%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT362+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:48:22 AM UTC 2026
% Result : Theorem 0.90s 1.14s
% Output : Proof 0.90s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t20_waybel34,conjecture,
! [A] :
( ~ v2_setfam_1(A)
=> r2_functor0(k4_waybel34(A),k5_waybel34(A)) ),
file('theBenchmark.p',t20_waybel34) ).
fof(abstractness_v6_altcat_1,axiom,
! [A] :
( l2_altcat_1(A)
=> ( v6_altcat_1(A)
=> A = g2_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A)) ) ),
file('theBenchmark.p',abstractness_v6_altcat_1) ).
fof(abstractness_v9_functor0,axiom,
! [A,B,C] :
( ( l2_functor0(C,A,B)
& l1_altcat_1(B)
& l1_altcat_1(A) )
=> ( v9_functor0(C,A,B)
=> C = g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C)) ) ),
file('theBenchmark.p',abstractness_v9_functor0) ).
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(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(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(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(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_finset_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_finset_1(A) ),
file('theBenchmark.p',cc1_finset_1) ).
fof(cc1_funct_1,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
file('theBenchmark.p',cc1_funct_1) ).
fof(cc1_functor0,axiom,
! [A,B,C,D,E] :
( ( m1_pboole(E,B)
& m1_pboole(D,A)
& m1_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [F] :
( m1_functor0(F,A,B,C,D,E)
=> v1_funcop_1(F) ) ),
file('theBenchmark.p',cc1_functor0) ).
fof(cc1_functor2,axiom,
! [A,B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& ~ v3_struct_0(B)
& l2_altcat_1(A)
& v12_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m2_functor0(C,A,B)
=> ( v12_functor0(C,A,B)
& v8_functor0(C,A,B) ) ) ),
file('theBenchmark.p',cc1_functor2) ).
fof(cc1_membered,axiom,
! [A] :
( v5_membered(A)
=> v4_membered(A) ),
file('theBenchmark.p',cc1_membered) ).
fof(cc1_relset_1,axiom,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
=> v1_relat_1(C) ),
file('theBenchmark.p',cc1_relset_1) ).
fof(cc1_yellow21,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( v3_yellow21(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ( v2_yellow21(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc1_yellow21) ).
fof(cc20_membered,axiom,
! [A] :
( v5_membered(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> ( v5_membered(B)
& v4_membered(B)
& v3_membered(B)
& v2_membered(B)
& v1_membered(B) ) ) ),
file('theBenchmark.p',cc20_membered) ).
fof(cc2_finset_1,axiom,
! [A] :
( v1_finset_1(A)
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(A))
=> v1_finset_1(B) ) ),
file('theBenchmark.p',cc2_finset_1) ).
fof(cc2_funct_1,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('theBenchmark.p',cc2_funct_1) ).
fof(cc2_functor0,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( v12_altcat_1(A)
& ~ v3_struct_0(A) )
=> ( v1_altcat_2(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc2_functor0) ).
fof(cc2_membered,axiom,
! [A] :
( v4_membered(A)
=> v3_membered(A) ),
file('theBenchmark.p',cc2_membered) ).
fof(cc2_setfam_1,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ~ v1_xboole_0(A) ),
file('theBenchmark.p',cc2_setfam_1) ).
fof(cc2_yellow21,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( v2_yellow21(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ( v1_yellow21(A)
& v4_yellow18(A)
& v3_yellow18(A)
& v2_yellow18(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v9_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc2_yellow21) ).
fof(cc3_membered,axiom,
! [A] :
( v3_membered(A)
=> v2_membered(A) ),
file('theBenchmark.p',cc3_membered) ).
fof(cc4_functor0,axiom,
! [A,B] :
( ( l1_struct_0(B)
& ~ v3_struct_0(B)
& l1_struct_0(A) )
=> ! [C] :
( l1_functor0(C,A,B)
=> ( v11_functor0(C,A,B)
=> v6_functor0(C,A,B) ) ) ),
file('theBenchmark.p',cc4_functor0) ).
fof(cc4_functor2,axiom,
! [A,B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& ~ v3_struct_0(B)
& l2_altcat_1(A)
& v12_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m2_functor0(C,A,B)
=> ( v16_functor0(C,A,B)
=> ( v14_functor0(C,A,B)
& v12_functor0(C,A,B)
& v11_functor0(C,A,B)
& v8_functor0(C,A,B)
& v6_functor0(C,A,B) ) ) ) ),
file('theBenchmark.p',cc4_functor2) ).
fof(cc4_membered,axiom,
! [A] :
( v2_membered(A)
=> v1_membered(A) ),
file('theBenchmark.p',cc4_membered) ).
fof(cc5_functor2,axiom,
! [A,B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& ~ v3_struct_0(B)
& l2_altcat_1(A)
& v12_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m2_functor0(C,A,B)
=> ( ( v14_functor0(C,A,B)
& v11_functor0(C,A,B) )
=> ( v16_functor0(C,A,B)
& v12_functor0(C,A,B)
& v8_functor0(C,A,B)
& v6_functor0(C,A,B) ) ) ) ),
file('theBenchmark.p',cc5_functor2) ).
fof(cc6_functor0,axiom,
! [A,B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& ~ v3_struct_0(B)
& l2_altcat_1(A)
& v12_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m2_functor0(C,A,B)
=> ( v16_functor0(C,A,B)
=> v6_functor0(C,A,B) ) ) ),
file('theBenchmark.p',cc6_functor0) ).
fof(d41_functor0,axiom,
! [A] :
( ( l2_altcat_1(A)
& v12_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B) )
=> ( r2_functor0(A,B)
<=> ? [C] :
( v16_functor0(C,A,B)
& v21_functor0(C,A,B)
& m2_functor0(C,A,B) ) ) ) ),
file('theBenchmark.p',d41_functor0) ).
fof(dt_g2_altcat_1,axiom,
! [A,B,C] :
( ( m3_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B))
& m1_pboole(B,k2_zfmisc_1(A,A)) )
=> ( l2_altcat_1(g2_altcat_1(A,B,C))
& v6_altcat_1(g2_altcat_1(A,B,C)) ) ),
file('theBenchmark.p',dt_g2_altcat_1) ).
fof(dt_g2_functor0,axiom,
! [A,B,C,D] :
( ( m1_functor0(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),C,u1_altcat_1(A),u1_altcat_1(B))
& m1_relset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
& v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
& v1_funct_1(C)
& l1_altcat_1(B)
& l1_altcat_1(A) )
=> ( l2_functor0(g2_functor0(A,B,C,D),A,B)
& v9_functor0(g2_functor0(A,B,C,D),A,B) ) ),
file('theBenchmark.p',dt_g2_functor0) ).
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_altcat_1,axiom,
! [A,B] :
( m1_pboole(B,k2_zfmisc_1(A,A))
=> m1_pboole(k2_altcat_1(A,B),k3_zfmisc_1(A,A,A)) ),
file('theBenchmark.p',dt_k2_altcat_1) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k2_zfmisc_1) ).
fof(dt_k3_altcat_1,axiom,
! [A,B,C] :
( ( m1_pboole(C,k2_zfmisc_1(A,A))
& m1_pboole(B,k2_zfmisc_1(A,A)) )
=> m1_pboole(k3_altcat_1(A,B,C),k3_zfmisc_1(A,A,A)) ),
file('theBenchmark.p',dt_k3_altcat_1) ).
fof(dt_k3_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k3_zfmisc_1) ).
fof(dt_k4_waybel34,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( l2_altcat_1(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& ~ v3_struct_0(k4_waybel34(A)) ) ),
file('theBenchmark.p',dt_k4_waybel34) ).
fof(dt_k5_waybel34,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( l2_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& ~ v3_struct_0(k5_waybel34(A)) ) ),
file('theBenchmark.p',dt_k5_waybel34) ).
fof(dt_k6_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
file('theBenchmark.p',dt_k6_waybel34) ).
fof(dt_l1_altcat_1,axiom,
! [A] :
( l1_altcat_1(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_altcat_1) ).
fof(dt_l1_functor0,axiom,
$true,
file('theBenchmark.p',dt_l1_functor0) ).
fof(dt_l1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_l1_struct_0) ).
fof(dt_l2_altcat_1,axiom,
! [A] :
( l2_altcat_1(A)
=> l1_altcat_1(A) ),
file('theBenchmark.p',dt_l2_altcat_1) ).
fof(dt_l2_functor0,axiom,
! [A,B] :
( ( l1_altcat_1(B)
& l1_altcat_1(A) )
=> ! [C] :
( l2_functor0(C,A,B)
=> l1_functor0(C,A,B) ) ),
file('theBenchmark.p',dt_l2_functor0) ).
fof(dt_m1_functor0,axiom,
! [A,B,C,D,E] :
( ( m1_pboole(E,B)
& m1_pboole(D,A)
& m1_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ! [F] :
( m1_functor0(F,A,B,C,D,E)
=> m1_pboole(F,A) ) ),
file('theBenchmark.p',dt_m1_functor0) ).
fof(dt_m1_pboole,axiom,
! [A,B] :
( m1_pboole(B,A)
=> ( v1_funct_1(B)
& v1_relat_1(B) ) ),
file('theBenchmark.p',dt_m1_pboole) ).
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_functor0,axiom,
! [A,B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& ~ v3_struct_0(B)
& l2_altcat_1(A)
& v12_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m2_functor0(C,A,B)
=> l2_functor0(C,A,B) ) ),
file('theBenchmark.p',dt_m2_functor0) ).
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_m3_pboole,axiom,
! [A,B,C] :
( ( m1_pboole(C,A)
& m1_pboole(B,A) )
=> ! [D] :
( m3_pboole(D,A,B,C)
=> m1_pboole(D,A) ) ),
file('theBenchmark.p',dt_m3_pboole) ).
fof(dt_u1_altcat_1,axiom,
! [A] :
( l1_altcat_1(A)
=> m1_pboole(u1_altcat_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ),
file('theBenchmark.p',dt_u1_altcat_1) ).
fof(dt_u1_functor0,axiom,
! [A,B,C] :
( ( l1_functor0(C,A,B)
& l1_struct_0(B)
& l1_struct_0(A) )
=> ( m2_relset_1(u1_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
& v1_funct_2(u1_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
& v1_funct_1(u1_functor0(A,B,C)) ) ),
file('theBenchmark.p',dt_u1_functor0) ).
fof(dt_u1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_u1_struct_0) ).
fof(dt_u2_altcat_1,axiom,
! [A] :
( l2_altcat_1(A)
=> m3_pboole(u2_altcat_1(A),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_altcat_1(u1_struct_0(A),u1_altcat_1(A),u1_altcat_1(A)),k2_altcat_1(u1_struct_0(A),u1_altcat_1(A))) ),
file('theBenchmark.p',dt_u2_altcat_1) ).
fof(dt_u2_functor0,axiom,
! [A,B,C] :
( ( l2_functor0(C,A,B)
& l1_altcat_1(B)
& l1_altcat_1(A) )
=> m1_functor0(u2_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),u1_altcat_1(A),u1_altcat_1(B)) ),
file('theBenchmark.p',dt_u2_functor0) ).
fof(existence_l1_altcat_1,axiom,
? [A] : l1_altcat_1(A),
file('theBenchmark.p',existence_l1_altcat_1) ).
fof(existence_l1_functor0,axiom,
! [A,B] :
( ( l1_struct_0(B)
& l1_struct_0(A) )
=> ? [C] : l1_functor0(C,A,B) ),
file('theBenchmark.p',existence_l1_functor0) ).
fof(existence_l1_struct_0,axiom,
? [A] : l1_struct_0(A),
file('theBenchmark.p',existence_l1_struct_0) ).
fof(existence_l2_altcat_1,axiom,
? [A] : l2_altcat_1(A),
file('theBenchmark.p',existence_l2_altcat_1) ).
fof(existence_l2_functor0,axiom,
! [A,B] :
( ( l1_altcat_1(B)
& l1_altcat_1(A) )
=> ? [C] : l2_functor0(C,A,B) ),
file('theBenchmark.p',existence_l2_functor0) ).
fof(existence_m1_functor0,axiom,
! [A,B,C,D,E] :
( ( m1_pboole(E,B)
& m1_pboole(D,A)
& m1_relset_1(C,A,B)
& v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ? [F] : m1_functor0(F,A,B,C,D,E) ),
file('theBenchmark.p',existence_m1_functor0) ).
fof(existence_m1_pboole,axiom,
! [A] :
? [B] : m1_pboole(B,A),
file('theBenchmark.p',existence_m1_pboole) ).
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_functor0,axiom,
! [A,B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& ~ v3_struct_0(B)
& l2_altcat_1(A)
& v12_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ? [C] : m2_functor0(C,A,B) ),
file('theBenchmark.p',existence_m2_functor0) ).
fof(existence_m2_relset_1,axiom,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
file('theBenchmark.p',existence_m2_relset_1) ).
fof(existence_m3_pboole,axiom,
! [A,B,C] :
( ( m1_pboole(C,A)
& m1_pboole(B,A) )
=> ? [D] : m3_pboole(D,A,B,C) ),
file('theBenchmark.p',existence_m3_pboole) ).
fof(fc14_finset_1,axiom,
! [A,B] :
( ( v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k2_zfmisc_1(A,B)) ),
file('theBenchmark.p',fc14_finset_1) ).
fof(fc15_finset_1,axiom,
! [A,B,C] :
( ( v1_finset_1(C)
& v1_finset_1(B)
& v1_finset_1(A) )
=> v1_finset_1(k3_zfmisc_1(A,B,C)) ),
file('theBenchmark.p',fc15_finset_1) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('theBenchmark.p',fc1_struct_0) ).
fof(fc5_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v3_yellow21(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& v1_yellow21(k4_waybel34(A))
& v4_yellow18(k4_waybel34(A))
& v3_yellow18(k4_waybel34(A))
& v2_yellow18(k4_waybel34(A))
& v1_altcat_2(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v9_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& ~ v3_struct_0(k4_waybel34(A)) ) ),
file('theBenchmark.p',fc5_waybel34) ).
fof(fc6_membered,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('theBenchmark.p',fc6_membered) ).
fof(fc6_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v3_yellow21(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v1_yellow21(k5_waybel34(A))
& v4_yellow18(k5_waybel34(A))
& v3_yellow18(k5_waybel34(A))
& v2_yellow18(k5_waybel34(A))
& v1_altcat_2(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v9_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& ~ v3_struct_0(k5_waybel34(A)) ) ),
file('theBenchmark.p',fc6_waybel34) ).
fof(fc7_functor0,axiom,
! [A,B,C] :
( ( l2_functor0(C,A,B)
& l1_altcat_1(B)
& l1_altcat_1(A) )
=> ( v1_funcop_1(u2_functor0(A,B,C))
& v1_funct_1(u2_functor0(A,B,C))
& v1_relat_1(u2_functor0(A,B,C)) ) ),
file('theBenchmark.p',fc7_functor0) ).
fof(fc7_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
file('theBenchmark.p',fc7_waybel34) ).
fof(free_g2_altcat_1,axiom,
! [A,B,C] :
( ( m3_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B))
& m1_pboole(B,k2_zfmisc_1(A,A)) )
=> ! [D,E,F] :
( g2_altcat_1(A,B,C) = g2_altcat_1(D,E,F)
=> ( C = F
& B = E
& A = D ) ) ),
file('theBenchmark.p',free_g2_altcat_1) ).
fof(free_g2_functor0,axiom,
! [A,B,C,D] :
( ( m1_functor0(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),C,u1_altcat_1(A),u1_altcat_1(B))
& m1_relset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
& v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
& v1_funct_1(C)
& l1_altcat_1(B)
& l1_altcat_1(A) )
=> ! [E,F,G,H] :
( g2_functor0(A,B,C,D) = g2_functor0(E,F,G,H)
=> ( D = H
& C = G
& B = F
& A = E ) ) ),
file('theBenchmark.p',free_g2_functor0) ).
fof(rc1_finset_1,axiom,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
file('theBenchmark.p',rc1_finset_1) ).
fof(rc1_funct_1,axiom,
? [A] :
( v1_funct_1(A)
& v1_relat_1(A) ),
file('theBenchmark.p',rc1_funct_1) ).
fof(rc1_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_yellow21,axiom,
? [A] :
( v3_yellow21(A)
& v2_yellow21(A)
& v1_yellow21(A)
& v4_yellow18(A)
& v3_yellow18(A)
& v2_yellow18(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v9_altcat_1(A)
& v6_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A)
& l2_altcat_1(A) ),
file('theBenchmark.p',rc1_yellow21) ).
fof(rc2_funct_1,axiom,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
file('theBenchmark.p',rc2_funct_1) ).
fof(rc2_setfam_1,axiom,
? [A] : ~ v2_setfam_1(A),
file('theBenchmark.p',rc2_setfam_1) ).
fof(rc3_finset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc3_finset_1) ).
fof(rc3_funct_1,axiom,
? [A] :
( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
file('theBenchmark.p',rc3_funct_1) ).
fof(rc3_functor0,axiom,
! [A,B] :
( ( l1_altcat_1(B)
& l1_altcat_1(A) )
=> ? [C] :
( v9_functor0(C,A,B)
& l2_functor0(C,A,B) ) ),
file('theBenchmark.p',rc3_functor0) ).
fof(rc3_setfam_1,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,A) ) ),
file('theBenchmark.p',rc3_setfam_1) ).
fof(rc3_struct_0,axiom,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
file('theBenchmark.p',rc3_struct_0) ).
fof(rc4_finset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc4_finset_1) ).
fof(rc5_functor0,axiom,
! [A,B] :
( ( l1_altcat_1(B)
& l1_altcat_1(A) )
=> ? [C] :
( v11_functor0(C,A,B)
& l2_functor0(C,A,B) ) ),
file('theBenchmark.p',rc5_functor0) ).
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(rc7_functor0,axiom,
? [A] :
( v1_altcat_2(A)
& ~ v3_struct_0(A)
& l2_altcat_1(A) ),
file('theBenchmark.p',rc7_functor0) ).
fof(rc8_functor0,axiom,
! [A,B] :
( ( l1_altcat_1(B)
& v1_altcat_2(B)
& ~ v3_struct_0(B)
& l1_altcat_1(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v8_functor0(C,A,B)
& v6_functor0(C,A,B)
& l2_functor0(C,A,B) ) ),
file('theBenchmark.p',rc8_functor0) ).
fof(rc9_functor0,axiom,
! [A,B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& ~ v3_struct_0(B)
& l2_altcat_1(A)
& v12_altcat_1(A)
& ~ v3_struct_0(A) )
=> ? [C] :
( v12_functor0(C,A,B)
& v9_functor0(C,A,B)
& v8_functor0(C,A,B)
& v6_functor0(C,A,B)
& l2_functor0(C,A,B) ) ),
file('theBenchmark.p',rc9_functor0) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('theBenchmark.p',redefinition_m2_relset_1) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(symmetry_r2_functor0,axiom,
! [A,B] :
( ( l2_altcat_1(B)
& v12_altcat_1(B)
& v2_altcat_1(B)
& ~ v3_struct_0(B)
& l2_altcat_1(A)
& v12_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
=> ( r2_functor0(A,B)
=> r2_functor0(B,A) ) ),
file('theBenchmark.p',symmetry_r2_functor0) ).
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] :
( ~ v2_setfam_1(A)
=> r2_functor0(k4_waybel34(A),k5_waybel34(A)) ),
inference(negate,[status(cth)],[t20_waybel34]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ~ r2_functor0(k4_waybel34(A),k5_waybel34(A))
& ~ v2_setfam_1(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_0] :
( ~ r2_functor0(k4_waybel34(U_0),k5_waybel34(U_0))
& ~ v2_setfam_1(U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ~ r2_functor0(k4_waybel34(sK1),k5_waybel34(sK1))
& ~ v2_setfam_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ~ r2_functor0(k4_waybel34(sK1),k5_waybel34(sK1))
& ~ v2_setfam_1(sK1) ),
inference(definitional_conversion,[status(esa)],[f_1_4]) ).
cnf(f_1_6,negated_conjecture,
~ v2_setfam_1(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
~ r2_functor0(k4_waybel34(sK1),k5_waybel34(sK1)),
inference(clausify,[status(thm)],[f_1_5]) ).
fof(f_2_1,plain,
! [A] :
( A = g2_altcat_1(u1_struct_0(A),u1_altcat_1(A),u2_altcat_1(A))
| ~ v6_altcat_1(A)
| ~ l2_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v6_altcat_1]) ).
fof(f_2_2,plain,
! [U_1] :
( U_1 = g2_altcat_1(u1_struct_0(U_1),u1_altcat_1(U_1),u2_altcat_1(U_1))
| ~ v6_altcat_1(U_1)
| ~ l2_altcat_1(U_1) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( U_1 = g2_altcat_1(u1_struct_0(U_1),u1_altcat_1(U_1),u2_altcat_1(U_1))
| ~ v6_altcat_1(U_1)
| ~ l2_altcat_1(U_1) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A,B,C] :
( C = g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C))
| ~ v9_functor0(C,A,B)
| ~ l2_functor0(C,A,B)
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v9_functor0]) ).
fof(f_3_2,plain,
! [U_4,U_3,U_2] :
( U_2 = g2_functor0(U_4,U_3,u1_functor0(U_4,U_3,U_2),u2_functor0(U_4,U_3,U_2))
| ~ v9_functor0(U_2,U_4,U_3)
| ~ l2_functor0(U_2,U_4,U_3)
| ~ l1_altcat_1(U_3)
| ~ l1_altcat_1(U_4) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( U_2 = g2_functor0(U_4,U_3,u1_functor0(U_4,U_3,U_2),u2_functor0(U_4,U_3,U_2))
| ~ v9_functor0(U_2,U_4,U_3)
| ~ l2_functor0(U_2,U_4,U_3)
| ~ l1_altcat_1(U_3)
| ~ l1_altcat_1(U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
! [A,B] :
( ~ r2_hidden(B,A)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(f_4_2,plain,
! [U_6,U_5] :
( ~ r2_hidden(U_5,U_6)
| ~ r2_hidden(U_6,U_5) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( ~ r2_hidden(U_5,U_6)
| ~ r2_hidden(U_6,U_5) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_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_5_2,plain,
! [U_8] :
( ! [U_7] :
( v1_xcmplx_0(U_7)
| ~ m1_subset_1(U_7,U_8) )
| ~ v1_membered(U_8) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( v1_xcmplx_0(U_7)
| ~ m1_subset_1(U_7,U_8)
| ~ v1_membered(U_8) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A] :
( ! [B] :
( ( v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc11_membered]) ).
fof(f_6_2,plain,
! [U_10] :
( ! [U_9] :
( ( v1_xreal_0(U_9)
& v1_xcmplx_0(U_9) )
| ~ m1_subset_1(U_9,U_10) )
| ~ v2_membered(U_10) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( v1_xcmplx_0(U_9)
| ~ m1_subset_1(U_9,U_10)
| ~ v2_membered(U_10) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( v1_xreal_0(U_9)
| ~ m1_subset_1(U_9,U_10)
| ~ v2_membered(U_10) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_xreal_0(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v3_membered(A) ),
inference(fof_nnf,[status(thm)],[cc12_membered]) ).
fof(f_7_2,plain,
! [U_12] :
( ! [U_11] :
( ( v1_rat_1(U_11)
& v1_xreal_0(U_11)
& v1_xcmplx_0(U_11) )
| ~ m1_subset_1(U_11,U_12) )
| ~ v3_membered(U_12) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( v1_xcmplx_0(U_11)
| ~ m1_subset_1(U_11,U_12)
| ~ v3_membered(U_12) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_4,plain,
( v1_xreal_0(U_11)
| ~ m1_subset_1(U_11,U_12)
| ~ v3_membered(U_12) ),
inference(clausify,[status(thm)],[f_7_2]) ).
cnf(f_7_5,plain,
( v1_rat_1(U_11)
| ~ m1_subset_1(U_11,U_12)
| ~ v3_membered(U_12) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_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_8_2,plain,
! [U_14] :
( ! [U_13] :
( ( v1_rat_1(U_13)
& v1_int_1(U_13)
& v1_xreal_0(U_13)
& v1_xcmplx_0(U_13) )
| ~ m1_subset_1(U_13,U_14) )
| ~ v4_membered(U_14) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( v1_xcmplx_0(U_13)
| ~ m1_subset_1(U_13,U_14)
| ~ v4_membered(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( v1_xreal_0(U_13)
| ~ m1_subset_1(U_13,U_14)
| ~ v4_membered(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_5,plain,
( v1_int_1(U_13)
| ~ m1_subset_1(U_13,U_14)
| ~ v4_membered(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_6,plain,
( v1_rat_1(U_13)
| ~ m1_subset_1(U_13,U_14)
| ~ v4_membered(U_14) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [A] :
( ! [B] :
( ( v1_rat_1(B)
& v1_int_1(B)
& v1_xreal_0(B)
& v4_ordinal2(B)
& v1_xcmplx_0(B) )
| ~ m1_subset_1(B,A) )
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc14_membered]) ).
fof(f_9_2,plain,
! [U_16] :
( ! [U_15] :
( ( v1_rat_1(U_15)
& v1_int_1(U_15)
& v1_xreal_0(U_15)
& v4_ordinal2(U_15)
& v1_xcmplx_0(U_15) )
| ~ m1_subset_1(U_15,U_16) )
| ~ v5_membered(U_16) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( v1_xcmplx_0(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v5_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( v4_ordinal2(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v5_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_5,plain,
( v1_xreal_0(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v5_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_6,plain,
( v1_int_1(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v5_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_7,plain,
( v1_rat_1(U_15)
| ~ m1_subset_1(U_15,U_16)
| ~ v5_membered(U_16) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_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_10_2,plain,
! [U_17] :
( ( v5_membered(U_17)
& v4_membered(U_17)
& v3_membered(U_17)
& v2_membered(U_17)
& v1_membered(U_17) )
| ~ v1_xboole_0(U_17) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( v1_membered(U_17)
| ~ v1_xboole_0(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( v2_membered(U_17)
| ~ v1_xboole_0(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_5,plain,
( v3_membered(U_17)
| ~ v1_xboole_0(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_6,plain,
( v4_membered(U_17)
| ~ v1_xboole_0(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_7,plain,
( v5_membered(U_17)
| ~ v1_xboole_0(U_17) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_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_11_2,plain,
! [U_19] :
( ! [U_18] :
( v1_membered(U_18)
| ~ m1_subset_1(U_18,k1_zfmisc_1(U_19)) )
| ~ v1_membered(U_19) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( v1_membered(U_18)
| ~ m1_subset_1(U_18,k1_zfmisc_1(U_19))
| ~ v1_membered(U_19) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_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_12_2,plain,
! [U_21] :
( ! [U_20] :
( ( v2_membered(U_20)
& v1_membered(U_20) )
| ~ m1_subset_1(U_20,k1_zfmisc_1(U_21)) )
| ~ v2_membered(U_21) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( v1_membered(U_20)
| ~ m1_subset_1(U_20,k1_zfmisc_1(U_21))
| ~ v2_membered(U_21) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( v2_membered(U_20)
| ~ m1_subset_1(U_20,k1_zfmisc_1(U_21))
| ~ v2_membered(U_21) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_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_13_2,plain,
! [U_23] :
( ! [U_22] :
( ( v3_membered(U_22)
& v2_membered(U_22)
& v1_membered(U_22) )
| ~ m1_subset_1(U_22,k1_zfmisc_1(U_23)) )
| ~ v3_membered(U_23) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( v1_membered(U_22)
| ~ m1_subset_1(U_22,k1_zfmisc_1(U_23))
| ~ v3_membered(U_23) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( v2_membered(U_22)
| ~ m1_subset_1(U_22,k1_zfmisc_1(U_23))
| ~ v3_membered(U_23) ),
inference(clausify,[status(thm)],[f_13_2]) ).
cnf(f_13_5,plain,
( v3_membered(U_22)
| ~ m1_subset_1(U_22,k1_zfmisc_1(U_23))
| ~ v3_membered(U_23) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_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_14_2,plain,
! [U_25] :
( ! [U_24] :
( ( v4_membered(U_24)
& v3_membered(U_24)
& v2_membered(U_24)
& v1_membered(U_24) )
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25)) )
| ~ v4_membered(U_25) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( v1_membered(U_24)
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25))
| ~ v4_membered(U_25) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( v2_membered(U_24)
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25))
| ~ v4_membered(U_25) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_5,plain,
( v3_membered(U_24)
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25))
| ~ v4_membered(U_25) ),
inference(clausify,[status(thm)],[f_14_2]) ).
cnf(f_14_6,plain,
( v4_membered(U_24)
| ~ m1_subset_1(U_24,k1_zfmisc_1(U_25))
| ~ v4_membered(U_25) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [A] :
( v1_finset_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_finset_1]) ).
fof(f_15_2,plain,
! [U_26] :
( v1_finset_1(U_26)
| ~ v1_xboole_0(U_26) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( v1_finset_1(U_26)
| ~ v1_xboole_0(U_26) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [A] :
( v1_funct_1(A)
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_funct_1]) ).
fof(f_16_2,plain,
! [U_27] :
( v1_funct_1(U_27)
| ~ v1_xboole_0(U_27) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( v1_funct_1(U_27)
| ~ v1_xboole_0(U_27) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [A,B,C,D,E] :
( ! [F] :
( v1_funcop_1(F)
| ~ m1_functor0(F,A,B,C,D,E) )
| ~ m1_pboole(E,B)
| ~ m1_pboole(D,A)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[cc1_functor0]) ).
fof(f_17_2,plain,
! [U_33,U_32,U_31,U_30,U_29] :
( ! [U_28] :
( v1_funcop_1(U_28)
| ~ m1_functor0(U_28,U_33,U_32,U_31,U_30,U_29) )
| ~ m1_pboole(U_29,U_32)
| ~ m1_pboole(U_30,U_33)
| ~ m1_relset_1(U_31,U_33,U_32)
| ~ v1_funct_2(U_31,U_33,U_32)
| ~ v1_funct_1(U_31) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( v1_funcop_1(U_28)
| ~ m1_functor0(U_28,U_33,U_32,U_31,U_30,U_29)
| ~ m1_pboole(U_29,U_32)
| ~ m1_pboole(U_30,U_33)
| ~ m1_relset_1(U_31,U_33,U_32)
| ~ v1_funct_2(U_31,U_33,U_32)
| ~ v1_funct_1(U_31) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [A,B] :
( ! [C] :
( ( v12_functor0(C,A,B)
& v8_functor0(C,A,B) )
| ~ m2_functor0(C,A,B) )
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| v3_struct_0(B)
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc1_functor2]) ).
fof(f_18_2,plain,
! [U_36,U_35] :
( ! [U_34] :
( ( v12_functor0(U_34,U_36,U_35)
& v8_functor0(U_34,U_36,U_35) )
| ~ m2_functor0(U_34,U_36,U_35) )
| ~ l2_altcat_1(U_35)
| ~ v12_altcat_1(U_35)
| v3_struct_0(U_35)
| ~ l2_altcat_1(U_36)
| ~ v12_altcat_1(U_36)
| ~ v2_altcat_1(U_36)
| v3_struct_0(U_36) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( v8_functor0(U_34,U_36,U_35)
| ~ m2_functor0(U_34,U_36,U_35)
| ~ l2_altcat_1(U_35)
| ~ v12_altcat_1(U_35)
| v3_struct_0(U_35)
| ~ l2_altcat_1(U_36)
| ~ v12_altcat_1(U_36)
| ~ v2_altcat_1(U_36)
| v3_struct_0(U_36) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_4,plain,
( v12_functor0(U_34,U_36,U_35)
| ~ m2_functor0(U_34,U_36,U_35)
| ~ l2_altcat_1(U_35)
| ~ v12_altcat_1(U_35)
| v3_struct_0(U_35)
| ~ l2_altcat_1(U_36)
| ~ v12_altcat_1(U_36)
| ~ v2_altcat_1(U_36)
| v3_struct_0(U_36) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [A] :
( v4_membered(A)
| ~ v5_membered(A) ),
inference(fof_nnf,[status(thm)],[cc1_membered]) ).
fof(f_19_2,plain,
! [U_37] :
( v4_membered(U_37)
| ~ v5_membered(U_37) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( v4_membered(U_37)
| ~ v5_membered(U_37) ),
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_40,U_39,U_38] :
( v1_relat_1(U_38)
| ~ m1_subset_1(U_38,k1_zfmisc_1(k2_zfmisc_1(U_40,U_39))) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( v1_relat_1(U_38)
| ~ m1_subset_1(U_38,k1_zfmisc_1(k2_zfmisc_1(U_40,U_39))) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [A] :
( ( v2_yellow21(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
| ~ v3_yellow21(A)
| ~ v12_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A)
| ~ l2_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[cc1_yellow21]) ).
fof(f_21_2,plain,
! [U_41] :
( ( v2_yellow21(U_41)
& v1_altcat_2(U_41)
& v12_altcat_1(U_41)
& v11_altcat_1(U_41)
& v2_altcat_1(U_41)
& ~ v3_struct_0(U_41) )
| ~ v3_yellow21(U_41)
| ~ v12_altcat_1(U_41)
| ~ v11_altcat_1(U_41)
| ~ v2_altcat_1(U_41)
| v3_struct_0(U_41)
| ~ l2_altcat_1(U_41) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( ~ v3_struct_0(U_41)
| ~ v3_yellow21(U_41)
| ~ v12_altcat_1(U_41)
| ~ v11_altcat_1(U_41)
| ~ v2_altcat_1(U_41)
| v3_struct_0(U_41)
| ~ l2_altcat_1(U_41) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_4,plain,
( v2_altcat_1(U_41)
| ~ v3_yellow21(U_41)
| ~ v12_altcat_1(U_41)
| ~ v11_altcat_1(U_41)
| ~ v2_altcat_1(U_41)
| v3_struct_0(U_41)
| ~ l2_altcat_1(U_41) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_5,plain,
( v11_altcat_1(U_41)
| ~ v3_yellow21(U_41)
| ~ v12_altcat_1(U_41)
| ~ v11_altcat_1(U_41)
| ~ v2_altcat_1(U_41)
| v3_struct_0(U_41)
| ~ l2_altcat_1(U_41) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_6,plain,
( v12_altcat_1(U_41)
| ~ v3_yellow21(U_41)
| ~ v12_altcat_1(U_41)
| ~ v11_altcat_1(U_41)
| ~ v2_altcat_1(U_41)
| v3_struct_0(U_41)
| ~ l2_altcat_1(U_41) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_7,plain,
( v1_altcat_2(U_41)
| ~ v3_yellow21(U_41)
| ~ v12_altcat_1(U_41)
| ~ v11_altcat_1(U_41)
| ~ v2_altcat_1(U_41)
| v3_struct_0(U_41)
| ~ l2_altcat_1(U_41) ),
inference(clausify,[status(thm)],[f_21_2]) ).
cnf(f_21_8,plain,
( v2_yellow21(U_41)
| ~ v3_yellow21(U_41)
| ~ v12_altcat_1(U_41)
| ~ v11_altcat_1(U_41)
| ~ v2_altcat_1(U_41)
| v3_struct_0(U_41)
| ~ l2_altcat_1(U_41) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_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_22_2,plain,
! [U_43] :
( ! [U_42] :
( ( v5_membered(U_42)
& v4_membered(U_42)
& v3_membered(U_42)
& v2_membered(U_42)
& v1_membered(U_42) )
| ~ m1_subset_1(U_42,k1_zfmisc_1(U_43)) )
| ~ v5_membered(U_43) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( v1_membered(U_42)
| ~ m1_subset_1(U_42,k1_zfmisc_1(U_43))
| ~ v5_membered(U_43) ),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(f_22_4,plain,
( v2_membered(U_42)
| ~ m1_subset_1(U_42,k1_zfmisc_1(U_43))
| ~ v5_membered(U_43) ),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(f_22_5,plain,
( v3_membered(U_42)
| ~ m1_subset_1(U_42,k1_zfmisc_1(U_43))
| ~ v5_membered(U_43) ),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(f_22_6,plain,
( v4_membered(U_42)
| ~ m1_subset_1(U_42,k1_zfmisc_1(U_43))
| ~ v5_membered(U_43) ),
inference(clausify,[status(thm)],[f_22_2]) ).
cnf(f_22_7,plain,
( v5_membered(U_42)
| ~ m1_subset_1(U_42,k1_zfmisc_1(U_43))
| ~ v5_membered(U_43) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [A] :
( ! [B] :
( v1_finset_1(B)
| ~ m1_subset_1(B,k1_zfmisc_1(A)) )
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_finset_1]) ).
fof(f_23_2,plain,
! [U_45] :
( ! [U_44] :
( v1_finset_1(U_44)
| ~ m1_subset_1(U_44,k1_zfmisc_1(U_45)) )
| ~ v1_finset_1(U_45) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( v1_finset_1(U_44)
| ~ m1_subset_1(U_44,k1_zfmisc_1(U_45))
| ~ v1_finset_1(U_45) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [A] :
( ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ~ v1_funct_1(A)
| ~ v1_xboole_0(A)
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_funct_1]) ).
fof(f_24_2,plain,
! [U_46] :
( ( v2_funct_1(U_46)
& v1_funct_1(U_46)
& v1_relat_1(U_46) )
| ~ v1_funct_1(U_46)
| ~ v1_xboole_0(U_46)
| ~ v1_relat_1(U_46) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( v1_relat_1(U_46)
| ~ v1_funct_1(U_46)
| ~ v1_xboole_0(U_46)
| ~ v1_relat_1(U_46) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( v1_funct_1(U_46)
| ~ v1_funct_1(U_46)
| ~ v1_xboole_0(U_46)
| ~ v1_relat_1(U_46) ),
inference(clausify,[status(thm)],[f_24_2]) ).
cnf(f_24_5,plain,
( v2_funct_1(U_46)
| ~ v1_funct_1(U_46)
| ~ v1_xboole_0(U_46)
| ~ v1_relat_1(U_46) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
! [A] :
( ( v1_altcat_2(A)
& ~ v3_struct_0(A) )
| ~ v12_altcat_1(A)
| v3_struct_0(A)
| ~ l2_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_functor0]) ).
fof(f_25_2,plain,
! [U_47] :
( ( v1_altcat_2(U_47)
& ~ v3_struct_0(U_47) )
| ~ v12_altcat_1(U_47)
| v3_struct_0(U_47)
| ~ l2_altcat_1(U_47) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( ~ v3_struct_0(U_47)
| ~ v12_altcat_1(U_47)
| v3_struct_0(U_47)
| ~ l2_altcat_1(U_47) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_4,plain,
( v1_altcat_2(U_47)
| ~ v12_altcat_1(U_47)
| v3_struct_0(U_47)
| ~ l2_altcat_1(U_47) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [A] :
( v3_membered(A)
| ~ v4_membered(A) ),
inference(fof_nnf,[status(thm)],[cc2_membered]) ).
fof(f_26_2,plain,
! [U_48] :
( v3_membered(U_48)
| ~ v4_membered(U_48) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( v3_membered(U_48)
| ~ v4_membered(U_48) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
! [A] :
( ~ v1_xboole_0(A)
| v2_setfam_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_setfam_1]) ).
fof(f_27_2,plain,
! [U_49] :
( ~ v1_xboole_0(U_49)
| v2_setfam_1(U_49) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( ~ v1_xboole_0(U_49)
| v2_setfam_1(U_49) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
! [A] :
( ( v1_yellow21(A)
& v4_yellow18(A)
& v3_yellow18(A)
& v2_yellow18(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v9_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A) )
| ~ v2_yellow21(A)
| ~ v12_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A)
| ~ l2_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[cc2_yellow21]) ).
fof(f_28_2,plain,
! [U_50] :
( ( v1_yellow21(U_50)
& v4_yellow18(U_50)
& v3_yellow18(U_50)
& v2_yellow18(U_50)
& v1_altcat_2(U_50)
& v12_altcat_1(U_50)
& v11_altcat_1(U_50)
& v9_altcat_1(U_50)
& v2_altcat_1(U_50)
& ~ v3_struct_0(U_50) )
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( ~ v3_struct_0(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_4,plain,
( v2_altcat_1(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_5,plain,
( v9_altcat_1(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_6,plain,
( v11_altcat_1(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_7,plain,
( v12_altcat_1(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_8,plain,
( v1_altcat_2(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_9,plain,
( v2_yellow18(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_10,plain,
( v3_yellow18(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_11,plain,
( v4_yellow18(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
inference(clausify,[status(thm)],[f_28_2]) ).
cnf(f_28_12,plain,
( v1_yellow21(U_50)
| ~ v2_yellow21(U_50)
| ~ v12_altcat_1(U_50)
| ~ v11_altcat_1(U_50)
| ~ v2_altcat_1(U_50)
| v3_struct_0(U_50)
| ~ l2_altcat_1(U_50) ),
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_51] :
( v2_membered(U_51)
| ~ v3_membered(U_51) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( v2_membered(U_51)
| ~ v3_membered(U_51) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [A,B] :
( ! [C] :
( v6_functor0(C,A,B)
| ~ v11_functor0(C,A,B)
| ~ l1_functor0(C,A,B) )
| ~ l1_struct_0(B)
| v3_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc4_functor0]) ).
fof(f_30_2,plain,
! [U_54,U_53] :
( ! [U_52] :
( v6_functor0(U_52,U_54,U_53)
| ~ v11_functor0(U_52,U_54,U_53)
| ~ l1_functor0(U_52,U_54,U_53) )
| ~ l1_struct_0(U_53)
| v3_struct_0(U_53)
| ~ l1_struct_0(U_54) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( v6_functor0(U_52,U_54,U_53)
| ~ v11_functor0(U_52,U_54,U_53)
| ~ l1_functor0(U_52,U_54,U_53)
| ~ l1_struct_0(U_53)
| v3_struct_0(U_53)
| ~ l1_struct_0(U_54) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [A,B] :
( ! [C] :
( ( v14_functor0(C,A,B)
& v12_functor0(C,A,B)
& v11_functor0(C,A,B)
& v8_functor0(C,A,B)
& v6_functor0(C,A,B) )
| ~ v16_functor0(C,A,B)
| ~ m2_functor0(C,A,B) )
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| v3_struct_0(B)
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc4_functor2]) ).
fof(f_31_2,plain,
! [U_57,U_56] :
( ! [U_55] :
( ( v14_functor0(U_55,U_57,U_56)
& v12_functor0(U_55,U_57,U_56)
& v11_functor0(U_55,U_57,U_56)
& v8_functor0(U_55,U_57,U_56)
& v6_functor0(U_55,U_57,U_56) )
| ~ v16_functor0(U_55,U_57,U_56)
| ~ m2_functor0(U_55,U_57,U_56) )
| ~ l2_altcat_1(U_56)
| ~ v12_altcat_1(U_56)
| v3_struct_0(U_56)
| ~ l2_altcat_1(U_57)
| ~ v12_altcat_1(U_57)
| ~ v2_altcat_1(U_57)
| v3_struct_0(U_57) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( v6_functor0(U_55,U_57,U_56)
| ~ v16_functor0(U_55,U_57,U_56)
| ~ m2_functor0(U_55,U_57,U_56)
| ~ l2_altcat_1(U_56)
| ~ v12_altcat_1(U_56)
| v3_struct_0(U_56)
| ~ l2_altcat_1(U_57)
| ~ v12_altcat_1(U_57)
| ~ v2_altcat_1(U_57)
| v3_struct_0(U_57) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( v8_functor0(U_55,U_57,U_56)
| ~ v16_functor0(U_55,U_57,U_56)
| ~ m2_functor0(U_55,U_57,U_56)
| ~ l2_altcat_1(U_56)
| ~ v12_altcat_1(U_56)
| v3_struct_0(U_56)
| ~ l2_altcat_1(U_57)
| ~ v12_altcat_1(U_57)
| ~ v2_altcat_1(U_57)
| v3_struct_0(U_57) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_5,plain,
( v11_functor0(U_55,U_57,U_56)
| ~ v16_functor0(U_55,U_57,U_56)
| ~ m2_functor0(U_55,U_57,U_56)
| ~ l2_altcat_1(U_56)
| ~ v12_altcat_1(U_56)
| v3_struct_0(U_56)
| ~ l2_altcat_1(U_57)
| ~ v12_altcat_1(U_57)
| ~ v2_altcat_1(U_57)
| v3_struct_0(U_57) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_6,plain,
( v12_functor0(U_55,U_57,U_56)
| ~ v16_functor0(U_55,U_57,U_56)
| ~ m2_functor0(U_55,U_57,U_56)
| ~ l2_altcat_1(U_56)
| ~ v12_altcat_1(U_56)
| v3_struct_0(U_56)
| ~ l2_altcat_1(U_57)
| ~ v12_altcat_1(U_57)
| ~ v2_altcat_1(U_57)
| v3_struct_0(U_57) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_7,plain,
( v14_functor0(U_55,U_57,U_56)
| ~ v16_functor0(U_55,U_57,U_56)
| ~ m2_functor0(U_55,U_57,U_56)
| ~ l2_altcat_1(U_56)
| ~ v12_altcat_1(U_56)
| v3_struct_0(U_56)
| ~ l2_altcat_1(U_57)
| ~ v12_altcat_1(U_57)
| ~ v2_altcat_1(U_57)
| v3_struct_0(U_57) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [A] :
( v1_membered(A)
| ~ v2_membered(A) ),
inference(fof_nnf,[status(thm)],[cc4_membered]) ).
fof(f_32_2,plain,
! [U_58] :
( v1_membered(U_58)
| ~ v2_membered(U_58) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( v1_membered(U_58)
| ~ v2_membered(U_58) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [A,B] :
( ! [C] :
( ( v16_functor0(C,A,B)
& v12_functor0(C,A,B)
& v8_functor0(C,A,B)
& v6_functor0(C,A,B) )
| ~ v14_functor0(C,A,B)
| ~ v11_functor0(C,A,B)
| ~ m2_functor0(C,A,B) )
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| v3_struct_0(B)
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc5_functor2]) ).
fof(f_33_2,plain,
! [U_61,U_60] :
( ! [U_59] :
( ( v16_functor0(U_59,U_61,U_60)
& v12_functor0(U_59,U_61,U_60)
& v8_functor0(U_59,U_61,U_60)
& v6_functor0(U_59,U_61,U_60) )
| ~ v14_functor0(U_59,U_61,U_60)
| ~ v11_functor0(U_59,U_61,U_60)
| ~ m2_functor0(U_59,U_61,U_60) )
| ~ l2_altcat_1(U_60)
| ~ v12_altcat_1(U_60)
| v3_struct_0(U_60)
| ~ l2_altcat_1(U_61)
| ~ v12_altcat_1(U_61)
| ~ v2_altcat_1(U_61)
| v3_struct_0(U_61) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( v6_functor0(U_59,U_61,U_60)
| ~ v14_functor0(U_59,U_61,U_60)
| ~ v11_functor0(U_59,U_61,U_60)
| ~ m2_functor0(U_59,U_61,U_60)
| ~ l2_altcat_1(U_60)
| ~ v12_altcat_1(U_60)
| v3_struct_0(U_60)
| ~ l2_altcat_1(U_61)
| ~ v12_altcat_1(U_61)
| ~ v2_altcat_1(U_61)
| v3_struct_0(U_61) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( v8_functor0(U_59,U_61,U_60)
| ~ v14_functor0(U_59,U_61,U_60)
| ~ v11_functor0(U_59,U_61,U_60)
| ~ m2_functor0(U_59,U_61,U_60)
| ~ l2_altcat_1(U_60)
| ~ v12_altcat_1(U_60)
| v3_struct_0(U_60)
| ~ l2_altcat_1(U_61)
| ~ v12_altcat_1(U_61)
| ~ v2_altcat_1(U_61)
| v3_struct_0(U_61) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_5,plain,
( v12_functor0(U_59,U_61,U_60)
| ~ v14_functor0(U_59,U_61,U_60)
| ~ v11_functor0(U_59,U_61,U_60)
| ~ m2_functor0(U_59,U_61,U_60)
| ~ l2_altcat_1(U_60)
| ~ v12_altcat_1(U_60)
| v3_struct_0(U_60)
| ~ l2_altcat_1(U_61)
| ~ v12_altcat_1(U_61)
| ~ v2_altcat_1(U_61)
| v3_struct_0(U_61) ),
inference(clausify,[status(thm)],[f_33_2]) ).
cnf(f_33_6,plain,
( v16_functor0(U_59,U_61,U_60)
| ~ v14_functor0(U_59,U_61,U_60)
| ~ v11_functor0(U_59,U_61,U_60)
| ~ m2_functor0(U_59,U_61,U_60)
| ~ l2_altcat_1(U_60)
| ~ v12_altcat_1(U_60)
| v3_struct_0(U_60)
| ~ l2_altcat_1(U_61)
| ~ v12_altcat_1(U_61)
| ~ v2_altcat_1(U_61)
| v3_struct_0(U_61) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [A,B] :
( ! [C] :
( v6_functor0(C,A,B)
| ~ v16_functor0(C,A,B)
| ~ m2_functor0(C,A,B) )
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| v3_struct_0(B)
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[cc6_functor0]) ).
fof(f_34_2,plain,
! [U_64,U_63] :
( ! [U_62] :
( v6_functor0(U_62,U_64,U_63)
| ~ v16_functor0(U_62,U_64,U_63)
| ~ m2_functor0(U_62,U_64,U_63) )
| ~ l2_altcat_1(U_63)
| ~ v12_altcat_1(U_63)
| v3_struct_0(U_63)
| ~ l2_altcat_1(U_64)
| ~ v12_altcat_1(U_64)
| ~ v2_altcat_1(U_64)
| v3_struct_0(U_64) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( v6_functor0(U_62,U_64,U_63)
| ~ v16_functor0(U_62,U_64,U_63)
| ~ m2_functor0(U_62,U_64,U_63)
| ~ l2_altcat_1(U_63)
| ~ v12_altcat_1(U_63)
| v3_struct_0(U_63)
| ~ l2_altcat_1(U_64)
| ~ v12_altcat_1(U_64)
| ~ v2_altcat_1(U_64)
| v3_struct_0(U_64) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
! [A] :
( ! [B] :
( ( ( r2_functor0(A,B)
| ! [C] :
( ~ v16_functor0(C,A,B)
| ~ v21_functor0(C,A,B)
| ~ m2_functor0(C,A,B) ) )
& ( ? [C] :
( v16_functor0(C,A,B)
& v21_functor0(C,A,B)
& m2_functor0(C,A,B) )
| ~ r2_functor0(A,B) ) )
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| ~ v2_altcat_1(B)
| v3_struct_0(B) )
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d41_functor0]) ).
fof(f_35_2,plain,
! [U_68] :
( ! [U_67] :
( ( ( r2_functor0(U_68,U_67)
| ! [U_66] :
( ~ v16_functor0(U_66,U_68,U_67)
| ~ v21_functor0(U_66,U_68,U_67)
| ~ m2_functor0(U_66,U_68,U_67) ) )
& ( ? [U_65] :
( v16_functor0(U_65,U_68,U_67)
& v21_functor0(U_65,U_68,U_67)
& m2_functor0(U_65,U_68,U_67) )
| ~ r2_functor0(U_68,U_67) ) )
| ~ l2_altcat_1(U_67)
| ~ v12_altcat_1(U_67)
| ~ v2_altcat_1(U_67)
| v3_struct_0(U_67) )
| ~ l2_altcat_1(U_68)
| ~ v12_altcat_1(U_68)
| ~ v2_altcat_1(U_68)
| v3_struct_0(U_68) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
! [U_68] :
( ! [U_67] :
( ( ( r2_functor0(U_68,U_67)
| ! [U_66] :
( ~ v16_functor0(U_66,U_68,U_67)
| ~ v21_functor0(U_66,U_68,U_67)
| ~ m2_functor0(U_66,U_68,U_67) ) )
& ( ( v16_functor0(sK2(U_68,U_67),U_68,U_67)
& v21_functor0(sK2(U_68,U_67),U_68,U_67)
& m2_functor0(sK2(U_68,U_67),U_68,U_67) )
| ~ r2_functor0(U_68,U_67) ) )
| ~ l2_altcat_1(U_67)
| ~ v12_altcat_1(U_67)
| ~ v2_altcat_1(U_67)
| v3_struct_0(U_67) )
| ~ l2_altcat_1(U_68)
| ~ v12_altcat_1(U_68)
| ~ v2_altcat_1(U_68)
| v3_struct_0(U_68) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_65,sK2(U_68,U_67))],[f_35_2]) ).
cnf(f_35_4,plain,
( m2_functor0(sK2(U_68,U_67),U_68,U_67)
| ~ r2_functor0(U_68,U_67)
| ~ l2_altcat_1(U_67)
| ~ v12_altcat_1(U_67)
| ~ v2_altcat_1(U_67)
| v3_struct_0(U_67)
| ~ l2_altcat_1(U_68)
| ~ v12_altcat_1(U_68)
| ~ v2_altcat_1(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_35_3]) ).
cnf(f_35_5,plain,
( v21_functor0(sK2(U_68,U_67),U_68,U_67)
| ~ r2_functor0(U_68,U_67)
| ~ l2_altcat_1(U_67)
| ~ v12_altcat_1(U_67)
| ~ v2_altcat_1(U_67)
| v3_struct_0(U_67)
| ~ l2_altcat_1(U_68)
| ~ v12_altcat_1(U_68)
| ~ v2_altcat_1(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_35_3]) ).
cnf(f_35_6,plain,
( v16_functor0(sK2(U_68,U_67),U_68,U_67)
| ~ r2_functor0(U_68,U_67)
| ~ l2_altcat_1(U_67)
| ~ v12_altcat_1(U_67)
| ~ v2_altcat_1(U_67)
| v3_struct_0(U_67)
| ~ l2_altcat_1(U_68)
| ~ v12_altcat_1(U_68)
| ~ v2_altcat_1(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_35_3]) ).
cnf(f_35_7,plain,
( r2_functor0(U_68,U_67)
| ~ v16_functor0(U_66,U_68,U_67)
| ~ v21_functor0(U_66,U_68,U_67)
| ~ m2_functor0(U_66,U_68,U_67)
| ~ l2_altcat_1(U_67)
| ~ v12_altcat_1(U_67)
| ~ v2_altcat_1(U_67)
| v3_struct_0(U_67)
| ~ l2_altcat_1(U_68)
| ~ v12_altcat_1(U_68)
| ~ v2_altcat_1(U_68)
| v3_struct_0(U_68) ),
inference(clausify,[status(thm)],[f_35_3]) ).
fof(f_36_1,plain,
! [A,B,C] :
( ( l2_altcat_1(g2_altcat_1(A,B,C))
& v6_altcat_1(g2_altcat_1(A,B,C)) )
| ~ m3_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B))
| ~ m1_pboole(B,k2_zfmisc_1(A,A)) ),
inference(fof_nnf,[status(thm)],[dt_g2_altcat_1]) ).
fof(f_36_2,plain,
! [U_71,U_70,U_69] :
( ( l2_altcat_1(g2_altcat_1(U_71,U_70,U_69))
& v6_altcat_1(g2_altcat_1(U_71,U_70,U_69)) )
| ~ m3_pboole(U_69,k3_zfmisc_1(U_71,U_71,U_71),k3_altcat_1(U_71,U_70,U_70),k2_altcat_1(U_71,U_70))
| ~ m1_pboole(U_70,k2_zfmisc_1(U_71,U_71)) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( v6_altcat_1(g2_altcat_1(U_71,U_70,U_69))
| ~ m3_pboole(U_69,k3_zfmisc_1(U_71,U_71,U_71),k3_altcat_1(U_71,U_70,U_70),k2_altcat_1(U_71,U_70))
| ~ m1_pboole(U_70,k2_zfmisc_1(U_71,U_71)) ),
inference(clausify,[status(thm)],[f_36_2]) ).
cnf(f_36_4,plain,
( l2_altcat_1(g2_altcat_1(U_71,U_70,U_69))
| ~ m3_pboole(U_69,k3_zfmisc_1(U_71,U_71,U_71),k3_altcat_1(U_71,U_70,U_70),k2_altcat_1(U_71,U_70))
| ~ m1_pboole(U_70,k2_zfmisc_1(U_71,U_71)) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
! [A,B,C,D] :
( ( l2_functor0(g2_functor0(A,B,C,D),A,B)
& v9_functor0(g2_functor0(A,B,C,D),A,B) )
| ~ m1_functor0(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),C,u1_altcat_1(A),u1_altcat_1(B))
| ~ m1_relset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
| ~ v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
| ~ v1_funct_1(C)
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_g2_functor0]) ).
fof(f_37_2,plain,
! [U_75,U_74,U_73,U_72] :
( ( l2_functor0(g2_functor0(U_75,U_74,U_73,U_72),U_75,U_74)
& v9_functor0(g2_functor0(U_75,U_74,U_73,U_72),U_75,U_74) )
| ~ m1_functor0(U_72,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)),U_73,u1_altcat_1(U_75),u1_altcat_1(U_74))
| ~ m1_relset_1(U_73,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)))
| ~ v1_funct_2(U_73,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)))
| ~ v1_funct_1(U_73)
| ~ l1_altcat_1(U_74)
| ~ l1_altcat_1(U_75) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( v9_functor0(g2_functor0(U_75,U_74,U_73,U_72),U_75,U_74)
| ~ m1_functor0(U_72,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)),U_73,u1_altcat_1(U_75),u1_altcat_1(U_74))
| ~ m1_relset_1(U_73,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)))
| ~ v1_funct_2(U_73,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)))
| ~ v1_funct_1(U_73)
| ~ l1_altcat_1(U_74)
| ~ l1_altcat_1(U_75) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_4,plain,
( l2_functor0(g2_functor0(U_75,U_74,U_73,U_72),U_75,U_74)
| ~ m1_functor0(U_72,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)),U_73,u1_altcat_1(U_75),u1_altcat_1(U_74))
| ~ m1_relset_1(U_73,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)))
| ~ v1_funct_2(U_73,k2_zfmisc_1(u1_struct_0(U_75),u1_struct_0(U_75)),k2_zfmisc_1(u1_struct_0(U_74),u1_struct_0(U_74)))
| ~ v1_funct_1(U_73)
| ~ l1_altcat_1(U_74)
| ~ l1_altcat_1(U_75) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
cnf(f_38_2,plain,
$true,
inference(clausify,[status(thm)],[f_38_1]) ).
fof(f_39_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
cnf(f_39_2,plain,
$true,
inference(clausify,[status(thm)],[f_39_1]) ).
fof(f_40_1,plain,
! [A,B] :
( m1_pboole(k2_altcat_1(A,B),k3_zfmisc_1(A,A,A))
| ~ m1_pboole(B,k2_zfmisc_1(A,A)) ),
inference(fof_nnf,[status(thm)],[dt_k2_altcat_1]) ).
fof(f_40_2,plain,
! [U_77,U_76] :
( m1_pboole(k2_altcat_1(U_77,U_76),k3_zfmisc_1(U_77,U_77,U_77))
| ~ m1_pboole(U_76,k2_zfmisc_1(U_77,U_77)) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
( m1_pboole(k2_altcat_1(U_77,U_76),k3_zfmisc_1(U_77,U_77,U_77))
| ~ m1_pboole(U_76,k2_zfmisc_1(U_77,U_77)) ),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_zfmisc_1]) ).
cnf(f_41_2,plain,
$true,
inference(clausify,[status(thm)],[f_41_1]) ).
fof(f_42_1,plain,
! [A,B,C] :
( m1_pboole(k3_altcat_1(A,B,C),k3_zfmisc_1(A,A,A))
| ~ m1_pboole(C,k2_zfmisc_1(A,A))
| ~ m1_pboole(B,k2_zfmisc_1(A,A)) ),
inference(fof_nnf,[status(thm)],[dt_k3_altcat_1]) ).
fof(f_42_2,plain,
! [U_80,U_79,U_78] :
( m1_pboole(k3_altcat_1(U_80,U_79,U_78),k3_zfmisc_1(U_80,U_80,U_80))
| ~ m1_pboole(U_78,k2_zfmisc_1(U_80,U_80))
| ~ m1_pboole(U_79,k2_zfmisc_1(U_80,U_80)) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( m1_pboole(k3_altcat_1(U_80,U_79,U_78),k3_zfmisc_1(U_80,U_80,U_80))
| ~ m1_pboole(U_78,k2_zfmisc_1(U_80,U_80))
| ~ m1_pboole(U_79,k2_zfmisc_1(U_80,U_80)) ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k3_zfmisc_1]) ).
cnf(f_43_2,plain,
$true,
inference(clausify,[status(thm)],[f_43_1]) ).
fof(f_44_1,plain,
! [A] :
( ( l2_altcat_1(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& ~ v3_struct_0(k4_waybel34(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_waybel34]) ).
fof(f_44_2,plain,
! [U_81] :
( ( l2_altcat_1(k4_waybel34(U_81))
& v2_yellow21(k4_waybel34(U_81))
& v12_altcat_1(k4_waybel34(U_81))
& v11_altcat_1(k4_waybel34(U_81))
& v6_altcat_1(k4_waybel34(U_81))
& v2_altcat_1(k4_waybel34(U_81))
& ~ v3_struct_0(k4_waybel34(U_81)) )
| v1_xboole_0(U_81) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
( ~ v3_struct_0(k4_waybel34(U_81))
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_4,plain,
( v2_altcat_1(k4_waybel34(U_81))
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_5,plain,
( v6_altcat_1(k4_waybel34(U_81))
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_6,plain,
( v11_altcat_1(k4_waybel34(U_81))
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_7,plain,
( v12_altcat_1(k4_waybel34(U_81))
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_8,plain,
( v2_yellow21(k4_waybel34(U_81))
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_44_2]) ).
cnf(f_44_9,plain,
( l2_altcat_1(k4_waybel34(U_81))
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [A] :
( ( l2_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& ~ v3_struct_0(k5_waybel34(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[dt_k5_waybel34]) ).
fof(f_45_2,plain,
! [U_82] :
( ( l2_altcat_1(k5_waybel34(U_82))
& v2_yellow21(k5_waybel34(U_82))
& v12_altcat_1(k5_waybel34(U_82))
& v11_altcat_1(k5_waybel34(U_82))
& v6_altcat_1(k5_waybel34(U_82))
& v2_altcat_1(k5_waybel34(U_82))
& ~ v3_struct_0(k5_waybel34(U_82)) )
| v1_xboole_0(U_82) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
( ~ v3_struct_0(k5_waybel34(U_82))
| v1_xboole_0(U_82) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_4,plain,
( v2_altcat_1(k5_waybel34(U_82))
| v1_xboole_0(U_82) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_5,plain,
( v6_altcat_1(k5_waybel34(U_82))
| v1_xboole_0(U_82) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_6,plain,
( v11_altcat_1(k5_waybel34(U_82))
| v1_xboole_0(U_82) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_7,plain,
( v12_altcat_1(k5_waybel34(U_82))
| v1_xboole_0(U_82) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_8,plain,
( v2_yellow21(k5_waybel34(U_82))
| v1_xboole_0(U_82) ),
inference(clausify,[status(thm)],[f_45_2]) ).
cnf(f_45_9,plain,
( l2_altcat_1(k5_waybel34(U_82))
| v1_xboole_0(U_82) ),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,plain,
! [A] :
( ( m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) )
| v2_setfam_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k6_waybel34]) ).
fof(f_46_2,plain,
! [U_83] :
( ( m2_functor0(k6_waybel34(U_83),k4_waybel34(U_83),k5_waybel34(U_83))
& v16_functor0(k6_waybel34(U_83),k4_waybel34(U_83),k5_waybel34(U_83))
& v9_functor0(k6_waybel34(U_83),k4_waybel34(U_83),k5_waybel34(U_83)) )
| v2_setfam_1(U_83) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
cnf(f_46_3,plain,
( v9_functor0(k6_waybel34(U_83),k4_waybel34(U_83),k5_waybel34(U_83))
| v2_setfam_1(U_83) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_4,plain,
( v16_functor0(k6_waybel34(U_83),k4_waybel34(U_83),k5_waybel34(U_83))
| v2_setfam_1(U_83) ),
inference(clausify,[status(thm)],[f_46_2]) ).
cnf(f_46_5,plain,
( m2_functor0(k6_waybel34(U_83),k4_waybel34(U_83),k5_waybel34(U_83))
| v2_setfam_1(U_83) ),
inference(clausify,[status(thm)],[f_46_2]) ).
fof(f_47_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_altcat_1]) ).
fof(f_47_2,plain,
! [U_84] :
( l1_struct_0(U_84)
| ~ l1_altcat_1(U_84) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
cnf(f_47_3,plain,
( l1_struct_0(U_84)
| ~ l1_altcat_1(U_84) ),
inference(clausify,[status(thm)],[f_47_2]) ).
fof(f_48_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_functor0]) ).
cnf(f_48_2,plain,
$true,
inference(clausify,[status(thm)],[f_48_1]) ).
fof(f_49_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
cnf(f_49_2,plain,
$true,
inference(clausify,[status(thm)],[f_49_1]) ).
fof(f_50_1,plain,
! [A] :
( l1_altcat_1(A)
| ~ l2_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_altcat_1]) ).
fof(f_50_2,plain,
! [U_85] :
( l1_altcat_1(U_85)
| ~ l2_altcat_1(U_85) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
cnf(f_50_3,plain,
( l1_altcat_1(U_85)
| ~ l2_altcat_1(U_85) ),
inference(clausify,[status(thm)],[f_50_2]) ).
fof(f_51_1,plain,
! [A,B] :
( ! [C] :
( l1_functor0(C,A,B)
| ~ l2_functor0(C,A,B) )
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_functor0]) ).
fof(f_51_2,plain,
! [U_88,U_87] :
( ! [U_86] :
( l1_functor0(U_86,U_88,U_87)
| ~ l2_functor0(U_86,U_88,U_87) )
| ~ l1_altcat_1(U_87)
| ~ l1_altcat_1(U_88) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
cnf(f_51_3,plain,
( l1_functor0(U_86,U_88,U_87)
| ~ l2_functor0(U_86,U_88,U_87)
| ~ l1_altcat_1(U_87)
| ~ l1_altcat_1(U_88) ),
inference(clausify,[status(thm)],[f_51_2]) ).
fof(f_52_1,plain,
! [A,B,C,D,E] :
( ! [F] :
( m1_pboole(F,A)
| ~ m1_functor0(F,A,B,C,D,E) )
| ~ m1_pboole(E,B)
| ~ m1_pboole(D,A)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[dt_m1_functor0]) ).
fof(f_52_2,plain,
! [U_94,U_93,U_92,U_91,U_90] :
( ! [U_89] :
( m1_pboole(U_89,U_94)
| ~ m1_functor0(U_89,U_94,U_93,U_92,U_91,U_90) )
| ~ m1_pboole(U_90,U_93)
| ~ m1_pboole(U_91,U_94)
| ~ m1_relset_1(U_92,U_94,U_93)
| ~ v1_funct_2(U_92,U_94,U_93)
| ~ v1_funct_1(U_92) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
cnf(f_52_3,plain,
( m1_pboole(U_89,U_94)
| ~ m1_functor0(U_89,U_94,U_93,U_92,U_91,U_90)
| ~ m1_pboole(U_90,U_93)
| ~ m1_pboole(U_91,U_94)
| ~ m1_relset_1(U_92,U_94,U_93)
| ~ v1_funct_2(U_92,U_94,U_93)
| ~ v1_funct_1(U_92) ),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
! [A,B] :
( ( v1_funct_1(B)
& v1_relat_1(B) )
| ~ m1_pboole(B,A) ),
inference(fof_nnf,[status(thm)],[dt_m1_pboole]) ).
fof(f_53_2,plain,
! [U_96,U_95] :
( ( v1_funct_1(U_95)
& v1_relat_1(U_95) )
| ~ m1_pboole(U_95,U_96) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
( v1_relat_1(U_95)
| ~ m1_pboole(U_95,U_96) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_4,plain,
( v1_funct_1(U_95)
| ~ m1_pboole(U_95,U_96) ),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_relset_1]) ).
cnf(f_54_2,plain,
$true,
inference(clausify,[status(thm)],[f_54_1]) ).
fof(f_55_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
cnf(f_55_2,plain,
$true,
inference(clausify,[status(thm)],[f_55_1]) ).
fof(f_56_1,plain,
! [A,B] :
( ! [C] :
( l2_functor0(C,A,B)
| ~ m2_functor0(C,A,B) )
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| v3_struct_0(B)
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m2_functor0]) ).
fof(f_56_2,plain,
! [U_99,U_98] :
( ! [U_97] :
( l2_functor0(U_97,U_99,U_98)
| ~ m2_functor0(U_97,U_99,U_98) )
| ~ l2_altcat_1(U_98)
| ~ v12_altcat_1(U_98)
| v3_struct_0(U_98)
| ~ l2_altcat_1(U_99)
| ~ v12_altcat_1(U_99)
| ~ v2_altcat_1(U_99)
| v3_struct_0(U_99) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
cnf(f_56_3,plain,
( l2_functor0(U_97,U_99,U_98)
| ~ m2_functor0(U_97,U_99,U_98)
| ~ l2_altcat_1(U_98)
| ~ v12_altcat_1(U_98)
| v3_struct_0(U_98)
| ~ l2_altcat_1(U_99)
| ~ v12_altcat_1(U_99)
| ~ v2_altcat_1(U_99)
| v3_struct_0(U_99) ),
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_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_57_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_57_1]) ).
cnf(f_57_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_57_2]) ).
fof(f_58_1,plain,
! [A,B,C] :
( ! [D] :
( m1_pboole(D,A)
| ~ m3_pboole(D,A,B,C) )
| ~ m1_pboole(C,A)
| ~ m1_pboole(B,A) ),
inference(fof_nnf,[status(thm)],[dt_m3_pboole]) ).
fof(f_58_2,plain,
! [U_106,U_105,U_104] :
( ! [U_103] :
( m1_pboole(U_103,U_106)
| ~ m3_pboole(U_103,U_106,U_105,U_104) )
| ~ m1_pboole(U_104,U_106)
| ~ m1_pboole(U_105,U_106) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
cnf(f_58_3,plain,
( m1_pboole(U_103,U_106)
| ~ m3_pboole(U_103,U_106,U_105,U_104)
| ~ m1_pboole(U_104,U_106)
| ~ m1_pboole(U_105,U_106) ),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
! [A] :
( m1_pboole(u1_altcat_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_altcat_1]) ).
fof(f_59_2,plain,
! [U_107] :
( m1_pboole(u1_altcat_1(U_107),k2_zfmisc_1(u1_struct_0(U_107),u1_struct_0(U_107)))
| ~ l1_altcat_1(U_107) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
cnf(f_59_3,plain,
( m1_pboole(u1_altcat_1(U_107),k2_zfmisc_1(u1_struct_0(U_107),u1_struct_0(U_107)))
| ~ l1_altcat_1(U_107) ),
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,plain,
! [A,B,C] :
( ( m2_relset_1(u1_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
& v1_funct_2(u1_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
& v1_funct_1(u1_functor0(A,B,C)) )
| ~ l1_functor0(C,A,B)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_functor0]) ).
fof(f_60_2,plain,
! [U_110,U_109,U_108] :
( ( m2_relset_1(u1_functor0(U_110,U_109,U_108),k2_zfmisc_1(u1_struct_0(U_110),u1_struct_0(U_110)),k2_zfmisc_1(u1_struct_0(U_109),u1_struct_0(U_109)))
& v1_funct_2(u1_functor0(U_110,U_109,U_108),k2_zfmisc_1(u1_struct_0(U_110),u1_struct_0(U_110)),k2_zfmisc_1(u1_struct_0(U_109),u1_struct_0(U_109)))
& v1_funct_1(u1_functor0(U_110,U_109,U_108)) )
| ~ l1_functor0(U_108,U_110,U_109)
| ~ l1_struct_0(U_109)
| ~ l1_struct_0(U_110) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
cnf(f_60_3,plain,
( v1_funct_1(u1_functor0(U_110,U_109,U_108))
| ~ l1_functor0(U_108,U_110,U_109)
| ~ l1_struct_0(U_109)
| ~ l1_struct_0(U_110) ),
inference(clausify,[status(thm)],[f_60_2]) ).
cnf(f_60_4,plain,
( v1_funct_2(u1_functor0(U_110,U_109,U_108),k2_zfmisc_1(u1_struct_0(U_110),u1_struct_0(U_110)),k2_zfmisc_1(u1_struct_0(U_109),u1_struct_0(U_109)))
| ~ l1_functor0(U_108,U_110,U_109)
| ~ l1_struct_0(U_109)
| ~ l1_struct_0(U_110) ),
inference(clausify,[status(thm)],[f_60_2]) ).
cnf(f_60_5,plain,
( m2_relset_1(u1_functor0(U_110,U_109,U_108),k2_zfmisc_1(u1_struct_0(U_110),u1_struct_0(U_110)),k2_zfmisc_1(u1_struct_0(U_109),u1_struct_0(U_109)))
| ~ l1_functor0(U_108,U_110,U_109)
| ~ l1_struct_0(U_109)
| ~ l1_struct_0(U_110) ),
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_0]) ).
cnf(f_61_2,plain,
$true,
inference(clausify,[status(thm)],[f_61_1]) ).
fof(f_62_1,plain,
! [A] :
( m3_pboole(u2_altcat_1(A),k3_zfmisc_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A)),k3_altcat_1(u1_struct_0(A),u1_altcat_1(A),u1_altcat_1(A)),k2_altcat_1(u1_struct_0(A),u1_altcat_1(A)))
| ~ l2_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_u2_altcat_1]) ).
fof(f_62_2,plain,
! [U_111] :
( m3_pboole(u2_altcat_1(U_111),k3_zfmisc_1(u1_struct_0(U_111),u1_struct_0(U_111),u1_struct_0(U_111)),k3_altcat_1(u1_struct_0(U_111),u1_altcat_1(U_111),u1_altcat_1(U_111)),k2_altcat_1(u1_struct_0(U_111),u1_altcat_1(U_111)))
| ~ l2_altcat_1(U_111) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
cnf(f_62_3,plain,
( m3_pboole(u2_altcat_1(U_111),k3_zfmisc_1(u1_struct_0(U_111),u1_struct_0(U_111),u1_struct_0(U_111)),k3_altcat_1(u1_struct_0(U_111),u1_altcat_1(U_111),u1_altcat_1(U_111)),k2_altcat_1(u1_struct_0(U_111),u1_altcat_1(U_111)))
| ~ l2_altcat_1(U_111) ),
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_1,plain,
! [A,B,C] :
( m1_functor0(u2_functor0(A,B,C),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),u1_functor0(A,B,C),u1_altcat_1(A),u1_altcat_1(B))
| ~ l2_functor0(C,A,B)
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_u2_functor0]) ).
fof(f_63_2,plain,
! [U_114,U_113,U_112] :
( m1_functor0(u2_functor0(U_114,U_113,U_112),k2_zfmisc_1(u1_struct_0(U_114),u1_struct_0(U_114)),k2_zfmisc_1(u1_struct_0(U_113),u1_struct_0(U_113)),u1_functor0(U_114,U_113,U_112),u1_altcat_1(U_114),u1_altcat_1(U_113))
| ~ l2_functor0(U_112,U_114,U_113)
| ~ l1_altcat_1(U_113)
| ~ l1_altcat_1(U_114) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
cnf(f_63_3,plain,
( m1_functor0(u2_functor0(U_114,U_113,U_112),k2_zfmisc_1(u1_struct_0(U_114),u1_struct_0(U_114)),k2_zfmisc_1(u1_struct_0(U_113),u1_struct_0(U_113)),u1_functor0(U_114,U_113,U_112),u1_altcat_1(U_114),u1_altcat_1(U_113))
| ~ l2_functor0(U_112,U_114,U_113)
| ~ l1_altcat_1(U_113)
| ~ l1_altcat_1(U_114) ),
inference(clausify,[status(thm)],[f_63_2]) ).
fof(f_64_1,plain,
? [A] : l1_altcat_1(A),
inference(fof_nnf,[status(thm)],[existence_l1_altcat_1]) ).
fof(f_64_2,plain,
? [U_115] : l1_altcat_1(U_115),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
l1_altcat_1(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_115,sK3)],[f_64_2]) ).
cnf(f_64_4,plain,
l1_altcat_1(sK3),
inference(clausify,[status(thm)],[f_64_3]) ).
fof(f_65_1,plain,
! [A,B] :
( ? [C] : l1_functor0(C,A,B)
| ~ l1_struct_0(B)
| ~ l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_l1_functor0]) ).
fof(f_65_2,plain,
! [U_118,U_117] :
( ? [U_116] : l1_functor0(U_116,U_118,U_117)
| ~ l1_struct_0(U_117)
| ~ l1_struct_0(U_118) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
! [U_118,U_117] :
( l1_functor0(sK4(U_118,U_117),U_118,U_117)
| ~ l1_struct_0(U_117)
| ~ l1_struct_0(U_118) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_116,sK4(U_118,U_117))],[f_65_2]) ).
cnf(f_65_4,plain,
( l1_functor0(sK4(U_118,U_117),U_118,U_117)
| ~ l1_struct_0(U_117)
| ~ l1_struct_0(U_118) ),
inference(clausify,[status(thm)],[f_65_3]) ).
fof(f_66_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_66_2,plain,
? [U_119] : l1_struct_0(U_119),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
l1_struct_0(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_119,sK5)],[f_66_2]) ).
cnf(f_66_4,plain,
l1_struct_0(sK5),
inference(clausify,[status(thm)],[f_66_3]) ).
fof(f_67_1,plain,
? [A] : l2_altcat_1(A),
inference(fof_nnf,[status(thm)],[existence_l2_altcat_1]) ).
fof(f_67_2,plain,
? [U_120] : l2_altcat_1(U_120),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
l2_altcat_1(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_120,sK6)],[f_67_2]) ).
cnf(f_67_4,plain,
l2_altcat_1(sK6),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
! [A,B] :
( ? [C] : l2_functor0(C,A,B)
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[existence_l2_functor0]) ).
fof(f_68_2,plain,
! [U_123,U_122] :
( ? [U_121] : l2_functor0(U_121,U_123,U_122)
| ~ l1_altcat_1(U_122)
| ~ l1_altcat_1(U_123) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
! [U_123,U_122] :
( l2_functor0(sK7(U_123,U_122),U_123,U_122)
| ~ l1_altcat_1(U_122)
| ~ l1_altcat_1(U_123) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_121,sK7(U_123,U_122))],[f_68_2]) ).
cnf(f_68_4,plain,
( l2_functor0(sK7(U_123,U_122),U_123,U_122)
| ~ l1_altcat_1(U_122)
| ~ l1_altcat_1(U_123) ),
inference(clausify,[status(thm)],[f_68_3]) ).
fof(f_69_1,plain,
! [A,B,C,D,E] :
( ? [F] : m1_functor0(F,A,B,C,D,E)
| ~ m1_pboole(E,B)
| ~ m1_pboole(D,A)
| ~ m1_relset_1(C,A,B)
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C) ),
inference(fof_nnf,[status(thm)],[existence_m1_functor0]) ).
fof(f_69_2,plain,
! [U_129,U_128,U_127,U_126,U_125] :
( ? [U_124] : m1_functor0(U_124,U_129,U_128,U_127,U_126,U_125)
| ~ m1_pboole(U_125,U_128)
| ~ m1_pboole(U_126,U_129)
| ~ m1_relset_1(U_127,U_129,U_128)
| ~ v1_funct_2(U_127,U_129,U_128)
| ~ v1_funct_1(U_127) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
! [U_129,U_128,U_127,U_126,U_125] :
( m1_functor0(sK8(U_129,U_128,U_127,U_126,U_125),U_129,U_128,U_127,U_126,U_125)
| ~ m1_pboole(U_125,U_128)
| ~ m1_pboole(U_126,U_129)
| ~ m1_relset_1(U_127,U_129,U_128)
| ~ v1_funct_2(U_127,U_129,U_128)
| ~ v1_funct_1(U_127) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_124,sK8(U_129,U_128,U_127,U_126,U_125))],[f_69_2]) ).
cnf(f_69_4,plain,
( m1_functor0(sK8(U_129,U_128,U_127,U_126,U_125),U_129,U_128,U_127,U_126,U_125)
| ~ m1_pboole(U_125,U_128)
| ~ m1_pboole(U_126,U_129)
| ~ m1_relset_1(U_127,U_129,U_128)
| ~ v1_funct_2(U_127,U_129,U_128)
| ~ v1_funct_1(U_127) ),
inference(clausify,[status(thm)],[f_69_3]) ).
fof(f_70_1,plain,
! [A] :
? [B] : m1_pboole(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_pboole]) ).
fof(f_70_2,plain,
! [U_131] :
? [U_130] : m1_pboole(U_130,U_131),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
! [U_131] : m1_pboole(sK9(U_131),U_131),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_130,sK9(U_131))],[f_70_2]) ).
cnf(f_70_4,plain,
m1_pboole(sK9(U_131),U_131),
inference(clausify,[status(thm)],[f_70_3]) ).
fof(f_71_1,plain,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_relset_1]) ).
fof(f_71_2,plain,
! [U_134,U_133] :
? [U_132] : m1_relset_1(U_132,U_134,U_133),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
! [U_134,U_133] : m1_relset_1(sK10(U_134,U_133),U_134,U_133),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_132,sK10(U_134,U_133))],[f_71_2]) ).
cnf(f_71_4,plain,
m1_relset_1(sK10(U_134,U_133),U_134,U_133),
inference(clausify,[status(thm)],[f_71_3]) ).
fof(f_72_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_72_2,plain,
! [U_136] :
? [U_135] : m1_subset_1(U_135,U_136),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
! [U_136] : m1_subset_1(sK11(U_136),U_136),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_135,sK11(U_136))],[f_72_2]) ).
cnf(f_72_4,plain,
m1_subset_1(sK11(U_136),U_136),
inference(clausify,[status(thm)],[f_72_3]) ).
fof(f_73_1,plain,
! [A,B] :
( ? [C] : m2_functor0(C,A,B)
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| v3_struct_0(B)
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m2_functor0]) ).
fof(f_73_2,plain,
! [U_139,U_138] :
( ? [U_137] : m2_functor0(U_137,U_139,U_138)
| ~ l2_altcat_1(U_138)
| ~ v12_altcat_1(U_138)
| v3_struct_0(U_138)
| ~ l2_altcat_1(U_139)
| ~ v12_altcat_1(U_139)
| ~ v2_altcat_1(U_139)
| v3_struct_0(U_139) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
! [U_139,U_138] :
( m2_functor0(sK12(U_139,U_138),U_139,U_138)
| ~ l2_altcat_1(U_138)
| ~ v12_altcat_1(U_138)
| v3_struct_0(U_138)
| ~ l2_altcat_1(U_139)
| ~ v12_altcat_1(U_139)
| ~ v2_altcat_1(U_139)
| v3_struct_0(U_139) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_137,sK12(U_139,U_138))],[f_73_2]) ).
cnf(f_73_4,plain,
( m2_functor0(sK12(U_139,U_138),U_139,U_138)
| ~ l2_altcat_1(U_138)
| ~ v12_altcat_1(U_138)
| v3_struct_0(U_138)
| ~ l2_altcat_1(U_139)
| ~ v12_altcat_1(U_139)
| ~ v2_altcat_1(U_139)
| v3_struct_0(U_139) ),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_1,plain,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m2_relset_1]) ).
fof(f_74_2,plain,
! [U_142,U_141] :
? [U_140] : m2_relset_1(U_140,U_142,U_141),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_142,U_141] : m2_relset_1(sK13(U_142,U_141),U_142,U_141),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_140,sK13(U_142,U_141))],[f_74_2]) ).
cnf(f_74_4,plain,
m2_relset_1(sK13(U_142,U_141),U_142,U_141),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [A,B,C] :
( ? [D] : m3_pboole(D,A,B,C)
| ~ m1_pboole(C,A)
| ~ m1_pboole(B,A) ),
inference(fof_nnf,[status(thm)],[existence_m3_pboole]) ).
fof(f_75_2,plain,
! [U_146,U_145,U_144] :
( ? [U_143] : m3_pboole(U_143,U_146,U_145,U_144)
| ~ m1_pboole(U_144,U_146)
| ~ m1_pboole(U_145,U_146) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_146,U_145,U_144] :
( m3_pboole(sK14(U_146,U_145,U_144),U_146,U_145,U_144)
| ~ m1_pboole(U_144,U_146)
| ~ m1_pboole(U_145,U_146) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_143,sK14(U_146,U_145,U_144))],[f_75_2]) ).
cnf(f_75_4,plain,
( m3_pboole(sK14(U_146,U_145,U_144),U_146,U_145,U_144)
| ~ m1_pboole(U_144,U_146)
| ~ m1_pboole(U_145,U_146) ),
inference(clausify,[status(thm)],[f_75_3]) ).
fof(f_76_1,plain,
! [A,B] :
( v1_finset_1(k2_zfmisc_1(A,B))
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc14_finset_1]) ).
fof(f_76_2,plain,
! [U_148,U_147] :
( v1_finset_1(k2_zfmisc_1(U_148,U_147))
| ~ v1_finset_1(U_147)
| ~ v1_finset_1(U_148) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
cnf(f_76_3,plain,
( v1_finset_1(k2_zfmisc_1(U_148,U_147))
| ~ v1_finset_1(U_147)
| ~ v1_finset_1(U_148) ),
inference(clausify,[status(thm)],[f_76_2]) ).
fof(f_77_1,plain,
! [A,B,C] :
( v1_finset_1(k3_zfmisc_1(A,B,C))
| ~ v1_finset_1(C)
| ~ v1_finset_1(B)
| ~ v1_finset_1(A) ),
inference(fof_nnf,[status(thm)],[fc15_finset_1]) ).
fof(f_77_2,plain,
! [U_151,U_150,U_149] :
( v1_finset_1(k3_zfmisc_1(U_151,U_150,U_149))
| ~ v1_finset_1(U_149)
| ~ v1_finset_1(U_150)
| ~ v1_finset_1(U_151) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
cnf(f_77_3,plain,
( v1_finset_1(k3_zfmisc_1(U_151,U_150,U_149))
| ~ v1_finset_1(U_149)
| ~ v1_finset_1(U_150)
| ~ v1_finset_1(U_151) ),
inference(clausify,[status(thm)],[f_77_2]) ).
fof(f_78_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_78_2,plain,
! [U_152] :
( ~ v1_xboole_0(u1_struct_0(U_152))
| ~ l1_struct_0(U_152)
| v3_struct_0(U_152) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
cnf(f_78_3,plain,
( ~ v1_xboole_0(u1_struct_0(U_152))
| ~ l1_struct_0(U_152)
| v3_struct_0(U_152) ),
inference(clausify,[status(thm)],[f_78_2]) ).
fof(f_79_1,plain,
! [A] :
( ( v3_yellow21(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& v1_yellow21(k4_waybel34(A))
& v4_yellow18(k4_waybel34(A))
& v3_yellow18(k4_waybel34(A))
& v2_yellow18(k4_waybel34(A))
& v1_altcat_2(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v9_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& ~ v3_struct_0(k4_waybel34(A)) )
| v2_setfam_1(A) ),
inference(fof_nnf,[status(thm)],[fc5_waybel34]) ).
fof(f_79_2,plain,
! [U_153] :
( ( v3_yellow21(k4_waybel34(U_153))
& v2_yellow21(k4_waybel34(U_153))
& v1_yellow21(k4_waybel34(U_153))
& v4_yellow18(k4_waybel34(U_153))
& v3_yellow18(k4_waybel34(U_153))
& v2_yellow18(k4_waybel34(U_153))
& v1_altcat_2(k4_waybel34(U_153))
& v12_altcat_1(k4_waybel34(U_153))
& v11_altcat_1(k4_waybel34(U_153))
& v9_altcat_1(k4_waybel34(U_153))
& v6_altcat_1(k4_waybel34(U_153))
& v2_altcat_1(k4_waybel34(U_153))
& ~ v3_struct_0(k4_waybel34(U_153)) )
| v2_setfam_1(U_153) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
cnf(f_79_3,plain,
( ~ v3_struct_0(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_4,plain,
( v2_altcat_1(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_5,plain,
( v6_altcat_1(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_6,plain,
( v9_altcat_1(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_7,plain,
( v11_altcat_1(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_8,plain,
( v12_altcat_1(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_9,plain,
( v1_altcat_2(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_10,plain,
( v2_yellow18(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_11,plain,
( v3_yellow18(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_12,plain,
( v4_yellow18(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_13,plain,
( v1_yellow21(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_14,plain,
( v2_yellow21(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
cnf(f_79_15,plain,
( v3_yellow21(k4_waybel34(U_153))
| v2_setfam_1(U_153) ),
inference(clausify,[status(thm)],[f_79_2]) ).
fof(f_80_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_80_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_80_1]) ).
cnf(f_80_3,plain,
v1_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_80_1]) ).
cnf(f_80_4,plain,
v2_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_80_1]) ).
cnf(f_80_5,plain,
v3_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_80_1]) ).
cnf(f_80_6,plain,
v4_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_80_1]) ).
cnf(f_80_7,plain,
v5_membered(k1_xboole_0),
inference(clausify,[status(thm)],[f_80_1]) ).
fof(f_81_1,plain,
! [A] :
( ( v3_yellow21(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v1_yellow21(k5_waybel34(A))
& v4_yellow18(k5_waybel34(A))
& v3_yellow18(k5_waybel34(A))
& v2_yellow18(k5_waybel34(A))
& v1_altcat_2(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v9_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& ~ v3_struct_0(k5_waybel34(A)) )
| v2_setfam_1(A) ),
inference(fof_nnf,[status(thm)],[fc6_waybel34]) ).
fof(f_81_2,plain,
! [U_154] :
( ( v3_yellow21(k5_waybel34(U_154))
& v2_yellow21(k5_waybel34(U_154))
& v1_yellow21(k5_waybel34(U_154))
& v4_yellow18(k5_waybel34(U_154))
& v3_yellow18(k5_waybel34(U_154))
& v2_yellow18(k5_waybel34(U_154))
& v1_altcat_2(k5_waybel34(U_154))
& v12_altcat_1(k5_waybel34(U_154))
& v11_altcat_1(k5_waybel34(U_154))
& v9_altcat_1(k5_waybel34(U_154))
& v6_altcat_1(k5_waybel34(U_154))
& v2_altcat_1(k5_waybel34(U_154))
& ~ v3_struct_0(k5_waybel34(U_154)) )
| v2_setfam_1(U_154) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
cnf(f_81_3,plain,
( ~ v3_struct_0(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_4,plain,
( v2_altcat_1(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_5,plain,
( v6_altcat_1(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_6,plain,
( v9_altcat_1(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_7,plain,
( v11_altcat_1(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_8,plain,
( v12_altcat_1(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_9,plain,
( v1_altcat_2(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_10,plain,
( v2_yellow18(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_11,plain,
( v3_yellow18(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_12,plain,
( v4_yellow18(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_13,plain,
( v1_yellow21(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_14,plain,
( v2_yellow21(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
cnf(f_81_15,plain,
( v3_yellow21(k5_waybel34(U_154))
| v2_setfam_1(U_154) ),
inference(clausify,[status(thm)],[f_81_2]) ).
fof(f_82_1,plain,
! [A,B,C] :
( ( v1_funcop_1(u2_functor0(A,B,C))
& v1_funct_1(u2_functor0(A,B,C))
& v1_relat_1(u2_functor0(A,B,C)) )
| ~ l2_functor0(C,A,B)
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[fc7_functor0]) ).
fof(f_82_2,plain,
! [U_157,U_156,U_155] :
( ( v1_funcop_1(u2_functor0(U_157,U_156,U_155))
& v1_funct_1(u2_functor0(U_157,U_156,U_155))
& v1_relat_1(u2_functor0(U_157,U_156,U_155)) )
| ~ l2_functor0(U_155,U_157,U_156)
| ~ l1_altcat_1(U_156)
| ~ l1_altcat_1(U_157) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
cnf(f_82_3,plain,
( v1_relat_1(u2_functor0(U_157,U_156,U_155))
| ~ l2_functor0(U_155,U_157,U_156)
| ~ l1_altcat_1(U_156)
| ~ l1_altcat_1(U_157) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_4,plain,
( v1_funct_1(u2_functor0(U_157,U_156,U_155))
| ~ l2_functor0(U_155,U_157,U_156)
| ~ l1_altcat_1(U_156)
| ~ l1_altcat_1(U_157) ),
inference(clausify,[status(thm)],[f_82_2]) ).
cnf(f_82_5,plain,
( v1_funcop_1(u2_functor0(U_157,U_156,U_155))
| ~ l2_functor0(U_155,U_157,U_156)
| ~ l1_altcat_1(U_156)
| ~ l1_altcat_1(U_157) ),
inference(clausify,[status(thm)],[f_82_2]) ).
fof(f_83_1,plain,
! [A] :
( ( v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) )
| v2_setfam_1(A) ),
inference(fof_nnf,[status(thm)],[fc7_waybel34]) ).
fof(f_83_2,plain,
! [U_158] :
( ( v21_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
& v16_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
& v14_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
& v12_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
& v11_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
& v9_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
& v8_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
& v6_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158)) )
| v2_setfam_1(U_158) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
cnf(f_83_3,plain,
( v6_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
| v2_setfam_1(U_158) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_4,plain,
( v8_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
| v2_setfam_1(U_158) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_5,plain,
( v9_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
| v2_setfam_1(U_158) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_6,plain,
( v11_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
| v2_setfam_1(U_158) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_7,plain,
( v12_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
| v2_setfam_1(U_158) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_8,plain,
( v14_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
| v2_setfam_1(U_158) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_9,plain,
( v16_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
| v2_setfam_1(U_158) ),
inference(clausify,[status(thm)],[f_83_2]) ).
cnf(f_83_10,plain,
( v21_functor0(k6_waybel34(U_158),k4_waybel34(U_158),k5_waybel34(U_158))
| v2_setfam_1(U_158) ),
inference(clausify,[status(thm)],[f_83_2]) ).
fof(f_84_1,plain,
! [A,B,C] :
( ! [D,E,F] :
( ( C = F
& B = E
& A = D )
| g2_altcat_1(A,B,C) != g2_altcat_1(D,E,F) )
| ~ m3_pboole(C,k3_zfmisc_1(A,A,A),k3_altcat_1(A,B,B),k2_altcat_1(A,B))
| ~ m1_pboole(B,k2_zfmisc_1(A,A)) ),
inference(fof_nnf,[status(thm)],[free_g2_altcat_1]) ).
fof(f_84_2,plain,
! [U_164,U_163,U_162] :
( ! [U_161,U_160,U_159] :
( ( U_162 = U_159
& U_163 = U_160
& U_164 = U_161 )
| g2_altcat_1(U_164,U_163,U_162) != g2_altcat_1(U_161,U_160,U_159) )
| ~ m3_pboole(U_162,k3_zfmisc_1(U_164,U_164,U_164),k3_altcat_1(U_164,U_163,U_163),k2_altcat_1(U_164,U_163))
| ~ m1_pboole(U_163,k2_zfmisc_1(U_164,U_164)) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
cnf(f_84_3,plain,
( U_164 = U_161
| g2_altcat_1(U_164,U_163,U_162) != g2_altcat_1(U_161,U_160,U_159)
| ~ m3_pboole(U_162,k3_zfmisc_1(U_164,U_164,U_164),k3_altcat_1(U_164,U_163,U_163),k2_altcat_1(U_164,U_163))
| ~ m1_pboole(U_163,k2_zfmisc_1(U_164,U_164)) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_4,plain,
( U_163 = U_160
| g2_altcat_1(U_164,U_163,U_162) != g2_altcat_1(U_161,U_160,U_159)
| ~ m3_pboole(U_162,k3_zfmisc_1(U_164,U_164,U_164),k3_altcat_1(U_164,U_163,U_163),k2_altcat_1(U_164,U_163))
| ~ m1_pboole(U_163,k2_zfmisc_1(U_164,U_164)) ),
inference(clausify,[status(thm)],[f_84_2]) ).
cnf(f_84_5,plain,
( U_162 = U_159
| g2_altcat_1(U_164,U_163,U_162) != g2_altcat_1(U_161,U_160,U_159)
| ~ m3_pboole(U_162,k3_zfmisc_1(U_164,U_164,U_164),k3_altcat_1(U_164,U_163,U_163),k2_altcat_1(U_164,U_163))
| ~ m1_pboole(U_163,k2_zfmisc_1(U_164,U_164)) ),
inference(clausify,[status(thm)],[f_84_2]) ).
fof(f_85_1,plain,
! [A,B,C,D] :
( ! [E,F,G,H] :
( ( D = H
& C = G
& B = F
& A = E )
| g2_functor0(A,B,C,D) != g2_functor0(E,F,G,H) )
| ~ m1_functor0(D,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)),C,u1_altcat_1(A),u1_altcat_1(B))
| ~ m1_relset_1(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
| ~ v1_funct_2(C,k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(B)))
| ~ v1_funct_1(C)
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[free_g2_functor0]) ).
fof(f_85_2,plain,
! [U_172,U_171,U_170,U_169] :
( ! [U_168,U_167,U_166,U_165] :
( ( U_169 = U_165
& U_170 = U_166
& U_171 = U_167
& U_172 = U_168 )
| g2_functor0(U_172,U_171,U_170,U_169) != g2_functor0(U_168,U_167,U_166,U_165) )
| ~ m1_functor0(U_169,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)),U_170,u1_altcat_1(U_172),u1_altcat_1(U_171))
| ~ m1_relset_1(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_2(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_1(U_170)
| ~ l1_altcat_1(U_171)
| ~ l1_altcat_1(U_172) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
cnf(f_85_3,plain,
( U_172 = U_168
| g2_functor0(U_172,U_171,U_170,U_169) != g2_functor0(U_168,U_167,U_166,U_165)
| ~ m1_functor0(U_169,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)),U_170,u1_altcat_1(U_172),u1_altcat_1(U_171))
| ~ m1_relset_1(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_2(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_1(U_170)
| ~ l1_altcat_1(U_171)
| ~ l1_altcat_1(U_172) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_4,plain,
( U_171 = U_167
| g2_functor0(U_172,U_171,U_170,U_169) != g2_functor0(U_168,U_167,U_166,U_165)
| ~ m1_functor0(U_169,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)),U_170,u1_altcat_1(U_172),u1_altcat_1(U_171))
| ~ m1_relset_1(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_2(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_1(U_170)
| ~ l1_altcat_1(U_171)
| ~ l1_altcat_1(U_172) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_5,plain,
( U_170 = U_166
| g2_functor0(U_172,U_171,U_170,U_169) != g2_functor0(U_168,U_167,U_166,U_165)
| ~ m1_functor0(U_169,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)),U_170,u1_altcat_1(U_172),u1_altcat_1(U_171))
| ~ m1_relset_1(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_2(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_1(U_170)
| ~ l1_altcat_1(U_171)
| ~ l1_altcat_1(U_172) ),
inference(clausify,[status(thm)],[f_85_2]) ).
cnf(f_85_6,plain,
( U_169 = U_165
| g2_functor0(U_172,U_171,U_170,U_169) != g2_functor0(U_168,U_167,U_166,U_165)
| ~ m1_functor0(U_169,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)),U_170,u1_altcat_1(U_172),u1_altcat_1(U_171))
| ~ m1_relset_1(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_2(U_170,k2_zfmisc_1(u1_struct_0(U_172),u1_struct_0(U_172)),k2_zfmisc_1(u1_struct_0(U_171),u1_struct_0(U_171)))
| ~ v1_funct_1(U_170)
| ~ l1_altcat_1(U_171)
| ~ l1_altcat_1(U_172) ),
inference(clausify,[status(thm)],[f_85_2]) ).
fof(f_86_1,plain,
? [A] :
( v1_finset_1(A)
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_finset_1]) ).
fof(f_86_2,plain,
? [U_173] :
( v1_finset_1(U_173)
& ~ v1_xboole_0(U_173) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
( v1_finset_1(sK15)
& ~ v1_xboole_0(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_173,sK15)],[f_86_2]) ).
cnf(f_86_4,plain,
~ v1_xboole_0(sK15),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_5,plain,
v1_finset_1(sK15),
inference(clausify,[status(thm)],[f_86_3]) ).
fof(f_87_1,plain,
? [A] :
( v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_funct_1]) ).
fof(f_87_2,plain,
? [U_174] :
( v1_funct_1(U_174)
& v1_relat_1(U_174) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
( v1_funct_1(sK16)
& v1_relat_1(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_174,sK16)],[f_87_2]) ).
cnf(f_87_4,plain,
v1_relat_1(sK16),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_5,plain,
v1_funct_1(sK16),
inference(clausify,[status(thm)],[f_87_3]) ).
fof(f_88_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_88_2,plain,
? [U_175] :
( v5_membered(U_175)
& v4_membered(U_175)
& v3_membered(U_175)
& v2_membered(U_175)
& v1_membered(U_175)
& ~ v1_xboole_0(U_175) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
( v5_membered(sK17)
& v4_membered(sK17)
& v3_membered(sK17)
& v2_membered(sK17)
& v1_membered(sK17)
& ~ v1_xboole_0(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_175,sK17)],[f_88_2]) ).
cnf(f_88_4,plain,
~ v1_xboole_0(sK17),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_5,plain,
v1_membered(sK17),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_6,plain,
v2_membered(sK17),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_7,plain,
v3_membered(sK17),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_8,plain,
v4_membered(sK17),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_9,plain,
v5_membered(sK17),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_1,plain,
? [A] :
( v3_yellow21(A)
& v2_yellow21(A)
& v1_yellow21(A)
& v4_yellow18(A)
& v3_yellow18(A)
& v2_yellow18(A)
& v1_altcat_2(A)
& v12_altcat_1(A)
& v11_altcat_1(A)
& v9_altcat_1(A)
& v6_altcat_1(A)
& v2_altcat_1(A)
& ~ v3_struct_0(A)
& l2_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[rc1_yellow21]) ).
fof(f_89_2,plain,
? [U_176] :
( v3_yellow21(U_176)
& v2_yellow21(U_176)
& v1_yellow21(U_176)
& v4_yellow18(U_176)
& v3_yellow18(U_176)
& v2_yellow18(U_176)
& v1_altcat_2(U_176)
& v12_altcat_1(U_176)
& v11_altcat_1(U_176)
& v9_altcat_1(U_176)
& v6_altcat_1(U_176)
& v2_altcat_1(U_176)
& ~ v3_struct_0(U_176)
& l2_altcat_1(U_176) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
( v3_yellow21(sK18)
& v2_yellow21(sK18)
& v1_yellow21(sK18)
& v4_yellow18(sK18)
& v3_yellow18(sK18)
& v2_yellow18(sK18)
& v1_altcat_2(sK18)
& v12_altcat_1(sK18)
& v11_altcat_1(sK18)
& v9_altcat_1(sK18)
& v6_altcat_1(sK18)
& v2_altcat_1(sK18)
& ~ v3_struct_0(sK18)
& l2_altcat_1(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_176,sK18)],[f_89_2]) ).
cnf(f_89_4,plain,
l2_altcat_1(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_5,plain,
~ v3_struct_0(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_6,plain,
v2_altcat_1(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_7,plain,
v6_altcat_1(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_8,plain,
v9_altcat_1(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_9,plain,
v11_altcat_1(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_10,plain,
v12_altcat_1(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_11,plain,
v1_altcat_2(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_12,plain,
v2_yellow18(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_13,plain,
v3_yellow18(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_14,plain,
v4_yellow18(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_15,plain,
v1_yellow21(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_16,plain,
v2_yellow21(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
cnf(f_89_17,plain,
v3_yellow21(sK18),
inference(clausify,[status(thm)],[f_89_3]) ).
fof(f_90_1,plain,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc2_funct_1]) ).
fof(f_90_2,plain,
? [U_177] :
( v1_funct_1(U_177)
& v1_xboole_0(U_177)
& v1_relat_1(U_177) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
( v1_funct_1(sK19)
& v1_xboole_0(sK19)
& v1_relat_1(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_177,sK19)],[f_90_2]) ).
cnf(f_90_4,plain,
v1_relat_1(sK19),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_5,plain,
v1_xboole_0(sK19),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_6,plain,
v1_funct_1(sK19),
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
? [A] : ~ v2_setfam_1(A),
inference(fof_nnf,[status(thm)],[rc2_setfam_1]) ).
fof(f_91_2,plain,
? [U_178] : ~ v2_setfam_1(U_178),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
~ v2_setfam_1(sK20),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_178,sK20)],[f_91_2]) ).
cnf(f_91_4,plain,
~ v2_setfam_1(sK20),
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_finset_1]) ).
fof(f_92_2,plain,
! [U_180] :
( ? [U_179] :
( v1_finset_1(U_179)
& ~ v1_xboole_0(U_179)
& m1_subset_1(U_179,k1_zfmisc_1(U_180)) )
| v1_xboole_0(U_180) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
! [U_180] :
( ( v1_finset_1(sK21(U_180))
& ~ v1_xboole_0(sK21(U_180))
& m1_subset_1(sK21(U_180),k1_zfmisc_1(U_180)) )
| v1_xboole_0(U_180) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_179,sK21(U_180))],[f_92_2]) ).
cnf(f_92_4,plain,
( m1_subset_1(sK21(U_180),k1_zfmisc_1(U_180))
| v1_xboole_0(U_180) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_5,plain,
( ~ v1_xboole_0(sK21(U_180))
| v1_xboole_0(U_180) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_6,plain,
( v1_finset_1(sK21(U_180))
| v1_xboole_0(U_180) ),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
? [A] :
( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_funct_1]) ).
fof(f_93_2,plain,
? [U_181] :
( v2_funct_1(U_181)
& v1_funct_1(U_181)
& v1_relat_1(U_181) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
( v2_funct_1(sK22)
& v1_funct_1(sK22)
& v1_relat_1(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_181,sK22)],[f_93_2]) ).
cnf(f_93_4,plain,
v1_relat_1(sK22),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_5,plain,
v1_funct_1(sK22),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_6,plain,
v2_funct_1(sK22),
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_1,plain,
! [A,B] :
( ? [C] :
( v9_functor0(C,A,B)
& l2_functor0(C,A,B) )
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_functor0]) ).
fof(f_94_2,plain,
! [U_184,U_183] :
( ? [U_182] :
( v9_functor0(U_182,U_184,U_183)
& l2_functor0(U_182,U_184,U_183) )
| ~ l1_altcat_1(U_183)
| ~ l1_altcat_1(U_184) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
! [U_184,U_183] :
( ( v9_functor0(sK23(U_184,U_183),U_184,U_183)
& l2_functor0(sK23(U_184,U_183),U_184,U_183) )
| ~ l1_altcat_1(U_183)
| ~ l1_altcat_1(U_184) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_182,sK23(U_184,U_183))],[f_94_2]) ).
cnf(f_94_4,plain,
( l2_functor0(sK23(U_184,U_183),U_184,U_183)
| ~ l1_altcat_1(U_183)
| ~ l1_altcat_1(U_184) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_5,plain,
( v9_functor0(sK23(U_184,U_183),U_184,U_183)
| ~ l1_altcat_1(U_183)
| ~ l1_altcat_1(U_184) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,A) )
| v2_setfam_1(A) ),
inference(fof_nnf,[status(thm)],[rc3_setfam_1]) ).
fof(f_95_2,plain,
! [U_186] :
( ? [U_185] :
( ~ v1_xboole_0(U_185)
& m1_subset_1(U_185,U_186) )
| v2_setfam_1(U_186) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
! [U_186] :
( ( ~ v1_xboole_0(sK24(U_186))
& m1_subset_1(sK24(U_186),U_186) )
| v2_setfam_1(U_186) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_185,sK24(U_186))],[f_95_2]) ).
cnf(f_95_4,plain,
( m1_subset_1(sK24(U_186),U_186)
| v2_setfam_1(U_186) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_5,plain,
( ~ v1_xboole_0(sK24(U_186))
| v2_setfam_1(U_186) ),
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_96_2,plain,
? [U_187] :
( ~ v3_struct_0(U_187)
& l1_struct_0(U_187) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
( ~ v3_struct_0(sK25)
& l1_struct_0(sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_187,sK25)],[f_96_2]) ).
cnf(f_96_4,plain,
l1_struct_0(sK25),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_5,plain,
~ v3_struct_0(sK25),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [A] :
( ? [B] :
( v1_finset_1(B)
& ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc4_finset_1]) ).
fof(f_97_2,plain,
! [U_189] :
( ? [U_188] :
( v1_finset_1(U_188)
& ~ v1_xboole_0(U_188)
& m1_subset_1(U_188,k1_zfmisc_1(U_189)) )
| v1_xboole_0(U_189) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
! [U_189] :
( ( v1_finset_1(sK26(U_189))
& ~ v1_xboole_0(sK26(U_189))
& m1_subset_1(sK26(U_189),k1_zfmisc_1(U_189)) )
| v1_xboole_0(U_189) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_188,sK26(U_189))],[f_97_2]) ).
cnf(f_97_4,plain,
( m1_subset_1(sK26(U_189),k1_zfmisc_1(U_189))
| v1_xboole_0(U_189) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_5,plain,
( ~ v1_xboole_0(sK26(U_189))
| v1_xboole_0(U_189) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_6,plain,
( v1_finset_1(sK26(U_189))
| v1_xboole_0(U_189) ),
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_1,plain,
! [A,B] :
( ? [C] :
( v11_functor0(C,A,B)
& l2_functor0(C,A,B) )
| ~ l1_altcat_1(B)
| ~ l1_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[rc5_functor0]) ).
fof(f_98_2,plain,
! [U_192,U_191] :
( ? [U_190] :
( v11_functor0(U_190,U_192,U_191)
& l2_functor0(U_190,U_192,U_191) )
| ~ l1_altcat_1(U_191)
| ~ l1_altcat_1(U_192) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
! [U_192,U_191] :
( ( v11_functor0(sK27(U_192,U_191),U_192,U_191)
& l2_functor0(sK27(U_192,U_191),U_192,U_191) )
| ~ l1_altcat_1(U_191)
| ~ l1_altcat_1(U_192) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_190,sK27(U_192,U_191))],[f_98_2]) ).
cnf(f_98_4,plain,
( l2_functor0(sK27(U_192,U_191),U_192,U_191)
| ~ l1_altcat_1(U_191)
| ~ l1_altcat_1(U_192) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_5,plain,
( v11_functor0(sK27(U_192,U_191),U_192,U_191)
| ~ l1_altcat_1(U_191)
| ~ l1_altcat_1(U_192) ),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_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_99_2,plain,
! [U_194] :
( ? [U_193] :
( ~ v1_xboole_0(U_193)
& m1_subset_1(U_193,k1_zfmisc_1(u1_struct_0(U_194))) )
| ~ l1_struct_0(U_194)
| v3_struct_0(U_194) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
! [U_194] :
( ( ~ v1_xboole_0(sK28(U_194))
& m1_subset_1(sK28(U_194),k1_zfmisc_1(u1_struct_0(U_194))) )
| ~ l1_struct_0(U_194)
| v3_struct_0(U_194) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_193,sK28(U_194))],[f_99_2]) ).
cnf(f_99_4,plain,
( m1_subset_1(sK28(U_194),k1_zfmisc_1(u1_struct_0(U_194)))
| ~ l1_struct_0(U_194)
| v3_struct_0(U_194) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_5,plain,
( ~ v1_xboole_0(sK28(U_194))
| ~ l1_struct_0(U_194)
| v3_struct_0(U_194) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
? [A] :
( v1_altcat_2(A)
& ~ v3_struct_0(A)
& l2_altcat_1(A) ),
inference(fof_nnf,[status(thm)],[rc7_functor0]) ).
fof(f_100_2,plain,
? [U_195] :
( v1_altcat_2(U_195)
& ~ v3_struct_0(U_195)
& l2_altcat_1(U_195) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
( v1_altcat_2(sK29)
& ~ v3_struct_0(sK29)
& l2_altcat_1(sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_195,sK29)],[f_100_2]) ).
cnf(f_100_4,plain,
l2_altcat_1(sK29),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_5,plain,
~ v3_struct_0(sK29),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_6,plain,
v1_altcat_2(sK29),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
! [A,B] :
( ? [C] :
( v8_functor0(C,A,B)
& v6_functor0(C,A,B)
& l2_functor0(C,A,B) )
| ~ l1_altcat_1(B)
| ~ v1_altcat_2(B)
| v3_struct_0(B)
| ~ l1_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc8_functor0]) ).
fof(f_101_2,plain,
! [U_198,U_197] :
( ? [U_196] :
( v8_functor0(U_196,U_198,U_197)
& v6_functor0(U_196,U_198,U_197)
& l2_functor0(U_196,U_198,U_197) )
| ~ l1_altcat_1(U_197)
| ~ v1_altcat_2(U_197)
| v3_struct_0(U_197)
| ~ l1_altcat_1(U_198)
| v3_struct_0(U_198) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
! [U_198,U_197] :
( ( v8_functor0(sK30(U_198,U_197),U_198,U_197)
& v6_functor0(sK30(U_198,U_197),U_198,U_197)
& l2_functor0(sK30(U_198,U_197),U_198,U_197) )
| ~ l1_altcat_1(U_197)
| ~ v1_altcat_2(U_197)
| v3_struct_0(U_197)
| ~ l1_altcat_1(U_198)
| v3_struct_0(U_198) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_196,sK30(U_198,U_197))],[f_101_2]) ).
cnf(f_101_4,plain,
( l2_functor0(sK30(U_198,U_197),U_198,U_197)
| ~ l1_altcat_1(U_197)
| ~ v1_altcat_2(U_197)
| v3_struct_0(U_197)
| ~ l1_altcat_1(U_198)
| v3_struct_0(U_198) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_5,plain,
( v6_functor0(sK30(U_198,U_197),U_198,U_197)
| ~ l1_altcat_1(U_197)
| ~ v1_altcat_2(U_197)
| v3_struct_0(U_197)
| ~ l1_altcat_1(U_198)
| v3_struct_0(U_198) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_6,plain,
( v8_functor0(sK30(U_198,U_197),U_198,U_197)
| ~ l1_altcat_1(U_197)
| ~ v1_altcat_2(U_197)
| v3_struct_0(U_197)
| ~ l1_altcat_1(U_198)
| v3_struct_0(U_198) ),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [A,B] :
( ? [C] :
( v12_functor0(C,A,B)
& v9_functor0(C,A,B)
& v8_functor0(C,A,B)
& v6_functor0(C,A,B)
& l2_functor0(C,A,B) )
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| v3_struct_0(B)
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc9_functor0]) ).
fof(f_102_2,plain,
! [U_201,U_200] :
( ? [U_199] :
( v12_functor0(U_199,U_201,U_200)
& v9_functor0(U_199,U_201,U_200)
& v8_functor0(U_199,U_201,U_200)
& v6_functor0(U_199,U_201,U_200)
& l2_functor0(U_199,U_201,U_200) )
| ~ l2_altcat_1(U_200)
| ~ v12_altcat_1(U_200)
| v3_struct_0(U_200)
| ~ l2_altcat_1(U_201)
| ~ v12_altcat_1(U_201)
| v3_struct_0(U_201) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
! [U_201,U_200] :
( ( v12_functor0(sK31(U_201,U_200),U_201,U_200)
& v9_functor0(sK31(U_201,U_200),U_201,U_200)
& v8_functor0(sK31(U_201,U_200),U_201,U_200)
& v6_functor0(sK31(U_201,U_200),U_201,U_200)
& l2_functor0(sK31(U_201,U_200),U_201,U_200) )
| ~ l2_altcat_1(U_200)
| ~ v12_altcat_1(U_200)
| v3_struct_0(U_200)
| ~ l2_altcat_1(U_201)
| ~ v12_altcat_1(U_201)
| v3_struct_0(U_201) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_199,sK31(U_201,U_200))],[f_102_2]) ).
cnf(f_102_4,plain,
( l2_functor0(sK31(U_201,U_200),U_201,U_200)
| ~ l2_altcat_1(U_200)
| ~ v12_altcat_1(U_200)
| v3_struct_0(U_200)
| ~ l2_altcat_1(U_201)
| ~ v12_altcat_1(U_201)
| v3_struct_0(U_201) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_5,plain,
( v6_functor0(sK31(U_201,U_200),U_201,U_200)
| ~ l2_altcat_1(U_200)
| ~ v12_altcat_1(U_200)
| v3_struct_0(U_200)
| ~ l2_altcat_1(U_201)
| ~ v12_altcat_1(U_201)
| v3_struct_0(U_201) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_6,plain,
( v8_functor0(sK31(U_201,U_200),U_201,U_200)
| ~ l2_altcat_1(U_200)
| ~ v12_altcat_1(U_200)
| v3_struct_0(U_200)
| ~ l2_altcat_1(U_201)
| ~ v12_altcat_1(U_201)
| v3_struct_0(U_201) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_7,plain,
( v9_functor0(sK31(U_201,U_200),U_201,U_200)
| ~ l2_altcat_1(U_200)
| ~ v12_altcat_1(U_200)
| v3_struct_0(U_200)
| ~ l2_altcat_1(U_201)
| ~ v12_altcat_1(U_201)
| v3_struct_0(U_201) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_8,plain,
( v12_functor0(sK31(U_201,U_200),U_201,U_200)
| ~ l2_altcat_1(U_200)
| ~ v12_altcat_1(U_200)
| v3_struct_0(U_200)
| ~ l2_altcat_1(U_201)
| ~ v12_altcat_1(U_201)
| v3_struct_0(U_201) ),
inference(clausify,[status(thm)],[f_102_3]) ).
fof(f_103_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_103_2,plain,
! [U_204,U_203,U_202] :
( ( m2_relset_1(U_202,U_204,U_203)
| ~ m1_relset_1(U_202,U_204,U_203) )
& ( m1_relset_1(U_202,U_204,U_203)
| ~ m2_relset_1(U_202,U_204,U_203) ) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
( ! [U_210,U_208,U_206] :
( m2_relset_1(U_206,U_210,U_208)
| ~ m1_relset_1(U_206,U_210,U_208) )
& ! [U_209,U_207,U_205] :
( m1_relset_1(U_205,U_209,U_207)
| ~ m2_relset_1(U_205,U_209,U_207) ) ),
inference(miniscope,[status(thm)],[f_103_2]) ).
cnf(f_103_4,plain,
( m1_relset_1(U_205,U_209,U_207)
| ~ m2_relset_1(U_205,U_209,U_207) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_5,plain,
( m2_relset_1(U_206,U_210,U_208)
| ~ m1_relset_1(U_206,U_210,U_208) ),
inference(clausify,[status(thm)],[f_103_3]) ).
fof(f_104_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_104_2,plain,
! [U_212,U_211] : r1_tarski(U_212,U_212),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
! [U_212] : r1_tarski(U_212,U_212),
inference(miniscope,[status(thm)],[f_104_2]) ).
cnf(f_104_4,plain,
r1_tarski(U_212,U_212),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [A,B] :
( r2_functor0(B,A)
| ~ r2_functor0(A,B)
| ~ l2_altcat_1(B)
| ~ v12_altcat_1(B)
| ~ v2_altcat_1(B)
| v3_struct_0(B)
| ~ l2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v2_altcat_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[symmetry_r2_functor0]) ).
fof(f_105_2,plain,
! [U_214,U_213] :
( r2_functor0(U_213,U_214)
| ~ r2_functor0(U_214,U_213)
| ~ l2_altcat_1(U_213)
| ~ v12_altcat_1(U_213)
| ~ v2_altcat_1(U_213)
| v3_struct_0(U_213)
| ~ l2_altcat_1(U_214)
| ~ v12_altcat_1(U_214)
| ~ v2_altcat_1(U_214)
| v3_struct_0(U_214) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
cnf(f_105_3,plain,
( r2_functor0(U_213,U_214)
| ~ r2_functor0(U_214,U_213)
| ~ l2_altcat_1(U_213)
| ~ v12_altcat_1(U_213)
| ~ v2_altcat_1(U_213)
| v3_struct_0(U_213)
| ~ l2_altcat_1(U_214)
| ~ v12_altcat_1(U_214)
| ~ v2_altcat_1(U_214)
| v3_struct_0(U_214) ),
inference(clausify,[status(thm)],[f_105_2]) ).
fof(f_106_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_106_2,plain,
! [U_216,U_215] :
( m1_subset_1(U_216,U_215)
| ~ r2_hidden(U_216,U_215) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
cnf(f_106_3,plain,
( m1_subset_1(U_216,U_215)
| ~ r2_hidden(U_216,U_215) ),
inference(clausify,[status(thm)],[f_106_2]) ).
fof(f_107_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_107_2,plain,
! [U_218,U_217] :
( r2_hidden(U_218,U_217)
| v1_xboole_0(U_217)
| ~ m1_subset_1(U_218,U_217) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
cnf(f_107_3,plain,
( r2_hidden(U_218,U_217)
| v1_xboole_0(U_217)
| ~ m1_subset_1(U_218,U_217) ),
inference(clausify,[status(thm)],[f_107_2]) ).
fof(f_108_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_108_2,plain,
! [U_220,U_219] :
( ( m1_subset_1(U_220,k1_zfmisc_1(U_219))
| ~ r1_tarski(U_220,U_219) )
& ( r1_tarski(U_220,U_219)
| ~ m1_subset_1(U_220,k1_zfmisc_1(U_219)) ) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
( ! [U_224,U_222] :
( m1_subset_1(U_224,k1_zfmisc_1(U_222))
| ~ r1_tarski(U_224,U_222) )
& ! [U_223,U_221] :
( r1_tarski(U_223,U_221)
| ~ m1_subset_1(U_223,k1_zfmisc_1(U_221)) ) ),
inference(miniscope,[status(thm)],[f_108_2]) ).
cnf(f_108_4,plain,
( r1_tarski(U_223,U_221)
| ~ m1_subset_1(U_223,k1_zfmisc_1(U_221)) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_5,plain,
( m1_subset_1(U_224,k1_zfmisc_1(U_222))
| ~ r1_tarski(U_224,U_222) ),
inference(clausify,[status(thm)],[f_108_3]) ).
fof(f_109_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_109_2,plain,
! [U_227,U_226,U_225] :
( m1_subset_1(U_227,U_225)
| ~ m1_subset_1(U_226,k1_zfmisc_1(U_225))
| ~ r2_hidden(U_227,U_226) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
cnf(f_109_3,plain,
( m1_subset_1(U_227,U_225)
| ~ m1_subset_1(U_226,k1_zfmisc_1(U_225))
| ~ r2_hidden(U_227,U_226) ),
inference(clausify,[status(thm)],[f_109_2]) ).
fof(f_110_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_110_2,plain,
! [U_230,U_229,U_228] :
( ~ v1_xboole_0(U_228)
| ~ m1_subset_1(U_229,k1_zfmisc_1(U_228))
| ~ r2_hidden(U_230,U_229) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
! [U_230,U_229] :
( ! [U_228] :
( ~ v1_xboole_0(U_228)
| ~ m1_subset_1(U_229,k1_zfmisc_1(U_228)) )
| ~ r2_hidden(U_230,U_229) ),
inference(miniscope,[status(thm)],[f_110_2]) ).
cnf(f_110_4,plain,
( ~ v1_xboole_0(U_228)
| ~ m1_subset_1(U_229,k1_zfmisc_1(U_228))
| ~ r2_hidden(U_230,U_229) ),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_111_2,plain,
! [U_231] :
( U_231 = k1_xboole_0
| ~ v1_xboole_0(U_231) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
cnf(f_111_3,plain,
( U_231 = k1_xboole_0
| ~ v1_xboole_0(U_231) ),
inference(clausify,[status(thm)],[f_111_2]) ).
fof(f_112_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_112_2,plain,
! [U_233,U_232] :
( ~ v1_xboole_0(U_232)
| ~ r2_hidden(U_233,U_232) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
cnf(f_112_3,plain,
( ~ v1_xboole_0(U_232)
| ~ r2_hidden(U_233,U_232) ),
inference(clausify,[status(thm)],[f_112_2]) ).
fof(f_113_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_113_2,plain,
! [U_235,U_234] :
( ~ v1_xboole_0(U_234)
| U_235 = U_234
| ~ v1_xboole_0(U_235) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
! [U_235] :
( ! [U_234] :
( ~ v1_xboole_0(U_234)
| U_235 = U_234 )
| ~ v1_xboole_0(U_235) ),
inference(miniscope,[status(thm)],[f_113_2]) ).
cnf(f_113_4,plain,
( ~ v1_xboole_0(U_234)
| U_235 = U_234
| ~ v1_xboole_0(U_235) ),
inference(clausify,[status(thm)],[f_113_3]) ).
cnf(f_21_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_21_3]) ).
cnf(f_21_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_21_4]) ).
cnf(f_21_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_21_5]) ).
cnf(f_21_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_21_6]) ).
cnf(f_24_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_24_3]) ).
cnf(f_24_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_24_4]) ).
cnf(f_25_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_25_3]) ).
cnf(f_28_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_3]) ).
cnf(f_28_4_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_4]) ).
cnf(f_28_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_6]) ).
cnf(f_28_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_7]) ).
cnf(f_38_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_38_2]) ).
cnf(f_39_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_39_2]) ).
cnf(f_41_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_41_2]) ).
cnf(f_43_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_43_2]) ).
cnf(f_48_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_48_2]) ).
cnf(f_49_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_49_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_61_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_61_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,
( k4_waybel34(Eq_x_0) = k4_waybel34(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( k5_waybel34(Eq_x_0) = k5_waybel34(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,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_7,axiom,
( u1_altcat_1(Eq_x_0) = u1_altcat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( u2_altcat_1(Eq_x_0) = u2_altcat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( g2_altcat_1(Eq_x_0,Eq_x_1,Eq_x_2) = g2_altcat_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( u1_functor0(Eq_x_0,Eq_x_1,Eq_x_2) = u1_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_11,axiom,
( u2_functor0(Eq_x_0,Eq_x_1,Eq_x_2) = u2_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( g2_functor0(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3) = g2_functor0(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_13,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_14,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_15,axiom,
( k3_zfmisc_1(Eq_x_0,Eq_x_1,Eq_x_2) = k3_zfmisc_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_16,axiom,
( k3_altcat_1(Eq_x_0,Eq_x_1,Eq_x_2) = k3_altcat_1(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_17,axiom,
( k2_altcat_1(Eq_x_0,Eq_x_1) = k2_altcat_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_18,axiom,
( k6_waybel34(Eq_x_0) = k6_waybel34(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( sK2(Eq_x_0,Eq_x_1) = sK2(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,axiom,
( sK4(Eq_x_0,Eq_x_1) = sK4(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_21,axiom,
( sK7(Eq_x_0,Eq_x_1) = sK7(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,axiom,
( sK8(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4) = sK8(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| Eq_x_4 != Eq_y_4
| 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_23,axiom,
( sK9(Eq_x_0) = sK9(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,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_25,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( sK12(Eq_x_0,Eq_x_1) = sK12(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( sK13(Eq_x_0,Eq_x_1) = sK13(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( sK14(Eq_x_0,Eq_x_1,Eq_x_2) = sK14(Eq_y_0,Eq_y_1,Eq_y_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( sK21(Eq_x_0) = sK21(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( sK23(Eq_x_0,Eq_x_1) = sK23(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( sK24(Eq_x_0) = sK24(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( sK26(Eq_x_0) = sK26(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_33,axiom,
( sK27(Eq_x_0,Eq_x_1) = sK27(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_34,axiom,
( sK28(Eq_x_0) = sK28(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_35,axiom,
( sK30(Eq_x_0,Eq_x_1) = sK30(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_36,axiom,
( sK31(Eq_x_0,Eq_x_1) = sK31(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_37,axiom,
( v2_setfam_1(Eq_y_0)
| ~ v2_setfam_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,axiom,
( r2_functor0(Eq_y_0,Eq_y_1)
| ~ r2_functor0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_39,axiom,
( l2_altcat_1(Eq_y_0)
| ~ l2_altcat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_40,axiom,
( v6_altcat_1(Eq_y_0)
| ~ v6_altcat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_41,axiom,
( l1_altcat_1(Eq_y_0)
| ~ l1_altcat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_42,axiom,
( l2_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ l2_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( v9_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v9_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( 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_45,axiom,
( v1_membered(Eq_y_0)
| ~ v1_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,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_47,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_48,axiom,
( v2_membered(Eq_y_0)
| ~ v2_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_49,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_50,axiom,
( v3_membered(Eq_y_0)
| ~ v3_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,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_52,axiom,
( v4_membered(Eq_y_0)
| ~ v4_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,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_54,axiom,
( v5_membered(Eq_y_0)
| ~ v5_membered(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_55,axiom,
( v4_ordinal2(Eq_y_0)
| ~ v4_ordinal2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_56,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_57,axiom,
( v1_finset_1(Eq_y_0)
| ~ v1_finset_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_58,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_59,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_60,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_61,axiom,
( m1_pboole(Eq_y_0,Eq_y_1)
| ~ m1_pboole(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_62,axiom,
( m1_functor0(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5)
| ~ m1_functor0(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5)
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_63,axiom,
( v1_funcop_1(Eq_y_0)
| ~ v1_funcop_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_64,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_65,axiom,
( v2_altcat_1(Eq_y_0)
| ~ v2_altcat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_66,axiom,
( v12_altcat_1(Eq_y_0)
| ~ v12_altcat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_67,axiom,
( m2_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m2_functor0(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,
( v8_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v8_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_69,axiom,
( v12_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v12_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_70,axiom,
( v1_relat_1(Eq_y_0)
| ~ v1_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_71,axiom,
( v11_altcat_1(Eq_y_0)
| ~ v11_altcat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_72,axiom,
( v3_yellow21(Eq_y_0)
| ~ v3_yellow21(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_73,axiom,
( v1_altcat_2(Eq_y_0)
| ~ v1_altcat_2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_74,axiom,
( v2_yellow21(Eq_y_0)
| ~ v2_yellow21(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_75,axiom,
( v2_funct_1(Eq_y_0)
| ~ v2_funct_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_76,axiom,
( v9_altcat_1(Eq_y_0)
| ~ v9_altcat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_77,axiom,
( v2_yellow18(Eq_y_0)
| ~ v2_yellow18(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_78,axiom,
( v3_yellow18(Eq_y_0)
| ~ v3_yellow18(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_79,axiom,
( v4_yellow18(Eq_y_0)
| ~ v4_yellow18(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_80,axiom,
( v1_yellow21(Eq_y_0)
| ~ v1_yellow21(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_81,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_82,axiom,
( l1_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ l1_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_83,axiom,
( v11_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v11_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_84,axiom,
( v6_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v6_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_85,axiom,
( v16_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v16_functor0(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_86,axiom,
( v14_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v14_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_87,axiom,
( v21_functor0(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v21_functor0(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_88,axiom,
( m3_pboole(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ m3_pboole(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_89,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_90,axiom,
( r1_tarski(Eq_y_0,Eq_y_1)
| ~ r1_tarski(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT362+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
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 13:46:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.90/1.14 % SZS status Theorem for theBenchmark
% 0.90/1.14 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------