%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT352+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 : n009.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 08:48:20 AM UTC 2026
% Result : Theorem 276.06s 276.48s
% Output : Proof 276.49s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t2_waybel34,conjecture,
! [A] :
( ( l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [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) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k7_yellow_2(u1_struct_0(B),A,k1_waybel34(A,B,C),D) = k2_yellow_0(A,k5_pre_topc(A,B,C,k7_waybel_0(B,D))) ) ) ) ),
file('theBenchmark.p',t2_waybel34) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc10_membered,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> v1_xcmplx_0(B) ) ),
file('theBenchmark.p',cc10_membered) ).
fof(cc10_waybel_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v25_waybel_0(A)
& v24_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc10_waybel_0) ).
fof(cc11_membered,axiom,
! [A] :
( v2_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_xreal_0(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc11_membered) ).
fof(cc11_waybel_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v25_waybel_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v1_yellow_0(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc11_waybel_0) ).
fof(cc12_membered,axiom,
! [A] :
( v3_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> ( v1_rat_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) ) ) ),
file('theBenchmark.p',cc12_membered) ).
fof(cc12_waybel_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v24_waybel_0(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v3_yellow_0(A)
& v2_yellow_0(A)
& v1_yellow_0(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc12_waybel_0) ).
fof(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_setfam_1,axiom,
! [A] :
( ( v1_setfam_1(A)
& ~ v1_xboole_0(A) )
=> ! [B] :
( m1_subset_1(B,A)
=> ~ v1_xboole_0(B) ) ),
file('theBenchmark.p',cc1_setfam_1) ).
fof(cc1_waybel17,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v4_orders_2(B)
& v2_orders_2(B)
& ~ v3_struct_0(B)
& l1_orders_2(A)
& v4_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v22_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v5_orders_3(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& ~ v1_xboole_0(C) ) ) ) ),
file('theBenchmark.p',cc1_waybel17) ).
fof(cc1_waybel21,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v2_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& l1_orders_2(A)
& v2_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v19_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v5_orders_3(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ) ),
file('theBenchmark.p',cc1_waybel21) ).
fof(cc1_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_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_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_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_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(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(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(commutativity_k2_tarski,axiom,
! [A,B] : k2_tarski(A,B) = k2_tarski(B,A),
file('theBenchmark.p',commutativity_k2_tarski) ).
fof(d18_waybel_0,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k7_waybel_0(A,B) = k5_waybel_0(A,k1_struct_0(A,B)) ) ),
file('theBenchmark.p',d18_waybel_0) ).
fof(d1_waybel34,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(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))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( ( v17_waybel_0(C,A,B)
& v3_lattice3(B)
& v3_lattice3(A) )
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D) )
=> ( D = k1_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) ),
file('theBenchmark.p',d1_waybel34) ).
fof(d5_tarski,axiom,
! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)),
file('theBenchmark.p',d5_tarski) ).
fof(d6_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> ! [C] :
( r3_waybel_1(A,B,C)
<=> ( r2_hidden(k2_yellow_0(A,C),C)
& B = k2_yellow_0(A,C)
& r2_yellow_0(A,C) ) ) ) ),
file('theBenchmark.p',d6_waybel_1) ).
fof(dt_k10_relat_1,axiom,
$true,
file('theBenchmark.p',dt_k10_relat_1) ).
fof(dt_k1_funct_1,axiom,
$true,
file('theBenchmark.p',dt_k1_funct_1) ).
fof(dt_k1_struct_0,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('theBenchmark.p',dt_k1_struct_0) ).
fof(dt_k1_tarski,axiom,
$true,
file('theBenchmark.p',dt_k1_tarski) ).
fof(dt_k1_waybel34,axiom,
! [A,B,C] :
( ( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C)
& l1_orders_2(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& l1_orders_2(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( m2_relset_1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(k1_waybel34(A,B,C)) ) ),
file('theBenchmark.p',dt_k1_waybel34) ).
fof(dt_k1_waybel_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D)
& 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)
& l1_orders_2(A) )
=> m1_waybel_1(k1_waybel_1(A,B,C,D),A,B) ),
file('theBenchmark.p',dt_k1_waybel_1) ).
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_tarski,axiom,
$true,
file('theBenchmark.p',dt_k2_tarski) ).
fof(dt_k2_yellow_0,axiom,
! [A,B] :
( l1_orders_2(A)
=> m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A)) ),
file('theBenchmark.p',dt_k2_yellow_0) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k2_zfmisc_1) ).
fof(dt_k4_tarski,axiom,
$true,
file('theBenchmark.p',dt_k4_tarski) ).
fof(dt_k5_pre_topc,axiom,
! [A,B,C,D] :
( ( 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_struct_0(B)
& l1_struct_0(A) )
=> m1_subset_1(k5_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))) ),
file('theBenchmark.p',dt_k5_pre_topc) ).
fof(dt_k5_waybel_0,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_orders_2(A) )
=> m1_subset_1(k5_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('theBenchmark.p',dt_k5_waybel_0) ).
fof(dt_k7_waybel_0,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_orders_2(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k7_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('theBenchmark.p',dt_k7_waybel_0) ).
fof(dt_k7_yellow_2,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,A)
& m1_relset_1(C,A,u1_struct_0(B))
& v1_funct_2(C,A,u1_struct_0(B))
& v1_funct_1(C)
& l1_struct_0(B)
& ~ v3_struct_0(B)
& ~ v1_xboole_0(A) )
=> m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B)) ),
file('theBenchmark.p',dt_k7_yellow_2) ).
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_waybel_1,axiom,
$true,
file('theBenchmark.p',dt_m1_waybel_1) ).
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_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_waybel_1,axiom,
! [A,B] :
( ( l1_orders_2(B)
& l1_orders_2(A) )
=> ? [C] : m1_waybel_1(C,A,B) ),
file('theBenchmark.p',existence_m1_waybel_1) ).
fof(existence_m2_relset_1,axiom,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
file('theBenchmark.p',existence_m2_relset_1) ).
fof(fc10_membered,axiom,
! [A] :
( v1_int_1(A)
=> ( v4_membered(k1_tarski(A))
& v3_membered(k1_tarski(A))
& v2_membered(k1_tarski(A))
& v1_membered(k1_tarski(A)) ) ),
file('theBenchmark.p',fc10_membered) ).
fof(fc10_waybel_0,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v2_waybel_0(k7_waybel_0(A,B),A)
& ~ v1_xboole_0(k7_waybel_0(A,B)) ) ),
file('theBenchmark.p',fc10_waybel_0) ).
fof(fc11_membered,axiom,
! [A] :
( v4_ordinal2(A)
=> ( v5_membered(k1_tarski(A))
& v4_membered(k1_tarski(A))
& v3_membered(k1_tarski(A))
& v2_membered(k1_tarski(A))
& v1_membered(k1_tarski(A)) ) ),
file('theBenchmark.p',fc11_membered) ).
fof(fc12_membered,axiom,
! [A,B] :
( ( v1_xcmplx_0(B)
& v1_xcmplx_0(A) )
=> v1_membered(k2_tarski(A,B)) ),
file('theBenchmark.p',fc12_membered) ).
fof(fc12_waybel_0,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_orders_2(A)
& v3_orders_2(A)
& ~ v3_struct_0(A) )
=> v13_waybel_0(k5_waybel_0(A,B),A) ),
file('theBenchmark.p',fc12_waybel_0) ).
fof(fc13_membered,axiom,
! [A,B] :
( ( v1_xreal_0(B)
& v1_xreal_0(A) )
=> ( v2_membered(k2_tarski(A,B))
& v1_membered(k2_tarski(A,B)) ) ),
file('theBenchmark.p',fc13_membered) ).
fof(fc14_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k2_zfmisc_1(A,B)) ),
file('theBenchmark.p',fc14_finset_1) ).
fof(fc14_membered,axiom,
! [A,B] :
( ( v1_rat_1(B)
& v1_rat_1(A) )
=> ( v3_membered(k2_tarski(A,B))
& v2_membered(k2_tarski(A,B))
& v1_membered(k2_tarski(A,B)) ) ),
file('theBenchmark.p',fc14_membered) ).
fof(fc14_waybel_0,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_orders_2(A)
& v3_orders_2(A)
& ~ v3_struct_0(A) )
=> v13_waybel_0(k7_waybel_0(A,B),A) ),
file('theBenchmark.p',fc14_waybel_0) ).
fof(fc15_membered,axiom,
! [A,B] :
( ( v1_int_1(B)
& v1_int_1(A) )
=> ( v4_membered(k2_tarski(A,B))
& v3_membered(k2_tarski(A,B))
& v2_membered(k2_tarski(A,B))
& v1_membered(k2_tarski(A,B)) ) ),
file('theBenchmark.p',fc15_membered) ).
fof(fc16_membered,axiom,
! [A,B] :
( ( v4_ordinal2(B)
& v4_ordinal2(A) )
=> ( v5_membered(k2_tarski(A,B))
& v4_membered(k2_tarski(A,B))
& v3_membered(k2_tarski(A,B))
& v2_membered(k2_tarski(A,B))
& v1_membered(k2_tarski(A,B)) ) ),
file('theBenchmark.p',fc16_membered) ).
fof(fc17_waybel_0,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& v2_waybel_0(B,A)
& l1_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v13_waybel_0(k5_waybel_0(A,B),A)
& v2_waybel_0(k5_waybel_0(A,B),A) ) ),
file('theBenchmark.p',fc17_waybel_0) ).
fof(fc1_finset_1,axiom,
! [A] :
( v1_finset_1(k1_tarski(A))
& ~ v1_xboole_0(k1_tarski(A)) ),
file('theBenchmark.p',fc1_finset_1) ).
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_finset_1,axiom,
! [A,B] :
( v1_finset_1(k2_tarski(A,B))
& ~ v1_xboole_0(k2_tarski(A,B)) ),
file('theBenchmark.p',fc2_finset_1) ).
fof(fc2_setfam_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( v1_setfam_1(k1_tarski(A))
& ~ v1_xboole_0(k1_tarski(A)) ) ),
file('theBenchmark.p',fc2_setfam_1) ).
fof(fc3_setfam_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ( v1_setfam_1(k2_tarski(A,B))
& ~ v1_xboole_0(k2_tarski(A,B)) ) ),
file('theBenchmark.p',fc3_setfam_1) ).
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(fc7_membered,axiom,
! [A] :
( v1_xcmplx_0(A)
=> v1_membered(k1_tarski(A)) ),
file('theBenchmark.p',fc7_membered) ).
fof(fc8_membered,axiom,
! [A] :
( v1_xreal_0(A)
=> ( v2_membered(k1_tarski(A))
& v1_membered(k1_tarski(A)) ) ),
file('theBenchmark.p',fc8_membered) ).
fof(fc8_waybel_0,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B)
& l1_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(k5_waybel_0(A,B)) ),
file('theBenchmark.p',fc8_waybel_0) ).
fof(fc9_membered,axiom,
! [A] :
( v1_rat_1(A)
=> ( v3_membered(k1_tarski(A))
& v2_membered(k1_tarski(A))
& v1_membered(k1_tarski(A)) ) ),
file('theBenchmark.p',fc9_membered) ).
fof(rc10_waybel_0,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v13_waybel_0(B,A)
& v2_waybel_0(B,A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc10_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_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_setfam_1,axiom,
? [A] :
( v1_setfam_1(A)
& ~ v1_xboole_0(A) ),
file('theBenchmark.p',rc1_setfam_1) ).
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_waybel34,axiom,
! [A,B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B)
& 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) )
=> ? [C] :
( v3_waybel_1(C,A,B)
& m1_waybel_1(C,A,B) ) ),
file('theBenchmark.p',rc1_waybel34) ).
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_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_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_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_k1_struct_0,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l1_struct_0(A)
& ~ v3_struct_0(A) )
=> k1_struct_0(A,B) = k1_tarski(B) ),
file('theBenchmark.p',redefinition_k1_struct_0) ).
fof(redefinition_k1_waybel_1,axiom,
! [A,B,C,D] :
( ( m1_relset_1(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D)
& 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)
& l1_orders_2(A) )
=> k1_waybel_1(A,B,C,D) = k4_tarski(C,D) ),
file('theBenchmark.p',redefinition_k1_waybel_1) ).
fof(redefinition_k5_pre_topc,axiom,
! [A,B,C,D] :
( ( 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_struct_0(B)
& l1_struct_0(A) )
=> k5_pre_topc(A,B,C,D) = k10_relat_1(C,D) ),
file('theBenchmark.p',redefinition_k5_pre_topc) ).
fof(redefinition_k7_yellow_2,axiom,
! [A,B,C,D] :
( ( m1_subset_1(D,A)
& m1_relset_1(C,A,u1_struct_0(B))
& v1_funct_2(C,A,u1_struct_0(B))
& v1_funct_1(C)
& l1_struct_0(B)
& ~ v3_struct_0(B)
& ~ v1_xboole_0(A) )
=> k7_yellow_2(A,B,C,D) = k1_funct_1(C,D) ),
file('theBenchmark.p',redefinition_k7_yellow_2) ).
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(t11_waybel_1,axiom,
! [A] :
( ( l1_orders_2(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_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) )
=> ! [D] :
( ( m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& v1_funct_1(D) )
=> ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
<=> ( ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,E),k5_pre_topc(A,B,C,k7_waybel_0(B,E))) )
& v5_orders_3(C,A,B) ) ) ) ) ) ),
file('theBenchmark.p',t11_waybel_1) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('theBenchmark.p',t1_subset) ).
fof(t2_subset,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('theBenchmark.p',t2_subset) ).
fof(t3_subset,axiom,
! [A,B] :
( m1_subset_1(A,k1_zfmisc_1(B))
<=> r1_tarski(A,B) ),
file('theBenchmark.p',t3_subset) ).
fof(t4_subset,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) )
=> m1_subset_1(A,C) ),
file('theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [A,B,C] :
~ ( v1_xboole_0(C)
& m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) ),
file('theBenchmark.p',t5_subset) ).
fof(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_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k7_yellow_2(u1_struct_0(B),A,k1_waybel34(A,B,C),D) = k2_yellow_0(A,k5_pre_topc(A,B,C,k7_waybel_0(B,D))) ) ) ) ),
inference(negate,[status(cth)],[t2_waybel34]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( k7_yellow_2(u1_struct_0(B),A,k1_waybel34(A,B,C),D) != k2_yellow_0(A,k5_pre_topc(A,B,C,k7_waybel_0(B,D)))
& m1_subset_1(D,u1_struct_0(B)) )
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
& l1_orders_2(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
& l1_orders_2(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( k7_yellow_2(u1_struct_0(U_2),U_3,k1_waybel34(U_3,U_2,U_1),U_0) != k2_yellow_0(U_3,k5_pre_topc(U_3,U_2,U_1,k7_waybel_0(U_2,U_0)))
& m1_subset_1(U_0,u1_struct_0(U_2)) )
& m2_relset_1(U_1,u1_struct_0(U_3),u1_struct_0(U_2))
& v17_waybel_0(U_1,U_3,U_2)
& v1_funct_2(U_1,u1_struct_0(U_3),u1_struct_0(U_2))
& v1_funct_1(U_1) )
& l1_orders_2(U_2)
& v3_lattice3(U_2)
& v2_lattice3(U_2)
& v1_lattice3(U_2)
& v4_orders_2(U_2)
& v3_orders_2(U_2)
& v2_orders_2(U_2) )
& l1_orders_2(U_3)
& v3_lattice3(U_3)
& v2_lattice3(U_3)
& v1_lattice3(U_3)
& v4_orders_2(U_3)
& v3_orders_2(U_3)
& v2_orders_2(U_3) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( k7_yellow_2(u1_struct_0(U_2),sK1,k1_waybel34(sK1,U_2,U_1),U_0) != k2_yellow_0(sK1,k5_pre_topc(sK1,U_2,U_1,k7_waybel_0(U_2,U_0)))
& m1_subset_1(U_0,u1_struct_0(U_2)) )
& m2_relset_1(U_1,u1_struct_0(sK1),u1_struct_0(U_2))
& v17_waybel_0(U_1,sK1,U_2)
& v1_funct_2(U_1,u1_struct_0(sK1),u1_struct_0(U_2))
& v1_funct_1(U_1) )
& l1_orders_2(U_2)
& v3_lattice3(U_2)
& v2_lattice3(U_2)
& v1_lattice3(U_2)
& v4_orders_2(U_2)
& v3_orders_2(U_2)
& v2_orders_2(U_2) )
& l1_orders_2(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_1] :
( ? [U_0] :
( k7_yellow_2(u1_struct_0(sK2),sK1,k1_waybel34(sK1,sK2,U_1),U_0) != k2_yellow_0(sK1,k5_pre_topc(sK1,sK2,U_1,k7_waybel_0(sK2,U_0)))
& m1_subset_1(U_0,u1_struct_0(sK2)) )
& m2_relset_1(U_1,u1_struct_0(sK1),u1_struct_0(sK2))
& v17_waybel_0(U_1,sK1,sK2)
& v1_funct_2(U_1,u1_struct_0(sK1),u1_struct_0(sK2))
& v1_funct_1(U_1) )
& l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2)
& l1_orders_2(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_0] :
( k7_yellow_2(u1_struct_0(sK2),sK1,k1_waybel34(sK1,sK2,sK3),U_0) != k2_yellow_0(sK1,k5_pre_topc(sK1,sK2,sK3,k7_waybel_0(sK2,U_0)))
& m1_subset_1(U_0,u1_struct_0(sK2)) )
& m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v17_waybel_0(sK3,sK1,sK2)
& v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v1_funct_1(sK3)
& l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2)
& l1_orders_2(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_1,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( k7_yellow_2(u1_struct_0(sK2),sK1,k1_waybel34(sK1,sK2,sK3),sK4) != k2_yellow_0(sK1,k5_pre_topc(sK1,sK2,sK3,k7_waybel_0(sK2,sK4)))
& m1_subset_1(sK4,u1_struct_0(sK2))
& m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v17_waybel_0(sK3,sK1,sK2)
& v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2))
& v1_funct_1(sK3)
& l1_orders_2(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2)
& l1_orders_2(sK1)
& v3_lattice3(sK1)
& v2_lattice3(sK1)
& v1_lattice3(sK1)
& v4_orders_2(sK1)
& v3_orders_2(sK1)
& v2_orders_2(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_0,sK4)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
v2_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
v3_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
v4_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
v1_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_12,negated_conjecture,
v2_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_13,negated_conjecture,
v3_lattice3(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_14,negated_conjecture,
l1_orders_2(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_15,negated_conjecture,
v2_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_16,negated_conjecture,
v3_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_17,negated_conjecture,
v4_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_18,negated_conjecture,
v1_lattice3(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_19,negated_conjecture,
v2_lattice3(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_20,negated_conjecture,
v3_lattice3(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_21,negated_conjecture,
l1_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_22,negated_conjecture,
v1_funct_1(sK3),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_23,negated_conjecture,
v1_funct_2(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_24,negated_conjecture,
v17_waybel_0(sK3,sK1,sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_25,negated_conjecture,
m2_relset_1(sK3,u1_struct_0(sK1),u1_struct_0(sK2)),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_26,negated_conjecture,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_27,negated_conjecture,
k7_yellow_2(u1_struct_0(sK2),sK1,k1_waybel34(sK1,sK2,sK3),sK4) != k2_yellow_0(sK1,k5_pre_topc(sK1,sK2,sK3,k7_waybel_0(sK2,sK4))),
inference(clausify,[status(thm)],[f_1_7]) ).
fof(f_2_1,plain,
! [A,B] :
( ~ r2_hidden(B,A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_2_2,plain,
! [U_5,U_4] :
( ~ r2_hidden(U_4,U_5)
| ~ r2_hidden(U_5,U_4) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( ~ r2_hidden(U_4,U_5)
| ~ r2_hidden(U_5,U_4) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_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_3_2,plain,
! [U_7] :
( ! [U_6] :
( v1_xcmplx_0(U_6)
| ~ m1_subset_1(U_6,U_7) )
| ~ v1_membered(U_7) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( v1_xcmplx_0(U_6)
| ~ m1_subset_1(U_6,U_7)
| ~ v1_membered(U_7) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_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_4_2,plain,
! [U_8] :
( ( v25_waybel_0(U_8)
& v24_waybel_0(U_8)
& v2_orders_2(U_8)
& ~ v3_struct_0(U_8) )
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( ~ v3_struct_0(U_8)
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( v2_orders_2(U_8)
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_5,plain,
( v24_waybel_0(U_8)
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_6,plain,
( v25_waybel_0(U_8)
| ~ v3_lattice3(U_8)
| ~ v2_orders_2(U_8)
| v3_struct_0(U_8)
| ~ l1_orders_2(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_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_5_2,plain,
! [U_10] :
( ! [U_9] :
( ( v1_xreal_0(U_9)
& v1_xcmplx_0(U_9) )
| ~ m1_subset_1(U_9,U_10) )
| ~ v2_membered(U_10) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( v1_xcmplx_0(U_9)
| ~ m1_subset_1(U_9,U_10)
| ~ v2_membered(U_10) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(f_5_4,plain,
( v1_xreal_0(U_9)
| ~ m1_subset_1(U_9,U_10)
| ~ v2_membered(U_10) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_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_6_2,plain,
! [U_11] :
( ( v1_yellow_0(U_11)
& v2_orders_2(U_11)
& ~ v3_struct_0(U_11) )
| ~ v25_waybel_0(U_11)
| ~ v2_orders_2(U_11)
| v3_struct_0(U_11)
| ~ l1_orders_2(U_11) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( ~ v3_struct_0(U_11)
| ~ v25_waybel_0(U_11)
| ~ v2_orders_2(U_11)
| v3_struct_0(U_11)
| ~ l1_orders_2(U_11) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( v2_orders_2(U_11)
| ~ v25_waybel_0(U_11)
| ~ v2_orders_2(U_11)
| v3_struct_0(U_11)
| ~ l1_orders_2(U_11) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_5,plain,
( v1_yellow_0(U_11)
| ~ v25_waybel_0(U_11)
| ~ v2_orders_2(U_11)
| v3_struct_0(U_11)
| ~ l1_orders_2(U_11) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_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_7_2,plain,
! [U_13] :
( ! [U_12] :
( ( v1_rat_1(U_12)
& v1_xreal_0(U_12)
& v1_xcmplx_0(U_12) )
| ~ m1_subset_1(U_12,U_13) )
| ~ v3_membered(U_13) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( v1_xcmplx_0(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v3_membered(U_13) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( v1_xreal_0(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v3_membered(U_13) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_5,plain,
( v1_rat_1(U_12)
| ~ m1_subset_1(U_12,U_13)
| ~ v3_membered(U_13) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_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_8_2,plain,
! [U_14] :
( ( v3_yellow_0(U_14)
& v2_yellow_0(U_14)
& v1_yellow_0(U_14)
& v3_lattice3(U_14)
& v2_lattice3(U_14)
& v1_lattice3(U_14)
& v4_orders_2(U_14)
& v3_orders_2(U_14)
& v2_orders_2(U_14)
& ~ v3_struct_0(U_14) )
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( ~ v3_struct_0(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( v2_orders_2(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_5,plain,
( v3_orders_2(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_6,plain,
( v4_orders_2(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_7,plain,
( v1_lattice3(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_8,plain,
( v2_lattice3(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_9,plain,
( v3_lattice3(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_10,plain,
( v1_yellow_0(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_11,plain,
( v2_yellow_0(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_12,plain,
( v3_yellow_0(U_14)
| ~ v24_waybel_0(U_14)
| ~ v1_yellow_0(U_14)
| ~ v1_lattice3(U_14)
| ~ v4_orders_2(U_14)
| ~ v3_orders_2(U_14)
| ~ v2_orders_2(U_14)
| v3_struct_0(U_14)
| ~ l1_orders_2(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_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_9_2,plain,
! [U_16] :
( ! [U_15] :
( ( v1_rat_1(U_15)
& v1_int_1(U_15)
& v1_xreal_0(U_15)
& v1_xcmplx_0(U_15) )
| ~ m1_subset_1(U_15,U_16) )
| ~ v4_membered(U_16) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( v1_xcmplx_0(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v4_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( v1_xreal_0(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v4_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_5,plain,
( v1_int_1(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v4_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_6,plain,
( v1_rat_1(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v4_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_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_10_2,plain,
! [U_17] :
( ( v2_lattice3(U_17)
& v4_orders_2(U_17)
& v2_orders_2(U_17)
& ~ v3_struct_0(U_17) )
| ~ v25_waybel_0(U_17)
| ~ v4_orders_2(U_17)
| ~ v2_orders_2(U_17)
| v3_struct_0(U_17)
| ~ l1_orders_2(U_17) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( ~ v3_struct_0(U_17)
| ~ v25_waybel_0(U_17)
| ~ v4_orders_2(U_17)
| ~ v2_orders_2(U_17)
| v3_struct_0(U_17)
| ~ l1_orders_2(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( v2_orders_2(U_17)
| ~ v25_waybel_0(U_17)
| ~ v4_orders_2(U_17)
| ~ v2_orders_2(U_17)
| v3_struct_0(U_17)
| ~ l1_orders_2(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_5,plain,
( v4_orders_2(U_17)
| ~ v25_waybel_0(U_17)
| ~ v4_orders_2(U_17)
| ~ v2_orders_2(U_17)
| v3_struct_0(U_17)
| ~ l1_orders_2(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_6,plain,
( v2_lattice3(U_17)
| ~ v25_waybel_0(U_17)
| ~ v4_orders_2(U_17)
| ~ v2_orders_2(U_17)
| v3_struct_0(U_17)
| ~ l1_orders_2(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v4_ordinal2(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc14_membered]) ).
fof(f_11_2,plain,
! [U_19] :
( ! [U_18] :
( ( v1_rat_1(U_18)
& v1_int_1(U_18)
& v1_xreal_0(U_18)
& v4_ordinal2(U_18)
& v1_xcmplx_0(U_18) )
| ~ m1_subset_1(U_18,U_19) )
| ~ v5_membered(U_19) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( v1_xcmplx_0(U_18)
| ~ m1_subset_1(U_18,U_19)
| ~ v5_membered(U_19) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( v4_ordinal2(U_18)
| ~ m1_subset_1(U_18,U_19)
| ~ v5_membered(U_19) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_5,plain,
( v1_xreal_0(U_18)
| ~ m1_subset_1(U_18,U_19)
| ~ v5_membered(U_19) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_6,plain,
( v1_int_1(U_18)
| ~ m1_subset_1(U_18,U_19)
| ~ v5_membered(U_19) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_7,plain,
( v1_rat_1(U_18)
| ~ m1_subset_1(U_18,U_19)
| ~ v5_membered(U_19) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_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_12_2,plain,
! [U_20] :
( ( v2_yellow_0(U_20)
& v1_lattice3(U_20)
& v4_orders_2(U_20)
& v2_orders_2(U_20)
& ~ v3_struct_0(U_20) )
| ~ v25_waybel_0(U_20)
| ~ v2_yellow_0(U_20)
| ~ v4_orders_2(U_20)
| ~ v2_orders_2(U_20)
| v3_struct_0(U_20)
| ~ l1_orders_2(U_20) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( ~ v3_struct_0(U_20)
| ~ v25_waybel_0(U_20)
| ~ v2_yellow_0(U_20)
| ~ v4_orders_2(U_20)
| ~ v2_orders_2(U_20)
| v3_struct_0(U_20)
| ~ l1_orders_2(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( v2_orders_2(U_20)
| ~ v25_waybel_0(U_20)
| ~ v2_yellow_0(U_20)
| ~ v4_orders_2(U_20)
| ~ v2_orders_2(U_20)
| v3_struct_0(U_20)
| ~ l1_orders_2(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_5,plain,
( v4_orders_2(U_20)
| ~ v25_waybel_0(U_20)
| ~ v2_yellow_0(U_20)
| ~ v4_orders_2(U_20)
| ~ v2_orders_2(U_20)
| v3_struct_0(U_20)
| ~ l1_orders_2(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_6,plain,
( v1_lattice3(U_20)
| ~ v25_waybel_0(U_20)
| ~ v2_yellow_0(U_20)
| ~ v4_orders_2(U_20)
| ~ v2_orders_2(U_20)
| v3_struct_0(U_20)
| ~ l1_orders_2(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_7,plain,
( v2_yellow_0(U_20)
| ~ v25_waybel_0(U_20)
| ~ v2_yellow_0(U_20)
| ~ v4_orders_2(U_20)
| ~ v2_orders_2(U_20)
| v3_struct_0(U_20)
| ~ l1_orders_2(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_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_13_2,plain,
! [U_21] :
( ( v5_membered(U_21)
& v4_membered(U_21)
& v3_membered(U_21)
& v2_membered(U_21)
& v1_membered(U_21) )
| ~ v1_xboole_0(U_21) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( v1_membered(U_21)
| ~ v1_xboole_0(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( v2_membered(U_21)
| ~ v1_xboole_0(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_5,plain,
( v3_membered(U_21)
| ~ v1_xboole_0(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_6,plain,
( v4_membered(U_21)
| ~ v1_xboole_0(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_7,plain,
( v5_membered(U_21)
| ~ v1_xboole_0(U_21) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_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_14_2,plain,
! [U_23] :
( ! [U_22] :
( v1_membered(U_22)
| ~ m1_subset_1(U_22,k1_zfmisc_1(U_23)) )
| ~ v1_membered(U_23) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( v1_membered(U_22)
| ~ m1_subset_1(U_22,k1_zfmisc_1(U_23))
| ~ v1_membered(U_23) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_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_15_2,plain,
! [U_25] :
( ! [U_24] :
( ( v2_membered(U_24)
& v1_membered(U_24) )
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25)) )
| ~ v2_membered(U_25) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( v1_membered(U_24)
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25))
| ~ v2_membered(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_4,plain,
( v2_membered(U_24)
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25))
| ~ v2_membered(U_25) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_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_16_2,plain,
! [U_27] :
( ! [U_26] :
( ( v3_membered(U_26)
& v2_membered(U_26)
& v1_membered(U_26) )
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27)) )
| ~ v3_membered(U_27) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( v1_membered(U_26)
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27))
| ~ v3_membered(U_27) ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_4,plain,
( v2_membered(U_26)
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27))
| ~ v3_membered(U_27) ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_5,plain,
( v3_membered(U_26)
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27))
| ~ v3_membered(U_27) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_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_17_2,plain,
! [U_29] :
( ! [U_28] :
( ( v4_membered(U_28)
& v3_membered(U_28)
& v2_membered(U_28)
& v1_membered(U_28) )
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29)) )
| ~ v4_membered(U_29) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( v1_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v4_membered(U_29) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( v2_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v4_membered(U_29) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_5,plain,
( v3_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v4_membered(U_29) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_6,plain,
( v4_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v4_membered(U_29) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [A] :
( v1_finset_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_finset_1]) ).
fof(f_18_2,plain,
! [U_30] :
( v1_finset_1(U_30)
| ~ v1_xboole_0(U_30) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( v1_finset_1(U_30)
| ~ v1_xboole_0(U_30) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [A] :
( v1_funct_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_funct_1]) ).
fof(f_19_2,plain,
! [U_31] :
( v1_funct_1(U_31)
| ~ v1_xboole_0(U_31) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( v1_funct_1(U_31)
| ~ v1_xboole_0(U_31) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v1_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc1_lattice3]) ).
fof(f_20_2,plain,
! [U_32] :
( ~ v3_struct_0(U_32)
| ~ v1_lattice3(U_32)
| ~ l1_orders_2(U_32) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( ~ v3_struct_0(U_32)
| ~ v1_lattice3(U_32)
| ~ l1_orders_2(U_32) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [A] :
( v4_membered(A)
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc1_membered]) ).
fof(f_21_2,plain,
! [U_33] :
( v4_membered(U_33)
| ~ v5_membered(U_33) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( v4_membered(U_33)
| ~ v5_membered(U_33) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_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_22_2,plain,
! [U_36,U_35,U_34] :
( v1_relat_1(U_34)
| ~ m1_subset_1(U_34,k1_zfmisc_1(k2_zfmisc_1(U_36,U_35))) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( v1_relat_1(U_34)
| ~ m1_subset_1(U_34,k1_zfmisc_1(k2_zfmisc_1(U_36,U_35))) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [A] :
( ! [B] :
( ~ v1_xboole_0(B)
| ~ m1_subset_1(B,A) )
| ~ v1_setfam_1(A)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_setfam_1]) ).
fof(f_23_2,plain,
! [U_38] :
( ! [U_37] :
( ~ v1_xboole_0(U_37)
| ~ m1_subset_1(U_37,U_38) )
| ~ v1_setfam_1(U_38)
| v1_xboole_0(U_38) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( ~ v1_xboole_0(U_37)
| ~ m1_subset_1(U_37,U_38)
| ~ v1_setfam_1(U_38)
| v1_xboole_0(U_38) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_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_24_2,plain,
! [U_41,U_40] :
( ! [U_39] :
( ( v1_partfun1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
& v5_orders_3(U_39,U_41,U_40)
& v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
& v1_funct_1(U_39)
& ~ v1_xboole_0(U_39) )
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40)) )
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( ~ v1_xboole_0(U_39)
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( v1_funct_1(U_39)
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_5,plain,
( v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_6,plain,
( v5_orders_3(U_39,U_41,U_40)
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_7,plain,
( v1_partfun1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v22_waybel_0(U_39,U_41,U_40)
| ~ v1_funct_2(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ v1_funct_1(U_39)
| ~ m1_relset_1(U_39,u1_struct_0(U_41),u1_struct_0(U_40))
| ~ l1_orders_2(U_40)
| ~ v4_orders_2(U_40)
| ~ v2_orders_2(U_40)
| v3_struct_0(U_40)
| ~ l1_orders_2(U_41)
| ~ v4_orders_2(U_41)
| ~ v2_orders_2(U_41)
| v3_struct_0(U_41) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_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_25_2,plain,
! [U_44,U_43] :
( ! [U_42] :
( ( v5_orders_3(U_42,U_44,U_43)
& v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
& v1_funct_1(U_42) )
| ~ v19_waybel_0(U_42,U_44,U_43)
| ~ v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v1_funct_1(U_42)
| ~ m1_relset_1(U_42,u1_struct_0(U_44),u1_struct_0(U_43)) )
| ~ l1_orders_2(U_43)
| ~ v2_lattice3(U_43)
| ~ v4_orders_2(U_43)
| ~ v3_orders_2(U_43)
| ~ v2_orders_2(U_43)
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( v1_funct_1(U_42)
| ~ v19_waybel_0(U_42,U_44,U_43)
| ~ v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v1_funct_1(U_42)
| ~ m1_relset_1(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ l1_orders_2(U_43)
| ~ v2_lattice3(U_43)
| ~ v4_orders_2(U_43)
| ~ v3_orders_2(U_43)
| ~ v2_orders_2(U_43)
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_4,plain,
( v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v19_waybel_0(U_42,U_44,U_43)
| ~ v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v1_funct_1(U_42)
| ~ m1_relset_1(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ l1_orders_2(U_43)
| ~ v2_lattice3(U_43)
| ~ v4_orders_2(U_43)
| ~ v3_orders_2(U_43)
| ~ v2_orders_2(U_43)
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_5,plain,
( v5_orders_3(U_42,U_44,U_43)
| ~ v19_waybel_0(U_42,U_44,U_43)
| ~ v1_funct_2(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ v1_funct_1(U_42)
| ~ m1_relset_1(U_42,u1_struct_0(U_44),u1_struct_0(U_43))
| ~ l1_orders_2(U_43)
| ~ v2_lattice3(U_43)
| ~ v4_orders_2(U_43)
| ~ v3_orders_2(U_43)
| ~ v2_orders_2(U_43)
| ~ l1_orders_2(U_44)
| ~ v2_lattice3(U_44)
| ~ v4_orders_2(U_44)
| ~ v3_orders_2(U_44)
| ~ v2_orders_2(U_44) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_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_26_2,plain,
! [U_45] :
( ( v2_lattice3(U_45)
& v1_lattice3(U_45)
& ~ v3_struct_0(U_45) )
| ~ v3_lattice3(U_45)
| v3_struct_0(U_45)
| ~ l1_orders_2(U_45) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( ~ v3_struct_0(U_45)
| ~ v3_lattice3(U_45)
| v3_struct_0(U_45)
| ~ l1_orders_2(U_45) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_4,plain,
( v1_lattice3(U_45)
| ~ v3_lattice3(U_45)
| v3_struct_0(U_45)
| ~ l1_orders_2(U_45) ),
inference(clausify,[status(thm)],[f_26_2]) ).
cnf(f_26_5,plain,
( v2_lattice3(U_45)
| ~ v3_lattice3(U_45)
| v3_struct_0(U_45)
| ~ l1_orders_2(U_45) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_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_27_2,plain,
! [U_46] :
( ( v3_lattice3(U_46)
& v2_lattice3(U_46)
& v1_lattice3(U_46)
& v25_waybel_0(U_46)
& v24_waybel_0(U_46)
& v3_yellow_0(U_46)
& v2_yellow_0(U_46)
& v1_yellow_0(U_46)
& v4_orders_2(U_46)
& v3_orders_2(U_46)
& v2_orders_2(U_46)
& ~ v3_struct_0(U_46) )
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( ~ v3_struct_0(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_4,plain,
( v2_orders_2(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_5,plain,
( v3_orders_2(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_6,plain,
( v4_orders_2(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_7,plain,
( v1_yellow_0(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_8,plain,
( v2_yellow_0(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_9,plain,
( v3_yellow_0(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_10,plain,
( v24_waybel_0(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_11,plain,
( v25_waybel_0(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_12,plain,
( v1_lattice3(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_13,plain,
( v2_lattice3(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_14,plain,
( v3_lattice3(U_46)
| ~ v25_waybel_0(U_46)
| ~ v24_waybel_0(U_46)
| ~ v2_yellow_0(U_46)
| ~ v4_orders_2(U_46)
| ~ v3_orders_2(U_46)
| ~ v2_orders_2(U_46)
| v3_struct_0(U_46)
| ~ l1_orders_2(U_46) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_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_28_2,plain,
! [U_48] :
( ! [U_47] :
( ( v5_membered(U_47)
& v4_membered(U_47)
& v3_membered(U_47)
& v2_membered(U_47)
& v1_membered(U_47) )
| ~ m1_subset_1(U_47,k1_zfmisc_1(U_48)) )
| ~ v5_membered(U_48) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( v1_membered(U_47)
| ~ m1_subset_1(U_47,k1_zfmisc_1(U_48))
| ~ v5_membered(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_4,plain,
( v2_membered(U_47)
| ~ m1_subset_1(U_47,k1_zfmisc_1(U_48))
| ~ v5_membered(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_5,plain,
( v3_membered(U_47)
| ~ m1_subset_1(U_47,k1_zfmisc_1(U_48))
| ~ v5_membered(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_6,plain,
( v4_membered(U_47)
| ~ m1_subset_1(U_47,k1_zfmisc_1(U_48))
| ~ v5_membered(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_7,plain,
( v5_membered(U_47)
| ~ m1_subset_1(U_47,k1_zfmisc_1(U_48))
| ~ v5_membered(U_48) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_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_29_2,plain,
! [U_50] :
( ! [U_49] :
( v1_finset_1(U_49)
| ~ m1_subset_1(U_49,k1_zfmisc_1(U_50)) )
| ~ v1_finset_1(U_50) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( v1_finset_1(U_49)
| ~ m1_subset_1(U_49,k1_zfmisc_1(U_50))
| ~ v1_finset_1(U_50) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_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_30_2,plain,
! [U_51] :
( ( v2_funct_1(U_51)
& v1_funct_1(U_51)
& v1_relat_1(U_51) )
| ~ v1_funct_1(U_51)
| ~ v1_xboole_0(U_51)
| ~ v1_relat_1(U_51) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( v1_relat_1(U_51)
| ~ v1_funct_1(U_51)
| ~ v1_xboole_0(U_51)
| ~ v1_relat_1(U_51) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_4,plain,
( v1_funct_1(U_51)
| ~ v1_funct_1(U_51)
| ~ v1_xboole_0(U_51)
| ~ v1_relat_1(U_51) ),
inference(clausify,[status(thm)],[f_30_2]) ).
cnf(f_30_5,plain,
( v2_funct_1(U_51)
| ~ v1_funct_1(U_51)
| ~ v1_xboole_0(U_51)
| ~ v1_relat_1(U_51) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc2_lattice3]) ).
fof(f_31_2,plain,
! [U_52] :
( ~ v3_struct_0(U_52)
| ~ v2_lattice3(U_52)
| ~ l1_orders_2(U_52) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( ~ v3_struct_0(U_52)
| ~ v2_lattice3(U_52)
| ~ l1_orders_2(U_52) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [A] :
( v3_membered(A)
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc2_membered]) ).
fof(f_32_2,plain,
! [U_53] :
( v3_membered(U_53)
| ~ v4_membered(U_53) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( v3_membered(U_53)
| ~ v4_membered(U_53) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_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_33_2,plain,
! [U_56,U_55] :
( ! [U_54] :
( ( v22_waybel_0(U_54,U_56,U_55)
& v20_waybel_0(U_54,U_56,U_55)
& v18_waybel_0(U_54,U_56,U_55)
& v1_partfun1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
& v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
& ~ v1_xboole_0(U_54)
& v1_funct_1(U_54) )
| ~ v5_waybel_1(U_54,U_55,U_56)
| ~ v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v1_funct_1(U_54)
| ~ m1_relset_1(U_54,u1_struct_0(U_56),u1_struct_0(U_55)) )
| ~ l1_orders_2(U_55)
| ~ v4_orders_2(U_55)
| ~ v3_orders_2(U_55)
| ~ v2_orders_2(U_55)
| v3_struct_0(U_55)
| ~ l1_orders_2(U_56)
| ~ v4_orders_2(U_56)
| ~ v3_orders_2(U_56)
| ~ v2_orders_2(U_56)
| v3_struct_0(U_56) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( v1_funct_1(U_54)
| ~ v5_waybel_1(U_54,U_55,U_56)
| ~ v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v1_funct_1(U_54)
| ~ m1_relset_1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ l1_orders_2(U_55)
| ~ v4_orders_2(U_55)
| ~ v3_orders_2(U_55)
| ~ v2_orders_2(U_55)
| v3_struct_0(U_55)
| ~ l1_orders_2(U_56)
| ~ v4_orders_2(U_56)
| ~ v3_orders_2(U_56)
| ~ v2_orders_2(U_56)
| v3_struct_0(U_56) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( ~ v1_xboole_0(U_54)
| ~ v5_waybel_1(U_54,U_55,U_56)
| ~ v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v1_funct_1(U_54)
| ~ m1_relset_1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ l1_orders_2(U_55)
| ~ v4_orders_2(U_55)
| ~ v3_orders_2(U_55)
| ~ v2_orders_2(U_55)
| v3_struct_0(U_55)
| ~ l1_orders_2(U_56)
| ~ v4_orders_2(U_56)
| ~ v3_orders_2(U_56)
| ~ v2_orders_2(U_56)
| v3_struct_0(U_56) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_5,plain,
( v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v5_waybel_1(U_54,U_55,U_56)
| ~ v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v1_funct_1(U_54)
| ~ m1_relset_1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ l1_orders_2(U_55)
| ~ v4_orders_2(U_55)
| ~ v3_orders_2(U_55)
| ~ v2_orders_2(U_55)
| v3_struct_0(U_55)
| ~ l1_orders_2(U_56)
| ~ v4_orders_2(U_56)
| ~ v3_orders_2(U_56)
| ~ v2_orders_2(U_56)
| v3_struct_0(U_56) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_6,plain,
( v1_partfun1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v5_waybel_1(U_54,U_55,U_56)
| ~ v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v1_funct_1(U_54)
| ~ m1_relset_1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ l1_orders_2(U_55)
| ~ v4_orders_2(U_55)
| ~ v3_orders_2(U_55)
| ~ v2_orders_2(U_55)
| v3_struct_0(U_55)
| ~ l1_orders_2(U_56)
| ~ v4_orders_2(U_56)
| ~ v3_orders_2(U_56)
| ~ v2_orders_2(U_56)
| v3_struct_0(U_56) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_7,plain,
( v18_waybel_0(U_54,U_56,U_55)
| ~ v5_waybel_1(U_54,U_55,U_56)
| ~ v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v1_funct_1(U_54)
| ~ m1_relset_1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ l1_orders_2(U_55)
| ~ v4_orders_2(U_55)
| ~ v3_orders_2(U_55)
| ~ v2_orders_2(U_55)
| v3_struct_0(U_55)
| ~ l1_orders_2(U_56)
| ~ v4_orders_2(U_56)
| ~ v3_orders_2(U_56)
| ~ v2_orders_2(U_56)
| v3_struct_0(U_56) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_8,plain,
( v20_waybel_0(U_54,U_56,U_55)
| ~ v5_waybel_1(U_54,U_55,U_56)
| ~ v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v1_funct_1(U_54)
| ~ m1_relset_1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ l1_orders_2(U_55)
| ~ v4_orders_2(U_55)
| ~ v3_orders_2(U_55)
| ~ v2_orders_2(U_55)
| v3_struct_0(U_55)
| ~ l1_orders_2(U_56)
| ~ v4_orders_2(U_56)
| ~ v3_orders_2(U_56)
| ~ v2_orders_2(U_56)
| v3_struct_0(U_56) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_9,plain,
( v22_waybel_0(U_54,U_56,U_55)
| ~ v5_waybel_1(U_54,U_55,U_56)
| ~ v1_funct_2(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ v1_funct_1(U_54)
| ~ m1_relset_1(U_54,u1_struct_0(U_56),u1_struct_0(U_55))
| ~ l1_orders_2(U_55)
| ~ v4_orders_2(U_55)
| ~ v3_orders_2(U_55)
| ~ v2_orders_2(U_55)
| v3_struct_0(U_55)
| ~ l1_orders_2(U_56)
| ~ v4_orders_2(U_56)
| ~ v3_orders_2(U_56)
| ~ v2_orders_2(U_56)
| v3_struct_0(U_56) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [A] :
( v2_membered(A)
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc3_membered]) ).
fof(f_34_2,plain,
! [U_57] :
( v2_membered(U_57)
| ~ v3_membered(U_57) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( v2_membered(U_57)
| ~ v3_membered(U_57) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_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_35_2,plain,
! [U_58] :
( ( v3_yellow_0(U_58)
& ~ v3_struct_0(U_58) )
| ~ v3_lattice3(U_58)
| v3_struct_0(U_58)
| ~ l1_orders_2(U_58) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( ~ v3_struct_0(U_58)
| ~ v3_lattice3(U_58)
| v3_struct_0(U_58)
| ~ l1_orders_2(U_58) ),
inference(clausify,[status(thm)],[f_35_2]) ).
cnf(f_35_4,plain,
( v3_yellow_0(U_58)
| ~ v3_lattice3(U_58)
| v3_struct_0(U_58)
| ~ l1_orders_2(U_58) ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
! [A] :
( v1_membered(A)
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc4_membered]) ).
fof(f_36_2,plain,
! [U_59] :
( v1_membered(U_59)
| ~ v2_membered(U_59) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( v1_membered(U_59)
| ~ v2_membered(U_59) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_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_37_2,plain,
! [U_60] :
( ( v2_yellow_0(U_60)
& v1_yellow_0(U_60) )
| ~ v3_yellow_0(U_60)
| ~ l1_orders_2(U_60) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( v1_yellow_0(U_60)
| ~ v3_yellow_0(U_60)
| ~ l1_orders_2(U_60) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_4,plain,
( v2_yellow_0(U_60)
| ~ v3_yellow_0(U_60)
| ~ l1_orders_2(U_60) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_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_38_2,plain,
! [U_61] :
( v3_yellow_0(U_61)
| ~ v2_yellow_0(U_61)
| ~ v1_yellow_0(U_61)
| ~ l1_orders_2(U_61) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( v3_yellow_0(U_61)
| ~ v2_yellow_0(U_61)
| ~ v1_yellow_0(U_61)
| ~ l1_orders_2(U_61) ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_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_39_2,plain,
! [U_64,U_63] :
( ! [U_62] :
( ( v21_waybel_0(U_62,U_64,U_63)
& v19_waybel_0(U_62,U_64,U_63)
& v1_funct_2(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
& v1_funct_1(U_62) )
| ~ v17_waybel_0(U_62,U_64,U_63)
| ~ 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)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_64)
| v3_struct_0(U_64) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
cnf(f_39_3,plain,
( v1_funct_1(U_62)
| ~ v17_waybel_0(U_62,U_64,U_63)
| ~ 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)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_39_2]) ).
cnf(f_39_4,plain,
( v1_funct_2(U_62,u1_struct_0(U_64),u1_struct_0(U_63))
| ~ v17_waybel_0(U_62,U_64,U_63)
| ~ 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)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_39_2]) ).
cnf(f_39_5,plain,
( v19_waybel_0(U_62,U_64,U_63)
| ~ v17_waybel_0(U_62,U_64,U_63)
| ~ 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)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_39_2]) ).
cnf(f_39_6,plain,
( v21_waybel_0(U_62,U_64,U_63)
| ~ v17_waybel_0(U_62,U_64,U_63)
| ~ 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)
| v3_struct_0(U_63)
| ~ l1_orders_2(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_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_40_2,plain,
! [U_67,U_66] :
( ! [U_65] :
( ( v22_waybel_0(U_65,U_67,U_66)
& v20_waybel_0(U_65,U_67,U_66)
& v1_funct_2(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
& v1_funct_1(U_65) )
| ~ v18_waybel_0(U_65,U_67,U_66)
| ~ v1_funct_2(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ v1_funct_1(U_65)
| ~ m1_relset_1(U_65,u1_struct_0(U_67),u1_struct_0(U_66)) )
| ~ l1_orders_2(U_66)
| v3_struct_0(U_66)
| ~ l1_orders_2(U_67)
| v3_struct_0(U_67) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
( v1_funct_1(U_65)
| ~ v18_waybel_0(U_65,U_67,U_66)
| ~ v1_funct_2(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ v1_funct_1(U_65)
| ~ m1_relset_1(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ l1_orders_2(U_66)
| v3_struct_0(U_66)
| ~ l1_orders_2(U_67)
| v3_struct_0(U_67) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_4,plain,
( v1_funct_2(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ v18_waybel_0(U_65,U_67,U_66)
| ~ v1_funct_2(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ v1_funct_1(U_65)
| ~ m1_relset_1(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ l1_orders_2(U_66)
| v3_struct_0(U_66)
| ~ l1_orders_2(U_67)
| v3_struct_0(U_67) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_5,plain,
( v20_waybel_0(U_65,U_67,U_66)
| ~ v18_waybel_0(U_65,U_67,U_66)
| ~ v1_funct_2(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ v1_funct_1(U_65)
| ~ m1_relset_1(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ l1_orders_2(U_66)
| v3_struct_0(U_66)
| ~ l1_orders_2(U_67)
| v3_struct_0(U_67) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_6,plain,
( v22_waybel_0(U_65,U_67,U_66)
| ~ v18_waybel_0(U_65,U_67,U_66)
| ~ v1_funct_2(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ v1_funct_1(U_65)
| ~ m1_relset_1(U_65,u1_struct_0(U_67),u1_struct_0(U_66))
| ~ l1_orders_2(U_66)
| v3_struct_0(U_66)
| ~ l1_orders_2(U_67)
| v3_struct_0(U_67) ),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_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_41_2,plain,
! [U_68] :
( ( v2_yellow_0(U_68)
& v1_lattice3(U_68)
& v2_orders_2(U_68)
& ~ v3_struct_0(U_68) )
| ~ v24_waybel_0(U_68)
| ~ v1_lattice3(U_68)
| ~ v2_orders_2(U_68)
| ~ l1_orders_2(U_68) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
( ~ v3_struct_0(U_68)
| ~ v24_waybel_0(U_68)
| ~ v1_lattice3(U_68)
| ~ v2_orders_2(U_68)
| ~ l1_orders_2(U_68) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_4,plain,
( v2_orders_2(U_68)
| ~ v24_waybel_0(U_68)
| ~ v1_lattice3(U_68)
| ~ v2_orders_2(U_68)
| ~ l1_orders_2(U_68) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_5,plain,
( v1_lattice3(U_68)
| ~ v24_waybel_0(U_68)
| ~ v1_lattice3(U_68)
| ~ v2_orders_2(U_68)
| ~ l1_orders_2(U_68) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_6,plain,
( v2_yellow_0(U_68)
| ~ v24_waybel_0(U_68)
| ~ v1_lattice3(U_68)
| ~ v2_orders_2(U_68)
| ~ l1_orders_2(U_68) ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
! [A,B] : k2_tarski(A,B) = k2_tarski(B,A),
inference(fof_nnf,[status(thm)],[commutativity_k2_tarski]) ).
fof(f_42_2,plain,
! [U_70,U_69] : k2_tarski(U_70,U_69) = k2_tarski(U_69,U_70),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
k2_tarski(U_70,U_69) = k2_tarski(U_69,U_70),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
! [A] :
( ! [B] :
( k7_waybel_0(A,B) = k5_waybel_0(A,k1_struct_0(A,B))
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d18_waybel_0]) ).
fof(f_43_2,plain,
! [U_72] :
( ! [U_71] :
( k7_waybel_0(U_72,U_71) = k5_waybel_0(U_72,k1_struct_0(U_72,U_71))
| ~ m1_subset_1(U_71,u1_struct_0(U_72)) )
| ~ l1_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
( k7_waybel_0(U_72,U_71) = k5_waybel_0(U_72,k1_struct_0(U_72,U_71))
| ~ m1_subset_1(U_71,u1_struct_0(U_72))
| ~ l1_orders_2(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( D = k1_waybel34(A,B,C)
| ~ v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) )
& ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
| D != k1_waybel34(A,B,C) ) )
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(D) )
| ~ v17_waybel_0(C,A,B)
| ~ v3_lattice3(B)
| ~ v3_lattice3(A)
| ~ 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)
| ~ 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)],[d1_waybel34]) ).
fof(f_44_2,plain,
! [U_76] :
( ! [U_75] :
( ! [U_74] :
( ! [U_73] :
( ( ( U_73 = k1_waybel34(U_76,U_75,U_74)
| ~ v3_waybel_1(k1_waybel_1(U_76,U_75,U_74,U_73),U_76,U_75) )
& ( v3_waybel_1(k1_waybel_1(U_76,U_75,U_74,U_73),U_76,U_75)
| U_73 != k1_waybel34(U_76,U_75,U_74) ) )
| ~ m2_relset_1(U_73,u1_struct_0(U_75),u1_struct_0(U_76))
| ~ v1_funct_2(U_73,u1_struct_0(U_75),u1_struct_0(U_76))
| ~ v1_funct_1(U_73) )
| ~ v17_waybel_0(U_74,U_76,U_75)
| ~ v3_lattice3(U_75)
| ~ v3_lattice3(U_76)
| ~ m2_relset_1(U_74,u1_struct_0(U_76),u1_struct_0(U_75))
| ~ v1_funct_2(U_74,u1_struct_0(U_76),u1_struct_0(U_75))
| ~ v1_funct_1(U_74) )
| ~ l1_orders_2(U_75)
| ~ v2_lattice3(U_75)
| ~ v1_lattice3(U_75)
| ~ v4_orders_2(U_75)
| ~ v3_orders_2(U_75)
| ~ v2_orders_2(U_75) )
| ~ l1_orders_2(U_76)
| ~ v2_lattice3(U_76)
| ~ v1_lattice3(U_76)
| ~ v4_orders_2(U_76)
| ~ v3_orders_2(U_76)
| ~ v2_orders_2(U_76) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
( v3_waybel_1(k1_waybel_1(U_76,U_75,U_74,U_73),U_76,U_75)
| U_73 != k1_waybel34(U_76,U_75,U_74)
| ~ m2_relset_1(U_73,u1_struct_0(U_75),u1_struct_0(U_76))
| ~ v1_funct_2(U_73,u1_struct_0(U_75),u1_struct_0(U_76))
| ~ v1_funct_1(U_73)
| ~ v17_waybel_0(U_74,U_76,U_75)
| ~ v3_lattice3(U_75)
| ~ v3_lattice3(U_76)
| ~ m2_relset_1(U_74,u1_struct_0(U_76),u1_struct_0(U_75))
| ~ v1_funct_2(U_74,u1_struct_0(U_76),u1_struct_0(U_75))
| ~ v1_funct_1(U_74)
| ~ l1_orders_2(U_75)
| ~ v2_lattice3(U_75)
| ~ v1_lattice3(U_75)
| ~ v4_orders_2(U_75)
| ~ v3_orders_2(U_75)
| ~ v2_orders_2(U_75)
| ~ l1_orders_2(U_76)
| ~ v2_lattice3(U_76)
| ~ v1_lattice3(U_76)
| ~ v4_orders_2(U_76)
| ~ v3_orders_2(U_76)
| ~ v2_orders_2(U_76) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_4,plain,
( U_73 = k1_waybel34(U_76,U_75,U_74)
| ~ v3_waybel_1(k1_waybel_1(U_76,U_75,U_74,U_73),U_76,U_75)
| ~ m2_relset_1(U_73,u1_struct_0(U_75),u1_struct_0(U_76))
| ~ v1_funct_2(U_73,u1_struct_0(U_75),u1_struct_0(U_76))
| ~ v1_funct_1(U_73)
| ~ v17_waybel_0(U_74,U_76,U_75)
| ~ v3_lattice3(U_75)
| ~ v3_lattice3(U_76)
| ~ m2_relset_1(U_74,u1_struct_0(U_76),u1_struct_0(U_75))
| ~ v1_funct_2(U_74,u1_struct_0(U_76),u1_struct_0(U_75))
| ~ v1_funct_1(U_74)
| ~ l1_orders_2(U_75)
| ~ v2_lattice3(U_75)
| ~ v1_lattice3(U_75)
| ~ v4_orders_2(U_75)
| ~ v3_orders_2(U_75)
| ~ v2_orders_2(U_75)
| ~ l1_orders_2(U_76)
| ~ v2_lattice3(U_76)
| ~ v1_lattice3(U_76)
| ~ v4_orders_2(U_76)
| ~ v3_orders_2(U_76)
| ~ v2_orders_2(U_76) ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)),
inference(fof_nnf,[status(thm)],[d5_tarski]) ).
fof(f_45_2,plain,
! [U_78,U_77] : k4_tarski(U_78,U_77) = k2_tarski(k2_tarski(U_78,U_77),k1_tarski(U_78)),
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
k4_tarski(U_78,U_77) = k2_tarski(k2_tarski(U_78,U_77),k1_tarski(U_78)),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( r3_waybel_1(A,B,C)
| ~ r2_hidden(k2_yellow_0(A,C),C)
| B != k2_yellow_0(A,C)
| ~ r2_yellow_0(A,C) )
& ( ( r2_hidden(k2_yellow_0(A,C),C)
& B = k2_yellow_0(A,C)
& r2_yellow_0(A,C) )
| ~ r3_waybel_1(A,B,C) ) )
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d6_waybel_1]) ).
fof(f_46_2,plain,
! [U_81] :
( ! [U_80] :
( ! [U_79] :
( ( r3_waybel_1(U_81,U_80,U_79)
| ~ r2_hidden(k2_yellow_0(U_81,U_79),U_79)
| U_80 != k2_yellow_0(U_81,U_79)
| ~ r2_yellow_0(U_81,U_79) )
& ( ( r2_hidden(k2_yellow_0(U_81,U_79),U_79)
& U_80 = k2_yellow_0(U_81,U_79)
& r2_yellow_0(U_81,U_79) )
| ~ r3_waybel_1(U_81,U_80,U_79) ) )
| ~ m1_subset_1(U_80,u1_struct_0(U_81)) )
| ~ l1_orders_2(U_81)
| v3_struct_0(U_81) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
! [U_81] :
( ! [U_80] :
( ( ! [U_83] :
( r3_waybel_1(U_81,U_80,U_83)
| ~ r2_hidden(k2_yellow_0(U_81,U_83),U_83)
| U_80 != k2_yellow_0(U_81,U_83)
| ~ r2_yellow_0(U_81,U_83) )
& ! [U_82] :
( ( r2_hidden(k2_yellow_0(U_81,U_82),U_82)
& U_80 = k2_yellow_0(U_81,U_82)
& r2_yellow_0(U_81,U_82) )
| ~ r3_waybel_1(U_81,U_80,U_82) ) )
| ~ m1_subset_1(U_80,u1_struct_0(U_81)) )
| ~ l1_orders_2(U_81)
| v3_struct_0(U_81) ),
inference(miniscope,[status(thm)],[f_46_2]) ).
cnf(f_46_4,plain,
( r2_yellow_0(U_81,U_82)
| ~ r3_waybel_1(U_81,U_80,U_82)
| ~ m1_subset_1(U_80,u1_struct_0(U_81))
| ~ l1_orders_2(U_81)
| v3_struct_0(U_81) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_5,plain,
( U_80 = k2_yellow_0(U_81,U_82)
| ~ r3_waybel_1(U_81,U_80,U_82)
| ~ m1_subset_1(U_80,u1_struct_0(U_81))
| ~ l1_orders_2(U_81)
| v3_struct_0(U_81) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_6,plain,
( r2_hidden(k2_yellow_0(U_81,U_82),U_82)
| ~ r3_waybel_1(U_81,U_80,U_82)
| ~ m1_subset_1(U_80,u1_struct_0(U_81))
| ~ l1_orders_2(U_81)
| v3_struct_0(U_81) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_7,plain,
( r3_waybel_1(U_81,U_80,U_83)
| ~ r2_hidden(k2_yellow_0(U_81,U_83),U_83)
| U_80 != k2_yellow_0(U_81,U_83)
| ~ r2_yellow_0(U_81,U_83)
| ~ m1_subset_1(U_80,u1_struct_0(U_81))
| ~ l1_orders_2(U_81)
| v3_struct_0(U_81) ),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k10_relat_1]) ).
cnf(f_47_2,plain,
$true,
inference(clausify,[status(thm)],[f_47_1]) ).
fof(f_48_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_funct_1]) ).
cnf(f_48_2,plain,
$true,
inference(clausify,[status(thm)],[f_48_1]) ).
fof(f_49_1,plain,
! [A,B] :
( m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_struct_0]) ).
fof(f_49_2,plain,
! [U_85,U_84] :
( m1_subset_1(k1_struct_0(U_85,U_84),k1_zfmisc_1(u1_struct_0(U_85)))
| ~ m1_subset_1(U_84,u1_struct_0(U_85))
| ~ l1_struct_0(U_85)
| v3_struct_0(U_85) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_3,plain,
( m1_subset_1(k1_struct_0(U_85,U_84),k1_zfmisc_1(u1_struct_0(U_85)))
| ~ m1_subset_1(U_84,u1_struct_0(U_85))
| ~ l1_struct_0(U_85)
| v3_struct_0(U_85) ),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_tarski]) ).
cnf(f_50_2,plain,
$true,
inference(clausify,[status(thm)],[f_50_1]) ).
fof(f_51_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_51_2,plain,
! [U_88,U_87,U_86] :
( ( m2_relset_1(k1_waybel34(U_88,U_87,U_86),u1_struct_0(U_87),u1_struct_0(U_88))
& v1_funct_2(k1_waybel34(U_88,U_87,U_86),u1_struct_0(U_87),u1_struct_0(U_88))
& v1_funct_1(k1_waybel34(U_88,U_87,U_86)) )
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ l1_orders_2(U_87)
| ~ v2_lattice3(U_87)
| ~ v1_lattice3(U_87)
| ~ v4_orders_2(U_87)
| ~ v3_orders_2(U_87)
| ~ v2_orders_2(U_87)
| ~ l1_orders_2(U_88)
| ~ v2_lattice3(U_88)
| ~ v1_lattice3(U_88)
| ~ v4_orders_2(U_88)
| ~ v3_orders_2(U_88)
| ~ v2_orders_2(U_88) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
cnf(f_51_3,plain,
( v1_funct_1(k1_waybel34(U_88,U_87,U_86))
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ l1_orders_2(U_87)
| ~ v2_lattice3(U_87)
| ~ v1_lattice3(U_87)
| ~ v4_orders_2(U_87)
| ~ v3_orders_2(U_87)
| ~ v2_orders_2(U_87)
| ~ l1_orders_2(U_88)
| ~ v2_lattice3(U_88)
| ~ v1_lattice3(U_88)
| ~ v4_orders_2(U_88)
| ~ v3_orders_2(U_88)
| ~ v2_orders_2(U_88) ),
inference(clausify,[status(thm)],[f_51_2]) ).
cnf(f_51_4,plain,
( v1_funct_2(k1_waybel34(U_88,U_87,U_86),u1_struct_0(U_87),u1_struct_0(U_88))
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ l1_orders_2(U_87)
| ~ v2_lattice3(U_87)
| ~ v1_lattice3(U_87)
| ~ v4_orders_2(U_87)
| ~ v3_orders_2(U_87)
| ~ v2_orders_2(U_87)
| ~ l1_orders_2(U_88)
| ~ v2_lattice3(U_88)
| ~ v1_lattice3(U_88)
| ~ v4_orders_2(U_88)
| ~ v3_orders_2(U_88)
| ~ v2_orders_2(U_88) ),
inference(clausify,[status(thm)],[f_51_2]) ).
cnf(f_51_5,plain,
( m2_relset_1(k1_waybel34(U_88,U_87,U_86),u1_struct_0(U_87),u1_struct_0(U_88))
| ~ m1_relset_1(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_2(U_86,u1_struct_0(U_88),u1_struct_0(U_87))
| ~ v1_funct_1(U_86)
| ~ l1_orders_2(U_87)
| ~ v2_lattice3(U_87)
| ~ v1_lattice3(U_87)
| ~ v4_orders_2(U_87)
| ~ v3_orders_2(U_87)
| ~ v2_orders_2(U_87)
| ~ l1_orders_2(U_88)
| ~ v2_lattice3(U_88)
| ~ v1_lattice3(U_88)
| ~ v4_orders_2(U_88)
| ~ v3_orders_2(U_88)
| ~ v2_orders_2(U_88) ),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
! [A,B,C,D] :
( m1_waybel_1(k1_waybel_1(A,B,C,D),A,B)
| ~ m1_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(D)
| ~ 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)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_waybel_1]) ).
fof(f_52_2,plain,
! [U_92,U_91,U_90,U_89] :
( m1_waybel_1(k1_waybel_1(U_92,U_91,U_90,U_89),U_92,U_91)
| ~ m1_relset_1(U_89,u1_struct_0(U_91),u1_struct_0(U_92))
| ~ v1_funct_2(U_89,u1_struct_0(U_91),u1_struct_0(U_92))
| ~ v1_funct_1(U_89)
| ~ m1_relset_1(U_90,u1_struct_0(U_92),u1_struct_0(U_91))
| ~ v1_funct_2(U_90,u1_struct_0(U_92),u1_struct_0(U_91))
| ~ v1_funct_1(U_90)
| ~ l1_orders_2(U_91)
| ~ l1_orders_2(U_92) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
cnf(f_52_3,plain,
( m1_waybel_1(k1_waybel_1(U_92,U_91,U_90,U_89),U_92,U_91)
| ~ m1_relset_1(U_89,u1_struct_0(U_91),u1_struct_0(U_92))
| ~ v1_funct_2(U_89,u1_struct_0(U_91),u1_struct_0(U_92))
| ~ v1_funct_1(U_89)
| ~ m1_relset_1(U_90,u1_struct_0(U_92),u1_struct_0(U_91))
| ~ v1_funct_2(U_90,u1_struct_0(U_92),u1_struct_0(U_91))
| ~ v1_funct_1(U_90)
| ~ l1_orders_2(U_91)
| ~ l1_orders_2(U_92) ),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
cnf(f_53_2,plain,
$true,
inference(clausify,[status(thm)],[f_53_1]) ).
fof(f_54_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
cnf(f_54_2,plain,
$true,
inference(clausify,[status(thm)],[f_54_1]) ).
fof(f_55_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_tarski]) ).
cnf(f_55_2,plain,
$true,
inference(clausify,[status(thm)],[f_55_1]) ).
fof(f_56_1,plain,
! [A,B] :
( m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A))
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_k2_yellow_0]) ).
fof(f_56_2,plain,
! [U_94,U_93] :
( m1_subset_1(k2_yellow_0(U_94,U_93),u1_struct_0(U_94))
| ~ l1_orders_2(U_94) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
! [U_94] :
( ! [U_93] : m1_subset_1(k2_yellow_0(U_94,U_93),u1_struct_0(U_94))
| ~ l1_orders_2(U_94) ),
inference(miniscope,[status(thm)],[f_56_2]) ).
cnf(f_56_4,plain,
( m1_subset_1(k2_yellow_0(U_94,U_93),u1_struct_0(U_94))
| ~ l1_orders_2(U_94) ),
inference(clausify,[status(thm)],[f_56_3]) ).
fof(f_57_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_zfmisc_1]) ).
cnf(f_57_2,plain,
$true,
inference(clausify,[status(thm)],[f_57_1]) ).
fof(f_58_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k4_tarski]) ).
cnf(f_58_2,plain,
$true,
inference(clausify,[status(thm)],[f_58_1]) ).
fof(f_59_1,plain,
! [A,B,C,D] :
( m1_subset_1(k5_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(A)))
| ~ 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_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_pre_topc]) ).
fof(f_59_2,plain,
! [U_98,U_97,U_96,U_95] :
( m1_subset_1(k5_pre_topc(U_98,U_97,U_96,U_95),k1_zfmisc_1(u1_struct_0(U_98)))
| ~ m1_relset_1(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_2(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_1(U_96)
| ~ l1_struct_0(U_97)
| ~ l1_struct_0(U_98) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
! [U_98,U_97,U_96] :
( ! [U_95] : m1_subset_1(k5_pre_topc(U_98,U_97,U_96,U_95),k1_zfmisc_1(u1_struct_0(U_98)))
| ~ m1_relset_1(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_2(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_1(U_96)
| ~ l1_struct_0(U_97)
| ~ l1_struct_0(U_98) ),
inference(miniscope,[status(thm)],[f_59_2]) ).
cnf(f_59_4,plain,
( m1_subset_1(k5_pre_topc(U_98,U_97,U_96,U_95),k1_zfmisc_1(u1_struct_0(U_98)))
| ~ m1_relset_1(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_2(U_96,u1_struct_0(U_98),u1_struct_0(U_97))
| ~ v1_funct_1(U_96)
| ~ l1_struct_0(U_97)
| ~ l1_struct_0(U_98) ),
inference(clausify,[status(thm)],[f_59_3]) ).
fof(f_60_1,plain,
! [A,B] :
( m1_subset_1(k5_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_waybel_0]) ).
fof(f_60_2,plain,
! [U_100,U_99] :
( m1_subset_1(k5_waybel_0(U_100,U_99),k1_zfmisc_1(u1_struct_0(U_100)))
| ~ m1_subset_1(U_99,k1_zfmisc_1(u1_struct_0(U_100)))
| ~ l1_orders_2(U_100) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
cnf(f_60_3,plain,
( m1_subset_1(k5_waybel_0(U_100,U_99),k1_zfmisc_1(u1_struct_0(U_100)))
| ~ m1_subset_1(U_99,k1_zfmisc_1(u1_struct_0(U_100)))
| ~ l1_orders_2(U_100) ),
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
! [A,B] :
( m1_subset_1(k7_waybel_0(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_waybel_0]) ).
fof(f_61_2,plain,
! [U_102,U_101] :
( m1_subset_1(k7_waybel_0(U_102,U_101),k1_zfmisc_1(u1_struct_0(U_102)))
| ~ m1_subset_1(U_101,u1_struct_0(U_102))
| ~ l1_orders_2(U_102)
| v3_struct_0(U_102) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
cnf(f_61_3,plain,
( m1_subset_1(k7_waybel_0(U_102,U_101),k1_zfmisc_1(u1_struct_0(U_102)))
| ~ m1_subset_1(U_101,u1_struct_0(U_102))
| ~ l1_orders_2(U_102)
| v3_struct_0(U_102) ),
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_1,plain,
! [A,B,C,D] :
( m1_subset_1(k7_yellow_2(A,B,C,D),u1_struct_0(B))
| ~ m1_subset_1(D,A)
| ~ m1_relset_1(C,A,u1_struct_0(B))
| ~ v1_funct_2(C,A,u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_struct_0(B)
| v3_struct_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_yellow_2]) ).
fof(f_62_2,plain,
! [U_106,U_105,U_104,U_103] :
( m1_subset_1(k7_yellow_2(U_106,U_105,U_104,U_103),u1_struct_0(U_105))
| ~ m1_subset_1(U_103,U_106)
| ~ m1_relset_1(U_104,U_106,u1_struct_0(U_105))
| ~ v1_funct_2(U_104,U_106,u1_struct_0(U_105))
| ~ v1_funct_1(U_104)
| ~ l1_struct_0(U_105)
| v3_struct_0(U_105)
| v1_xboole_0(U_106) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
cnf(f_62_3,plain,
( m1_subset_1(k7_yellow_2(U_106,U_105,U_104,U_103),u1_struct_0(U_105))
| ~ m1_subset_1(U_103,U_106)
| ~ m1_relset_1(U_104,U_106,u1_struct_0(U_105))
| ~ v1_funct_2(U_104,U_106,u1_struct_0(U_105))
| ~ v1_funct_1(U_104)
| ~ l1_struct_0(U_105)
| v3_struct_0(U_105)
| v1_xboole_0(U_106) ),
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_orders_2]) ).
fof(f_63_2,plain,
! [U_107] :
( l1_struct_0(U_107)
| ~ l1_orders_2(U_107) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
cnf(f_63_3,plain,
( l1_struct_0(U_107)
| ~ l1_orders_2(U_107) ),
inference(clausify,[status(thm)],[f_63_2]) ).
fof(f_64_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
cnf(f_64_2,plain,
$true,
inference(clausify,[status(thm)],[f_64_1]) ).
fof(f_65_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_relset_1]) ).
cnf(f_65_2,plain,
$true,
inference(clausify,[status(thm)],[f_65_1]) ).
fof(f_66_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
cnf(f_66_2,plain,
$true,
inference(clausify,[status(thm)],[f_66_1]) ).
fof(f_67_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_waybel_1]) ).
cnf(f_67_2,plain,
$true,
inference(clausify,[status(thm)],[f_67_1]) ).
fof(f_68_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_68_2,plain,
! [U_110,U_109,U_108] :
( m1_subset_1(U_108,k1_zfmisc_1(k2_zfmisc_1(U_110,U_109)))
| ~ m2_relset_1(U_108,U_110,U_109) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
cnf(f_68_3,plain,
( m1_subset_1(U_108,k1_zfmisc_1(k2_zfmisc_1(U_110,U_109)))
| ~ m2_relset_1(U_108,U_110,U_109) ),
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
cnf(f_69_2,plain,
$true,
inference(clausify,[status(thm)],[f_69_1]) ).
fof(f_70_1,plain,
? [A] : l1_orders_2(A),
inference(fof_nnf,[status(thm)],[existence_l1_orders_2]) ).
fof(f_70_2,plain,
? [U_111] : l1_orders_2(U_111),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
l1_orders_2(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_111,sK5)],[f_70_2]) ).
cnf(f_70_4,plain,
l1_orders_2(sK5),
inference(clausify,[status(thm)],[f_70_3]) ).
fof(f_71_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_71_2,plain,
? [U_112] : l1_struct_0(U_112),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
l1_struct_0(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_112,sK6)],[f_71_2]) ).
cnf(f_71_4,plain,
l1_struct_0(sK6),
inference(clausify,[status(thm)],[f_71_3]) ).
fof(f_72_1,plain,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_relset_1]) ).
fof(f_72_2,plain,
! [U_115,U_114] :
? [U_113] : m1_relset_1(U_113,U_115,U_114),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
! [U_115,U_114] : m1_relset_1(sK7(U_115,U_114),U_115,U_114),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_113,sK7(U_115,U_114))],[f_72_2]) ).
cnf(f_72_4,plain,
m1_relset_1(sK7(U_115,U_114),U_115,U_114),
inference(clausify,[status(thm)],[f_72_3]) ).
fof(f_73_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_73_2,plain,
! [U_117] :
? [U_116] : m1_subset_1(U_116,U_117),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
! [U_117] : m1_subset_1(sK8(U_117),U_117),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_116,sK8(U_117))],[f_73_2]) ).
cnf(f_73_4,plain,
m1_subset_1(sK8(U_117),U_117),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_1,plain,
! [A,B] :
( ? [C] : m1_waybel_1(C,A,B)
| ~ l1_orders_2(B)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_waybel_1]) ).
fof(f_74_2,plain,
! [U_120,U_119] :
( ? [U_118] : m1_waybel_1(U_118,U_120,U_119)
| ~ l1_orders_2(U_119)
| ~ l1_orders_2(U_120) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_120,U_119] :
( m1_waybel_1(sK9(U_120,U_119),U_120,U_119)
| ~ l1_orders_2(U_119)
| ~ l1_orders_2(U_120) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_118,sK9(U_120,U_119))],[f_74_2]) ).
cnf(f_74_4,plain,
( m1_waybel_1(sK9(U_120,U_119),U_120,U_119)
| ~ l1_orders_2(U_119)
| ~ l1_orders_2(U_120) ),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m2_relset_1]) ).
fof(f_75_2,plain,
! [U_123,U_122] :
? [U_121] : m2_relset_1(U_121,U_123,U_122),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_123,U_122] : m2_relset_1(sK10(U_123,U_122),U_123,U_122),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_121,sK10(U_123,U_122))],[f_75_2]) ).
cnf(f_75_4,plain,
m2_relset_1(sK10(U_123,U_122),U_123,U_122),
inference(clausify,[status(thm)],[f_75_3]) ).
fof(f_76_1,plain,
! [A] :
( ( v4_membered(k1_tarski(A))
& v3_membered(k1_tarski(A))
& v2_membered(k1_tarski(A))
& v1_membered(k1_tarski(A)) )
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[fc10_membered]) ).
fof(f_76_2,plain,
! [U_124] :
( ( v4_membered(k1_tarski(U_124))
& v3_membered(k1_tarski(U_124))
& v2_membered(k1_tarski(U_124))
& v1_membered(k1_tarski(U_124)) )
| ~ v1_int_1(U_124) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
cnf(f_76_3,plain,
( v1_membered(k1_tarski(U_124))
| ~ v1_int_1(U_124) ),
inference(clausify,[status(thm)],[f_76_2]) ).
cnf(f_76_4,plain,
( v2_membered(k1_tarski(U_124))
| ~ v1_int_1(U_124) ),
inference(clausify,[status(thm)],[f_76_2]) ).
cnf(f_76_5,plain,
( v3_membered(k1_tarski(U_124))
| ~ v1_int_1(U_124) ),
inference(clausify,[status(thm)],[f_76_2]) ).
cnf(f_76_6,plain,
( v4_membered(k1_tarski(U_124))
| ~ v1_int_1(U_124) ),
inference(clausify,[status(thm)],[f_76_2]) ).
fof(f_77_1,plain,
! [A,B] :
( ( v2_waybel_0(k7_waybel_0(A,B),A)
& ~ v1_xboole_0(k7_waybel_0(A,B)) )
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc10_waybel_0]) ).
fof(f_77_2,plain,
! [U_126,U_125] :
( ( v2_waybel_0(k7_waybel_0(U_126,U_125),U_126)
& ~ v1_xboole_0(k7_waybel_0(U_126,U_125)) )
| ~ m1_subset_1(U_125,u1_struct_0(U_126))
| ~ l1_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
cnf(f_77_3,plain,
( ~ v1_xboole_0(k7_waybel_0(U_126,U_125))
| ~ m1_subset_1(U_125,u1_struct_0(U_126))
| ~ l1_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_77_2]) ).
cnf(f_77_4,plain,
( v2_waybel_0(k7_waybel_0(U_126,U_125),U_126)
| ~ m1_subset_1(U_125,u1_struct_0(U_126))
| ~ l1_orders_2(U_126)
| ~ v2_orders_2(U_126)
| v3_struct_0(U_126) ),
inference(clausify,[status(thm)],[f_77_2]) ).
fof(f_78_1,plain,
! [A] :
( ( v5_membered(k1_tarski(A))
& v4_membered(k1_tarski(A))
& v3_membered(k1_tarski(A))
& v2_membered(k1_tarski(A))
& v1_membered(k1_tarski(A)) )
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[fc11_membered]) ).
fof(f_78_2,plain,
! [U_127] :
( ( v5_membered(k1_tarski(U_127))
& v4_membered(k1_tarski(U_127))
& v3_membered(k1_tarski(U_127))
& v2_membered(k1_tarski(U_127))
& v1_membered(k1_tarski(U_127)) )
| ~ v4_ordinal2(U_127) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
cnf(f_78_3,plain,
( v1_membered(k1_tarski(U_127))
| ~ v4_ordinal2(U_127) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_4,plain,
( v2_membered(k1_tarski(U_127))
| ~ v4_ordinal2(U_127) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_5,plain,
( v3_membered(k1_tarski(U_127))
| ~ v4_ordinal2(U_127) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_6,plain,
( v4_membered(k1_tarski(U_127))
| ~ v4_ordinal2(U_127) ),
inference(clausify,[status(thm)],[f_78_2]) ).
cnf(f_78_7,plain,
( v5_membered(k1_tarski(U_127))
| ~ v4_ordinal2(U_127) ),
inference(clausify,[status(thm)],[f_78_2]) ).
fof(f_79_1,plain,
! [A,B] :
( v1_membered(k2_tarski(A,B))
| ~ v1_xcmplx_0(B)
| ~ v1_xcmplx_0(A) ),
inference(fof_nnf,[status(thm)],[fc12_membered]) ).
fof(f_79_2,plain,
! [U_129,U_128] :
( v1_membered(k2_tarski(U_129,U_128))
| ~ v1_xcmplx_0(U_128)
| ~ v1_xcmplx_0(U_129) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
cnf(f_79_3,plain,
( v1_membered(k2_tarski(U_129,U_128))
| ~ v1_xcmplx_0(U_128)
| ~ v1_xcmplx_0(U_129) ),
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_1,plain,
! [A,B] :
( v13_waybel_0(k5_waybel_0(A,B),A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_orders_2(A)
| ~ v3_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc12_waybel_0]) ).
fof(f_80_2,plain,
! [U_131,U_130] :
( v13_waybel_0(k5_waybel_0(U_131,U_130),U_131)
| ~ m1_subset_1(U_130,k1_zfmisc_1(u1_struct_0(U_131)))
| ~ l1_orders_2(U_131)
| ~ v3_orders_2(U_131)
| v3_struct_0(U_131) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
cnf(f_80_3,plain,
( v13_waybel_0(k5_waybel_0(U_131,U_130),U_131)
| ~ m1_subset_1(U_130,k1_zfmisc_1(u1_struct_0(U_131)))
| ~ l1_orders_2(U_131)
| ~ v3_orders_2(U_131)
| v3_struct_0(U_131) ),
inference(clausify,[status(thm)],[f_80_2]) ).
fof(f_81_1,plain,
! [A,B] :
( ( v2_membered(k2_tarski(A,B))
& v1_membered(k2_tarski(A,B)) )
| ~ v1_xreal_0(B)
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc13_membered]) ).
fof(f_81_2,plain,
! [U_133,U_132] :
( ( v2_membered(k2_tarski(U_133,U_132))
& v1_membered(k2_tarski(U_133,U_132)) )
| ~ v1_xreal_0(U_132)
| ~ v1_xreal_0(U_133) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
cnf(f_81_3,plain,
( v1_membered(k2_tarski(U_133,U_132))
| ~ v1_xreal_0(U_132)
| ~ v1_xreal_0(U_133) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_4,plain,
( v2_membered(k2_tarski(U_133,U_132))
| ~ v1_xreal_0(U_132)
| ~ v1_xreal_0(U_133) ),
inference(clausify,[status(thm)],[f_81_2]) ).
fof(f_82_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_82_2,plain,
! [U_135,U_134] :
( v1_finset_1(k2_zfmisc_1(U_135,U_134))
| ~ v1_finset_1(U_134)
| ~ v1_finset_1(U_135) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
cnf(f_82_3,plain,
( v1_finset_1(k2_zfmisc_1(U_135,U_134))
| ~ v1_finset_1(U_134)
| ~ v1_finset_1(U_135) ),
inference(clausify,[status(thm)],[f_82_2]) ).
fof(f_83_1,plain,
! [A,B] :
( ( v3_membered(k2_tarski(A,B))
& v2_membered(k2_tarski(A,B))
& v1_membered(k2_tarski(A,B)) )
| ~ v1_rat_1(B)
| ~ v1_rat_1(A) ),
inference(fof_nnf,[status(thm)],[fc14_membered]) ).
fof(f_83_2,plain,
! [U_137,U_136] :
( ( v3_membered(k2_tarski(U_137,U_136))
& v2_membered(k2_tarski(U_137,U_136))
& v1_membered(k2_tarski(U_137,U_136)) )
| ~ v1_rat_1(U_136)
| ~ v1_rat_1(U_137) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
cnf(f_83_3,plain,
( v1_membered(k2_tarski(U_137,U_136))
| ~ v1_rat_1(U_136)
| ~ v1_rat_1(U_137) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_4,plain,
( v2_membered(k2_tarski(U_137,U_136))
| ~ v1_rat_1(U_136)
| ~ v1_rat_1(U_137) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_5,plain,
( v3_membered(k2_tarski(U_137,U_136))
| ~ v1_rat_1(U_136)
| ~ v1_rat_1(U_137) ),
inference(clausify,[status(thm)],[f_83_2]) ).
fof(f_84_1,plain,
! [A,B] :
( v13_waybel_0(k7_waybel_0(A,B),A)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_orders_2(A)
| ~ v3_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc14_waybel_0]) ).
fof(f_84_2,plain,
! [U_139,U_138] :
( v13_waybel_0(k7_waybel_0(U_139,U_138),U_139)
| ~ m1_subset_1(U_138,u1_struct_0(U_139))
| ~ l1_orders_2(U_139)
| ~ v3_orders_2(U_139)
| v3_struct_0(U_139) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
cnf(f_84_3,plain,
( v13_waybel_0(k7_waybel_0(U_139,U_138),U_139)
| ~ m1_subset_1(U_138,u1_struct_0(U_139))
| ~ l1_orders_2(U_139)
| ~ v3_orders_2(U_139)
| v3_struct_0(U_139) ),
inference(clausify,[status(thm)],[f_84_2]) ).
fof(f_85_1,plain,
! [A,B] :
( ( v4_membered(k2_tarski(A,B))
& v3_membered(k2_tarski(A,B))
& v2_membered(k2_tarski(A,B))
& v1_membered(k2_tarski(A,B)) )
| ~ v1_int_1(B)
| ~ v1_int_1(A) ),
inference(fof_nnf,[status(thm)],[fc15_membered]) ).
fof(f_85_2,plain,
! [U_141,U_140] :
( ( v4_membered(k2_tarski(U_141,U_140))
& v3_membered(k2_tarski(U_141,U_140))
& v2_membered(k2_tarski(U_141,U_140))
& v1_membered(k2_tarski(U_141,U_140)) )
| ~ v1_int_1(U_140)
| ~ v1_int_1(U_141) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
cnf(f_85_3,plain,
( v1_membered(k2_tarski(U_141,U_140))
| ~ v1_int_1(U_140)
| ~ v1_int_1(U_141) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_4,plain,
( v2_membered(k2_tarski(U_141,U_140))
| ~ v1_int_1(U_140)
| ~ v1_int_1(U_141) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_5,plain,
( v3_membered(k2_tarski(U_141,U_140))
| ~ v1_int_1(U_140)
| ~ v1_int_1(U_141) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_6,plain,
( v4_membered(k2_tarski(U_141,U_140))
| ~ v1_int_1(U_140)
| ~ v1_int_1(U_141) ),
inference(clausify,[status(thm)],[f_85_2]) ).
fof(f_86_1,plain,
! [A,B] :
( ( v5_membered(k2_tarski(A,B))
& v4_membered(k2_tarski(A,B))
& v3_membered(k2_tarski(A,B))
& v2_membered(k2_tarski(A,B))
& v1_membered(k2_tarski(A,B)) )
| ~ v4_ordinal2(B)
| ~ v4_ordinal2(A) ),
inference(fof_nnf,[status(thm)],[fc16_membered]) ).
fof(f_86_2,plain,
! [U_143,U_142] :
( ( v5_membered(k2_tarski(U_143,U_142))
& v4_membered(k2_tarski(U_143,U_142))
& v3_membered(k2_tarski(U_143,U_142))
& v2_membered(k2_tarski(U_143,U_142))
& v1_membered(k2_tarski(U_143,U_142)) )
| ~ v4_ordinal2(U_142)
| ~ v4_ordinal2(U_143) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
cnf(f_86_3,plain,
( v1_membered(k2_tarski(U_143,U_142))
| ~ v4_ordinal2(U_142)
| ~ v4_ordinal2(U_143) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_4,plain,
( v2_membered(k2_tarski(U_143,U_142))
| ~ v4_ordinal2(U_142)
| ~ v4_ordinal2(U_143) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_5,plain,
( v3_membered(k2_tarski(U_143,U_142))
| ~ v4_ordinal2(U_142)
| ~ v4_ordinal2(U_143) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_6,plain,
( v4_membered(k2_tarski(U_143,U_142))
| ~ v4_ordinal2(U_142)
| ~ v4_ordinal2(U_143) ),
inference(clausify,[status(thm)],[f_86_2]) ).
cnf(f_86_7,plain,
( v5_membered(k2_tarski(U_143,U_142))
| ~ v4_ordinal2(U_142)
| ~ v4_ordinal2(U_143) ),
inference(clausify,[status(thm)],[f_86_2]) ).
fof(f_87_1,plain,
! [A,B] :
( ( v13_waybel_0(k5_waybel_0(A,B),A)
& v2_waybel_0(k5_waybel_0(A,B),A) )
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ v2_waybel_0(B,A)
| ~ l1_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc17_waybel_0]) ).
fof(f_87_2,plain,
! [U_145,U_144] :
( ( v13_waybel_0(k5_waybel_0(U_145,U_144),U_145)
& v2_waybel_0(k5_waybel_0(U_145,U_144),U_145) )
| ~ m1_subset_1(U_144,k1_zfmisc_1(u1_struct_0(U_145)))
| ~ v2_waybel_0(U_144,U_145)
| ~ l1_orders_2(U_145)
| ~ v3_orders_2(U_145)
| ~ v2_orders_2(U_145)
| v3_struct_0(U_145) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
cnf(f_87_3,plain,
( v2_waybel_0(k5_waybel_0(U_145,U_144),U_145)
| ~ m1_subset_1(U_144,k1_zfmisc_1(u1_struct_0(U_145)))
| ~ v2_waybel_0(U_144,U_145)
| ~ l1_orders_2(U_145)
| ~ v3_orders_2(U_145)
| ~ v2_orders_2(U_145)
| v3_struct_0(U_145) ),
inference(clausify,[status(thm)],[f_87_2]) ).
cnf(f_87_4,plain,
( v13_waybel_0(k5_waybel_0(U_145,U_144),U_145)
| ~ m1_subset_1(U_144,k1_zfmisc_1(u1_struct_0(U_145)))
| ~ v2_waybel_0(U_144,U_145)
| ~ l1_orders_2(U_145)
| ~ v3_orders_2(U_145)
| ~ v2_orders_2(U_145)
| v3_struct_0(U_145) ),
inference(clausify,[status(thm)],[f_87_2]) ).
fof(f_88_1,plain,
! [A] :
( v1_finset_1(k1_tarski(A))
& ~ v1_xboole_0(k1_tarski(A)) ),
inference(fof_nnf,[status(thm)],[fc1_finset_1]) ).
fof(f_88_2,plain,
! [U_146] :
( v1_finset_1(k1_tarski(U_146))
& ~ v1_xboole_0(k1_tarski(U_146)) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
( ! [U_148] : v1_finset_1(k1_tarski(U_148))
& ! [U_147] : ~ v1_xboole_0(k1_tarski(U_147)) ),
inference(miniscope,[status(thm)],[f_88_2]) ).
cnf(f_88_4,plain,
~ v1_xboole_0(k1_tarski(U_147)),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_5,plain,
v1_finset_1(k1_tarski(U_148)),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_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_89_2,plain,
! [U_149] :
( ~ v1_xboole_0(u1_struct_0(U_149))
| ~ l1_struct_0(U_149)
| v3_struct_0(U_149) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
cnf(f_89_3,plain,
( ~ v1_xboole_0(u1_struct_0(U_149))
| ~ l1_struct_0(U_149)
| v3_struct_0(U_149) ),
inference(clausify,[status(thm)],[f_89_2]) ).
fof(f_90_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_90_2,plain,
! [U_152,U_151,U_150] :
( ( v5_orders_3(k1_waybel34(U_152,U_151,U_150),U_151,U_152)
& v5_waybel_1(k1_waybel34(U_152,U_151,U_150),U_152,U_151)
& v22_waybel_0(k1_waybel34(U_152,U_151,U_150),U_151,U_152)
& v20_waybel_0(k1_waybel34(U_152,U_151,U_150),U_151,U_152)
& v18_waybel_0(k1_waybel34(U_152,U_151,U_150),U_151,U_152)
& v1_partfun1(k1_waybel34(U_152,U_151,U_150),u1_struct_0(U_151),u1_struct_0(U_152))
& v1_funct_2(k1_waybel34(U_152,U_151,U_150),u1_struct_0(U_151),u1_struct_0(U_152))
& ~ v1_xboole_0(k1_waybel34(U_152,U_151,U_150))
& v1_funct_1(k1_waybel34(U_152,U_151,U_150))
& v1_relat_1(k1_waybel34(U_152,U_151,U_150)) )
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
cnf(f_90_3,plain,
( v1_relat_1(k1_waybel34(U_152,U_151,U_150))
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_4,plain,
( v1_funct_1(k1_waybel34(U_152,U_151,U_150))
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_5,plain,
( ~ v1_xboole_0(k1_waybel34(U_152,U_151,U_150))
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_6,plain,
( v1_funct_2(k1_waybel34(U_152,U_151,U_150),u1_struct_0(U_151),u1_struct_0(U_152))
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_7,plain,
( v1_partfun1(k1_waybel34(U_152,U_151,U_150),u1_struct_0(U_151),u1_struct_0(U_152))
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_8,plain,
( v18_waybel_0(k1_waybel34(U_152,U_151,U_150),U_151,U_152)
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_9,plain,
( v20_waybel_0(k1_waybel34(U_152,U_151,U_150),U_151,U_152)
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_10,plain,
( v22_waybel_0(k1_waybel34(U_152,U_151,U_150),U_151,U_152)
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_11,plain,
( v5_waybel_1(k1_waybel34(U_152,U_151,U_150),U_152,U_151)
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
cnf(f_90_12,plain,
( v5_orders_3(k1_waybel34(U_152,U_151,U_150),U_151,U_152)
| ~ m1_relset_1(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v17_waybel_0(U_150,U_152,U_151)
| ~ v1_funct_2(U_150,u1_struct_0(U_152),u1_struct_0(U_151))
| ~ v1_funct_1(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)
| ~ l1_orders_2(U_152)
| ~ v3_lattice3(U_152)
| ~ v2_lattice3(U_152)
| ~ v1_lattice3(U_152)
| ~ v4_orders_2(U_152)
| ~ v3_orders_2(U_152)
| ~ v2_orders_2(U_152) ),
inference(clausify,[status(thm)],[f_90_2]) ).
fof(f_91_1,plain,
! [A,B] :
( v1_finset_1(k2_tarski(A,B))
& ~ v1_xboole_0(k2_tarski(A,B)) ),
inference(fof_nnf,[status(thm)],[fc2_finset_1]) ).
fof(f_91_2,plain,
! [U_154,U_153] :
( v1_finset_1(k2_tarski(U_154,U_153))
& ~ v1_xboole_0(k2_tarski(U_154,U_153)) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
( ! [U_158,U_156] : v1_finset_1(k2_tarski(U_158,U_156))
& ! [U_157,U_155] : ~ v1_xboole_0(k2_tarski(U_157,U_155)) ),
inference(miniscope,[status(thm)],[f_91_2]) ).
cnf(f_91_4,plain,
~ v1_xboole_0(k2_tarski(U_157,U_155)),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_5,plain,
v1_finset_1(k2_tarski(U_158,U_156)),
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
! [A] :
( ( v1_setfam_1(k1_tarski(A))
& ~ v1_xboole_0(k1_tarski(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_setfam_1]) ).
fof(f_92_2,plain,
! [U_159] :
( ( v1_setfam_1(k1_tarski(U_159))
& ~ v1_xboole_0(k1_tarski(U_159)) )
| v1_xboole_0(U_159) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
cnf(f_92_3,plain,
( ~ v1_xboole_0(k1_tarski(U_159))
| v1_xboole_0(U_159) ),
inference(clausify,[status(thm)],[f_92_2]) ).
cnf(f_92_4,plain,
( v1_setfam_1(k1_tarski(U_159))
| v1_xboole_0(U_159) ),
inference(clausify,[status(thm)],[f_92_2]) ).
fof(f_93_1,plain,
! [A,B] :
( ( v1_setfam_1(k2_tarski(A,B))
& ~ v1_xboole_0(k2_tarski(A,B)) )
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_setfam_1]) ).
fof(f_93_2,plain,
! [U_161,U_160] :
( ( v1_setfam_1(k2_tarski(U_161,U_160))
& ~ v1_xboole_0(k2_tarski(U_161,U_160)) )
| v1_xboole_0(U_160)
| v1_xboole_0(U_161) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
cnf(f_93_3,plain,
( ~ v1_xboole_0(k2_tarski(U_161,U_160))
| v1_xboole_0(U_160)
| v1_xboole_0(U_161) ),
inference(clausify,[status(thm)],[f_93_2]) ).
cnf(f_93_4,plain,
( v1_setfam_1(k2_tarski(U_161,U_160))
| v1_xboole_0(U_160)
| v1_xboole_0(U_161) ),
inference(clausify,[status(thm)],[f_93_2]) ).
fof(f_94_1,plain,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
inference(fof_nnf,[status(thm)],[fc6_membered]) ).
cnf(f_94_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_94_1]) ).
cnf(f_94_3,plain,
v1_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_94_1]) ).
cnf(f_94_4,plain,
v2_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_94_1]) ).
cnf(f_94_5,plain,
v3_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_94_1]) ).
cnf(f_94_6,plain,
v4_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_94_1]) ).
cnf(f_94_7,plain,
v5_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_94_1]) ).
fof(f_95_1,plain,
! [A] :
( v1_membered(k1_tarski(A))
| ~ v1_xcmplx_0(A) ),
inference(fof_nnf,[status(thm)],[fc7_membered]) ).
fof(f_95_2,plain,
! [U_162] :
( v1_membered(k1_tarski(U_162))
| ~ v1_xcmplx_0(U_162) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
cnf(f_95_3,plain,
( v1_membered(k1_tarski(U_162))
| ~ v1_xcmplx_0(U_162) ),
inference(clausify,[status(thm)],[f_95_2]) ).
fof(f_96_1,plain,
! [A] :
( ( v2_membered(k1_tarski(A))
& v1_membered(k1_tarski(A)) )
| ~ v1_xreal_0(A) ),
inference(fof_nnf,[status(thm)],[fc8_membered]) ).
fof(f_96_2,plain,
! [U_163] :
( ( v2_membered(k1_tarski(U_163))
& v1_membered(k1_tarski(U_163)) )
| ~ v1_xreal_0(U_163) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
cnf(f_96_3,plain,
( v1_membered(k1_tarski(U_163))
| ~ v1_xreal_0(U_163) ),
inference(clausify,[status(thm)],[f_96_2]) ).
cnf(f_96_4,plain,
( v2_membered(k1_tarski(U_163))
| ~ v1_xreal_0(U_163) ),
inference(clausify,[status(thm)],[f_96_2]) ).
fof(f_97_1,plain,
! [A,B] :
( ~ v1_xboole_0(k5_waybel_0(A,B))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v1_xboole_0(B)
| ~ l1_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc8_waybel_0]) ).
fof(f_97_2,plain,
! [U_165,U_164] :
( ~ v1_xboole_0(k5_waybel_0(U_165,U_164))
| ~ m1_subset_1(U_164,k1_zfmisc_1(u1_struct_0(U_165)))
| v1_xboole_0(U_164)
| ~ l1_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
cnf(f_97_3,plain,
( ~ v1_xboole_0(k5_waybel_0(U_165,U_164))
| ~ m1_subset_1(U_164,k1_zfmisc_1(u1_struct_0(U_165)))
| v1_xboole_0(U_164)
| ~ l1_orders_2(U_165)
| ~ v2_orders_2(U_165)
| v3_struct_0(U_165) ),
inference(clausify,[status(thm)],[f_97_2]) ).
fof(f_98_1,plain,
! [A] :
( ( v3_membered(k1_tarski(A))
& v2_membered(k1_tarski(A))
& v1_membered(k1_tarski(A)) )
| ~ v1_rat_1(A) ),
inference(fof_nnf,[status(thm)],[fc9_membered]) ).
fof(f_98_2,plain,
! [U_166] :
( ( v3_membered(k1_tarski(U_166))
& v2_membered(k1_tarski(U_166))
& v1_membered(k1_tarski(U_166)) )
| ~ v1_rat_1(U_166) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
cnf(f_98_3,plain,
( v1_membered(k1_tarski(U_166))
| ~ v1_rat_1(U_166) ),
inference(clausify,[status(thm)],[f_98_2]) ).
cnf(f_98_4,plain,
( v2_membered(k1_tarski(U_166))
| ~ v1_rat_1(U_166) ),
inference(clausify,[status(thm)],[f_98_2]) ).
cnf(f_98_5,plain,
( v3_membered(k1_tarski(U_166))
| ~ v1_rat_1(U_166) ),
inference(clausify,[status(thm)],[f_98_2]) ).
fof(f_99_1,plain,
! [A] :
( ? [B] :
( v13_waybel_0(B,A)
& v2_waybel_0(B,A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc10_waybel_0]) ).
fof(f_99_2,plain,
! [U_168] :
( ? [U_167] :
( v13_waybel_0(U_167,U_168)
& v2_waybel_0(U_167,U_168)
& ~ v1_xboole_0(U_167)
& m1_subset_1(U_167,k1_zfmisc_1(u1_struct_0(U_168))) )
| ~ l1_orders_2(U_168)
| ~ v3_orders_2(U_168)
| ~ v2_orders_2(U_168)
| v3_struct_0(U_168) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
! [U_168] :
( ( v13_waybel_0(sK11(U_168),U_168)
& v2_waybel_0(sK11(U_168),U_168)
& ~ v1_xboole_0(sK11(U_168))
& m1_subset_1(sK11(U_168),k1_zfmisc_1(u1_struct_0(U_168))) )
| ~ l1_orders_2(U_168)
| ~ v3_orders_2(U_168)
| ~ v2_orders_2(U_168)
| v3_struct_0(U_168) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_167,sK11(U_168))],[f_99_2]) ).
cnf(f_99_4,plain,
( m1_subset_1(sK11(U_168),k1_zfmisc_1(u1_struct_0(U_168)))
| ~ l1_orders_2(U_168)
| ~ v3_orders_2(U_168)
| ~ v2_orders_2(U_168)
| v3_struct_0(U_168) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_5,plain,
( ~ v1_xboole_0(sK11(U_168))
| ~ l1_orders_2(U_168)
| ~ v3_orders_2(U_168)
| ~ v2_orders_2(U_168)
| v3_struct_0(U_168) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_6,plain,
( v2_waybel_0(sK11(U_168),U_168)
| ~ l1_orders_2(U_168)
| ~ v3_orders_2(U_168)
| ~ v2_orders_2(U_168)
| v3_struct_0(U_168) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_7,plain,
( v13_waybel_0(sK11(U_168),U_168)
| ~ l1_orders_2(U_168)
| ~ v3_orders_2(U_168)
| ~ v2_orders_2(U_168)
| v3_struct_0(U_168) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_finset_1]) ).
fof(f_100_2,plain,
? [U_169] :
( v1_finset_1(U_169)
& ~ v1_xboole_0(U_169) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
( v1_finset_1(sK12)
& ~ v1_xboole_0(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_169,sK12)],[f_100_2]) ).
cnf(f_100_4,plain,
~ v1_xboole_0(sK12),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_5,plain,
v1_finset_1(sK12),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
? [A] :
( v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_funct_1]) ).
fof(f_101_2,plain,
? [U_170] :
( v1_funct_1(U_170)
& v1_relat_1(U_170) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
( v1_funct_1(sK13)
& v1_relat_1(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_170,sK13)],[f_101_2]) ).
cnf(f_101_4,plain,
v1_relat_1(sK13),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_5,plain,
v1_funct_1(sK13),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_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_102_2,plain,
! [U_173,U_172] :
( ? [U_171] :
( v20_waybel_0(U_171,U_173,U_172)
& v19_waybel_0(U_171,U_173,U_172)
& v1_funct_2(U_171,u1_struct_0(U_173),u1_struct_0(U_172))
& v1_funct_1(U_171)
& v1_relat_1(U_171)
& m1_relset_1(U_171,u1_struct_0(U_173),u1_struct_0(U_172)) )
| ~ l1_orders_2(U_172)
| ~ v2_lattice3(U_172)
| ~ v1_lattice3(U_172)
| ~ v4_orders_2(U_172)
| ~ v3_orders_2(U_172)
| ~ v2_orders_2(U_172)
| ~ l1_orders_2(U_173)
| ~ v2_lattice3(U_173)
| ~ v1_lattice3(U_173)
| ~ v4_orders_2(U_173)
| ~ v3_orders_2(U_173)
| ~ v2_orders_2(U_173) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
! [U_173,U_172] :
( ( v20_waybel_0(sK14(U_173,U_172),U_173,U_172)
& v19_waybel_0(sK14(U_173,U_172),U_173,U_172)
& v1_funct_2(sK14(U_173,U_172),u1_struct_0(U_173),u1_struct_0(U_172))
& v1_funct_1(sK14(U_173,U_172))
& v1_relat_1(sK14(U_173,U_172))
& m1_relset_1(sK14(U_173,U_172),u1_struct_0(U_173),u1_struct_0(U_172)) )
| ~ l1_orders_2(U_172)
| ~ v2_lattice3(U_172)
| ~ v1_lattice3(U_172)
| ~ v4_orders_2(U_172)
| ~ v3_orders_2(U_172)
| ~ v2_orders_2(U_172)
| ~ l1_orders_2(U_173)
| ~ v2_lattice3(U_173)
| ~ v1_lattice3(U_173)
| ~ v4_orders_2(U_173)
| ~ v3_orders_2(U_173)
| ~ v2_orders_2(U_173) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_171,sK14(U_173,U_172))],[f_102_2]) ).
cnf(f_102_4,plain,
( m1_relset_1(sK14(U_173,U_172),u1_struct_0(U_173),u1_struct_0(U_172))
| ~ l1_orders_2(U_172)
| ~ v2_lattice3(U_172)
| ~ v1_lattice3(U_172)
| ~ v4_orders_2(U_172)
| ~ v3_orders_2(U_172)
| ~ v2_orders_2(U_172)
| ~ l1_orders_2(U_173)
| ~ v2_lattice3(U_173)
| ~ v1_lattice3(U_173)
| ~ v4_orders_2(U_173)
| ~ v3_orders_2(U_173)
| ~ v2_orders_2(U_173) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_5,plain,
( v1_relat_1(sK14(U_173,U_172))
| ~ l1_orders_2(U_172)
| ~ v2_lattice3(U_172)
| ~ v1_lattice3(U_172)
| ~ v4_orders_2(U_172)
| ~ v3_orders_2(U_172)
| ~ v2_orders_2(U_172)
| ~ l1_orders_2(U_173)
| ~ v2_lattice3(U_173)
| ~ v1_lattice3(U_173)
| ~ v4_orders_2(U_173)
| ~ v3_orders_2(U_173)
| ~ v2_orders_2(U_173) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_6,plain,
( v1_funct_1(sK14(U_173,U_172))
| ~ l1_orders_2(U_172)
| ~ v2_lattice3(U_172)
| ~ v1_lattice3(U_172)
| ~ v4_orders_2(U_172)
| ~ v3_orders_2(U_172)
| ~ v2_orders_2(U_172)
| ~ l1_orders_2(U_173)
| ~ v2_lattice3(U_173)
| ~ v1_lattice3(U_173)
| ~ v4_orders_2(U_173)
| ~ v3_orders_2(U_173)
| ~ v2_orders_2(U_173) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_7,plain,
( v1_funct_2(sK14(U_173,U_172),u1_struct_0(U_173),u1_struct_0(U_172))
| ~ l1_orders_2(U_172)
| ~ v2_lattice3(U_172)
| ~ v1_lattice3(U_172)
| ~ v4_orders_2(U_172)
| ~ v3_orders_2(U_172)
| ~ v2_orders_2(U_172)
| ~ l1_orders_2(U_173)
| ~ v2_lattice3(U_173)
| ~ v1_lattice3(U_173)
| ~ v4_orders_2(U_173)
| ~ v3_orders_2(U_173)
| ~ v2_orders_2(U_173) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_8,plain,
( v19_waybel_0(sK14(U_173,U_172),U_173,U_172)
| ~ l1_orders_2(U_172)
| ~ v2_lattice3(U_172)
| ~ v1_lattice3(U_172)
| ~ v4_orders_2(U_172)
| ~ v3_orders_2(U_172)
| ~ v2_orders_2(U_172)
| ~ l1_orders_2(U_173)
| ~ v2_lattice3(U_173)
| ~ v1_lattice3(U_173)
| ~ v4_orders_2(U_173)
| ~ v3_orders_2(U_173)
| ~ v2_orders_2(U_173) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_9,plain,
( v20_waybel_0(sK14(U_173,U_172),U_173,U_172)
| ~ l1_orders_2(U_172)
| ~ v2_lattice3(U_172)
| ~ v1_lattice3(U_172)
| ~ v4_orders_2(U_172)
| ~ v3_orders_2(U_172)
| ~ v2_orders_2(U_172)
| ~ l1_orders_2(U_173)
| ~ v2_lattice3(U_173)
| ~ v1_lattice3(U_173)
| ~ v4_orders_2(U_173)
| ~ v3_orders_2(U_173)
| ~ v2_orders_2(U_173) ),
inference(clausify,[status(thm)],[f_102_3]) ).
fof(f_103_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_103_2,plain,
? [U_174] :
( v5_membered(U_174)
& v4_membered(U_174)
& v3_membered(U_174)
& v2_membered(U_174)
& v1_membered(U_174)
& ~ v1_xboole_0(U_174) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
( v5_membered(sK15)
& v4_membered(sK15)
& v3_membered(sK15)
& v2_membered(sK15)
& v1_membered(sK15)
& ~ v1_xboole_0(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_174,sK15)],[f_103_2]) ).
cnf(f_103_4,plain,
~ v1_xboole_0(sK15),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_5,plain,
v1_membered(sK15),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_6,plain,
v2_membered(sK15),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_7,plain,
v3_membered(sK15),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_8,plain,
v4_membered(sK15),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_9,plain,
v5_membered(sK15),
inference(clausify,[status(thm)],[f_103_3]) ).
fof(f_104_1,plain,
? [A] :
( v1_setfam_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_setfam_1]) ).
fof(f_104_2,plain,
? [U_175] :
( v1_setfam_1(U_175)
& ~ v1_xboole_0(U_175) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
( v1_setfam_1(sK16)
& ~ v1_xboole_0(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_175,sK16)],[f_104_2]) ).
cnf(f_104_4,plain,
~ v1_xboole_0(sK16),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_5,plain,
v1_setfam_1(sK16),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_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_105_2,plain,
! [U_178,U_177] :
( ? [U_176] :
( v5_orders_3(U_176,U_178,U_177)
& v1_partfun1(U_176,u1_struct_0(U_178),u1_struct_0(U_177))
& v1_funct_2(U_176,u1_struct_0(U_178),u1_struct_0(U_177))
& v1_funct_1(U_176)
& v1_relat_1(U_176)
& m1_relset_1(U_176,u1_struct_0(U_178),u1_struct_0(U_177)) )
| ~ l1_orders_2(U_177)
| ~ v2_orders_2(U_177)
| v3_struct_0(U_177)
| ~ l1_orders_2(U_178) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
! [U_178,U_177] :
( ( v5_orders_3(sK17(U_178,U_177),U_178,U_177)
& v1_partfun1(sK17(U_178,U_177),u1_struct_0(U_178),u1_struct_0(U_177))
& v1_funct_2(sK17(U_178,U_177),u1_struct_0(U_178),u1_struct_0(U_177))
& v1_funct_1(sK17(U_178,U_177))
& v1_relat_1(sK17(U_178,U_177))
& m1_relset_1(sK17(U_178,U_177),u1_struct_0(U_178),u1_struct_0(U_177)) )
| ~ l1_orders_2(U_177)
| ~ v2_orders_2(U_177)
| v3_struct_0(U_177)
| ~ l1_orders_2(U_178) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_176,sK17(U_178,U_177))],[f_105_2]) ).
cnf(f_105_4,plain,
( m1_relset_1(sK17(U_178,U_177),u1_struct_0(U_178),u1_struct_0(U_177))
| ~ l1_orders_2(U_177)
| ~ v2_orders_2(U_177)
| v3_struct_0(U_177)
| ~ l1_orders_2(U_178) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_5,plain,
( v1_relat_1(sK17(U_178,U_177))
| ~ l1_orders_2(U_177)
| ~ v2_orders_2(U_177)
| v3_struct_0(U_177)
| ~ l1_orders_2(U_178) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_6,plain,
( v1_funct_1(sK17(U_178,U_177))
| ~ l1_orders_2(U_177)
| ~ v2_orders_2(U_177)
| v3_struct_0(U_177)
| ~ l1_orders_2(U_178) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_7,plain,
( v1_funct_2(sK17(U_178,U_177),u1_struct_0(U_178),u1_struct_0(U_177))
| ~ l1_orders_2(U_177)
| ~ v2_orders_2(U_177)
| v3_struct_0(U_177)
| ~ l1_orders_2(U_178) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_8,plain,
( v1_partfun1(sK17(U_178,U_177),u1_struct_0(U_178),u1_struct_0(U_177))
| ~ l1_orders_2(U_177)
| ~ v2_orders_2(U_177)
| v3_struct_0(U_177)
| ~ l1_orders_2(U_178) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_9,plain,
( v5_orders_3(sK17(U_178,U_177),U_178,U_177)
| ~ l1_orders_2(U_177)
| ~ v2_orders_2(U_177)
| v3_struct_0(U_177)
| ~ l1_orders_2(U_178) ),
inference(clausify,[status(thm)],[f_105_3]) ).
fof(f_106_1,plain,
! [A,B] :
( ? [C] :
( v3_waybel_1(C,A,B)
& m1_waybel_1(C,A,B) )
| ~ l1_orders_2(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B)
| ~ 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_waybel34]) ).
fof(f_106_2,plain,
! [U_181,U_180] :
( ? [U_179] :
( v3_waybel_1(U_179,U_181,U_180)
& m1_waybel_1(U_179,U_181,U_180) )
| ~ l1_orders_2(U_180)
| ~ v3_lattice3(U_180)
| ~ v2_lattice3(U_180)
| ~ v1_lattice3(U_180)
| ~ v4_orders_2(U_180)
| ~ v3_orders_2(U_180)
| ~ v2_orders_2(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) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
! [U_181,U_180] :
( ( v3_waybel_1(sK18(U_181,U_180),U_181,U_180)
& m1_waybel_1(sK18(U_181,U_180),U_181,U_180) )
| ~ l1_orders_2(U_180)
| ~ v3_lattice3(U_180)
| ~ v2_lattice3(U_180)
| ~ v1_lattice3(U_180)
| ~ v4_orders_2(U_180)
| ~ v3_orders_2(U_180)
| ~ v2_orders_2(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) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_179,sK18(U_181,U_180))],[f_106_2]) ).
cnf(f_106_4,plain,
( m1_waybel_1(sK18(U_181,U_180),U_181,U_180)
| ~ l1_orders_2(U_180)
| ~ v3_lattice3(U_180)
| ~ v2_lattice3(U_180)
| ~ v1_lattice3(U_180)
| ~ v4_orders_2(U_180)
| ~ v3_orders_2(U_180)
| ~ v2_orders_2(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) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_5,plain,
( v3_waybel_1(sK18(U_181,U_180),U_181,U_180)
| ~ l1_orders_2(U_180)
| ~ v3_lattice3(U_180)
| ~ v2_lattice3(U_180)
| ~ v1_lattice3(U_180)
| ~ v4_orders_2(U_180)
| ~ v3_orders_2(U_180)
| ~ v2_orders_2(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) ),
inference(clausify,[status(thm)],[f_106_3]) ).
fof(f_107_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_107_2,plain,
? [U_182] :
( v1_funct_1(U_182)
& v1_xboole_0(U_182)
& v1_relat_1(U_182) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
( v1_funct_1(sK19)
& v1_xboole_0(sK19)
& v1_relat_1(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_182,sK19)],[f_107_2]) ).
cnf(f_107_4,plain,
v1_relat_1(sK19),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_5,plain,
v1_xboole_0(sK19),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_6,plain,
v1_funct_1(sK19),
inference(clausify,[status(thm)],[f_107_3]) ).
fof(f_108_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_108_2,plain,
? [U_183] :
( v3_yellow_0(U_183)
& v2_yellow_0(U_183)
& v1_yellow_0(U_183)
& v3_lattice3(U_183)
& v2_lattice3(U_183)
& v1_lattice3(U_183)
& v4_orders_2(U_183)
& v3_orders_2(U_183)
& v2_orders_2(U_183)
& ~ v3_struct_0(U_183)
& l1_orders_2(U_183) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
( v3_yellow_0(sK20)
& v2_yellow_0(sK20)
& v1_yellow_0(sK20)
& v3_lattice3(sK20)
& v2_lattice3(sK20)
& v1_lattice3(sK20)
& v4_orders_2(sK20)
& v3_orders_2(sK20)
& v2_orders_2(sK20)
& ~ v3_struct_0(sK20)
& l1_orders_2(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_183,sK20)],[f_108_2]) ).
cnf(f_108_4,plain,
l1_orders_2(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_5,plain,
~ v3_struct_0(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_6,plain,
v2_orders_2(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_7,plain,
v3_orders_2(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_8,plain,
v4_orders_2(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_9,plain,
v1_lattice3(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_10,plain,
v2_lattice3(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_11,plain,
v3_lattice3(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_12,plain,
v1_yellow_0(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_13,plain,
v2_yellow_0(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_14,plain,
v3_yellow_0(sK20),
inference(clausify,[status(thm)],[f_108_3]) ).
fof(f_109_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_109_2,plain,
! [U_185] :
( ? [U_184] :
( v1_finset_1(U_184)
& ~ v1_xboole_0(U_184)
& m1_subset_1(U_184,k1_zfmisc_1(U_185)) )
| v1_xboole_0(U_185) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
! [U_185] :
( ( v1_finset_1(sK21(U_185))
& ~ v1_xboole_0(sK21(U_185))
& m1_subset_1(sK21(U_185),k1_zfmisc_1(U_185)) )
| v1_xboole_0(U_185) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_184,sK21(U_185))],[f_109_2]) ).
cnf(f_109_4,plain,
( m1_subset_1(sK21(U_185),k1_zfmisc_1(U_185))
| v1_xboole_0(U_185) ),
inference(clausify,[status(thm)],[f_109_3]) ).
cnf(f_109_5,plain,
( ~ v1_xboole_0(sK21(U_185))
| v1_xboole_0(U_185) ),
inference(clausify,[status(thm)],[f_109_3]) ).
cnf(f_109_6,plain,
( v1_finset_1(sK21(U_185))
| v1_xboole_0(U_185) ),
inference(clausify,[status(thm)],[f_109_3]) ).
fof(f_110_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_110_2,plain,
? [U_186] :
( v2_funct_1(U_186)
& v1_funct_1(U_186)
& v1_relat_1(U_186) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
( v2_funct_1(sK22)
& v1_funct_1(sK22)
& v1_relat_1(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_186,sK22)],[f_110_2]) ).
cnf(f_110_4,plain,
v1_relat_1(sK22),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_5,plain,
v1_funct_1(sK22),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_6,plain,
v2_funct_1(sK22),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_111_2,plain,
? [U_187] :
( ~ v3_struct_0(U_187)
& l1_struct_0(U_187) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
( ~ v3_struct_0(sK23)
& l1_struct_0(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_187,sK23)],[f_111_2]) ).
cnf(f_111_4,plain,
l1_struct_0(sK23),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_5,plain,
~ v3_struct_0(sK23),
inference(clausify,[status(thm)],[f_111_3]) ).
fof(f_112_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_112_2,plain,
! [U_190,U_189] :
( ? [U_188] :
( v1_partfun1(U_188,u1_struct_0(U_190),u1_struct_0(U_189))
& v21_waybel_0(U_188,U_190,U_189)
& v19_waybel_0(U_188,U_190,U_189)
& v17_waybel_0(U_188,U_190,U_189)
& v1_funct_2(U_188,u1_struct_0(U_190),u1_struct_0(U_189))
& ~ v1_xboole_0(U_188)
& v1_funct_1(U_188)
& v1_relat_1(U_188)
& m1_relset_1(U_188,u1_struct_0(U_190),u1_struct_0(U_189)) )
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
! [U_190,U_189] :
( ( v1_partfun1(sK24(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
& v21_waybel_0(sK24(U_190,U_189),U_190,U_189)
& v19_waybel_0(sK24(U_190,U_189),U_190,U_189)
& v17_waybel_0(sK24(U_190,U_189),U_190,U_189)
& v1_funct_2(sK24(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
& ~ v1_xboole_0(sK24(U_190,U_189))
& v1_funct_1(sK24(U_190,U_189))
& v1_relat_1(sK24(U_190,U_189))
& m1_relset_1(sK24(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189)) )
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_188,sK24(U_190,U_189))],[f_112_2]) ).
cnf(f_112_4,plain,
( m1_relset_1(sK24(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_5,plain,
( v1_relat_1(sK24(U_190,U_189))
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_6,plain,
( v1_funct_1(sK24(U_190,U_189))
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_7,plain,
( ~ v1_xboole_0(sK24(U_190,U_189))
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_8,plain,
( v1_funct_2(sK24(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_9,plain,
( v17_waybel_0(sK24(U_190,U_189),U_190,U_189)
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_10,plain,
( v19_waybel_0(sK24(U_190,U_189),U_190,U_189)
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_11,plain,
( v21_waybel_0(sK24(U_190,U_189),U_190,U_189)
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_12,plain,
( v1_partfun1(sK24(U_190,U_189),u1_struct_0(U_190),u1_struct_0(U_189))
| ~ l1_orders_2(U_189)
| ~ v2_yellow_0(U_189)
| ~ v4_orders_2(U_189)
| ~ v2_orders_2(U_189)
| v3_struct_0(U_189)
| ~ l1_orders_2(U_190)
| v3_struct_0(U_190) ),
inference(clausify,[status(thm)],[f_112_3]) ).
fof(f_113_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_113_2,plain,
! [U_192] :
( ? [U_191] :
( v1_finset_1(U_191)
& ~ v1_xboole_0(U_191)
& m1_subset_1(U_191,k1_zfmisc_1(U_192)) )
| v1_xboole_0(U_192) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
! [U_192] :
( ( v1_finset_1(sK25(U_192))
& ~ v1_xboole_0(sK25(U_192))
& m1_subset_1(sK25(U_192),k1_zfmisc_1(U_192)) )
| v1_xboole_0(U_192) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_191,sK25(U_192))],[f_113_2]) ).
cnf(f_113_4,plain,
( m1_subset_1(sK25(U_192),k1_zfmisc_1(U_192))
| v1_xboole_0(U_192) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_5,plain,
( ~ v1_xboole_0(sK25(U_192))
| v1_xboole_0(U_192) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_113_6,plain,
( v1_finset_1(sK25(U_192))
| v1_xboole_0(U_192) ),
inference(clausify,[status(thm)],[f_113_3]) ).
fof(f_114_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_114_2,plain,
! [U_195,U_194] :
( ? [U_193] :
( v1_partfun1(U_193,u1_struct_0(U_195),u1_struct_0(U_194))
& v22_waybel_0(U_193,U_195,U_194)
& v20_waybel_0(U_193,U_195,U_194)
& v18_waybel_0(U_193,U_195,U_194)
& v1_funct_2(U_193,u1_struct_0(U_195),u1_struct_0(U_194))
& ~ v1_xboole_0(U_193)
& v1_funct_1(U_193)
& v1_relat_1(U_193)
& m1_relset_1(U_193,u1_struct_0(U_195),u1_struct_0(U_194)) )
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
! [U_195,U_194] :
( ( v1_partfun1(sK26(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194))
& v22_waybel_0(sK26(U_195,U_194),U_195,U_194)
& v20_waybel_0(sK26(U_195,U_194),U_195,U_194)
& v18_waybel_0(sK26(U_195,U_194),U_195,U_194)
& v1_funct_2(sK26(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194))
& ~ v1_xboole_0(sK26(U_195,U_194))
& v1_funct_1(sK26(U_195,U_194))
& v1_relat_1(sK26(U_195,U_194))
& m1_relset_1(sK26(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194)) )
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_193,sK26(U_195,U_194))],[f_114_2]) ).
cnf(f_114_4,plain,
( m1_relset_1(sK26(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_5,plain,
( v1_relat_1(sK26(U_195,U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_6,plain,
( v1_funct_1(sK26(U_195,U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_7,plain,
( ~ v1_xboole_0(sK26(U_195,U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_8,plain,
( v1_funct_2(sK26(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_9,plain,
( v18_waybel_0(sK26(U_195,U_194),U_195,U_194)
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_10,plain,
( v20_waybel_0(sK26(U_195,U_194),U_195,U_194)
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_11,plain,
( v22_waybel_0(sK26(U_195,U_194),U_195,U_194)
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
cnf(f_114_12,plain,
( v1_partfun1(sK26(U_195,U_194),u1_struct_0(U_195),u1_struct_0(U_194))
| ~ l1_orders_2(U_194)
| ~ v1_yellow_0(U_194)
| ~ v4_orders_2(U_194)
| ~ v2_orders_2(U_194)
| v3_struct_0(U_194)
| ~ l1_orders_2(U_195)
| v3_struct_0(U_195) ),
inference(clausify,[status(thm)],[f_114_3]) ).
fof(f_115_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_115_2,plain,
! [U_197] :
( ? [U_196] :
( ~ v1_xboole_0(U_196)
& m1_subset_1(U_196,k1_zfmisc_1(u1_struct_0(U_197))) )
| ~ l1_struct_0(U_197)
| v3_struct_0(U_197) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
! [U_197] :
( ( ~ v1_xboole_0(sK27(U_197))
& m1_subset_1(sK27(U_197),k1_zfmisc_1(u1_struct_0(U_197))) )
| ~ l1_struct_0(U_197)
| v3_struct_0(U_197) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_196,sK27(U_197))],[f_115_2]) ).
cnf(f_115_4,plain,
( m1_subset_1(sK27(U_197),k1_zfmisc_1(u1_struct_0(U_197)))
| ~ l1_struct_0(U_197)
| v3_struct_0(U_197) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_5,plain,
( ~ v1_xboole_0(sK27(U_197))
| ~ l1_struct_0(U_197)
| v3_struct_0(U_197) ),
inference(clausify,[status(thm)],[f_115_3]) ).
fof(f_116_1,plain,
! [A,B] :
( k1_struct_0(A,B) = k1_tarski(B)
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k1_struct_0]) ).
fof(f_116_2,plain,
! [U_199,U_198] :
( k1_struct_0(U_199,U_198) = k1_tarski(U_198)
| ~ m1_subset_1(U_198,u1_struct_0(U_199))
| ~ l1_struct_0(U_199)
| v3_struct_0(U_199) ),
inference(variable_rename,[status(thm)],[f_116_1]) ).
cnf(f_116_3,plain,
( k1_struct_0(U_199,U_198) = k1_tarski(U_198)
| ~ m1_subset_1(U_198,u1_struct_0(U_199))
| ~ l1_struct_0(U_199)
| v3_struct_0(U_199) ),
inference(clausify,[status(thm)],[f_116_2]) ).
fof(f_117_1,plain,
! [A,B,C,D] :
( k1_waybel_1(A,B,C,D) = k4_tarski(C,D)
| ~ m1_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(D)
| ~ 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)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k1_waybel_1]) ).
fof(f_117_2,plain,
! [U_203,U_202,U_201,U_200] :
( k1_waybel_1(U_203,U_202,U_201,U_200) = k4_tarski(U_201,U_200)
| ~ m1_relset_1(U_200,u1_struct_0(U_202),u1_struct_0(U_203))
| ~ v1_funct_2(U_200,u1_struct_0(U_202),u1_struct_0(U_203))
| ~ v1_funct_1(U_200)
| ~ m1_relset_1(U_201,u1_struct_0(U_203),u1_struct_0(U_202))
| ~ v1_funct_2(U_201,u1_struct_0(U_203),u1_struct_0(U_202))
| ~ v1_funct_1(U_201)
| ~ l1_orders_2(U_202)
| ~ l1_orders_2(U_203) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
cnf(f_117_3,plain,
( k1_waybel_1(U_203,U_202,U_201,U_200) = k4_tarski(U_201,U_200)
| ~ m1_relset_1(U_200,u1_struct_0(U_202),u1_struct_0(U_203))
| ~ v1_funct_2(U_200,u1_struct_0(U_202),u1_struct_0(U_203))
| ~ v1_funct_1(U_200)
| ~ m1_relset_1(U_201,u1_struct_0(U_203),u1_struct_0(U_202))
| ~ v1_funct_2(U_201,u1_struct_0(U_203),u1_struct_0(U_202))
| ~ v1_funct_1(U_201)
| ~ l1_orders_2(U_202)
| ~ l1_orders_2(U_203) ),
inference(clausify,[status(thm)],[f_117_2]) ).
fof(f_118_1,plain,
! [A,B,C,D] :
( k5_pre_topc(A,B,C,D) = k10_relat_1(C,D)
| ~ 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_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k5_pre_topc]) ).
fof(f_118_2,plain,
! [U_207,U_206,U_205,U_204] :
( k5_pre_topc(U_207,U_206,U_205,U_204) = k10_relat_1(U_205,U_204)
| ~ m1_relset_1(U_205,u1_struct_0(U_207),u1_struct_0(U_206))
| ~ v1_funct_2(U_205,u1_struct_0(U_207),u1_struct_0(U_206))
| ~ v1_funct_1(U_205)
| ~ l1_struct_0(U_206)
| ~ l1_struct_0(U_207) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
! [U_207,U_206,U_205] :
( ! [U_204] : k5_pre_topc(U_207,U_206,U_205,U_204) = k10_relat_1(U_205,U_204)
| ~ m1_relset_1(U_205,u1_struct_0(U_207),u1_struct_0(U_206))
| ~ v1_funct_2(U_205,u1_struct_0(U_207),u1_struct_0(U_206))
| ~ v1_funct_1(U_205)
| ~ l1_struct_0(U_206)
| ~ l1_struct_0(U_207) ),
inference(miniscope,[status(thm)],[f_118_2]) ).
cnf(f_118_4,plain,
( k5_pre_topc(U_207,U_206,U_205,U_204) = k10_relat_1(U_205,U_204)
| ~ m1_relset_1(U_205,u1_struct_0(U_207),u1_struct_0(U_206))
| ~ v1_funct_2(U_205,u1_struct_0(U_207),u1_struct_0(U_206))
| ~ v1_funct_1(U_205)
| ~ l1_struct_0(U_206)
| ~ l1_struct_0(U_207) ),
inference(clausify,[status(thm)],[f_118_3]) ).
fof(f_119_1,plain,
! [A,B,C,D] :
( k7_yellow_2(A,B,C,D) = k1_funct_1(C,D)
| ~ m1_subset_1(D,A)
| ~ m1_relset_1(C,A,u1_struct_0(B))
| ~ v1_funct_2(C,A,u1_struct_0(B))
| ~ v1_funct_1(C)
| ~ l1_struct_0(B)
| v3_struct_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[redefinition_k7_yellow_2]) ).
fof(f_119_2,plain,
! [U_211,U_210,U_209,U_208] :
( k7_yellow_2(U_211,U_210,U_209,U_208) = k1_funct_1(U_209,U_208)
| ~ m1_subset_1(U_208,U_211)
| ~ m1_relset_1(U_209,U_211,u1_struct_0(U_210))
| ~ v1_funct_2(U_209,U_211,u1_struct_0(U_210))
| ~ v1_funct_1(U_209)
| ~ l1_struct_0(U_210)
| v3_struct_0(U_210)
| v1_xboole_0(U_211) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
cnf(f_119_3,plain,
( k7_yellow_2(U_211,U_210,U_209,U_208) = k1_funct_1(U_209,U_208)
| ~ m1_subset_1(U_208,U_211)
| ~ m1_relset_1(U_209,U_211,u1_struct_0(U_210))
| ~ v1_funct_2(U_209,U_211,u1_struct_0(U_210))
| ~ v1_funct_1(U_209)
| ~ l1_struct_0(U_210)
| v3_struct_0(U_210)
| v1_xboole_0(U_211) ),
inference(clausify,[status(thm)],[f_119_2]) ).
fof(f_120_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_120_2,plain,
! [U_214,U_213,U_212] :
( ( m2_relset_1(U_212,U_214,U_213)
| ~ m1_relset_1(U_212,U_214,U_213) )
& ( m1_relset_1(U_212,U_214,U_213)
| ~ m2_relset_1(U_212,U_214,U_213) ) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
( ! [U_220,U_218,U_216] :
( m2_relset_1(U_216,U_220,U_218)
| ~ m1_relset_1(U_216,U_220,U_218) )
& ! [U_219,U_217,U_215] :
( m1_relset_1(U_215,U_219,U_217)
| ~ m2_relset_1(U_215,U_219,U_217) ) ),
inference(miniscope,[status(thm)],[f_120_2]) ).
cnf(f_120_4,plain,
( m1_relset_1(U_215,U_219,U_217)
| ~ m2_relset_1(U_215,U_219,U_217) ),
inference(clausify,[status(thm)],[f_120_3]) ).
cnf(f_120_5,plain,
( m2_relset_1(U_216,U_220,U_218)
| ~ m1_relset_1(U_216,U_220,U_218) ),
inference(clausify,[status(thm)],[f_120_3]) ).
fof(f_121_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_121_2,plain,
! [U_222,U_221] : r1_tarski(U_222,U_222),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
! [U_222] : r1_tarski(U_222,U_222),
inference(miniscope,[status(thm)],[f_121_2]) ).
cnf(f_121_4,plain,
r1_tarski(U_222,U_222),
inference(clausify,[status(thm)],[f_121_3]) ).
fof(f_122_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ( ( v3_waybel_1(k1_waybel_1(A,B,C,D),A,B)
| ? [E] :
( ~ r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,E),k5_pre_topc(A,B,C,k7_waybel_0(B,E)))
& m1_subset_1(E,u1_struct_0(B)) )
| ~ v5_orders_3(C,A,B) )
& ( ( ! [E] :
( r3_waybel_1(A,k7_yellow_2(u1_struct_0(B),A,D,E),k5_pre_topc(A,B,C,k7_waybel_0(B,E)))
| ~ m1_subset_1(E,u1_struct_0(B)) )
& v5_orders_3(C,A,B) )
| ~ v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) )
| ~ m2_relset_1(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
| ~ v1_funct_1(D) )
| ~ 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)
| ~ 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)],[t11_waybel_1]) ).
fof(f_122_2,plain,
! [U_228] :
( ! [U_227] :
( ! [U_226] :
( ! [U_225] :
( ( ( v3_waybel_1(k1_waybel_1(U_228,U_227,U_226,U_225),U_228,U_227)
| ? [U_224] :
( ~ r3_waybel_1(U_228,k7_yellow_2(u1_struct_0(U_227),U_228,U_225,U_224),k5_pre_topc(U_228,U_227,U_226,k7_waybel_0(U_227,U_224)))
& m1_subset_1(U_224,u1_struct_0(U_227)) )
| ~ v5_orders_3(U_226,U_228,U_227) )
& ( ( ! [U_223] :
( r3_waybel_1(U_228,k7_yellow_2(u1_struct_0(U_227),U_228,U_225,U_223),k5_pre_topc(U_228,U_227,U_226,k7_waybel_0(U_227,U_223)))
| ~ m1_subset_1(U_223,u1_struct_0(U_227)) )
& v5_orders_3(U_226,U_228,U_227) )
| ~ v3_waybel_1(k1_waybel_1(U_228,U_227,U_226,U_225),U_228,U_227) ) )
| ~ m2_relset_1(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_2(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_1(U_225) )
| ~ m2_relset_1(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_2(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_1(U_226) )
| ~ l1_orders_2(U_227)
| ~ v4_orders_2(U_227)
| ~ v3_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227) )
| ~ l1_orders_2(U_228)
| ~ v4_orders_2(U_228)
| ~ v3_orders_2(U_228)
| ~ v2_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
! [U_228] :
( ! [U_227] :
( ! [U_226] :
( ! [U_225] :
( ( ( v3_waybel_1(k1_waybel_1(U_228,U_227,U_226,U_225),U_228,U_227)
| ( ~ r3_waybel_1(U_228,k7_yellow_2(u1_struct_0(U_227),U_228,U_225,sK28(U_228,U_227,U_226,U_225)),k5_pre_topc(U_228,U_227,U_226,k7_waybel_0(U_227,sK28(U_228,U_227,U_226,U_225))))
& m1_subset_1(sK28(U_228,U_227,U_226,U_225),u1_struct_0(U_227)) )
| ~ v5_orders_3(U_226,U_228,U_227) )
& ( ( ! [U_223] :
( r3_waybel_1(U_228,k7_yellow_2(u1_struct_0(U_227),U_228,U_225,U_223),k5_pre_topc(U_228,U_227,U_226,k7_waybel_0(U_227,U_223)))
| ~ m1_subset_1(U_223,u1_struct_0(U_227)) )
& v5_orders_3(U_226,U_228,U_227) )
| ~ v3_waybel_1(k1_waybel_1(U_228,U_227,U_226,U_225),U_228,U_227) ) )
| ~ m2_relset_1(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_2(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_1(U_225) )
| ~ m2_relset_1(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_2(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_1(U_226) )
| ~ l1_orders_2(U_227)
| ~ v4_orders_2(U_227)
| ~ v3_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227) )
| ~ l1_orders_2(U_228)
| ~ v4_orders_2(U_228)
| ~ v3_orders_2(U_228)
| ~ v2_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_224,sK28(U_228,U_227,U_226,U_225))],[f_122_2]) ).
cnf(f_122_4,plain,
( v5_orders_3(U_226,U_228,U_227)
| ~ v3_waybel_1(k1_waybel_1(U_228,U_227,U_226,U_225),U_228,U_227)
| ~ m2_relset_1(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_2(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_1(U_225)
| ~ m2_relset_1(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_2(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_1(U_226)
| ~ l1_orders_2(U_227)
| ~ v4_orders_2(U_227)
| ~ v3_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227)
| ~ l1_orders_2(U_228)
| ~ v4_orders_2(U_228)
| ~ v3_orders_2(U_228)
| ~ v2_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(clausify,[status(thm)],[f_122_3]) ).
cnf(f_122_5,plain,
( r3_waybel_1(U_228,k7_yellow_2(u1_struct_0(U_227),U_228,U_225,U_223),k5_pre_topc(U_228,U_227,U_226,k7_waybel_0(U_227,U_223)))
| ~ m1_subset_1(U_223,u1_struct_0(U_227))
| ~ v3_waybel_1(k1_waybel_1(U_228,U_227,U_226,U_225),U_228,U_227)
| ~ m2_relset_1(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_2(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_1(U_225)
| ~ m2_relset_1(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_2(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_1(U_226)
| ~ l1_orders_2(U_227)
| ~ v4_orders_2(U_227)
| ~ v3_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227)
| ~ l1_orders_2(U_228)
| ~ v4_orders_2(U_228)
| ~ v3_orders_2(U_228)
| ~ v2_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(clausify,[status(thm)],[f_122_3]) ).
cnf(f_122_6,plain,
( m1_subset_1(sK28(U_228,U_227,U_226,U_225),u1_struct_0(U_227))
| ~ v5_orders_3(U_226,U_228,U_227)
| v3_waybel_1(k1_waybel_1(U_228,U_227,U_226,U_225),U_228,U_227)
| ~ m2_relset_1(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_2(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_1(U_225)
| ~ m2_relset_1(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_2(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_1(U_226)
| ~ l1_orders_2(U_227)
| ~ v4_orders_2(U_227)
| ~ v3_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227)
| ~ l1_orders_2(U_228)
| ~ v4_orders_2(U_228)
| ~ v3_orders_2(U_228)
| ~ v2_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(clausify,[status(thm)],[f_122_3]) ).
cnf(f_122_7,plain,
( ~ r3_waybel_1(U_228,k7_yellow_2(u1_struct_0(U_227),U_228,U_225,sK28(U_228,U_227,U_226,U_225)),k5_pre_topc(U_228,U_227,U_226,k7_waybel_0(U_227,sK28(U_228,U_227,U_226,U_225))))
| ~ v5_orders_3(U_226,U_228,U_227)
| v3_waybel_1(k1_waybel_1(U_228,U_227,U_226,U_225),U_228,U_227)
| ~ m2_relset_1(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_2(U_225,u1_struct_0(U_227),u1_struct_0(U_228))
| ~ v1_funct_1(U_225)
| ~ m2_relset_1(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_2(U_226,u1_struct_0(U_228),u1_struct_0(U_227))
| ~ v1_funct_1(U_226)
| ~ l1_orders_2(U_227)
| ~ v4_orders_2(U_227)
| ~ v3_orders_2(U_227)
| ~ v2_orders_2(U_227)
| v3_struct_0(U_227)
| ~ l1_orders_2(U_228)
| ~ v4_orders_2(U_228)
| ~ v3_orders_2(U_228)
| ~ v2_orders_2(U_228)
| v3_struct_0(U_228) ),
inference(clausify,[status(thm)],[f_122_3]) ).
fof(f_123_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_123_2,plain,
! [U_230,U_229] :
( m1_subset_1(U_230,U_229)
| ~ r2_hidden(U_230,U_229) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
cnf(f_123_3,plain,
( m1_subset_1(U_230,U_229)
| ~ r2_hidden(U_230,U_229) ),
inference(clausify,[status(thm)],[f_123_2]) ).
fof(f_124_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_124_2,plain,
! [U_232,U_231] :
( r2_hidden(U_232,U_231)
| v1_xboole_0(U_231)
| ~ m1_subset_1(U_232,U_231) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
cnf(f_124_3,plain,
( r2_hidden(U_232,U_231)
| v1_xboole_0(U_231)
| ~ m1_subset_1(U_232,U_231) ),
inference(clausify,[status(thm)],[f_124_2]) ).
fof(f_125_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_125_2,plain,
! [U_234,U_233] :
( ( m1_subset_1(U_234,k1_zfmisc_1(U_233))
| ~ r1_tarski(U_234,U_233) )
& ( r1_tarski(U_234,U_233)
| ~ m1_subset_1(U_234,k1_zfmisc_1(U_233)) ) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
( ! [U_238,U_236] :
( m1_subset_1(U_238,k1_zfmisc_1(U_236))
| ~ r1_tarski(U_238,U_236) )
& ! [U_237,U_235] :
( r1_tarski(U_237,U_235)
| ~ m1_subset_1(U_237,k1_zfmisc_1(U_235)) ) ),
inference(miniscope,[status(thm)],[f_125_2]) ).
cnf(f_125_4,plain,
( r1_tarski(U_237,U_235)
| ~ m1_subset_1(U_237,k1_zfmisc_1(U_235)) ),
inference(clausify,[status(thm)],[f_125_3]) ).
cnf(f_125_5,plain,
( m1_subset_1(U_238,k1_zfmisc_1(U_236))
| ~ r1_tarski(U_238,U_236) ),
inference(clausify,[status(thm)],[f_125_3]) ).
fof(f_126_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_126_2,plain,
! [U_241,U_240,U_239] :
( m1_subset_1(U_241,U_239)
| ~ m1_subset_1(U_240,k1_zfmisc_1(U_239))
| ~ r2_hidden(U_241,U_240) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
cnf(f_126_3,plain,
( m1_subset_1(U_241,U_239)
| ~ m1_subset_1(U_240,k1_zfmisc_1(U_239))
| ~ r2_hidden(U_241,U_240) ),
inference(clausify,[status(thm)],[f_126_2]) ).
fof(f_127_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_127_2,plain,
! [U_244,U_243,U_242] :
( ~ v1_xboole_0(U_242)
| ~ m1_subset_1(U_243,k1_zfmisc_1(U_242))
| ~ r2_hidden(U_244,U_243) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
! [U_244,U_243] :
( ! [U_242] :
( ~ v1_xboole_0(U_242)
| ~ m1_subset_1(U_243,k1_zfmisc_1(U_242)) )
| ~ r2_hidden(U_244,U_243) ),
inference(miniscope,[status(thm)],[f_127_2]) ).
cnf(f_127_4,plain,
( ~ v1_xboole_0(U_242)
| ~ m1_subset_1(U_243,k1_zfmisc_1(U_242))
| ~ r2_hidden(U_244,U_243) ),
inference(clausify,[status(thm)],[f_127_3]) ).
fof(f_128_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_128_2,plain,
! [U_245] :
( U_245 = k1_xboole_0
| ~ v1_xboole_0(U_245) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
cnf(f_128_3,plain,
( U_245 = k1_xboole_0
| ~ v1_xboole_0(U_245) ),
inference(clausify,[status(thm)],[f_128_2]) ).
fof(f_129_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_129_2,plain,
! [U_247,U_246] :
( ~ v1_xboole_0(U_246)
| ~ r2_hidden(U_247,U_246) ),
inference(variable_rename,[status(thm)],[f_129_1]) ).
cnf(f_129_3,plain,
( ~ v1_xboole_0(U_246)
| ~ r2_hidden(U_247,U_246) ),
inference(clausify,[status(thm)],[f_129_2]) ).
fof(f_130_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_130_2,plain,
! [U_249,U_248] :
( ~ v1_xboole_0(U_248)
| U_249 = U_248
| ~ v1_xboole_0(U_249) ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
! [U_249] :
( ! [U_248] :
( ~ v1_xboole_0(U_248)
| U_249 = U_248 )
| ~ v1_xboole_0(U_249) ),
inference(miniscope,[status(thm)],[f_130_2]) ).
cnf(f_130_4,plain,
( ~ v1_xboole_0(U_248)
| U_249 = U_248
| ~ v1_xboole_0(U_249) ),
inference(clausify,[status(thm)],[f_130_3]) ).
cnf(f_4_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_4_3]) ).
cnf(f_4_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_4_4]) ).
cnf(f_6_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_6_3]) ).
cnf(f_6_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_6_4]) ).
cnf(f_8_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_3]) ).
cnf(f_8_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_4]) ).
cnf(f_8_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_5]) ).
cnf(f_8_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_6]) ).
cnf(f_8_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_7]) ).
cnf(f_8_10_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_10]) ).
cnf(f_10_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_3]) ).
cnf(f_10_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_4]) ).
cnf(f_10_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_5]) ).
cnf(f_12_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_3]) ).
cnf(f_12_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_4]) ).
cnf(f_12_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_5]) ).
cnf(f_12_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_7]) ).
cnf(f_24_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_24_4]) ).
cnf(f_24_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_24_5]) ).
cnf(f_25_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_25_3]) ).
cnf(f_25_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_25_4]) ).
cnf(f_26_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_26_3]) ).
cnf(f_27_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_3]) ).
cnf(f_27_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_4]) ).
cnf(f_27_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_5]) ).
cnf(f_27_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_6]) ).
cnf(f_27_8_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_8]) ).
cnf(f_27_10_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_10]) ).
cnf(f_27_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_11]) ).
cnf(f_30_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_3]) ).
cnf(f_30_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_30_4]) ).
cnf(f_33_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_33_3]) ).
cnf(f_33_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_33_5]) ).
cnf(f_35_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_35_3]) ).
cnf(f_39_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_39_3]) ).
cnf(f_39_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_39_4]) ).
cnf(f_40_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_40_3]) ).
cnf(f_40_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_40_4]) ).
cnf(f_41_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_41_4]) ).
cnf(f_41_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_41_5]) ).
cnf(f_47_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_47_2]) ).
cnf(f_48_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_48_2]) ).
cnf(f_50_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_50_2]) ).
cnf(f_53_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_53_2]) ).
cnf(f_54_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_54_2]) ).
cnf(f_55_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_55_2]) ).
cnf(f_57_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_57_2]) ).
cnf(f_58_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_58_2]) ).
cnf(f_64_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_64_2]) ).
cnf(f_65_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_65_2]) ).
cnf(f_66_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_66_2]) ).
cnf(f_67_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_67_2]) ).
cnf(f_69_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_69_2]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( u1_struct_0(Eq_x_0) = u1_struct_0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( k1_waybel34(Eq_x_0,Eq_x_1,Eq_x_2) = k1_waybel34(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( k7_yellow_2(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k7_yellow_2(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( k7_waybel_0(Eq_x_0,Eq_x_1) = k7_waybel_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( k5_pre_topc(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k5_pre_topc(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( k2_yellow_0(Eq_x_0,Eq_x_1) = k2_yellow_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( k1_zfmisc_1(Eq_x_0) = k1_zfmisc_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( k2_zfmisc_1(Eq_x_0,Eq_x_1) = k2_zfmisc_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( k2_tarski(Eq_x_0,Eq_x_1) = k2_tarski(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( k1_struct_0(Eq_x_0,Eq_x_1) = k1_struct_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( k5_waybel_0(Eq_x_0,Eq_x_1) = k5_waybel_0(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( k1_waybel_1(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = k1_waybel_1(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( k4_tarski(Eq_x_0,Eq_x_1) = k4_tarski(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,
( k1_tarski(Eq_x_0) = k1_tarski(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( k10_relat_1(Eq_x_0,Eq_x_1) = k10_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_19,axiom,
( k1_funct_1(Eq_x_0,Eq_x_1) = k1_funct_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_20,axiom,
( sK7(Eq_x_0,Eq_x_1) = sK7(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,
( sK8(Eq_x_0) = sK8(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( sK9(Eq_x_0,Eq_x_1) = sK9(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( sK10(Eq_x_0,Eq_x_1) = sK10(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( sK14(Eq_x_0,Eq_x_1) = sK14(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( sK17(Eq_x_0,Eq_x_1) = sK17(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( sK18(Eq_x_0,Eq_x_1) = sK18(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( sK21(Eq_x_0) = sK21(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( sK24(Eq_x_0,Eq_x_1) = sK24(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,
( sK25(Eq_x_0) = sK25(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( sK26(Eq_x_0,Eq_x_1) = sK26(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( sK27(Eq_x_0) = sK27(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( sK28(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = sK28(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_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,
( l1_orders_2(Eq_y_0)
| ~ l1_orders_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_41,axiom,
( v1_funct_1(Eq_y_0)
| ~ v1_funct_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_42,axiom,
( v1_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( v17_waybel_0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v17_waybel_0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( m2_relset_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m2_relset_1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( 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_46,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_47,axiom,
( v1_membered(Eq_y_0)
| ~ v1_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_48,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_49,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_50,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_51,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_52,axiom,
( v2_membered(Eq_y_0)
| ~ v2_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,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_54,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_55,axiom,
( v3_membered(Eq_y_0)
| ~ v3_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_56,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_57,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_58,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_59,axiom,
( v4_membered(Eq_y_0)
| ~ v4_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_60,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_61,axiom,
( v5_membered(Eq_y_0)
| ~ v5_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_62,axiom,
( v4_ordinal2(Eq_y_0)
| ~ v4_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_63,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_64,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_65,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_66,axiom,
( v1_setfam_1(Eq_y_0)
| ~ v1_setfam_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_67,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_68,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_69,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_70,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_71,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_72,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_73,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_74,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_75,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_76,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_77,axiom,
( v3_waybel_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v3_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_78,axiom,
( r3_waybel_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ r3_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_79,axiom,
( r2_yellow_0(Eq_y_0,Eq_y_1)
| ~ r2_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_80,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_81,axiom,
( m1_waybel_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_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_82,axiom,
( v2_waybel_0(Eq_y_0,Eq_y_1)
| ~ v2_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_83,axiom,
( v13_waybel_0(Eq_y_0,Eq_y_1)
| ~ v13_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_84,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(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT352+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42 % Computer : n009.cluster.edu
% 0.08/0.42 % Model : x86_64 x86_64
% 0.08/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.42 % Memory : 8046.5625MB
% 0.08/0.42 % OS : Linux 6.8.0-71-generic
% 0.08/0.42 % CPULimit : 300
% 0.08/0.42 % WCLimit : 300
% 0.08/0.42 % DateTime : Sat Sep 19 13:36:11 UTC 2026
% 0.08/0.42 % CPUTime :
% 276.06/276.48 % SZS status Theorem for theBenchmark
% 276.06/276.48 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------