%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : TOP035+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 09:12:58 AM UTC 2026
% Result : Theorem 171.35s 171.65s
% Output : Proof 171.62s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t24_tsp_2,conjecture,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( C = D
=> k5_pre_topc(A,B,k1_tsp_2(A,B),k6_pre_topc(B,k1_struct_0(B,D))) = k6_pre_topc(A,k1_struct_0(A,C)) ) ) ) ) ),
file('theBenchmark.p',t24_tsp_2) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc10_membered,axiom,
! [A] :
( v1_membered(A)
=> ! [B] :
( m1_subset_1(B,A)
=> v1_xcmplx_0(B) ) ),
file('theBenchmark.p',cc10_membered) ).
fof(cc10_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( v2_t_0topsp(A)
& ~ v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( ~ v3_tdlat_3(A)
& ~ v2_tdlat_3(A)
& ~ v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc10_tsp_1) ).
fof(cc10_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( v2_tsp_2(B,A)
& v2_tex_2(B,A) )
=> ( ~ v1_borsuk_1(B,A)
& v2_pre_topc(B) ) ) ) ),
file('theBenchmark.p',cc10_tsp_2) ).
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_tsp_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ~ v3_struct_0(B)
=> ( v2_t_0topsp(B)
& ~ v3_struct_0(B) ) ) ) ),
file('theBenchmark.p',cc11_tsp_1) ).
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_tsp_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& ~ v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( ~ v2_tex_2(B,A)
& ~ v3_struct_0(B) )
=> ( ~ v2_t_0topsp(B)
& ~ v3_realset2(B)
& ~ v3_struct_0(B) ) ) ) ),
file('theBenchmark.p',cc12_tsp_1) ).
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_tsp_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& ~ v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( v2_t_0topsp(B)
& ~ v3_struct_0(B) )
=> ( v2_tex_2(B,A)
& ~ v3_struct_0(B) ) ) ) ),
file('theBenchmark.p',cc13_tsp_1) ).
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(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_membered,axiom,
! [A] :
( v5_membered(A)
=> v4_membered(A) ),
file('theBenchmark.p',cc1_membered) ).
fof(cc1_pre_topc,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> v2_pre_topc(B) ) ),
file('theBenchmark.p',cc1_pre_topc) ).
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_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_xboole_0(B)
=> ( v4_pre_topc(B,A)
& v3_pre_topc(B,A) ) ) ) ),
file('theBenchmark.p',cc1_tops_1) ).
fof(cc1_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( v3_realset2(A)
& ~ v3_struct_0(A) )
=> ( v2_t_0topsp(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc1_tsp_1) ).
fof(cc1_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> ( v2_t_0topsp(B)
& ~ v3_struct_0(B) ) ) ) ),
file('theBenchmark.p',cc1_tsp_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_membered,axiom,
! [A] :
( v4_membered(A)
=> v3_membered(A) ),
file('theBenchmark.p',cc2_membered) ).
fof(cc2_tops_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_xboole_0(B)
=> v2_tops_1(B,A) ) ) ),
file('theBenchmark.p',cc2_tops_1) ).
fof(cc2_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( ~ v2_t_0topsp(A)
& ~ v3_struct_0(A) )
=> ( ~ v3_realset2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc2_tsp_1) ).
fof(cc2_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( ~ v2_t_0topsp(B)
& ~ v3_struct_0(B) )
=> ( ~ v2_tsp_2(B,A)
& ~ v3_struct_0(B) ) ) ) ),
file('theBenchmark.p',cc2_tsp_2) ).
fof(cc3_membered,axiom,
! [A] :
( v3_membered(A)
=> v2_membered(A) ),
file('theBenchmark.p',cc3_membered) ).
fof(cc3_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v1_xboole_0(B)
=> v3_tops_1(B,A) ) ) ),
file('theBenchmark.p',cc3_tops_1) ).
fof(cc3_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc3_tsp_1) ).
fof(cc3_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( v2_tsp_2(B,A)
=> ( v1_tex_3(B,A)
& v2_pre_topc(B) ) ) ) ),
file('theBenchmark.p',cc3_tsp_2) ).
fof(cc4_membered,axiom,
! [A] :
( v2_membered(A)
=> v1_membered(A) ),
file('theBenchmark.p',cc4_membered) ).
fof(cc4_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( v3_tops_1(B,A)
=> v2_tops_1(B,A) ) ) ),
file('theBenchmark.p',cc4_tops_1) ).
fof(cc4_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( ~ v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( ~ v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc4_tsp_1) ).
fof(cc4_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ~ v1_tex_3(B,A)
=> ( ~ v2_tsp_2(B,A)
& v2_pre_topc(B) ) ) ) ),
file('theBenchmark.p',cc4_tsp_2) ).
fof(cc5_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( v2_tops_1(B,A)
& v4_pre_topc(B,A) )
=> ( v3_tops_1(B,A)
& v2_tops_1(B,A) ) ) ) ),
file('theBenchmark.p',cc5_tops_1) ).
fof(cc5_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( v2_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) )
=> ( ~ v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc5_tsp_1) ).
fof(cc5_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( v2_tsp_2(B,A)
& v1_tsep_1(B,A) )
=> ( ~ v2_tex_2(B,A)
& v2_pre_topc(B) ) ) ) ),
file('theBenchmark.p',cc5_tsp_2) ).
fof(cc6_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( v3_tops_1(B,A)
& v3_pre_topc(B,A) )
=> ( v3_tops_1(B,A)
& v2_tops_1(B,A)
& v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B)
& v4_pre_topc(B,A)
& v3_pre_topc(B,A)
& v1_xboole_0(B) ) ) ) ),
file('theBenchmark.p',cc6_tops_1) ).
fof(cc6_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( v2_t_0topsp(A)
& v2_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( v2_t_0topsp(A)
& v5_tdlat_3(A)
& v4_tdlat_3(A)
& v3_tdlat_3(A)
& v2_tdlat_3(A)
& v1_tdlat_3(A)
& v2_pre_topc(A)
& v3_realset2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc6_tsp_1) ).
fof(cc6_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( v2_tex_2(B,A)
& v1_tsep_1(B,A) )
=> ( ~ v2_tsp_2(B,A)
& v2_pre_topc(B) ) ) ) ),
file('theBenchmark.p',cc6_tsp_2) ).
fof(cc7_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) )
=> ( ~ v2_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc7_tsp_1) ).
fof(cc7_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( v2_tsp_2(B,A)
& v2_tex_2(B,A) )
=> ( ~ v1_tsep_1(B,A)
& v2_pre_topc(B) ) ) ) ),
file('theBenchmark.p',cc7_tsp_2) ).
fof(cc8_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( v2_t_0topsp(A)
& v3_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( v2_t_0topsp(A)
& v5_tdlat_3(A)
& v4_tdlat_3(A)
& v3_tdlat_3(A)
& v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc8_tsp_1) ).
fof(cc8_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( v2_tsp_2(B,A)
& v1_borsuk_1(B,A) )
=> ( ~ v2_tex_2(B,A)
& v2_pre_topc(B) ) ) ) ),
file('theBenchmark.p',cc8_tsp_2) ).
fof(cc9_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ( ( v3_tdlat_3(A)
& ~ v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( ~ v2_t_0topsp(A)
& ~ v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc9_tsp_1) ).
fof(cc9_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_pre_topc(B,A)
=> ( ( v1_borsuk_1(B,A)
& v2_tex_2(B,A) )
=> ( ~ v2_tsp_2(B,A)
& v2_pre_topc(B) ) ) ) ),
file('theBenchmark.p',cc9_tsp_2) ).
fof(d9_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( C = k1_tsp_2(A,B)
<=> v3_borsuk_1(C,A,B) ) ) ) ),
file('theBenchmark.p',d9_tsp_2) ).
fof(dt_k10_relat_1,axiom,
$true,
file('theBenchmark.p',dt_k10_relat_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_tsp_2,axiom,
! [A,B] :
( ( m1_pre_topc(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B)
& l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ( m2_relset_1(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(k1_tsp_2(A,B),A,B)
& v1_funct_2(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(k1_tsp_2(A,B)) ) ),
file('theBenchmark.p',dt_k1_tsp_2) ).
fof(dt_k1_xboole_0,axiom,
$true,
file('theBenchmark.p',dt_k1_xboole_0) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k1_zfmisc_1) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k2_zfmisc_1) ).
fof(dt_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_k6_pre_topc,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A) )
=> m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A))) ),
file('theBenchmark.p',dt_k6_pre_topc) ).
fof(dt_l1_pre_topc,axiom,
! [A] :
( l1_pre_topc(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_pre_topc) ).
fof(dt_l1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_l1_struct_0) ).
fof(dt_m1_pre_topc,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m1_pre_topc(B,A)
=> l1_pre_topc(B) ) ),
file('theBenchmark.p',dt_m1_pre_topc) ).
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_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_m2_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m2_tsp_1(B,A)
=> l1_pre_topc(B) ) ),
file('theBenchmark.p',dt_m2_tsp_1) ).
fof(dt_u1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_u1_struct_0) ).
fof(existence_l1_pre_topc,axiom,
? [A] : l1_pre_topc(A),
file('theBenchmark.p',existence_l1_pre_topc) ).
fof(existence_l1_struct_0,axiom,
? [A] : l1_struct_0(A),
file('theBenchmark.p',existence_l1_struct_0) ).
fof(existence_m1_pre_topc,axiom,
! [A] :
( l1_pre_topc(A)
=> ? [B] : m1_pre_topc(B,A) ),
file('theBenchmark.p',existence_m1_pre_topc) ).
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_m2_relset_1,axiom,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
file('theBenchmark.p',existence_m2_relset_1) ).
fof(existence_m2_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ? [B] : m2_tsp_1(B,A) ),
file('theBenchmark.p',existence_m2_tsp_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(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(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_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
file('theBenchmark.p',fc1_subset_1) ).
fof(fc2_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_tarski(A)),
file('theBenchmark.p',fc2_subset_1) ).
fof(fc2_tops_1,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l1_pre_topc(A)
& v2_pre_topc(A) )
=> v4_pre_topc(k6_pre_topc(A,B),A) ),
file('theBenchmark.p',fc2_tops_1) ).
fof(fc4_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
file('theBenchmark.p',fc4_subset_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(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(l33_tsp_2,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(C,A,B)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
=> ( v3_borsuk_1(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ( D = E
=> k5_pre_topc(A,B,C,k6_pre_topc(B,k1_struct_0(B,E))) = k6_pre_topc(A,k1_struct_0(A,D)) ) ) ) ) ) ) ),
file('theBenchmark.p',l33_tsp_2) ).
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_subset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc1_subset_1) ).
fof(rc1_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ? [B] :
( v3_pre_topc(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc1_tops_1) ).
fof(rc2_subset_1,axiom,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
file('theBenchmark.p',rc2_subset_1) ).
fof(rc2_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ? [B] :
( v4_pre_topc(B,A)
& v3_pre_topc(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc2_tops_1) ).
fof(rc3_struct_0,axiom,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
file('theBenchmark.p',rc3_struct_0) ).
fof(rc3_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v4_pre_topc(B,A)
& v3_pre_topc(B,A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc3_tops_1) ).
fof(rc4_tops_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ? [B] :
( v2_tops_1(B,A)
& v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B)
& v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc4_tops_1) ).
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(rc5_tops_1,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ? [B] :
( v3_tops_1(B,A)
& v2_tops_1(B,A)
& v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B)
& v4_pre_topc(B,A)
& v3_pre_topc(B,A)
& v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc5_tops_1) ).
fof(rc6_pre_topc,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A) )
=> ? [B] :
( v4_pre_topc(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc6_pre_topc) ).
fof(rc7_pre_topc,axiom,
! [A] :
( ( l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( v4_pre_topc(B,A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc7_pre_topc) ).
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_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_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('theBenchmark.p',redefinition_m2_relset_1) ).
fof(redefinition_m2_tsp_1,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( m2_tsp_1(B,A)
<=> m1_pre_topc(B,A) ) ),
file('theBenchmark.p',redefinition_m2_tsp_1) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('theBenchmark.p',t1_subset) ).
fof(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_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( C = D
=> k5_pre_topc(A,B,k1_tsp_2(A,B),k6_pre_topc(B,k1_struct_0(B,D))) = k6_pre_topc(A,k1_struct_0(A,C)) ) ) ) ) ),
inference(negate,[status(cth)],[t24_tsp_2]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( k5_pre_topc(A,B,k1_tsp_2(A,B),k6_pre_topc(B,k1_struct_0(B,D))) != k6_pre_topc(A,k1_struct_0(A,C))
& C = D
& m1_subset_1(D,u1_struct_0(B)) )
& m1_subset_1(C,u1_struct_0(A)) )
& m2_tsp_1(B,A)
& v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
& l1_pre_topc(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_3] :
( ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( k5_pre_topc(U_3,U_2,k1_tsp_2(U_3,U_2),k6_pre_topc(U_2,k1_struct_0(U_2,U_0))) != k6_pre_topc(U_3,k1_struct_0(U_3,U_1))
& U_1 = U_0
& m1_subset_1(U_0,u1_struct_0(U_2)) )
& m1_subset_1(U_1,u1_struct_0(U_3)) )
& m2_tsp_1(U_2,U_3)
& v2_tsp_2(U_2,U_3)
& ~ v3_struct_0(U_2) )
& l1_pre_topc(U_3)
& v2_pre_topc(U_3)
& ~ v3_struct_0(U_3) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_2] :
( ? [U_1] :
( ? [U_0] :
( k5_pre_topc(sK1,U_2,k1_tsp_2(sK1,U_2),k6_pre_topc(U_2,k1_struct_0(U_2,U_0))) != k6_pre_topc(sK1,k1_struct_0(sK1,U_1))
& U_1 = U_0
& m1_subset_1(U_0,u1_struct_0(U_2)) )
& m1_subset_1(U_1,u1_struct_0(sK1)) )
& m2_tsp_1(U_2,sK1)
& v2_tsp_2(U_2,sK1)
& ~ v3_struct_0(U_2) )
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(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] :
( k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,U_0))) != k6_pre_topc(sK1,k1_struct_0(sK1,U_1))
& U_1 = U_0
& m1_subset_1(U_0,u1_struct_0(sK2)) )
& m1_subset_1(U_1,u1_struct_0(sK1)) )
& m2_tsp_1(sK2,sK1)
& v2_tsp_2(sK2,sK1)
& ~ v3_struct_0(sK2)
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_0] :
( k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,U_0))) != k6_pre_topc(sK1,k1_struct_0(sK1,sK3))
& sK3 = U_0
& m1_subset_1(U_0,u1_struct_0(sK2)) )
& m1_subset_1(sK3,u1_struct_0(sK1))
& m2_tsp_1(sK2,sK1)
& v2_tsp_2(sK2,sK1)
& ~ v3_struct_0(sK2)
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_1,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,sK4))) != k6_pre_topc(sK1,k1_struct_0(sK1,sK3))
& sK3 = sK4
& m1_subset_1(sK4,u1_struct_0(sK2))
& m1_subset_1(sK3,u1_struct_0(sK1))
& m2_tsp_1(sK2,sK1)
& v2_tsp_2(sK2,sK1)
& ~ v3_struct_0(sK2)
& l1_pre_topc(sK1)
& v2_pre_topc(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_0,sK4)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
~ v3_struct_0(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
v2_pre_topc(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
l1_pre_topc(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
~ v3_struct_0(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_12,negated_conjecture,
v2_tsp_2(sK2,sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_13,negated_conjecture,
m2_tsp_1(sK2,sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_14,negated_conjecture,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_15,negated_conjecture,
m1_subset_1(sK4,u1_struct_0(sK2)),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_16,negated_conjecture,
sK3 = sK4,
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_17,negated_conjecture,
k5_pre_topc(sK1,sK2,k1_tsp_2(sK1,sK2),k6_pre_topc(sK2,k1_struct_0(sK2,sK4))) != k6_pre_topc(sK1,k1_struct_0(sK1,sK3)),
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] :
( ( ~ v3_tdlat_3(A)
& ~ v2_tdlat_3(A)
& ~ v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) )
| ~ v2_t_0topsp(A)
| v1_tdlat_3(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc10_tsp_1]) ).
fof(f_4_2,plain,
! [U_8] :
( ( ~ v3_tdlat_3(U_8)
& ~ v2_tdlat_3(U_8)
& ~ v1_tdlat_3(U_8)
& v2_pre_topc(U_8)
& ~ v3_realset2(U_8)
& ~ v3_struct_0(U_8) )
| ~ v2_t_0topsp(U_8)
| v1_tdlat_3(U_8)
| ~ v2_pre_topc(U_8)
| v3_struct_0(U_8)
| ~ l1_pre_topc(U_8) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( ~ v3_struct_0(U_8)
| ~ v2_t_0topsp(U_8)
| v1_tdlat_3(U_8)
| ~ v2_pre_topc(U_8)
| v3_struct_0(U_8)
| ~ l1_pre_topc(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( ~ v3_realset2(U_8)
| ~ v2_t_0topsp(U_8)
| v1_tdlat_3(U_8)
| ~ v2_pre_topc(U_8)
| v3_struct_0(U_8)
| ~ l1_pre_topc(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_5,plain,
( v2_pre_topc(U_8)
| ~ v2_t_0topsp(U_8)
| v1_tdlat_3(U_8)
| ~ v2_pre_topc(U_8)
| v3_struct_0(U_8)
| ~ l1_pre_topc(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_6,plain,
( ~ v1_tdlat_3(U_8)
| ~ v2_t_0topsp(U_8)
| v1_tdlat_3(U_8)
| ~ v2_pre_topc(U_8)
| v3_struct_0(U_8)
| ~ l1_pre_topc(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_7,plain,
( ~ v2_tdlat_3(U_8)
| ~ v2_t_0topsp(U_8)
| v1_tdlat_3(U_8)
| ~ v2_pre_topc(U_8)
| v3_struct_0(U_8)
| ~ l1_pre_topc(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
cnf(f_4_8,plain,
( ~ v3_tdlat_3(U_8)
| ~ v2_t_0topsp(U_8)
| v1_tdlat_3(U_8)
| ~ v2_pre_topc(U_8)
| v3_struct_0(U_8)
| ~ l1_pre_topc(U_8) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [A] :
( ! [B] :
( ( ~ v1_borsuk_1(B,A)
& v2_pre_topc(B) )
| ~ v2_tsp_2(B,A)
| ~ v2_tex_2(B,A)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc10_tsp_2]) ).
fof(f_5_2,plain,
! [U_10] :
( ! [U_9] :
( ( ~ v1_borsuk_1(U_9,U_10)
& v2_pre_topc(U_9) )
| ~ v2_tsp_2(U_9,U_10)
| ~ v2_tex_2(U_9,U_10)
| ~ m1_pre_topc(U_9,U_10) )
| ~ l1_pre_topc(U_10)
| ~ v2_pre_topc(U_10)
| v3_struct_0(U_10) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( v2_pre_topc(U_9)
| ~ v2_tsp_2(U_9,U_10)
| ~ v2_tex_2(U_9,U_10)
| ~ m1_pre_topc(U_9,U_10)
| ~ l1_pre_topc(U_10)
| ~ v2_pre_topc(U_10)
| v3_struct_0(U_10) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(f_5_4,plain,
( ~ v1_borsuk_1(U_9,U_10)
| ~ v2_tsp_2(U_9,U_10)
| ~ v2_tex_2(U_9,U_10)
| ~ m1_pre_topc(U_9,U_10)
| ~ l1_pre_topc(U_10)
| ~ v2_pre_topc(U_10)
| v3_struct_0(U_10) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A] :
( ! [B] :
( ( v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc11_membered]) ).
fof(f_6_2,plain,
! [U_12] :
( ! [U_11] :
( ( v1_xreal_0(U_11)
& v1_xcmplx_0(U_11) )
| ~ m1_subset_1(U_11,U_12) )
| ~ v2_membered(U_12) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( v1_xcmplx_0(U_11)
| ~ m1_subset_1(U_11,U_12)
| ~ v2_membered(U_12) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( v1_xreal_0(U_11)
| ~ m1_subset_1(U_11,U_12)
| ~ v2_membered(U_12) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A] :
( ! [B] :
( ( v2_t_0topsp(B)
& ~ v3_struct_0(B) )
| v3_struct_0(B)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_t_0topsp(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc11_tsp_1]) ).
fof(f_7_2,plain,
! [U_14] :
( ! [U_13] :
( ( v2_t_0topsp(U_13)
& ~ v3_struct_0(U_13) )
| v3_struct_0(U_13)
| ~ m1_pre_topc(U_13,U_14) )
| ~ l1_pre_topc(U_14)
| ~ v2_t_0topsp(U_14)
| ~ v2_pre_topc(U_14)
| v3_struct_0(U_14) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( ~ v3_struct_0(U_13)
| v3_struct_0(U_13)
| ~ m1_pre_topc(U_13,U_14)
| ~ l1_pre_topc(U_14)
| ~ v2_t_0topsp(U_14)
| ~ v2_pre_topc(U_14)
| v3_struct_0(U_14) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( v2_t_0topsp(U_13)
| v3_struct_0(U_13)
| ~ m1_pre_topc(U_13,U_14)
| ~ l1_pre_topc(U_14)
| ~ v2_t_0topsp(U_14)
| ~ v2_pre_topc(U_14)
| v3_struct_0(U_14) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc12_membered]) ).
fof(f_8_2,plain,
! [U_16] :
( ! [U_15] :
( ( v1_rat_1(U_15)
& v1_xreal_0(U_15)
& v1_xcmplx_0(U_15) )
| ~ m1_subset_1(U_15,U_16) )
| ~ v3_membered(U_16) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( v1_xcmplx_0(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v3_membered(U_16) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( v1_xreal_0(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v3_membered(U_16) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_5,plain,
( v1_rat_1(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v3_membered(U_16) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [A] :
( ! [B] :
( ( ~ v2_t_0topsp(B)
& ~ v3_realset2(B)
& ~ v3_struct_0(B) )
| v2_tex_2(B,A)
| v3_struct_0(B)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| v2_t_0topsp(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc12_tsp_1]) ).
fof(f_9_2,plain,
! [U_18] :
( ! [U_17] :
( ( ~ v2_t_0topsp(U_17)
& ~ v3_realset2(U_17)
& ~ v3_struct_0(U_17) )
| v2_tex_2(U_17,U_18)
| v3_struct_0(U_17)
| ~ m1_pre_topc(U_17,U_18) )
| ~ l1_pre_topc(U_18)
| v2_t_0topsp(U_18)
| ~ v2_pre_topc(U_18)
| v3_struct_0(U_18) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( ~ v3_struct_0(U_17)
| v2_tex_2(U_17,U_18)
| v3_struct_0(U_17)
| ~ m1_pre_topc(U_17,U_18)
| ~ l1_pre_topc(U_18)
| v2_t_0topsp(U_18)
| ~ v2_pre_topc(U_18)
| v3_struct_0(U_18) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( ~ v3_realset2(U_17)
| v2_tex_2(U_17,U_18)
| v3_struct_0(U_17)
| ~ m1_pre_topc(U_17,U_18)
| ~ l1_pre_topc(U_18)
| v2_t_0topsp(U_18)
| ~ v2_pre_topc(U_18)
| v3_struct_0(U_18) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_5,plain,
( ~ v2_t_0topsp(U_17)
| v2_tex_2(U_17,U_18)
| v3_struct_0(U_17)
| ~ m1_pre_topc(U_17,U_18)
| ~ l1_pre_topc(U_18)
| v2_t_0topsp(U_18)
| ~ v2_pre_topc(U_18)
| v3_struct_0(U_18) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_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_10_2,plain,
! [U_20] :
( ! [U_19] :
( ( v1_rat_1(U_19)
& v1_int_1(U_19)
& v1_xreal_0(U_19)
& v1_xcmplx_0(U_19) )
| ~ m1_subset_1(U_19,U_20) )
| ~ v4_membered(U_20) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( v1_xcmplx_0(U_19)
| ~ m1_subset_1(U_19,U_20)
| ~ v4_membered(U_20) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( v1_xreal_0(U_19)
| ~ m1_subset_1(U_19,U_20)
| ~ v4_membered(U_20) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_5,plain,
( v1_int_1(U_19)
| ~ m1_subset_1(U_19,U_20)
| ~ v4_membered(U_20) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_6,plain,
( v1_rat_1(U_19)
| ~ m1_subset_1(U_19,U_20)
| ~ v4_membered(U_20) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [A] :
( ! [B] :
( ( v2_tex_2(B,A)
& ~ v3_struct_0(B) )
| ~ v2_t_0topsp(B)
| v3_struct_0(B)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| v2_t_0topsp(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc13_tsp_1]) ).
fof(f_11_2,plain,
! [U_22] :
( ! [U_21] :
( ( v2_tex_2(U_21,U_22)
& ~ v3_struct_0(U_21) )
| ~ v2_t_0topsp(U_21)
| v3_struct_0(U_21)
| ~ m1_pre_topc(U_21,U_22) )
| ~ l1_pre_topc(U_22)
| v2_t_0topsp(U_22)
| ~ v2_pre_topc(U_22)
| v3_struct_0(U_22) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( ~ v3_struct_0(U_21)
| ~ v2_t_0topsp(U_21)
| v3_struct_0(U_21)
| ~ m1_pre_topc(U_21,U_22)
| ~ l1_pre_topc(U_22)
| v2_t_0topsp(U_22)
| ~ v2_pre_topc(U_22)
| v3_struct_0(U_22) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( v2_tex_2(U_21,U_22)
| ~ v2_t_0topsp(U_21)
| v3_struct_0(U_21)
| ~ m1_pre_topc(U_21,U_22)
| ~ l1_pre_topc(U_22)
| v2_t_0topsp(U_22)
| ~ v2_pre_topc(U_22)
| v3_struct_0(U_22) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_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_12_2,plain,
! [U_24] :
( ! [U_23] :
( ( v1_rat_1(U_23)
& v1_int_1(U_23)
& v1_xreal_0(U_23)
& v4_ordinal2(U_23)
& v1_xcmplx_0(U_23) )
| ~ m1_subset_1(U_23,U_24) )
| ~ v5_membered(U_24) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( v1_xcmplx_0(U_23)
| ~ m1_subset_1(U_23,U_24)
| ~ v5_membered(U_24) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( v4_ordinal2(U_23)
| ~ m1_subset_1(U_23,U_24)
| ~ v5_membered(U_24) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_5,plain,
( v1_xreal_0(U_23)
| ~ m1_subset_1(U_23,U_24)
| ~ v5_membered(U_24) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_6,plain,
( v1_int_1(U_23)
| ~ m1_subset_1(U_23,U_24)
| ~ v5_membered(U_24) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_7,plain,
( v1_rat_1(U_23)
| ~ m1_subset_1(U_23,U_24)
| ~ v5_membered(U_24) ),
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_25] :
( ( v5_membered(U_25)
& v4_membered(U_25)
& v3_membered(U_25)
& v2_membered(U_25)
& v1_membered(U_25) )
| ~ v1_xboole_0(U_25) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( v1_membered(U_25)
| ~ v1_xboole_0(U_25) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( v2_membered(U_25)
| ~ v1_xboole_0(U_25) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_5,plain,
( v3_membered(U_25)
| ~ v1_xboole_0(U_25) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_6,plain,
( v4_membered(U_25)
| ~ v1_xboole_0(U_25) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_7,plain,
( v5_membered(U_25)
| ~ v1_xboole_0(U_25) ),
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_27] :
( ! [U_26] :
( v1_membered(U_26)
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27)) )
| ~ v1_membered(U_27) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( v1_membered(U_26)
| ~ m1_subset_1(U_26,k1_zfmisc_1(U_27))
| ~ v1_membered(U_27) ),
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_29] :
( ! [U_28] :
( ( v2_membered(U_28)
& v1_membered(U_28) )
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29)) )
| ~ v2_membered(U_29) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( v1_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v2_membered(U_29) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_4,plain,
( v2_membered(U_28)
| ~ m1_subset_1(U_28,k1_zfmisc_1(U_29))
| ~ v2_membered(U_29) ),
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_31] :
( ! [U_30] :
( ( v3_membered(U_30)
& v2_membered(U_30)
& v1_membered(U_30) )
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31)) )
| ~ v3_membered(U_31) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( v1_membered(U_30)
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31))
| ~ v3_membered(U_31) ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_4,plain,
( v2_membered(U_30)
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31))
| ~ v3_membered(U_31) ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_5,plain,
( v3_membered(U_30)
| ~ m1_subset_1(U_30,k1_zfmisc_1(U_31))
| ~ v3_membered(U_31) ),
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_33] :
( ! [U_32] :
( ( v4_membered(U_32)
& v3_membered(U_32)
& v2_membered(U_32)
& v1_membered(U_32) )
| ~ m1_subset_1(U_32,k1_zfmisc_1(U_33)) )
| ~ v4_membered(U_33) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( v1_membered(U_32)
| ~ m1_subset_1(U_32,k1_zfmisc_1(U_33))
| ~ v4_membered(U_33) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( v2_membered(U_32)
| ~ m1_subset_1(U_32,k1_zfmisc_1(U_33))
| ~ v4_membered(U_33) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_5,plain,
( v3_membered(U_32)
| ~ m1_subset_1(U_32,k1_zfmisc_1(U_33))
| ~ v4_membered(U_33) ),
inference(clausify,[status(thm)],[f_17_2]) ).
cnf(f_17_6,plain,
( v4_membered(U_32)
| ~ m1_subset_1(U_32,k1_zfmisc_1(U_33))
| ~ v4_membered(U_33) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [A] :
( v4_membered(A)
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc1_membered]) ).
fof(f_18_2,plain,
! [U_34] :
( v4_membered(U_34)
| ~ v5_membered(U_34) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( v4_membered(U_34)
| ~ v5_membered(U_34) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [A] :
( ! [B] :
( v2_pre_topc(B)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc1_pre_topc]) ).
fof(f_19_2,plain,
! [U_36] :
( ! [U_35] :
( v2_pre_topc(U_35)
| ~ m1_pre_topc(U_35,U_36) )
| ~ l1_pre_topc(U_36)
| ~ v2_pre_topc(U_36) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( v2_pre_topc(U_35)
| ~ m1_pre_topc(U_35,U_36)
| ~ l1_pre_topc(U_36)
| ~ v2_pre_topc(U_36) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_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_20_2,plain,
! [U_39,U_38,U_37] :
( v1_relat_1(U_37)
| ~ m1_subset_1(U_37,k1_zfmisc_1(k2_zfmisc_1(U_39,U_38))) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( v1_relat_1(U_37)
| ~ m1_subset_1(U_37,k1_zfmisc_1(k2_zfmisc_1(U_39,U_38))) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [A] :
( ! [B] :
( ( v4_pre_topc(B,A)
& v3_pre_topc(B,A) )
| ~ v1_xboole_0(B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc1_tops_1]) ).
fof(f_21_2,plain,
! [U_41] :
( ! [U_40] :
( ( v4_pre_topc(U_40,U_41)
& v3_pre_topc(U_40,U_41) )
| ~ v1_xboole_0(U_40)
| ~ m1_subset_1(U_40,k1_zfmisc_1(u1_struct_0(U_41))) )
| ~ l1_pre_topc(U_41)
| ~ v2_pre_topc(U_41) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( v3_pre_topc(U_40,U_41)
| ~ v1_xboole_0(U_40)
| ~ m1_subset_1(U_40,k1_zfmisc_1(u1_struct_0(U_41)))
| ~ l1_pre_topc(U_41)
| ~ v2_pre_topc(U_41) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_4,plain,
( v4_pre_topc(U_40,U_41)
| ~ v1_xboole_0(U_40)
| ~ m1_subset_1(U_40,k1_zfmisc_1(u1_struct_0(U_41)))
| ~ l1_pre_topc(U_41)
| ~ v2_pre_topc(U_41) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_1,plain,
! [A] :
( ( v2_t_0topsp(A)
& ~ v3_struct_0(A) )
| ~ v3_realset2(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc1_tsp_1]) ).
fof(f_22_2,plain,
! [U_42] :
( ( v2_t_0topsp(U_42)
& ~ v3_struct_0(U_42) )
| ~ v3_realset2(U_42)
| v3_struct_0(U_42)
| ~ l1_pre_topc(U_42) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( ~ v3_struct_0(U_42)
| ~ v3_realset2(U_42)
| v3_struct_0(U_42)
| ~ l1_pre_topc(U_42) ),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(f_22_4,plain,
( v2_t_0topsp(U_42)
| ~ v3_realset2(U_42)
| v3_struct_0(U_42)
| ~ l1_pre_topc(U_42) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [A] :
( ! [B] :
( ( v2_t_0topsp(B)
& ~ v3_struct_0(B) )
| ~ v2_tsp_2(B,A)
| v3_struct_0(B)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_tsp_2]) ).
fof(f_23_2,plain,
! [U_44] :
( ! [U_43] :
( ( v2_t_0topsp(U_43)
& ~ v3_struct_0(U_43) )
| ~ v2_tsp_2(U_43,U_44)
| v3_struct_0(U_43)
| ~ m1_pre_topc(U_43,U_44) )
| ~ l1_pre_topc(U_44)
| v3_struct_0(U_44) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( ~ v3_struct_0(U_43)
| ~ v2_tsp_2(U_43,U_44)
| v3_struct_0(U_43)
| ~ m1_pre_topc(U_43,U_44)
| ~ l1_pre_topc(U_44)
| v3_struct_0(U_44) ),
inference(clausify,[status(thm)],[f_23_2]) ).
cnf(f_23_4,plain,
( v2_t_0topsp(U_43)
| ~ v2_tsp_2(U_43,U_44)
| v3_struct_0(U_43)
| ~ m1_pre_topc(U_43,U_44)
| ~ l1_pre_topc(U_44)
| v3_struct_0(U_44) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_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_24_2,plain,
! [U_46] :
( ! [U_45] :
( ( v5_membered(U_45)
& v4_membered(U_45)
& v3_membered(U_45)
& v2_membered(U_45)
& v1_membered(U_45) )
| ~ m1_subset_1(U_45,k1_zfmisc_1(U_46)) )
| ~ v5_membered(U_46) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( v1_membered(U_45)
| ~ m1_subset_1(U_45,k1_zfmisc_1(U_46))
| ~ v5_membered(U_46) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( v2_membered(U_45)
| ~ m1_subset_1(U_45,k1_zfmisc_1(U_46))
| ~ v5_membered(U_46) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_5,plain,
( v3_membered(U_45)
| ~ m1_subset_1(U_45,k1_zfmisc_1(U_46))
| ~ v5_membered(U_46) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_6,plain,
( v4_membered(U_45)
| ~ m1_subset_1(U_45,k1_zfmisc_1(U_46))
| ~ v5_membered(U_46) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_7,plain,
( v5_membered(U_45)
| ~ m1_subset_1(U_45,k1_zfmisc_1(U_46))
| ~ v5_membered(U_46) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
! [A] :
( v3_membered(A)
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc2_membered]) ).
fof(f_25_2,plain,
! [U_47] :
( v3_membered(U_47)
| ~ v4_membered(U_47) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( v3_membered(U_47)
| ~ v4_membered(U_47) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [A] :
( ! [B] :
( v2_tops_1(B,A)
| ~ v1_xboole_0(B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc2_tops_1]) ).
fof(f_26_2,plain,
! [U_49] :
( ! [U_48] :
( v2_tops_1(U_48,U_49)
| ~ v1_xboole_0(U_48)
| ~ m1_subset_1(U_48,k1_zfmisc_1(u1_struct_0(U_49))) )
| ~ l1_pre_topc(U_49) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( v2_tops_1(U_48,U_49)
| ~ v1_xboole_0(U_48)
| ~ m1_subset_1(U_48,k1_zfmisc_1(u1_struct_0(U_49)))
| ~ l1_pre_topc(U_49) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
! [A] :
( ( ~ v3_realset2(A)
& ~ v3_struct_0(A) )
| v2_t_0topsp(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc2_tsp_1]) ).
fof(f_27_2,plain,
! [U_50] :
( ( ~ v3_realset2(U_50)
& ~ v3_struct_0(U_50) )
| v2_t_0topsp(U_50)
| v3_struct_0(U_50)
| ~ l1_pre_topc(U_50) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( ~ v3_struct_0(U_50)
| v2_t_0topsp(U_50)
| v3_struct_0(U_50)
| ~ l1_pre_topc(U_50) ),
inference(clausify,[status(thm)],[f_27_2]) ).
cnf(f_27_4,plain,
( ~ v3_realset2(U_50)
| v2_t_0topsp(U_50)
| v3_struct_0(U_50)
| ~ l1_pre_topc(U_50) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
! [A] :
( ! [B] :
( ( ~ v2_tsp_2(B,A)
& ~ v3_struct_0(B) )
| v2_t_0topsp(B)
| v3_struct_0(B)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc2_tsp_2]) ).
fof(f_28_2,plain,
! [U_52] :
( ! [U_51] :
( ( ~ v2_tsp_2(U_51,U_52)
& ~ v3_struct_0(U_51) )
| v2_t_0topsp(U_51)
| v3_struct_0(U_51)
| ~ m1_pre_topc(U_51,U_52) )
| ~ l1_pre_topc(U_52)
| v3_struct_0(U_52) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( ~ v3_struct_0(U_51)
| v2_t_0topsp(U_51)
| v3_struct_0(U_51)
| ~ m1_pre_topc(U_51,U_52)
| ~ l1_pre_topc(U_52)
| v3_struct_0(U_52) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_4,plain,
( ~ v2_tsp_2(U_51,U_52)
| v2_t_0topsp(U_51)
| v3_struct_0(U_51)
| ~ m1_pre_topc(U_51,U_52)
| ~ l1_pre_topc(U_52)
| v3_struct_0(U_52) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [A] :
( v2_membered(A)
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc3_membered]) ).
fof(f_29_2,plain,
! [U_53] :
( v2_membered(U_53)
| ~ v3_membered(U_53) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( v2_membered(U_53)
| ~ v3_membered(U_53) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [A] :
( ! [B] :
( v3_tops_1(B,A)
| ~ v1_xboole_0(B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc3_tops_1]) ).
fof(f_30_2,plain,
! [U_55] :
( ! [U_54] :
( v3_tops_1(U_54,U_55)
| ~ v1_xboole_0(U_54)
| ~ m1_subset_1(U_54,k1_zfmisc_1(u1_struct_0(U_55))) )
| ~ l1_pre_topc(U_55)
| ~ v2_pre_topc(U_55) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( v3_tops_1(U_54,U_55)
| ~ v1_xboole_0(U_54)
| ~ m1_subset_1(U_54,k1_zfmisc_1(u1_struct_0(U_55)))
| ~ l1_pre_topc(U_55)
| ~ v2_pre_topc(U_55) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [A] :
( ( v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
| ~ v1_tdlat_3(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc3_tsp_1]) ).
fof(f_31_2,plain,
! [U_56] :
( ( v2_t_0topsp(U_56)
& v2_pre_topc(U_56)
& ~ v3_struct_0(U_56) )
| ~ v1_tdlat_3(U_56)
| ~ v2_pre_topc(U_56)
| v3_struct_0(U_56)
| ~ l1_pre_topc(U_56) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( ~ v3_struct_0(U_56)
| ~ v1_tdlat_3(U_56)
| ~ v2_pre_topc(U_56)
| v3_struct_0(U_56)
| ~ l1_pre_topc(U_56) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( v2_pre_topc(U_56)
| ~ v1_tdlat_3(U_56)
| ~ v2_pre_topc(U_56)
| v3_struct_0(U_56)
| ~ l1_pre_topc(U_56) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_5,plain,
( v2_t_0topsp(U_56)
| ~ v1_tdlat_3(U_56)
| ~ v2_pre_topc(U_56)
| v3_struct_0(U_56)
| ~ l1_pre_topc(U_56) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [A] :
( ! [B] :
( ( v1_tex_3(B,A)
& v2_pre_topc(B) )
| ~ v2_tsp_2(B,A)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc3_tsp_2]) ).
fof(f_32_2,plain,
! [U_58] :
( ! [U_57] :
( ( v1_tex_3(U_57,U_58)
& v2_pre_topc(U_57) )
| ~ v2_tsp_2(U_57,U_58)
| ~ m1_pre_topc(U_57,U_58) )
| ~ l1_pre_topc(U_58)
| ~ v2_pre_topc(U_58)
| v3_struct_0(U_58) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( v2_pre_topc(U_57)
| ~ v2_tsp_2(U_57,U_58)
| ~ m1_pre_topc(U_57,U_58)
| ~ l1_pre_topc(U_58)
| ~ v2_pre_topc(U_58)
| v3_struct_0(U_58) ),
inference(clausify,[status(thm)],[f_32_2]) ).
cnf(f_32_4,plain,
( v1_tex_3(U_57,U_58)
| ~ v2_tsp_2(U_57,U_58)
| ~ m1_pre_topc(U_57,U_58)
| ~ l1_pre_topc(U_58)
| ~ v2_pre_topc(U_58)
| v3_struct_0(U_58) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [A] :
( v1_membered(A)
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc4_membered]) ).
fof(f_33_2,plain,
! [U_59] :
( v1_membered(U_59)
| ~ v2_membered(U_59) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( v1_membered(U_59)
| ~ v2_membered(U_59) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [A] :
( ! [B] :
( v2_tops_1(B,A)
| ~ v3_tops_1(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc4_tops_1]) ).
fof(f_34_2,plain,
! [U_61] :
( ! [U_60] :
( v2_tops_1(U_60,U_61)
| ~ v3_tops_1(U_60,U_61)
| ~ m1_subset_1(U_60,k1_zfmisc_1(u1_struct_0(U_61))) )
| ~ l1_pre_topc(U_61)
| ~ v2_pre_topc(U_61) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( v2_tops_1(U_60,U_61)
| ~ v3_tops_1(U_60,U_61)
| ~ m1_subset_1(U_60,k1_zfmisc_1(u1_struct_0(U_61)))
| ~ l1_pre_topc(U_61)
| ~ v2_pre_topc(U_61) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
! [A] :
( ( ~ v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) )
| v2_t_0topsp(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc4_tsp_1]) ).
fof(f_35_2,plain,
! [U_62] :
( ( ~ v1_tdlat_3(U_62)
& v2_pre_topc(U_62)
& ~ v3_realset2(U_62)
& ~ v3_struct_0(U_62) )
| v2_t_0topsp(U_62)
| ~ v2_pre_topc(U_62)
| v3_struct_0(U_62)
| ~ l1_pre_topc(U_62) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( ~ v3_struct_0(U_62)
| v2_t_0topsp(U_62)
| ~ v2_pre_topc(U_62)
| v3_struct_0(U_62)
| ~ l1_pre_topc(U_62) ),
inference(clausify,[status(thm)],[f_35_2]) ).
cnf(f_35_4,plain,
( ~ v3_realset2(U_62)
| v2_t_0topsp(U_62)
| ~ v2_pre_topc(U_62)
| v3_struct_0(U_62)
| ~ l1_pre_topc(U_62) ),
inference(clausify,[status(thm)],[f_35_2]) ).
cnf(f_35_5,plain,
( v2_pre_topc(U_62)
| v2_t_0topsp(U_62)
| ~ v2_pre_topc(U_62)
| v3_struct_0(U_62)
| ~ l1_pre_topc(U_62) ),
inference(clausify,[status(thm)],[f_35_2]) ).
cnf(f_35_6,plain,
( ~ v1_tdlat_3(U_62)
| v2_t_0topsp(U_62)
| ~ v2_pre_topc(U_62)
| v3_struct_0(U_62)
| ~ l1_pre_topc(U_62) ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
! [A] :
( ! [B] :
( ( ~ v2_tsp_2(B,A)
& v2_pre_topc(B) )
| v1_tex_3(B,A)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc4_tsp_2]) ).
fof(f_36_2,plain,
! [U_64] :
( ! [U_63] :
( ( ~ v2_tsp_2(U_63,U_64)
& v2_pre_topc(U_63) )
| v1_tex_3(U_63,U_64)
| ~ m1_pre_topc(U_63,U_64) )
| ~ l1_pre_topc(U_64)
| ~ v2_pre_topc(U_64)
| v3_struct_0(U_64) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( v2_pre_topc(U_63)
| v1_tex_3(U_63,U_64)
| ~ m1_pre_topc(U_63,U_64)
| ~ l1_pre_topc(U_64)
| ~ v2_pre_topc(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_36_2]) ).
cnf(f_36_4,plain,
( ~ v2_tsp_2(U_63,U_64)
| v1_tex_3(U_63,U_64)
| ~ m1_pre_topc(U_63,U_64)
| ~ l1_pre_topc(U_64)
| ~ v2_pre_topc(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
! [A] :
( ! [B] :
( ( v3_tops_1(B,A)
& v2_tops_1(B,A) )
| ~ v2_tops_1(B,A)
| ~ v4_pre_topc(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc5_tops_1]) ).
fof(f_37_2,plain,
! [U_66] :
( ! [U_65] :
( ( v3_tops_1(U_65,U_66)
& v2_tops_1(U_65,U_66) )
| ~ v2_tops_1(U_65,U_66)
| ~ v4_pre_topc(U_65,U_66)
| ~ m1_subset_1(U_65,k1_zfmisc_1(u1_struct_0(U_66))) )
| ~ l1_pre_topc(U_66)
| ~ v2_pre_topc(U_66) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( v2_tops_1(U_65,U_66)
| ~ v2_tops_1(U_65,U_66)
| ~ v4_pre_topc(U_65,U_66)
| ~ m1_subset_1(U_65,k1_zfmisc_1(u1_struct_0(U_66)))
| ~ l1_pre_topc(U_66)
| ~ v2_pre_topc(U_66) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_4,plain,
( v3_tops_1(U_65,U_66)
| ~ v2_tops_1(U_65,U_66)
| ~ v4_pre_topc(U_65,U_66)
| ~ m1_subset_1(U_65,k1_zfmisc_1(u1_struct_0(U_66)))
| ~ l1_pre_topc(U_66)
| ~ v2_pre_topc(U_66) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [A] :
( ( ~ v2_t_0topsp(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) )
| ~ v2_tdlat_3(A)
| ~ v2_pre_topc(A)
| v3_realset2(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc5_tsp_1]) ).
fof(f_38_2,plain,
! [U_67] :
( ( ~ v2_t_0topsp(U_67)
& v2_pre_topc(U_67)
& ~ v3_realset2(U_67)
& ~ v3_struct_0(U_67) )
| ~ v2_tdlat_3(U_67)
| ~ v2_pre_topc(U_67)
| v3_realset2(U_67)
| v3_struct_0(U_67)
| ~ l1_pre_topc(U_67) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( ~ v3_struct_0(U_67)
| ~ v2_tdlat_3(U_67)
| ~ v2_pre_topc(U_67)
| v3_realset2(U_67)
| v3_struct_0(U_67)
| ~ l1_pre_topc(U_67) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(f_38_4,plain,
( ~ v3_realset2(U_67)
| ~ v2_tdlat_3(U_67)
| ~ v2_pre_topc(U_67)
| v3_realset2(U_67)
| v3_struct_0(U_67)
| ~ l1_pre_topc(U_67) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(f_38_5,plain,
( v2_pre_topc(U_67)
| ~ v2_tdlat_3(U_67)
| ~ v2_pre_topc(U_67)
| v3_realset2(U_67)
| v3_struct_0(U_67)
| ~ l1_pre_topc(U_67) ),
inference(clausify,[status(thm)],[f_38_2]) ).
cnf(f_38_6,plain,
( ~ v2_t_0topsp(U_67)
| ~ v2_tdlat_3(U_67)
| ~ v2_pre_topc(U_67)
| v3_realset2(U_67)
| v3_struct_0(U_67)
| ~ l1_pre_topc(U_67) ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
! [A] :
( ! [B] :
( ( ~ v2_tex_2(B,A)
& v2_pre_topc(B) )
| ~ v2_tsp_2(B,A)
| ~ v1_tsep_1(B,A)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc5_tsp_2]) ).
fof(f_39_2,plain,
! [U_69] :
( ! [U_68] :
( ( ~ v2_tex_2(U_68,U_69)
& v2_pre_topc(U_68) )
| ~ v2_tsp_2(U_68,U_69)
| ~ v1_tsep_1(U_68,U_69)
| ~ m1_pre_topc(U_68,U_69) )
| ~ l1_pre_topc(U_69)
| ~ v2_pre_topc(U_69)
| v3_struct_0(U_69) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
cnf(f_39_3,plain,
( v2_pre_topc(U_68)
| ~ v2_tsp_2(U_68,U_69)
| ~ v1_tsep_1(U_68,U_69)
| ~ m1_pre_topc(U_68,U_69)
| ~ l1_pre_topc(U_69)
| ~ v2_pre_topc(U_69)
| v3_struct_0(U_69) ),
inference(clausify,[status(thm)],[f_39_2]) ).
cnf(f_39_4,plain,
( ~ v2_tex_2(U_68,U_69)
| ~ v2_tsp_2(U_68,U_69)
| ~ v1_tsep_1(U_68,U_69)
| ~ m1_pre_topc(U_68,U_69)
| ~ l1_pre_topc(U_69)
| ~ v2_pre_topc(U_69)
| v3_struct_0(U_69) ),
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_1,plain,
! [A] :
( ! [B] :
( ( v3_tops_1(B,A)
& v2_tops_1(B,A)
& v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B)
& v4_pre_topc(B,A)
& v3_pre_topc(B,A)
& v1_xboole_0(B) )
| ~ v3_tops_1(B,A)
| ~ v3_pre_topc(B,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc6_tops_1]) ).
fof(f_40_2,plain,
! [U_71] :
( ! [U_70] :
( ( v3_tops_1(U_70,U_71)
& v2_tops_1(U_70,U_71)
& v5_membered(U_70)
& v4_membered(U_70)
& v3_membered(U_70)
& v2_membered(U_70)
& v1_membered(U_70)
& v4_pre_topc(U_70,U_71)
& v3_pre_topc(U_70,U_71)
& v1_xboole_0(U_70) )
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71))) )
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
( v1_xboole_0(U_70)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_4,plain,
( v3_pre_topc(U_70,U_71)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_5,plain,
( v4_pre_topc(U_70,U_71)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_6,plain,
( v1_membered(U_70)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_7,plain,
( v2_membered(U_70)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_8,plain,
( v3_membered(U_70)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_9,plain,
( v4_membered(U_70)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_10,plain,
( v5_membered(U_70)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_11,plain,
( v2_tops_1(U_70,U_71)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_12,plain,
( v3_tops_1(U_70,U_71)
| ~ v3_tops_1(U_70,U_71)
| ~ v3_pre_topc(U_70,U_71)
| ~ m1_subset_1(U_70,k1_zfmisc_1(u1_struct_0(U_71)))
| ~ l1_pre_topc(U_71)
| ~ v2_pre_topc(U_71) ),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
! [A] :
( ( v2_t_0topsp(A)
& v5_tdlat_3(A)
& v4_tdlat_3(A)
& v3_tdlat_3(A)
& v2_tdlat_3(A)
& v1_tdlat_3(A)
& v2_pre_topc(A)
& v3_realset2(A)
& ~ v3_struct_0(A) )
| ~ v2_t_0topsp(A)
| ~ v2_tdlat_3(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc6_tsp_1]) ).
fof(f_41_2,plain,
! [U_72] :
( ( v2_t_0topsp(U_72)
& v5_tdlat_3(U_72)
& v4_tdlat_3(U_72)
& v3_tdlat_3(U_72)
& v2_tdlat_3(U_72)
& v1_tdlat_3(U_72)
& v2_pre_topc(U_72)
& v3_realset2(U_72)
& ~ v3_struct_0(U_72) )
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
( ~ v3_struct_0(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_4,plain,
( v3_realset2(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_5,plain,
( v2_pre_topc(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_6,plain,
( v1_tdlat_3(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_7,plain,
( v2_tdlat_3(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_8,plain,
( v3_tdlat_3(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_9,plain,
( v4_tdlat_3(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_10,plain,
( v5_tdlat_3(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
cnf(f_41_11,plain,
( v2_t_0topsp(U_72)
| ~ v2_t_0topsp(U_72)
| ~ v2_tdlat_3(U_72)
| ~ v2_pre_topc(U_72)
| v3_struct_0(U_72)
| ~ l1_pre_topc(U_72) ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
! [A] :
( ! [B] :
( ( ~ v2_tsp_2(B,A)
& v2_pre_topc(B) )
| ~ v2_tex_2(B,A)
| ~ v1_tsep_1(B,A)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc6_tsp_2]) ).
fof(f_42_2,plain,
! [U_74] :
( ! [U_73] :
( ( ~ v2_tsp_2(U_73,U_74)
& v2_pre_topc(U_73) )
| ~ v2_tex_2(U_73,U_74)
| ~ v1_tsep_1(U_73,U_74)
| ~ m1_pre_topc(U_73,U_74) )
| ~ l1_pre_topc(U_74)
| ~ v2_pre_topc(U_74)
| v3_struct_0(U_74) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( v2_pre_topc(U_73)
| ~ v2_tex_2(U_73,U_74)
| ~ v1_tsep_1(U_73,U_74)
| ~ m1_pre_topc(U_73,U_74)
| ~ l1_pre_topc(U_74)
| ~ v2_pre_topc(U_74)
| v3_struct_0(U_74) ),
inference(clausify,[status(thm)],[f_42_2]) ).
cnf(f_42_4,plain,
( ~ v2_tsp_2(U_73,U_74)
| ~ v2_tex_2(U_73,U_74)
| ~ v1_tsep_1(U_73,U_74)
| ~ m1_pre_topc(U_73,U_74)
| ~ l1_pre_topc(U_74)
| ~ v2_pre_topc(U_74)
| v3_struct_0(U_74) ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
! [A] :
( ( ~ v2_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) )
| ~ v2_t_0topsp(A)
| ~ v2_pre_topc(A)
| v3_realset2(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc7_tsp_1]) ).
fof(f_43_2,plain,
! [U_75] :
( ( ~ v2_tdlat_3(U_75)
& v2_pre_topc(U_75)
& ~ v3_realset2(U_75)
& ~ v3_struct_0(U_75) )
| ~ v2_t_0topsp(U_75)
| ~ v2_pre_topc(U_75)
| v3_realset2(U_75)
| v3_struct_0(U_75)
| ~ l1_pre_topc(U_75) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
( ~ v3_struct_0(U_75)
| ~ v2_t_0topsp(U_75)
| ~ v2_pre_topc(U_75)
| v3_realset2(U_75)
| v3_struct_0(U_75)
| ~ l1_pre_topc(U_75) ),
inference(clausify,[status(thm)],[f_43_2]) ).
cnf(f_43_4,plain,
( ~ v3_realset2(U_75)
| ~ v2_t_0topsp(U_75)
| ~ v2_pre_topc(U_75)
| v3_realset2(U_75)
| v3_struct_0(U_75)
| ~ l1_pre_topc(U_75) ),
inference(clausify,[status(thm)],[f_43_2]) ).
cnf(f_43_5,plain,
( v2_pre_topc(U_75)
| ~ v2_t_0topsp(U_75)
| ~ v2_pre_topc(U_75)
| v3_realset2(U_75)
| v3_struct_0(U_75)
| ~ l1_pre_topc(U_75) ),
inference(clausify,[status(thm)],[f_43_2]) ).
cnf(f_43_6,plain,
( ~ v2_tdlat_3(U_75)
| ~ v2_t_0topsp(U_75)
| ~ v2_pre_topc(U_75)
| v3_realset2(U_75)
| v3_struct_0(U_75)
| ~ l1_pre_topc(U_75) ),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
! [A] :
( ! [B] :
( ( ~ v1_tsep_1(B,A)
& v2_pre_topc(B) )
| ~ v2_tsp_2(B,A)
| ~ v2_tex_2(B,A)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc7_tsp_2]) ).
fof(f_44_2,plain,
! [U_77] :
( ! [U_76] :
( ( ~ v1_tsep_1(U_76,U_77)
& v2_pre_topc(U_76) )
| ~ v2_tsp_2(U_76,U_77)
| ~ v2_tex_2(U_76,U_77)
| ~ m1_pre_topc(U_76,U_77) )
| ~ l1_pre_topc(U_77)
| ~ v2_pre_topc(U_77)
| v3_struct_0(U_77) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
( v2_pre_topc(U_76)
| ~ v2_tsp_2(U_76,U_77)
| ~ v2_tex_2(U_76,U_77)
| ~ m1_pre_topc(U_76,U_77)
| ~ l1_pre_topc(U_77)
| ~ v2_pre_topc(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_4,plain,
( ~ v1_tsep_1(U_76,U_77)
| ~ v2_tsp_2(U_76,U_77)
| ~ v2_tex_2(U_76,U_77)
| ~ m1_pre_topc(U_76,U_77)
| ~ l1_pre_topc(U_77)
| ~ v2_pre_topc(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [A] :
( ( v2_t_0topsp(A)
& v5_tdlat_3(A)
& v4_tdlat_3(A)
& v3_tdlat_3(A)
& v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_struct_0(A) )
| ~ v2_t_0topsp(A)
| ~ v3_tdlat_3(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc8_tsp_1]) ).
fof(f_45_2,plain,
! [U_78] :
( ( v2_t_0topsp(U_78)
& v5_tdlat_3(U_78)
& v4_tdlat_3(U_78)
& v3_tdlat_3(U_78)
& v1_tdlat_3(U_78)
& v2_pre_topc(U_78)
& ~ v3_struct_0(U_78) )
| ~ v2_t_0topsp(U_78)
| ~ v3_tdlat_3(U_78)
| ~ v2_pre_topc(U_78)
| v3_struct_0(U_78)
| ~ l1_pre_topc(U_78) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
( ~ v3_struct_0(U_78)
| ~ v2_t_0topsp(U_78)
| ~ v3_tdlat_3(U_78)
| ~ v2_pre_topc(U_78)
| v3_struct_0(U_78)
| ~ l1_pre_topc(U_78) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_4,plain,
( v2_pre_topc(U_78)
| ~ v2_t_0topsp(U_78)
| ~ v3_tdlat_3(U_78)
| ~ v2_pre_topc(U_78)
| v3_struct_0(U_78)
| ~ l1_pre_topc(U_78) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_5,plain,
( v1_tdlat_3(U_78)
| ~ v2_t_0topsp(U_78)
| ~ v3_tdlat_3(U_78)
| ~ v2_pre_topc(U_78)
| v3_struct_0(U_78)
| ~ l1_pre_topc(U_78) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_6,plain,
( v3_tdlat_3(U_78)
| ~ v2_t_0topsp(U_78)
| ~ v3_tdlat_3(U_78)
| ~ v2_pre_topc(U_78)
| v3_struct_0(U_78)
| ~ l1_pre_topc(U_78) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_7,plain,
( v4_tdlat_3(U_78)
| ~ v2_t_0topsp(U_78)
| ~ v3_tdlat_3(U_78)
| ~ v2_pre_topc(U_78)
| v3_struct_0(U_78)
| ~ l1_pre_topc(U_78) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_8,plain,
( v5_tdlat_3(U_78)
| ~ v2_t_0topsp(U_78)
| ~ v3_tdlat_3(U_78)
| ~ v2_pre_topc(U_78)
| v3_struct_0(U_78)
| ~ l1_pre_topc(U_78) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_9,plain,
( v2_t_0topsp(U_78)
| ~ v2_t_0topsp(U_78)
| ~ v3_tdlat_3(U_78)
| ~ v2_pre_topc(U_78)
| v3_struct_0(U_78)
| ~ l1_pre_topc(U_78) ),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [A] :
( ! [B] :
( ( ~ v2_tex_2(B,A)
& v2_pre_topc(B) )
| ~ v2_tsp_2(B,A)
| ~ v1_borsuk_1(B,A)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc8_tsp_2]) ).
fof(f_46_2,plain,
! [U_80] :
( ! [U_79] :
( ( ~ v2_tex_2(U_79,U_80)
& v2_pre_topc(U_79) )
| ~ v2_tsp_2(U_79,U_80)
| ~ v1_borsuk_1(U_79,U_80)
| ~ m1_pre_topc(U_79,U_80) )
| ~ l1_pre_topc(U_80)
| ~ v2_pre_topc(U_80)
| v3_struct_0(U_80) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
cnf(f_46_3,plain,
( v2_pre_topc(U_79)
| ~ v2_tsp_2(U_79,U_80)
| ~ v1_borsuk_1(U_79,U_80)
| ~ m1_pre_topc(U_79,U_80)
| ~ l1_pre_topc(U_80)
| ~ v2_pre_topc(U_80)
| v3_struct_0(U_80) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_4,plain,
( ~ v2_tex_2(U_79,U_80)
| ~ v2_tsp_2(U_79,U_80)
| ~ v1_borsuk_1(U_79,U_80)
| ~ m1_pre_topc(U_79,U_80)
| ~ l1_pre_topc(U_80)
| ~ v2_pre_topc(U_80)
| v3_struct_0(U_80) ),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
! [A] :
( ( ~ v2_t_0topsp(A)
& ~ v1_tdlat_3(A)
& v2_pre_topc(A)
& ~ v3_realset2(A)
& ~ v3_struct_0(A) )
| ~ v3_tdlat_3(A)
| v1_tdlat_3(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[cc9_tsp_1]) ).
fof(f_47_2,plain,
! [U_81] :
( ( ~ v2_t_0topsp(U_81)
& ~ v1_tdlat_3(U_81)
& v2_pre_topc(U_81)
& ~ v3_realset2(U_81)
& ~ v3_struct_0(U_81) )
| ~ v3_tdlat_3(U_81)
| v1_tdlat_3(U_81)
| ~ v2_pre_topc(U_81)
| v3_struct_0(U_81)
| ~ l1_pre_topc(U_81) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
cnf(f_47_3,plain,
( ~ v3_struct_0(U_81)
| ~ v3_tdlat_3(U_81)
| v1_tdlat_3(U_81)
| ~ v2_pre_topc(U_81)
| v3_struct_0(U_81)
| ~ l1_pre_topc(U_81) ),
inference(clausify,[status(thm)],[f_47_2]) ).
cnf(f_47_4,plain,
( ~ v3_realset2(U_81)
| ~ v3_tdlat_3(U_81)
| v1_tdlat_3(U_81)
| ~ v2_pre_topc(U_81)
| v3_struct_0(U_81)
| ~ l1_pre_topc(U_81) ),
inference(clausify,[status(thm)],[f_47_2]) ).
cnf(f_47_5,plain,
( v2_pre_topc(U_81)
| ~ v3_tdlat_3(U_81)
| v1_tdlat_3(U_81)
| ~ v2_pre_topc(U_81)
| v3_struct_0(U_81)
| ~ l1_pre_topc(U_81) ),
inference(clausify,[status(thm)],[f_47_2]) ).
cnf(f_47_6,plain,
( ~ v1_tdlat_3(U_81)
| ~ v3_tdlat_3(U_81)
| v1_tdlat_3(U_81)
| ~ v2_pre_topc(U_81)
| v3_struct_0(U_81)
| ~ l1_pre_topc(U_81) ),
inference(clausify,[status(thm)],[f_47_2]) ).
cnf(f_47_7,plain,
( ~ v2_t_0topsp(U_81)
| ~ v3_tdlat_3(U_81)
| v1_tdlat_3(U_81)
| ~ v2_pre_topc(U_81)
| v3_struct_0(U_81)
| ~ l1_pre_topc(U_81) ),
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,plain,
! [A] :
( ! [B] :
( ( ~ v2_tsp_2(B,A)
& v2_pre_topc(B) )
| ~ v1_borsuk_1(B,A)
| ~ v2_tex_2(B,A)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc9_tsp_2]) ).
fof(f_48_2,plain,
! [U_83] :
( ! [U_82] :
( ( ~ v2_tsp_2(U_82,U_83)
& v2_pre_topc(U_82) )
| ~ v1_borsuk_1(U_82,U_83)
| ~ v2_tex_2(U_82,U_83)
| ~ m1_pre_topc(U_82,U_83) )
| ~ l1_pre_topc(U_83)
| ~ v2_pre_topc(U_83)
| v3_struct_0(U_83) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
cnf(f_48_3,plain,
( v2_pre_topc(U_82)
| ~ v1_borsuk_1(U_82,U_83)
| ~ v2_tex_2(U_82,U_83)
| ~ m1_pre_topc(U_82,U_83)
| ~ l1_pre_topc(U_83)
| ~ v2_pre_topc(U_83)
| v3_struct_0(U_83) ),
inference(clausify,[status(thm)],[f_48_2]) ).
cnf(f_48_4,plain,
( ~ v2_tsp_2(U_82,U_83)
| ~ v1_borsuk_1(U_82,U_83)
| ~ v2_tex_2(U_82,U_83)
| ~ m1_pre_topc(U_82,U_83)
| ~ l1_pre_topc(U_83)
| ~ v2_pre_topc(U_83)
| v3_struct_0(U_83) ),
inference(clausify,[status(thm)],[f_48_2]) ).
fof(f_49_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( C = k1_tsp_2(A,B)
| ~ v3_borsuk_1(C,A,B) )
& ( v3_borsuk_1(C,A,B)
| C != k1_tsp_2(A,B) ) )
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d9_tsp_2]) ).
fof(f_49_2,plain,
! [U_86] :
( ! [U_85] :
( ! [U_84] :
( ( ( U_84 = k1_tsp_2(U_86,U_85)
| ~ v3_borsuk_1(U_84,U_86,U_85) )
& ( v3_borsuk_1(U_84,U_86,U_85)
| U_84 != k1_tsp_2(U_86,U_85) ) )
| ~ m2_relset_1(U_84,u1_struct_0(U_86),u1_struct_0(U_85))
| ~ v5_pre_topc(U_84,U_86,U_85)
| ~ v1_funct_2(U_84,u1_struct_0(U_86),u1_struct_0(U_85))
| ~ v1_funct_1(U_84) )
| ~ m2_tsp_1(U_85,U_86)
| ~ v2_tsp_2(U_85,U_86)
| v3_struct_0(U_85) )
| ~ l1_pre_topc(U_86)
| ~ v2_pre_topc(U_86)
| v3_struct_0(U_86) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
cnf(f_49_3,plain,
( v3_borsuk_1(U_84,U_86,U_85)
| U_84 != k1_tsp_2(U_86,U_85)
| ~ m2_relset_1(U_84,u1_struct_0(U_86),u1_struct_0(U_85))
| ~ v5_pre_topc(U_84,U_86,U_85)
| ~ v1_funct_2(U_84,u1_struct_0(U_86),u1_struct_0(U_85))
| ~ v1_funct_1(U_84)
| ~ m2_tsp_1(U_85,U_86)
| ~ v2_tsp_2(U_85,U_86)
| v3_struct_0(U_85)
| ~ l1_pre_topc(U_86)
| ~ v2_pre_topc(U_86)
| v3_struct_0(U_86) ),
inference(clausify,[status(thm)],[f_49_2]) ).
cnf(f_49_4,plain,
( U_84 = k1_tsp_2(U_86,U_85)
| ~ v3_borsuk_1(U_84,U_86,U_85)
| ~ m2_relset_1(U_84,u1_struct_0(U_86),u1_struct_0(U_85))
| ~ v5_pre_topc(U_84,U_86,U_85)
| ~ v1_funct_2(U_84,u1_struct_0(U_86),u1_struct_0(U_85))
| ~ v1_funct_1(U_84)
| ~ m2_tsp_1(U_85,U_86)
| ~ v2_tsp_2(U_85,U_86)
| v3_struct_0(U_85)
| ~ l1_pre_topc(U_86)
| ~ v2_pre_topc(U_86)
| v3_struct_0(U_86) ),
inference(clausify,[status(thm)],[f_49_2]) ).
fof(f_50_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k10_relat_1]) ).
cnf(f_50_2,plain,
$true,
inference(clausify,[status(thm)],[f_50_1]) ).
fof(f_51_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_51_2,plain,
! [U_88,U_87] :
( m1_subset_1(k1_struct_0(U_88,U_87),k1_zfmisc_1(u1_struct_0(U_88)))
| ~ m1_subset_1(U_87,u1_struct_0(U_88))
| ~ l1_struct_0(U_88)
| v3_struct_0(U_88) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
cnf(f_51_3,plain,
( m1_subset_1(k1_struct_0(U_88,U_87),k1_zfmisc_1(u1_struct_0(U_88)))
| ~ m1_subset_1(U_87,u1_struct_0(U_88))
| ~ l1_struct_0(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_tarski]) ).
cnf(f_52_2,plain,
$true,
inference(clausify,[status(thm)],[f_52_1]) ).
fof(f_53_1,plain,
! [A,B] :
( ( m2_relset_1(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B))
& v5_pre_topc(k1_tsp_2(A,B),A,B)
& v1_funct_2(k1_tsp_2(A,B),u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(k1_tsp_2(A,B)) )
| ~ m1_pre_topc(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B)
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_tsp_2]) ).
fof(f_53_2,plain,
! [U_90,U_89] :
( ( m2_relset_1(k1_tsp_2(U_90,U_89),u1_struct_0(U_90),u1_struct_0(U_89))
& v5_pre_topc(k1_tsp_2(U_90,U_89),U_90,U_89)
& v1_funct_2(k1_tsp_2(U_90,U_89),u1_struct_0(U_90),u1_struct_0(U_89))
& v1_funct_1(k1_tsp_2(U_90,U_89)) )
| ~ m1_pre_topc(U_89,U_90)
| ~ v2_tsp_2(U_89,U_90)
| v3_struct_0(U_89)
| ~ l1_pre_topc(U_90)
| ~ v2_pre_topc(U_90)
| v3_struct_0(U_90) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
( v1_funct_1(k1_tsp_2(U_90,U_89))
| ~ m1_pre_topc(U_89,U_90)
| ~ v2_tsp_2(U_89,U_90)
| v3_struct_0(U_89)
| ~ l1_pre_topc(U_90)
| ~ v2_pre_topc(U_90)
| v3_struct_0(U_90) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_4,plain,
( v1_funct_2(k1_tsp_2(U_90,U_89),u1_struct_0(U_90),u1_struct_0(U_89))
| ~ m1_pre_topc(U_89,U_90)
| ~ v2_tsp_2(U_89,U_90)
| v3_struct_0(U_89)
| ~ l1_pre_topc(U_90)
| ~ v2_pre_topc(U_90)
| v3_struct_0(U_90) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_5,plain,
( v5_pre_topc(k1_tsp_2(U_90,U_89),U_90,U_89)
| ~ m1_pre_topc(U_89,U_90)
| ~ v2_tsp_2(U_89,U_90)
| v3_struct_0(U_89)
| ~ l1_pre_topc(U_90)
| ~ v2_pre_topc(U_90)
| v3_struct_0(U_90) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_6,plain,
( m2_relset_1(k1_tsp_2(U_90,U_89),u1_struct_0(U_90),u1_struct_0(U_89))
| ~ m1_pre_topc(U_89,U_90)
| ~ v2_tsp_2(U_89,U_90)
| v3_struct_0(U_89)
| ~ l1_pre_topc(U_90)
| ~ v2_pre_topc(U_90)
| v3_struct_0(U_90) ),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
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_k1_zfmisc_1]) ).
cnf(f_55_2,plain,
$true,
inference(clausify,[status(thm)],[f_55_1]) ).
fof(f_56_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_zfmisc_1]) ).
cnf(f_56_2,plain,
$true,
inference(clausify,[status(thm)],[f_56_1]) ).
fof(f_57_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_57_2,plain,
! [U_94,U_93,U_92,U_91] :
( m1_subset_1(k5_pre_topc(U_94,U_93,U_92,U_91),k1_zfmisc_1(u1_struct_0(U_94)))
| ~ m1_relset_1(U_92,u1_struct_0(U_94),u1_struct_0(U_93))
| ~ v1_funct_2(U_92,u1_struct_0(U_94),u1_struct_0(U_93))
| ~ v1_funct_1(U_92)
| ~ l1_struct_0(U_93)
| ~ l1_struct_0(U_94) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
! [U_94,U_93,U_92] :
( ! [U_91] : m1_subset_1(k5_pre_topc(U_94,U_93,U_92,U_91),k1_zfmisc_1(u1_struct_0(U_94)))
| ~ m1_relset_1(U_92,u1_struct_0(U_94),u1_struct_0(U_93))
| ~ v1_funct_2(U_92,u1_struct_0(U_94),u1_struct_0(U_93))
| ~ v1_funct_1(U_92)
| ~ l1_struct_0(U_93)
| ~ l1_struct_0(U_94) ),
inference(miniscope,[status(thm)],[f_57_2]) ).
cnf(f_57_4,plain,
( m1_subset_1(k5_pre_topc(U_94,U_93,U_92,U_91),k1_zfmisc_1(u1_struct_0(U_94)))
| ~ m1_relset_1(U_92,u1_struct_0(U_94),u1_struct_0(U_93))
| ~ v1_funct_2(U_92,u1_struct_0(U_94),u1_struct_0(U_93))
| ~ v1_funct_1(U_92)
| ~ l1_struct_0(U_93)
| ~ l1_struct_0(U_94) ),
inference(clausify,[status(thm)],[f_57_3]) ).
fof(f_58_1,plain,
! [A,B] :
( m1_subset_1(k6_pre_topc(A,B),k1_zfmisc_1(u1_struct_0(A)))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_pre_topc]) ).
fof(f_58_2,plain,
! [U_96,U_95] :
( m1_subset_1(k6_pre_topc(U_96,U_95),k1_zfmisc_1(u1_struct_0(U_96)))
| ~ m1_subset_1(U_95,k1_zfmisc_1(u1_struct_0(U_96)))
| ~ l1_pre_topc(U_96) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
cnf(f_58_3,plain,
( m1_subset_1(k6_pre_topc(U_96,U_95),k1_zfmisc_1(u1_struct_0(U_96)))
| ~ m1_subset_1(U_95,k1_zfmisc_1(u1_struct_0(U_96)))
| ~ l1_pre_topc(U_96) ),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_pre_topc]) ).
fof(f_59_2,plain,
! [U_97] :
( l1_struct_0(U_97)
| ~ l1_pre_topc(U_97) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
cnf(f_59_3,plain,
( l1_struct_0(U_97)
| ~ l1_pre_topc(U_97) ),
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
cnf(f_60_2,plain,
$true,
inference(clausify,[status(thm)],[f_60_1]) ).
fof(f_61_1,plain,
! [A] :
( ! [B] :
( l1_pre_topc(B)
| ~ m1_pre_topc(B,A) )
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_pre_topc]) ).
fof(f_61_2,plain,
! [U_99] :
( ! [U_98] :
( l1_pre_topc(U_98)
| ~ m1_pre_topc(U_98,U_99) )
| ~ l1_pre_topc(U_99) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
cnf(f_61_3,plain,
( l1_pre_topc(U_98)
| ~ m1_pre_topc(U_98,U_99)
| ~ l1_pre_topc(U_99) ),
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_relset_1]) ).
cnf(f_62_2,plain,
$true,
inference(clausify,[status(thm)],[f_62_1]) ).
fof(f_63_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
cnf(f_63_2,plain,
$true,
inference(clausify,[status(thm)],[f_63_1]) ).
fof(f_64_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_64_2,plain,
! [U_102,U_101,U_100] :
( m1_subset_1(U_100,k1_zfmisc_1(k2_zfmisc_1(U_102,U_101)))
| ~ m2_relset_1(U_100,U_102,U_101) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
cnf(f_64_3,plain,
( m1_subset_1(U_100,k1_zfmisc_1(k2_zfmisc_1(U_102,U_101)))
| ~ m2_relset_1(U_100,U_102,U_101) ),
inference(clausify,[status(thm)],[f_64_2]) ).
fof(f_65_1,plain,
! [A] :
( ! [B] :
( l1_pre_topc(B)
| ~ m2_tsp_1(B,A) )
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[dt_m2_tsp_1]) ).
fof(f_65_2,plain,
! [U_104] :
( ! [U_103] :
( l1_pre_topc(U_103)
| ~ m2_tsp_1(U_103,U_104) )
| ~ l1_pre_topc(U_104) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
cnf(f_65_3,plain,
( l1_pre_topc(U_103)
| ~ m2_tsp_1(U_103,U_104)
| ~ l1_pre_topc(U_104) ),
inference(clausify,[status(thm)],[f_65_2]) ).
fof(f_66_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
cnf(f_66_2,plain,
$true,
inference(clausify,[status(thm)],[f_66_1]) ).
fof(f_67_1,plain,
? [A] : l1_pre_topc(A),
inference(fof_nnf,[status(thm)],[existence_l1_pre_topc]) ).
fof(f_67_2,plain,
? [U_105] : l1_pre_topc(U_105),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
l1_pre_topc(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_105,sK5)],[f_67_2]) ).
cnf(f_67_4,plain,
l1_pre_topc(sK5),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_68_2,plain,
? [U_106] : l1_struct_0(U_106),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
l1_struct_0(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_106,sK6)],[f_68_2]) ).
cnf(f_68_4,plain,
l1_struct_0(sK6),
inference(clausify,[status(thm)],[f_68_3]) ).
fof(f_69_1,plain,
! [A] :
( ? [B] : m1_pre_topc(B,A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_pre_topc]) ).
fof(f_69_2,plain,
! [U_108] :
( ? [U_107] : m1_pre_topc(U_107,U_108)
| ~ l1_pre_topc(U_108) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
! [U_108] :
( m1_pre_topc(sK7(U_108),U_108)
| ~ l1_pre_topc(U_108) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_107,sK7(U_108))],[f_69_2]) ).
cnf(f_69_4,plain,
( m1_pre_topc(sK7(U_108),U_108)
| ~ l1_pre_topc(U_108) ),
inference(clausify,[status(thm)],[f_69_3]) ).
fof(f_70_1,plain,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_relset_1]) ).
fof(f_70_2,plain,
! [U_111,U_110] :
? [U_109] : m1_relset_1(U_109,U_111,U_110),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
! [U_111,U_110] : m1_relset_1(sK8(U_111,U_110),U_111,U_110),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_109,sK8(U_111,U_110))],[f_70_2]) ).
cnf(f_70_4,plain,
m1_relset_1(sK8(U_111,U_110),U_111,U_110),
inference(clausify,[status(thm)],[f_70_3]) ).
fof(f_71_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_71_2,plain,
! [U_113] :
? [U_112] : m1_subset_1(U_112,U_113),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
! [U_113] : m1_subset_1(sK9(U_113),U_113),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_112,sK9(U_113))],[f_71_2]) ).
cnf(f_71_4,plain,
m1_subset_1(sK9(U_113),U_113),
inference(clausify,[status(thm)],[f_71_3]) ).
fof(f_72_1,plain,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m2_relset_1]) ).
fof(f_72_2,plain,
! [U_116,U_115] :
? [U_114] : m2_relset_1(U_114,U_116,U_115),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
! [U_116,U_115] : m2_relset_1(sK10(U_116,U_115),U_116,U_115),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_114,sK10(U_116,U_115))],[f_72_2]) ).
cnf(f_72_4,plain,
m2_relset_1(sK10(U_116,U_115),U_116,U_115),
inference(clausify,[status(thm)],[f_72_3]) ).
fof(f_73_1,plain,
! [A] :
( ? [B] : m2_tsp_1(B,A)
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[existence_m2_tsp_1]) ).
fof(f_73_2,plain,
! [U_118] :
( ? [U_117] : m2_tsp_1(U_117,U_118)
| ~ l1_pre_topc(U_118) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
! [U_118] :
( m2_tsp_1(sK11(U_118),U_118)
| ~ l1_pre_topc(U_118) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_117,sK11(U_118))],[f_73_2]) ).
cnf(f_73_4,plain,
( m2_tsp_1(sK11(U_118),U_118)
| ~ l1_pre_topc(U_118) ),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_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_74_2,plain,
! [U_119] :
( ( v4_membered(k1_tarski(U_119))
& v3_membered(k1_tarski(U_119))
& v2_membered(k1_tarski(U_119))
& v1_membered(k1_tarski(U_119)) )
| ~ v1_int_1(U_119) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
cnf(f_74_3,plain,
( v1_membered(k1_tarski(U_119))
| ~ v1_int_1(U_119) ),
inference(clausify,[status(thm)],[f_74_2]) ).
cnf(f_74_4,plain,
( v2_membered(k1_tarski(U_119))
| ~ v1_int_1(U_119) ),
inference(clausify,[status(thm)],[f_74_2]) ).
cnf(f_74_5,plain,
( v3_membered(k1_tarski(U_119))
| ~ v1_int_1(U_119) ),
inference(clausify,[status(thm)],[f_74_2]) ).
cnf(f_74_6,plain,
( v4_membered(k1_tarski(U_119))
| ~ v1_int_1(U_119) ),
inference(clausify,[status(thm)],[f_74_2]) ).
fof(f_75_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_75_2,plain,
! [U_120] :
( ( v5_membered(k1_tarski(U_120))
& v4_membered(k1_tarski(U_120))
& v3_membered(k1_tarski(U_120))
& v2_membered(k1_tarski(U_120))
& v1_membered(k1_tarski(U_120)) )
| ~ v4_ordinal2(U_120) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
cnf(f_75_3,plain,
( v1_membered(k1_tarski(U_120))
| ~ v4_ordinal2(U_120) ),
inference(clausify,[status(thm)],[f_75_2]) ).
cnf(f_75_4,plain,
( v2_membered(k1_tarski(U_120))
| ~ v4_ordinal2(U_120) ),
inference(clausify,[status(thm)],[f_75_2]) ).
cnf(f_75_5,plain,
( v3_membered(k1_tarski(U_120))
| ~ v4_ordinal2(U_120) ),
inference(clausify,[status(thm)],[f_75_2]) ).
cnf(f_75_6,plain,
( v4_membered(k1_tarski(U_120))
| ~ v4_ordinal2(U_120) ),
inference(clausify,[status(thm)],[f_75_2]) ).
cnf(f_75_7,plain,
( v5_membered(k1_tarski(U_120))
| ~ v4_ordinal2(U_120) ),
inference(clausify,[status(thm)],[f_75_2]) ).
fof(f_76_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_76_2,plain,
! [U_121] :
( ~ v1_xboole_0(u1_struct_0(U_121))
| ~ l1_struct_0(U_121)
| v3_struct_0(U_121) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
cnf(f_76_3,plain,
( ~ v1_xboole_0(u1_struct_0(U_121))
| ~ l1_struct_0(U_121)
| v3_struct_0(U_121) ),
inference(clausify,[status(thm)],[f_76_2]) ).
fof(f_77_1,plain,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
inference(fof_nnf,[status(thm)],[fc1_subset_1]) ).
fof(f_77_2,plain,
! [U_122] : ~ v1_xboole_0(k1_zfmisc_1(U_122)),
inference(variable_rename,[status(thm)],[f_77_1]) ).
cnf(f_77_3,plain,
~ v1_xboole_0(k1_zfmisc_1(U_122)),
inference(clausify,[status(thm)],[f_77_2]) ).
fof(f_78_1,plain,
! [A] : ~ v1_xboole_0(k1_tarski(A)),
inference(fof_nnf,[status(thm)],[fc2_subset_1]) ).
fof(f_78_2,plain,
! [U_123] : ~ v1_xboole_0(k1_tarski(U_123)),
inference(variable_rename,[status(thm)],[f_78_1]) ).
cnf(f_78_3,plain,
~ v1_xboole_0(k1_tarski(U_123)),
inference(clausify,[status(thm)],[f_78_2]) ).
fof(f_79_1,plain,
! [A,B] :
( v4_pre_topc(k6_pre_topc(A,B),A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[fc2_tops_1]) ).
fof(f_79_2,plain,
! [U_125,U_124] :
( v4_pre_topc(k6_pre_topc(U_125,U_124),U_125)
| ~ m1_subset_1(U_124,k1_zfmisc_1(u1_struct_0(U_125)))
| ~ l1_pre_topc(U_125)
| ~ v2_pre_topc(U_125) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
cnf(f_79_3,plain,
( v4_pre_topc(k6_pre_topc(U_125,U_124),U_125)
| ~ m1_subset_1(U_124,k1_zfmisc_1(u1_struct_0(U_125)))
| ~ l1_pre_topc(U_125)
| ~ v2_pre_topc(U_125) ),
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_1,plain,
! [A,B] :
( ~ v1_xboole_0(k2_zfmisc_1(A,B))
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_subset_1]) ).
fof(f_80_2,plain,
! [U_127,U_126] :
( ~ v1_xboole_0(k2_zfmisc_1(U_127,U_126))
| v1_xboole_0(U_126)
| v1_xboole_0(U_127) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
cnf(f_80_3,plain,
( ~ v1_xboole_0(k2_zfmisc_1(U_127,U_126))
| v1_xboole_0(U_126)
| v1_xboole_0(U_127) ),
inference(clausify,[status(thm)],[f_80_2]) ).
fof(f_81_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_81_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_81_1]) ).
cnf(f_81_3,plain,
v1_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_81_1]) ).
cnf(f_81_4,plain,
v2_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_81_1]) ).
cnf(f_81_5,plain,
v3_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_81_1]) ).
cnf(f_81_6,plain,
v4_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_81_1]) ).
cnf(f_81_7,plain,
v5_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_81_1]) ).
fof(f_82_1,plain,
! [A] :
( v1_membered(k1_tarski(A))
| ~ v1_xcmplx_0(A) ),
inference(fof_nnf,[status(thm)],[fc7_membered]) ).
fof(f_82_2,plain,
! [U_128] :
( v1_membered(k1_tarski(U_128))
| ~ v1_xcmplx_0(U_128) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
cnf(f_82_3,plain,
( v1_membered(k1_tarski(U_128))
| ~ v1_xcmplx_0(U_128) ),
inference(clausify,[status(thm)],[f_82_2]) ).
fof(f_83_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_83_2,plain,
! [U_129] :
( ( v2_membered(k1_tarski(U_129))
& v1_membered(k1_tarski(U_129)) )
| ~ v1_xreal_0(U_129) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
cnf(f_83_3,plain,
( v1_membered(k1_tarski(U_129))
| ~ v1_xreal_0(U_129) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_4,plain,
( v2_membered(k1_tarski(U_129))
| ~ v1_xreal_0(U_129) ),
inference(clausify,[status(thm)],[f_83_2]) ).
fof(f_84_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_84_2,plain,
! [U_130] :
( ( v3_membered(k1_tarski(U_130))
& v2_membered(k1_tarski(U_130))
& v1_membered(k1_tarski(U_130)) )
| ~ v1_rat_1(U_130) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
cnf(f_84_3,plain,
( v1_membered(k1_tarski(U_130))
| ~ v1_rat_1(U_130) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_4,plain,
( v2_membered(k1_tarski(U_130))
| ~ v1_rat_1(U_130) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_5,plain,
( v3_membered(k1_tarski(U_130))
| ~ v1_rat_1(U_130) ),
inference(clausify,[status(thm)],[f_84_2]) ).
fof(f_85_1,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( k5_pre_topc(A,B,C,k6_pre_topc(B,k1_struct_0(B,E))) = k6_pre_topc(A,k1_struct_0(A,D))
| D != E
| ~ m1_subset_1(E,u1_struct_0(B)) )
| ~ m1_subset_1(D,u1_struct_0(A)) )
| ~ v3_borsuk_1(C,A,B)
| ~ m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
| ~ v5_pre_topc(C,A,B)
| ~ v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
| ~ v1_funct_1(C) )
| ~ m2_tsp_1(B,A)
| ~ v2_tsp_2(B,A)
| v3_struct_0(B) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[l33_tsp_2]) ).
fof(f_85_2,plain,
! [U_135] :
( ! [U_134] :
( ! [U_133] :
( ! [U_132] :
( ! [U_131] :
( k5_pre_topc(U_135,U_134,U_133,k6_pre_topc(U_134,k1_struct_0(U_134,U_131))) = k6_pre_topc(U_135,k1_struct_0(U_135,U_132))
| U_132 != U_131
| ~ m1_subset_1(U_131,u1_struct_0(U_134)) )
| ~ m1_subset_1(U_132,u1_struct_0(U_135)) )
| ~ v3_borsuk_1(U_133,U_135,U_134)
| ~ m2_relset_1(U_133,u1_struct_0(U_135),u1_struct_0(U_134))
| ~ v5_pre_topc(U_133,U_135,U_134)
| ~ v1_funct_2(U_133,u1_struct_0(U_135),u1_struct_0(U_134))
| ~ v1_funct_1(U_133) )
| ~ m2_tsp_1(U_134,U_135)
| ~ v2_tsp_2(U_134,U_135)
| v3_struct_0(U_134) )
| ~ l1_pre_topc(U_135)
| ~ v2_pre_topc(U_135)
| v3_struct_0(U_135) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
cnf(f_85_3,plain,
( k5_pre_topc(U_135,U_134,U_133,k6_pre_topc(U_134,k1_struct_0(U_134,U_131))) = k6_pre_topc(U_135,k1_struct_0(U_135,U_132))
| U_132 != U_131
| ~ m1_subset_1(U_131,u1_struct_0(U_134))
| ~ m1_subset_1(U_132,u1_struct_0(U_135))
| ~ v3_borsuk_1(U_133,U_135,U_134)
| ~ m2_relset_1(U_133,u1_struct_0(U_135),u1_struct_0(U_134))
| ~ v5_pre_topc(U_133,U_135,U_134)
| ~ v1_funct_2(U_133,u1_struct_0(U_135),u1_struct_0(U_134))
| ~ v1_funct_1(U_133)
| ~ m2_tsp_1(U_134,U_135)
| ~ v2_tsp_2(U_134,U_135)
| v3_struct_0(U_134)
| ~ l1_pre_topc(U_135)
| ~ v2_pre_topc(U_135)
| v3_struct_0(U_135) ),
inference(clausify,[status(thm)],[f_85_2]) ).
fof(f_86_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_86_2,plain,
? [U_136] :
( v5_membered(U_136)
& v4_membered(U_136)
& v3_membered(U_136)
& v2_membered(U_136)
& v1_membered(U_136)
& ~ v1_xboole_0(U_136) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
( v5_membered(sK12)
& v4_membered(sK12)
& v3_membered(sK12)
& v2_membered(sK12)
& v1_membered(sK12)
& ~ v1_xboole_0(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_136,sK12)],[f_86_2]) ).
cnf(f_86_4,plain,
~ v1_xboole_0(sK12),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_5,plain,
v1_membered(sK12),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_6,plain,
v2_membered(sK12),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_7,plain,
v3_membered(sK12),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_8,plain,
v4_membered(sK12),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_9,plain,
v5_membered(sK12),
inference(clausify,[status(thm)],[f_86_3]) ).
fof(f_87_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_subset_1]) ).
fof(f_87_2,plain,
! [U_138] :
( ? [U_137] :
( ~ v1_xboole_0(U_137)
& m1_subset_1(U_137,k1_zfmisc_1(U_138)) )
| v1_xboole_0(U_138) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
! [U_138] :
( ( ~ v1_xboole_0(sK13(U_138))
& m1_subset_1(sK13(U_138),k1_zfmisc_1(U_138)) )
| v1_xboole_0(U_138) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_137,sK13(U_138))],[f_87_2]) ).
cnf(f_87_4,plain,
( m1_subset_1(sK13(U_138),k1_zfmisc_1(U_138))
| v1_xboole_0(U_138) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_5,plain,
( ~ v1_xboole_0(sK13(U_138))
| v1_xboole_0(U_138) ),
inference(clausify,[status(thm)],[f_87_3]) ).
fof(f_88_1,plain,
! [A] :
( ? [B] :
( v3_pre_topc(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[rc1_tops_1]) ).
fof(f_88_2,plain,
! [U_140] :
( ? [U_139] :
( v3_pre_topc(U_139,U_140)
& m1_subset_1(U_139,k1_zfmisc_1(u1_struct_0(U_140))) )
| ~ l1_pre_topc(U_140)
| ~ v2_pre_topc(U_140) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
! [U_140] :
( ( v3_pre_topc(sK14(U_140),U_140)
& m1_subset_1(sK14(U_140),k1_zfmisc_1(u1_struct_0(U_140))) )
| ~ l1_pre_topc(U_140)
| ~ v2_pre_topc(U_140) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_139,sK14(U_140))],[f_88_2]) ).
cnf(f_88_4,plain,
( m1_subset_1(sK14(U_140),k1_zfmisc_1(u1_struct_0(U_140)))
| ~ l1_pre_topc(U_140)
| ~ v2_pre_topc(U_140) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_5,plain,
( v3_pre_topc(sK14(U_140),U_140)
| ~ l1_pre_topc(U_140)
| ~ v2_pre_topc(U_140) ),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_1,plain,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[rc2_subset_1]) ).
fof(f_89_2,plain,
! [U_142] :
? [U_141] :
( v1_xboole_0(U_141)
& m1_subset_1(U_141,k1_zfmisc_1(U_142)) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
! [U_142] :
( v1_xboole_0(sK15(U_142))
& m1_subset_1(sK15(U_142),k1_zfmisc_1(U_142)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_141,sK15(U_142))],[f_89_2]) ).
cnf(f_89_4,plain,
m1_subset_1(sK15(U_142),k1_zfmisc_1(U_142)),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_5,plain,
v1_xboole_0(sK15(U_142)),
inference(clausify,[status(thm)],[f_89_3]) ).
fof(f_90_1,plain,
! [A] :
( ? [B] :
( v4_pre_topc(B,A)
& v3_pre_topc(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[rc2_tops_1]) ).
fof(f_90_2,plain,
! [U_144] :
( ? [U_143] :
( v4_pre_topc(U_143,U_144)
& v3_pre_topc(U_143,U_144)
& m1_subset_1(U_143,k1_zfmisc_1(u1_struct_0(U_144))) )
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
! [U_144] :
( ( v4_pre_topc(sK16(U_144),U_144)
& v3_pre_topc(sK16(U_144),U_144)
& m1_subset_1(sK16(U_144),k1_zfmisc_1(u1_struct_0(U_144))) )
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_143,sK16(U_144))],[f_90_2]) ).
cnf(f_90_4,plain,
( m1_subset_1(sK16(U_144),k1_zfmisc_1(u1_struct_0(U_144)))
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_5,plain,
( v3_pre_topc(sK16(U_144),U_144)
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_6,plain,
( v4_pre_topc(sK16(U_144),U_144)
| ~ l1_pre_topc(U_144)
| ~ v2_pre_topc(U_144) ),
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_91_2,plain,
? [U_145] :
( ~ v3_struct_0(U_145)
& l1_struct_0(U_145) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
( ~ v3_struct_0(sK17)
& l1_struct_0(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_145,sK17)],[f_91_2]) ).
cnf(f_91_4,plain,
l1_struct_0(sK17),
inference(clausify,[status(thm)],[f_91_3]) ).
cnf(f_91_5,plain,
~ v3_struct_0(sK17),
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
! [A] :
( ? [B] :
( v4_pre_topc(B,A)
& v3_pre_topc(B,A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_tops_1]) ).
fof(f_92_2,plain,
! [U_147] :
( ? [U_146] :
( v4_pre_topc(U_146,U_147)
& v3_pre_topc(U_146,U_147)
& ~ v1_xboole_0(U_146)
& m1_subset_1(U_146,k1_zfmisc_1(u1_struct_0(U_147))) )
| ~ l1_pre_topc(U_147)
| ~ v2_pre_topc(U_147)
| v3_struct_0(U_147) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
! [U_147] :
( ( v4_pre_topc(sK18(U_147),U_147)
& v3_pre_topc(sK18(U_147),U_147)
& ~ v1_xboole_0(sK18(U_147))
& m1_subset_1(sK18(U_147),k1_zfmisc_1(u1_struct_0(U_147))) )
| ~ l1_pre_topc(U_147)
| ~ v2_pre_topc(U_147)
| v3_struct_0(U_147) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_146,sK18(U_147))],[f_92_2]) ).
cnf(f_92_4,plain,
( m1_subset_1(sK18(U_147),k1_zfmisc_1(u1_struct_0(U_147)))
| ~ l1_pre_topc(U_147)
| ~ v2_pre_topc(U_147)
| v3_struct_0(U_147) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_5,plain,
( ~ v1_xboole_0(sK18(U_147))
| ~ l1_pre_topc(U_147)
| ~ v2_pre_topc(U_147)
| v3_struct_0(U_147) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_6,plain,
( v3_pre_topc(sK18(U_147),U_147)
| ~ l1_pre_topc(U_147)
| ~ v2_pre_topc(U_147)
| v3_struct_0(U_147) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_7,plain,
( v4_pre_topc(sK18(U_147),U_147)
| ~ l1_pre_topc(U_147)
| ~ v2_pre_topc(U_147)
| v3_struct_0(U_147) ),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [A] :
( ? [B] :
( v2_tops_1(B,A)
& v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B)
& v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[rc4_tops_1]) ).
fof(f_93_2,plain,
! [U_149] :
( ? [U_148] :
( v2_tops_1(U_148,U_149)
& v5_membered(U_148)
& v4_membered(U_148)
& v3_membered(U_148)
& v2_membered(U_148)
& v1_membered(U_148)
& v1_xboole_0(U_148)
& m1_subset_1(U_148,k1_zfmisc_1(u1_struct_0(U_149))) )
| ~ l1_pre_topc(U_149) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
! [U_149] :
( ( v2_tops_1(sK19(U_149),U_149)
& v5_membered(sK19(U_149))
& v4_membered(sK19(U_149))
& v3_membered(sK19(U_149))
& v2_membered(sK19(U_149))
& v1_membered(sK19(U_149))
& v1_xboole_0(sK19(U_149))
& m1_subset_1(sK19(U_149),k1_zfmisc_1(u1_struct_0(U_149))) )
| ~ l1_pre_topc(U_149) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_148,sK19(U_149))],[f_93_2]) ).
cnf(f_93_4,plain,
( m1_subset_1(sK19(U_149),k1_zfmisc_1(u1_struct_0(U_149)))
| ~ l1_pre_topc(U_149) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_5,plain,
( v1_xboole_0(sK19(U_149))
| ~ l1_pre_topc(U_149) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_6,plain,
( v1_membered(sK19(U_149))
| ~ l1_pre_topc(U_149) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_7,plain,
( v2_membered(sK19(U_149))
| ~ l1_pre_topc(U_149) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_8,plain,
( v3_membered(sK19(U_149))
| ~ l1_pre_topc(U_149) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_9,plain,
( v4_membered(sK19(U_149))
| ~ l1_pre_topc(U_149) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_10,plain,
( v5_membered(sK19(U_149))
| ~ l1_pre_topc(U_149) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_11,plain,
( v2_tops_1(sK19(U_149),U_149)
| ~ l1_pre_topc(U_149) ),
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_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_94_2,plain,
! [U_151] :
( ? [U_150] :
( ~ v1_xboole_0(U_150)
& m1_subset_1(U_150,k1_zfmisc_1(u1_struct_0(U_151))) )
| ~ l1_struct_0(U_151)
| v3_struct_0(U_151) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
! [U_151] :
( ( ~ v1_xboole_0(sK20(U_151))
& m1_subset_1(sK20(U_151),k1_zfmisc_1(u1_struct_0(U_151))) )
| ~ l1_struct_0(U_151)
| v3_struct_0(U_151) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_150,sK20(U_151))],[f_94_2]) ).
cnf(f_94_4,plain,
( m1_subset_1(sK20(U_151),k1_zfmisc_1(u1_struct_0(U_151)))
| ~ l1_struct_0(U_151)
| v3_struct_0(U_151) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_5,plain,
( ~ v1_xboole_0(sK20(U_151))
| ~ l1_struct_0(U_151)
| v3_struct_0(U_151) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [A] :
( ? [B] :
( v3_tops_1(B,A)
& v2_tops_1(B,A)
& v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B)
& v4_pre_topc(B,A)
& v3_pre_topc(B,A)
& v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[rc5_tops_1]) ).
fof(f_95_2,plain,
! [U_153] :
( ? [U_152] :
( v3_tops_1(U_152,U_153)
& v2_tops_1(U_152,U_153)
& v5_membered(U_152)
& v4_membered(U_152)
& v3_membered(U_152)
& v2_membered(U_152)
& v1_membered(U_152)
& v4_pre_topc(U_152,U_153)
& v3_pre_topc(U_152,U_153)
& v1_xboole_0(U_152)
& m1_subset_1(U_152,k1_zfmisc_1(u1_struct_0(U_153))) )
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
! [U_153] :
( ( v3_tops_1(sK21(U_153),U_153)
& v2_tops_1(sK21(U_153),U_153)
& v5_membered(sK21(U_153))
& v4_membered(sK21(U_153))
& v3_membered(sK21(U_153))
& v2_membered(sK21(U_153))
& v1_membered(sK21(U_153))
& v4_pre_topc(sK21(U_153),U_153)
& v3_pre_topc(sK21(U_153),U_153)
& v1_xboole_0(sK21(U_153))
& m1_subset_1(sK21(U_153),k1_zfmisc_1(u1_struct_0(U_153))) )
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_152,sK21(U_153))],[f_95_2]) ).
cnf(f_95_4,plain,
( m1_subset_1(sK21(U_153),k1_zfmisc_1(u1_struct_0(U_153)))
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_5,plain,
( v1_xboole_0(sK21(U_153))
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_6,plain,
( v3_pre_topc(sK21(U_153),U_153)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_7,plain,
( v4_pre_topc(sK21(U_153),U_153)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_8,plain,
( v1_membered(sK21(U_153))
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_9,plain,
( v2_membered(sK21(U_153))
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_10,plain,
( v3_membered(sK21(U_153))
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_11,plain,
( v4_membered(sK21(U_153))
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_12,plain,
( v5_membered(sK21(U_153))
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_13,plain,
( v2_tops_1(sK21(U_153),U_153)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_14,plain,
( v3_tops_1(sK21(U_153),U_153)
| ~ l1_pre_topc(U_153)
| ~ v2_pre_topc(U_153) ),
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
! [A] :
( ? [B] :
( v4_pre_topc(B,A)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[rc6_pre_topc]) ).
fof(f_96_2,plain,
! [U_155] :
( ? [U_154] :
( v4_pre_topc(U_154,U_155)
& m1_subset_1(U_154,k1_zfmisc_1(u1_struct_0(U_155))) )
| ~ l1_pre_topc(U_155)
| ~ v2_pre_topc(U_155) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
! [U_155] :
( ( v4_pre_topc(sK22(U_155),U_155)
& m1_subset_1(sK22(U_155),k1_zfmisc_1(u1_struct_0(U_155))) )
| ~ l1_pre_topc(U_155)
| ~ v2_pre_topc(U_155) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_154,sK22(U_155))],[f_96_2]) ).
cnf(f_96_4,plain,
( m1_subset_1(sK22(U_155),k1_zfmisc_1(u1_struct_0(U_155)))
| ~ l1_pre_topc(U_155)
| ~ v2_pre_topc(U_155) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_5,plain,
( v4_pre_topc(sK22(U_155),U_155)
| ~ l1_pre_topc(U_155)
| ~ v2_pre_topc(U_155) ),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [A] :
( ? [B] :
( v4_pre_topc(B,A)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_pre_topc(A)
| ~ v2_pre_topc(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc7_pre_topc]) ).
fof(f_97_2,plain,
! [U_157] :
( ? [U_156] :
( v4_pre_topc(U_156,U_157)
& ~ v1_xboole_0(U_156)
& m1_subset_1(U_156,k1_zfmisc_1(u1_struct_0(U_157))) )
| ~ l1_pre_topc(U_157)
| ~ v2_pre_topc(U_157)
| v3_struct_0(U_157) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
! [U_157] :
( ( v4_pre_topc(sK23(U_157),U_157)
& ~ v1_xboole_0(sK23(U_157))
& m1_subset_1(sK23(U_157),k1_zfmisc_1(u1_struct_0(U_157))) )
| ~ l1_pre_topc(U_157)
| ~ v2_pre_topc(U_157)
| v3_struct_0(U_157) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_156,sK23(U_157))],[f_97_2]) ).
cnf(f_97_4,plain,
( m1_subset_1(sK23(U_157),k1_zfmisc_1(u1_struct_0(U_157)))
| ~ l1_pre_topc(U_157)
| ~ v2_pre_topc(U_157)
| v3_struct_0(U_157) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_5,plain,
( ~ v1_xboole_0(sK23(U_157))
| ~ l1_pre_topc(U_157)
| ~ v2_pre_topc(U_157)
| v3_struct_0(U_157) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_6,plain,
( v4_pre_topc(sK23(U_157),U_157)
| ~ l1_pre_topc(U_157)
| ~ v2_pre_topc(U_157)
| v3_struct_0(U_157) ),
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_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_98_2,plain,
! [U_159,U_158] :
( k1_struct_0(U_159,U_158) = k1_tarski(U_158)
| ~ m1_subset_1(U_158,u1_struct_0(U_159))
| ~ l1_struct_0(U_159)
| v3_struct_0(U_159) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
cnf(f_98_3,plain,
( k1_struct_0(U_159,U_158) = k1_tarski(U_158)
| ~ m1_subset_1(U_158,u1_struct_0(U_159))
| ~ l1_struct_0(U_159)
| v3_struct_0(U_159) ),
inference(clausify,[status(thm)],[f_98_2]) ).
fof(f_99_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_99_2,plain,
! [U_163,U_162,U_161,U_160] :
( k5_pre_topc(U_163,U_162,U_161,U_160) = k10_relat_1(U_161,U_160)
| ~ m1_relset_1(U_161,u1_struct_0(U_163),u1_struct_0(U_162))
| ~ v1_funct_2(U_161,u1_struct_0(U_163),u1_struct_0(U_162))
| ~ v1_funct_1(U_161)
| ~ l1_struct_0(U_162)
| ~ l1_struct_0(U_163) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
! [U_163,U_162,U_161] :
( ! [U_160] : k5_pre_topc(U_163,U_162,U_161,U_160) = k10_relat_1(U_161,U_160)
| ~ m1_relset_1(U_161,u1_struct_0(U_163),u1_struct_0(U_162))
| ~ v1_funct_2(U_161,u1_struct_0(U_163),u1_struct_0(U_162))
| ~ v1_funct_1(U_161)
| ~ l1_struct_0(U_162)
| ~ l1_struct_0(U_163) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
cnf(f_99_4,plain,
( k5_pre_topc(U_163,U_162,U_161,U_160) = k10_relat_1(U_161,U_160)
| ~ m1_relset_1(U_161,u1_struct_0(U_163),u1_struct_0(U_162))
| ~ v1_funct_2(U_161,u1_struct_0(U_163),u1_struct_0(U_162))
| ~ v1_funct_1(U_161)
| ~ l1_struct_0(U_162)
| ~ l1_struct_0(U_163) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_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_100_2,plain,
! [U_166,U_165,U_164] :
( ( m2_relset_1(U_164,U_166,U_165)
| ~ m1_relset_1(U_164,U_166,U_165) )
& ( m1_relset_1(U_164,U_166,U_165)
| ~ m2_relset_1(U_164,U_166,U_165) ) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
( ! [U_172,U_170,U_168] :
( m2_relset_1(U_168,U_172,U_170)
| ~ m1_relset_1(U_168,U_172,U_170) )
& ! [U_171,U_169,U_167] :
( m1_relset_1(U_167,U_171,U_169)
| ~ m2_relset_1(U_167,U_171,U_169) ) ),
inference(miniscope,[status(thm)],[f_100_2]) ).
cnf(f_100_4,plain,
( m1_relset_1(U_167,U_171,U_169)
| ~ m2_relset_1(U_167,U_171,U_169) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_5,plain,
( m2_relset_1(U_168,U_172,U_170)
| ~ m1_relset_1(U_168,U_172,U_170) ),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
! [A] :
( ! [B] :
( ( m2_tsp_1(B,A)
| ~ m1_pre_topc(B,A) )
& ( m1_pre_topc(B,A)
| ~ m2_tsp_1(B,A) ) )
| ~ l1_pre_topc(A) ),
inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1]) ).
fof(f_101_2,plain,
! [U_174] :
( ! [U_173] :
( ( m2_tsp_1(U_173,U_174)
| ~ m1_pre_topc(U_173,U_174) )
& ( m1_pre_topc(U_173,U_174)
| ~ m2_tsp_1(U_173,U_174) ) )
| ~ l1_pre_topc(U_174) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
! [U_174] :
( ( ! [U_176] :
( m2_tsp_1(U_176,U_174)
| ~ m1_pre_topc(U_176,U_174) )
& ! [U_175] :
( m1_pre_topc(U_175,U_174)
| ~ m2_tsp_1(U_175,U_174) ) )
| ~ l1_pre_topc(U_174) ),
inference(miniscope,[status(thm)],[f_101_2]) ).
cnf(f_101_4,plain,
( m1_pre_topc(U_175,U_174)
| ~ m2_tsp_1(U_175,U_174)
| ~ l1_pre_topc(U_174) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_5,plain,
( m2_tsp_1(U_176,U_174)
| ~ m1_pre_topc(U_176,U_174)
| ~ l1_pre_topc(U_174) ),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_102_2,plain,
! [U_178,U_177] : r1_tarski(U_178,U_178),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
! [U_178] : r1_tarski(U_178,U_178),
inference(miniscope,[status(thm)],[f_102_2]) ).
cnf(f_102_4,plain,
r1_tarski(U_178,U_178),
inference(clausify,[status(thm)],[f_102_3]) ).
fof(f_103_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_103_2,plain,
! [U_180,U_179] :
( m1_subset_1(U_180,U_179)
| ~ r2_hidden(U_180,U_179) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
cnf(f_103_3,plain,
( m1_subset_1(U_180,U_179)
| ~ r2_hidden(U_180,U_179) ),
inference(clausify,[status(thm)],[f_103_2]) ).
fof(f_104_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_104_2,plain,
! [U_182,U_181] :
( r2_hidden(U_182,U_181)
| v1_xboole_0(U_181)
| ~ m1_subset_1(U_182,U_181) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
cnf(f_104_3,plain,
( r2_hidden(U_182,U_181)
| v1_xboole_0(U_181)
| ~ m1_subset_1(U_182,U_181) ),
inference(clausify,[status(thm)],[f_104_2]) ).
fof(f_105_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_105_2,plain,
! [U_184,U_183] :
( ( m1_subset_1(U_184,k1_zfmisc_1(U_183))
| ~ r1_tarski(U_184,U_183) )
& ( r1_tarski(U_184,U_183)
| ~ m1_subset_1(U_184,k1_zfmisc_1(U_183)) ) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
( ! [U_188,U_186] :
( m1_subset_1(U_188,k1_zfmisc_1(U_186))
| ~ r1_tarski(U_188,U_186) )
& ! [U_187,U_185] :
( r1_tarski(U_187,U_185)
| ~ m1_subset_1(U_187,k1_zfmisc_1(U_185)) ) ),
inference(miniscope,[status(thm)],[f_105_2]) ).
cnf(f_105_4,plain,
( r1_tarski(U_187,U_185)
| ~ m1_subset_1(U_187,k1_zfmisc_1(U_185)) ),
inference(clausify,[status(thm)],[f_105_3]) ).
cnf(f_105_5,plain,
( m1_subset_1(U_188,k1_zfmisc_1(U_186))
| ~ r1_tarski(U_188,U_186) ),
inference(clausify,[status(thm)],[f_105_3]) ).
fof(f_106_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_106_2,plain,
! [U_191,U_190,U_189] :
( m1_subset_1(U_191,U_189)
| ~ m1_subset_1(U_190,k1_zfmisc_1(U_189))
| ~ r2_hidden(U_191,U_190) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
cnf(f_106_3,plain,
( m1_subset_1(U_191,U_189)
| ~ m1_subset_1(U_190,k1_zfmisc_1(U_189))
| ~ r2_hidden(U_191,U_190) ),
inference(clausify,[status(thm)],[f_106_2]) ).
fof(f_107_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_107_2,plain,
! [U_194,U_193,U_192] :
( ~ v1_xboole_0(U_192)
| ~ m1_subset_1(U_193,k1_zfmisc_1(U_192))
| ~ r2_hidden(U_194,U_193) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
! [U_194,U_193] :
( ! [U_192] :
( ~ v1_xboole_0(U_192)
| ~ m1_subset_1(U_193,k1_zfmisc_1(U_192)) )
| ~ r2_hidden(U_194,U_193) ),
inference(miniscope,[status(thm)],[f_107_2]) ).
cnf(f_107_4,plain,
( ~ v1_xboole_0(U_192)
| ~ m1_subset_1(U_193,k1_zfmisc_1(U_192))
| ~ r2_hidden(U_194,U_193) ),
inference(clausify,[status(thm)],[f_107_3]) ).
fof(f_108_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_108_2,plain,
! [U_195] :
( U_195 = k1_xboole_0
| ~ v1_xboole_0(U_195) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
cnf(f_108_3,plain,
( U_195 = k1_xboole_0
| ~ v1_xboole_0(U_195) ),
inference(clausify,[status(thm)],[f_108_2]) ).
fof(f_109_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_109_2,plain,
! [U_197,U_196] :
( ~ v1_xboole_0(U_196)
| ~ r2_hidden(U_197,U_196) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
cnf(f_109_3,plain,
( ~ v1_xboole_0(U_196)
| ~ r2_hidden(U_197,U_196) ),
inference(clausify,[status(thm)],[f_109_2]) ).
fof(f_110_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_110_2,plain,
! [U_199,U_198] :
( ~ v1_xboole_0(U_198)
| U_199 = U_198
| ~ v1_xboole_0(U_199) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
! [U_199] :
( ! [U_198] :
( ~ v1_xboole_0(U_198)
| U_199 = U_198 )
| ~ v1_xboole_0(U_199) ),
inference(miniscope,[status(thm)],[f_110_2]) ).
cnf(f_110_4,plain,
( ~ v1_xboole_0(U_198)
| U_199 = U_198
| ~ v1_xboole_0(U_199) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_4_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_4_3]) ).
cnf(f_4_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_4_5]) ).
cnf(f_4_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_4_6]) ).
cnf(f_7_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_7_3]) ).
cnf(f_9_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_9_3]) ).
cnf(f_11_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_11_3]) ).
cnf(f_22_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_22_3]) ).
cnf(f_23_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_23_3]) ).
cnf(f_27_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_27_3]) ).
cnf(f_28_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_3]) ).
cnf(f_31_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_31_3]) ).
cnf(f_31_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_31_4]) ).
cnf(f_35_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_35_3]) ).
cnf(f_35_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_35_5]) ).
cnf(f_37_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_37_3]) ).
cnf(f_38_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_38_3]) ).
cnf(f_38_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_38_4]) ).
cnf(f_38_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_38_5]) ).
cnf(f_40_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_40_4]) ).
cnf(f_40_12_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_40_12]) ).
cnf(f_41_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_41_3]) ).
cnf(f_41_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_41_5]) ).
cnf(f_41_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_41_7]) ).
cnf(f_41_11_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_41_11]) ).
cnf(f_43_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_43_3]) ).
cnf(f_43_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_43_4]) ).
cnf(f_43_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_43_5]) ).
cnf(f_45_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_45_3]) ).
cnf(f_45_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_45_4]) ).
cnf(f_45_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_45_6]) ).
cnf(f_45_9_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_45_9]) ).
cnf(f_47_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_47_3]) ).
cnf(f_47_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_47_5]) ).
cnf(f_47_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_47_6]) ).
cnf(f_50_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_50_2]) ).
cnf(f_52_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_52_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_56_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_56_2]) ).
cnf(f_60_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_60_2]) ).
cnf(f_62_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_62_2]) ).
cnf(f_63_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_63_2]) ).
cnf(f_66_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_66_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_tsp_2(Eq_x_0,Eq_x_1) = k1_tsp_2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,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_7,axiom,
( k6_pre_topc(Eq_x_0,Eq_x_1) = k6_pre_topc(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,
( k1_zfmisc_1(Eq_x_0) = k1_zfmisc_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( k2_zfmisc_1(Eq_x_0,Eq_x_1) = k2_zfmisc_1(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( k1_tarski(Eq_x_0) = k1_tarski(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,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_13,axiom,
( sK7(Eq_x_0) = sK7(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( sK8(Eq_x_0,Eq_x_1) = sK8(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_15,axiom,
( sK9(Eq_x_0) = sK9(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,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_17,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_18,axiom,
( sK13(Eq_x_0) = sK13(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( sK14(Eq_x_0) = sK14(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( sK15(Eq_x_0) = sK15(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( sK16(Eq_x_0) = sK16(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( sK18(Eq_x_0) = sK18(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_23,axiom,
( sK19(Eq_x_0) = sK19(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,axiom,
( sK20(Eq_x_0) = sK20(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_25,axiom,
( sK21(Eq_x_0) = sK21(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( sK22(Eq_x_0) = sK22(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( sK23(Eq_x_0) = sK23(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,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_29,axiom,
( v2_pre_topc(Eq_y_0)
| ~ v2_pre_topc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_30,axiom,
( l1_pre_topc(Eq_y_0)
| ~ l1_pre_topc(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_31,axiom,
( v2_tsp_2(Eq_y_0,Eq_y_1)
| ~ v2_tsp_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_32,axiom,
( m2_tsp_1(Eq_y_0,Eq_y_1)
| ~ m2_tsp_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_33,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_34,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_35,axiom,
( v1_membered(Eq_y_0)
| ~ v1_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_36,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_37,axiom,
( v1_tdlat_3(Eq_y_0)
| ~ v1_tdlat_3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,axiom,
( v2_t_0topsp(Eq_y_0)
| ~ v2_t_0topsp(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_39,axiom,
( v3_realset2(Eq_y_0)
| ~ v3_realset2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,axiom,
( v2_tdlat_3(Eq_y_0)
| ~ v2_tdlat_3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_41,axiom,
( v3_tdlat_3(Eq_y_0)
| ~ v3_tdlat_3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_42,axiom,
( m1_pre_topc(Eq_y_0,Eq_y_1)
| ~ m1_pre_topc(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( v2_tex_2(Eq_y_0,Eq_y_1)
| ~ v2_tex_2(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( v1_borsuk_1(Eq_y_0,Eq_y_1)
| ~ v1_borsuk_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( v2_membered(Eq_y_0)
| ~ v2_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,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_47,axiom,
( v3_membered(Eq_y_0)
| ~ v3_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_48,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_49,axiom,
( v4_membered(Eq_y_0)
| ~ v4_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_50,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_51,axiom,
( v5_membered(Eq_y_0)
| ~ v5_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_52,axiom,
( v4_ordinal2(Eq_y_0)
| ~ v4_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,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_54,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_55,axiom,
( v3_pre_topc(Eq_y_0,Eq_y_1)
| ~ v3_pre_topc(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_56,axiom,
( v4_pre_topc(Eq_y_0,Eq_y_1)
| ~ v4_pre_topc(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_57,axiom,
( v2_tops_1(Eq_y_0,Eq_y_1)
| ~ v2_tops_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_58,axiom,
( v3_tops_1(Eq_y_0,Eq_y_1)
| ~ v3_tops_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_59,axiom,
( v1_tex_3(Eq_y_0,Eq_y_1)
| ~ v1_tex_3(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_60,axiom,
( v1_tsep_1(Eq_y_0,Eq_y_1)
| ~ v1_tsep_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_61,axiom,
( v4_tdlat_3(Eq_y_0)
| ~ v4_tdlat_3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_62,axiom,
( v5_tdlat_3(Eq_y_0)
| ~ v5_tdlat_3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_63,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_64,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_65,axiom,
( v5_pre_topc(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v5_pre_topc(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_66,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_67,axiom,
( v3_borsuk_1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v3_borsuk_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,
( l1_struct_0(Eq_y_0)
| ~ l1_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_69,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_70,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 : TOP035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 20 08:28:26 UTC 2026
% 0.09/0.38 % CPUTime :
% 171.35/171.65 % SZS status Theorem for theBenchmark
% 171.35/171.65 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------