
inference(clausify,[status(thm)],[f_18_3]) ).
cnf(f_18_6,plain,
( v2_membered(U_27)
| ~ sP12(U_27) ),
inference(clausify,[status(thm)],[f_18_3]) ).
cnf(f_18_7,plain,
( v3_membered(U_27)
| ~ sP12(U_27) ),
inference(clausify,[status(thm)],[f_18_3]) ).
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_30] :
( ! [U_29] :
( ( v4_membered(U_29)
& v3_membered(U_29)
& v2_membered(U_29)
& v1_membered(U_29) )
| ~ m1_subset_1(U_29,k1_zfmisc_1(U_30)) )
| ~ v4_membered(U_30) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( ! [U_29] :
( v4_membered(U_29)
| ~ sP13(U_29) )
& ! [U_29] :
( v3_membered(U_29)
| ~ sP13(U_29) )
& ! [U_29] :
( v2_membered(U_29)
| ~ sP13(U_29) )
& ! [U_29] :
( v1_membered(U_29)
| ~ sP13(U_29) )
& ! [U_29,U_30] :
( sP13(U_29)
| ~ m1_subset_1(U_29,k1_zfmisc_1(U_30))
| ~ v4_membered(U_30) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP13])],[f_19_2]) ).
cnf(f_19_4,plain,
( sP13(U_29)
| ~ m1_subset_1(U_29,k1_zfmisc_1(U_30))
| ~ v4_membered(U_30) ),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_5,plain,
( v1_membered(U_29)
| ~ sP13(U_29) ),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_6,plain,
( v2_membered(U_29)
| ~ sP13(U_29) ),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_7,plain,
( v3_membered(U_29)
| ~ sP13(U_29) ),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_8,plain,
( v4_membered(U_29)
| ~ sP13(U_29) ),
inference(clausify,[status(thm)],[f_19_3]) ).
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_31] :
( v1_finset_1(U_31)
| ~ v1_xboole_0(U_31) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
! [U_31] :
( v1_finset_1(U_31)
| ~ v1_xboole_0(U_31) ),
inference(definitional_conversion,[status(esa)],[f_20_2]) ).
cnf(f_20_4,plain,
( v1_finset_1(U_31)
| ~ v1_xboole_0(U_31) ),
inference(clausify,[status(thm)],[f_20_3]) ).
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_32] :
( v1_funct_1(U_32)
| ~ v1_xboole_0(U_32) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
! [U_32] :
( v1_funct_1(U_32)
| ~ v1_xboole_0(U_32) ),
inference(definitional_conversion,[status(esa)],[f_21_2]) ).
cnf(f_21_4,plain,
( v1_funct_1(U_32)
| ~ v1_xboole_0(U_32) ),
inference(clausify,[status(thm)],[f_21_3]) ).
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_33] :
( ~ v3_struct_0(U_33)
| ~ v1_lattice3(U_33)
| ~ l1_orders_2(U_33) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
! [U_33] :
( ~ v3_struct_0(U_33)
| ~ v1_lattice3(U_33)
| ~ l1_orders_2(U_33) ),
inference(definitional_conversion,[status(esa)],[f_22_2]) ).
cnf(f_22_4,plain,
( ~ v3_struct_0(U_33)
| ~ v1_lattice3(U_33)
| ~ l1_orders_2(U_33) ),
inference(clausify,[status(thm)],[f_22_3]) ).
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_34] :
( v4_membered(U_34)
| ~ v5_membered(U_34) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
! [U_34] :
( v4_membered(U_34)
| ~ v5_membered(U_34) ),
inference(definitional_conversion,[status(esa)],[f_23_2]) ).
cnf(f_23_4,plain,
( v4_membered(U_34)
| ~ v5_membered(U_34) ),
inference(clausify,[status(thm)],[f_23_3]) ).
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_37,U_36,U_35] :
( v1_relat_1(U_35)
| ~ m1_subset_1(U_35,k1_zfmisc_1(k2_zfmisc_1(U_37,U_36))) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
! [U_35,U_36,U_37] :
( v1_relat_1(U_35)
| ~ m1_subset_1(U_35,k1_zfmisc_1(k2_zfmisc_1(U_37,U_36))) ),
inference(definitional_conversion,[status(esa)],[f_24_2]) ).
cnf(f_24_4,plain,
( v1_relat_1(U_35)
| ~ m1_subset_1(U_35,k1_zfmisc_1(k2_zfmisc_1(U_37,U_36))) ),
inference(clausify,[status(thm)],[f_24_3]) ).
fof(f_25_1,plain,
! [A] :
( ! [B] :
( ( v5_orders_3(B,A,A)
& v11_quantal1(B)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B) )
| ~ v6_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B)
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_waybel10]) ).
fof(f_25_2,plain,
! [U_39] :
( ! [U_38] :
( ( v5_orders_3(U_38,U_39,U_39)
& v11_quantal1(U_38)
& v1_partfun1(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
& v1_funct_2(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
& ~ v1_xboole_0(U_38)
& v1_funct_1(U_38) )
| ~ v6_waybel_1(U_38,U_39)
| ~ v1_funct_2(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ v1_funct_1(U_38)
| ~ m1_relset_1(U_38,u1_struct_0(U_39),u1_struct_0(U_39)) )
| ~ l1_orders_2(U_39)
| v3_struct_0(U_39) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_39,U_38] :
( v5_orders_3(U_38,U_39,U_39)
| ~ sP14(U_39,U_38) )
& ! [U_39,U_38] :
( v11_quantal1(U_38)
| ~ sP14(U_39,U_38) )
& ! [U_39,U_38] :
( v1_partfun1(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ sP14(U_39,U_38) )
& ! [U_39,U_38] :
( v1_funct_2(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ sP14(U_39,U_38) )
& ! [U_39,U_38] :
( ~ v1_xboole_0(U_38)
| ~ sP14(U_39,U_38) )
& ! [U_39,U_38] :
( v1_funct_1(U_38)
| ~ sP14(U_39,U_38) )
& ! [U_39,U_38] :
( sP14(U_39,U_38)
| ~ v6_waybel_1(U_38,U_39)
| ~ v1_funct_2(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ v1_funct_1(U_38)
| ~ m1_relset_1(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ l1_orders_2(U_39)
| v3_struct_0(U_39) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP14])],[f_25_2]) ).
cnf(f_25_4,plain,
( sP14(U_39,U_38)
| ~ v6_waybel_1(U_38,U_39)
| ~ v1_funct_2(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ v1_funct_1(U_38)
| ~ m1_relset_1(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ l1_orders_2(U_39)
| v3_struct_0(U_39) ),
inference(clausify,[status(thm)],[f_25_3]) ).
cnf(f_25_5,plain,
( v1_funct_1(U_38)
| ~ sP14(U_39,U_38) ),
inference(clausify,[status(thm)],[f_25_3]) ).
cnf(f_25_6,plain,
( ~ v1_xboole_0(U_38)
| ~ sP14(U_39,U_38) ),
inference(clausify,[status(thm)],[f_25_3]) ).
cnf(f_25_7,plain,
( v1_funct_2(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ sP14(U_39,U_38) ),
inference(clausify,[status(thm)],[f_25_3]) ).
cnf(f_25_8,plain,
( v1_partfun1(U_38,u1_struct_0(U_39),u1_struct_0(U_39))
| ~ sP14(U_39,U_38) ),
inference(clausify,[status(thm)],[f_25_3]) ).
cnf(f_25_9,plain,
( v11_quantal1(U_38)
| ~ sP14(U_39,U_38) ),
inference(clausify,[status(thm)],[f_25_3]) ).
cnf(f_25_10,plain,
( v5_orders_3(U_38,U_39,U_39)
| ~ sP14(U_39,U_38) ),
inference(clausify,[status(thm)],[f_25_3]) ).
fof(f_26_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_26_2,plain,
! [U_42,U_41] :
( ! [U_40] :
( ( v1_partfun1(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
& v5_orders_3(U_40,U_42,U_41)
& v1_funct_2(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
& v1_funct_1(U_40)
& ~ v1_xboole_0(U_40) )
| ~ v22_waybel_0(U_40,U_42,U_41)
| ~ v1_funct_2(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ v1_funct_1(U_40)
| ~ m1_relset_1(U_40,u1_struct_0(U_42),u1_struct_0(U_41)) )
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41)
| ~ l1_orders_2(U_42)
| ~ v4_orders_2(U_42)
| ~ v2_orders_2(U_42)
| v3_struct_0(U_42) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_41,U_42,U_40] :
( v1_partfun1(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ sP15(U_41,U_42,U_40) )
& ! [U_41,U_42,U_40] :
( v5_orders_3(U_40,U_42,U_41)
| ~ sP15(U_41,U_42,U_40) )
& ! [U_41,U_42,U_40] :
( v1_funct_2(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ sP15(U_41,U_42,U_40) )
& ! [U_41,U_42,U_40] :
( v1_funct_1(U_40)
| ~ sP15(U_41,U_42,U_40) )
& ! [U_41,U_42,U_40] :
( ~ v1_xboole_0(U_40)
| ~ sP15(U_41,U_42,U_40) )
& ! [U_41,U_42,U_40] :
( sP15(U_41,U_42,U_40)
| ~ v22_waybel_0(U_40,U_42,U_41)
| ~ v1_funct_2(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ v1_funct_1(U_40)
| ~ m1_relset_1(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41)
| ~ l1_orders_2(U_42)
| ~ v4_orders_2(U_42)
| ~ v2_orders_2(U_42)
| v3_struct_0(U_42) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP15])],[f_26_2]) ).
cnf(f_26_4,plain,
( sP15(U_41,U_42,U_40)
| ~ v22_waybel_0(U_40,U_42,U_41)
| ~ v1_funct_2(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ v1_funct_1(U_40)
| ~ m1_relset_1(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41)
| ~ l1_orders_2(U_42)
| ~ v4_orders_2(U_42)
| ~ v2_orders_2(U_42)
| v3_struct_0(U_42) ),
inference(clausify,[status(thm)],[f_26_3]) ).
cnf(f_26_5,plain,
( ~ v1_xboole_0(U_40)
| ~ sP15(U_41,U_42,U_40) ),
inference(clausify,[status(thm)],[f_26_3]) ).
cnf(f_26_6,plain,
( v1_funct_1(U_40)
| ~ sP15(U_41,U_42,U_40) ),
inference(clausify,[status(thm)],[f_26_3]) ).
cnf(f_26_7,plain,
( v1_funct_2(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ sP15(U_41,U_42,U_40) ),
inference(clausify,[status(thm)],[f_26_3]) ).
cnf(f_26_8,plain,
( v5_orders_3(U_40,U_42,U_41)
| ~ sP15(U_41,U_42,U_40) ),
inference(clausify,[status(thm)],[f_26_3]) ).
cnf(f_26_9,plain,
( v1_partfun1(U_40,u1_struct_0(U_42),u1_struct_0(U_41))
| ~ sP15(U_41,U_42,U_40) ),
inference(clausify,[status(thm)],[f_26_3]) ).
fof(f_27_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_27_2,plain,
! [U_45,U_44] :
( ! [U_43] :
( ( v5_orders_3(U_43,U_45,U_44)
& v1_funct_2(U_43,u1_struct_0(U_45),u1_struct_0(U_44))
& v1_funct_1(U_43) )
| ~ v19_waybel_0(U_43,U_45,U_44)
| ~ v1_funct_2(U_43,u1_struct_0(U_45),u1_struct_0(U_44))
| ~ v1_funct_1(U_43)
| ~ m1_relset_1(U_43,u1_struct_0(U_45),u1_struct_0(U_44)) )
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44)
| ~ l1_orders_2(U_45)
| ~ v2_lattice3(U_45)
| ~ v4_orders_2(U_45)
| ~ v3_orders_2(U_45)
| ~ v2_orders_2(U_45) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( ! [U_43,U_45,U_44] :
( v5_orders_3(U_43,U_45,U_44)
| ~ sP16(U_43,U_45,U_44) )
& ! [U_43,U_45,U_44] :
( v1_funct_2(U_43,u1_struct_0(U_45),u1_struct_0(U_44))
| ~ sP16(U_43,U_45,U_44) )
& ! [U_43,U_45,U_44] :
( v1_funct_1(U_43)
| ~ sP16(U_43,U_45,U_44) )
& ! [U_43,U_45,U_44] :
( sP16(U_43,U_45,U_44)
| ~ v19_waybel_0(U_43,U_45,U_44)
| ~ v1_funct_2(U_43,u1_struct_0(U_45),u1_struct_0(U_44))
| ~ v1_funct_1(U_43)
| ~ m1_relset_1(U_43,u1_struct_0(U_45),u1_struct_0(U_44))
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44)
| ~ l1_orders_2(U_45)
| ~ v2_lattice3(U_45)
| ~ v4_orders_2(U_45)
| ~ v3_orders_2(U_45)
| ~ v2_orders_2(U_45) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP16])],[f_27_2]) ).
cnf(f_27_4,plain,
( sP16(U_43,U_45,U_44)
| ~ v19_waybel_0(U_43,U_45,U_44)
| ~ v1_funct_2(U_43,u1_struct_0(U_45),u1_struct_0(U_44))
| ~ v1_funct_1(U_43)
| ~ m1_relset_1(U_43,u1_struct_0(U_45),u1_struct_0(U_44))
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44)
| ~ l1_orders_2(U_45)
| ~ v2_lattice3(U_45)
| ~ v4_orders_2(U_45)
| ~ v3_orders_2(U_45)
| ~ v2_orders_2(U_45) ),
inference(clausify,[status(thm)],[f_27_3]) ).
cnf(f_27_5,plain,
( v1_funct_1(U_43)
| ~ sP16(U_43,U_45,U_44) ),
inference(clausify,[status(thm)],[f_27_3]) ).
cnf(f_27_6,plain,
( v1_funct_2(U_43,u1_struct_0(U_45),u1_struct_0(U_44))
| ~ sP16(U_43,U_45,U_44) ),
inference(clausify,[status(thm)],[f_27_3]) ).
cnf(f_27_7,plain,
( v5_orders_3(U_43,U_45,U_44)
| ~ sP16(U_43,U_45,U_44) ),
inference(clausify,[status(thm)],[f_27_3]) ).
fof(f_28_1,plain,
! [A] :
( ! [B] :
( v3_waybel_0(B,A)
| ~ v7_yellow_0(B,A)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_waybel_0]) ).
fof(f_28_2,plain,
! [U_47] :
( ! [U_46] :
( v3_waybel_0(U_46,U_47)
| ~ v7_yellow_0(U_46,U_47)
| ~ m1_yellow_0(U_46,U_47) )
| ~ l1_orders_2(U_47)
| v3_struct_0(U_47) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
! [U_47,U_46] :
( v3_waybel_0(U_46,U_47)
| ~ v7_yellow_0(U_46,U_47)
| ~ m1_yellow_0(U_46,U_47)
| ~ l1_orders_2(U_47)
| v3_struct_0(U_47) ),
inference(definitional_conversion,[status(esa)],[f_28_2]) ).
cnf(f_28_4,plain,
( v3_waybel_0(U_46,U_47)
| ~ v7_yellow_0(U_46,U_47)
| ~ m1_yellow_0(U_46,U_47)
| ~ l1_orders_2(U_47)
| v3_struct_0(U_47) ),
inference(clausify,[status(thm)],[f_28_3]) ).
fof(f_29_1,plain,
! [A,B] :
( ! [C] :
( ( v21_waybel_0(C,A,B)
& v19_waybel_0(C,A,B)
& v17_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) )
| ~ v4_waybel_1(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)
| ~ 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)],[cc1_waybel_1]) ).
fof(f_29_2,plain,
! [U_50,U_49] :
( ! [U_48] :
( ( v21_waybel_0(U_48,U_50,U_49)
& v19_waybel_0(U_48,U_50,U_49)
& v17_waybel_0(U_48,U_50,U_49)
& v1_partfun1(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
& v1_funct_2(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
& ~ v1_xboole_0(U_48)
& v1_funct_1(U_48) )
| ~ v4_waybel_1(U_48,U_50,U_49)
| ~ v1_funct_2(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ v1_funct_1(U_48)
| ~ m1_relset_1(U_48,u1_struct_0(U_50),u1_struct_0(U_49)) )
| ~ l1_orders_2(U_49)
| ~ v4_orders_2(U_49)
| ~ v3_orders_2(U_49)
| ~ v2_orders_2(U_49)
| v3_struct_0(U_49)
| ~ l1_orders_2(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_48,U_50,U_49] :
( v21_waybel_0(U_48,U_50,U_49)
| ~ sP17(U_48,U_50,U_49) )
& ! [U_48,U_50,U_49] :
( v19_waybel_0(U_48,U_50,U_49)
| ~ sP17(U_48,U_50,U_49) )
& ! [U_48,U_50,U_49] :
( v17_waybel_0(U_48,U_50,U_49)
| ~ sP17(U_48,U_50,U_49) )
& ! [U_48,U_50,U_49] :
( v1_partfun1(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ sP17(U_48,U_50,U_49) )
& ! [U_48,U_50,U_49] :
( v1_funct_2(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ sP17(U_48,U_50,U_49) )
& ! [U_48,U_50,U_49] :
( ~ v1_xboole_0(U_48)
| ~ sP17(U_48,U_50,U_49) )
& ! [U_48,U_50,U_49] :
( v1_funct_1(U_48)
| ~ sP17(U_48,U_50,U_49) )
& ! [U_48,U_50,U_49] :
( sP17(U_48,U_50,U_49)
| ~ v4_waybel_1(U_48,U_50,U_49)
| ~ v1_funct_2(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ v1_funct_1(U_48)
| ~ m1_relset_1(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ l1_orders_2(U_49)
| ~ v4_orders_2(U_49)
| ~ v3_orders_2(U_49)
| ~ v2_orders_2(U_49)
| v3_struct_0(U_49)
| ~ l1_orders_2(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP17])],[f_29_2]) ).
cnf(f_29_4,plain,
( sP17(U_48,U_50,U_49)
| ~ v4_waybel_1(U_48,U_50,U_49)
| ~ v1_funct_2(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ v1_funct_1(U_48)
| ~ m1_relset_1(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ l1_orders_2(U_49)
| ~ v4_orders_2(U_49)
| ~ v3_orders_2(U_49)
| ~ v2_orders_2(U_49)
| v3_struct_0(U_49)
| ~ l1_orders_2(U_50)
| ~ v4_orders_2(U_50)
| ~ v3_orders_2(U_50)
| ~ v2_orders_2(U_50)
| v3_struct_0(U_50) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_5,plain,
( v1_funct_1(U_48)
| ~ sP17(U_48,U_50,U_49) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_6,plain,
( ~ v1_xboole_0(U_48)
| ~ sP17(U_48,U_50,U_49) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_7,plain,
( v1_funct_2(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ sP17(U_48,U_50,U_49) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_8,plain,
( v1_partfun1(U_48,u1_struct_0(U_50),u1_struct_0(U_49))
| ~ sP17(U_48,U_50,U_49) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_9,plain,
( v17_waybel_0(U_48,U_50,U_49)
| ~ sP17(U_48,U_50,U_49) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_10,plain,
( v19_waybel_0(U_48,U_50,U_49)
| ~ sP17(U_48,U_50,U_49) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_11,plain,
( v21_waybel_0(U_48,U_50,U_49)
| ~ sP17(U_48,U_50,U_49) ),
inference(clausify,[status(thm)],[f_29_3]) ).
fof(f_30_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_30_2,plain,
! [U_51] :
( ( v2_lattice3(U_51)
& v1_lattice3(U_51)
& ~ v3_struct_0(U_51) )
| ~ v3_lattice3(U_51)
| v3_struct_0(U_51)
| ~ l1_orders_2(U_51) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_51] :
( v2_lattice3(U_51)
| ~ sP18(U_51) )
& ! [U_51] :
( v1_lattice3(U_51)
| ~ sP18(U_51) )
& ! [U_51] :
( ~ v3_struct_0(U_51)
| ~ sP18(U_51) )
& ! [U_51] :
( sP18(U_51)
| ~ v3_lattice3(U_51)
| v3_struct_0(U_51)
| ~ l1_orders_2(U_51) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP18])],[f_30_2]) ).
cnf(f_30_4,plain,
( sP18(U_51)
| ~ v3_lattice3(U_51)
| v3_struct_0(U_51)
| ~ l1_orders_2(U_51) ),
inference(clausify,[status(thm)],[f_30_3]) ).
cnf(f_30_5,plain,
( ~ v3_struct_0(U_51)
| ~ sP18(U_51) ),
inference(clausify,[status(thm)],[f_30_3]) ).
cnf(f_30_6,plain,
( v1_lattice3(U_51)
| ~ sP18(U_51) ),
inference(clausify,[status(thm)],[f_30_3]) ).
cnf(f_30_7,plain,
( v2_lattice3(U_51)
| ~ sP18(U_51) ),
inference(clausify,[status(thm)],[f_30_3]) ).
fof(f_31_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_31_2,plain,
! [U_52] :
( ( v3_lattice3(U_52)
& v2_lattice3(U_52)
& v1_lattice3(U_52)
& v25_waybel_0(U_52)
& v24_waybel_0(U_52)
& v3_yellow_0(U_52)
& v2_yellow_0(U_52)
& v1_yellow_0(U_52)
& v4_orders_2(U_52)
& v3_orders_2(U_52)
& v2_orders_2(U_52)
& ~ v3_struct_0(U_52) )
| ~ v25_waybel_0(U_52)
| ~ v24_waybel_0(U_52)
| ~ v2_yellow_0(U_52)
| ~ v4_orders_2(U_52)
| ~ v3_orders_2(U_52)
| ~ v2_orders_2(U_52)
| v3_struct_0(U_52)
| ~ l1_orders_2(U_52) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_52] :
( v3_lattice3(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v2_lattice3(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v1_lattice3(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v25_waybel_0(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v24_waybel_0(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v3_yellow_0(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v2_yellow_0(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v1_yellow_0(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v4_orders_2(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v3_orders_2(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( v2_orders_2(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( ~ v3_struct_0(U_52)
| ~ sP19(U_52) )
& ! [U_52] :
( sP19(U_52)
| ~ v25_waybel_0(U_52)
| ~ v24_waybel_0(U_52)
| ~ v2_yellow_0(U_52)
| ~ v4_orders_2(U_52)
| ~ v3_orders_2(U_52)
| ~ v2_orders_2(U_52)
| v3_struct_0(U_52)
| ~ l1_orders_2(U_52) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP19])],[f_31_2]) ).
cnf(f_31_4,plain,
( sP19(U_52)
| ~ v25_waybel_0(U_52)
| ~ v24_waybel_0(U_52)
| ~ v2_yellow_0(U_52)
| ~ v4_orders_2(U_52)
| ~ v3_orders_2(U_52)
| ~ v2_orders_2(U_52)
| v3_struct_0(U_52)
| ~ l1_orders_2(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_5,plain,
( ~ v3_struct_0(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_6,plain,
( v2_orders_2(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_7,plain,
( v3_orders_2(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_8,plain,
( v4_orders_2(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_9,plain,
( v1_yellow_0(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_10,plain,
( v2_yellow_0(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_11,plain,
( v3_yellow_0(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_12,plain,
( v24_waybel_0(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_13,plain,
( v25_waybel_0(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_14,plain,
( v1_lattice3(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_15,plain,
( v2_lattice3(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_16,plain,
( v3_lattice3(U_52)
| ~ sP19(U_52) ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_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_32_2,plain,
! [U_54] :
( ! [U_53] :
( ( v5_membered(U_53)
& v4_membered(U_53)
& v3_membered(U_53)
& v2_membered(U_53)
& v1_membered(U_53) )
| ~ m1_subset_1(U_53,k1_zfmisc_1(U_54)) )
| ~ v5_membered(U_54) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ! [U_53] :
( v5_membered(U_53)
| ~ sP20(U_53) )
& ! [U_53] :
( v4_membered(U_53)
| ~ sP20(U_53) )
& ! [U_53] :
( v3_membered(U_53)
| ~ sP20(U_53) )
& ! [U_53] :
( v2_membered(U_53)
| ~ sP20(U_53) )
& ! [U_53] :
( v1_membered(U_53)
| ~ sP20(U_53) )
& ! [U_54,U_53] :
( sP20(U_53)
| ~ m1_subset_1(U_53,k1_zfmisc_1(U_54))
| ~ v5_membered(U_54) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP20])],[f_32_2]) ).
cnf(f_32_4,plain,
( sP20(U_53)
| ~ m1_subset_1(U_53,k1_zfmisc_1(U_54))
| ~ v5_membered(U_54) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_5,plain,
( v1_membered(U_53)
| ~ sP20(U_53) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_6,plain,
( v2_membered(U_53)
| ~ sP20(U_53) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_7,plain,
( v3_membered(U_53)
| ~ sP20(U_53) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_8,plain,
( v4_membered(U_53)
| ~ sP20(U_53) ),
inference(clausify,[status(thm)],[f_32_3]) ).
cnf(f_32_9,plain,
( v5_membered(U_53)
| ~ sP20(U_53) ),
inference(clausify,[status(thm)],[f_32_3]) ).
fof(f_33_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_33_2,plain,
! [U_56] :
( ! [U_55] :
( v1_finset_1(U_55)
| ~ m1_subset_1(U_55,k1_zfmisc_1(U_56)) )
| ~ v1_finset_1(U_56) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
! [U_56,U_55] :
( v1_finset_1(U_55)
| ~ m1_subset_1(U_55,k1_zfmisc_1(U_56))
| ~ v1_finset_1(U_56) ),
inference(definitional_conversion,[status(esa)],[f_33_2]) ).
cnf(f_33_4,plain,
( v1_finset_1(U_55)
| ~ m1_subset_1(U_55,k1_zfmisc_1(U_56))
| ~ v1_finset_1(U_56) ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_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_34_2,plain,
! [U_57] :
( ( v2_funct_1(U_57)
& v1_funct_1(U_57)
& v1_relat_1(U_57) )
| ~ v1_funct_1(U_57)
| ~ v1_xboole_0(U_57)
| ~ v1_relat_1(U_57) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
( ! [U_57] :
( v2_funct_1(U_57)
| ~ sP21(U_57) )
& ! [U_57] :
( v1_funct_1(U_57)
| ~ sP21(U_57) )
& ! [U_57] :
( v1_relat_1(U_57)
| ~ sP21(U_57) )
& ! [U_57] :
( sP21(U_57)
| ~ v1_funct_1(U_57)
| ~ v1_xboole_0(U_57)
| ~ v1_relat_1(U_57) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP21])],[f_34_2]) ).
cnf(f_34_4,plain,
( sP21(U_57)
| ~ v1_funct_1(U_57)
| ~ v1_xboole_0(U_57)
| ~ v1_relat_1(U_57) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_5,plain,
( v1_relat_1(U_57)
| ~ sP21(U_57) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_6,plain,
( v1_funct_1(U_57)
| ~ sP21(U_57) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_7,plain,
( v2_funct_1(U_57)
| ~ sP21(U_57) ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc2_lattice3]) ).
fof(f_35_2,plain,
! [U_58] :
( ~ v3_struct_0(U_58)
| ~ v2_lattice3(U_58)
| ~ l1_orders_2(U_58) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
! [U_58] :
( ~ v3_struct_0(U_58)
| ~ v2_lattice3(U_58)
| ~ l1_orders_2(U_58) ),
inference(definitional_conversion,[status(esa)],[f_35_2]) ).
cnf(f_35_4,plain,
( ~ v3_struct_0(U_58)
| ~ v2_lattice3(U_58)
| ~ l1_orders_2(U_58) ),
inference(clausify,[status(thm)],[f_35_3]) ).
fof(f_36_1,plain,
! [A] :
( v3_membered(A)
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc2_membered]) ).
fof(f_36_2,plain,
! [U_59] :
( v3_membered(U_59)
| ~ v4_membered(U_59) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
! [U_59] :
( v3_membered(U_59)
| ~ v4_membered(U_59) ),
inference(definitional_conversion,[status(esa)],[f_36_2]) ).
cnf(f_36_4,plain,
( v3_membered(U_59)
| ~ v4_membered(U_59) ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
! [A] :
( ! [B] :
( ~ v3_struct_0(B)
| ~ v7_yellow_0(B,A)
| ~ m1_yellow_0(B,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)],[cc2_waybel10]) ).
fof(f_37_2,plain,
! [U_61] :
( ! [U_60] :
( ~ v3_struct_0(U_60)
| ~ v7_yellow_0(U_60,U_61)
| ~ m1_yellow_0(U_60,U_61) )
| ~ l1_orders_2(U_61)
| ~ v3_lattice3(U_61)
| ~ v2_lattice3(U_61)
| ~ v1_lattice3(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
! [U_61,U_60] :
( ~ v3_struct_0(U_60)
| ~ v7_yellow_0(U_60,U_61)
| ~ m1_yellow_0(U_60,U_61)
| ~ l1_orders_2(U_61)
| ~ v3_lattice3(U_61)
| ~ v2_lattice3(U_61)
| ~ v1_lattice3(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61) ),
inference(definitional_conversion,[status(esa)],[f_37_2]) ).
cnf(f_37_4,plain,
( ~ v3_struct_0(U_60)
| ~ v7_yellow_0(U_60,U_61)
| ~ m1_yellow_0(U_60,U_61)
| ~ l1_orders_2(U_61)
| ~ v3_lattice3(U_61)
| ~ v2_lattice3(U_61)
| ~ v1_lattice3(U_61)
| ~ v4_orders_2(U_61)
| ~ v3_orders_2(U_61)
| ~ v2_orders_2(U_61) ),
inference(clausify,[status(thm)],[f_37_3]) ).
fof(f_38_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_38_2,plain,
! [U_64,U_63] :
( ! [U_62] :
( ( v22_waybel_0(U_62,U_64,U_63)
& v20_waybel_0(U_62,U_64,U_63)
& v18_waybel_0(U_62,U_64,U_63)
& v1_partfun1(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
& v1_funct_2(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
& ~ v1_xboole_0(U_62)
& v1_funct_1(U_62) )
| ~ v5_waybel_1(U_62,U_63,U_64)
| ~ v1_funct_2(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ v1_funct_1(U_62)
| ~ m1_relset_1(U_62,u1_struct_0(U_64),u1_struct_0(U_63)) )
| ~ l1_orders_2(U_63)
| ~ v4_orders_2(U_63)
| ~ v3_orders_2(U_63)
| ~ v2_orders_2(U_63)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_64)
| ~ v4_orders_2(U_64)
| ~ v3_orders_2(U_64)
| ~ v2_orders_2(U_64)
| v3_struct_0(U_64) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_64,U_63,U_62] :
( v22_waybel_0(U_62,U_64,U_63)
| ~ sP22(U_64,U_63,U_62) )
& ! [U_64,U_63,U_62] :
( v20_waybel_0(U_62,U_64,U_63)
| ~ sP22(U_64,U_63,U_62) )
& ! [U_64,U_63,U_62] :
( v18_waybel_0(U_62,U_64,U_63)
| ~ sP22(U_64,U_63,U_62) )
& ! [U_64,U_63,U_62] :
( v1_partfun1(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ sP22(U_64,U_63,U_62) )
& ! [U_64,U_63,U_62] :
( v1_funct_2(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ sP22(U_64,U_63,U_62) )
& ! [U_64,U_63,U_62] :
( ~ v1_xboole_0(U_62)
| ~ sP22(U_64,U_63,U_62) )
& ! [U_64,U_63,U_62] :
( v1_funct_1(U_62)
| ~ sP22(U_64,U_63,U_62) )
& ! [U_64,U_63,U_62] :
( sP22(U_64,U_63,U_62)
| ~ v5_waybel_1(U_62,U_63,U_64)
| ~ v1_funct_2(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ v1_funct_1(U_62)
| ~ m1_relset_1(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ l1_orders_2(U_63)
| ~ v4_orders_2(U_63)
| ~ v3_orders_2(U_63)
| ~ v2_orders_2(U_63)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_64)
| ~ v4_orders_2(U_64)
| ~ v3_orders_2(U_64)
| ~ v2_orders_2(U_64)
| v3_struct_0(U_64) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP22])],[f_38_2]) ).
cnf(f_38_4,plain,
( sP22(U_64,U_63,U_62)
| ~ v5_waybel_1(U_62,U_63,U_64)
| ~ v1_funct_2(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ v1_funct_1(U_62)
| ~ m1_relset_1(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ l1_orders_2(U_63)
| ~ v4_orders_2(U_63)
| ~ v3_orders_2(U_63)
| ~ v2_orders_2(U_63)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_64)
| ~ v4_orders_2(U_64)
| ~ v3_orders_2(U_64)
| ~ v2_orders_2(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_5,plain,
( v1_funct_1(U_62)
| ~ sP22(U_64,U_63,U_62) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_6,plain,
( ~ v1_xboole_0(U_62)
| ~ sP22(U_64,U_63,U_62) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_7,plain,
( v1_funct_2(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ sP22(U_64,U_63,U_62) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_8,plain,
( v1_partfun1(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ sP22(U_64,U_63,U_62) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_9,plain,
( v18_waybel_0(U_62,U_64,U_63)
| ~ sP22(U_64,U_63,U_62) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_10,plain,
( v20_waybel_0(U_62,U_64,U_63)
| ~ sP22(U_64,U_63,U_62) ),
inference(clausify,[status(thm)],[f_38_3]) ).
cnf(f_38_11,plain,
( v22_waybel_0(U_62,U_64,U_63)
| ~ sP22(U_64,U_63,U_62) ),
inference(clausify,[status(thm)],[f_38_3]) ).
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_65] :
( v2_membered(U_65)
| ~ v3_membered(U_65) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
! [U_65] :
( v2_membered(U_65)
| ~ v3_membered(U_65) ),
inference(definitional_conversion,[status(esa)],[f_39_2]) ).
cnf(f_39_4,plain,
( v2_membered(U_65)
| ~ v3_membered(U_65) ),
inference(clausify,[status(thm)],[f_39_3]) ).
fof(f_40_1,plain,
! [A] :
( ! [B] :
( ( v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B) )
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B)
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc3_waybel_1]) ).
fof(f_40_2,plain,
! [U_67] :
( ! [U_66] :
( ( v6_waybel_1(U_66,U_67)
& v1_partfun1(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
& v1_funct_2(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
& ~ v1_xboole_0(U_66)
& v1_funct_1(U_66) )
| ~ v7_waybel_1(U_66,U_67)
| ~ v1_funct_2(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ v1_funct_1(U_66)
| ~ m1_relset_1(U_66,u1_struct_0(U_67),u1_struct_0(U_67)) )
| ~ l1_orders_2(U_67)
| v3_struct_0(U_67) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_67,U_66] :
( v6_waybel_1(U_66,U_67)
| ~ sP23(U_67,U_66) )
& ! [U_67,U_66] :
( v1_partfun1(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ sP23(U_67,U_66) )
& ! [U_67,U_66] :
( v1_funct_2(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ sP23(U_67,U_66) )
& ! [U_67,U_66] :
( ~ v1_xboole_0(U_66)
| ~ sP23(U_67,U_66) )
& ! [U_67,U_66] :
( v1_funct_1(U_66)
| ~ sP23(U_67,U_66) )
& ! [U_67,U_66] :
( sP23(U_67,U_66)
| ~ v7_waybel_1(U_66,U_67)
| ~ v1_funct_2(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ v1_funct_1(U_66)
| ~ m1_relset_1(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ l1_orders_2(U_67)
| v3_struct_0(U_67) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP23])],[f_40_2]) ).
cnf(f_40_4,plain,
( sP23(U_67,U_66)
| ~ v7_waybel_1(U_66,U_67)
| ~ v1_funct_2(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ v1_funct_1(U_66)
| ~ m1_relset_1(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ l1_orders_2(U_67)
| v3_struct_0(U_67) ),
inference(clausify,[status(thm)],[f_40_3]) ).
cnf(f_40_5,plain,
( v1_funct_1(U_66)
| ~ sP23(U_67,U_66) ),
inference(clausify,[status(thm)],[f_40_3]) ).
cnf(f_40_6,plain,
( ~ v1_xboole_0(U_66)
| ~ sP23(U_67,U_66) ),
inference(clausify,[status(thm)],[f_40_3]) ).
cnf(f_40_7,plain,
( v1_funct_2(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ sP23(U_67,U_66) ),
inference(clausify,[status(thm)],[f_40_3]) ).
cnf(f_40_8,plain,
( v1_partfun1(U_66,u1_struct_0(U_67),u1_struct_0(U_67))
| ~ sP23(U_67,U_66) ),
inference(clausify,[status(thm)],[f_40_3]) ).
cnf(f_40_9,plain,
( v6_waybel_1(U_66,U_67)
| ~ sP23(U_67,U_66) ),
inference(clausify,[status(thm)],[f_40_3]) ).
fof(f_41_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_41_2,plain,
! [U_68] :
( ( v3_yellow_0(U_68)
& ~ v3_struct_0(U_68) )
| ~ v3_lattice3(U_68)
| v3_struct_0(U_68)
| ~ l1_orders_2(U_68) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_68] :
( v3_yellow_0(U_68)
| ~ sP24(U_68) )
& ! [U_68] :
( ~ v3_struct_0(U_68)
| ~ sP24(U_68) )
& ! [U_68] :
( sP24(U_68)
| ~ v3_lattice3(U_68)
| v3_struct_0(U_68)
| ~ l1_orders_2(U_68) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP24])],[f_41_2]) ).
cnf(f_41_4,plain,
( sP24(U_68)
| ~ v3_lattice3(U_68)
| v3_struct_0(U_68)
| ~ l1_orders_2(U_68) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_5,plain,
( ~ v3_struct_0(U_68)
| ~ sP24(U_68) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_6,plain,
( v3_yellow_0(U_68)
| ~ sP24(U_68) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
! [A] :
( v1_membered(A)
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc4_membered]) ).
fof(f_42_2,plain,
! [U_69] :
( v1_membered(U_69)
| ~ v2_membered(U_69) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
! [U_69] :
( v1_membered(U_69)
| ~ v2_membered(U_69) ),
inference(definitional_conversion,[status(esa)],[f_42_2]) ).
cnf(f_42_4,plain,
( v1_membered(U_69)
| ~ v2_membered(U_69) ),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
! [A] :
( ! [B] :
( ( v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B) )
| ~ v8_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(B)
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc4_waybel_1]) ).
fof(f_43_2,plain,
! [U_71] :
( ! [U_70] :
( ( v6_waybel_1(U_70,U_71)
& v1_partfun1(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
& v1_funct_2(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
& ~ v1_xboole_0(U_70)
& v1_funct_1(U_70) )
| ~ v8_waybel_1(U_70,U_71)
| ~ v1_funct_2(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ v1_funct_1(U_70)
| ~ m1_relset_1(U_70,u1_struct_0(U_71),u1_struct_0(U_71)) )
| ~ l1_orders_2(U_71)
| v3_struct_0(U_71) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
( ! [U_71,U_70] :
( v6_waybel_1(U_70,U_71)
| ~ sP25(U_71,U_70) )
& ! [U_71,U_70] :
( v1_partfun1(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ sP25(U_71,U_70) )
& ! [U_71,U_70] :
( v1_funct_2(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ sP25(U_71,U_70) )
& ! [U_71,U_70] :
( ~ v1_xboole_0(U_70)
| ~ sP25(U_71,U_70) )
& ! [U_71,U_70] :
( v1_funct_1(U_70)
| ~ sP25(U_71,U_70) )
& ! [U_71,U_70] :
( sP25(U_71,U_70)
| ~ v8_waybel_1(U_70,U_71)
| ~ v1_funct_2(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ v1_funct_1(U_70)
| ~ m1_relset_1(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ l1_orders_2(U_71)
| v3_struct_0(U_71) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP25])],[f_43_2]) ).
cnf(f_43_4,plain,
( sP25(U_71,U_70)
| ~ v8_waybel_1(U_70,U_71)
| ~ v1_funct_2(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ v1_funct_1(U_70)
| ~ m1_relset_1(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ l1_orders_2(U_71)
| v3_struct_0(U_71) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_5,plain,
( v1_funct_1(U_70)
| ~ sP25(U_71,U_70) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_6,plain,
( ~ v1_xboole_0(U_70)
| ~ sP25(U_71,U_70) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_7,plain,
( v1_funct_2(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ sP25(U_71,U_70) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_8,plain,
( v1_partfun1(U_70,u1_struct_0(U_71),u1_struct_0(U_71))
| ~ sP25(U_71,U_70) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_9,plain,
( v6_waybel_1(U_70,U_71)
| ~ sP25(U_71,U_70) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_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_44_2,plain,
! [U_72] :
( ( v2_waybel_3(U_72)
& v24_waybel_0(U_72)
& v2_orders_2(U_72)
& ~ v3_struct_0(U_72) )
| ~ v3_waybel_3(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72)
| ~ l1_orders_2(U_72) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
( ! [U_72] :
( v2_waybel_3(U_72)
| ~ sP26(U_72) )
& ! [U_72] :
( v24_waybel_0(U_72)
| ~ sP26(U_72) )
& ! [U_72] :
( v2_orders_2(U_72)
| ~ sP26(U_72) )
& ! [U_72] :
( ~ v3_struct_0(U_72)
| ~ sP26(U_72) )
& ! [U_72] :
( sP26(U_72)
| ~ v3_waybel_3(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72)
| ~ l1_orders_2(U_72) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP26])],[f_44_2]) ).
cnf(f_44_4,plain,
( sP26(U_72)
| ~ v3_waybel_3(U_72)
| ~ v2_orders_2(U_72)
| v3_struct_0(U_72)
| ~ l1_orders_2(U_72) ),
inference(clausify,[status(thm)],[f_44_3]) ).
cnf(f_44_5,plain,
( ~ v3_struct_0(U_72)
| ~ sP26(U_72) ),
inference(clausify,[status(thm)],[f_44_3]) ).
cnf(f_44_6,plain,
( v2_orders_2(U_72)
| ~ sP26(U_72) ),
inference(clausify,[status(thm)],[f_44_3]) ).
cnf(f_44_7,plain,
( v24_waybel_0(U_72)
| ~ sP26(U_72) ),
inference(clausify,[status(thm)],[f_44_3]) ).
cnf(f_44_8,plain,
( v2_waybel_3(U_72)
| ~ sP26(U_72) ),
inference(clausify,[status(thm)],[f_44_3]) ).
fof(f_45_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_45_2,plain,
! [U_73] :
( ( v2_yellow_0(U_73)
& v1_yellow_0(U_73) )
| ~ v3_yellow_0(U_73)
| ~ l1_orders_2(U_73) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
( ! [U_73] :
( v2_yellow_0(U_73)
| ~ sP27(U_73) )
& ! [U_73] :
( v1_yellow_0(U_73)
| ~ sP27(U_73) )
& ! [U_73] :
( sP27(U_73)
| ~ v3_yellow_0(U_73)
| ~ l1_orders_2(U_73) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP27])],[f_45_2]) ).
cnf(f_45_4,plain,
( sP27(U_73)
| ~ v3_yellow_0(U_73)
| ~ l1_orders_2(U_73) ),
inference(clausify,[status(thm)],[f_45_3]) ).
cnf(f_45_5,plain,
( v1_yellow_0(U_73)
| ~ sP27(U_73) ),
inference(clausify,[status(thm)],[f_45_3]) ).
cnf(f_45_6,plain,
( v2_yellow_0(U_73)
| ~ sP27(U_73) ),
inference(clausify,[status(thm)],[f_45_3]) ).
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_74] :
( ( v3_waybel_3(U_74)
& v1_yellow_0(U_74)
& v1_lattice3(U_74)
& v4_orders_2(U_74)
& v3_orders_2(U_74)
& v2_orders_2(U_74)
& ~ v3_struct_0(U_74) )
| ~ v2_waybel_3(U_74)
| ~ v24_waybel_0(U_74)
| ~ v1_yellow_0(U_74)
| ~ v1_lattice3(U_74)
| ~ v4_orders_2(U_74)
| ~ v3_orders_2(U_74)
| ~ v2_orders_2(U_74)
| ~ l1_orders_2(U_74) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
( ! [U_74] :
( v3_waybel_3(U_74)
| ~ sP28(U_74) )
& ! [U_74] :
( v1_yellow_0(U_74)
| ~ sP28(U_74) )
& ! [U_74] :
( v1_lattice3(U_74)
| ~ sP28(U_74) )
& ! [U_74] :
( v4_orders_2(U_74)
| ~ sP28(U_74) )
& ! [U_74] :
( v3_orders_2(U_74)
| ~ sP28(U_74) )
& ! [U_74] :
( v2_orders_2(U_74)
| ~ sP28(U_74) )
& ! [U_74] :
( ~ v3_struct_0(U_74)
| ~ sP28(U_74) )
& ! [U_74] :
( sP28(U_74)
| ~ v2_waybel_3(U_74)
| ~ v24_waybel_0(U_74)
| ~ v1_yellow_0(U_74)
| ~ v1_lattice3(U_74)
| ~ v4_orders_2(U_74)
| ~ v3_orders_2(U_74)
| ~ v2_orders_2(U_74)
| ~ l1_orders_2(U_74) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP28])],[f_46_2]) ).
cnf(f_46_4,plain,
( sP28(U_74)
| ~ v2_waybel_3(U_74)
| ~ v24_waybel_0(U_74)
| ~ v1_yellow_0(U_74)
| ~ v1_lattice3(U_74)
| ~ v4_orders_2(U_74)
| ~ v3_orders_2(U_74)
| ~ v2_orders_2(U_74)
| ~ l1_orders_2(U_74) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_5,plain,
( ~ v3_struct_0(U_74)
| ~ sP28(U_74) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_6,plain,
( v2_orders_2(U_74)
| ~ sP28(U_74) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_7,plain,
( v3_orders_2(U_74)
| ~ sP28(U_74) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_8,plain,
( v4_orders_2(U_74)
| ~ sP28(U_74) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_9,plain,
( v1_lattice3(U_74)
| ~ sP28(U_74) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_10,plain,
( v1_yellow_0(U_74)
| ~ sP28(U_74) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_11,plain,
( v3_waybel_3(U_74)
| ~ sP28(U_74) ),
inference(clausify,[status(thm)],[f_46_3]) ).
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_75] :
( v3_yellow_0(U_75)
| ~ v2_yellow_0(U_75)
| ~ v1_yellow_0(U_75)
| ~ l1_orders_2(U_75) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
! [U_75] :
( v3_yellow_0(U_75)
| ~ v2_yellow_0(U_75)
| ~ v1_yellow_0(U_75)
| ~ l1_orders_2(U_75) ),
inference(definitional_conversion,[status(esa)],[f_47_2]) ).
cnf(f_47_4,plain,
( v3_yellow_0(U_75)
| ~ v2_yellow_0(U_75)
| ~ v1_yellow_0(U_75)
| ~ l1_orders_2(U_75) ),
inference(clausify,[status(thm)],[f_47_3]) ).
fof(f_48_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_48_2,plain,
! [U_78,U_77] :
( ! [U_76] :
( ( v21_waybel_0(U_76,U_78,U_77)
& v19_waybel_0(U_76,U_78,U_77)
& v1_funct_2(U_76,u1_struct_0(U_78),u1_struct_0(U_77))
& v1_funct_1(U_76) )
| ~ v17_waybel_0(U_76,U_78,U_77)
| ~ v1_funct_2(U_76,u1_struct_0(U_78),u1_struct_0(U_77))
| ~ v1_funct_1(U_76)
| ~ m1_relset_1(U_76,u1_struct_0(U_78),u1_struct_0(U_77)) )
| ~ l1_orders_2(U_77)
| v3_struct_0(U_77)
| ~ l1_orders_2(U_78)
| v3_struct_0(U_78) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
( ! [U_78,U_77,U_76] :
( v21_waybel_0(U_76,U_78,U_77)
| ~ sP29(U_78,U_77,U_76) )
& ! [U_78,U_77,U_76] :
( v19_waybel_0(U_76,U_78,U_77)
| ~ sP29(U_78,U_77,U_76) )
& ! [U_78,U_77,U_76] :
( v1_funct_2(U_76,u1_struct_0(U_78),u1_struct_0(U_77))
| ~ sP29(U_78,U_77,U_76) )
& ! [U_78,U_77,U_76] :
( v1_funct_1(U_76)
| ~ sP29(U_78,U_77,U_76) )
& ! [U_78,U_77,U_76] :
( sP29(U_78,U_77,U_76)
| ~ v17_waybel_0(U_76,U_78,U_77)
| ~ v1_funct_2(U_76,u1_struct_0(U_78),u1_struct_0(U_77))
| ~ v1_funct_1(U_76)
| ~ m1_relset_1(U_76,u1_struct_0(U_78),u1_struct_0(U_77))
| ~ l1_orders_2(U_77)
| v3_struct_0(U_77)
| ~ l1_orders_2(U_78)
| v3_struct_0(U_78) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP29])],[f_48_2]) ).
cnf(f_48_4,plain,
( sP29(U_78,U_77,U_76)
| ~ v17_waybel_0(U_76,U_78,U_77)
| ~ v1_funct_2(U_76,u1_struct_0(U_78),u1_struct_0(U_77))
| ~ v1_funct_1(U_76)
| ~ m1_relset_1(U_76,u1_struct_0(U_78),u1_struct_0(U_77))
| ~ l1_orders_2(U_77)
| v3_struct_0(U_77)
| ~ l1_orders_2(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_48_3]) ).
cnf(f_48_5,plain,
( v1_funct_1(U_76)
| ~ sP29(U_78,U_77,U_76) ),
inference(clausify,[status(thm)],[f_48_3]) ).
cnf(f_48_6,plain,
( v1_funct_2(U_76,u1_struct_0(U_78),u1_struct_0(U_77))
| ~ sP29(U_78,U_77,U_76) ),
inference(clausify,[status(thm)],[f_48_3]) ).
cnf(f_48_7,plain,
( v19_waybel_0(U_76,U_78,U_77)
| ~ sP29(U_78,U_77,U_76) ),
inference(clausify,[status(thm)],[f_48_3]) ).
cnf(f_48_8,plain,
( v21_waybel_0(U_76,U_78,U_77)
| ~ sP29(U_78,U_77,U_76) ),
inference(clausify,[status(thm)],[f_48_3]) ).
fof(f_49_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_49_2,plain,
! [U_80] :
( ! [U_79] :
( ( v4_yellow_0(U_79,U_80)
& v2_orders_2(U_79) )
| ~ v4_yellow_0(U_79,U_80)
| ~ m1_yellow_0(U_79,U_80) )
| ~ l1_orders_2(U_80)
| ~ v2_orders_2(U_80) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
( ! [U_80,U_79] :
( v4_yellow_0(U_79,U_80)
| ~ sP30(U_80,U_79) )
& ! [U_80,U_79] :
( v2_orders_2(U_79)
| ~ sP30(U_80,U_79) )
& ! [U_80,U_79] :
( sP30(U_80,U_79)
| ~ v4_yellow_0(U_79,U_80)
| ~ m1_yellow_0(U_79,U_80)
| ~ l1_orders_2(U_80)
| ~ v2_orders_2(U_80) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP30])],[f_49_2]) ).
cnf(f_49_4,plain,
( sP30(U_80,U_79)
| ~ v4_yellow_0(U_79,U_80)
| ~ m1_yellow_0(U_79,U_80)
| ~ l1_orders_2(U_80)
| ~ v2_orders_2(U_80) ),
inference(clausify,[status(thm)],[f_49_3]) ).
cnf(f_49_5,plain,
( v2_orders_2(U_79)
| ~ sP30(U_80,U_79) ),
inference(clausify,[status(thm)],[f_49_3]) ).
cnf(f_49_6,plain,
( v4_yellow_0(U_79,U_80)
| ~ sP30(U_80,U_79) ),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_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_50_2,plain,
! [U_83,U_82] :
( ! [U_81] :
( ( v22_waybel_0(U_81,U_83,U_82)
& v20_waybel_0(U_81,U_83,U_82)
& v1_funct_2(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
& v1_funct_1(U_81) )
| ~ v18_waybel_0(U_81,U_83,U_82)
| ~ v1_funct_2(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ v1_funct_1(U_81)
| ~ m1_relset_1(U_81,u1_struct_0(U_83),u1_struct_0(U_82)) )
| ~ l1_orders_2(U_82)
| v3_struct_0(U_82)
| ~ l1_orders_2(U_83)
| v3_struct_0(U_83) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
( ! [U_82,U_83,U_81] :
( v22_waybel_0(U_81,U_83,U_82)
| ~ sP31(U_82,U_83,U_81) )
& ! [U_82,U_83,U_81] :
( v20_waybel_0(U_81,U_83,U_82)
| ~ sP31(U_82,U_83,U_81) )
& ! [U_82,U_83,U_81] :
( v1_funct_2(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ sP31(U_82,U_83,U_81) )
& ! [U_82,U_83,U_81] :
( v1_funct_1(U_81)
| ~ sP31(U_82,U_83,U_81) )
& ! [U_82,U_83,U_81] :
( sP31(U_82,U_83,U_81)
| ~ v18_waybel_0(U_81,U_83,U_82)
| ~ v1_funct_2(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ v1_funct_1(U_81)
| ~ m1_relset_1(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ l1_orders_2(U_82)
| v3_struct_0(U_82)
| ~ l1_orders_2(U_83)
| v3_struct_0(U_83) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP31])],[f_50_2]) ).
cnf(f_50_4,plain,
( sP31(U_82,U_83,U_81)
| ~ v18_waybel_0(U_81,U_83,U_82)
| ~ v1_funct_2(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ v1_funct_1(U_81)
| ~ m1_relset_1(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ l1_orders_2(U_82)
| v3_struct_0(U_82)
| ~ l1_orders_2(U_83)
| v3_struct_0(U_83) ),
inference(clausify,[status(thm)],[f_50_3]) ).
cnf(f_50_5,plain,
( v1_funct_1(U_81)
| ~ sP31(U_82,U_83,U_81) ),
inference(clausify,[status(thm)],[f_50_3]) ).
cnf(f_50_6,plain,
( v1_funct_2(U_81,u1_struct_0(U_83),u1_struct_0(U_82))
| ~ sP31(U_82,U_83,U_81) ),
inference(clausify,[status(thm)],[f_50_3]) ).
cnf(f_50_7,plain,
( v20_waybel_0(U_81,U_83,U_82)
| ~ sP31(U_82,U_83,U_81) ),
inference(clausify,[status(thm)],[f_50_3]) ).
cnf(f_50_8,plain,
( v22_waybel_0(U_81,U_83,U_82)
| ~ sP31(U_82,U_83,U_81) ),
inference(clausify,[status(thm)],[f_50_3]) ).
fof(f_51_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_51_2,plain,
! [U_85] :
( ! [U_84] :
( ( v4_yellow_0(U_84,U_85)
& v3_orders_2(U_84) )
| ~ v4_yellow_0(U_84,U_85)
| ~ m1_yellow_0(U_84,U_85) )
| ~ l1_orders_2(U_85)
| ~ v3_orders_2(U_85) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
( ! [U_84,U_85] :
( v4_yellow_0(U_84,U_85)
| ~ sP32(U_84,U_85) )
& ! [U_84,U_85] :
( v3_orders_2(U_84)
| ~ sP32(U_84,U_85) )
& ! [U_84,U_85] :
( sP32(U_84,U_85)
| ~ v4_yellow_0(U_84,U_85)
| ~ m1_yellow_0(U_84,U_85)
| ~ l1_orders_2(U_85)
| ~ v3_orders_2(U_85) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP32])],[f_51_2]) ).
cnf(f_51_4,plain,
( sP32(U_84,U_85)
| ~ v4_yellow_0(U_84,U_85)
| ~ m1_yellow_0(U_84,U_85)
| ~ l1_orders_2(U_85)
| ~ v3_orders_2(U_85) ),
inference(clausify,[status(thm)],[f_51_3]) ).
cnf(f_51_5,plain,
( v3_orders_2(U_84)
| ~ sP32(U_84,U_85) ),
inference(clausify,[status(thm)],[f_51_3]) ).
cnf(f_51_6,plain,
( v4_yellow_0(U_84,U_85)
| ~ sP32(U_84,U_85) ),
inference(clausify,[status(thm)],[f_51_3]) ).
fof(f_52_1,plain,
! [A,B] :
( ! [C] :
( ( v5_orders_3(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v2_funct_1(C)
& v1_funct_1(C) )
| ~ v23_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)],[cc8_waybel_0]) ).
fof(f_52_2,plain,
! [U_88,U_87] :
( ! [U_86] :
( ( v5_orders_3(U_86,U_88,U_87)
& v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
& v2_funct_1(U_86)
& v1_funct_1(U_86) )
| ~ v23_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]) ).
fof(f_52_3,plain,
( ! [U_86,U_87,U_88] :
( v5_orders_3(U_86,U_88,U_87)
| ~ sP33(U_86,U_87,U_88) )
& ! [U_86,U_87,U_88] :
( v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ sP33(U_86,U_87,U_88) )
& ! [U_86,U_87,U_88] :
( v2_funct_1(U_86)
| ~ sP33(U_86,U_87,U_88) )
& ! [U_86,U_87,U_88] :
( v1_funct_1(U_86)
| ~ sP33(U_86,U_87,U_88) )
& ! [U_86,U_87,U_88] :
( sP33(U_86,U_87,U_88)
| ~ v23_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(definitional_conversion,[status(esa),new_symbols(definitional,[sP33])],[f_52_2]) ).
cnf(f_52_4,plain,
( sP33(U_86,U_87,U_88)
| ~ v23_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_3]) ).
cnf(f_52_5,plain,
( v1_funct_1(U_86)
| ~ sP33(U_86,U_87,U_88) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_6,plain,
( v2_funct_1(U_86)
| ~ sP33(U_86,U_87,U_88) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_7,plain,
( v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ sP33(U_86,U_87,U_88) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_8,plain,
( v5_orders_3(U_86,U_88,U_87)
| ~ sP33(U_86,U_87,U_88) ),
inference(clausify,[status(thm)],[f_52_3]) ).
fof(f_53_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_53_2,plain,
! [U_90] :
( ! [U_89] :
( ( v4_yellow_0(U_89,U_90)
& v4_orders_2(U_89) )
| ~ v4_yellow_0(U_89,U_90)
| ~ m1_yellow_0(U_89,U_90) )
| ~ l1_orders_2(U_90)
| ~ v4_orders_2(U_90) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
( ! [U_90,U_89] :
( v4_yellow_0(U_89,U_90)
| ~ sP34(U_90,U_89) )
& ! [U_90,U_89] :
( v4_orders_2(U_89)
| ~ sP34(U_90,U_89) )
& ! [U_90,U_89] :
( sP34(U_90,U_89)
| ~ v4_yellow_0(U_89,U_90)
| ~ m1_yellow_0(U_89,U_90)
| ~ l1_orders_2(U_90)
| ~ v4_orders_2(U_90) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP34])],[f_53_2]) ).
cnf(f_53_4,plain,
( sP34(U_90,U_89)
| ~ v4_yellow_0(U_89,U_90)
| ~ m1_yellow_0(U_89,U_90)
| ~ l1_orders_2(U_90)
| ~ v4_orders_2(U_90) ),
inference(clausify,[status(thm)],[f_53_3]) ).
cnf(f_53_5,plain,
( v4_orders_2(U_89)
| ~ sP34(U_90,U_89) ),
inference(clausify,[status(thm)],[f_53_3]) ).
cnf(f_53_6,plain,
( v4_yellow_0(U_89,U_90)
| ~ sP34(U_90,U_89) ),
inference(clausify,[status(thm)],[f_53_3]) ).
fof(f_54_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_54_2,plain,
! [U_91] :
( ( v2_yellow_0(U_91)
& v1_lattice3(U_91)
& v2_orders_2(U_91)
& ~ v3_struct_0(U_91) )
| ~ v24_waybel_0(U_91)
| ~ v1_lattice3(U_91)
| ~ v2_orders_2(U_91)
| ~ l1_orders_2(U_91) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
( ! [U_91] :
( v2_yellow_0(U_91)
| ~ sP35(U_91) )
& ! [U_91] :
( v1_lattice3(U_91)
| ~ sP35(U_91) )
& ! [U_91] :
( v2_orders_2(U_91)
| ~ sP35(U_91) )
& ! [U_91] :
( ~ v3_struct_0(U_91)
| ~ sP35(U_91) )
& ! [U_91] :
( sP35(U_91)
| ~ v24_waybel_0(U_91)
| ~ v1_lattice3(U_91)
| ~ v2_orders_2(U_91)
| ~ l1_orders_2(U_91) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP35])],[f_54_2]) ).
cnf(f_54_4,plain,
( sP35(U_91)
| ~ v24_waybel_0(U_91)
| ~ v1_lattice3(U_91)
| ~ v2_orders_2(U_91)
| ~ l1_orders_2(U_91) ),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_5,plain,
( ~ v3_struct_0(U_91)
| ~ sP35(U_91) ),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_6,plain,
( v2_orders_2(U_91)
| ~ sP35(U_91) ),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_7,plain,
( v1_lattice3(U_91)
| ~ sP35(U_91) ),
inference(clausify,[status(thm)],[f_54_3]) ).
cnf(f_54_8,plain,
( v2_yellow_0(U_91)
| ~ sP35(U_91) ),
inference(clausify,[status(thm)],[f_54_3]) ).
fof(f_55_1,plain,
! [A] :
( ! [B] :
( v5_yellow_0(B,A)
| ~ v7_yellow_0(B,A)
| ~ m1_yellow_0(B,A) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc9_yellow_0]) ).
fof(f_55_2,plain,
! [U_93] :
( ! [U_92] :
( v5_yellow_0(U_92,U_93)
| ~ v7_yellow_0(U_92,U_93)
| ~ m1_yellow_0(U_92,U_93) )
| ~ l1_orders_2(U_93)
| v3_struct_0(U_93) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
! [U_93,U_92] :
( v5_yellow_0(U_92,U_93)
| ~ v7_yellow_0(U_92,U_93)
| ~ m1_yellow_0(U_92,U_93)
| ~ l1_orders_2(U_93)
| v3_struct_0(U_93) ),
inference(definitional_conversion,[status(esa)],[f_55_2]) ).
cnf(f_55_4,plain,
( v5_yellow_0(U_92,U_93)
| ~ v7_yellow_0(U_92,U_93)
| ~ m1_yellow_0(U_92,U_93)
| ~ l1_orders_2(U_93)
| v3_struct_0(U_93) ),
inference(clausify,[status(thm)],[f_55_3]) ).
fof(f_56_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k2_waybel_1(A,B,C) = k8_relat_1(u1_struct_0(k2_yellow_2(A,B,C)),C)
| ~ m2_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)
| v3_struct_0(B) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d16_waybel_1]) ).
fof(f_56_2,plain,
! [U_96] :
( ! [U_95] :
( ! [U_94] :
( k2_waybel_1(U_96,U_95,U_94) = k8_relat_1(u1_struct_0(k2_yellow_2(U_96,U_95,U_94)),U_94)
| ~ m2_relset_1(U_94,u1_struct_0(U_96),u1_struct_0(U_95))
| ~ v1_funct_2(U_94,u1_struct_0(U_96),u1_struct_0(U_95))
| ~ v1_funct_1(U_94) )
| ~ l1_orders_2(U_95)
| v3_struct_0(U_95) )
| ~ l1_orders_2(U_96)
| v3_struct_0(U_96) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
! [U_95,U_96,U_94] :
( k2_waybel_1(U_96,U_95,U_94) = k8_relat_1(u1_struct_0(k2_yellow_2(U_96,U_95,U_94)),U_94)
| ~ m2_relset_1(U_94,u1_struct_0(U_96),u1_struct_0(U_95))
| ~ v1_funct_2(U_94,u1_struct_0(U_96),u1_struct_0(U_95))
| ~ v1_funct_1(U_94)
| ~ l1_orders_2(U_95)
| v3_struct_0(U_95)
| ~ l1_orders_2(U_96)
| v3_struct_0(U_96) ),
inference(definitional_conversion,[status(esa)],[f_56_2]) ).
cnf(f_56_4,plain,
( k2_waybel_1(U_96,U_95,U_94) = k8_relat_1(u1_struct_0(k2_yellow_2(U_96,U_95,U_94)),U_94)
| ~ m2_relset_1(U_94,u1_struct_0(U_96),u1_struct_0(U_95))
| ~ v1_funct_2(U_94,u1_struct_0(U_96),u1_struct_0(U_95))
| ~ v1_funct_1(U_94)
| ~ l1_orders_2(U_95)
| v3_struct_0(U_95)
| ~ l1_orders_2(U_96)
| v3_struct_0(U_96) ),
inference(clausify,[status(thm)],[f_56_3]) ).
fof(f_57_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( k3_waybel_1(A,B,C) = k7_grcat_1(k2_yellow_2(A,B,C))
| ~ m2_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)
| v3_struct_0(B) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d17_waybel_1]) ).
fof(f_57_2,plain,
! [U_99] :
( ! [U_98] :
( ! [U_97] :
( k3_waybel_1(U_99,U_98,U_97) = k7_grcat_1(k2_yellow_2(U_99,U_98,U_97))
| ~ m2_relset_1(U_97,u1_struct_0(U_99),u1_struct_0(U_98))
| ~ v1_funct_2(U_97,u1_struct_0(U_99),u1_struct_0(U_98))
| ~ v1_funct_1(U_97) )
| ~ l1_orders_2(U_98)
| v3_struct_0(U_98) )
| ~ l1_orders_2(U_99)
| v3_struct_0(U_99) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
! [U_97,U_98,U_99] :
( k3_waybel_1(U_99,U_98,U_97) = k7_grcat_1(k2_yellow_2(U_99,U_98,U_97))
| ~ m2_relset_1(U_97,u1_struct_0(U_99),u1_struct_0(U_98))
| ~ v1_funct_2(U_97,u1_struct_0(U_99),u1_struct_0(U_98))
| ~ v1_funct_1(U_97)
| ~ l1_orders_2(U_98)
| v3_struct_0(U_98)
| ~ l1_orders_2(U_99)
| v3_struct_0(U_99) ),
inference(definitional_conversion,[status(esa)],[f_57_2]) ).
cnf(f_57_4,plain,
( k3_waybel_1(U_99,U_98,U_97) = k7_grcat_1(k2_yellow_2(U_99,U_98,U_97))
| ~ m2_relset_1(U_97,u1_struct_0(U_99),u1_struct_0(U_98))
| ~ v1_funct_2(U_97,u1_struct_0(U_99),u1_struct_0(U_98))
| ~ v1_funct_1(U_97)
| ~ l1_orders_2(U_98)
| v3_struct_0(U_98)
| ~ l1_orders_2(U_99)
| v3_struct_0(U_99) ),
inference(clausify,[status(thm)],[f_57_3]) ).
fof(f_58_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_58_2,plain,
! [U_101,U_100] :
( ( l1_orders_2(g1_orders_2(U_101,U_100))
& v1_orders_2(g1_orders_2(U_101,U_100)) )
| ~ m1_relset_1(U_100,U_101,U_101) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
( ! [U_101,U_100] :
( l1_orders_2(g1_orders_2(U_101,U_100))
| ~ sP36(U_101,U_100) )
& ! [U_101,U_100] :
( v1_orders_2(g1_orders_2(U_101,U_100))
| ~ sP36(U_101,U_100) )
& ! [U_101,U_100] :
( sP36(U_101,U_100)
| ~ m1_relset_1(U_100,U_101,U_101) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP36])],[f_58_2]) ).
cnf(f_58_4,plain,
( sP36(U_101,U_100)
| ~ m1_relset_1(U_100,U_101,U_101) ),
inference(clausify,[status(thm)],[f_58_3]) ).
cnf(f_58_5,plain,
( v1_orders_2(g1_orders_2(U_101,U_100))
| ~ sP36(U_101,U_100) ),
inference(clausify,[status(thm)],[f_58_3]) ).
cnf(f_58_6,plain,
( l1_orders_2(g1_orders_2(U_101,U_100))
| ~ sP36(U_101,U_100) ),
inference(clausify,[status(thm)],[f_58_3]) ).
fof(f_59_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_59_2,plain,
! [U_104,U_103,U_102] :
( ( m2_relset_1(k1_waybel34(U_104,U_103,U_102),u1_struct_0(U_103),u1_struct_0(U_104))
& v1_funct_2(k1_waybel34(U_104,U_103,U_102),u1_struct_0(U_103),u1_struct_0(U_104))
& v1_funct_1(k1_waybel34(U_104,U_103,U_102)) )
| ~ m1_relset_1(U_102,u1_struct_0(U_104),u1_struct_0(U_103))
| ~ v1_funct_2(U_102,u1_struct_0(U_104),u1_struct_0(U_103))
| ~ v1_funct_1(U_102)
| ~ l1_orders_2(U_103)
| ~ v2_lattice3(U_103)
| ~ v1_lattice3(U_103)
| ~ v4_orders_2(U_103)
| ~ v3_orders_2(U_103)
| ~ v2_orders_2(U_103)
| ~ l1_orders_2(U_104)
| ~ v2_lattice3(U_104)
| ~ v1_lattice3(U_104)
| ~ v4_orders_2(U_104)
| ~ v3_orders_2(U_104)
| ~ v2_orders_2(U_104) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
( ! [U_104,U_102,U_103] :
( m2_relset_1(k1_waybel34(U_104,U_103,U_102),u1_struct_0(U_103),u1_struct_0(U_104))
| ~ sP37(U_104,U_102,U_103) )
& ! [U_104,U_102,U_103] :
( v1_funct_2(k1_waybel34(U_104,U_103,U_102),u1_struct_0(U_103),u1_struct_0(U_104))
| ~ sP37(U_104,U_102,U_103) )
& ! [U_104,U_102,U_103] :
( v1_funct_1(k1_waybel34(U_104,U_103,U_102))
| ~ sP37(U_104,U_102,U_103) )
& ! [U_104,U_102,U_103] :
( sP37(U_104,U_102,U_103)
| ~ m1_relset_1(U_102,u1_struct_0(U_104),u1_struct_0(U_103))
| ~ v1_funct_2(U_102,u1_struct_0(U_104),u1_struct_0(U_103))
| ~ v1_funct_1(U_102)
| ~ l1_orders_2(U_103)
| ~ v2_lattice3(U_103)
| ~ v1_lattice3(U_103)
| ~ v4_orders_2(U_103)
| ~ v3_orders_2(U_103)
| ~ v2_orders_2(U_103)
| ~ l1_orders_2(U_104)
| ~ v2_lattice3(U_104)
| ~ v1_lattice3(U_104)
| ~ v4_orders_2(U_104)
| ~ v3_orders_2(U_104)
| ~ v2_orders_2(U_104) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP37])],[f_59_2]) ).
cnf(f_59_4,plain,
( sP37(U_104,U_102,U_103)
| ~ m1_relset_1(U_102,u1_struct_0(U_104),u1_struct_0(U_103))
| ~ v1_funct_2(U_102,u1_struct_0(U_104),u1_struct_0(U_103))
| ~ v1_funct_1(U_102)
| ~ l1_orders_2(U_103)
| ~ v2_lattice3(U_103)
| ~ v1_lattice3(U_103)
| ~ v4_orders_2(U_103)
| ~ v3_orders_2(U_103)
| ~ v2_orders_2(U_103)
| ~ l1_orders_2(U_104)
| ~ v2_lattice3(U_104)
| ~ v1_lattice3(U_104)
| ~ v4_orders_2(U_104)
| ~ v3_orders_2(U_104)
| ~ v2_orders_2(U_104) ),
inference(clausify,[status(thm)],[f_59_3]) ).
cnf(f_59_5,plain,
( v1_funct_1(k1_waybel34(U_104,U_103,U_102))
| ~ sP37(U_104,U_102,U_103) ),
inference(clausify,[status(thm)],[f_59_3]) ).
cnf(f_59_6,plain,
( v1_funct_2(k1_waybel34(U_104,U_103,U_102),u1_struct_0(U_103),u1_struct_0(U_104))
| ~ sP37(U_104,U_102,U_103) ),
inference(clausify,[status(thm)],[f_59_3]) ).
cnf(f_59_7,plain,
( m2_relset_1(k1_waybel34(U_104,U_103,U_102),u1_struct_0(U_103),u1_struct_0(U_104))
| ~ sP37(U_104,U_102,U_103) ),
inference(clausify,[status(thm)],[f_59_3]) ).
fof(f_60_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
fof(f_60_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_60_1]) ).
cnf(f_60_3,plain,
$true,
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
fof(f_61_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_61_1]) ).
cnf(f_61_3,plain,
$true,
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_1,plain,
! [A,B,C] :
( ( m2_relset_1(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(k2_waybel34(A,B,C)) )
| ~ m1_relset_1(C,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
| ~ 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_k2_waybel34]) ).
fof(f_62_2,plain,
! [U_107,U_106,U_105] :
( ( m2_relset_1(k2_waybel34(U_107,U_106,U_105),u1_struct_0(U_107),u1_struct_0(U_106))
& v1_funct_2(k2_waybel34(U_107,U_106,U_105),u1_struct_0(U_107),u1_struct_0(U_106))
& v1_funct_1(k2_waybel34(U_107,U_106,U_105)) )
| ~ m1_relset_1(U_105,u1_struct_0(U_106),u1_struct_0(U_107))
| ~ v1_funct_2(U_105,u1_struct_0(U_106),u1_struct_0(U_107))
| ~ v1_funct_1(U_105)
| ~ l1_orders_2(U_106)
| ~ v2_lattice3(U_106)
| ~ v1_lattice3(U_106)
| ~ v4_orders_2(U_106)
| ~ v3_orders_2(U_106)
| ~ v2_orders_2(U_106)
| ~ l1_orders_2(U_107)
| ~ v2_lattice3(U_107)
| ~ v1_lattice3(U_107)
| ~ v4_orders_2(U_107)
| ~ v3_orders_2(U_107)
| ~ v2_orders_2(U_107) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
( ! [U_105,U_106,U_107] :
( m2_relset_1(k2_waybel34(U_107,U_106,U_105),u1_struct_0(U_107),u1_struct_0(U_106))
| ~ sP38(U_105,U_106,U_107) )
& ! [U_105,U_106,U_107] :
( v1_funct_2(k2_waybel34(U_107,U_106,U_105),u1_struct_0(U_107),u1_struct_0(U_106))
| ~ sP38(U_105,U_106,U_107) )
& ! [U_105,U_106,U_107] :
( v1_funct_1(k2_waybel34(U_107,U_106,U_105))
| ~ sP38(U_105,U_106,U_107) )
& ! [U_105,U_106,U_107] :
( sP38(U_105,U_106,U_107)
| ~ m1_relset_1(U_105,u1_struct_0(U_106),u1_struct_0(U_107))
| ~ v1_funct_2(U_105,u1_struct_0(U_106),u1_struct_0(U_107))
| ~ v1_funct_1(U_105)
| ~ l1_orders_2(U_106)
| ~ v2_lattice3(U_106)
| ~ v1_lattice3(U_106)
| ~ v4_orders_2(U_106)
| ~ v3_orders_2(U_106)
| ~ v2_orders_2(U_106)
| ~ l1_orders_2(U_107)
| ~ v2_lattice3(U_107)
| ~ v1_lattice3(U_107)
| ~ v4_orders_2(U_107)
| ~ v3_orders_2(U_107)
| ~ v2_orders_2(U_107) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP38])],[f_62_2]) ).
cnf(f_62_4,plain,
( sP38(U_105,U_106,U_107)
| ~ m1_relset_1(U_105,u1_struct_0(U_106),u1_struct_0(U_107))
| ~ v1_funct_2(U_105,u1_struct_0(U_106),u1_struct_0(U_107))
| ~ v1_funct_1(U_105)
| ~ l1_orders_2(U_106)
| ~ v2_lattice3(U_106)
| ~ v1_lattice3(U_106)
| ~ v4_orders_2(U_106)
| ~ v3_orders_2(U_106)
| ~ v2_orders_2(U_106)
| ~ l1_orders_2(U_107)
| ~ v2_lattice3(U_107)
| ~ v1_lattice3(U_107)
| ~ v4_orders_2(U_107)
| ~ v3_orders_2(U_107)
| ~ v2_orders_2(U_107) ),
inference(clausify,[status(thm)],[f_62_3]) ).
cnf(f_62_5,plain,
( v1_funct_1(k2_waybel34(U_107,U_106,U_105))
| ~ sP38(U_105,U_106,U_107) ),
inference(clausify,[status(thm)],[f_62_3]) ).
cnf(f_62_6,plain,
( v1_funct_2(k2_waybel34(U_107,U_106,U_105),u1_struct_0(U_107),u1_struct_0(U_106))
| ~ sP38(U_105,U_106,U_107) ),
inference(clausify,[status(thm)],[f_62_3]) ).
cnf(f_62_7,plain,
( m2_relset_1(k2_waybel34(U_107,U_106,U_105),u1_struct_0(U_107),u1_struct_0(U_106))
| ~ sP38(U_105,U_106,U_107) ),
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_1,plain,
! [A,B,C] :
( ( m2_relset_1(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v1_funct_1(k2_waybel_1(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)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_waybel_1]) ).
fof(f_63_2,plain,
! [U_110,U_109,U_108] :
( ( m2_relset_1(k2_waybel_1(U_110,U_109,U_108),u1_struct_0(U_110),u1_struct_0(k2_yellow_2(U_110,U_109,U_108)))
& v1_funct_2(k2_waybel_1(U_110,U_109,U_108),u1_struct_0(U_110),u1_struct_0(k2_yellow_2(U_110,U_109,U_108)))
& v1_funct_1(k2_waybel_1(U_110,U_109,U_108)) )
| ~ m1_relset_1(U_108,u1_struct_0(U_110),u1_struct_0(U_109))
| ~ v1_funct_2(U_108,u1_struct_0(U_110),u1_struct_0(U_109))
| ~ v1_funct_1(U_108)
| ~ l1_orders_2(U_109)
| v3_struct_0(U_109)
| ~ l1_orders_2(U_110)
| v3_struct_0(U_110) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
( ! [U_108,U_109,U_110] :
( m2_relset_1(k2_waybel_1(U_110,U_109,U_108),u1_struct_0(U_110),u1_struct_0(k2_yellow_2(U_110,U_109,U_108)))
| ~ sP39(U_108,U_109,U_110) )
& ! [U_108,U_109,U_110] :
( v1_funct_2(k2_waybel_1(U_110,U_109,U_108),u1_struct_0(U_110),u1_struct_0(k2_yellow_2(U_110,U_109,U_108)))
| ~ sP39(U_108,U_109,U_110) )
& ! [U_108,U_109,U_110] :
( v1_funct_1(k2_waybel_1(U_110,U_109,U_108))
| ~ sP39(U_108,U_109,U_110) )
& ! [U_108,U_109,U_110] :
( sP39(U_108,U_109,U_110)
| ~ m1_relset_1(U_108,u1_struct_0(U_110),u1_struct_0(U_109))
| ~ v1_funct_2(U_108,u1_struct_0(U_110),u1_struct_0(U_109))
| ~ v1_funct_1(U_108)
| ~ l1_orders_2(U_109)
| v3_struct_0(U_109)
| ~ l1_orders_2(U_110)
| v3_struct_0(U_110) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP39])],[f_63_2]) ).
cnf(f_63_4,plain,
( sP39(U_108,U_109,U_110)
| ~ m1_relset_1(U_108,u1_struct_0(U_110),u1_struct_0(U_109))
| ~ v1_funct_2(U_108,u1_struct_0(U_110),u1_struct_0(U_109))
| ~ v1_funct_1(U_108)
| ~ l1_orders_2(U_109)
| v3_struct_0(U_109)
| ~ l1_orders_2(U_110)
| v3_struct_0(U_110) ),
inference(clausify,[status(thm)],[f_63_3]) ).
cnf(f_63_5,plain,
( v1_funct_1(k2_waybel_1(U_110,U_109,U_108))
| ~ sP39(U_108,U_109,U_110) ),
inference(clausify,[status(thm)],[f_63_3]) ).
cnf(f_63_6,plain,
( v1_funct_2(k2_waybel_1(U_110,U_109,U_108),u1_struct_0(U_110),u1_struct_0(k2_yellow_2(U_110,U_109,U_108)))
| ~ sP39(U_108,U_109,U_110) ),
inference(clausify,[status(thm)],[f_63_3]) ).
cnf(f_63_7,plain,
( m2_relset_1(k2_waybel_1(U_110,U_109,U_108),u1_struct_0(U_110),u1_struct_0(k2_yellow_2(U_110,U_109,U_108)))
| ~ sP39(U_108,U_109,U_110) ),
inference(clausify,[status(thm)],[f_63_3]) ).
fof(f_64_1,plain,
! [A,B,C] :
( ( m1_yellow_0(k2_yellow_2(A,B,C),B)
& v4_yellow_0(k2_yellow_2(A,B,C),B)
& v1_orders_2(k2_yellow_2(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)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_yellow_2]) ).
fof(f_64_2,plain,
! [U_113,U_112,U_111] :
( ( m1_yellow_0(k2_yellow_2(U_113,U_112,U_111),U_112)
& v4_yellow_0(k2_yellow_2(U_113,U_112,U_111),U_112)
& v1_orders_2(k2_yellow_2(U_113,U_112,U_111)) )
| ~ m1_relset_1(U_111,u1_struct_0(U_113),u1_struct_0(U_112))
| ~ v1_funct_2(U_111,u1_struct_0(U_113),u1_struct_0(U_112))
| ~ v1_funct_1(U_111)
| ~ l1_orders_2(U_112)
| v3_struct_0(U_112)
| ~ l1_orders_2(U_113)
| v3_struct_0(U_113) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
( ! [U_112,U_113,U_111] :
( m1_yellow_0(k2_yellow_2(U_113,U_112,U_111),U_112)
| ~ sP40(U_112,U_113,U_111) )
& ! [U_112,U_113,U_111] :
( v4_yellow_0(k2_yellow_2(U_113,U_112,U_111),U_112)
| ~ sP40(U_112,U_113,U_111) )
& ! [U_112,U_113,U_111] :
( v1_orders_2(k2_yellow_2(U_113,U_112,U_111))
| ~ sP40(U_112,U_113,U_111) )
& ! [U_112,U_113,U_111] :
( sP40(U_112,U_113,U_111)
| ~ m1_relset_1(U_111,u1_struct_0(U_113),u1_struct_0(U_112))
| ~ v1_funct_2(U_111,u1_struct_0(U_113),u1_struct_0(U_112))
| ~ v1_funct_1(U_111)
| ~ l1_orders_2(U_112)
| v3_struct_0(U_112)
| ~ l1_orders_2(U_113)
| v3_struct_0(U_113) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP40])],[f_64_2]) ).
cnf(f_64_4,plain,
( sP40(U_112,U_113,U_111)
| ~ m1_relset_1(U_111,u1_struct_0(U_113),u1_struct_0(U_112))
| ~ v1_funct_2(U_111,u1_struct_0(U_113),u1_struct_0(U_112))
| ~ v1_funct_1(U_111)
| ~ l1_orders_2(U_112)
| v3_struct_0(U_112)
| ~ l1_orders_2(U_113)
| v3_struct_0(U_113) ),
inference(clausify,[status(thm)],[f_64_3]) ).
cnf(f_64_5,plain,
( v1_orders_2(k2_yellow_2(U_113,U_112,U_111))
| ~ sP40(U_112,U_113,U_111) ),
inference(clausify,[status(thm)],[f_64_3]) ).
cnf(f_64_6,plain,
( v4_yellow_0(k2_yellow_2(U_113,U_112,U_111),U_112)
| ~ sP40(U_112,U_113,U_111) ),
inference(clausify,[status(thm)],[f_64_3]) ).
cnf(f_64_7,plain,
( m1_yellow_0(k2_yellow_2(U_113,U_112,U_111),U_112)
| ~ sP40(U_112,U_113,U_111) ),
inference(clausify,[status(thm)],[f_64_3]) ).
fof(f_65_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_zfmisc_1]) ).
fof(f_65_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_65_1]) ).
cnf(f_65_3,plain,
$true,
inference(clausify,[status(thm)],[f_65_2]) ).
fof(f_66_1,plain,
! [A,B,C] :
( ( m2_relset_1(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_1(k3_waybel_1(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)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k3_waybel_1]) ).
fof(f_66_2,plain,
! [U_116,U_115,U_114] :
( ( m2_relset_1(k3_waybel_1(U_116,U_115,U_114),u1_struct_0(k2_yellow_2(U_116,U_115,U_114)),u1_struct_0(U_115))
& v1_funct_2(k3_waybel_1(U_116,U_115,U_114),u1_struct_0(k2_yellow_2(U_116,U_115,U_114)),u1_struct_0(U_115))
& v1_funct_1(k3_waybel_1(U_116,U_115,U_114)) )
| ~ m1_relset_1(U_114,u1_struct_0(U_116),u1_struct_0(U_115))
| ~ v1_funct_2(U_114,u1_struct_0(U_116),u1_struct_0(U_115))
| ~ v1_funct_1(U_114)
| ~ l1_orders_2(U_115)
| v3_struct_0(U_115)
| ~ l1_orders_2(U_116)
| v3_struct_0(U_116) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
( ! [U_115,U_114,U_116] :
( m2_relset_1(k3_waybel_1(U_116,U_115,U_114),u1_struct_0(k2_yellow_2(U_116,U_115,U_114)),u1_struct_0(U_115))
| ~ sP41(U_115,U_114,U_116) )
& ! [U_115,U_114,U_116] :
( v1_funct_2(k3_waybel_1(U_116,U_115,U_114),u1_struct_0(k2_yellow_2(U_116,U_115,U_114)),u1_struct_0(U_115))
| ~ sP41(U_115,U_114,U_116) )
& ! [U_115,U_114,U_116] :
( v1_funct_1(k3_waybel_1(U_116,U_115,U_114))
| ~ sP41(U_115,U_114,U_116) )
& ! [U_115,U_114,U_116] :
( sP41(U_115,U_114,U_116)
| ~ m1_relset_1(U_114,u1_struct_0(U_116),u1_struct_0(U_115))
| ~ v1_funct_2(U_114,u1_struct_0(U_116),u1_struct_0(U_115))
| ~ v1_funct_1(U_114)
| ~ l1_orders_2(U_115)
| v3_struct_0(U_115)
| ~ l1_orders_2(U_116)
| v3_struct_0(U_116) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP41])],[f_66_2]) ).
cnf(f_66_4,plain,
( sP41(U_115,U_114,U_116)
| ~ m1_relset_1(U_114,u1_struct_0(U_116),u1_struct_0(U_115))
| ~ v1_funct_2(U_114,u1_struct_0(U_116),u1_struct_0(U_115))
| ~ v1_funct_1(U_114)
| ~ l1_orders_2(U_115)
| v3_struct_0(U_115)
| ~ l1_orders_2(U_116)
| v3_struct_0(U_116) ),
inference(clausify,[status(thm)],[f_66_3]) ).
cnf(f_66_5,plain,
( v1_funct_1(k3_waybel_1(U_116,U_115,U_114))
| ~ sP41(U_115,U_114,U_116) ),
inference(clausify,[status(thm)],[f_66_3]) ).
cnf(f_66_6,plain,
( v1_funct_2(k3_waybel_1(U_116,U_115,U_114),u1_struct_0(k2_yellow_2(U_116,U_115,U_114)),u1_struct_0(U_115))
| ~ sP41(U_115,U_114,U_116) ),
inference(clausify,[status(thm)],[f_66_3]) ).
cnf(f_66_7,plain,
( m2_relset_1(k3_waybel_1(U_116,U_115,U_114),u1_struct_0(k2_yellow_2(U_116,U_115,U_114)),u1_struct_0(U_115))
| ~ sP41(U_115,U_114,U_116) ),
inference(clausify,[status(thm)],[f_66_3]) ).
fof(f_67_1,plain,
! [A] :
( ( m2_relset_1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_grcat_1(A)) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_grcat_1]) ).
fof(f_67_2,plain,
! [U_117] :
( ( m2_relset_1(k7_grcat_1(U_117),u1_struct_0(U_117),u1_struct_0(U_117))
& v1_funct_2(k7_grcat_1(U_117),u1_struct_0(U_117),u1_struct_0(U_117))
& v1_funct_1(k7_grcat_1(U_117)) )
| ~ l1_struct_0(U_117) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
( ! [U_117] :
( m2_relset_1(k7_grcat_1(U_117),u1_struct_0(U_117),u1_struct_0(U_117))
| ~ sP42(U_117) )
& ! [U_117] :
( v1_funct_2(k7_grcat_1(U_117),u1_struct_0(U_117),u1_struct_0(U_117))
| ~ sP42(U_117) )
& ! [U_117] :
( v1_funct_1(k7_grcat_1(U_117))
| ~ sP42(U_117) )
& ! [U_117] :
( sP42(U_117)
| ~ l1_struct_0(U_117) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP42])],[f_67_2]) ).
cnf(f_67_4,plain,
( sP42(U_117)
| ~ l1_struct_0(U_117) ),
inference(clausify,[status(thm)],[f_67_3]) ).
cnf(f_67_5,plain,
( v1_funct_1(k7_grcat_1(U_117))
| ~ sP42(U_117) ),
inference(clausify,[status(thm)],[f_67_3]) ).
cnf(f_67_6,plain,
( v1_funct_2(k7_grcat_1(U_117),u1_struct_0(U_117),u1_struct_0(U_117))
| ~ sP42(U_117) ),
inference(clausify,[status(thm)],[f_67_3]) ).
cnf(f_67_7,plain,
( m2_relset_1(k7_grcat_1(U_117),u1_struct_0(U_117),u1_struct_0(U_117))
| ~ sP42(U_117) ),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
! [A,B] :
( v1_relat_1(k8_relat_1(A,B))
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[dt_k8_relat_1]) ).
fof(f_68_2,plain,
! [U_119,U_118] :
( v1_relat_1(k8_relat_1(U_119,U_118))
| ~ v1_relat_1(U_118) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
! [U_119,U_118] :
( v1_relat_1(k8_relat_1(U_119,U_118))
| ~ v1_relat_1(U_118) ),
inference(definitional_conversion,[status(esa)],[f_68_2]) ).
cnf(f_68_4,plain,
( v1_relat_1(k8_relat_1(U_119,U_118))
| ~ v1_relat_1(U_118) ),
inference(clausify,[status(thm)],[f_68_3]) ).
fof(f_69_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_orders_2]) ).
fof(f_69_2,plain,
! [U_120] :
( l1_struct_0(U_120)
| ~ l1_orders_2(U_120) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
! [U_120] :
( l1_struct_0(U_120)
| ~ l1_orders_2(U_120) ),
inference(definitional_conversion,[status(esa)],[f_69_2]) ).
cnf(f_69_4,plain,
( l1_struct_0(U_120)
| ~ l1_orders_2(U_120) ),
inference(clausify,[status(thm)],[f_69_3]) ).
fof(f_70_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
fof(f_70_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_70_1]) ).
cnf(f_70_3,plain,
$true,
inference(clausify,[status(thm)],[f_70_2]) ).
fof(f_71_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_relset_1]) ).
fof(f_71_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_71_1]) ).
cnf(f_71_3,plain,
$true,
inference(clausify,[status(thm)],[f_71_2]) ).
fof(f_72_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
fof(f_72_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_72_1]) ).
cnf(f_72_3,plain,
$true,
inference(clausify,[status(thm)],[f_72_2]) ).
fof(f_73_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_73_2,plain,
! [U_122] :
( ! [U_121] :
( l1_orders_2(U_121)
| ~ m1_yellow_0(U_121,U_122) )
| ~ l1_orders_2(U_122) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
! [U_121,U_122] :
( l1_orders_2(U_121)
| ~ m1_yellow_0(U_121,U_122)
| ~ l1_orders_2(U_122) ),
inference(definitional_conversion,[status(esa)],[f_73_2]) ).
cnf(f_73_4,plain,
( l1_orders_2(U_121)
| ~ m1_yellow_0(U_121,U_122)
| ~ l1_orders_2(U_122) ),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_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_74_2,plain,
! [U_125,U_124,U_123] :
( m1_subset_1(U_123,k1_zfmisc_1(k2_zfmisc_1(U_125,U_124)))
| ~ m2_relset_1(U_123,U_125,U_124) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_125,U_124,U_123] :
( m1_subset_1(U_123,k1_zfmisc_1(k2_zfmisc_1(U_125,U_124)))
| ~ m2_relset_1(U_123,U_125,U_124) ),
inference(definitional_conversion,[status(esa)],[f_74_2]) ).
cnf(f_74_4,plain,
( m1_subset_1(U_123,k1_zfmisc_1(k2_zfmisc_1(U_125,U_124)))
| ~ m2_relset_1(U_123,U_125,U_124) ),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_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_75_2,plain,
! [U_126] :
( m2_relset_1(u1_orders_2(U_126),u1_struct_0(U_126),u1_struct_0(U_126))
| ~ l1_orders_2(U_126) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_126] :
( m2_relset_1(u1_orders_2(U_126),u1_struct_0(U_126),u1_struct_0(U_126))
| ~ l1_orders_2(U_126) ),
inference(definitional_conversion,[status(esa)],[f_75_2]) ).
cnf(f_75_4,plain,
( m2_relset_1(u1_orders_2(U_126),u1_struct_0(U_126),u1_struct_0(U_126))
| ~ l1_orders_2(U_126) ),
inference(clausify,[status(thm)],[f_75_3]) ).
fof(f_76_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
fof(f_76_2,plain,
$true,
inference(definitional_conversion,[status(esa)],[f_76_1]) ).
cnf(f_76_3,plain,
$true,
inference(clausify,[status(thm)],[f_76_2]) ).
fof(f_77_1,plain,
? [A] : l1_orders_2(A),
inference(fof_nnf,[status(thm)],[existence_l1_orders_2]) ).
fof(f_77_2,plain,
? [U_127] : l1_orders_2(U_127),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
l1_orders_2(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_127,sK3)],[f_77_2]) ).
fof(f_77_4,plain,
l1_orders_2(sK3),
inference(definitional_conversion,[status(esa)],[f_77_3]) ).
cnf(f_77_5,plain,
l1_orders_2(sK3),
inference(clausify,[status(thm)],[f_77_4]) ).
fof(f_78_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_78_2,plain,
? [U_128] : l1_struct_0(U_128),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
l1_struct_0(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_128,sK4)],[f_78_2]) ).
fof(f_78_4,plain,
l1_struct_0(sK4),
inference(definitional_conversion,[status(esa)],[f_78_3]) ).
cnf(f_78_5,plain,
l1_struct_0(sK4),
inference(clausify,[status(thm)],[f_78_4]) ).
fof(f_79_1,plain,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_relset_1]) ).
fof(f_79_2,plain,
! [U_131,U_130] :
? [U_129] : m1_relset_1(U_129,U_131,U_130),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
! [U_131,U_130] : m1_relset_1(sK5(U_131,U_130),U_131,U_130),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_129,sK5(U_131,U_130))],[f_79_2]) ).
fof(f_79_4,plain,
! [U_130,U_131] : m1_relset_1(sK5(U_131,U_130),U_131,U_130),
inference(definitional_conversion,[status(esa)],[f_79_3]) ).
cnf(f_79_5,plain,
m1_relset_1(sK5(U_131,U_130),U_131,U_130),
inference(clausify,[status(thm)],[f_79_4]) ).
fof(f_80_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_80_2,plain,
! [U_133] :
? [U_132] : m1_subset_1(U_132,U_133),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
! [U_133] : m1_subset_1(sK6(U_133),U_133),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_132,sK6(U_133))],[f_80_2]) ).
fof(f_80_4,plain,
! [U_133] : m1_subset_1(sK6(U_133),U_133),
inference(definitional_conversion,[status(esa)],[f_80_3]) ).
cnf(f_80_5,plain,
m1_subset_1(sK6(U_133),U_133),
inference(clausify,[status(thm)],[f_80_4]) ).
fof(f_81_1,plain,
! [A] :
( ? [B] : m1_yellow_0(B,A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_yellow_0]) ).
fof(f_81_2,plain,
! [U_135] :
( ? [U_134] : m1_yellow_0(U_134,U_135)
| ~ l1_orders_2(U_135) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
! [U_135] :
( m1_yellow_0(sK7(U_135),U_135)
| ~ l1_orders_2(U_135) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_134,sK7(U_135))],[f_81_2]) ).
fof(f_81_4,plain,
! [U_135] :
( m1_yellow_0(sK7(U_135),U_135)
| ~ l1_orders_2(U_135) ),
inference(definitional_conversion,[status(esa)],[f_81_3]) ).
cnf(f_81_5,plain,
( m1_yellow_0(sK7(U_135),U_135)
| ~ l1_orders_2(U_135) ),
inference(clausify,[status(thm)],[f_81_4]) ).
fof(f_82_1,plain,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m2_relset_1]) ).
fof(f_82_2,plain,
! [U_138,U_137] :
? [U_136] : m2_relset_1(U_136,U_138,U_137),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
! [U_138,U_137] : m2_relset_1(sK8(U_138,U_137),U_138,U_137),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_136,sK8(U_138,U_137))],[f_82_2]) ).
fof(f_82_4,plain,
! [U_137,U_138] : m2_relset_1(sK8(U_138,U_137),U_138,U_137),
inference(definitional_conversion,[status(esa)],[f_82_3]) ).
cnf(f_82_5,plain,
m2_relset_1(sK8(U_138,U_137),U_138,U_137),
inference(clausify,[status(thm)],[f_82_4]) ).
fof(f_83_1,plain,
! [A,B] :
( ( v3_waybel_0(k2_yellow_2(A,A,B),A)
& v7_yellow_0(k2_yellow_2(A,A,B),A)
& v5_yellow_0(k2_yellow_2(A,A,B),A)
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) )
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(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)],[fc10_waybel10]) ).
fof(f_83_2,plain,
! [U_140,U_139] :
( ( v3_waybel_0(k2_yellow_2(U_140,U_140,U_139),U_140)
& v7_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
& v5_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
& v4_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
& v4_orders_2(k2_yellow_2(U_140,U_140,U_139))
& v3_orders_2(k2_yellow_2(U_140,U_140,U_139))
& v2_orders_2(k2_yellow_2(U_140,U_140,U_139))
& v1_orders_2(k2_yellow_2(U_140,U_140,U_139))
& ~ v3_struct_0(k2_yellow_2(U_140,U_140,U_139)) )
| ~ m1_relset_1(U_139,u1_struct_0(U_140),u1_struct_0(U_140))
| ~ v7_waybel_1(U_139,U_140)
| ~ v1_funct_2(U_139,u1_struct_0(U_140),u1_struct_0(U_140))
| ~ v1_funct_1(U_139)
| ~ l1_orders_2(U_140)
| ~ v4_orders_2(U_140)
| ~ v3_orders_2(U_140)
| ~ v2_orders_2(U_140)
| v3_struct_0(U_140) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
( ! [U_140,U_139] :
( v3_waybel_0(k2_yellow_2(U_140,U_140,U_139),U_140)
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( v7_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( v5_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( v4_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( v4_orders_2(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( v3_orders_2(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( v2_orders_2(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( v1_orders_2(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( ~ v3_struct_0(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) )
& ! [U_140,U_139] :
( sP43(U_140,U_139)
| ~ m1_relset_1(U_139,u1_struct_0(U_140),u1_struct_0(U_140))
| ~ v7_waybel_1(U_139,U_140)
| ~ v1_funct_2(U_139,u1_struct_0(U_140),u1_struct_0(U_140))
| ~ v1_funct_1(U_139)
| ~ l1_orders_2(U_140)
| ~ v4_orders_2(U_140)
| ~ v3_orders_2(U_140)
| ~ v2_orders_2(U_140)
| v3_struct_0(U_140) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP43])],[f_83_2]) ).
cnf(f_83_4,plain,
( sP43(U_140,U_139)
| ~ m1_relset_1(U_139,u1_struct_0(U_140),u1_struct_0(U_140))
| ~ v7_waybel_1(U_139,U_140)
| ~ v1_funct_2(U_139,u1_struct_0(U_140),u1_struct_0(U_140))
| ~ v1_funct_1(U_139)
| ~ l1_orders_2(U_140)
| ~ v4_orders_2(U_140)
| ~ v3_orders_2(U_140)
| ~ v2_orders_2(U_140)
| v3_struct_0(U_140) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_5,plain,
( ~ v3_struct_0(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_6,plain,
( v1_orders_2(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_7,plain,
( v2_orders_2(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_8,plain,
( v3_orders_2(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_9,plain,
( v4_orders_2(k2_yellow_2(U_140,U_140,U_139))
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_10,plain,
( v4_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_11,plain,
( v5_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_12,plain,
( v7_yellow_0(k2_yellow_2(U_140,U_140,U_139),U_140)
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_13,plain,
( v3_waybel_0(k2_yellow_2(U_140,U_140,U_139),U_140)
| ~ sP43(U_140,U_139) ),
inference(clausify,[status(thm)],[f_83_3]) ).
fof(f_84_1,plain,
! [A,B] :
( ( v3_lattice3(k2_yellow_2(A,A,B))
& v2_lattice3(k2_yellow_2(A,A,B))
& v1_lattice3(k2_yellow_2(A,A,B))
& v25_waybel_0(k2_yellow_2(A,A,B))
& v24_waybel_0(k2_yellow_2(A,A,B))
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v3_yellow_0(k2_yellow_2(A,A,B))
& v2_yellow_0(k2_yellow_2(A,A,B))
& v1_yellow_0(k2_yellow_2(A,A,B))
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) )
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v6_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(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)],[fc10_waybel34]) ).
fof(f_84_2,plain,
! [U_142,U_141] :
( ( v3_lattice3(k2_yellow_2(U_142,U_142,U_141))
& v2_lattice3(k2_yellow_2(U_142,U_142,U_141))
& v1_lattice3(k2_yellow_2(U_142,U_142,U_141))
& v25_waybel_0(k2_yellow_2(U_142,U_142,U_141))
& v24_waybel_0(k2_yellow_2(U_142,U_142,U_141))
& v4_yellow_0(k2_yellow_2(U_142,U_142,U_141),U_142)
& v3_yellow_0(k2_yellow_2(U_142,U_142,U_141))
& v2_yellow_0(k2_yellow_2(U_142,U_142,U_141))
& v1_yellow_0(k2_yellow_2(U_142,U_142,U_141))
& v4_orders_2(k2_yellow_2(U_142,U_142,U_141))
& v3_orders_2(k2_yellow_2(U_142,U_142,U_141))
& v2_orders_2(k2_yellow_2(U_142,U_142,U_141))
& v1_orders_2(k2_yellow_2(U_142,U_142,U_141))
& ~ v3_struct_0(k2_yellow_2(U_142,U_142,U_141)) )
| ~ m1_relset_1(U_141,u1_struct_0(U_142),u1_struct_0(U_142))
| ~ v6_waybel_1(U_141,U_142)
| ~ v1_funct_2(U_141,u1_struct_0(U_142),u1_struct_0(U_142))
| ~ v1_funct_1(U_141)
| ~ l1_orders_2(U_142)
| ~ v3_lattice3(U_142)
| ~ v2_lattice3(U_142)
| ~ v1_lattice3(U_142)
| ~ v4_orders_2(U_142)
| ~ v3_orders_2(U_142)
| ~ v2_orders_2(U_142) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
( ! [U_142,U_141] :
( v3_lattice3(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v2_lattice3(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v1_lattice3(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v25_waybel_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v24_waybel_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v4_yellow_0(k2_yellow_2(U_142,U_142,U_141),U_142)
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v3_yellow_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v2_yellow_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v1_yellow_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v4_orders_2(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v3_orders_2(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v2_orders_2(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( v1_orders_2(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( ~ v3_struct_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) )
& ! [U_142,U_141] :
( sP44(U_142,U_141)
| ~ m1_relset_1(U_141,u1_struct_0(U_142),u1_struct_0(U_142))
| ~ v6_waybel_1(U_141,U_142)
| ~ v1_funct_2(U_141,u1_struct_0(U_142),u1_struct_0(U_142))
| ~ v1_funct_1(U_141)
| ~ l1_orders_2(U_142)
| ~ v3_lattice3(U_142)
| ~ v2_lattice3(U_142)
| ~ v1_lattice3(U_142)
| ~ v4_orders_2(U_142)
| ~ v3_orders_2(U_142)
| ~ v2_orders_2(U_142) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP44])],[f_84_2]) ).
cnf(f_84_4,plain,
( sP44(U_142,U_141)
| ~ m1_relset_1(U_141,u1_struct_0(U_142),u1_struct_0(U_142))
| ~ v6_waybel_1(U_141,U_142)
| ~ v1_funct_2(U_141,u1_struct_0(U_142),u1_struct_0(U_142))
| ~ v1_funct_1(U_141)
| ~ l1_orders_2(U_142)
| ~ v3_lattice3(U_142)
| ~ v2_lattice3(U_142)
| ~ v1_lattice3(U_142)
| ~ v4_orders_2(U_142)
| ~ v3_orders_2(U_142)
| ~ v2_orders_2(U_142) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_5,plain,
( ~ v3_struct_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_6,plain,
( v1_orders_2(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_7,plain,
( v2_orders_2(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_8,plain,
( v3_orders_2(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_9,plain,
( v4_orders_2(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_10,plain,
( v1_yellow_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_11,plain,
( v2_yellow_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_12,plain,
( v3_yellow_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_13,plain,
( v4_yellow_0(k2_yellow_2(U_142,U_142,U_141),U_142)
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_14,plain,
( v24_waybel_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_15,plain,
( v25_waybel_0(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_16,plain,
( v1_lattice3(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_17,plain,
( v2_lattice3(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_18,plain,
( v3_lattice3(k2_yellow_2(U_142,U_142,U_141))
| ~ sP44(U_142,U_141) ),
inference(clausify,[status(thm)],[f_84_3]) ).
fof(f_85_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_85_2,plain,
! [U_143] :
( ( v24_waybel_0(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
& v2_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)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143))) )
| ~ l1_orders_2(U_143)
| ~ v24_waybel_0(U_143)
| ~ v2_orders_2(U_143)
| v3_struct_0(U_143) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
( ! [U_143] :
( v24_waybel_0(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ sP45(U_143) )
& ! [U_143] :
( v2_orders_2(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ sP45(U_143) )
& ! [U_143] :
( v1_orders_2(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ sP45(U_143) )
& ! [U_143] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ sP45(U_143) )
& ! [U_143] :
( sP45(U_143)
| ~ l1_orders_2(U_143)
| ~ v24_waybel_0(U_143)
| ~ v2_orders_2(U_143)
| v3_struct_0(U_143) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP45])],[f_85_2]) ).
cnf(f_85_4,plain,
( sP45(U_143)
| ~ l1_orders_2(U_143)
| ~ v24_waybel_0(U_143)
| ~ v2_orders_2(U_143)
| v3_struct_0(U_143) ),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_5,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ sP45(U_143) ),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_6,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ sP45(U_143) ),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_7,plain,
( v2_orders_2(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ sP45(U_143) ),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_8,plain,
( v24_waybel_0(g1_orders_2(u1_struct_0(U_143),u1_orders_2(U_143)))
| ~ sP45(U_143) ),
inference(clausify,[status(thm)],[f_85_3]) ).
fof(f_86_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_86_2,plain,
! [U_145,U_144] :
( v1_finset_1(k2_zfmisc_1(U_145,U_144))
| ~ v1_finset_1(U_144)
| ~ v1_finset_1(U_145) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
! [U_144,U_145] :
( v1_finset_1(k2_zfmisc_1(U_145,U_144))
| ~ v1_finset_1(U_144)
| ~ v1_finset_1(U_145) ),
inference(definitional_conversion,[status(esa)],[f_86_2]) ).
cnf(f_86_4,plain,
( v1_finset_1(k2_zfmisc_1(U_145,U_144))
| ~ v1_finset_1(U_144)
| ~ v1_finset_1(U_145) ),
inference(clausify,[status(thm)],[f_86_3]) ).
fof(f_87_1,plain,
! [A,B] :
( ( v4_waybel_0(k2_yellow_2(A,A,B),A)
& v3_waybel_0(k2_yellow_2(A,A,B),A)
& v7_yellow_0(k2_yellow_2(A,A,B),A)
& v5_yellow_0(k2_yellow_2(A,A,B),A)
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v2_lattice3(k2_yellow_2(A,A,B))
& v4_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& ~ v3_struct_0(k2_yellow_2(A,A,B)) )
| ~ m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v7_waybel_1(B,A)
| ~ v22_waybel_0(B,A,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(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)],[fc15_waybel10]) ).
fof(f_87_2,plain,
! [U_147,U_146] :
( ( v4_waybel_0(k2_yellow_2(U_147,U_147,U_146),U_147)
& v3_waybel_0(k2_yellow_2(U_147,U_147,U_146),U_147)
& v7_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
& v5_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
& v4_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
& v2_lattice3(k2_yellow_2(U_147,U_147,U_146))
& v4_orders_2(k2_yellow_2(U_147,U_147,U_146))
& v3_orders_2(k2_yellow_2(U_147,U_147,U_146))
& v2_orders_2(k2_yellow_2(U_147,U_147,U_146))
& v1_orders_2(k2_yellow_2(U_147,U_147,U_146))
& ~ v3_struct_0(k2_yellow_2(U_147,U_147,U_146)) )
| ~ m1_relset_1(U_146,u1_struct_0(U_147),u1_struct_0(U_147))
| ~ v7_waybel_1(U_146,U_147)
| ~ v22_waybel_0(U_146,U_147,U_147)
| ~ v1_funct_2(U_146,u1_struct_0(U_147),u1_struct_0(U_147))
| ~ v1_funct_1(U_146)
| ~ l1_orders_2(U_147)
| ~ v3_lattice3(U_147)
| ~ v2_lattice3(U_147)
| ~ v1_lattice3(U_147)
| ~ v4_orders_2(U_147)
| ~ v3_orders_2(U_147)
| ~ v2_orders_2(U_147) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
( ! [U_146,U_147] :
( v4_waybel_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v3_waybel_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v7_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v5_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v4_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v2_lattice3(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v4_orders_2(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v3_orders_2(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v2_orders_2(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( v1_orders_2(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( ~ v3_struct_0(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) )
& ! [U_146,U_147] :
( sP46(U_146,U_147)
| ~ m1_relset_1(U_146,u1_struct_0(U_147),u1_struct_0(U_147))
| ~ v7_waybel_1(U_146,U_147)
| ~ v22_waybel_0(U_146,U_147,U_147)
| ~ v1_funct_2(U_146,u1_struct_0(U_147),u1_struct_0(U_147))
| ~ v1_funct_1(U_146)
| ~ l1_orders_2(U_147)
| ~ v3_lattice3(U_147)
| ~ v2_lattice3(U_147)
| ~ v1_lattice3(U_147)
| ~ v4_orders_2(U_147)
| ~ v3_orders_2(U_147)
| ~ v2_orders_2(U_147) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP46])],[f_87_2]) ).
cnf(f_87_4,plain,
( sP46(U_146,U_147)
| ~ m1_relset_1(U_146,u1_struct_0(U_147),u1_struct_0(U_147))
| ~ v7_waybel_1(U_146,U_147)
| ~ v22_waybel_0(U_146,U_147,U_147)
| ~ v1_funct_2(U_146,u1_struct_0(U_147),u1_struct_0(U_147))
| ~ v1_funct_1(U_146)
| ~ l1_orders_2(U_147)
| ~ v3_lattice3(U_147)
| ~ v2_lattice3(U_147)
| ~ v1_lattice3(U_147)
| ~ v4_orders_2(U_147)
| ~ v3_orders_2(U_147)
| ~ v2_orders_2(U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_5,plain,
( ~ v3_struct_0(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_6,plain,
( v1_orders_2(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_7,plain,
( v2_orders_2(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_8,plain,
( v3_orders_2(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_9,plain,
( v4_orders_2(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_10,plain,
( v2_lattice3(k2_yellow_2(U_147,U_147,U_146))
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_11,plain,
( v4_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_12,plain,
( v5_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_13,plain,
( v7_yellow_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_14,plain,
( v3_waybel_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_15,plain,
( v4_waybel_0(k2_yellow_2(U_147,U_147,U_146),U_147)
| ~ sP46(U_146,U_147) ),
inference(clausify,[status(thm)],[f_87_3]) ).
fof(f_88_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_88_2,plain,
! [U_148] :
( ~ v1_xboole_0(u1_struct_0(U_148))
| ~ l1_struct_0(U_148)
| v3_struct_0(U_148) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
! [U_148] :
( ~ v1_xboole_0(u1_struct_0(U_148))
| ~ l1_struct_0(U_148)
| v3_struct_0(U_148) ),
inference(definitional_conversion,[status(esa)],[f_88_2]) ).
cnf(f_88_4,plain,
( ~ v1_xboole_0(u1_struct_0(U_148))
| ~ l1_struct_0(U_148)
| v3_struct_0(U_148) ),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_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_89_2,plain,
! [U_151,U_150,U_149] :
( ( v5_orders_3(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
& v5_waybel_1(k1_waybel34(U_151,U_150,U_149),U_151,U_150)
& v22_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
& v20_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
& v18_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
& v1_partfun1(k1_waybel34(U_151,U_150,U_149),u1_struct_0(U_150),u1_struct_0(U_151))
& v1_funct_2(k1_waybel34(U_151,U_150,U_149),u1_struct_0(U_150),u1_struct_0(U_151))
& ~ v1_xboole_0(k1_waybel34(U_151,U_150,U_149))
& v1_funct_1(k1_waybel34(U_151,U_150,U_149))
& v1_relat_1(k1_waybel34(U_151,U_150,U_149)) )
| ~ m1_relset_1(U_149,u1_struct_0(U_151),u1_struct_0(U_150))
| ~ v17_waybel_0(U_149,U_151,U_150)
| ~ v1_funct_2(U_149,u1_struct_0(U_151),u1_struct_0(U_150))
| ~ v1_funct_1(U_149)
| ~ l1_orders_2(U_150)
| ~ v3_lattice3(U_150)
| ~ v2_lattice3(U_150)
| ~ v1_lattice3(U_150)
| ~ v4_orders_2(U_150)
| ~ v3_orders_2(U_150)
| ~ v2_orders_2(U_150)
| ~ l1_orders_2(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) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
( ! [U_151,U_150,U_149] :
( v5_orders_3(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( v5_waybel_1(k1_waybel34(U_151,U_150,U_149),U_151,U_150)
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( v22_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( v20_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( v18_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( v1_partfun1(k1_waybel34(U_151,U_150,U_149),u1_struct_0(U_150),u1_struct_0(U_151))
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( v1_funct_2(k1_waybel34(U_151,U_150,U_149),u1_struct_0(U_150),u1_struct_0(U_151))
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( ~ v1_xboole_0(k1_waybel34(U_151,U_150,U_149))
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( v1_funct_1(k1_waybel34(U_151,U_150,U_149))
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( v1_relat_1(k1_waybel34(U_151,U_150,U_149))
| ~ sP47(U_151,U_150,U_149) )
& ! [U_151,U_150,U_149] :
( sP47(U_151,U_150,U_149)
| ~ m1_relset_1(U_149,u1_struct_0(U_151),u1_struct_0(U_150))
| ~ v17_waybel_0(U_149,U_151,U_150)
| ~ v1_funct_2(U_149,u1_struct_0(U_151),u1_struct_0(U_150))
| ~ v1_funct_1(U_149)
| ~ l1_orders_2(U_150)
| ~ v3_lattice3(U_150)
| ~ v2_lattice3(U_150)
| ~ v1_lattice3(U_150)
| ~ v4_orders_2(U_150)
| ~ v3_orders_2(U_150)
| ~ v2_orders_2(U_150)
| ~ l1_orders_2(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) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP47])],[f_89_2]) ).
cnf(f_89_4,plain,
( sP47(U_151,U_150,U_149)
| ~ m1_relset_1(U_149,u1_struct_0(U_151),u1_struct_0(U_150))
| ~ v17_waybel_0(U_149,U_151,U_150)
| ~ v1_funct_2(U_149,u1_struct_0(U_151),u1_struct_0(U_150))
| ~ v1_funct_1(U_149)
| ~ l1_orders_2(U_150)
| ~ v3_lattice3(U_150)
| ~ v2_lattice3(U_150)
| ~ v1_lattice3(U_150)
| ~ v4_orders_2(U_150)
| ~ v3_orders_2(U_150)
| ~ v2_orders_2(U_150)
| ~ l1_orders_2(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) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_5,plain,
( v1_relat_1(k1_waybel34(U_151,U_150,U_149))
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_6,plain,
( v1_funct_1(k1_waybel34(U_151,U_150,U_149))
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_7,plain,
( ~ v1_xboole_0(k1_waybel34(U_151,U_150,U_149))
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_8,plain,
( v1_funct_2(k1_waybel34(U_151,U_150,U_149),u1_struct_0(U_150),u1_struct_0(U_151))
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_9,plain,
( v1_partfun1(k1_waybel34(U_151,U_150,U_149),u1_struct_0(U_150),u1_struct_0(U_151))
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_10,plain,
( v18_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_11,plain,
( v20_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_12,plain,
( v22_waybel_0(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_13,plain,
( v5_waybel_1(k1_waybel34(U_151,U_150,U_149),U_151,U_150)
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_14,plain,
( v5_orders_3(k1_waybel34(U_151,U_150,U_149),U_150,U_151)
| ~ sP47(U_151,U_150,U_149) ),
inference(clausify,[status(thm)],[f_89_3]) ).
fof(f_90_1,plain,
! [A,B,C] :
( ( v5_orders_3(k2_waybel_1(A,B,C),A,k2_yellow_2(A,B,C))
& v1_partfun1(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v2_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& ~ v1_xboole_0(k2_waybel_1(A,B,C))
& v1_funct_1(k2_waybel_1(A,B,C))
& v1_relat_1(k2_waybel_1(A,B,C)) )
| ~ m1_relset_1(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)
| ~ l1_orders_2(B)
| ~ v2_orders_2(B)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_waybel10]) ).
fof(f_90_2,plain,
! [U_154,U_153,U_152] :
( ( v5_orders_3(k2_waybel_1(U_154,U_153,U_152),U_154,k2_yellow_2(U_154,U_153,U_152))
& v1_partfun1(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
& v2_funct_2(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
& v1_funct_2(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
& ~ v1_xboole_0(k2_waybel_1(U_154,U_153,U_152))
& v1_funct_1(k2_waybel_1(U_154,U_153,U_152))
& v1_relat_1(k2_waybel_1(U_154,U_153,U_152)) )
| ~ m1_relset_1(U_152,u1_struct_0(U_154),u1_struct_0(U_153))
| ~ v5_orders_3(U_152,U_154,U_153)
| ~ v1_funct_2(U_152,u1_struct_0(U_154),u1_struct_0(U_153))
| ~ v1_funct_1(U_152)
| ~ l1_orders_2(U_153)
| ~ v2_orders_2(U_153)
| v3_struct_0(U_153)
| ~ l1_orders_2(U_154)
| ~ v2_orders_2(U_154)
| v3_struct_0(U_154) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
( ! [U_154,U_153,U_152] :
( v5_orders_3(k2_waybel_1(U_154,U_153,U_152),U_154,k2_yellow_2(U_154,U_153,U_152))
| ~ sP48(U_154,U_153,U_152) )
& ! [U_154,U_153,U_152] :
( v1_partfun1(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
| ~ sP48(U_154,U_153,U_152) )
& ! [U_154,U_153,U_152] :
( v2_funct_2(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
| ~ sP48(U_154,U_153,U_152) )
& ! [U_154,U_153,U_152] :
( v1_funct_2(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
| ~ sP48(U_154,U_153,U_152) )
& ! [U_154,U_153,U_152] :
( ~ v1_xboole_0(k2_waybel_1(U_154,U_153,U_152))
| ~ sP48(U_154,U_153,U_152) )
& ! [U_154,U_153,U_152] :
( v1_funct_1(k2_waybel_1(U_154,U_153,U_152))
| ~ sP48(U_154,U_153,U_152) )
& ! [U_154,U_153,U_152] :
( v1_relat_1(k2_waybel_1(U_154,U_153,U_152))
| ~ sP48(U_154,U_153,U_152) )
& ! [U_154,U_153,U_152] :
( sP48(U_154,U_153,U_152)
| ~ m1_relset_1(U_152,u1_struct_0(U_154),u1_struct_0(U_153))
| ~ v5_orders_3(U_152,U_154,U_153)
| ~ v1_funct_2(U_152,u1_struct_0(U_154),u1_struct_0(U_153))
| ~ v1_funct_1(U_152)
| ~ l1_orders_2(U_153)
| ~ v2_orders_2(U_153)
| v3_struct_0(U_153)
| ~ l1_orders_2(U_154)
| ~ v2_orders_2(U_154)
| v3_struct_0(U_154) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP48])],[f_90_2]) ).
cnf(f_90_4,plain,
( sP48(U_154,U_153,U_152)
| ~ m1_relset_1(U_152,u1_struct_0(U_154),u1_struct_0(U_153))
| ~ v5_orders_3(U_152,U_154,U_153)
| ~ v1_funct_2(U_152,u1_struct_0(U_154),u1_struct_0(U_153))
| ~ v1_funct_1(U_152)
| ~ l1_orders_2(U_153)
| ~ v2_orders_2(U_153)
| v3_struct_0(U_153)
| ~ l1_orders_2(U_154)
| ~ v2_orders_2(U_154)
| v3_struct_0(U_154) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_5,plain,
( v1_relat_1(k2_waybel_1(U_154,U_153,U_152))
| ~ sP48(U_154,U_153,U_152) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_6,plain,
( v1_funct_1(k2_waybel_1(U_154,U_153,U_152))
| ~ sP48(U_154,U_153,U_152) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_7,plain,
( ~ v1_xboole_0(k2_waybel_1(U_154,U_153,U_152))
| ~ sP48(U_154,U_153,U_152) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_8,plain,
( v1_funct_2(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
| ~ sP48(U_154,U_153,U_152) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_9,plain,
( v2_funct_2(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
| ~ sP48(U_154,U_153,U_152) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_10,plain,
( v1_partfun1(k2_waybel_1(U_154,U_153,U_152),u1_struct_0(U_154),u1_struct_0(k2_yellow_2(U_154,U_153,U_152)))
| ~ sP48(U_154,U_153,U_152) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_11,plain,
( v5_orders_3(k2_waybel_1(U_154,U_153,U_152),U_154,k2_yellow_2(U_154,U_153,U_152))
| ~ sP48(U_154,U_153,U_152) ),
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
! [A,B,C] :
( ( v5_orders_3(k2_waybel34(A,B,C),A,B)
& v4_waybel_1(k2_waybel34(A,B,C),A,B)
& v21_waybel_0(k2_waybel34(A,B,C),A,B)
& v19_waybel_0(k2_waybel34(A,B,C),A,B)
& v17_waybel_0(k2_waybel34(A,B,C),A,B)
& v1_partfun1(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& ~ v1_xboole_0(k2_waybel34(A,B,C))
& v1_funct_1(k2_waybel34(A,B,C))
& v1_relat_1(k2_waybel34(A,B,C)) )
| ~ m1_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)],[fc2_waybel34]) ).
fof(f_91_2,plain,
! [U_157,U_156,U_155] :
( ( v5_orders_3(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
& v4_waybel_1(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
& v21_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
& v19_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
& v17_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
& v1_partfun1(k2_waybel34(U_157,U_156,U_155),u1_struct_0(U_157),u1_struct_0(U_156))
& v1_funct_2(k2_waybel34(U_157,U_156,U_155),u1_struct_0(U_157),u1_struct_0(U_156))
& ~ v1_xboole_0(k2_waybel34(U_157,U_156,U_155))
& v1_funct_1(k2_waybel34(U_157,U_156,U_155))
& v1_relat_1(k2_waybel34(U_157,U_156,U_155)) )
| ~ m1_relset_1(U_155,u1_struct_0(U_156),u1_struct_0(U_157))
| ~ v18_waybel_0(U_155,U_156,U_157)
| ~ v1_funct_2(U_155,u1_struct_0(U_156),u1_struct_0(U_157))
| ~ v1_funct_1(U_155)
| ~ l1_orders_2(U_156)
| ~ v3_lattice3(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)
| ~ v3_lattice3(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_91_1]) ).
fof(f_91_3,plain,
( ! [U_155,U_157,U_156] :
( v5_orders_3(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( v4_waybel_1(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( v21_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( v19_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( v17_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( v1_partfun1(k2_waybel34(U_157,U_156,U_155),u1_struct_0(U_157),u1_struct_0(U_156))
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( v1_funct_2(k2_waybel34(U_157,U_156,U_155),u1_struct_0(U_157),u1_struct_0(U_156))
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( ~ v1_xboole_0(k2_waybel34(U_157,U_156,U_155))
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( v1_funct_1(k2_waybel34(U_157,U_156,U_155))
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( v1_relat_1(k2_waybel34(U_157,U_156,U_155))
| ~ sP49(U_155,U_157,U_156) )
& ! [U_155,U_157,U_156] :
( sP49(U_155,U_157,U_156)
| ~ m1_relset_1(U_155,u1_struct_0(U_156),u1_struct_0(U_157))
| ~ v18_waybel_0(U_155,U_156,U_157)
| ~ v1_funct_2(U_155,u1_struct_0(U_156),u1_struct_0(U_157))
| ~ v1_funct_1(U_155)
| ~ l1_orders_2(U_156)
| ~ v3_lattice3(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)
| ~ v3_lattice3(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(definitional_conversion,[status(esa),new_symbols(definitional,[sP49])],[f_91_2]) ).
cnf(f_91_4,plain,
( sP49(U_155,U_157,U_156)
| ~ m1_relset_1(U_155,u1_struct_0(U_156),u1_struct_0(U_157))
| ~ v18_waybel_0(U_155,U_156,U_157)
| ~ v1_funct_2(U_155,u1_struct_0(U_156),u1_struct_0(U_157))
| ~ v1_funct_1(U_155)
| ~ l1_orders_2(U_156)
| ~ v3_lattice3(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)
| ~ v3_lattice3(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_91_3]) ).
cnf(f_91_5,plain,
( v1_relat_1(k2_waybel34(U_157,U_156,U_155))
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_6,plain,
( v1_funct_1(k2_waybel34(U_157,U_156,U_155))
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_7,plain,
( ~ v1_xboole_0(k2_waybel34(U_157,U_156,U_155))
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_8,plain,
( v1_funct_2(k2_waybel34(U_157,U_156,U_155),u1_struct_0(U_157),u1_struct_0(U_156))
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_9,plain,
( v1_partfun1(k2_waybel34(U_157,U_156,U_155),u1_struct_0(U_157),u1_struct_0(U_156))
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_10,plain,
( v17_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_11,plain,
( v19_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_12,plain,
( v21_waybel_0(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_13,plain,
( v4_waybel_1(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_14,plain,
( v5_orders_3(k2_waybel34(U_157,U_156,U_155),U_157,U_156)
| ~ sP49(U_155,U_157,U_156) ),
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
! [A] :
( ( v23_waybel_0(k7_grcat_1(A),A,A)
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[fc2_waybel_1]) ).
fof(f_92_2,plain,
! [U_158] :
( ( v23_waybel_0(k7_grcat_1(U_158),U_158,U_158)
& v1_funct_2(k7_grcat_1(U_158),u1_struct_0(U_158),u1_struct_0(U_158))
& v1_funct_1(k7_grcat_1(U_158))
& v1_relat_1(k7_grcat_1(U_158)) )
| ~ l1_orders_2(U_158) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
( ! [U_158] :
( v23_waybel_0(k7_grcat_1(U_158),U_158,U_158)
| ~ sP50(U_158) )
& ! [U_158] :
( v1_funct_2(k7_grcat_1(U_158),u1_struct_0(U_158),u1_struct_0(U_158))
| ~ sP50(U_158) )
& ! [U_158] :
( v1_funct_1(k7_grcat_1(U_158))
| ~ sP50(U_158) )
& ! [U_158] :
( v1_relat_1(k7_grcat_1(U_158))
| ~ sP50(U_158) )
& ! [U_158] :
( sP50(U_158)
| ~ l1_orders_2(U_158) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP50])],[f_92_2]) ).
cnf(f_92_4,plain,
( sP50(U_158)
| ~ l1_orders_2(U_158) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_5,plain,
( v1_relat_1(k7_grcat_1(U_158))
| ~ sP50(U_158) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_6,plain,
( v1_funct_1(k7_grcat_1(U_158))
| ~ sP50(U_158) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_7,plain,
( v1_funct_2(k7_grcat_1(U_158),u1_struct_0(U_158),u1_struct_0(U_158))
| ~ sP50(U_158) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_8,plain,
( v23_waybel_0(k7_grcat_1(U_158),U_158,U_158)
| ~ sP50(U_158) ),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [A,B,C] :
( ( v4_yellow_0(k2_yellow_2(A,B,C),B)
& v1_orders_2(k2_yellow_2(A,B,C))
& ~ v3_struct_0(k2_yellow_2(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)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_yellow_2]) ).
fof(f_93_2,plain,
! [U_161,U_160,U_159] :
( ( v4_yellow_0(k2_yellow_2(U_161,U_160,U_159),U_160)
& v1_orders_2(k2_yellow_2(U_161,U_160,U_159))
& ~ v3_struct_0(k2_yellow_2(U_161,U_160,U_159)) )
| ~ m1_relset_1(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)
| ~ l1_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161)
| v3_struct_0(U_161) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
( ! [U_161,U_160,U_159] :
( v4_yellow_0(k2_yellow_2(U_161,U_160,U_159),U_160)
| ~ sP51(U_161,U_160,U_159) )
& ! [U_161,U_160,U_159] :
( v1_orders_2(k2_yellow_2(U_161,U_160,U_159))
| ~ sP51(U_161,U_160,U_159) )
& ! [U_161,U_160,U_159] :
( ~ v3_struct_0(k2_yellow_2(U_161,U_160,U_159))
| ~ sP51(U_161,U_160,U_159) )
& ! [U_161,U_160,U_159] :
( sP51(U_161,U_160,U_159)
| ~ m1_relset_1(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)
| ~ l1_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161)
| v3_struct_0(U_161) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP51])],[f_93_2]) ).
cnf(f_93_4,plain,
( sP51(U_161,U_160,U_159)
| ~ m1_relset_1(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)
| ~ l1_orders_2(U_160)
| v3_struct_0(U_160)
| ~ l1_orders_2(U_161)
| v3_struct_0(U_161) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_5,plain,
( ~ v3_struct_0(k2_yellow_2(U_161,U_160,U_159))
| ~ sP51(U_161,U_160,U_159) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_6,plain,
( v1_orders_2(k2_yellow_2(U_161,U_160,U_159))
| ~ sP51(U_161,U_160,U_159) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_7,plain,
( v4_yellow_0(k2_yellow_2(U_161,U_160,U_159),U_160)
| ~ sP51(U_161,U_160,U_159) ),
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_1,plain,
! [A] :
( ( v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_waybel10]) ).
fof(f_94_2,plain,
! [U_162] :
( ( v1_funct_2(k7_grcat_1(U_162),u1_struct_0(U_162),u1_struct_0(U_162))
& v2_funct_1(k7_grcat_1(U_162))
& v1_funct_1(k7_grcat_1(U_162))
& v1_relat_1(k7_grcat_1(U_162)) )
| ~ l1_struct_0(U_162) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
( ! [U_162] :
( v1_funct_2(k7_grcat_1(U_162),u1_struct_0(U_162),u1_struct_0(U_162))
| ~ sP52(U_162) )
& ! [U_162] :
( v2_funct_1(k7_grcat_1(U_162))
| ~ sP52(U_162) )
& ! [U_162] :
( v1_funct_1(k7_grcat_1(U_162))
| ~ sP52(U_162) )
& ! [U_162] :
( v1_relat_1(k7_grcat_1(U_162))
| ~ sP52(U_162) )
& ! [U_162] :
( sP52(U_162)
| ~ l1_struct_0(U_162) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP52])],[f_94_2]) ).
cnf(f_94_4,plain,
( sP52(U_162)
| ~ l1_struct_0(U_162) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_5,plain,
( v1_relat_1(k7_grcat_1(U_162))
| ~ sP52(U_162) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_6,plain,
( v1_funct_1(k7_grcat_1(U_162))
| ~ sP52(U_162) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_7,plain,
( v2_funct_1(k7_grcat_1(U_162))
| ~ sP52(U_162) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_8,plain,
( v1_funct_2(k7_grcat_1(U_162),u1_struct_0(U_162),u1_struct_0(U_162))
| ~ sP52(U_162) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [A] :
( ( v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_waybel_1]) ).
fof(f_95_2,plain,
! [U_163] :
( ( v6_waybel_1(k7_grcat_1(U_163),U_163)
& v23_waybel_0(k7_grcat_1(U_163),U_163,U_163)
& v5_orders_3(k7_grcat_1(U_163),U_163,U_163)
& v1_partfun1(k7_grcat_1(U_163),u1_struct_0(U_163),u1_struct_0(U_163))
& v1_funct_2(k7_grcat_1(U_163),u1_struct_0(U_163),u1_struct_0(U_163))
& ~ v1_xboole_0(k7_grcat_1(U_163))
& v2_funct_1(k7_grcat_1(U_163))
& v1_funct_1(k7_grcat_1(U_163))
& v1_relat_1(k7_grcat_1(U_163)) )
| ~ l1_orders_2(U_163)
| v3_struct_0(U_163) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
( ! [U_163] :
( v6_waybel_1(k7_grcat_1(U_163),U_163)
| ~ sP53(U_163) )
& ! [U_163] :
( v23_waybel_0(k7_grcat_1(U_163),U_163,U_163)
| ~ sP53(U_163) )
& ! [U_163] :
( v5_orders_3(k7_grcat_1(U_163),U_163,U_163)
| ~ sP53(U_163) )
& ! [U_163] :
( v1_partfun1(k7_grcat_1(U_163),u1_struct_0(U_163),u1_struct_0(U_163))
| ~ sP53(U_163) )
& ! [U_163] :
( v1_funct_2(k7_grcat_1(U_163),u1_struct_0(U_163),u1_struct_0(U_163))
| ~ sP53(U_163) )
& ! [U_163] :
( ~ v1_xboole_0(k7_grcat_1(U_163))
| ~ sP53(U_163) )
& ! [U_163] :
( v2_funct_1(k7_grcat_1(U_163))
| ~ sP53(U_163) )
& ! [U_163] :
( v1_funct_1(k7_grcat_1(U_163))
| ~ sP53(U_163) )
& ! [U_163] :
( v1_relat_1(k7_grcat_1(U_163))
| ~ sP53(U_163) )
& ! [U_163] :
( sP53(U_163)
| ~ l1_orders_2(U_163)
| v3_struct_0(U_163) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP53])],[f_95_2]) ).
cnf(f_95_4,plain,
( sP53(U_163)
| ~ l1_orders_2(U_163)
| v3_struct_0(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_5,plain,
( v1_relat_1(k7_grcat_1(U_163))
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_6,plain,
( v1_funct_1(k7_grcat_1(U_163))
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_7,plain,
( v2_funct_1(k7_grcat_1(U_163))
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_8,plain,
( ~ v1_xboole_0(k7_grcat_1(U_163))
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_9,plain,
( v1_funct_2(k7_grcat_1(U_163),u1_struct_0(U_163),u1_struct_0(U_163))
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_10,plain,
( v1_partfun1(k7_grcat_1(U_163),u1_struct_0(U_163),u1_struct_0(U_163))
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_11,plain,
( v5_orders_3(k7_grcat_1(U_163),U_163,U_163)
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_12,plain,
( v23_waybel_0(k7_grcat_1(U_163),U_163,U_163)
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_13,plain,
( v6_waybel_1(k7_grcat_1(U_163),U_163)
| ~ sP53(U_163) ),
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
! [A] :
( ( v8_waybel_1(k7_grcat_1(A),A)
& v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v22_waybel_0(k7_grcat_1(A),A,A)
& v21_waybel_0(k7_grcat_1(A),A,A)
& v20_waybel_0(k7_grcat_1(A),A,A)
& v19_waybel_0(k7_grcat_1(A),A,A)
& v18_waybel_0(k7_grcat_1(A),A,A)
& v17_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v11_quantal1(k7_grcat_1(A))
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_waybel10]) ).
fof(f_96_2,plain,
! [U_164] :
( ( v8_waybel_1(k7_grcat_1(U_164),U_164)
& v7_waybel_1(k7_grcat_1(U_164),U_164)
& v6_waybel_1(k7_grcat_1(U_164),U_164)
& v23_waybel_0(k7_grcat_1(U_164),U_164,U_164)
& v22_waybel_0(k7_grcat_1(U_164),U_164,U_164)
& v21_waybel_0(k7_grcat_1(U_164),U_164,U_164)
& v20_waybel_0(k7_grcat_1(U_164),U_164,U_164)
& v19_waybel_0(k7_grcat_1(U_164),U_164,U_164)
& v18_waybel_0(k7_grcat_1(U_164),U_164,U_164)
& v17_waybel_0(k7_grcat_1(U_164),U_164,U_164)
& v5_orders_3(k7_grcat_1(U_164),U_164,U_164)
& v11_quantal1(k7_grcat_1(U_164))
& v1_partfun1(k7_grcat_1(U_164),u1_struct_0(U_164),u1_struct_0(U_164))
& v1_funct_2(k7_grcat_1(U_164),u1_struct_0(U_164),u1_struct_0(U_164))
& ~ v1_xboole_0(k7_grcat_1(U_164))
& v2_funct_1(k7_grcat_1(U_164))
& v1_funct_1(k7_grcat_1(U_164))
& v1_relat_1(k7_grcat_1(U_164)) )
| ~ l1_orders_2(U_164)
| ~ v2_orders_2(U_164)
| v3_struct_0(U_164) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
( ! [U_164] :
( v8_waybel_1(k7_grcat_1(U_164),U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v7_waybel_1(k7_grcat_1(U_164),U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v6_waybel_1(k7_grcat_1(U_164),U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v23_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v22_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v21_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v20_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v19_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v18_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v17_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v5_orders_3(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) )
& ! [U_164] :
( v11_quantal1(k7_grcat_1(U_164))
| ~ sP54(U_164) )
& ! [U_164] :
( v1_partfun1(k7_grcat_1(U_164),u1_struct_0(U_164),u1_struct_0(U_164))
| ~ sP54(U_164) )
& ! [U_164] :
( v1_funct_2(k7_grcat_1(U_164),u1_struct_0(U_164),u1_struct_0(U_164))
| ~ sP54(U_164) )
& ! [U_164] :
( ~ v1_xboole_0(k7_grcat_1(U_164))
| ~ sP54(U_164) )
& ! [U_164] :
( v2_funct_1(k7_grcat_1(U_164))
| ~ sP54(U_164) )
& ! [U_164] :
( v1_funct_1(k7_grcat_1(U_164))
| ~ sP54(U_164) )
& ! [U_164] :
( v1_relat_1(k7_grcat_1(U_164))
| ~ sP54(U_164) )
& ! [U_164] :
( sP54(U_164)
| ~ l1_orders_2(U_164)
| ~ v2_orders_2(U_164)
| v3_struct_0(U_164) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP54])],[f_96_2]) ).
cnf(f_96_4,plain,
( sP54(U_164)
| ~ l1_orders_2(U_164)
| ~ v2_orders_2(U_164)
| v3_struct_0(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_5,plain,
( v1_relat_1(k7_grcat_1(U_164))
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_6,plain,
( v1_funct_1(k7_grcat_1(U_164))
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_7,plain,
( v2_funct_1(k7_grcat_1(U_164))
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_8,plain,
( ~ v1_xboole_0(k7_grcat_1(U_164))
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_9,plain,
( v1_funct_2(k7_grcat_1(U_164),u1_struct_0(U_164),u1_struct_0(U_164))
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_10,plain,
( v1_partfun1(k7_grcat_1(U_164),u1_struct_0(U_164),u1_struct_0(U_164))
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_11,plain,
( v11_quantal1(k7_grcat_1(U_164))
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_12,plain,
( v5_orders_3(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_13,plain,
( v17_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_14,plain,
( v18_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_15,plain,
( v19_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_16,plain,
( v20_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_17,plain,
( v21_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_18,plain,
( v22_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_19,plain,
( v23_waybel_0(k7_grcat_1(U_164),U_164,U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_20,plain,
( v6_waybel_1(k7_grcat_1(U_164),U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_21,plain,
( v7_waybel_1(k7_grcat_1(U_164),U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_22,plain,
( v8_waybel_1(k7_grcat_1(U_164),U_164)
| ~ sP54(U_164) ),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [A] :
( ( v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_waybel_1]) ).
fof(f_97_2,plain,
! [U_165] :
( ( v7_waybel_1(k7_grcat_1(U_165),U_165)
& v6_waybel_1(k7_grcat_1(U_165),U_165)
& v23_waybel_0(k7_grcat_1(U_165),U_165,U_165)
& v5_orders_3(k7_grcat_1(U_165),U_165,U_165)
& v1_partfun1(k7_grcat_1(U_165),u1_struct_0(U_165),u1_struct_0(U_165))
& v1_funct_2(k7_grcat_1(U_165),u1_struct_0(U_165),u1_struct_0(U_165))
& ~ v1_xboole_0(k7_grcat_1(U_165))
& v2_funct_1(k7_grcat_1(U_165))
& v1_funct_1(k7_grcat_1(U_165))
& v1_relat_1(k7_grcat_1(U_165)) )
| ~ l1_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
( ! [U_165] :
( v7_waybel_1(k7_grcat_1(U_165),U_165)
| ~ sP55(U_165) )
& ! [U_165] :
( v6_waybel_1(k7_grcat_1(U_165),U_165)
| ~ sP55(U_165) )
& ! [U_165] :
( v23_waybel_0(k7_grcat_1(U_165),U_165,U_165)
| ~ sP55(U_165) )
& ! [U_165] :
( v5_orders_3(k7_grcat_1(U_165),U_165,U_165)
| ~ sP55(U_165) )
& ! [U_165] :
( v1_partfun1(k7_grcat_1(U_165),u1_struct_0(U_165),u1_struct_0(U_165))
| ~ sP55(U_165) )
& ! [U_165] :
( v1_funct_2(k7_grcat_1(U_165),u1_struct_0(U_165),u1_struct_0(U_165))
| ~ sP55(U_165) )
& ! [U_165] :
( ~ v1_xboole_0(k7_grcat_1(U_165))
| ~ sP55(U_165) )
& ! [U_165] :
( v2_funct_1(k7_grcat_1(U_165))
| ~ sP55(U_165) )
& ! [U_165] :
( v1_funct_1(k7_grcat_1(U_165))
| ~ sP55(U_165) )
& ! [U_165] :
( v1_relat_1(k7_grcat_1(U_165))
| ~ sP55(U_165) )
& ! [U_165] :
( sP55(U_165)
| ~ l1_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP55])],[f_97_2]) ).
cnf(f_97_4,plain,
( sP55(U_165)
| ~ l1_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_5,plain,
( v1_relat_1(k7_grcat_1(U_165))
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_6,plain,
( v1_funct_1(k7_grcat_1(U_165))
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_7,plain,
( v2_funct_1(k7_grcat_1(U_165))
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_8,plain,
( ~ v1_xboole_0(k7_grcat_1(U_165))
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_9,plain,
( v1_funct_2(k7_grcat_1(U_165),u1_struct_0(U_165),u1_struct_0(U_165))
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_10,plain,
( v1_partfun1(k7_grcat_1(U_165),u1_struct_0(U_165),u1_struct_0(U_165))
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_11,plain,
( v5_orders_3(k7_grcat_1(U_165),U_165,U_165)
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_12,plain,
( v23_waybel_0(k7_grcat_1(U_165),U_165,U_165)
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_13,plain,
( v6_waybel_1(k7_grcat_1(U_165),U_165)
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_14,plain,
( v7_waybel_1(k7_grcat_1(U_165),U_165)
| ~ sP55(U_165) ),
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_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_98_2,plain,
! [U_166] :
( ( v1_orders_2(g1_orders_2(u1_struct_0(U_166),u1_orders_2(U_166)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_166),u1_orders_2(U_166))) )
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
( ! [U_166] :
( v1_orders_2(g1_orders_2(u1_struct_0(U_166),u1_orders_2(U_166)))
| ~ sP56(U_166) )
& ! [U_166] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_166),u1_orders_2(U_166)))
| ~ sP56(U_166) )
& ! [U_166] :
( sP56(U_166)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP56])],[f_98_2]) ).
cnf(f_98_4,plain,
( sP56(U_166)
| ~ l1_orders_2(U_166)
| v3_struct_0(U_166) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_5,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_166),u1_orders_2(U_166)))
| ~ sP56(U_166) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_6,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_166),u1_orders_2(U_166)))
| ~ sP56(U_166) ),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
! [A,B] :
( ( v1_funct_1(k8_relat_1(A,B))
& v1_relat_1(k8_relat_1(A,B)) )
| ~ v1_funct_1(B)
| ~ v1_relat_1(B) ),
inference(fof_nnf,[status(thm)],[fc5_funct_1]) ).
fof(f_99_2,plain,
! [U_168,U_167] :
( ( v1_funct_1(k8_relat_1(U_168,U_167))
& v1_relat_1(k8_relat_1(U_168,U_167)) )
| ~ v1_funct_1(U_167)
| ~ v1_relat_1(U_167) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
( ! [U_167,U_168] :
( v1_funct_1(k8_relat_1(U_168,U_167))
| ~ sP57(U_167,U_168) )
& ! [U_167,U_168] :
( v1_relat_1(k8_relat_1(U_168,U_167))
| ~ sP57(U_167,U_168) )
& ! [U_167,U_168] :
( sP57(U_167,U_168)
| ~ v1_funct_1(U_167)
| ~ v1_relat_1(U_167) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP57])],[f_99_2]) ).
cnf(f_99_4,plain,
( sP57(U_167,U_168)
| ~ v1_funct_1(U_167)
| ~ v1_relat_1(U_167) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_5,plain,
( v1_relat_1(k8_relat_1(U_168,U_167))
| ~ sP57(U_167,U_168) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_6,plain,
( v1_funct_1(k8_relat_1(U_168,U_167))
| ~ sP57(U_167,U_168) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [A] :
( ( v8_waybel_1(k7_grcat_1(A),A)
& v7_waybel_1(k7_grcat_1(A),A)
& v6_waybel_1(k7_grcat_1(A),A)
& v23_waybel_0(k7_grcat_1(A),A,A)
& v5_orders_3(k7_grcat_1(A),A,A)
& v1_partfun1(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(k7_grcat_1(A),u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(k7_grcat_1(A))
& v2_funct_1(k7_grcat_1(A))
& v1_funct_1(k7_grcat_1(A))
& v1_relat_1(k7_grcat_1(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc5_waybel_1]) ).
fof(f_100_2,plain,
! [U_169] :
( ( v8_waybel_1(k7_grcat_1(U_169),U_169)
& v7_waybel_1(k7_grcat_1(U_169),U_169)
& v6_waybel_1(k7_grcat_1(U_169),U_169)
& v23_waybel_0(k7_grcat_1(U_169),U_169,U_169)
& v5_orders_3(k7_grcat_1(U_169),U_169,U_169)
& v1_partfun1(k7_grcat_1(U_169),u1_struct_0(U_169),u1_struct_0(U_169))
& v1_funct_2(k7_grcat_1(U_169),u1_struct_0(U_169),u1_struct_0(U_169))
& ~ v1_xboole_0(k7_grcat_1(U_169))
& v2_funct_1(k7_grcat_1(U_169))
& v1_funct_1(k7_grcat_1(U_169))
& v1_relat_1(k7_grcat_1(U_169)) )
| ~ l1_orders_2(U_169)
| ~ v2_orders_2(U_169)
| v3_struct_0(U_169) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
( ! [U_169] :
( v8_waybel_1(k7_grcat_1(U_169),U_169)
| ~ sP58(U_169) )
& ! [U_169] :
( v7_waybel_1(k7_grcat_1(U_169),U_169)
| ~ sP58(U_169) )
& ! [U_169] :
( v6_waybel_1(k7_grcat_1(U_169),U_169)
| ~ sP58(U_169) )
& ! [U_169] :
( v23_waybel_0(k7_grcat_1(U_169),U_169,U_169)
| ~ sP58(U_169) )
& ! [U_169] :
( v5_orders_3(k7_grcat_1(U_169),U_169,U_169)
| ~ sP58(U_169) )
& ! [U_169] :
( v1_partfun1(k7_grcat_1(U_169),u1_struct_0(U_169),u1_struct_0(U_169))
| ~ sP58(U_169) )
& ! [U_169] :
( v1_funct_2(k7_grcat_1(U_169),u1_struct_0(U_169),u1_struct_0(U_169))
| ~ sP58(U_169) )
& ! [U_169] :
( ~ v1_xboole_0(k7_grcat_1(U_169))
| ~ sP58(U_169) )
& ! [U_169] :
( v2_funct_1(k7_grcat_1(U_169))
| ~ sP58(U_169) )
& ! [U_169] :
( v1_funct_1(k7_grcat_1(U_169))
| ~ sP58(U_169) )
& ! [U_169] :
( v1_relat_1(k7_grcat_1(U_169))
| ~ sP58(U_169) )
& ! [U_169] :
( sP58(U_169)
| ~ l1_orders_2(U_169)
| ~ v2_orders_2(U_169)
| v3_struct_0(U_169) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP58])],[f_100_2]) ).
cnf(f_100_4,plain,
( sP58(U_169)
| ~ l1_orders_2(U_169)
| ~ v2_orders_2(U_169)
| v3_struct_0(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_5,plain,
( v1_relat_1(k7_grcat_1(U_169))
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_6,plain,
( v1_funct_1(k7_grcat_1(U_169))
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_7,plain,
( v2_funct_1(k7_grcat_1(U_169))
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_8,plain,
( ~ v1_xboole_0(k7_grcat_1(U_169))
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_9,plain,
( v1_funct_2(k7_grcat_1(U_169),u1_struct_0(U_169),u1_struct_0(U_169))
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_10,plain,
( v1_partfun1(k7_grcat_1(U_169),u1_struct_0(U_169),u1_struct_0(U_169))
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_11,plain,
( v5_orders_3(k7_grcat_1(U_169),U_169,U_169)
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_12,plain,
( v23_waybel_0(k7_grcat_1(U_169),U_169,U_169)
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_13,plain,
( v6_waybel_1(k7_grcat_1(U_169),U_169)
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_14,plain,
( v7_waybel_1(k7_grcat_1(U_169),U_169)
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_15,plain,
( v8_waybel_1(k7_grcat_1(U_169),U_169)
| ~ sP58(U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_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_101_2,plain,
! [U_170] :
( ( v2_orders_2(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170))) )
| ~ l1_orders_2(U_170)
| ~ v2_orders_2(U_170)
| v3_struct_0(U_170) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
( ! [U_170] :
( v2_orders_2(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170)))
| ~ sP59(U_170) )
& ! [U_170] :
( v1_orders_2(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170)))
| ~ sP59(U_170) )
& ! [U_170] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170)))
| ~ sP59(U_170) )
& ! [U_170] :
( sP59(U_170)
| ~ l1_orders_2(U_170)
| ~ v2_orders_2(U_170)
| v3_struct_0(U_170) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP59])],[f_101_2]) ).
cnf(f_101_4,plain,
( sP59(U_170)
| ~ l1_orders_2(U_170)
| ~ v2_orders_2(U_170)
| v3_struct_0(U_170) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_5,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170)))
| ~ sP59(U_170) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_6,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170)))
| ~ sP59(U_170) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_7,plain,
( v2_orders_2(g1_orders_2(u1_struct_0(U_170),u1_orders_2(U_170)))
| ~ sP59(U_170) ),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_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]) ).
fof(f_102_2,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(definitional_conversion,[status(esa)],[f_102_1]) ).
cnf(f_102_3,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_102_2]) ).
cnf(f_102_4,plain,
v1_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_102_2]) ).
cnf(f_102_5,plain,
v2_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_102_2]) ).
cnf(f_102_6,plain,
v3_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_102_2]) ).
cnf(f_102_7,plain,
v4_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_102_2]) ).
cnf(f_102_8,plain,
v5_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_102_2]) ).
fof(f_103_1,plain,
! [A,B,C] :
( ( v1_partfun1(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v2_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& v1_funct_2(k2_waybel_1(A,B,C),u1_struct_0(A),u1_struct_0(k2_yellow_2(A,B,C)))
& ~ v1_xboole_0(k2_waybel_1(A,B,C))
& v1_funct_1(k2_waybel_1(A,B,C))
& v1_relat_1(k2_waybel_1(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)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc6_waybel_1]) ).
fof(f_103_2,plain,
! [U_173,U_172,U_171] :
( ( v1_partfun1(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
& v2_funct_2(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
& v1_funct_2(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
& ~ v1_xboole_0(k2_waybel_1(U_173,U_172,U_171))
& v1_funct_1(k2_waybel_1(U_173,U_172,U_171))
& v1_relat_1(k2_waybel_1(U_173,U_172,U_171)) )
| ~ m1_relset_1(U_171,u1_struct_0(U_173),u1_struct_0(U_172))
| ~ v1_funct_2(U_171,u1_struct_0(U_173),u1_struct_0(U_172))
| ~ v1_funct_1(U_171)
| ~ l1_orders_2(U_172)
| v3_struct_0(U_172)
| ~ l1_orders_2(U_173)
| v3_struct_0(U_173) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
( ! [U_171,U_172,U_173] :
( v1_partfun1(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
| ~ sP60(U_171,U_172,U_173) )
& ! [U_171,U_172,U_173] :
( v2_funct_2(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
| ~ sP60(U_171,U_172,U_173) )
& ! [U_171,U_172,U_173] :
( v1_funct_2(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
| ~ sP60(U_171,U_172,U_173) )
& ! [U_171,U_172,U_173] :
( ~ v1_xboole_0(k2_waybel_1(U_173,U_172,U_171))
| ~ sP60(U_171,U_172,U_173) )
& ! [U_171,U_172,U_173] :
( v1_funct_1(k2_waybel_1(U_173,U_172,U_171))
| ~ sP60(U_171,U_172,U_173) )
& ! [U_171,U_172,U_173] :
( v1_relat_1(k2_waybel_1(U_173,U_172,U_171))
| ~ sP60(U_171,U_172,U_173) )
& ! [U_171,U_172,U_173] :
( sP60(U_171,U_172,U_173)
| ~ m1_relset_1(U_171,u1_struct_0(U_173),u1_struct_0(U_172))
| ~ v1_funct_2(U_171,u1_struct_0(U_173),u1_struct_0(U_172))
| ~ v1_funct_1(U_171)
| ~ l1_orders_2(U_172)
| v3_struct_0(U_172)
| ~ l1_orders_2(U_173)
| v3_struct_0(U_173) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP60])],[f_103_2]) ).
cnf(f_103_4,plain,
( sP60(U_171,U_172,U_173)
| ~ m1_relset_1(U_171,u1_struct_0(U_173),u1_struct_0(U_172))
| ~ v1_funct_2(U_171,u1_struct_0(U_173),u1_struct_0(U_172))
| ~ v1_funct_1(U_171)
| ~ l1_orders_2(U_172)
| v3_struct_0(U_172)
| ~ l1_orders_2(U_173)
| v3_struct_0(U_173) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_5,plain,
( v1_relat_1(k2_waybel_1(U_173,U_172,U_171))
| ~ sP60(U_171,U_172,U_173) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_6,plain,
( v1_funct_1(k2_waybel_1(U_173,U_172,U_171))
| ~ sP60(U_171,U_172,U_173) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_7,plain,
( ~ v1_xboole_0(k2_waybel_1(U_173,U_172,U_171))
| ~ sP60(U_171,U_172,U_173) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_8,plain,
( v1_funct_2(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
| ~ sP60(U_171,U_172,U_173) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_9,plain,
( v2_funct_2(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
| ~ sP60(U_171,U_172,U_173) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_10,plain,
( v1_partfun1(k2_waybel_1(U_173,U_172,U_171),u1_struct_0(U_173),u1_struct_0(k2_yellow_2(U_173,U_172,U_171)))
| ~ sP60(U_171,U_172,U_173) ),
inference(clausify,[status(thm)],[f_103_3]) ).
fof(f_104_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_104_2,plain,
! [U_174] :
( ( v3_orders_2(g1_orders_2(u1_struct_0(U_174),u1_orders_2(U_174)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_174),u1_orders_2(U_174))) )
| ~ l1_orders_2(U_174)
| ~ v3_orders_2(U_174) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
( ! [U_174] :
( v3_orders_2(g1_orders_2(u1_struct_0(U_174),u1_orders_2(U_174)))
| ~ sP61(U_174) )
& ! [U_174] :
( v1_orders_2(g1_orders_2(u1_struct_0(U_174),u1_orders_2(U_174)))
| ~ sP61(U_174) )
& ! [U_174] :
( sP61(U_174)
| ~ l1_orders_2(U_174)
| ~ v3_orders_2(U_174) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP61])],[f_104_2]) ).
cnf(f_104_4,plain,
( sP61(U_174)
| ~ l1_orders_2(U_174)
| ~ v3_orders_2(U_174) ),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_5,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_174),u1_orders_2(U_174)))
| ~ sP61(U_174) ),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_6,plain,
( v3_orders_2(g1_orders_2(u1_struct_0(U_174),u1_orders_2(U_174)))
| ~ sP61(U_174) ),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [A,B,C] :
( ( v5_orders_3(k3_waybel_1(A,B,C),k2_yellow_2(A,B,C),B)
& v1_partfun1(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& v1_funct_2(k3_waybel_1(A,B,C),u1_struct_0(k2_yellow_2(A,B,C)),u1_struct_0(B))
& ~ v1_xboole_0(k3_waybel_1(A,B,C))
& v2_funct_1(k3_waybel_1(A,B,C))
& v1_funct_1(k3_waybel_1(A,B,C))
& v1_relat_1(k3_waybel_1(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)
| v3_struct_0(B)
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc7_waybel_1]) ).
fof(f_105_2,plain,
! [U_177,U_176,U_175] :
( ( v5_orders_3(k3_waybel_1(U_177,U_176,U_175),k2_yellow_2(U_177,U_176,U_175),U_176)
& v1_partfun1(k3_waybel_1(U_177,U_176,U_175),u1_struct_0(k2_yellow_2(U_177,U_176,U_175)),u1_struct_0(U_176))
& v1_funct_2(k3_waybel_1(U_177,U_176,U_175),u1_struct_0(k2_yellow_2(U_177,U_176,U_175)),u1_struct_0(U_176))
& ~ v1_xboole_0(k3_waybel_1(U_177,U_176,U_175))
& v2_funct_1(k3_waybel_1(U_177,U_176,U_175))
& v1_funct_1(k3_waybel_1(U_177,U_176,U_175))
& v1_relat_1(k3_waybel_1(U_177,U_176,U_175)) )
| ~ m1_relset_1(U_175,u1_struct_0(U_177),u1_struct_0(U_176))
| ~ v1_funct_2(U_175,u1_struct_0(U_177),u1_struct_0(U_176))
| ~ v1_funct_1(U_175)
| ~ l1_orders_2(U_176)
| v3_struct_0(U_176)
| ~ l1_orders_2(U_177)
| v3_struct_0(U_177) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
( ! [U_175,U_177,U_176] :
( v5_orders_3(k3_waybel_1(U_177,U_176,U_175),k2_yellow_2(U_177,U_176,U_175),U_176)
| ~ sP62(U_175,U_177,U_176) )
& ! [U_175,U_177,U_176] :
( v1_partfun1(k3_waybel_1(U_177,U_176,U_175),u1_struct_0(k2_yellow_2(U_177,U_176,U_175)),u1_struct_0(U_176))
| ~ sP62(U_175,U_177,U_176) )
& ! [U_175,U_177,U_176] :
( v1_funct_2(k3_waybel_1(U_177,U_176,U_175),u1_struct_0(k2_yellow_2(U_177,U_176,U_175)),u1_struct_0(U_176))
| ~ sP62(U_175,U_177,U_176) )
& ! [U_175,U_177,U_176] :
( ~ v1_xboole_0(k3_waybel_1(U_177,U_176,U_175))
| ~ sP62(U_175,U_177,U_176) )
& ! [U_175,U_177,U_176] :
( v2_funct_1(k3_waybel_1(U_177,U_176,U_175))
| ~ sP62(U_175,U_177,U_176) )
& ! [U_175,U_177,U_176] :
( v1_funct_1(k3_waybel_1(U_177,U_176,U_175))
| ~ sP62(U_175,U_177,U_176) )
& ! [U_175,U_177,U_176] :
( v1_relat_1(k3_waybel_1(U_177,U_176,U_175))
| ~ sP62(U_175,U_177,U_176) )
& ! [U_175,U_177,U_176] :
( sP62(U_175,U_177,U_176)
| ~ m1_relset_1(U_175,u1_struct_0(U_177),u1_struct_0(U_176))
| ~ v1_funct_2(U_175,u1_struct_0(U_177),u1_struct_0(U_176))
| ~ v1_funct_1(U_175)
| ~ l1_orders_2(U_176)
| v3_struct_0(U_176)
| ~ l1_orders_2(U_177)
| v3_struct_0(U_177) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP62])],[f_105_2]) ).
cnf(f_105_4,plain,
( sP62(U_175,U_177,U_176)
| ~ m1_relset_1(U_175,u1_struct_0(U_177),u1_struct_0(U_176))
| ~ v1_funct_2(U_175,u1_struct_0(U_177),u1_struct_0(U_176))
| ~ v1_funct_1(U_175)
| ~ l1_orders_2(U_176)
| v3_struct_0(U_176)
| ~ l1_orders_2(U_177)
| v3_struct_0(U_177) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_5,plain,
( v1_relat_1(k3_waybel_1(U_177,U_176,U_175))
| ~ sP62(U_175,U_177,U_176) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_6,plain,
( v1_funct_1(k3_waybel_1(U_177,U_176,U_175))
| ~ sP62(U_175,U_177,U_176) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_7,plain,
( v2_funct_1(k3_waybel_1(U_177,U_176,U_175))
| ~ sP62(U_175,U_177,U_176) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_8,plain,
( ~ v1_xboole_0(k3_waybel_1(U_177,U_176,U_175))
| ~ sP62(U_175,U_177,U_176) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_9,plain,
( v1_funct_2(k3_waybel_1(U_177,U_176,U_175),u1_struct_0(k2_yellow_2(U_177,U_176,U_175)),u1_struct_0(U_176))
| ~ sP62(U_175,U_177,U_176) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_10,plain,
( v1_partfun1(k3_waybel_1(U_177,U_176,U_175),u1_struct_0(k2_yellow_2(U_177,U_176,U_175)),u1_struct_0(U_176))
| ~ sP62(U_175,U_177,U_176) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_11,plain,
( v5_orders_3(k3_waybel_1(U_177,U_176,U_175),k2_yellow_2(U_177,U_176,U_175),U_176)
| ~ sP62(U_175,U_177,U_176) ),
inference(clausify,[status(thm)],[f_105_3]) ).
fof(f_106_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_106_2,plain,
! [U_178] :
( ( v4_orders_2(g1_orders_2(u1_struct_0(U_178),u1_orders_2(U_178)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_178),u1_orders_2(U_178))) )
| ~ l1_orders_2(U_178)
| ~ v4_orders_2(U_178) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( ! [U_178] :
( v4_orders_2(g1_orders_2(u1_struct_0(U_178),u1_orders_2(U_178)))
| ~ sP63(U_178) )
& ! [U_178] :
( v1_orders_2(g1_orders_2(u1_struct_0(U_178),u1_orders_2(U_178)))
| ~ sP63(U_178) )
& ! [U_178] :
( sP63(U_178)
| ~ l1_orders_2(U_178)
| ~ v4_orders_2(U_178) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP63])],[f_106_2]) ).
cnf(f_106_4,plain,
( sP63(U_178)
| ~ l1_orders_2(U_178)
| ~ v4_orders_2(U_178) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_5,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_178),u1_orders_2(U_178)))
| ~ sP63(U_178) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_6,plain,
( v4_orders_2(g1_orders_2(u1_struct_0(U_178),u1_orders_2(U_178)))
| ~ sP63(U_178) ),
inference(clausify,[status(thm)],[f_106_3]) ).
fof(f_107_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_107_2,plain,
! [U_179] :
( ( v2_lattice3(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179))) )
| ~ l1_orders_2(U_179)
| ~ v2_lattice3(U_179) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
( ! [U_179] :
( v2_lattice3(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179)))
| ~ sP64(U_179) )
& ! [U_179] :
( v1_orders_2(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179)))
| ~ sP64(U_179) )
& ! [U_179] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179)))
| ~ sP64(U_179) )
& ! [U_179] :
( sP64(U_179)
| ~ l1_orders_2(U_179)
| ~ v2_lattice3(U_179) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP64])],[f_107_2]) ).
cnf(f_107_4,plain,
( sP64(U_179)
| ~ l1_orders_2(U_179)
| ~ v2_lattice3(U_179) ),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_5,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179)))
| ~ sP64(U_179) ),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_6,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179)))
| ~ sP64(U_179) ),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_7,plain,
( v2_lattice3(g1_orders_2(u1_struct_0(U_179),u1_orders_2(U_179)))
| ~ sP64(U_179) ),
inference(clausify,[status(thm)],[f_107_3]) ).
fof(f_108_1,plain,
! [A,B,C] :
( ( v3_lattice3(k2_yellow_2(A,B,C))
& v2_lattice3(k2_yellow_2(A,B,C))
& v1_lattice3(k2_yellow_2(A,B,C))
& v25_waybel_0(k2_yellow_2(A,B,C))
& v24_waybel_0(k2_yellow_2(A,B,C))
& v4_yellow_0(k2_yellow_2(A,B,C),B)
& v3_yellow_0(k2_yellow_2(A,B,C))
& v2_yellow_0(k2_yellow_2(A,B,C))
& v1_yellow_0(k2_yellow_2(A,B,C))
& v4_orders_2(k2_yellow_2(A,B,C))
& v3_orders_2(k2_yellow_2(A,B,C))
& v2_orders_2(k2_yellow_2(A,B,C))
& v1_orders_2(k2_yellow_2(A,B,C))
& ~ v3_struct_0(k2_yellow_2(A,B,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)
| ~ 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)],[fc9_waybel34]) ).
fof(f_108_2,plain,
! [U_182,U_181,U_180] :
( ( v3_lattice3(k2_yellow_2(U_182,U_181,U_180))
& v2_lattice3(k2_yellow_2(U_182,U_181,U_180))
& v1_lattice3(k2_yellow_2(U_182,U_181,U_180))
& v25_waybel_0(k2_yellow_2(U_182,U_181,U_180))
& v24_waybel_0(k2_yellow_2(U_182,U_181,U_180))
& v4_yellow_0(k2_yellow_2(U_182,U_181,U_180),U_181)
& v3_yellow_0(k2_yellow_2(U_182,U_181,U_180))
& v2_yellow_0(k2_yellow_2(U_182,U_181,U_180))
& v1_yellow_0(k2_yellow_2(U_182,U_181,U_180))
& v4_orders_2(k2_yellow_2(U_182,U_181,U_180))
& v3_orders_2(k2_yellow_2(U_182,U_181,U_180))
& v2_orders_2(k2_yellow_2(U_182,U_181,U_180))
& v1_orders_2(k2_yellow_2(U_182,U_181,U_180))
& ~ v3_struct_0(k2_yellow_2(U_182,U_181,U_180)) )
| ~ m1_relset_1(U_180,u1_struct_0(U_182),u1_struct_0(U_181))
| ~ v18_waybel_0(U_180,U_182,U_181)
| ~ v1_funct_2(U_180,u1_struct_0(U_182),u1_struct_0(U_181))
| ~ v1_funct_1(U_180)
| ~ l1_orders_2(U_181)
| ~ v3_lattice3(U_181)
| ~ v2_lattice3(U_181)
| ~ v1_lattice3(U_181)
| ~ v4_orders_2(U_181)
| ~ v3_orders_2(U_181)
| ~ v2_orders_2(U_181)
| ~ l1_orders_2(U_182)
| ~ v3_lattice3(U_182)
| ~ v2_lattice3(U_182)
| ~ v1_lattice3(U_182)
| ~ v4_orders_2(U_182)
| ~ v3_orders_2(U_182)
| ~ v2_orders_2(U_182) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
( ! [U_182,U_181,U_180] :
( v3_lattice3(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v2_lattice3(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v1_lattice3(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v25_waybel_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v24_waybel_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v4_yellow_0(k2_yellow_2(U_182,U_181,U_180),U_181)
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v3_yellow_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v2_yellow_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v1_yellow_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v4_orders_2(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v3_orders_2(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v2_orders_2(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( v1_orders_2(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( ~ v3_struct_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) )
& ! [U_182,U_181,U_180] :
( sP65(U_182,U_181,U_180)
| ~ m1_relset_1(U_180,u1_struct_0(U_182),u1_struct_0(U_181))
| ~ v18_waybel_0(U_180,U_182,U_181)
| ~ v1_funct_2(U_180,u1_struct_0(U_182),u1_struct_0(U_181))
| ~ v1_funct_1(U_180)
| ~ l1_orders_2(U_181)
| ~ v3_lattice3(U_181)
| ~ v2_lattice3(U_181)
| ~ v1_lattice3(U_181)
| ~ v4_orders_2(U_181)
| ~ v3_orders_2(U_181)
| ~ v2_orders_2(U_181)
| ~ l1_orders_2(U_182)
| ~ v3_lattice3(U_182)
| ~ v2_lattice3(U_182)
| ~ v1_lattice3(U_182)
| ~ v4_orders_2(U_182)
| ~ v3_orders_2(U_182)
| ~ v2_orders_2(U_182) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP65])],[f_108_2]) ).
cnf(f_108_4,plain,
( sP65(U_182,U_181,U_180)
| ~ m1_relset_1(U_180,u1_struct_0(U_182),u1_struct_0(U_181))
| ~ v18_waybel_0(U_180,U_182,U_181)
| ~ v1_funct_2(U_180,u1_struct_0(U_182),u1_struct_0(U_181))
| ~ v1_funct_1(U_180)
| ~ l1_orders_2(U_181)
| ~ v3_lattice3(U_181)
| ~ v2_lattice3(U_181)
| ~ v1_lattice3(U_181)
| ~ v4_orders_2(U_181)
| ~ v3_orders_2(U_181)
| ~ v2_orders_2(U_181)
| ~ l1_orders_2(U_182)
| ~ v3_lattice3(U_182)
| ~ v2_lattice3(U_182)
| ~ v1_lattice3(U_182)
| ~ v4_orders_2(U_182)
| ~ v3_orders_2(U_182)
| ~ v2_orders_2(U_182) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_5,plain,
( ~ v3_struct_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_6,plain,
( v1_orders_2(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_7,plain,
( v2_orders_2(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_8,plain,
( v3_orders_2(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_9,plain,
( v4_orders_2(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_10,plain,
( v1_yellow_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_11,plain,
( v2_yellow_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_12,plain,
( v3_yellow_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_13,plain,
( v4_yellow_0(k2_yellow_2(U_182,U_181,U_180),U_181)
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_14,plain,
( v24_waybel_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_15,plain,
( v25_waybel_0(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_16,plain,
( v1_lattice3(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_17,plain,
( v2_lattice3(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_18,plain,
( v3_lattice3(k2_yellow_2(U_182,U_181,U_180))
| ~ sP65(U_182,U_181,U_180) ),
inference(clausify,[status(thm)],[f_108_3]) ).
fof(f_109_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_109_2,plain,
! [U_183] :
( ( v1_lattice3(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183)))
& v1_orders_2(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183))) )
| ~ l1_orders_2(U_183)
| ~ v1_lattice3(U_183) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
( ! [U_183] :
( v1_lattice3(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183)))
| ~ sP66(U_183) )
& ! [U_183] :
( v1_orders_2(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183)))
| ~ sP66(U_183) )
& ! [U_183] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183)))
| ~ sP66(U_183) )
& ! [U_183] :
( sP66(U_183)
| ~ l1_orders_2(U_183)
| ~ v1_lattice3(U_183) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP66])],[f_109_2]) ).
cnf(f_109_4,plain,
( sP66(U_183)
| ~ l1_orders_2(U_183)
| ~ v1_lattice3(U_183) ),
inference(clausify,[status(thm)],[f_109_3]) ).
cnf(f_109_5,plain,
( ~ v3_struct_0(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183)))
| ~ sP66(U_183) ),
inference(clausify,[status(thm)],[f_109_3]) ).
cnf(f_109_6,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183)))
| ~ sP66(U_183) ),
inference(clausify,[status(thm)],[f_109_3]) ).
cnf(f_109_7,plain,
( v1_lattice3(g1_orders_2(u1_struct_0(U_183),u1_orders_2(U_183)))
| ~ sP66(U_183) ),
inference(clausify,[status(thm)],[f_109_3]) ).
fof(f_110_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_110_2,plain,
! [U_187,U_186] :
( ! [U_185,U_184] :
( ( U_186 = U_184
& U_187 = U_185 )
| g1_orders_2(U_187,U_186) != g1_orders_2(U_185,U_184) )
| ~ m1_relset_1(U_186,U_187,U_187) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
( ! [U_186,U_187,U_184,U_185] :
( U_186 = U_184
| ~ sP67(U_186,U_187,U_184,U_185) )
& ! [U_186,U_187,U_184,U_185] :
( U_187 = U_185
| ~ sP67(U_186,U_187,U_184,U_185) )
& ! [U_186,U_187,U_184,U_185] :
( sP67(U_186,U_187,U_184,U_185)
| g1_orders_2(U_187,U_186) != g1_orders_2(U_185,U_184)
| ~ m1_relset_1(U_186,U_187,U_187) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP67])],[f_110_2]) ).
cnf(f_110_4,plain,
( sP67(U_186,U_187,U_184,U_185)
| g1_orders_2(U_187,U_186) != g1_orders_2(U_185,U_184)
| ~ m1_relset_1(U_186,U_187,U_187) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_5,plain,
( U_187 = U_185
| ~ sP67(U_186,U_187,U_184,U_185) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_6,plain,
( U_186 = U_184
| ~ sP67(U_186,U_187,U_184,U_185) ),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_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_111_2,plain,
? [U_188] :
( v25_waybel_0(U_188)
& v24_waybel_0(U_188)
& v3_yellow_0(U_188)
& v2_yellow_0(U_188)
& v1_yellow_0(U_188)
& v3_lattice3(U_188)
& v2_lattice3(U_188)
& v1_lattice3(U_188)
& v4_orders_2(U_188)
& v3_orders_2(U_188)
& v2_orders_2(U_188)
& v1_orders_2(U_188)
& ~ v3_struct_0(U_188)
& l1_orders_2(U_188) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
( v25_waybel_0(sK9)
& v24_waybel_0(sK9)
& v3_yellow_0(sK9)
& v2_yellow_0(sK9)
& v1_yellow_0(sK9)
& v3_lattice3(sK9)
& v2_lattice3(sK9)
& v1_lattice3(sK9)
& v4_orders_2(sK9)
& v3_orders_2(sK9)
& v2_orders_2(sK9)
& v1_orders_2(sK9)
& ~ v3_struct_0(sK9)
& l1_orders_2(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_188,sK9)],[f_111_2]) ).
fof(f_111_4,plain,
( v25_waybel_0(sK9)
& v24_waybel_0(sK9)
& v3_yellow_0(sK9)
& v2_yellow_0(sK9)
& v1_yellow_0(sK9)
& v3_lattice3(sK9)
& v2_lattice3(sK9)
& v1_lattice3(sK9)
& v4_orders_2(sK9)
& v3_orders_2(sK9)
& v2_orders_2(sK9)
& v1_orders_2(sK9)
& ~ v3_struct_0(sK9)
& l1_orders_2(sK9) ),
inference(definitional_conversion,[status(esa)],[f_111_3]) ).
cnf(f_111_5,plain,
l1_orders_2(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_6,plain,
~ v3_struct_0(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_7,plain,
v1_orders_2(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_8,plain,
v2_orders_2(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_9,plain,
v3_orders_2(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_10,plain,
v4_orders_2(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_11,plain,
v1_lattice3(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_12,plain,
v2_lattice3(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_13,plain,
v3_lattice3(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_14,plain,
v1_yellow_0(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_15,plain,
v2_yellow_0(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_16,plain,
v3_yellow_0(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_17,plain,
v24_waybel_0(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_18,plain,
v25_waybel_0(sK9),
inference(clausify,[status(thm)],[f_111_4]) ).
fof(f_112_1,plain,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_finset_1]) ).
fof(f_112_2,plain,
? [U_189] :
( v1_finset_1(U_189)
& ~ v1_xboole_0(U_189) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
( v1_finset_1(sK10)
& ~ v1_xboole_0(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_189,sK10)],[f_112_2]) ).
fof(f_112_4,plain,
( v1_finset_1(sK10)
& ~ v1_xboole_0(sK10) ),
inference(definitional_conversion,[status(esa)],[f_112_3]) ).
cnf(f_112_5,plain,
~ v1_xboole_0(sK10),
inference(clausify,[status(thm)],[f_112_4]) ).
cnf(f_112_6,plain,
v1_finset_1(sK10),
inference(clausify,[status(thm)],[f_112_4]) ).
fof(f_113_1,plain,
? [A] :
( v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_funct_1]) ).
fof(f_113_2,plain,
? [U_190] :
( v1_funct_1(U_190)
& v1_relat_1(U_190) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
( v1_funct_1(sK11)
& v1_relat_1(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_190,sK11)],[f_113_2]) ).
fof(f_113_4,plain,
( v1_funct_1(sK11)
& v1_relat_1(sK11) ),
inference(definitional_conversion,[status(esa)],[f_113_3]) ).
cnf(f_113_5,plain,
v1_relat_1(sK11),
inference(clausify,[status(thm)],[f_113_4]) ).
cnf(f_113_6,plain,
v1_funct_1(sK11),
inference(clausify,[status(thm)],[f_113_4]) ).
fof(f_114_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_114_2,plain,
? [U_191] :
( v3_lattice3(U_191)
& v4_orders_2(U_191)
& v3_orders_2(U_191)
& v2_orders_2(U_191)
& v1_orders_2(U_191)
& ~ v3_struct_0(U_191)
& l1_orders_2(U_191) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
( v3_lattice3(sK12)
& v4_orders_2(sK12)
& v3_orders_2(sK12)
& v2_orders_2(sK12)
& v1_orders_2(sK12)
& ~ v3_struct_0(sK12)
& l1_orders_2(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_191,sK12)],[f_114_2]) ).
fof(f_114_4,plain,
( v3_lattice3(sK12)
& v4_orders_2(sK12)
& v3_orders_2(sK12)
& v2_orders_2(sK12)
& v1_orders_2(sK12)
& ~ v3_struct_0(sK12)
& l1_orders_2(sK12) ),
inference(definitional_conversion,[status(esa)],[f_114_3]) ).
cnf(f_114_5,plain,
l1_orders_2(sK12),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_6,plain,
~ v3_struct_0(sK12),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_7,plain,
v1_orders_2(sK12),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_8,plain,
v2_orders_2(sK12),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_9,plain,
v3_orders_2(sK12),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_10,plain,
v4_orders_2(sK12),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_11,plain,
v3_lattice3(sK12),
inference(clausify,[status(thm)],[f_114_4]) ).
fof(f_115_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_115_2,plain,
! [U_194,U_193] :
( ? [U_192] :
( v20_waybel_0(U_192,U_194,U_193)
& v19_waybel_0(U_192,U_194,U_193)
& v1_funct_2(U_192,u1_struct_0(U_194),u1_struct_0(U_193))
& v1_funct_1(U_192)
& v1_relat_1(U_192)
& m1_relset_1(U_192,u1_struct_0(U_194),u1_struct_0(U_193)) )
| ~ l1_orders_2(U_193)
| ~ v2_lattice3(U_193)
| ~ v1_lattice3(U_193)
| ~ v4_orders_2(U_193)
| ~ v3_orders_2(U_193)
| ~ v2_orders_2(U_193)
| ~ l1_orders_2(U_194)
| ~ v2_lattice3(U_194)
| ~ v1_lattice3(U_194)
| ~ v4_orders_2(U_194)
| ~ v3_orders_2(U_194)
| ~ v2_orders_2(U_194) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
! [U_194,U_193] :
( ( v20_waybel_0(sK13(U_194,U_193),U_194,U_193)
& v19_waybel_0(sK13(U_194,U_193),U_194,U_193)
& v1_funct_2(sK13(U_194,U_193),u1_struct_0(U_194),u1_struct_0(U_193))
& v1_funct_1(sK13(U_194,U_193))
& v1_relat_1(sK13(U_194,U_193))
& m1_relset_1(sK13(U_194,U_193),u1_struct_0(U_194),u1_struct_0(U_193)) )
| ~ l1_orders_2(U_193)
| ~ v2_lattice3(U_193)
| ~ v1_lattice3(U_193)
| ~ v4_orders_2(U_193)
| ~ v3_orders_2(U_193)
| ~ v2_orders_2(U_193)
| ~ l1_orders_2(U_194)
| ~ v2_lattice3(U_194)
| ~ v1_lattice3(U_194)
| ~ v4_orders_2(U_194)
| ~ v3_orders_2(U_194)
| ~ v2_orders_2(U_194) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_192,sK13(U_194,U_193))],[f_115_2]) ).
fof(f_115_4,plain,
( ! [U_193,U_194] :
( v20_waybel_0(sK13(U_194,U_193),U_194,U_193)
| ~ sP68(U_193,U_194) )
& ! [U_193,U_194] :
( v19_waybel_0(sK13(U_194,U_193),U_194,U_193)
| ~ sP68(U_193,U_194) )
& ! [U_193,U_194] :
( v1_funct_2(sK13(U_194,U_193),u1_struct_0(U_194),u1_struct_0(U_193))
| ~ sP68(U_193,U_194) )
& ! [U_193,U_194] :
( v1_funct_1(sK13(U_194,U_193))
| ~ sP68(U_193,U_194) )
& ! [U_193,U_194] :
( v1_relat_1(sK13(U_194,U_193))
| ~ sP68(U_193,U_194) )
& ! [U_193,U_194] :
( m1_relset_1(sK13(U_194,U_193),u1_struct_0(U_194),u1_struct_0(U_193))
| ~ sP68(U_193,U_194) )
& ! [U_193,U_194] :
( sP68(U_193,U_194)
| ~ l1_orders_2(U_193)
| ~ v2_lattice3(U_193)
| ~ v1_lattice3(U_193)
| ~ v4_orders_2(U_193)
| ~ v3_orders_2(U_193)
| ~ v2_orders_2(U_193)
| ~ l1_orders_2(U_194)
| ~ v2_lattice3(U_194)
| ~ v1_lattice3(U_194)
| ~ v4_orders_2(U_194)
| ~ v3_orders_2(U_194)
| ~ v2_orders_2(U_194) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP68])],[f_115_3]) ).
cnf(f_115_5,plain,
( sP68(U_193,U_194)
| ~ l1_orders_2(U_193)
| ~ v2_lattice3(U_193)
| ~ v1_lattice3(U_193)
| ~ v4_orders_2(U_193)
| ~ v3_orders_2(U_193)
| ~ v2_orders_2(U_193)
| ~ l1_orders_2(U_194)
| ~ v2_lattice3(U_194)
| ~ v1_lattice3(U_194)
| ~ v4_orders_2(U_194)
| ~ v3_orders_2(U_194)
| ~ v2_orders_2(U_194) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_6,plain,
( m1_relset_1(sK13(U_194,U_193),u1_struct_0(U_194),u1_struct_0(U_193))
| ~ sP68(U_193,U_194) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_7,plain,
( v1_relat_1(sK13(U_194,U_193))
| ~ sP68(U_193,U_194) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_8,plain,
( v1_funct_1(sK13(U_194,U_193))
| ~ sP68(U_193,U_194) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_9,plain,
( v1_funct_2(sK13(U_194,U_193),u1_struct_0(U_194),u1_struct_0(U_193))
| ~ sP68(U_193,U_194) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_10,plain,
( v19_waybel_0(sK13(U_194,U_193),U_194,U_193)
| ~ sP68(U_193,U_194) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_11,plain,
( v20_waybel_0(sK13(U_194,U_193),U_194,U_193)
| ~ sP68(U_193,U_194) ),
inference(clausify,[status(thm)],[f_115_4]) ).
fof(f_116_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_116_2,plain,
? [U_195] :
( v5_membered(U_195)
& v4_membered(U_195)
& v3_membered(U_195)
& v2_membered(U_195)
& v1_membered(U_195)
& ~ v1_xboole_0(U_195) ),
inference(variable_rename,[status(thm)],[f_116_1]) ).
fof(f_116_3,plain,
( v5_membered(sK14)
& v4_membered(sK14)
& v3_membered(sK14)
& v2_membered(sK14)
& v1_membered(sK14)
& ~ v1_xboole_0(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_195,sK14)],[f_116_2]) ).
fof(f_116_4,plain,
( v5_membered(sK14)
& v4_membered(sK14)
& v3_membered(sK14)
& v2_membered(sK14)
& v1_membered(sK14)
& ~ v1_xboole_0(sK14) ),
inference(definitional_conversion,[status(esa)],[f_116_3]) ).
cnf(f_116_5,plain,
~ v1_xboole_0(sK14),
inference(clausify,[status(thm)],[f_116_4]) ).
cnf(f_116_6,plain,
v1_membered(sK14),
inference(clausify,[status(thm)],[f_116_4]) ).
cnf(f_116_7,plain,
v2_membered(sK14),
inference(clausify,[status(thm)],[f_116_4]) ).
cnf(f_116_8,plain,
v3_membered(sK14),
inference(clausify,[status(thm)],[f_116_4]) ).
cnf(f_116_9,plain,
v4_membered(sK14),
inference(clausify,[status(thm)],[f_116_4]) ).
cnf(f_116_10,plain,
v5_membered(sK14),
inference(clausify,[status(thm)],[f_116_4]) ).
fof(f_117_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_117_2,plain,
! [U_198,U_197] :
( ? [U_196] :
( v5_orders_3(U_196,U_198,U_197)
& v1_partfun1(U_196,u1_struct_0(U_198),u1_struct_0(U_197))
& v1_funct_2(U_196,u1_struct_0(U_198),u1_struct_0(U_197))
& v1_funct_1(U_196)
& v1_relat_1(U_196)
& m1_relset_1(U_196,u1_struct_0(U_198),u1_struct_0(U_197)) )
| ~ l1_orders_2(U_197)
| ~ v2_orders_2(U_197)
| v3_struct_0(U_197)
| ~ l1_orders_2(U_198) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
! [U_198,U_197] :
( ( v5_orders_3(sK15(U_198,U_197),U_198,U_197)
& v1_partfun1(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197))
& v1_funct_2(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197))
& v1_funct_1(sK15(U_198,U_197))
& v1_relat_1(sK15(U_198,U_197))
& m1_relset_1(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197)) )
| ~ l1_orders_2(U_197)
| ~ v2_orders_2(U_197)
| v3_struct_0(U_197)
| ~ l1_orders_2(U_198) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_196,sK15(U_198,U_197))],[f_117_2]) ).
fof(f_117_4,plain,
( ! [U_198,U_197] :
( v5_orders_3(sK15(U_198,U_197),U_198,U_197)
| ~ sP69(U_198,U_197) )
& ! [U_198,U_197] :
( v1_partfun1(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197))
| ~ sP69(U_198,U_197) )
& ! [U_198,U_197] :
( v1_funct_2(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197))
| ~ sP69(U_198,U_197) )
& ! [U_198,U_197] :
( v1_funct_1(sK15(U_198,U_197))
| ~ sP69(U_198,U_197) )
& ! [U_198,U_197] :
( v1_relat_1(sK15(U_198,U_197))
| ~ sP69(U_198,U_197) )
& ! [U_198,U_197] :
( m1_relset_1(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197))
| ~ sP69(U_198,U_197) )
& ! [U_198,U_197] :
( sP69(U_198,U_197)
| ~ l1_orders_2(U_197)
| ~ v2_orders_2(U_197)
| v3_struct_0(U_197)
| ~ l1_orders_2(U_198) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP69])],[f_117_3]) ).
cnf(f_117_5,plain,
( sP69(U_198,U_197)
| ~ l1_orders_2(U_197)
| ~ v2_orders_2(U_197)
| v3_struct_0(U_197)
| ~ l1_orders_2(U_198) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_6,plain,
( m1_relset_1(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197))
| ~ sP69(U_198,U_197) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_7,plain,
( v1_relat_1(sK15(U_198,U_197))
| ~ sP69(U_198,U_197) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_8,plain,
( v1_funct_1(sK15(U_198,U_197))
| ~ sP69(U_198,U_197) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_9,plain,
( v1_funct_2(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197))
| ~ sP69(U_198,U_197) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_10,plain,
( v1_partfun1(sK15(U_198,U_197),u1_struct_0(U_198),u1_struct_0(U_197))
| ~ sP69(U_198,U_197) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_11,plain,
( v5_orders_3(sK15(U_198,U_197),U_198,U_197)
| ~ sP69(U_198,U_197) ),
inference(clausify,[status(thm)],[f_117_4]) ).
fof(f_118_1,plain,
! [A] :
( ? [B] :
( v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v25_waybel_0(B)
& v24_waybel_0(B)
& v4_waybel_0(B,A)
& v3_waybel_0(B,A)
& v7_yellow_0(B,A)
& v5_yellow_0(B,A)
& v4_yellow_0(B,A)
& v3_yellow_0(B)
& v2_yellow_0(B)
& v1_yellow_0(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& m1_yellow_0(B,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)],[rc1_waybel21]) ).
fof(f_118_2,plain,
! [U_200] :
( ? [U_199] :
( v3_lattice3(U_199)
& v2_lattice3(U_199)
& v1_lattice3(U_199)
& v25_waybel_0(U_199)
& v24_waybel_0(U_199)
& v4_waybel_0(U_199,U_200)
& v3_waybel_0(U_199,U_200)
& v7_yellow_0(U_199,U_200)
& v5_yellow_0(U_199,U_200)
& v4_yellow_0(U_199,U_200)
& v3_yellow_0(U_199)
& v2_yellow_0(U_199)
& v1_yellow_0(U_199)
& v4_orders_2(U_199)
& v3_orders_2(U_199)
& v2_orders_2(U_199)
& ~ v3_struct_0(U_199)
& m1_yellow_0(U_199,U_200) )
| ~ l1_orders_2(U_200)
| ~ v3_lattice3(U_200)
| ~ v2_lattice3(U_200)
| ~ v1_lattice3(U_200)
| ~ v4_orders_2(U_200)
| ~ v3_orders_2(U_200)
| ~ v2_orders_2(U_200) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
! [U_200] :
( ( v3_lattice3(sK16(U_200))
& v2_lattice3(sK16(U_200))
& v1_lattice3(sK16(U_200))
& v25_waybel_0(sK16(U_200))
& v24_waybel_0(sK16(U_200))
& v4_waybel_0(sK16(U_200),U_200)
& v3_waybel_0(sK16(U_200),U_200)
& v7_yellow_0(sK16(U_200),U_200)
& v5_yellow_0(sK16(U_200),U_200)
& v4_yellow_0(sK16(U_200),U_200)
& v3_yellow_0(sK16(U_200))
& v2_yellow_0(sK16(U_200))
& v1_yellow_0(sK16(U_200))
& v4_orders_2(sK16(U_200))
& v3_orders_2(sK16(U_200))
& v2_orders_2(sK16(U_200))
& ~ v3_struct_0(sK16(U_200))
& m1_yellow_0(sK16(U_200),U_200) )
| ~ l1_orders_2(U_200)
| ~ v3_lattice3(U_200)
| ~ v2_lattice3(U_200)
| ~ v1_lattice3(U_200)
| ~ v4_orders_2(U_200)
| ~ v3_orders_2(U_200)
| ~ v2_orders_2(U_200) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_199,sK16(U_200))],[f_118_2]) ).
fof(f_118_4,plain,
( ! [U_200] :
( v3_lattice3(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v2_lattice3(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v1_lattice3(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v25_waybel_0(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v24_waybel_0(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v4_waybel_0(sK16(U_200),U_200)
| ~ sP70(U_200) )
& ! [U_200] :
( v3_waybel_0(sK16(U_200),U_200)
| ~ sP70(U_200) )
& ! [U_200] :
( v7_yellow_0(sK16(U_200),U_200)
| ~ sP70(U_200) )
& ! [U_200] :
( v5_yellow_0(sK16(U_200),U_200)
| ~ sP70(U_200) )
& ! [U_200] :
( v4_yellow_0(sK16(U_200),U_200)
| ~ sP70(U_200) )
& ! [U_200] :
( v3_yellow_0(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v2_yellow_0(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v1_yellow_0(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v4_orders_2(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v3_orders_2(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( v2_orders_2(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( ~ v3_struct_0(sK16(U_200))
| ~ sP70(U_200) )
& ! [U_200] :
( m1_yellow_0(sK16(U_200),U_200)
| ~ sP70(U_200) )
& ! [U_200] :
( sP70(U_200)
| ~ l1_orders_2(U_200)
| ~ v3_lattice3(U_200)
| ~ v2_lattice3(U_200)
| ~ v1_lattice3(U_200)
| ~ v4_orders_2(U_200)
| ~ v3_orders_2(U_200)
| ~ v2_orders_2(U_200) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP70])],[f_118_3]) ).
cnf(f_118_5,plain,
( sP70(U_200)
| ~ l1_orders_2(U_200)
| ~ v3_lattice3(U_200)
| ~ v2_lattice3(U_200)
| ~ v1_lattice3(U_200)
| ~ v4_orders_2(U_200)
| ~ v3_orders_2(U_200)
| ~ v2_orders_2(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_6,plain,
( m1_yellow_0(sK16(U_200),U_200)
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_7,plain,
( ~ v3_struct_0(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_8,plain,
( v2_orders_2(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_9,plain,
( v3_orders_2(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_10,plain,
( v4_orders_2(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_11,plain,
( v1_yellow_0(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_12,plain,
( v2_yellow_0(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_13,plain,
( v3_yellow_0(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_14,plain,
( v4_yellow_0(sK16(U_200),U_200)
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_15,plain,
( v5_yellow_0(sK16(U_200),U_200)
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_16,plain,
( v7_yellow_0(sK16(U_200),U_200)
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_17,plain,
( v3_waybel_0(sK16(U_200),U_200)
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_18,plain,
( v4_waybel_0(sK16(U_200),U_200)
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_19,plain,
( v24_waybel_0(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_20,plain,
( v25_waybel_0(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_21,plain,
( v1_lattice3(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_22,plain,
( v2_lattice3(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_23,plain,
( v3_lattice3(sK16(U_200))
| ~ sP70(U_200) ),
inference(clausify,[status(thm)],[f_118_4]) ).
fof(f_119_1,plain,
! [A] :
( ? [B] :
( v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_waybel_1]) ).
fof(f_119_2,plain,
! [U_202] :
( ? [U_201] :
( v6_waybel_1(U_201,U_202)
& v1_partfun1(U_201,u1_struct_0(U_202),u1_struct_0(U_202))
& v1_funct_2(U_201,u1_struct_0(U_202),u1_struct_0(U_202))
& ~ v1_xboole_0(U_201)
& v1_funct_1(U_201)
& v1_relat_1(U_201)
& m1_relset_1(U_201,u1_struct_0(U_202),u1_struct_0(U_202)) )
| ~ l1_orders_2(U_202)
| v3_struct_0(U_202) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
! [U_202] :
( ( v6_waybel_1(sK17(U_202),U_202)
& v1_partfun1(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202))
& v1_funct_2(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202))
& ~ v1_xboole_0(sK17(U_202))
& v1_funct_1(sK17(U_202))
& v1_relat_1(sK17(U_202))
& m1_relset_1(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202)) )
| ~ l1_orders_2(U_202)
| v3_struct_0(U_202) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_201,sK17(U_202))],[f_119_2]) ).
fof(f_119_4,plain,
( ! [U_202] :
( v6_waybel_1(sK17(U_202),U_202)
| ~ sP71(U_202) )
& ! [U_202] :
( v1_partfun1(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202))
| ~ sP71(U_202) )
& ! [U_202] :
( v1_funct_2(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202))
| ~ sP71(U_202) )
& ! [U_202] :
( ~ v1_xboole_0(sK17(U_202))
| ~ sP71(U_202) )
& ! [U_202] :
( v1_funct_1(sK17(U_202))
| ~ sP71(U_202) )
& ! [U_202] :
( v1_relat_1(sK17(U_202))
| ~ sP71(U_202) )
& ! [U_202] :
( m1_relset_1(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202))
| ~ sP71(U_202) )
& ! [U_202] :
( sP71(U_202)
| ~ l1_orders_2(U_202)
| v3_struct_0(U_202) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP71])],[f_119_3]) ).
cnf(f_119_5,plain,
( sP71(U_202)
| ~ l1_orders_2(U_202)
| v3_struct_0(U_202) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_6,plain,
( m1_relset_1(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202))
| ~ sP71(U_202) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_7,plain,
( v1_relat_1(sK17(U_202))
| ~ sP71(U_202) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_8,plain,
( v1_funct_1(sK17(U_202))
| ~ sP71(U_202) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_9,plain,
( ~ v1_xboole_0(sK17(U_202))
| ~ sP71(U_202) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_10,plain,
( v1_funct_2(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202))
| ~ sP71(U_202) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_11,plain,
( v1_partfun1(sK17(U_202),u1_struct_0(U_202),u1_struct_0(U_202))
| ~ sP71(U_202) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_12,plain,
( v6_waybel_1(sK17(U_202),U_202)
| ~ sP71(U_202) ),
inference(clausify,[status(thm)],[f_119_4]) ).
fof(f_120_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_120_2,plain,
? [U_203] :
( v1_funct_1(U_203)
& v1_xboole_0(U_203)
& v1_relat_1(U_203) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
( v1_funct_1(sK18)
& v1_xboole_0(sK18)
& v1_relat_1(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_203,sK18)],[f_120_2]) ).
fof(f_120_4,plain,
( v1_funct_1(sK18)
& v1_xboole_0(sK18)
& v1_relat_1(sK18) ),
inference(definitional_conversion,[status(esa)],[f_120_3]) ).
cnf(f_120_5,plain,
v1_relat_1(sK18),
inference(clausify,[status(thm)],[f_120_4]) ).
cnf(f_120_6,plain,
v1_xboole_0(sK18),
inference(clausify,[status(thm)],[f_120_4]) ).
cnf(f_120_7,plain,
v1_funct_1(sK18),
inference(clausify,[status(thm)],[f_120_4]) ).
fof(f_121_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_121_2,plain,
? [U_204] :
( v3_lattice3(U_204)
& v2_lattice3(U_204)
& v1_lattice3(U_204)
& v4_orders_2(U_204)
& v3_orders_2(U_204)
& v2_orders_2(U_204)
& v1_orders_2(U_204)
& ~ v3_struct_0(U_204)
& l1_orders_2(U_204) ),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
( v3_lattice3(sK19)
& v2_lattice3(sK19)
& v1_lattice3(sK19)
& v4_orders_2(sK19)
& v3_orders_2(sK19)
& v2_orders_2(sK19)
& v1_orders_2(sK19)
& ~ v3_struct_0(sK19)
& l1_orders_2(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_204,sK19)],[f_121_2]) ).
fof(f_121_4,plain,
( v3_lattice3(sK19)
& v2_lattice3(sK19)
& v1_lattice3(sK19)
& v4_orders_2(sK19)
& v3_orders_2(sK19)
& v2_orders_2(sK19)
& v1_orders_2(sK19)
& ~ v3_struct_0(sK19)
& l1_orders_2(sK19) ),
inference(definitional_conversion,[status(esa)],[f_121_3]) ).
cnf(f_121_5,plain,
l1_orders_2(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_6,plain,
~ v3_struct_0(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_7,plain,
v1_orders_2(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_8,plain,
v2_orders_2(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_9,plain,
v3_orders_2(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_10,plain,
v4_orders_2(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_11,plain,
v1_lattice3(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_12,plain,
v2_lattice3(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_13,plain,
v3_lattice3(sK19),
inference(clausify,[status(thm)],[f_121_4]) ).
fof(f_122_1,plain,
! [A] :
( ? [B] :
( v8_waybel_1(B,A)
& v7_waybel_1(B,A)
& v6_waybel_1(B,A)
& v22_waybel_0(B,A,A)
& v21_waybel_0(B,A,A)
& v20_waybel_0(B,A,A)
& v19_waybel_0(B,A,A)
& v18_waybel_0(B,A,A)
& v17_waybel_0(B,A,A)
& v5_orders_3(B,A,A)
& v11_quantal1(B)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v2_funct_1(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc2_waybel10]) ).
fof(f_122_2,plain,
! [U_206] :
( ? [U_205] :
( v8_waybel_1(U_205,U_206)
& v7_waybel_1(U_205,U_206)
& v6_waybel_1(U_205,U_206)
& v22_waybel_0(U_205,U_206,U_206)
& v21_waybel_0(U_205,U_206,U_206)
& v20_waybel_0(U_205,U_206,U_206)
& v19_waybel_0(U_205,U_206,U_206)
& v18_waybel_0(U_205,U_206,U_206)
& v17_waybel_0(U_205,U_206,U_206)
& v5_orders_3(U_205,U_206,U_206)
& v11_quantal1(U_205)
& v1_partfun1(U_205,u1_struct_0(U_206),u1_struct_0(U_206))
& v1_funct_2(U_205,u1_struct_0(U_206),u1_struct_0(U_206))
& ~ v1_xboole_0(U_205)
& v2_funct_1(U_205)
& v1_funct_1(U_205)
& v1_relat_1(U_205)
& m1_relset_1(U_205,u1_struct_0(U_206),u1_struct_0(U_206)) )
| ~ l1_orders_2(U_206)
| ~ v2_orders_2(U_206)
| v3_struct_0(U_206) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
! [U_206] :
( ( v8_waybel_1(sK20(U_206),U_206)
& v7_waybel_1(sK20(U_206),U_206)
& v6_waybel_1(sK20(U_206),U_206)
& v22_waybel_0(sK20(U_206),U_206,U_206)
& v21_waybel_0(sK20(U_206),U_206,U_206)
& v20_waybel_0(sK20(U_206),U_206,U_206)
& v19_waybel_0(sK20(U_206),U_206,U_206)
& v18_waybel_0(sK20(U_206),U_206,U_206)
& v17_waybel_0(sK20(U_206),U_206,U_206)
& v5_orders_3(sK20(U_206),U_206,U_206)
& v11_quantal1(sK20(U_206))
& v1_partfun1(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206))
& v1_funct_2(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206))
& ~ v1_xboole_0(sK20(U_206))
& v2_funct_1(sK20(U_206))
& v1_funct_1(sK20(U_206))
& v1_relat_1(sK20(U_206))
& m1_relset_1(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206)) )
| ~ l1_orders_2(U_206)
| ~ v2_orders_2(U_206)
| v3_struct_0(U_206) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_205,sK20(U_206))],[f_122_2]) ).
fof(f_122_4,plain,
( ! [U_206] :
( v8_waybel_1(sK20(U_206),U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v7_waybel_1(sK20(U_206),U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v6_waybel_1(sK20(U_206),U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v22_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v21_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v20_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v19_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v18_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v17_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v5_orders_3(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) )
& ! [U_206] :
( v11_quantal1(sK20(U_206))
| ~ sP72(U_206) )
& ! [U_206] :
( v1_partfun1(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206))
| ~ sP72(U_206) )
& ! [U_206] :
( v1_funct_2(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206))
| ~ sP72(U_206) )
& ! [U_206] :
( ~ v1_xboole_0(sK20(U_206))
| ~ sP72(U_206) )
& ! [U_206] :
( v2_funct_1(sK20(U_206))
| ~ sP72(U_206) )
& ! [U_206] :
( v1_funct_1(sK20(U_206))
| ~ sP72(U_206) )
& ! [U_206] :
( v1_relat_1(sK20(U_206))
| ~ sP72(U_206) )
& ! [U_206] :
( m1_relset_1(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206))
| ~ sP72(U_206) )
& ! [U_206] :
( sP72(U_206)
| ~ l1_orders_2(U_206)
| ~ v2_orders_2(U_206)
| v3_struct_0(U_206) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP72])],[f_122_3]) ).
cnf(f_122_5,plain,
( sP72(U_206)
| ~ l1_orders_2(U_206)
| ~ v2_orders_2(U_206)
| v3_struct_0(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_6,plain,
( m1_relset_1(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206))
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_7,plain,
( v1_relat_1(sK20(U_206))
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_8,plain,
( v1_funct_1(sK20(U_206))
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_9,plain,
( v2_funct_1(sK20(U_206))
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_10,plain,
( ~ v1_xboole_0(sK20(U_206))
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_11,plain,
( v1_funct_2(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206))
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_12,plain,
( v1_partfun1(sK20(U_206),u1_struct_0(U_206),u1_struct_0(U_206))
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_13,plain,
( v11_quantal1(sK20(U_206))
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_14,plain,
( v5_orders_3(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_15,plain,
( v17_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_16,plain,
( v18_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_17,plain,
( v19_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_18,plain,
( v20_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_19,plain,
( v21_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_20,plain,
( v22_waybel_0(sK20(U_206),U_206,U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_21,plain,
( v6_waybel_1(sK20(U_206),U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_22,plain,
( v7_waybel_1(sK20(U_206),U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_23,plain,
( v8_waybel_1(sK20(U_206),U_206)
| ~ sP72(U_206) ),
inference(clausify,[status(thm)],[f_122_4]) ).
fof(f_123_1,plain,
! [A] :
( ? [B] :
( v7_waybel_1(B,A)
& v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc2_waybel_1]) ).
fof(f_123_2,plain,
! [U_208] :
( ? [U_207] :
( v7_waybel_1(U_207,U_208)
& v6_waybel_1(U_207,U_208)
& v1_partfun1(U_207,u1_struct_0(U_208),u1_struct_0(U_208))
& v1_funct_2(U_207,u1_struct_0(U_208),u1_struct_0(U_208))
& ~ v1_xboole_0(U_207)
& v1_funct_1(U_207)
& v1_relat_1(U_207)
& m1_relset_1(U_207,u1_struct_0(U_208),u1_struct_0(U_208)) )
| ~ l1_orders_2(U_208)
| ~ v2_orders_2(U_208)
| v3_struct_0(U_208) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
! [U_208] :
( ( v7_waybel_1(sK21(U_208),U_208)
& v6_waybel_1(sK21(U_208),U_208)
& v1_partfun1(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208))
& v1_funct_2(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208))
& ~ v1_xboole_0(sK21(U_208))
& v1_funct_1(sK21(U_208))
& v1_relat_1(sK21(U_208))
& m1_relset_1(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208)) )
| ~ l1_orders_2(U_208)
| ~ v2_orders_2(U_208)
| v3_struct_0(U_208) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_207,sK21(U_208))],[f_123_2]) ).
fof(f_123_4,plain,
( ! [U_208] :
( v7_waybel_1(sK21(U_208),U_208)
| ~ sP73(U_208) )
& ! [U_208] :
( v6_waybel_1(sK21(U_208),U_208)
| ~ sP73(U_208) )
& ! [U_208] :
( v1_partfun1(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208))
| ~ sP73(U_208) )
& ! [U_208] :
( v1_funct_2(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208))
| ~ sP73(U_208) )
& ! [U_208] :
( ~ v1_xboole_0(sK21(U_208))
| ~ sP73(U_208) )
& ! [U_208] :
( v1_funct_1(sK21(U_208))
| ~ sP73(U_208) )
& ! [U_208] :
( v1_relat_1(sK21(U_208))
| ~ sP73(U_208) )
& ! [U_208] :
( m1_relset_1(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208))
| ~ sP73(U_208) )
& ! [U_208] :
( sP73(U_208)
| ~ l1_orders_2(U_208)
| ~ v2_orders_2(U_208)
| v3_struct_0(U_208) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP73])],[f_123_3]) ).
cnf(f_123_5,plain,
( sP73(U_208)
| ~ l1_orders_2(U_208)
| ~ v2_orders_2(U_208)
| v3_struct_0(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_6,plain,
( m1_relset_1(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208))
| ~ sP73(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_7,plain,
( v1_relat_1(sK21(U_208))
| ~ sP73(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_8,plain,
( v1_funct_1(sK21(U_208))
| ~ sP73(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_9,plain,
( ~ v1_xboole_0(sK21(U_208))
| ~ sP73(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_10,plain,
( v1_funct_2(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208))
| ~ sP73(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_11,plain,
( v1_partfun1(sK21(U_208),u1_struct_0(U_208),u1_struct_0(U_208))
| ~ sP73(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_12,plain,
( v6_waybel_1(sK21(U_208),U_208)
| ~ sP73(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_13,plain,
( v7_waybel_1(sK21(U_208),U_208)
| ~ sP73(U_208) ),
inference(clausify,[status(thm)],[f_123_4]) ).
fof(f_124_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_124_2,plain,
? [U_209] :
( v3_waybel_3(U_209)
& v2_waybel_3(U_209)
& v25_waybel_0(U_209)
& v24_waybel_0(U_209)
& v3_yellow_0(U_209)
& v2_yellow_0(U_209)
& v1_yellow_0(U_209)
& v3_lattice3(U_209)
& v2_lattice3(U_209)
& v1_lattice3(U_209)
& v4_orders_2(U_209)
& v3_orders_2(U_209)
& v2_orders_2(U_209)
& v1_orders_2(U_209)
& ~ v3_struct_0(U_209)
& l1_orders_2(U_209) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
( v3_waybel_3(sK22)
& v2_waybel_3(sK22)
& v25_waybel_0(sK22)
& v24_waybel_0(sK22)
& v3_yellow_0(sK22)
& v2_yellow_0(sK22)
& v1_yellow_0(sK22)
& v3_lattice3(sK22)
& v2_lattice3(sK22)
& v1_lattice3(sK22)
& v4_orders_2(sK22)
& v3_orders_2(sK22)
& v2_orders_2(sK22)
& v1_orders_2(sK22)
& ~ v3_struct_0(sK22)
& l1_orders_2(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_209,sK22)],[f_124_2]) ).
fof(f_124_4,plain,
( v3_waybel_3(sK22)
& v2_waybel_3(sK22)
& v25_waybel_0(sK22)
& v24_waybel_0(sK22)
& v3_yellow_0(sK22)
& v2_yellow_0(sK22)
& v1_yellow_0(sK22)
& v3_lattice3(sK22)
& v2_lattice3(sK22)
& v1_lattice3(sK22)
& v4_orders_2(sK22)
& v3_orders_2(sK22)
& v2_orders_2(sK22)
& v1_orders_2(sK22)
& ~ v3_struct_0(sK22)
& l1_orders_2(sK22) ),
inference(definitional_conversion,[status(esa)],[f_124_3]) ).
cnf(f_124_5,plain,
l1_orders_2(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_6,plain,
~ v3_struct_0(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_7,plain,
v1_orders_2(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_8,plain,
v2_orders_2(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_9,plain,
v3_orders_2(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_10,plain,
v4_orders_2(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_11,plain,
v1_lattice3(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_12,plain,
v2_lattice3(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_13,plain,
v3_lattice3(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_14,plain,
v1_yellow_0(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_15,plain,
v2_yellow_0(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_16,plain,
v3_yellow_0(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_17,plain,
v24_waybel_0(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_18,plain,
v25_waybel_0(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_19,plain,
v2_waybel_3(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_20,plain,
v3_waybel_3(sK22),
inference(clausify,[status(thm)],[f_124_4]) ).
fof(f_125_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_125_2,plain,
? [U_210] :
( v3_yellow_0(U_210)
& v2_yellow_0(U_210)
& v1_yellow_0(U_210)
& v3_lattice3(U_210)
& v2_lattice3(U_210)
& v1_lattice3(U_210)
& v4_orders_2(U_210)
& v3_orders_2(U_210)
& v2_orders_2(U_210)
& ~ v3_struct_0(U_210)
& l1_orders_2(U_210) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
( v3_yellow_0(sK23)
& v2_yellow_0(sK23)
& v1_yellow_0(sK23)
& v3_lattice3(sK23)
& v2_lattice3(sK23)
& v1_lattice3(sK23)
& v4_orders_2(sK23)
& v3_orders_2(sK23)
& v2_orders_2(sK23)
& ~ v3_struct_0(sK23)
& l1_orders_2(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_210,sK23)],[f_125_2]) ).
fof(f_125_4,plain,
( v3_yellow_0(sK23)
& v2_yellow_0(sK23)
& v1_yellow_0(sK23)
& v3_lattice3(sK23)
& v2_lattice3(sK23)
& v1_lattice3(sK23)
& v4_orders_2(sK23)
& v3_orders_2(sK23)
& v2_orders_2(sK23)
& ~ v3_struct_0(sK23)
& l1_orders_2(sK23) ),
inference(definitional_conversion,[status(esa)],[f_125_3]) ).
cnf(f_125_5,plain,
l1_orders_2(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_6,plain,
~ v3_struct_0(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_7,plain,
v2_orders_2(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_8,plain,
v3_orders_2(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_9,plain,
v4_orders_2(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_10,plain,
v1_lattice3(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_11,plain,
v2_lattice3(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_12,plain,
v3_lattice3(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_13,plain,
v1_yellow_0(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_14,plain,
v2_yellow_0(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_15,plain,
v3_yellow_0(sK23),
inference(clausify,[status(thm)],[f_125_4]) ).
fof(f_126_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_126_2,plain,
! [U_212] :
( ? [U_211] :
( v1_finset_1(U_211)
& ~ v1_xboole_0(U_211)
& m1_subset_1(U_211,k1_zfmisc_1(U_212)) )
| v1_xboole_0(U_212) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
! [U_212] :
( ( v1_finset_1(sK24(U_212))
& ~ v1_xboole_0(sK24(U_212))
& m1_subset_1(sK24(U_212),k1_zfmisc_1(U_212)) )
| v1_xboole_0(U_212) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_211,sK24(U_212))],[f_126_2]) ).
fof(f_126_4,plain,
( ! [U_212] :
( v1_finset_1(sK24(U_212))
| ~ sP74(U_212) )
& ! [U_212] :
( ~ v1_xboole_0(sK24(U_212))
| ~ sP74(U_212) )
& ! [U_212] :
( m1_subset_1(sK24(U_212),k1_zfmisc_1(U_212))
| ~ sP74(U_212) )
& ! [U_212] :
( sP74(U_212)
| v1_xboole_0(U_212) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP74])],[f_126_3]) ).
cnf(f_126_5,plain,
( sP74(U_212)
| v1_xboole_0(U_212) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_6,plain,
( m1_subset_1(sK24(U_212),k1_zfmisc_1(U_212))
| ~ sP74(U_212) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_7,plain,
( ~ v1_xboole_0(sK24(U_212))
| ~ sP74(U_212) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_8,plain,
( v1_finset_1(sK24(U_212))
| ~ sP74(U_212) ),
inference(clausify,[status(thm)],[f_126_4]) ).
fof(f_127_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_127_2,plain,
? [U_213] :
( v2_funct_1(U_213)
& v1_funct_1(U_213)
& v1_relat_1(U_213) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
( v2_funct_1(sK25)
& v1_funct_1(sK25)
& v1_relat_1(sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_213,sK25)],[f_127_2]) ).
fof(f_127_4,plain,
( v2_funct_1(sK25)
& v1_funct_1(sK25)
& v1_relat_1(sK25) ),
inference(definitional_conversion,[status(esa)],[f_127_3]) ).
cnf(f_127_5,plain,
v1_relat_1(sK25),
inference(clausify,[status(thm)],[f_127_4]) ).
cnf(f_127_6,plain,
v1_funct_1(sK25),
inference(clausify,[status(thm)],[f_127_4]) ).
cnf(f_127_7,plain,
v2_funct_1(sK25),
inference(clausify,[status(thm)],[f_127_4]) ).
fof(f_128_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_128_2,plain,
? [U_214] :
( ~ v3_struct_0(U_214)
& l1_struct_0(U_214) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
fof(f_128_3,plain,
( ~ v3_struct_0(sK26)
& l1_struct_0(sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_214,sK26)],[f_128_2]) ).
fof(f_128_4,plain,
( ~ v3_struct_0(sK26)
& l1_struct_0(sK26) ),
inference(definitional_conversion,[status(esa)],[f_128_3]) ).
cnf(f_128_5,plain,
l1_struct_0(sK26),
inference(clausify,[status(thm)],[f_128_4]) ).
cnf(f_128_6,plain,
~ v3_struct_0(sK26),
inference(clausify,[status(thm)],[f_128_4]) ).
fof(f_129_1,plain,
! [A] :
( ? [B] :
( v8_waybel_1(B,A)
& v6_waybel_1(B,A)
& v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& ~ v1_xboole_0(B)
& v1_funct_1(B)
& v1_relat_1(B)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_waybel_1]) ).
fof(f_129_2,plain,
! [U_216] :
( ? [U_215] :
( v8_waybel_1(U_215,U_216)
& v6_waybel_1(U_215,U_216)
& v1_partfun1(U_215,u1_struct_0(U_216),u1_struct_0(U_216))
& v1_funct_2(U_215,u1_struct_0(U_216),u1_struct_0(U_216))
& ~ v1_xboole_0(U_215)
& v1_funct_1(U_215)
& v1_relat_1(U_215)
& m1_relset_1(U_215,u1_struct_0(U_216),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_129_1]) ).
fof(f_129_3,plain,
! [U_216] :
( ( v8_waybel_1(sK27(U_216),U_216)
& v6_waybel_1(sK27(U_216),U_216)
& v1_partfun1(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216))
& v1_funct_2(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216))
& ~ v1_xboole_0(sK27(U_216))
& v1_funct_1(sK27(U_216))
& v1_relat_1(sK27(U_216))
& m1_relset_1(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216)) )
| ~ l1_orders_2(U_216)
| ~ v2_orders_2(U_216)
| v3_struct_0(U_216) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_215,sK27(U_216))],[f_129_2]) ).
fof(f_129_4,plain,
( ! [U_216] :
( v8_waybel_1(sK27(U_216),U_216)
| ~ sP75(U_216) )
& ! [U_216] :
( v6_waybel_1(sK27(U_216),U_216)
| ~ sP75(U_216) )
& ! [U_216] :
( v1_partfun1(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216))
| ~ sP75(U_216) )
& ! [U_216] :
( v1_funct_2(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216))
| ~ sP75(U_216) )
& ! [U_216] :
( ~ v1_xboole_0(sK27(U_216))
| ~ sP75(U_216) )
& ! [U_216] :
( v1_funct_1(sK27(U_216))
| ~ sP75(U_216) )
& ! [U_216] :
( v1_relat_1(sK27(U_216))
| ~ sP75(U_216) )
& ! [U_216] :
( m1_relset_1(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216))
| ~ sP75(U_216) )
& ! [U_216] :
( sP75(U_216)
| ~ l1_orders_2(U_216)
| ~ v2_orders_2(U_216)
| v3_struct_0(U_216) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP75])],[f_129_3]) ).
cnf(f_129_5,plain,
( sP75(U_216)
| ~ l1_orders_2(U_216)
| ~ v2_orders_2(U_216)
| v3_struct_0(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_6,plain,
( m1_relset_1(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216))
| ~ sP75(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_7,plain,
( v1_relat_1(sK27(U_216))
| ~ sP75(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_8,plain,
( v1_funct_1(sK27(U_216))
| ~ sP75(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_9,plain,
( ~ v1_xboole_0(sK27(U_216))
| ~ sP75(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_10,plain,
( v1_funct_2(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216))
| ~ sP75(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_11,plain,
( v1_partfun1(sK27(U_216),u1_struct_0(U_216),u1_struct_0(U_216))
| ~ sP75(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_12,plain,
( v6_waybel_1(sK27(U_216),U_216)
| ~ sP75(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_13,plain,
( v8_waybel_1(sK27(U_216),U_216)
| ~ sP75(U_216) ),
inference(clausify,[status(thm)],[f_129_4]) ).
fof(f_130_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_130_2,plain,
! [U_218] :
( ? [U_217] :
( v4_yellow_0(U_217,U_218)
& v1_orders_2(U_217)
& m1_yellow_0(U_217,U_218) )
| ~ l1_orders_2(U_218) ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
! [U_218] :
( ( v4_yellow_0(sK28(U_218),U_218)
& v1_orders_2(sK28(U_218))
& m1_yellow_0(sK28(U_218),U_218) )
| ~ l1_orders_2(U_218) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_217,sK28(U_218))],[f_130_2]) ).
fof(f_130_4,plain,
( ! [U_218] :
( v4_yellow_0(sK28(U_218),U_218)
| ~ sP76(U_218) )
& ! [U_218] :
( v1_orders_2(sK28(U_218))
| ~ sP76(U_218) )
& ! [U_218] :
( m1_yellow_0(sK28(U_218),U_218)
| ~ sP76(U_218) )
& ! [U_218] :
( sP76(U_218)
| ~ l1_orders_2(U_218) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP76])],[f_130_3]) ).
cnf(f_130_5,plain,
( sP76(U_218)
| ~ l1_orders_2(U_218) ),
inference(clausify,[status(thm)],[f_130_4]) ).
cnf(f_130_6,plain,
( m1_yellow_0(sK28(U_218),U_218)
| ~ sP76(U_218) ),
inference(clausify,[status(thm)],[f_130_4]) ).
cnf(f_130_7,plain,
( v1_orders_2(sK28(U_218))
| ~ sP76(U_218) ),
inference(clausify,[status(thm)],[f_130_4]) ).
cnf(f_130_8,plain,
( v4_yellow_0(sK28(U_218),U_218)
| ~ sP76(U_218) ),
inference(clausify,[status(thm)],[f_130_4]) ).
fof(f_131_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_131_2,plain,
! [U_221,U_220] :
( ? [U_219] :
( v1_partfun1(U_219,u1_struct_0(U_221),u1_struct_0(U_220))
& v21_waybel_0(U_219,U_221,U_220)
& v19_waybel_0(U_219,U_221,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_xboole_0(U_219)
& v1_funct_1(U_219)
& v1_relat_1(U_219)
& m1_relset_1(U_219,u1_struct_0(U_221),u1_struct_0(U_220)) )
| ~ l1_orders_2(U_220)
| ~ v2_yellow_0(U_220)
| ~ v4_orders_2(U_220)
| ~ v2_orders_2(U_220)
| v3_struct_0(U_220)
| ~ l1_orders_2(U_221)
| v3_struct_0(U_221) ),
inference(variable_rename,[status(thm)],[f_131_1]) ).
fof(f_131_3,plain,
! [U_221,U_220] :
( ( v1_partfun1(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220))
& v21_waybel_0(sK29(U_221,U_220),U_221,U_220)
& v19_waybel_0(sK29(U_221,U_220),U_221,U_220)
& v17_waybel_0(sK29(U_221,U_220),U_221,U_220)
& v1_funct_2(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220))
& ~ v1_xboole_0(sK29(U_221,U_220))
& v1_funct_1(sK29(U_221,U_220))
& v1_relat_1(sK29(U_221,U_220))
& m1_relset_1(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220)) )
| ~ l1_orders_2(U_220)
| ~ v2_yellow_0(U_220)
| ~ v4_orders_2(U_220)
| ~ v2_orders_2(U_220)
| v3_struct_0(U_220)
| ~ l1_orders_2(U_221)
| v3_struct_0(U_221) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_219,sK29(U_221,U_220))],[f_131_2]) ).
fof(f_131_4,plain,
( ! [U_220,U_221] :
( v1_partfun1(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220))
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( v21_waybel_0(sK29(U_221,U_220),U_221,U_220)
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( v19_waybel_0(sK29(U_221,U_220),U_221,U_220)
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( v17_waybel_0(sK29(U_221,U_220),U_221,U_220)
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( v1_funct_2(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220))
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( ~ v1_xboole_0(sK29(U_221,U_220))
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( v1_funct_1(sK29(U_221,U_220))
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( v1_relat_1(sK29(U_221,U_220))
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( m1_relset_1(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220))
| ~ sP77(U_220,U_221) )
& ! [U_220,U_221] :
( sP77(U_220,U_221)
| ~ l1_orders_2(U_220)
| ~ v2_yellow_0(U_220)
| ~ v4_orders_2(U_220)
| ~ v2_orders_2(U_220)
| v3_struct_0(U_220)
| ~ l1_orders_2(U_221)
| v3_struct_0(U_221) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP77])],[f_131_3]) ).
cnf(f_131_5,plain,
( sP77(U_220,U_221)
| ~ l1_orders_2(U_220)
| ~ v2_yellow_0(U_220)
| ~ v4_orders_2(U_220)
| ~ v2_orders_2(U_220)
| v3_struct_0(U_220)
| ~ l1_orders_2(U_221)
| v3_struct_0(U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_6,plain,
( m1_relset_1(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220))
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_7,plain,
( v1_relat_1(sK29(U_221,U_220))
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_8,plain,
( v1_funct_1(sK29(U_221,U_220))
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_9,plain,
( ~ v1_xboole_0(sK29(U_221,U_220))
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_10,plain,
( v1_funct_2(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220))
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_11,plain,
( v17_waybel_0(sK29(U_221,U_220),U_221,U_220)
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_12,plain,
( v19_waybel_0(sK29(U_221,U_220),U_221,U_220)
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_13,plain,
( v21_waybel_0(sK29(U_221,U_220),U_221,U_220)
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_14,plain,
( v1_partfun1(sK29(U_221,U_220),u1_struct_0(U_221),u1_struct_0(U_220))
| ~ sP77(U_220,U_221) ),
inference(clausify,[status(thm)],[f_131_4]) ).
fof(f_132_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_132_2,plain,
! [U_223] :
( ? [U_222] :
( v1_finset_1(U_222)
& ~ v1_xboole_0(U_222)
& m1_subset_1(U_222,k1_zfmisc_1(U_223)) )
| v1_xboole_0(U_223) ),
inference(variable_rename,[status(thm)],[f_132_1]) ).
fof(f_132_3,plain,
! [U_223] :
( ( v1_finset_1(sK30(U_223))
& ~ v1_xboole_0(sK30(U_223))
& m1_subset_1(sK30(U_223),k1_zfmisc_1(U_223)) )
| v1_xboole_0(U_223) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_222,sK30(U_223))],[f_132_2]) ).
fof(f_132_4,plain,
( ! [U_223] :
( v1_finset_1(sK30(U_223))
| ~ sP78(U_223) )
& ! [U_223] :
( ~ v1_xboole_0(sK30(U_223))
| ~ sP78(U_223) )
& ! [U_223] :
( m1_subset_1(sK30(U_223),k1_zfmisc_1(U_223))
| ~ sP78(U_223) )
& ! [U_223] :
( sP78(U_223)
| v1_xboole_0(U_223) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP78])],[f_132_3]) ).
cnf(f_132_5,plain,
( sP78(U_223)
| v1_xboole_0(U_223) ),
inference(clausify,[status(thm)],[f_132_4]) ).
cnf(f_132_6,plain,
( m1_subset_1(sK30(U_223),k1_zfmisc_1(U_223))
| ~ sP78(U_223) ),
inference(clausify,[status(thm)],[f_132_4]) ).
cnf(f_132_7,plain,
( ~ v1_xboole_0(sK30(U_223))
| ~ sP78(U_223) ),
inference(clausify,[status(thm)],[f_132_4]) ).
cnf(f_132_8,plain,
( v1_finset_1(sK30(U_223))
| ~ sP78(U_223) ),
inference(clausify,[status(thm)],[f_132_4]) ).
fof(f_133_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_133_2,plain,
! [U_225] :
( ? [U_224] :
( v4_yellow_0(U_224,U_225)
& v1_orders_2(U_224)
& ~ v3_struct_0(U_224)
& m1_yellow_0(U_224,U_225) )
| ~ l1_orders_2(U_225)
| v3_struct_0(U_225) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
fof(f_133_3,plain,
! [U_225] :
( ( v4_yellow_0(sK31(U_225),U_225)
& v1_orders_2(sK31(U_225))
& ~ v3_struct_0(sK31(U_225))
& m1_yellow_0(sK31(U_225),U_225) )
| ~ l1_orders_2(U_225)
| v3_struct_0(U_225) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_224,sK31(U_225))],[f_133_2]) ).
fof(f_133_4,plain,
( ! [U_225] :
( v4_yellow_0(sK31(U_225),U_225)
| ~ sP79(U_225) )
& ! [U_225] :
( v1_orders_2(sK31(U_225))
| ~ sP79(U_225) )
& ! [U_225] :
( ~ v3_struct_0(sK31(U_225))
| ~ sP79(U_225) )
& ! [U_225] :
( m1_yellow_0(sK31(U_225),U_225)
| ~ sP79(U_225) )
& ! [U_225] :
( sP79(U_225)
| ~ l1_orders_2(U_225)
| v3_struct_0(U_225) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP79])],[f_133_3]) ).
cnf(f_133_5,plain,
( sP79(U_225)
| ~ l1_orders_2(U_225)
| v3_struct_0(U_225) ),
inference(clausify,[status(thm)],[f_133_4]) ).
cnf(f_133_6,plain,
( m1_yellow_0(sK31(U_225),U_225)
| ~ sP79(U_225) ),
inference(clausify,[status(thm)],[f_133_4]) ).
cnf(f_133_7,plain,
( ~ v3_struct_0(sK31(U_225))
| ~ sP79(U_225) ),
inference(clausify,[status(thm)],[f_133_4]) ).
cnf(f_133_8,plain,
( v1_orders_2(sK31(U_225))
| ~ sP79(U_225) ),
inference(clausify,[status(thm)],[f_133_4]) ).
cnf(f_133_9,plain,
( v4_yellow_0(sK31(U_225),U_225)
| ~ sP79(U_225) ),
inference(clausify,[status(thm)],[f_133_4]) ).
fof(f_134_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_134_2,plain,
! [U_228,U_227] :
( ? [U_226] :
( v1_partfun1(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
& v22_waybel_0(U_226,U_228,U_227)
& v20_waybel_0(U_226,U_228,U_227)
& v18_waybel_0(U_226,U_228,U_227)
& v1_funct_2(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
& ~ v1_xboole_0(U_226)
& v1_funct_1(U_226)
& v1_relat_1(U_226)
& m1_relset_1(U_226,u1_struct_0(U_228),u1_struct_0(U_227)) )
| ~ l1_orders_2(U_227)
| ~ v1_yellow_0(U_227)
| ~ v4_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227)
| ~ l1_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(variable_rename,[status(thm)],[f_134_1]) ).
fof(f_134_3,plain,
! [U_228,U_227] :
( ( v1_partfun1(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227))
& v22_waybel_0(sK32(U_228,U_227),U_228,U_227)
& v20_waybel_0(sK32(U_228,U_227),U_228,U_227)
& v18_waybel_0(sK32(U_228,U_227),U_228,U_227)
& v1_funct_2(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227))
& ~ v1_xboole_0(sK32(U_228,U_227))
& v1_funct_1(sK32(U_228,U_227))
& v1_relat_1(sK32(U_228,U_227))
& m1_relset_1(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227)) )
| ~ l1_orders_2(U_227)
| ~ v1_yellow_0(U_227)
| ~ v4_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227)
| ~ l1_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_226,sK32(U_228,U_227))],[f_134_2]) ).
fof(f_134_4,plain,
( ! [U_227,U_228] :
( v1_partfun1(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227))
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( v22_waybel_0(sK32(U_228,U_227),U_228,U_227)
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( v20_waybel_0(sK32(U_228,U_227),U_228,U_227)
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( v18_waybel_0(sK32(U_228,U_227),U_228,U_227)
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( v1_funct_2(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227))
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( ~ v1_xboole_0(sK32(U_228,U_227))
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( v1_funct_1(sK32(U_228,U_227))
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( v1_relat_1(sK32(U_228,U_227))
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( m1_relset_1(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227))
| ~ sP80(U_227,U_228) )
& ! [U_227,U_228] :
( sP80(U_227,U_228)
| ~ l1_orders_2(U_227)
| ~ v1_yellow_0(U_227)
| ~ v4_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227)
| ~ l1_orders_2(U_228)
| v3_struct_0(U_228) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP80])],[f_134_3]) ).
cnf(f_134_5,plain,
( sP80(U_227,U_228)
| ~ l1_orders_2(U_227)
| ~ v1_yellow_0(U_227)
| ~ v4_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227)
| ~ l1_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_6,plain,
( m1_relset_1(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227))
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_7,plain,
( v1_relat_1(sK32(U_228,U_227))
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_8,plain,
( v1_funct_1(sK32(U_228,U_227))
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_9,plain,
( ~ v1_xboole_0(sK32(U_228,U_227))
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_10,plain,
( v1_funct_2(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227))
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_11,plain,
( v18_waybel_0(sK32(U_228,U_227),U_228,U_227)
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_12,plain,
( v20_waybel_0(sK32(U_228,U_227),U_228,U_227)
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_13,plain,
( v22_waybel_0(sK32(U_228,U_227),U_228,U_227)
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_14,plain,
( v1_partfun1(sK32(U_228,U_227),u1_struct_0(U_228),u1_struct_0(U_227))
| ~ sP80(U_227,U_228) ),
inference(clausify,[status(thm)],[f_134_4]) ).
fof(f_135_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_135_2,plain,
! [U_230] :
( ? [U_229] :
( ~ v1_xboole_0(U_229)
& m1_subset_1(U_229,k1_zfmisc_1(u1_struct_0(U_230))) )
| ~ l1_struct_0(U_230)
| v3_struct_0(U_230) ),
inference(variable_rename,[status(thm)],[f_135_1]) ).
fof(f_135_3,plain,
! [U_230] :
( ( ~ v1_xboole_0(sK33(U_230))
& m1_subset_1(sK33(U_230),k1_zfmisc_1(u1_struct_0(U_230))) )
| ~ l1_struct_0(U_230)
| v3_struct_0(U_230) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_229,sK33(U_230))],[f_135_2]) ).
fof(f_135_4,plain,
( ! [U_230] :
( ~ v1_xboole_0(sK33(U_230))
| ~ sP81(U_230) )
& ! [U_230] :
( m1_subset_1(sK33(U_230),k1_zfmisc_1(u1_struct_0(U_230)))
| ~ sP81(U_230) )
& ! [U_230] :
( sP81(U_230)
| ~ l1_struct_0(U_230)
| v3_struct_0(U_230) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP81])],[f_135_3]) ).
cnf(f_135_5,plain,
( sP81(U_230)
| ~ l1_struct_0(U_230)
| v3_struct_0(U_230) ),
inference(clausify,[status(thm)],[f_135_4]) ).
cnf(f_135_6,plain,
( m1_subset_1(sK33(U_230),k1_zfmisc_1(u1_struct_0(U_230)))
| ~ sP81(U_230) ),
inference(clausify,[status(thm)],[f_135_4]) ).
cnf(f_135_7,plain,
( ~ v1_xboole_0(sK33(U_230))
| ~ sP81(U_230) ),
inference(clausify,[status(thm)],[f_135_4]) ).
fof(f_136_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_136_2,plain,
! [U_233,U_232,U_231] :
( ( m2_relset_1(U_231,U_233,U_232)
| ~ m1_relset_1(U_231,U_233,U_232) )
& ( m1_relset_1(U_231,U_233,U_232)
| ~ m2_relset_1(U_231,U_233,U_232) ) ),
inference(variable_rename,[status(thm)],[f_136_1]) ).
fof(f_136_3,plain,
( ! [U_239,U_237,U_235] :
( m2_relset_1(U_235,U_239,U_237)
| ~ m1_relset_1(U_235,U_239,U_237) )
& ! [U_238,U_236,U_234] :
( m1_relset_1(U_234,U_238,U_236)
| ~ m2_relset_1(U_234,U_238,U_236) ) ),
inference(miniscope,[status(thm)],[f_136_2]) ).
fof(f_136_4,plain,
( ! [U_235,U_237,U_239] :
( m2_relset_1(U_235,U_239,U_237)
| ~ m1_relset_1(U_235,U_239,U_237) )
& ! [U_234,U_236,U_238] :
( m1_relset_1(U_234,U_238,U_236)
| ~ m2_relset_1(U_234,U_238,U_236) ) ),
inference(definitional_conversion,[status(esa)],[f_136_3]) ).
cnf(f_136_5,plain,
( m1_relset_1(U_234,U_238,U_236)
| ~ m2_relset_1(U_234,U_238,U_236) ),
inference(clausify,[status(thm)],[f_136_4]) ).
cnf(f_136_6,plain,
( m2_relset_1(U_235,U_239,U_237)
| ~ m1_relset_1(U_235,U_239,U_237) ),
inference(clausify,[status(thm)],[f_136_4]) ).
fof(f_137_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_137_2,plain,
! [U_241,U_240] : r1_tarski(U_241,U_241),
inference(variable_rename,[status(thm)],[f_137_1]) ).
fof(f_137_3,plain,
! [U_241] : r1_tarski(U_241,U_241),
inference(miniscope,[status(thm)],[f_137_2]) ).
fof(f_137_4,plain,
! [U_241] : r1_tarski(U_241,U_241),
inference(definitional_conversion,[status(esa)],[f_137_3]) ).
cnf(f_137_5,plain,
r1_tarski(U_241,U_241),
inference(clausify,[status(thm)],[f_137_4]) ).
fof(f_138_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_138_2,plain,
! [U_243,U_242] :
( m1_subset_1(U_243,U_242)
| ~ r2_hidden(U_243,U_242) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
fof(f_138_3,plain,
! [U_243,U_242] :
( m1_subset_1(U_243,U_242)
| ~ r2_hidden(U_243,U_242) ),
inference(definitional_conversion,[status(esa)],[f_138_2]) ).
cnf(f_138_4,plain,
( m1_subset_1(U_243,U_242)
| ~ r2_hidden(U_243,U_242) ),
inference(clausify,[status(thm)],[f_138_3]) ).
fof(f_139_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_139_2,plain,
! [U_246] :
( ! [U_245] :
( ! [U_244] :
( v22_waybel_0(U_244,U_246,U_245)
| ~ v1_waybel34(k1_waybel34(U_246,U_245,U_244),U_245,U_246)
| ~ m2_relset_1(U_244,u1_struct_0(U_246),u1_struct_0(U_245))
| ~ v17_waybel_0(U_244,U_246,U_245)
| ~ v1_funct_2(U_244,u1_struct_0(U_246),u1_struct_0(U_245))
| ~ v1_funct_1(U_244) )
| ~ l1_orders_2(U_245)
| ~ v3_waybel_3(U_245)
| ~ v3_lattice3(U_245)
| ~ v2_lattice3(U_245)
| ~ v1_lattice3(U_245)
| ~ v4_orders_2(U_245)
| ~ v3_orders_2(U_245)
| ~ v2_orders_2(U_245) )
| ~ l1_orders_2(U_246)
| ~ v3_lattice3(U_246)
| ~ v2_lattice3(U_246)
| ~ v1_lattice3(U_246)
| ~ v4_orders_2(U_246)
| ~ v3_orders_2(U_246)
| ~ v2_orders_2(U_246) ),
inference(variable_rename,[status(thm)],[f_139_1]) ).
fof(f_139_3,plain,
! [U_246,U_244,U_245] :
( v22_waybel_0(U_244,U_246,U_245)
| ~ v1_waybel34(k1_waybel34(U_246,U_245,U_244),U_245,U_246)
| ~ m2_relset_1(U_244,u1_struct_0(U_246),u1_struct_0(U_245))
| ~ v17_waybel_0(U_244,U_246,U_245)
| ~ v1_funct_2(U_244,u1_struct_0(U_246),u1_struct_0(U_245))
| ~ v1_funct_1(U_244)
| ~ l1_orders_2(U_245)
| ~ v3_waybel_3(U_245)
| ~ v3_lattice3(U_245)
| ~ v2_lattice3(U_245)
| ~ v1_lattice3(U_245)
| ~ v4_orders_2(U_245)
| ~ v3_orders_2(U_245)
| ~ v2_orders_2(U_245)
| ~ l1_orders_2(U_246)
| ~ v3_lattice3(U_246)
| ~ v2_lattice3(U_246)
| ~ v1_lattice3(U_246)
| ~ v4_orders_2(U_246)
| ~ v3_orders_2(U_246)
| ~ v2_orders_2(U_246) ),
inference(definitional_conversion,[status(esa)],[f_139_2]) ).
cnf(f_139_4,plain,
( v22_waybel_0(U_244,U_246,U_245)
| ~ v1_waybel34(k1_waybel34(U_246,U_245,U_244),U_245,U_246)
| ~ m2_relset_1(U_244,u1_struct_0(U_246),u1_struct_0(U_245))
| ~ v17_waybel_0(U_244,U_246,U_245)
| ~ v1_funct_2(U_244,u1_struct_0(U_246),u1_struct_0(U_245))
| ~ v1_funct_1(U_244)
| ~ l1_orders_2(U_245)
| ~ v3_waybel_3(U_245)
| ~ v3_lattice3(U_245)
| ~ v2_lattice3(U_245)
| ~ v1_lattice3(U_245)
| ~ v4_orders_2(U_245)
| ~ v3_orders_2(U_245)
| ~ v2_orders_2(U_245)
| ~ l1_orders_2(U_246)
| ~ v3_lattice3(U_246)
| ~ v2_lattice3(U_246)
| ~ v1_lattice3(U_246)
| ~ v4_orders_2(U_246)
| ~ v3_orders_2(U_246)
| ~ v2_orders_2(U_246) ),
inference(clausify,[status(thm)],[f_139_3]) ).
fof(f_140_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_140_2,plain,
! [U_248,U_247] :
( r2_hidden(U_248,U_247)
| v1_xboole_0(U_247)
| ~ m1_subset_1(U_248,U_247) ),
inference(variable_rename,[status(thm)],[f_140_1]) ).
fof(f_140_3,plain,
! [U_248,U_247] :
( r2_hidden(U_248,U_247)
| v1_xboole_0(U_247)
| ~ m1_subset_1(U_248,U_247) ),
inference(definitional_conversion,[status(esa)],[f_140_2]) ).
cnf(f_140_4,plain,
( r2_hidden(U_248,U_247)
| v1_xboole_0(U_247)
| ~ m1_subset_1(U_248,U_247) ),
inference(clausify,[status(thm)],[f_140_3]) ).
fof(f_141_1,plain,
! [A] :
( ! [B] :
( ( k1_waybel34(k2_yellow_2(A,A,B),A,k3_waybel_1(A,A,B)) = k2_waybel_1(A,A,B)
& k2_waybel34(k2_yellow_2(A,A,B),A,k2_waybel_1(A,A,B)) = k3_waybel_1(A,A,B)
& v17_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
& v18_waybel_0(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B)) )
| ~ m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(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)],[t39_waybel34]) ).
fof(f_141_2,plain,
! [U_250] :
( ! [U_249] :
( ( k1_waybel34(k2_yellow_2(U_250,U_250,U_249),U_250,k3_waybel_1(U_250,U_250,U_249)) = k2_waybel_1(U_250,U_250,U_249)
& k2_waybel34(k2_yellow_2(U_250,U_250,U_249),U_250,k2_waybel_1(U_250,U_250,U_249)) = k3_waybel_1(U_250,U_250,U_249)
& v17_waybel_0(k3_waybel_1(U_250,U_250,U_249),k2_yellow_2(U_250,U_250,U_249),U_250)
& v18_waybel_0(k2_waybel_1(U_250,U_250,U_249),U_250,k2_yellow_2(U_250,U_250,U_249)) )
| ~ m2_relset_1(U_249,u1_struct_0(U_250),u1_struct_0(U_250))
| ~ v7_waybel_1(U_249,U_250)
| ~ v1_funct_2(U_249,u1_struct_0(U_250),u1_struct_0(U_250))
| ~ v1_funct_1(U_249) )
| ~ l1_orders_2(U_250)
| ~ v3_lattice3(U_250)
| ~ v2_lattice3(U_250)
| ~ v1_lattice3(U_250)
| ~ v4_orders_2(U_250)
| ~ v3_orders_2(U_250)
| ~ v2_orders_2(U_250) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
fof(f_141_3,plain,
( ! [U_249,U_250] :
( k1_waybel34(k2_yellow_2(U_250,U_250,U_249),U_250,k3_waybel_1(U_250,U_250,U_249)) = k2_waybel_1(U_250,U_250,U_249)
| ~ sP82(U_249,U_250) )
& ! [U_249,U_250] :
( k2_waybel34(k2_yellow_2(U_250,U_250,U_249),U_250,k2_waybel_1(U_250,U_250,U_249)) = k3_waybel_1(U_250,U_250,U_249)
| ~ sP82(U_249,U_250) )
& ! [U_249,U_250] :
( v17_waybel_0(k3_waybel_1(U_250,U_250,U_249),k2_yellow_2(U_250,U_250,U_249),U_250)
| ~ sP82(U_249,U_250) )
& ! [U_249,U_250] :
( v18_waybel_0(k2_waybel_1(U_250,U_250,U_249),U_250,k2_yellow_2(U_250,U_250,U_249))
| ~ sP82(U_249,U_250) )
& ! [U_249,U_250] :
( sP82(U_249,U_250)
| ~ m2_relset_1(U_249,u1_struct_0(U_250),u1_struct_0(U_250))
| ~ v7_waybel_1(U_249,U_250)
| ~ v1_funct_2(U_249,u1_struct_0(U_250),u1_struct_0(U_250))
| ~ v1_funct_1(U_249)
| ~ l1_orders_2(U_250)
| ~ v3_lattice3(U_250)
| ~ v2_lattice3(U_250)
| ~ v1_lattice3(U_250)
| ~ v4_orders_2(U_250)
| ~ v3_orders_2(U_250)
| ~ v2_orders_2(U_250) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP82])],[f_141_2]) ).
cnf(f_141_4,plain,
( sP82(U_249,U_250)
| ~ m2_relset_1(U_249,u1_struct_0(U_250),u1_struct_0(U_250))
| ~ v7_waybel_1(U_249,U_250)
| ~ v1_funct_2(U_249,u1_struct_0(U_250),u1_struct_0(U_250))
| ~ v1_funct_1(U_249)
| ~ l1_orders_2(U_250)
| ~ v3_lattice3(U_250)
| ~ v2_lattice3(U_250)
| ~ v1_lattice3(U_250)
| ~ v4_orders_2(U_250)
| ~ v3_orders_2(U_250)
| ~ v2_orders_2(U_250) ),
inference(clausify,[status(thm)],[f_141_3]) ).
cnf(f_141_5,plain,
( v18_waybel_0(k2_waybel_1(U_250,U_250,U_249),U_250,k2_yellow_2(U_250,U_250,U_249))
| ~ sP82(U_249,U_250) ),
inference(clausify,[status(thm)],[f_141_3]) ).
cnf(f_141_6,plain,
( v17_waybel_0(k3_waybel_1(U_250,U_250,U_249),k2_yellow_2(U_250,U_250,U_249),U_250)
| ~ sP82(U_249,U_250) ),
inference(clausify,[status(thm)],[f_141_3]) ).
cnf(f_141_7,plain,
( k2_waybel34(k2_yellow_2(U_250,U_250,U_249),U_250,k2_waybel_1(U_250,U_250,U_249)) = k3_waybel_1(U_250,U_250,U_249)
| ~ sP82(U_249,U_250) ),
inference(clausify,[status(thm)],[f_141_3]) ).
cnf(f_141_8,plain,
( k1_waybel34(k2_yellow_2(U_250,U_250,U_249),U_250,k3_waybel_1(U_250,U_250,U_249)) = k2_waybel_1(U_250,U_250,U_249)
| ~ sP82(U_249,U_250) ),
inference(clausify,[status(thm)],[f_141_3]) ).
fof(f_142_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_142_2,plain,
! [U_252,U_251] :
( ( m1_subset_1(U_252,k1_zfmisc_1(U_251))
| ~ r1_tarski(U_252,U_251) )
& ( r1_tarski(U_252,U_251)
| ~ m1_subset_1(U_252,k1_zfmisc_1(U_251)) ) ),
inference(variable_rename,[status(thm)],[f_142_1]) ).
fof(f_142_3,plain,
( ! [U_256,U_254] :
( m1_subset_1(U_256,k1_zfmisc_1(U_254))
| ~ r1_tarski(U_256,U_254) )
& ! [U_255,U_253] :
( r1_tarski(U_255,U_253)
| ~ m1_subset_1(U_255,k1_zfmisc_1(U_253)) ) ),
inference(miniscope,[status(thm)],[f_142_2]) ).
fof(f_142_4,plain,
( ! [U_254,U_256] :
( m1_subset_1(U_256,k1_zfmisc_1(U_254))
| ~ r1_tarski(U_256,U_254) )
& ! [U_253,U_255] :
( r1_tarski(U_255,U_253)
| ~ m1_subset_1(U_255,k1_zfmisc_1(U_253)) ) ),
inference(definitional_conversion,[status(esa)],[f_142_3]) ).
cnf(f_142_5,plain,
( r1_tarski(U_255,U_253)
| ~ m1_subset_1(U_255,k1_zfmisc_1(U_253)) ),
inference(clausify,[status(thm)],[f_142_4]) ).
cnf(f_142_6,plain,
( m1_subset_1(U_256,k1_zfmisc_1(U_254))
| ~ r1_tarski(U_256,U_254) ),
inference(clausify,[status(thm)],[f_142_4]) ).
fof(f_143_1,plain,
! [A] :
( ! [B] :
( ( ( v4_waybel_0(k2_yellow_2(A,A,B),A)
| ~ v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A) )
& ( v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
| ~ v4_waybel_0(k2_yellow_2(A,A,B),A) ) )
| ~ m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
| ~ v7_waybel_1(B,A)
| ~ v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
| ~ v1_funct_1(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)],[t40_waybel34]) ).
fof(f_143_2,plain,
! [U_258] :
( ! [U_257] :
( ( ( v4_waybel_0(k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ v22_waybel_0(k3_waybel_1(U_258,U_258,U_257),k2_yellow_2(U_258,U_258,U_257),U_258) )
& ( v22_waybel_0(k3_waybel_1(U_258,U_258,U_257),k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ v4_waybel_0(k2_yellow_2(U_258,U_258,U_257),U_258) ) )
| ~ m2_relset_1(U_257,u1_struct_0(U_258),u1_struct_0(U_258))
| ~ v7_waybel_1(U_257,U_258)
| ~ v1_funct_2(U_257,u1_struct_0(U_258),u1_struct_0(U_258))
| ~ v1_funct_1(U_257) )
| ~ l1_orders_2(U_258)
| ~ v3_lattice3(U_258)
| ~ v2_lattice3(U_258)
| ~ v1_lattice3(U_258)
| ~ v4_orders_2(U_258)
| ~ v3_orders_2(U_258)
| ~ v2_orders_2(U_258) ),
inference(variable_rename,[status(thm)],[f_143_1]) ).
fof(f_143_3,plain,
( ! [U_257,U_258] :
( v4_waybel_0(k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ v22_waybel_0(k3_waybel_1(U_258,U_258,U_257),k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ sP83(U_257,U_258) )
& ! [U_257,U_258] :
( v22_waybel_0(k3_waybel_1(U_258,U_258,U_257),k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ v4_waybel_0(k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ sP83(U_257,U_258) )
& ! [U_257,U_258] :
( sP83(U_257,U_258)
| ~ m2_relset_1(U_257,u1_struct_0(U_258),u1_struct_0(U_258))
| ~ v7_waybel_1(U_257,U_258)
| ~ v1_funct_2(U_257,u1_struct_0(U_258),u1_struct_0(U_258))
| ~ v1_funct_1(U_257)
| ~ l1_orders_2(U_258)
| ~ v3_lattice3(U_258)
| ~ v2_lattice3(U_258)
| ~ v1_lattice3(U_258)
| ~ v4_orders_2(U_258)
| ~ v3_orders_2(U_258)
| ~ v2_orders_2(U_258) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP83])],[f_143_2]) ).
cnf(f_143_4,plain,
( sP83(U_257,U_258)
| ~ m2_relset_1(U_257,u1_struct_0(U_258),u1_struct_0(U_258))
| ~ v7_waybel_1(U_257,U_258)
| ~ v1_funct_2(U_257,u1_struct_0(U_258),u1_struct_0(U_258))
| ~ v1_funct_1(U_257)
| ~ l1_orders_2(U_258)
| ~ v3_lattice3(U_258)
| ~ v2_lattice3(U_258)
| ~ v1_lattice3(U_258)
| ~ v4_orders_2(U_258)
| ~ v3_orders_2(U_258)
| ~ v2_orders_2(U_258) ),
inference(clausify,[status(thm)],[f_143_3]) ).
cnf(f_143_5,plain,
( v22_waybel_0(k3_waybel_1(U_258,U_258,U_257),k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ v4_waybel_0(k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ sP83(U_257,U_258) ),
inference(clausify,[status(thm)],[f_143_3]) ).
cnf(f_143_6,plain,
( v4_waybel_0(k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ v22_waybel_0(k3_waybel_1(U_258,U_258,U_257),k2_yellow_2(U_258,U_258,U_257),U_258)
| ~ sP83(U_257,U_258) ),
inference(clausify,[status(thm)],[f_143_3]) ).
fof(f_144_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_144_2,plain,
! [U_261,U_260,U_259] :
( m1_subset_1(U_261,U_259)
| ~ m1_subset_1(U_260,k1_zfmisc_1(U_259))
| ~ r2_hidden(U_261,U_260) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
fof(f_144_3,plain,
! [U_261,U_259,U_260] :
( m1_subset_1(U_261,U_259)
| ~ m1_subset_1(U_260,k1_zfmisc_1(U_259))
| ~ r2_hidden(U_261,U_260) ),
inference(definitional_conversion,[status(esa)],[f_144_2]) ).
cnf(f_144_4,plain,
( m1_subset_1(U_261,U_259)
| ~ m1_subset_1(U_260,k1_zfmisc_1(U_259))
| ~ r2_hidden(U_261,U_260) ),
inference(clausify,[status(thm)],[f_144_3]) ).
fof(f_145_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_145_2,plain,
! [U_264,U_263,U_262] :
( ~ v1_xboole_0(U_262)
| ~ m1_subset_1(U_263,k1_zfmisc_1(U_262))
| ~ r2_hidden(U_264,U_263) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
fof(f_145_3,plain,
! [U_264,U_263] :
( ! [U_262] :
( ~ v1_xboole_0(U_262)
| ~ m1_subset_1(U_263,k1_zfmisc_1(U_262)) )
| ~ r2_hidden(U_264,U_263) ),
inference(miniscope,[status(thm)],[f_145_2]) ).
fof(f_145_4,plain,
! [U_264,U_263,U_262] :
( ~ v1_xboole_0(U_262)
| ~ m1_subset_1(U_263,k1_zfmisc_1(U_262))
| ~ r2_hidden(U_264,U_263) ),
inference(definitional_conversion,[status(esa)],[f_145_3]) ).
cnf(f_145_5,plain,
( ~ v1_xboole_0(U_262)
| ~ m1_subset_1(U_263,k1_zfmisc_1(U_262))
| ~ r2_hidden(U_264,U_263) ),
inference(clausify,[status(thm)],[f_145_4]) ).
fof(f_146_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_146_2,plain,
! [U_265] :
( U_265 = k1_xboole_0
| ~ v1_xboole_0(U_265) ),
inference(variable_rename,[status(thm)],[f_146_1]) ).
fof(f_146_3,plain,
! [U_265] :
( U_265 = k1_xboole_0
| ~ v1_xboole_0(U_265) ),
inference(definitional_conversion,[status(esa)],[f_146_2]) ).
cnf(f_146_4,plain,
( U_265 = k1_xboole_0
| ~ v1_xboole_0(U_265) ),
inference(clausify,[status(thm)],[f_146_3]) ).
fof(f_147_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_147_2,plain,
! [U_267,U_266] :
( ~ v1_xboole_0(U_266)
| ~ r2_hidden(U_267,U_266) ),
inference(variable_rename,[status(thm)],[f_147_1]) ).
fof(f_147_3,plain,
! [U_267,U_266] :
( ~ v1_xboole_0(U_266)
| ~ r2_hidden(U_267,U_266) ),
inference(definitional_conversion,[status(esa)],[f_147_2]) ).
cnf(f_147_4,plain,
( ~ v1_xboole_0(U_266)
| ~ r2_hidden(U_267,U_266) ),
inference(clausify,[status(thm)],[f_147_3]) ).
fof(f_148_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_148_2,plain,
! [U_269,U_268] :
( ~ v1_xboole_0(U_268)
| U_269 = U_268
| ~ v1_xboole_0(U_269) ),
inference(variable_rename,[status(thm)],[f_148_1]) ).
fof(f_148_3,plain,
! [U_269] :
( ! [U_268] :
( ~ v1_xboole_0(U_268)
| U_269 = U_268 )
| ~ v1_xboole_0(U_269) ),
inference(miniscope,[status(thm)],[f_148_2]) ).
fof(f_148_4,plain,
! [U_269,U_268] :
( ~ v1_xboole_0(U_268)
| U_269 = U_268
| ~ v1_xboole_0(U_269) ),
inference(definitional_conversion,[status(esa)],[f_148_3]) ).
cnf(f_148_5,plain,
( ~ v1_xboole_0(U_268)
| U_269 = U_268
| ~ v1_xboole_0(U_269) ),
inference(clausify,[status(thm)],[f_148_4]) ).
cnf(f_60_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_60_3]) ).
cnf(f_61_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_61_3]) ).
cnf(f_65_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_65_3]) ).
cnf(f_70_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_70_3]) ).
cnf(f_71_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_71_3]) ).
cnf(f_72_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_72_3]) ).
cnf(f_76_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_76_3]) ).
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,
( k2_waybel_1(Eq_x_0,Eq_x_1,Eq_x_2) = k2_waybel_1(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,
( k2_yellow_2(Eq_x_0,Eq_x_1,Eq_x_2) = k2_yellow_2(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_7,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_8,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_9,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_10,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_11,axiom,
( k8_relat_1(Eq_x_0,Eq_x_1) = k8_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_12,axiom,
( k3_waybel_1(Eq_x_0,Eq_x_1,Eq_x_2) = k3_waybel_1(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_13,axiom,
( k7_grcat_1(Eq_x_0) = k7_grcat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,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_15,axiom,
( k2_waybel34(Eq_x_0,Eq_x_1,Eq_x_2) = k2_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_16,axiom,
( sK5(Eq_x_0,Eq_x_1) = sK5(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,
( sK6(Eq_x_0) = sK6(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( sK8(Eq_x_0,Eq_x_1) = sK8(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,
( sK13(Eq_x_0,Eq_x_1) = sK13(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( sK15(Eq_x_0,Eq_x_1) = sK15(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,
( sK16(Eq_x_0) = sK16(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( sK17(Eq_x_0) = sK17(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( sK20(Eq_x_0) = sK20(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( sK21(Eq_x_0) = sK21(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( sK24(Eq_x_0) = sK24(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( sK27(Eq_x_0) = sK27(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( sK28(Eq_x_0) = sK28(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,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_30,axiom,
( sK30(Eq_x_0) = sK30(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( sK31(Eq_x_0) = sK31(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( sK32(Eq_x_0,Eq_x_1) = sK32(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( sK33(Eq_x_0) = sK33(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,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_35,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_36,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_37,axiom,
( v1_lattice3(Eq_y_0)
| ~ v1_lattice3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,axiom,
( v2_lattice3(Eq_y_0)
| ~ v2_lattice3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_39,axiom,
( v3_lattice3(Eq_y_0)
| ~ v3_lattice3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,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_41,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_42,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_43,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_44,axiom,
( v7_waybel_1(Eq_y_0,Eq_y_1)
| ~ v7_waybel_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_45,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_46,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_47,axiom,
( v4_waybel_0(Eq_y_0,Eq_y_1)
| ~ v4_waybel_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_48,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_49,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_50,axiom,
( v1_membered(Eq_y_0)
| ~ v1_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,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_52,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_53,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_54,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_55,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_56,axiom,
( v2_membered(Eq_y_0)
| ~ v2_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_57,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_58,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_59,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_60,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_61,axiom,
( v5_yellow_0(Eq_y_0,Eq_y_1)
| ~ v5_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_62,axiom,
( v3_membered(Eq_y_0)
| ~ v3_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_63,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_64,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_65,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_66,axiom,
( v4_membered(Eq_y_0)
| ~ v4_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_67,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_68,axiom,
( v5_membered(Eq_y_0)
| ~ v5_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_69,axiom,
( v4_ordinal2(Eq_y_0)
| ~ v4_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_70,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_71,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_72,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_73,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_74,axiom,
( v6_waybel_1(Eq_y_0,Eq_y_1)
| ~ v6_waybel_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_75,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_76,axiom,
( v11_quantal1(Eq_y_0)
| ~ v11_quantal1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_77,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_78,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_79,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_80,axiom,
( v7_yellow_0(Eq_y_0,Eq_y_1)
| ~ v7_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_81,axiom,
( v3_waybel_0(Eq_y_0,Eq_y_1)
| ~ v3_waybel_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_82,axiom,
( v4_waybel_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v4_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_83,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_84,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_85,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_86,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_87,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_88,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_89,axiom,
( v8_waybel_1(Eq_y_0,Eq_y_1)
| ~ v8_waybel_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_90,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_91,axiom,
( v23_waybel_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v23_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_92,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_93,axiom,
( v2_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v2_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_94,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_95,axiom,
( sP0(Eq_y_0)
| ~ sP0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_96,axiom,
( sP1(Eq_y_0)
| ~ sP1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_97,axiom,
( sP2(Eq_y_0)
| ~ sP2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_98,axiom,
( sP3(Eq_y_0,Eq_y_1)
| ~ sP3(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_99,axiom,
( sP4(Eq_y_0)
| ~ sP4(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_100,axiom,
( sP5(Eq_y_0)
| ~ sP5(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_101,axiom,
( sP6(Eq_y_0)
| ~ sP6(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_102,axiom,
( sP7(Eq_y_0)
| ~ sP7(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_103,axiom,
( sP8(Eq_y_0)
| ~ sP8(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_104,axiom,
( sP9(Eq_y_0)
| ~ sP9(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_105,axiom,
( sP10(Eq_y_0)
| ~ sP10(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_106,axiom,
( sP11(Eq_y_0)
| ~ sP11(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_107,axiom,
( sP12(Eq_y_0)
| ~ sP12(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_108,axiom,
( sP13(Eq_y_0)
| ~ sP13(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_109,axiom,
( sP14(Eq_y_0,Eq_y_1)
| ~ sP14(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_110,axiom,
( sP15(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP15(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_111,axiom,
( sP16(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP16(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_112,axiom,
( sP17(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP17(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_113,axiom,
( sP18(Eq_y_0)
| ~ sP18(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_114,axiom,
( sP19(Eq_y_0)
| ~ sP19(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_115,axiom,
( sP20(Eq_y_0)
| ~ sP20(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_116,axiom,
( sP21(Eq_y_0)
| ~ sP21(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_117,axiom,
( sP22(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP22(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_118,axiom,
( sP23(Eq_y_0,Eq_y_1)
| ~ sP23(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_119,axiom,
( sP24(Eq_y_0)
| ~ sP24(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_120,axiom,
( sP25(Eq_y_0,Eq_y_1)
| ~ sP25(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_121,axiom,
( sP26(Eq_y_0)
| ~ sP26(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_122,axiom,
( sP27(Eq_y_0)
| ~ sP27(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_123,axiom,
( sP28(Eq_y_0)
| ~ sP28(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_124,axiom,
( sP29(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP29(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_125,axiom,
( sP30(Eq_y_0,Eq_y_1)
| ~ sP30(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_126,axiom,
( sP31(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP31(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_127,axiom,
( sP32(Eq_y_0,Eq_y_1)
| ~ sP32(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_128,axiom,
( sP33(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP33(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_129,axiom,
( sP34(Eq_y_0,Eq_y_1)
| ~ sP34(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_130,axiom,
( sP35(Eq_y_0)
| ~ sP35(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_131,axiom,
( sP36(Eq_y_0,Eq_y_1)
| ~ sP36(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_132,axiom,
( sP37(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP37(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_133,axiom,
( sP38(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP38(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_134,axiom,
( sP39(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP39(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_135,axiom,
( sP40(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP40(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_136,axiom,
( sP41(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP41(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_137,axiom,
( sP42(Eq_y_0)
| ~ sP42(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_138,axiom,
( sP43(Eq_y_0,Eq_y_1)
| ~ sP43(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_139,axiom,
( sP44(Eq_y_0,Eq_y_1)
| ~ sP44(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_140,axiom,
( sP45(Eq_y_0)
| ~ sP45(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_141,axiom,
( sP46(Eq_y_0,Eq_y_1)
| ~ sP46(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_142,axiom,
( sP47(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP47(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_143,axiom,
( sP48(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP48(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_144,axiom,
( sP49(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP49(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_145,axiom,
( sP50(Eq_y_0)
| ~ sP50(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_146,axiom,
( sP51(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP51(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_147,axiom,
( sP52(Eq_y_0)
| ~ sP52(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_148,axiom,
( sP53(Eq_y_0)
| ~ sP53(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_149,axiom,
( sP54(Eq_y_0)
| ~ sP54(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_150,axiom,
( sP55(Eq_y_0)
| ~ sP55(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_151,axiom,
( sP56(Eq_y_0)
| ~ sP56(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_152,axiom,
( sP57(Eq_y_0,Eq_y_1)
| ~ sP57(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_153,axiom,
( sP58(Eq_y_0)
| ~ sP58(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_154,axiom,
( sP59(Eq_y_0)
| ~ sP59(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_155,axiom,
( sP60(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP60(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_156,axiom,
( sP61(Eq_y_0)
| ~ sP61(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_157,axiom,
( sP62(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP62(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_158,axiom,
( sP63(Eq_y_0)
| ~ sP63(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_159,axiom,
( sP64(Eq_y_0)
| ~ sP64(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_160,axiom,
( sP65(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP65(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_161,axiom,
( sP66(Eq_y_0)
| ~ sP66(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_162,axiom,
( sP67(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP67(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_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_predicates]) ).
cnf(equality_163,axiom,
( sP68(Eq_y_0,Eq_y_1)
| ~ sP68(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_164,axiom,
( sP69(Eq_y_0,Eq_y_1)
| ~ sP69(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_165,axiom,
( sP70(Eq_y_0)
| ~ sP70(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_166,axiom,
( sP71(Eq_y_0)
| ~ sP71(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_167,axiom,
( sP72(Eq_y_0)
| ~ sP72(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_168,axiom,
( sP73(Eq_y_0)
| ~ sP73(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_169,axiom,
( sP74(Eq_y_0)
| ~ sP74(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_170,axiom,
( sP75(Eq_y_0)
| ~ sP75(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_171,axiom,
( sP76(Eq_y_0)
| ~ sP76(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_172,axiom,
( sP77(Eq_y_0,Eq_y_1)
| ~ sP77(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_173,axiom,
( sP78(Eq_y_0)
| ~ sP78(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_174,axiom,
( sP79(Eq_y_0)
| ~ sP79(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_175,axiom,
( sP80(Eq_y_0,Eq_y_1)
| ~ sP80(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_176,axiom,
( sP81(Eq_y_0)
| ~ sP81(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_177,axiom,
( sP82(Eq_y_0,Eq_y_1)
| ~ sP82(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_178,axiom,
( sP83(Eq_y_0,Eq_y_1)
| ~ sP83(Eq_x_0,Eq_x_1)
| 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
% 0.00/0.02 % Problem : LAT370+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 13:43:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 238.93/239.23 % SZS status Theorem for theBenchmark
% 238.93/239.23 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------