%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT346+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 : n010.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 08:48:18 AM UTC 2026
% Result : Theorem 0.96s 1.29s
% Output : Proof 1.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(t22_conlat_2,conjecture,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(A)),k1_lattice2(k11_conlat_1(A))) ),
file('theBenchmark.p',t22_conlat_2) ).
fof(abstractness_v3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
file('theBenchmark.p',abstractness_v3_lattices) ).
fof(abstractness_v4_conlat_1,axiom,
! [A] :
( l2_conlat_1(A)
=> ( v4_conlat_1(A)
=> A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)) ) ),
file('theBenchmark.p',abstractness_v4_conlat_1) ).
fof(antisymmetry_r2_hidden,axiom,
! [A,B] :
( r2_hidden(A,B)
=> ~ r2_hidden(B,A) ),
file('theBenchmark.p',antisymmetry_r2_hidden) ).
fof(cc1_funct_2,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( ( v1_partfun1(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_funct_1(C) ) ) ),
file('theBenchmark.p',cc1_funct_2) ).
fof(cc1_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc1_lattices) ).
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(cc2_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
=> ( v10_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc2_lattices) ).
fof(cc3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) )
=> ( v15_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc3_lattices) ).
fof(cc4_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v15_lattices(A)
& ~ v3_struct_0(A) )
=> ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc4_lattices) ).
fof(cc5_funct_2,axiom,
! [A,B] :
( ~ v1_xboole_0(B)
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& v1_funct_1(C) ) ) ) ),
file('theBenchmark.p',cc5_funct_2) ).
fof(cc6_funct_2,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ! [C] :
( m1_relset_1(C,A,B)
=> ( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
=> ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& ~ v1_xboole_0(C)
& v1_funct_1(C) ) ) ) ),
file('theBenchmark.p',cc6_funct_2) ).
fof(d5_lattice4,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B) )
=> ( r1_filter_1(A,B)
<=> ? [C] :
( v3_lattice4(C,A,B)
& m1_lattice4(C,A,B) ) ) ) ),
file('theBenchmark.p',d5_lattice4) ).
fof(d7_conlat_2,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))) ),
file('theBenchmark.p',d7_conlat_2) ).
fof(dt_g2_conlat_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ( l2_conlat_1(g2_conlat_1(A,B,C))
& v4_conlat_1(g2_conlat_1(A,B,C)) ) ),
file('theBenchmark.p',dt_g2_conlat_1) ).
fof(dt_g3_lattices,axiom,
! [A,B,C] :
( ( m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ( l3_lattices(g3_lattices(A,B,C))
& v3_lattices(g3_lattices(A,B,C)) ) ),
file('theBenchmark.p',dt_g3_lattices) ).
fof(dt_k10_conlat_2,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ),
file('theBenchmark.p',dt_k10_conlat_2) ).
fof(dt_k11_conlat_1,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ( l3_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) ) ),
file('theBenchmark.p',dt_k11_conlat_1) ).
fof(dt_k1_lattice2,axiom,
! [A] :
( l3_lattices(A)
=> ( l3_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
file('theBenchmark.p',dt_k1_lattice2) ).
fof(dt_k1_xboole_0,axiom,
$true,
file('theBenchmark.p',dt_k1_xboole_0) ).
fof(dt_k1_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k1_zfmisc_1) ).
fof(dt_k2_zfmisc_1,axiom,
$true,
file('theBenchmark.p',dt_k2_zfmisc_1) ).
fof(dt_k4_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> v1_relat_1(k4_relat_1(A)) ),
file('theBenchmark.p',dt_k4_relat_1) ).
fof(dt_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> m2_relset_1(k6_relset_1(A,B,C),B,A) ),
file('theBenchmark.p',dt_k6_relset_1) ).
fof(dt_k7_conlat_2,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ( l2_conlat_1(k7_conlat_2(A))
& v4_conlat_1(k7_conlat_2(A))
& ~ v3_conlat_1(k7_conlat_2(A)) ) ),
file('theBenchmark.p',dt_k7_conlat_2) ).
fof(dt_l1_conlat_1,axiom,
$true,
file('theBenchmark.p',dt_l1_conlat_1) ).
fof(dt_l1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_lattices) ).
fof(dt_l1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_l1_struct_0) ).
fof(dt_l2_conlat_1,axiom,
! [A] :
( l2_conlat_1(A)
=> l1_conlat_1(A) ),
file('theBenchmark.p',dt_l2_conlat_1) ).
fof(dt_l2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l2_lattices) ).
fof(dt_l3_lattices,axiom,
! [A] :
( l3_lattices(A)
=> ( l2_lattices(A)
& l1_lattices(A) ) ),
file('theBenchmark.p',dt_l3_lattices) ).
fof(dt_m1_lattice4,axiom,
! [A,B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [C] :
( m1_lattice4(C,A,B)
=> ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) ) ) ),
file('theBenchmark.p',dt_m1_lattice4) ).
fof(dt_m1_relset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_relset_1) ).
fof(dt_m1_subset_1,axiom,
$true,
file('theBenchmark.p',dt_m1_subset_1) ).
fof(dt_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
=> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ),
file('theBenchmark.p',dt_m2_relset_1) ).
fof(dt_u1_conlat_1,axiom,
$true,
file('theBenchmark.p',dt_u1_conlat_1) ).
fof(dt_u1_lattices,axiom,
! [A] :
( l1_lattices(A)
=> ( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A)) ) ),
file('theBenchmark.p',dt_u1_lattices) ).
fof(dt_u1_struct_0,axiom,
$true,
file('theBenchmark.p',dt_u1_struct_0) ).
fof(dt_u2_conlat_1,axiom,
$true,
file('theBenchmark.p',dt_u2_conlat_1) ).
fof(dt_u2_lattices,axiom,
! [A] :
( l2_lattices(A)
=> ( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A)) ) ),
file('theBenchmark.p',dt_u2_lattices) ).
fof(dt_u3_conlat_1,axiom,
! [A] :
( l2_conlat_1(A)
=> m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)) ),
file('theBenchmark.p',dt_u3_conlat_1) ).
fof(existence_l1_conlat_1,axiom,
? [A] : l1_conlat_1(A),
file('theBenchmark.p',existence_l1_conlat_1) ).
fof(existence_l1_lattices,axiom,
? [A] : l1_lattices(A),
file('theBenchmark.p',existence_l1_lattices) ).
fof(existence_l1_struct_0,axiom,
? [A] : l1_struct_0(A),
file('theBenchmark.p',existence_l1_struct_0) ).
fof(existence_l2_conlat_1,axiom,
? [A] : l2_conlat_1(A),
file('theBenchmark.p',existence_l2_conlat_1) ).
fof(existence_l2_lattices,axiom,
? [A] : l2_lattices(A),
file('theBenchmark.p',existence_l2_lattices) ).
fof(existence_l3_lattices,axiom,
? [A] : l3_lattices(A),
file('theBenchmark.p',existence_l3_lattices) ).
fof(existence_m1_lattice4,axiom,
! [A,B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [C] : m1_lattice4(C,A,B) ),
file('theBenchmark.p',existence_m1_lattice4) ).
fof(existence_m1_relset_1,axiom,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
file('theBenchmark.p',existence_m1_relset_1) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('theBenchmark.p',existence_m1_subset_1) ).
fof(existence_m2_relset_1,axiom,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
file('theBenchmark.p',existence_m2_relset_1) ).
fof(fc1_conlat_1,axiom,
! [A] :
( ( l1_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ~ v1_xboole_0(u2_conlat_1(A)) ),
file('theBenchmark.p',fc1_conlat_1) ).
fof(fc1_conlat_2,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ( v4_lattice3(k11_conlat_1(A))
& v15_lattices(k11_conlat_1(A))
& v14_lattices(k11_conlat_1(A))
& v13_lattices(k11_conlat_1(A))
& v10_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) ) ),
file('theBenchmark.p',fc1_conlat_2) ).
fof(fc1_lattice2,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_struct_0(A) )
=> ( v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) ) ),
file('theBenchmark.p',fc1_lattice2) ).
fof(fc1_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('theBenchmark.p',fc1_struct_0) ).
fof(fc1_subset_1,axiom,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
file('theBenchmark.p',fc1_subset_1) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('theBenchmark.p',fc1_xboole_0) ).
fof(fc2_conlat_1,axiom,
! [A] :
( ( l1_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ~ v1_xboole_0(u1_conlat_1(A)) ),
file('theBenchmark.p',fc2_conlat_1) ).
fof(fc2_conlat_2,axiom,
! [A] :
( ( l3_lattices(A)
& v4_lattice3(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v4_lattice3(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) ) ),
file('theBenchmark.p',fc2_conlat_2) ).
fof(fc2_lattice2,axiom,
! [A] :
( ( l2_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A))
& v1_relat_1(u2_lattices(A)) ) ),
file('theBenchmark.p',fc2_lattice2) ).
fof(fc3_lattice2,axiom,
! [A] :
( ( l2_lattices(A)
& v5_lattices(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A))
& v1_relat_1(u2_lattices(A)) ) ),
file('theBenchmark.p',fc3_lattice2) ).
fof(fc3_lattices,axiom,
! [A,B,C] :
( ( m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B)
& ~ v1_xboole_0(A) )
=> ( v3_lattices(g3_lattices(A,B,C))
& ~ v3_struct_0(g3_lattices(A,B,C)) ) ),
file('theBenchmark.p',fc3_lattices) ).
fof(fc4_conlat_1,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ( v10_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) ) ),
file('theBenchmark.p',fc4_conlat_1) ).
fof(fc4_lattice2,axiom,
! [A] :
( ( l1_lattices(A)
& v6_lattices(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A))
& v1_relat_1(u1_lattices(A)) ) ),
file('theBenchmark.p',fc4_lattice2) ).
fof(fc4_subset_1,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v1_xboole_0(A) )
=> ~ v1_xboole_0(k2_zfmisc_1(A,B)) ),
file('theBenchmark.p',fc4_subset_1) ).
fof(fc5_conlat_1,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ( v4_lattice3(k11_conlat_1(A))
& v10_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) ) ),
file('theBenchmark.p',fc5_conlat_1) ).
fof(fc5_lattice2,axiom,
! [A] :
( ( l1_lattices(A)
& v7_lattices(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A))
& v1_relat_1(u1_lattices(A)) ) ),
file('theBenchmark.p',fc5_lattice2) ).
fof(fc6_lattice2,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v10_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) ) ),
file('theBenchmark.p',fc6_lattice2) ).
fof(free_g2_conlat_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> ! [D,E,F] :
( g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F)
=> ( C = F
& B = E
& A = D ) ) ),
file('theBenchmark.p',free_g2_conlat_1) ).
fof(free_g3_lattices,axiom,
! [A,B,C] :
( ( m1_relset_1(C,k2_zfmisc_1(A,A),A)
& v1_funct_2(C,k2_zfmisc_1(A,A),A)
& v1_funct_1(C)
& m1_relset_1(B,k2_zfmisc_1(A,A),A)
& v1_funct_2(B,k2_zfmisc_1(A,A),A)
& v1_funct_1(B) )
=> ! [D,E,F] :
( g3_lattices(A,B,C) = g3_lattices(D,E,F)
=> ( C = F
& B = E
& A = D ) ) ),
file('theBenchmark.p',free_g3_lattices) ).
fof(involutiveness_k4_relat_1,axiom,
! [A] :
( v1_relat_1(A)
=> k4_relat_1(k4_relat_1(A)) = A ),
file('theBenchmark.p',involutiveness_k4_relat_1) ).
fof(involutiveness_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k6_relset_1(A,B,k6_relset_1(A,B,C)) = C ),
file('theBenchmark.p',involutiveness_k6_relset_1) ).
fof(rc11_lattices,axiom,
? [A] :
( v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc11_lattices) ).
fof(rc1_funct_2,axiom,
! [A,B] :
? [C] :
( v1_funct_2(C,A,B)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
file('theBenchmark.p',rc1_funct_2) ).
fof(rc1_subset_1,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ) ),
file('theBenchmark.p',rc1_subset_1) ).
fof(rc1_xboole_0,axiom,
? [A] : v1_xboole_0(A),
file('theBenchmark.p',rc1_xboole_0) ).
fof(rc2_partfun1,axiom,
! [A,B] :
? [C] :
( v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
file('theBenchmark.p',rc2_partfun1) ).
fof(rc2_subset_1,axiom,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
file('theBenchmark.p',rc2_subset_1) ).
fof(rc2_xboole_0,axiom,
? [A] : ~ v1_xboole_0(A),
file('theBenchmark.p',rc2_xboole_0) ).
fof(rc3_lattices,axiom,
? [A] :
( v3_lattices(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc3_lattices) ).
fof(rc3_struct_0,axiom,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
file('theBenchmark.p',rc3_struct_0) ).
fof(rc5_conlat_1,axiom,
? [A] :
( v4_conlat_1(A)
& l2_conlat_1(A) ),
file('theBenchmark.p',rc5_conlat_1) ).
fof(rc5_struct_0,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('theBenchmark.p',rc5_struct_0) ).
fof(rc6_lattices,axiom,
? [A] :
( v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc6_lattices) ).
fof(rc7_conlat_1,axiom,
? [A] :
( v4_conlat_1(A)
& ~ v3_conlat_1(A)
& l2_conlat_1(A) ),
file('theBenchmark.p',rc7_conlat_1) ).
fof(rc8_conlat_1,axiom,
! [A] :
( ( l1_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) ) ),
file('theBenchmark.p',rc8_conlat_1) ).
fof(rc9_conlat_1,axiom,
! [A] :
( ( l1_conlat_1(A)
& ~ v3_conlat_1(A) )
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(A))) ) ),
file('theBenchmark.p',rc9_conlat_1) ).
fof(rc9_lattices,axiom,
? [A] :
( v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('theBenchmark.p',rc9_lattices) ).
fof(redefinition_k6_relset_1,axiom,
! [A,B,C] :
( m1_relset_1(C,A,B)
=> k6_relset_1(A,B,C) = k4_relat_1(C) ),
file('theBenchmark.p',redefinition_k6_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [A,B,C] :
( m2_relset_1(C,A,B)
<=> m1_relset_1(C,A,B) ),
file('theBenchmark.p',redefinition_m2_relset_1) ).
fof(reflexivity_r1_filter_1,axiom,
! [A,B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> r1_filter_1(A,A) ),
file('theBenchmark.p',reflexivity_r1_filter_1) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : r1_tarski(A,A),
file('theBenchmark.p',reflexivity_r1_tarski) ).
fof(symmetry_r1_filter_1,axiom,
! [A,B] :
( ( l3_lattices(B)
& v10_lattices(B)
& ~ v3_struct_0(B)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( r1_filter_1(A,B)
=> r1_filter_1(B,A) ) ),
file('theBenchmark.p',symmetry_r1_filter_1) ).
fof(t1_subset,axiom,
! [A,B] :
( r2_hidden(A,B)
=> m1_subset_1(A,B) ),
file('theBenchmark.p',t1_subset) ).
fof(t21_conlat_2,axiom,
! [A] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) ),
file('theBenchmark.p',t21_conlat_2) ).
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] :
( ( l2_conlat_1(A)
& ~ v3_conlat_1(A) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(A)),k1_lattice2(k11_conlat_1(A))) ),
inference(negate,[status(cth)],[t22_conlat_2]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(A)),k1_lattice2(k11_conlat_1(A)))
& l2_conlat_1(A)
& ~ v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_0] :
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(U_0)),k1_lattice2(k11_conlat_1(U_0)))
& l2_conlat_1(U_0)
& ~ v3_conlat_1(U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK1)),k1_lattice2(k11_conlat_1(sK1)))
& l2_conlat_1(sK1)
& ~ v3_conlat_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_0,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK1)),k1_lattice2(k11_conlat_1(sK1)))
& l2_conlat_1(sK1)
& ~ v3_conlat_1(sK1) ),
inference(definitional_conversion,[status(esa)],[f_1_4]) ).
cnf(f_1_6,negated_conjecture,
~ v3_conlat_1(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_7,negated_conjecture,
l2_conlat_1(sK1),
inference(clausify,[status(thm)],[f_1_5]) ).
cnf(f_1_8,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK1)),k1_lattice2(k11_conlat_1(sK1))),
inference(clausify,[status(thm)],[f_1_5]) ).
fof(f_2_1,plain,
! [A] :
( A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ v3_lattices(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v3_lattices]) ).
fof(f_2_2,plain,
! [U_1] :
( U_1 = g3_lattices(u1_struct_0(U_1),u2_lattices(U_1),u1_lattices(U_1))
| ~ v3_lattices(U_1)
| ~ l3_lattices(U_1) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( U_1 = g3_lattices(u1_struct_0(U_1),u2_lattices(U_1),u1_lattices(U_1))
| ~ v3_lattices(U_1)
| ~ l3_lattices(U_1) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [A] :
( A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))
| ~ v4_conlat_1(A)
| ~ l2_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[abstractness_v4_conlat_1]) ).
fof(f_3_2,plain,
! [U_2] :
( U_2 = g2_conlat_1(u1_conlat_1(U_2),u2_conlat_1(U_2),u3_conlat_1(U_2))
| ~ v4_conlat_1(U_2)
| ~ l2_conlat_1(U_2) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( U_2 = g2_conlat_1(u1_conlat_1(U_2),u2_conlat_1(U_2),u3_conlat_1(U_2))
| ~ v4_conlat_1(U_2)
| ~ l2_conlat_1(U_2) ),
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_4,U_3] :
( ~ r2_hidden(U_3,U_4)
| ~ r2_hidden(U_4,U_3) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( ~ r2_hidden(U_3,U_4)
| ~ r2_hidden(U_4,U_3) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [A,B,C] :
( ( v1_funct_2(C,A,B)
& v1_funct_1(C) )
| ~ v1_partfun1(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[cc1_funct_2]) ).
fof(f_5_2,plain,
! [U_7,U_6,U_5] :
( ( v1_funct_2(U_5,U_7,U_6)
& v1_funct_1(U_5) )
| ~ v1_partfun1(U_5,U_7,U_6)
| ~ v1_funct_1(U_5)
| ~ m1_relset_1(U_5,U_7,U_6) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( v1_funct_1(U_5)
| ~ v1_partfun1(U_5,U_7,U_6)
| ~ v1_funct_1(U_5)
| ~ m1_relset_1(U_5,U_7,U_6) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(f_5_4,plain,
( v1_funct_2(U_5,U_7,U_6)
| ~ v1_partfun1(U_5,U_7,U_6)
| ~ v1_funct_1(U_5)
| ~ m1_relset_1(U_5,U_7,U_6) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [A] :
( ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc1_lattices]) ).
fof(f_6_2,plain,
! [U_8] :
( ( v9_lattices(U_8)
& v8_lattices(U_8)
& v7_lattices(U_8)
& v6_lattices(U_8)
& v5_lattices(U_8)
& v4_lattices(U_8)
& ~ v3_struct_0(U_8) )
| ~ v10_lattices(U_8)
| v3_struct_0(U_8)
| ~ l3_lattices(U_8) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( ~ v3_struct_0(U_8)
| ~ v10_lattices(U_8)
| v3_struct_0(U_8)
| ~ l3_lattices(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( v4_lattices(U_8)
| ~ v10_lattices(U_8)
| v3_struct_0(U_8)
| ~ l3_lattices(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_5,plain,
( v5_lattices(U_8)
| ~ v10_lattices(U_8)
| v3_struct_0(U_8)
| ~ l3_lattices(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_6,plain,
( v6_lattices(U_8)
| ~ v10_lattices(U_8)
| v3_struct_0(U_8)
| ~ l3_lattices(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_7,plain,
( v7_lattices(U_8)
| ~ v10_lattices(U_8)
| v3_struct_0(U_8)
| ~ l3_lattices(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_8,plain,
( v8_lattices(U_8)
| ~ v10_lattices(U_8)
| v3_struct_0(U_8)
| ~ l3_lattices(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(f_6_9,plain,
( v9_lattices(U_8)
| ~ v10_lattices(U_8)
| v3_struct_0(U_8)
| ~ l3_lattices(U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_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_7_2,plain,
! [U_11,U_10,U_9] :
( v1_relat_1(U_9)
| ~ m1_subset_1(U_9,k1_zfmisc_1(k2_zfmisc_1(U_11,U_10))) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
cnf(f_7_3,plain,
( v1_relat_1(U_9)
| ~ m1_subset_1(U_9,k1_zfmisc_1(k2_zfmisc_1(U_11,U_10))) ),
inference(clausify,[status(thm)],[f_7_2]) ).
fof(f_8_1,plain,
! [A] :
( ( v10_lattices(A)
& ~ v3_struct_0(A) )
| ~ v9_lattices(A)
| ~ v8_lattices(A)
| ~ v7_lattices(A)
| ~ v6_lattices(A)
| ~ v5_lattices(A)
| ~ v4_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc2_lattices]) ).
fof(f_8_2,plain,
! [U_12] :
( ( v10_lattices(U_12)
& ~ v3_struct_0(U_12) )
| ~ v9_lattices(U_12)
| ~ v8_lattices(U_12)
| ~ v7_lattices(U_12)
| ~ v6_lattices(U_12)
| ~ v5_lattices(U_12)
| ~ v4_lattices(U_12)
| v3_struct_0(U_12)
| ~ l3_lattices(U_12) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( ~ v3_struct_0(U_12)
| ~ v9_lattices(U_12)
| ~ v8_lattices(U_12)
| ~ v7_lattices(U_12)
| ~ v6_lattices(U_12)
| ~ v5_lattices(U_12)
| ~ v4_lattices(U_12)
| v3_struct_0(U_12)
| ~ l3_lattices(U_12) ),
inference(clausify,[status(thm)],[f_8_2]) ).
cnf(f_8_4,plain,
( v10_lattices(U_12)
| ~ v9_lattices(U_12)
| ~ v8_lattices(U_12)
| ~ v7_lattices(U_12)
| ~ v6_lattices(U_12)
| ~ v5_lattices(U_12)
| ~ v4_lattices(U_12)
| v3_struct_0(U_12)
| ~ l3_lattices(U_12) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [A] :
( ( v15_lattices(A)
& ~ v3_struct_0(A) )
| ~ v14_lattices(A)
| ~ v13_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc3_lattices]) ).
fof(f_9_2,plain,
! [U_13] :
( ( v15_lattices(U_13)
& ~ v3_struct_0(U_13) )
| ~ v14_lattices(U_13)
| ~ v13_lattices(U_13)
| v3_struct_0(U_13)
| ~ l3_lattices(U_13) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( ~ v3_struct_0(U_13)
| ~ v14_lattices(U_13)
| ~ v13_lattices(U_13)
| v3_struct_0(U_13)
| ~ l3_lattices(U_13) ),
inference(clausify,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( v15_lattices(U_13)
| ~ v14_lattices(U_13)
| ~ v13_lattices(U_13)
| v3_struct_0(U_13)
| ~ l3_lattices(U_13) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
! [A] :
( ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) )
| ~ v15_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[cc4_lattices]) ).
fof(f_10_2,plain,
! [U_14] :
( ( v14_lattices(U_14)
& v13_lattices(U_14)
& ~ v3_struct_0(U_14) )
| ~ v15_lattices(U_14)
| v3_struct_0(U_14)
| ~ l3_lattices(U_14) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( ~ v3_struct_0(U_14)
| ~ v15_lattices(U_14)
| v3_struct_0(U_14)
| ~ l3_lattices(U_14) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( v13_lattices(U_14)
| ~ v15_lattices(U_14)
| v3_struct_0(U_14)
| ~ l3_lattices(U_14) ),
inference(clausify,[status(thm)],[f_10_2]) ).
cnf(f_10_5,plain,
( v14_lattices(U_14)
| ~ v15_lattices(U_14)
| v3_struct_0(U_14)
| ~ l3_lattices(U_14) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [A,B] :
( ! [C] :
( ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& v1_funct_1(C) )
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) )
| v1_xboole_0(B) ),
inference(fof_nnf,[status(thm)],[cc5_funct_2]) ).
fof(f_11_2,plain,
! [U_17,U_16] :
( ! [U_15] :
( ( v1_funct_2(U_15,U_17,U_16)
& v1_partfun1(U_15,U_17,U_16)
& v1_funct_1(U_15) )
| ~ v1_funct_2(U_15,U_17,U_16)
| ~ v1_funct_1(U_15)
| ~ m1_relset_1(U_15,U_17,U_16) )
| v1_xboole_0(U_16) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( v1_funct_1(U_15)
| ~ v1_funct_2(U_15,U_17,U_16)
| ~ v1_funct_1(U_15)
| ~ m1_relset_1(U_15,U_17,U_16)
| v1_xboole_0(U_16) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( v1_partfun1(U_15,U_17,U_16)
| ~ v1_funct_2(U_15,U_17,U_16)
| ~ v1_funct_1(U_15)
| ~ m1_relset_1(U_15,U_17,U_16)
| v1_xboole_0(U_16) ),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(f_11_5,plain,
( v1_funct_2(U_15,U_17,U_16)
| ~ v1_funct_2(U_15,U_17,U_16)
| ~ v1_funct_1(U_15)
| ~ m1_relset_1(U_15,U_17,U_16)
| v1_xboole_0(U_16) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [A,B] :
( ! [C] :
( ( v1_funct_2(C,A,B)
& v1_partfun1(C,A,B)
& ~ v1_xboole_0(C)
& v1_funct_1(C) )
| ~ v1_funct_2(C,A,B)
| ~ v1_funct_1(C)
| ~ m1_relset_1(C,A,B) )
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[cc6_funct_2]) ).
fof(f_12_2,plain,
! [U_20,U_19] :
( ! [U_18] :
( ( v1_funct_2(U_18,U_20,U_19)
& v1_partfun1(U_18,U_20,U_19)
& ~ v1_xboole_0(U_18)
& v1_funct_1(U_18) )
| ~ v1_funct_2(U_18,U_20,U_19)
| ~ v1_funct_1(U_18)
| ~ m1_relset_1(U_18,U_20,U_19) )
| v1_xboole_0(U_19)
| v1_xboole_0(U_20) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( v1_funct_1(U_18)
| ~ v1_funct_2(U_18,U_20,U_19)
| ~ v1_funct_1(U_18)
| ~ m1_relset_1(U_18,U_20,U_19)
| v1_xboole_0(U_19)
| v1_xboole_0(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_4,plain,
( ~ v1_xboole_0(U_18)
| ~ v1_funct_2(U_18,U_20,U_19)
| ~ v1_funct_1(U_18)
| ~ m1_relset_1(U_18,U_20,U_19)
| v1_xboole_0(U_19)
| v1_xboole_0(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_5,plain,
( v1_partfun1(U_18,U_20,U_19)
| ~ v1_funct_2(U_18,U_20,U_19)
| ~ v1_funct_1(U_18)
| ~ m1_relset_1(U_18,U_20,U_19)
| v1_xboole_0(U_19)
| v1_xboole_0(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
cnf(f_12_6,plain,
( v1_funct_2(U_18,U_20,U_19)
| ~ v1_funct_2(U_18,U_20,U_19)
| ~ v1_funct_1(U_18)
| ~ m1_relset_1(U_18,U_20,U_19)
| v1_xboole_0(U_19)
| v1_xboole_0(U_20) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [A] :
( ! [B] :
( ( ( r1_filter_1(A,B)
| ! [C] :
( ~ v3_lattice4(C,A,B)
| ~ m1_lattice4(C,A,B) ) )
& ( ? [C] :
( v3_lattice4(C,A,B)
& m1_lattice4(C,A,B) )
| ~ r1_filter_1(A,B) ) )
| ~ l3_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d5_lattice4]) ).
fof(f_13_2,plain,
! [U_24] :
( ! [U_23] :
( ( ( r1_filter_1(U_24,U_23)
| ! [U_22] :
( ~ v3_lattice4(U_22,U_24,U_23)
| ~ m1_lattice4(U_22,U_24,U_23) ) )
& ( ? [U_21] :
( v3_lattice4(U_21,U_24,U_23)
& m1_lattice4(U_21,U_24,U_23) )
| ~ r1_filter_1(U_24,U_23) ) )
| ~ l3_lattices(U_23)
| ~ v10_lattices(U_23)
| v3_struct_0(U_23) )
| ~ l3_lattices(U_24)
| ~ v10_lattices(U_24)
| v3_struct_0(U_24) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_24] :
( ! [U_23] :
( ( ( r1_filter_1(U_24,U_23)
| ! [U_22] :
( ~ v3_lattice4(U_22,U_24,U_23)
| ~ m1_lattice4(U_22,U_24,U_23) ) )
& ( ( v3_lattice4(sK2(U_24,U_23),U_24,U_23)
& m1_lattice4(sK2(U_24,U_23),U_24,U_23) )
| ~ r1_filter_1(U_24,U_23) ) )
| ~ l3_lattices(U_23)
| ~ v10_lattices(U_23)
| v3_struct_0(U_23) )
| ~ l3_lattices(U_24)
| ~ v10_lattices(U_24)
| v3_struct_0(U_24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_21,sK2(U_24,U_23))],[f_13_2]) ).
cnf(f_13_4,plain,
( m1_lattice4(sK2(U_24,U_23),U_24,U_23)
| ~ r1_filter_1(U_24,U_23)
| ~ l3_lattices(U_23)
| ~ v10_lattices(U_23)
| v3_struct_0(U_23)
| ~ l3_lattices(U_24)
| ~ v10_lattices(U_24)
| v3_struct_0(U_24) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( v3_lattice4(sK2(U_24,U_23),U_24,U_23)
| ~ r1_filter_1(U_24,U_23)
| ~ l3_lattices(U_23)
| ~ v10_lattices(U_23)
| v3_struct_0(U_23)
| ~ l3_lattices(U_24)
| ~ v10_lattices(U_24)
| v3_struct_0(U_24) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_6,plain,
( r1_filter_1(U_24,U_23)
| ~ v3_lattice4(U_22,U_24,U_23)
| ~ m1_lattice4(U_22,U_24,U_23)
| ~ l3_lattices(U_23)
| ~ v10_lattices(U_23)
| v3_struct_0(U_23)
| ~ l3_lattices(U_24)
| ~ v10_lattices(U_24)
| v3_struct_0(U_24) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [A] :
( k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)))
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[d7_conlat_2]) ).
fof(f_14_2,plain,
! [U_25] :
( k7_conlat_2(U_25) = g2_conlat_1(u2_conlat_1(U_25),u1_conlat_1(U_25),k6_relset_1(u1_conlat_1(U_25),u2_conlat_1(U_25),u3_conlat_1(U_25)))
| ~ l2_conlat_1(U_25)
| v3_conlat_1(U_25) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( k7_conlat_2(U_25) = g2_conlat_1(u2_conlat_1(U_25),u1_conlat_1(U_25),k6_relset_1(u1_conlat_1(U_25),u2_conlat_1(U_25),u3_conlat_1(U_25)))
| ~ l2_conlat_1(U_25)
| v3_conlat_1(U_25) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [A,B,C] :
( ( l2_conlat_1(g2_conlat_1(A,B,C))
& v4_conlat_1(g2_conlat_1(A,B,C)) )
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_g2_conlat_1]) ).
fof(f_15_2,plain,
! [U_28,U_27,U_26] :
( ( l2_conlat_1(g2_conlat_1(U_28,U_27,U_26))
& v4_conlat_1(g2_conlat_1(U_28,U_27,U_26)) )
| ~ m1_relset_1(U_26,U_28,U_27) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( v4_conlat_1(g2_conlat_1(U_28,U_27,U_26))
| ~ m1_relset_1(U_26,U_28,U_27) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_4,plain,
( l2_conlat_1(g2_conlat_1(U_28,U_27,U_26))
| ~ m1_relset_1(U_26,U_28,U_27) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [A,B,C] :
( ( l3_lattices(g3_lattices(A,B,C))
& v3_lattices(g3_lattices(A,B,C)) )
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[dt_g3_lattices]) ).
fof(f_16_2,plain,
! [U_31,U_30,U_29] :
( ( l3_lattices(g3_lattices(U_31,U_30,U_29))
& v3_lattices(g3_lattices(U_31,U_30,U_29)) )
| ~ m1_relset_1(U_29,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_2(U_29,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_1(U_29)
| ~ m1_relset_1(U_30,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_2(U_30,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_1(U_30) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( v3_lattices(g3_lattices(U_31,U_30,U_29))
| ~ m1_relset_1(U_29,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_2(U_29,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_1(U_29)
| ~ m1_relset_1(U_30,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_2(U_30,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_1(U_30) ),
inference(clausify,[status(thm)],[f_16_2]) ).
cnf(f_16_4,plain,
( l3_lattices(g3_lattices(U_31,U_30,U_29))
| ~ m1_relset_1(U_29,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_2(U_29,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_1(U_29)
| ~ m1_relset_1(U_30,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_2(U_30,k2_zfmisc_1(U_31,U_31),U_31)
| ~ v1_funct_1(U_30) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [A] :
( m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A)))
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k10_conlat_2]) ).
fof(f_17_2,plain,
! [U_32] :
( m1_lattice4(k10_conlat_2(U_32),k1_lattice2(k11_conlat_1(U_32)),k11_conlat_1(k7_conlat_2(U_32)))
| ~ l2_conlat_1(U_32)
| v3_conlat_1(U_32) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( m1_lattice4(k10_conlat_2(U_32),k1_lattice2(k11_conlat_1(U_32)),k11_conlat_1(k7_conlat_2(U_32)))
| ~ l2_conlat_1(U_32)
| v3_conlat_1(U_32) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [A] :
( ( l3_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k11_conlat_1]) ).
fof(f_18_2,plain,
! [U_33] :
( ( l3_lattices(k11_conlat_1(U_33))
& v3_lattices(k11_conlat_1(U_33))
& ~ v3_struct_0(k11_conlat_1(U_33)) )
| ~ l2_conlat_1(U_33)
| v3_conlat_1(U_33) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( ~ v3_struct_0(k11_conlat_1(U_33))
| ~ l2_conlat_1(U_33)
| v3_conlat_1(U_33) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_4,plain,
( v3_lattices(k11_conlat_1(U_33))
| ~ l2_conlat_1(U_33)
| v3_conlat_1(U_33) ),
inference(clausify,[status(thm)],[f_18_2]) ).
cnf(f_18_5,plain,
( l3_lattices(k11_conlat_1(U_33))
| ~ l2_conlat_1(U_33)
| v3_conlat_1(U_33) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [A] :
( ( l3_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) )
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_k1_lattice2]) ).
fof(f_19_2,plain,
! [U_34] :
( ( l3_lattices(k1_lattice2(U_34))
& v3_lattices(k1_lattice2(U_34)) )
| ~ l3_lattices(U_34) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( v3_lattices(k1_lattice2(U_34))
| ~ l3_lattices(U_34) ),
inference(clausify,[status(thm)],[f_19_2]) ).
cnf(f_19_4,plain,
( l3_lattices(k1_lattice2(U_34))
| ~ l3_lattices(U_34) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_xboole_0]) ).
cnf(f_20_2,plain,
$true,
inference(clausify,[status(thm)],[f_20_1]) ).
fof(f_21_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k1_zfmisc_1]) ).
cnf(f_21_2,plain,
$true,
inference(clausify,[status(thm)],[f_21_1]) ).
fof(f_22_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_k2_zfmisc_1]) ).
cnf(f_22_2,plain,
$true,
inference(clausify,[status(thm)],[f_22_1]) ).
fof(f_23_1,plain,
! [A] :
( v1_relat_1(k4_relat_1(A))
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k4_relat_1]) ).
fof(f_23_2,plain,
! [U_35] :
( v1_relat_1(k4_relat_1(U_35))
| ~ v1_relat_1(U_35) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( v1_relat_1(k4_relat_1(U_35))
| ~ v1_relat_1(U_35) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [A,B,C] :
( m2_relset_1(k6_relset_1(A,B,C),B,A)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[dt_k6_relset_1]) ).
fof(f_24_2,plain,
! [U_38,U_37,U_36] :
( m2_relset_1(k6_relset_1(U_38,U_37,U_36),U_37,U_38)
| ~ m1_relset_1(U_36,U_38,U_37) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( m2_relset_1(k6_relset_1(U_38,U_37,U_36),U_37,U_38)
| ~ m1_relset_1(U_36,U_38,U_37) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
! [A] :
( ( l2_conlat_1(k7_conlat_2(A))
& v4_conlat_1(k7_conlat_2(A))
& ~ v3_conlat_1(k7_conlat_2(A)) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_k7_conlat_2]) ).
fof(f_25_2,plain,
! [U_39] :
( ( l2_conlat_1(k7_conlat_2(U_39))
& v4_conlat_1(k7_conlat_2(U_39))
& ~ v3_conlat_1(k7_conlat_2(U_39)) )
| ~ l2_conlat_1(U_39)
| v3_conlat_1(U_39) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( ~ v3_conlat_1(k7_conlat_2(U_39))
| ~ l2_conlat_1(U_39)
| v3_conlat_1(U_39) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_4,plain,
( v4_conlat_1(k7_conlat_2(U_39))
| ~ l2_conlat_1(U_39)
| v3_conlat_1(U_39) ),
inference(clausify,[status(thm)],[f_25_2]) ).
cnf(f_25_5,plain,
( l2_conlat_1(k7_conlat_2(U_39))
| ~ l2_conlat_1(U_39)
| v3_conlat_1(U_39) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_conlat_1]) ).
cnf(f_26_2,plain,
$true,
inference(clausify,[status(thm)],[f_26_1]) ).
fof(f_27_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l1_lattices]) ).
fof(f_27_2,plain,
! [U_40] :
( l1_struct_0(U_40)
| ~ l1_lattices(U_40) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( l1_struct_0(U_40)
| ~ l1_lattices(U_40) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_l1_struct_0]) ).
cnf(f_28_2,plain,
$true,
inference(clausify,[status(thm)],[f_28_1]) ).
fof(f_29_1,plain,
! [A] :
( l1_conlat_1(A)
| ~ l2_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_conlat_1]) ).
fof(f_29_2,plain,
! [U_41] :
( l1_conlat_1(U_41)
| ~ l2_conlat_1(U_41) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( l1_conlat_1(U_41)
| ~ l2_conlat_1(U_41) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [A] :
( l1_struct_0(A)
| ~ l2_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l2_lattices]) ).
fof(f_30_2,plain,
! [U_42] :
( l1_struct_0(U_42)
| ~ l2_lattices(U_42) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( l1_struct_0(U_42)
| ~ l2_lattices(U_42) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [A] :
( ( l2_lattices(A)
& l1_lattices(A) )
| ~ l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_l3_lattices]) ).
fof(f_31_2,plain,
! [U_43] :
( ( l2_lattices(U_43)
& l1_lattices(U_43) )
| ~ l3_lattices(U_43) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( l1_lattices(U_43)
| ~ l3_lattices(U_43) ),
inference(clausify,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( l2_lattices(U_43)
| ~ l3_lattices(U_43) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [A,B] :
( ! [C] :
( ( m2_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_funct_1(C) )
| ~ m1_lattice4(C,A,B) )
| ~ l3_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[dt_m1_lattice4]) ).
fof(f_32_2,plain,
! [U_46,U_45] :
( ! [U_44] :
( ( m2_relset_1(U_44,u1_struct_0(U_46),u1_struct_0(U_45))
& v1_funct_2(U_44,u1_struct_0(U_46),u1_struct_0(U_45))
& v1_funct_1(U_44) )
| ~ m1_lattice4(U_44,U_46,U_45) )
| ~ l3_lattices(U_45)
| ~ v10_lattices(U_45)
| v3_struct_0(U_45)
| ~ l3_lattices(U_46)
| ~ v10_lattices(U_46)
| v3_struct_0(U_46) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( v1_funct_1(U_44)
| ~ m1_lattice4(U_44,U_46,U_45)
| ~ l3_lattices(U_45)
| ~ v10_lattices(U_45)
| v3_struct_0(U_45)
| ~ l3_lattices(U_46)
| ~ v10_lattices(U_46)
| v3_struct_0(U_46) ),
inference(clausify,[status(thm)],[f_32_2]) ).
cnf(f_32_4,plain,
( v1_funct_2(U_44,u1_struct_0(U_46),u1_struct_0(U_45))
| ~ m1_lattice4(U_44,U_46,U_45)
| ~ l3_lattices(U_45)
| ~ v10_lattices(U_45)
| v3_struct_0(U_45)
| ~ l3_lattices(U_46)
| ~ v10_lattices(U_46)
| v3_struct_0(U_46) ),
inference(clausify,[status(thm)],[f_32_2]) ).
cnf(f_32_5,plain,
( m2_relset_1(U_44,u1_struct_0(U_46),u1_struct_0(U_45))
| ~ m1_lattice4(U_44,U_46,U_45)
| ~ l3_lattices(U_45)
| ~ v10_lattices(U_45)
| v3_struct_0(U_45)
| ~ l3_lattices(U_46)
| ~ v10_lattices(U_46)
| v3_struct_0(U_46) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_relset_1]) ).
cnf(f_33_2,plain,
$true,
inference(clausify,[status(thm)],[f_33_1]) ).
fof(f_34_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_m1_subset_1]) ).
cnf(f_34_2,plain,
$true,
inference(clausify,[status(thm)],[f_34_1]) ).
fof(f_35_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_35_2,plain,
! [U_49,U_48,U_47] :
( m1_subset_1(U_47,k1_zfmisc_1(k2_zfmisc_1(U_49,U_48)))
| ~ m2_relset_1(U_47,U_49,U_48) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( m1_subset_1(U_47,k1_zfmisc_1(k2_zfmisc_1(U_49,U_48)))
| ~ m2_relset_1(U_47,U_49,U_48) ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_conlat_1]) ).
cnf(f_36_2,plain,
$true,
inference(clausify,[status(thm)],[f_36_1]) ).
fof(f_37_1,plain,
! [A] :
( ( m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A)) )
| ~ l1_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_u1_lattices]) ).
fof(f_37_2,plain,
! [U_50] :
( ( m2_relset_1(u1_lattices(U_50),k2_zfmisc_1(u1_struct_0(U_50),u1_struct_0(U_50)),u1_struct_0(U_50))
& v1_funct_2(u1_lattices(U_50),k2_zfmisc_1(u1_struct_0(U_50),u1_struct_0(U_50)),u1_struct_0(U_50))
& v1_funct_1(u1_lattices(U_50)) )
| ~ l1_lattices(U_50) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( v1_funct_1(u1_lattices(U_50))
| ~ l1_lattices(U_50) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_4,plain,
( v1_funct_2(u1_lattices(U_50),k2_zfmisc_1(u1_struct_0(U_50),u1_struct_0(U_50)),u1_struct_0(U_50))
| ~ l1_lattices(U_50) ),
inference(clausify,[status(thm)],[f_37_2]) ).
cnf(f_37_5,plain,
( m2_relset_1(u1_lattices(U_50),k2_zfmisc_1(u1_struct_0(U_50),u1_struct_0(U_50)),u1_struct_0(U_50))
| ~ l1_lattices(U_50) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
$true,
inference(fof_nnf,[status(thm)],[dt_u1_struct_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_u2_conlat_1]) ).
cnf(f_39_2,plain,
$true,
inference(clausify,[status(thm)],[f_39_1]) ).
fof(f_40_1,plain,
! [A] :
( ( m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A)) )
| ~ l2_lattices(A) ),
inference(fof_nnf,[status(thm)],[dt_u2_lattices]) ).
fof(f_40_2,plain,
! [U_51] :
( ( m2_relset_1(u2_lattices(U_51),k2_zfmisc_1(u1_struct_0(U_51),u1_struct_0(U_51)),u1_struct_0(U_51))
& v1_funct_2(u2_lattices(U_51),k2_zfmisc_1(u1_struct_0(U_51),u1_struct_0(U_51)),u1_struct_0(U_51))
& v1_funct_1(u2_lattices(U_51)) )
| ~ l2_lattices(U_51) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
( v1_funct_1(u2_lattices(U_51))
| ~ l2_lattices(U_51) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_4,plain,
( v1_funct_2(u2_lattices(U_51),k2_zfmisc_1(u1_struct_0(U_51),u1_struct_0(U_51)),u1_struct_0(U_51))
| ~ l2_lattices(U_51) ),
inference(clausify,[status(thm)],[f_40_2]) ).
cnf(f_40_5,plain,
( m2_relset_1(u2_lattices(U_51),k2_zfmisc_1(u1_struct_0(U_51),u1_struct_0(U_51)),u1_struct_0(U_51))
| ~ l2_lattices(U_51) ),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
! [A] :
( m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A))
| ~ l2_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[dt_u3_conlat_1]) ).
fof(f_41_2,plain,
! [U_52] :
( m2_relset_1(u3_conlat_1(U_52),u1_conlat_1(U_52),u2_conlat_1(U_52))
| ~ l2_conlat_1(U_52) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
( m2_relset_1(u3_conlat_1(U_52),u1_conlat_1(U_52),u2_conlat_1(U_52))
| ~ l2_conlat_1(U_52) ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
? [A] : l1_conlat_1(A),
inference(fof_nnf,[status(thm)],[existence_l1_conlat_1]) ).
fof(f_42_2,plain,
? [U_53] : l1_conlat_1(U_53),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
l1_conlat_1(sK3),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_53,sK3)],[f_42_2]) ).
cnf(f_42_4,plain,
l1_conlat_1(sK3),
inference(clausify,[status(thm)],[f_42_3]) ).
fof(f_43_1,plain,
? [A] : l1_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l1_lattices]) ).
fof(f_43_2,plain,
? [U_54] : l1_lattices(U_54),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
l1_lattices(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_54,sK4)],[f_43_2]) ).
cnf(f_43_4,plain,
l1_lattices(sK4),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
? [A] : l1_struct_0(A),
inference(fof_nnf,[status(thm)],[existence_l1_struct_0]) ).
fof(f_44_2,plain,
? [U_55] : l1_struct_0(U_55),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
l1_struct_0(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_55,sK5)],[f_44_2]) ).
cnf(f_44_4,plain,
l1_struct_0(sK5),
inference(clausify,[status(thm)],[f_44_3]) ).
fof(f_45_1,plain,
? [A] : l2_conlat_1(A),
inference(fof_nnf,[status(thm)],[existence_l2_conlat_1]) ).
fof(f_45_2,plain,
? [U_56] : l2_conlat_1(U_56),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
l2_conlat_1(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_56,sK6)],[f_45_2]) ).
cnf(f_45_4,plain,
l2_conlat_1(sK6),
inference(clausify,[status(thm)],[f_45_3]) ).
fof(f_46_1,plain,
? [A] : l2_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l2_lattices]) ).
fof(f_46_2,plain,
? [U_57] : l2_lattices(U_57),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
l2_lattices(sK7),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_57,sK7)],[f_46_2]) ).
cnf(f_46_4,plain,
l2_lattices(sK7),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
? [A] : l3_lattices(A),
inference(fof_nnf,[status(thm)],[existence_l3_lattices]) ).
fof(f_47_2,plain,
? [U_58] : l3_lattices(U_58),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
l3_lattices(sK8),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_58,sK8)],[f_47_2]) ).
cnf(f_47_4,plain,
l3_lattices(sK8),
inference(clausify,[status(thm)],[f_47_3]) ).
fof(f_48_1,plain,
! [A,B] :
( ? [C] : m1_lattice4(C,A,B)
| ~ l3_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[existence_m1_lattice4]) ).
fof(f_48_2,plain,
! [U_61,U_60] :
( ? [U_59] : m1_lattice4(U_59,U_61,U_60)
| ~ l3_lattices(U_60)
| ~ v10_lattices(U_60)
| v3_struct_0(U_60)
| ~ l3_lattices(U_61)
| ~ v10_lattices(U_61)
| v3_struct_0(U_61) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
! [U_61,U_60] :
( m1_lattice4(sK9(U_61,U_60),U_61,U_60)
| ~ l3_lattices(U_60)
| ~ v10_lattices(U_60)
| v3_struct_0(U_60)
| ~ l3_lattices(U_61)
| ~ v10_lattices(U_61)
| v3_struct_0(U_61) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_59,sK9(U_61,U_60))],[f_48_2]) ).
cnf(f_48_4,plain,
( m1_lattice4(sK9(U_61,U_60),U_61,U_60)
| ~ l3_lattices(U_60)
| ~ v10_lattices(U_60)
| v3_struct_0(U_60)
| ~ l3_lattices(U_61)
| ~ v10_lattices(U_61)
| v3_struct_0(U_61) ),
inference(clausify,[status(thm)],[f_48_3]) ).
fof(f_49_1,plain,
! [A,B] :
? [C] : m1_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m1_relset_1]) ).
fof(f_49_2,plain,
! [U_64,U_63] :
? [U_62] : m1_relset_1(U_62,U_64,U_63),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
! [U_64,U_63] : m1_relset_1(sK10(U_64,U_63),U_64,U_63),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_62,sK10(U_64,U_63))],[f_49_2]) ).
cnf(f_49_4,plain,
m1_relset_1(sK10(U_64,U_63),U_64,U_63),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_1,plain,
! [A] :
? [B] : m1_subset_1(B,A),
inference(fof_nnf,[status(thm)],[existence_m1_subset_1]) ).
fof(f_50_2,plain,
! [U_66] :
? [U_65] : m1_subset_1(U_65,U_66),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
! [U_66] : m1_subset_1(sK11(U_66),U_66),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_65,sK11(U_66))],[f_50_2]) ).
cnf(f_50_4,plain,
m1_subset_1(sK11(U_66),U_66),
inference(clausify,[status(thm)],[f_50_3]) ).
fof(f_51_1,plain,
! [A,B] :
? [C] : m2_relset_1(C,A,B),
inference(fof_nnf,[status(thm)],[existence_m2_relset_1]) ).
fof(f_51_2,plain,
! [U_69,U_68] :
? [U_67] : m2_relset_1(U_67,U_69,U_68),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
! [U_69,U_68] : m2_relset_1(sK12(U_69,U_68),U_69,U_68),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_67,sK12(U_69,U_68))],[f_51_2]) ).
cnf(f_51_4,plain,
m2_relset_1(sK12(U_69,U_68),U_69,U_68),
inference(clausify,[status(thm)],[f_51_3]) ).
fof(f_52_1,plain,
! [A] :
( ~ v1_xboole_0(u2_conlat_1(A))
| ~ l1_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[fc1_conlat_1]) ).
fof(f_52_2,plain,
! [U_70] :
( ~ v1_xboole_0(u2_conlat_1(U_70))
| ~ l1_conlat_1(U_70)
| v3_conlat_1(U_70) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
cnf(f_52_3,plain,
( ~ v1_xboole_0(u2_conlat_1(U_70))
| ~ l1_conlat_1(U_70)
| v3_conlat_1(U_70) ),
inference(clausify,[status(thm)],[f_52_2]) ).
fof(f_53_1,plain,
! [A] :
( ( v4_lattice3(k11_conlat_1(A))
& v15_lattices(k11_conlat_1(A))
& v14_lattices(k11_conlat_1(A))
& v13_lattices(k11_conlat_1(A))
& v10_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[fc1_conlat_2]) ).
fof(f_53_2,plain,
! [U_71] :
( ( v4_lattice3(k11_conlat_1(U_71))
& v15_lattices(k11_conlat_1(U_71))
& v14_lattices(k11_conlat_1(U_71))
& v13_lattices(k11_conlat_1(U_71))
& v10_lattices(k11_conlat_1(U_71))
& v9_lattices(k11_conlat_1(U_71))
& v8_lattices(k11_conlat_1(U_71))
& v7_lattices(k11_conlat_1(U_71))
& v6_lattices(k11_conlat_1(U_71))
& v5_lattices(k11_conlat_1(U_71))
& v4_lattices(k11_conlat_1(U_71))
& v3_lattices(k11_conlat_1(U_71))
& ~ v3_struct_0(k11_conlat_1(U_71)) )
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
cnf(f_53_3,plain,
( ~ v3_struct_0(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_4,plain,
( v3_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_5,plain,
( v4_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_6,plain,
( v5_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_7,plain,
( v6_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_8,plain,
( v7_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_9,plain,
( v8_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_10,plain,
( v9_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_11,plain,
( v10_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_12,plain,
( v13_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_13,plain,
( v14_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_14,plain,
( v15_lattices(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
cnf(f_53_15,plain,
( v4_lattice3(k11_conlat_1(U_71))
| ~ l2_conlat_1(U_71)
| v3_conlat_1(U_71) ),
inference(clausify,[status(thm)],[f_53_2]) ).
fof(f_54_1,plain,
! [A] :
( ( v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) )
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_lattice2]) ).
fof(f_54_2,plain,
! [U_72] :
( ( v3_lattices(k1_lattice2(U_72))
& ~ v3_struct_0(k1_lattice2(U_72)) )
| ~ l3_lattices(U_72)
| v3_struct_0(U_72) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
cnf(f_54_3,plain,
( ~ v3_struct_0(k1_lattice2(U_72))
| ~ l3_lattices(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_54_2]) ).
cnf(f_54_4,plain,
( v3_lattices(k1_lattice2(U_72))
| ~ l3_lattices(U_72)
| v3_struct_0(U_72) ),
inference(clausify,[status(thm)],[f_54_2]) ).
fof(f_55_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_55_2,plain,
! [U_73] :
( ~ v1_xboole_0(u1_struct_0(U_73))
| ~ l1_struct_0(U_73)
| v3_struct_0(U_73) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
cnf(f_55_3,plain,
( ~ v1_xboole_0(u1_struct_0(U_73))
| ~ l1_struct_0(U_73)
| v3_struct_0(U_73) ),
inference(clausify,[status(thm)],[f_55_2]) ).
fof(f_56_1,plain,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
inference(fof_nnf,[status(thm)],[fc1_subset_1]) ).
fof(f_56_2,plain,
! [U_74] : ~ v1_xboole_0(k1_zfmisc_1(U_74)),
inference(variable_rename,[status(thm)],[f_56_1]) ).
cnf(f_56_3,plain,
~ v1_xboole_0(k1_zfmisc_1(U_74)),
inference(clausify,[status(thm)],[f_56_2]) ).
fof(f_57_1,plain,
v1_xboole_0(k1_xboole_0),
inference(fof_nnf,[status(thm)],[fc1_xboole_0]) ).
cnf(f_57_2,plain,
v1_xboole_0(k1_xboole_0),
inference(clausify,[status(thm)],[f_57_1]) ).
fof(f_58_1,plain,
! [A] :
( ~ v1_xboole_0(u1_conlat_1(A))
| ~ l1_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[fc2_conlat_1]) ).
fof(f_58_2,plain,
! [U_75] :
( ~ v1_xboole_0(u1_conlat_1(U_75))
| ~ l1_conlat_1(U_75)
| v3_conlat_1(U_75) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
cnf(f_58_3,plain,
( ~ v1_xboole_0(u1_conlat_1(U_75))
| ~ l1_conlat_1(U_75)
| v3_conlat_1(U_75) ),
inference(clausify,[status(thm)],[f_58_2]) ).
fof(f_59_1,plain,
! [A] :
( ( v4_lattice3(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) )
| ~ l3_lattices(A)
| ~ v4_lattice3(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_conlat_2]) ).
fof(f_59_2,plain,
! [U_76] :
( ( v4_lattice3(k1_lattice2(U_76))
& v10_lattices(k1_lattice2(U_76))
& v9_lattices(k1_lattice2(U_76))
& v8_lattices(k1_lattice2(U_76))
& v7_lattices(k1_lattice2(U_76))
& v6_lattices(k1_lattice2(U_76))
& v5_lattices(k1_lattice2(U_76))
& v4_lattices(k1_lattice2(U_76))
& v3_lattices(k1_lattice2(U_76))
& ~ v3_struct_0(k1_lattice2(U_76)) )
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
cnf(f_59_3,plain,
( ~ v3_struct_0(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_4,plain,
( v3_lattices(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_5,plain,
( v4_lattices(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_6,plain,
( v5_lattices(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_7,plain,
( v6_lattices(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_8,plain,
( v7_lattices(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_9,plain,
( v8_lattices(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_10,plain,
( v9_lattices(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_11,plain,
( v10_lattices(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
cnf(f_59_12,plain,
( v4_lattice3(k1_lattice2(U_76))
| ~ l3_lattices(U_76)
| ~ v4_lattice3(U_76)
| ~ v10_lattices(U_76)
| v3_struct_0(U_76) ),
inference(clausify,[status(thm)],[f_59_2]) ).
fof(f_60_1,plain,
! [A] :
( ( v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A))
& v1_relat_1(u2_lattices(A)) )
| ~ l2_lattices(A)
| ~ v4_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc2_lattice2]) ).
fof(f_60_2,plain,
! [U_77] :
( ( v1_partfun1(u2_lattices(U_77),k2_zfmisc_1(u1_struct_0(U_77),u1_struct_0(U_77)),u1_struct_0(U_77))
& v1_binop_1(u2_lattices(U_77),u1_struct_0(U_77))
& v1_funct_2(u2_lattices(U_77),k2_zfmisc_1(u1_struct_0(U_77),u1_struct_0(U_77)),u1_struct_0(U_77))
& v1_funct_1(u2_lattices(U_77))
& v1_relat_1(u2_lattices(U_77)) )
| ~ l2_lattices(U_77)
| ~ v4_lattices(U_77)
| v3_struct_0(U_77) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
cnf(f_60_3,plain,
( v1_relat_1(u2_lattices(U_77))
| ~ l2_lattices(U_77)
| ~ v4_lattices(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_60_2]) ).
cnf(f_60_4,plain,
( v1_funct_1(u2_lattices(U_77))
| ~ l2_lattices(U_77)
| ~ v4_lattices(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_60_2]) ).
cnf(f_60_5,plain,
( v1_funct_2(u2_lattices(U_77),k2_zfmisc_1(u1_struct_0(U_77),u1_struct_0(U_77)),u1_struct_0(U_77))
| ~ l2_lattices(U_77)
| ~ v4_lattices(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_60_2]) ).
cnf(f_60_6,plain,
( v1_binop_1(u2_lattices(U_77),u1_struct_0(U_77))
| ~ l2_lattices(U_77)
| ~ v4_lattices(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_60_2]) ).
cnf(f_60_7,plain,
( v1_partfun1(u2_lattices(U_77),k2_zfmisc_1(u1_struct_0(U_77),u1_struct_0(U_77)),u1_struct_0(U_77))
| ~ l2_lattices(U_77)
| ~ v4_lattices(U_77)
| v3_struct_0(U_77) ),
inference(clausify,[status(thm)],[f_60_2]) ).
fof(f_61_1,plain,
! [A] :
( ( v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A))
& v1_relat_1(u2_lattices(A)) )
| ~ l2_lattices(A)
| ~ v5_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_lattice2]) ).
fof(f_61_2,plain,
! [U_78] :
( ( v1_partfun1(u2_lattices(U_78),k2_zfmisc_1(u1_struct_0(U_78),u1_struct_0(U_78)),u1_struct_0(U_78))
& v2_binop_1(u2_lattices(U_78),u1_struct_0(U_78))
& v1_funct_2(u2_lattices(U_78),k2_zfmisc_1(u1_struct_0(U_78),u1_struct_0(U_78)),u1_struct_0(U_78))
& v1_funct_1(u2_lattices(U_78))
& v1_relat_1(u2_lattices(U_78)) )
| ~ l2_lattices(U_78)
| ~ v5_lattices(U_78)
| v3_struct_0(U_78) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
cnf(f_61_3,plain,
( v1_relat_1(u2_lattices(U_78))
| ~ l2_lattices(U_78)
| ~ v5_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_61_2]) ).
cnf(f_61_4,plain,
( v1_funct_1(u2_lattices(U_78))
| ~ l2_lattices(U_78)
| ~ v5_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_61_2]) ).
cnf(f_61_5,plain,
( v1_funct_2(u2_lattices(U_78),k2_zfmisc_1(u1_struct_0(U_78),u1_struct_0(U_78)),u1_struct_0(U_78))
| ~ l2_lattices(U_78)
| ~ v5_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_61_2]) ).
cnf(f_61_6,plain,
( v2_binop_1(u2_lattices(U_78),u1_struct_0(U_78))
| ~ l2_lattices(U_78)
| ~ v5_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_61_2]) ).
cnf(f_61_7,plain,
( v1_partfun1(u2_lattices(U_78),k2_zfmisc_1(u1_struct_0(U_78),u1_struct_0(U_78)),u1_struct_0(U_78))
| ~ l2_lattices(U_78)
| ~ v5_lattices(U_78)
| v3_struct_0(U_78) ),
inference(clausify,[status(thm)],[f_61_2]) ).
fof(f_62_1,plain,
! [A,B,C] :
( ( v3_lattices(g3_lattices(A,B,C))
& ~ v3_struct_0(g3_lattices(A,B,C)) )
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc3_lattices]) ).
fof(f_62_2,plain,
! [U_81,U_80,U_79] :
( ( v3_lattices(g3_lattices(U_81,U_80,U_79))
& ~ v3_struct_0(g3_lattices(U_81,U_80,U_79)) )
| ~ m1_relset_1(U_79,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_2(U_79,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_1(U_79)
| ~ m1_relset_1(U_80,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_2(U_80,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_1(U_80)
| v1_xboole_0(U_81) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
cnf(f_62_3,plain,
( ~ v3_struct_0(g3_lattices(U_81,U_80,U_79))
| ~ m1_relset_1(U_79,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_2(U_79,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_1(U_79)
| ~ m1_relset_1(U_80,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_2(U_80,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_1(U_80)
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_62_2]) ).
cnf(f_62_4,plain,
( v3_lattices(g3_lattices(U_81,U_80,U_79))
| ~ m1_relset_1(U_79,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_2(U_79,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_1(U_79)
| ~ m1_relset_1(U_80,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_2(U_80,k2_zfmisc_1(U_81,U_81),U_81)
| ~ v1_funct_1(U_80)
| v1_xboole_0(U_81) ),
inference(clausify,[status(thm)],[f_62_2]) ).
fof(f_63_1,plain,
! [A] :
( ( v10_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[fc4_conlat_1]) ).
fof(f_63_2,plain,
! [U_82] :
( ( v10_lattices(k11_conlat_1(U_82))
& v9_lattices(k11_conlat_1(U_82))
& v8_lattices(k11_conlat_1(U_82))
& v7_lattices(k11_conlat_1(U_82))
& v6_lattices(k11_conlat_1(U_82))
& v5_lattices(k11_conlat_1(U_82))
& v4_lattices(k11_conlat_1(U_82))
& v3_lattices(k11_conlat_1(U_82))
& ~ v3_struct_0(k11_conlat_1(U_82)) )
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
cnf(f_63_3,plain,
( ~ v3_struct_0(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
cnf(f_63_4,plain,
( v3_lattices(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
cnf(f_63_5,plain,
( v4_lattices(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
cnf(f_63_6,plain,
( v5_lattices(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
cnf(f_63_7,plain,
( v6_lattices(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
cnf(f_63_8,plain,
( v7_lattices(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
cnf(f_63_9,plain,
( v8_lattices(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
cnf(f_63_10,plain,
( v9_lattices(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
cnf(f_63_11,plain,
( v10_lattices(k11_conlat_1(U_82))
| ~ l2_conlat_1(U_82)
| v3_conlat_1(U_82) ),
inference(clausify,[status(thm)],[f_63_2]) ).
fof(f_64_1,plain,
! [A] :
( ( v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A))
& v1_relat_1(u1_lattices(A)) )
| ~ l1_lattices(A)
| ~ v6_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_lattice2]) ).
fof(f_64_2,plain,
! [U_83] :
( ( v1_partfun1(u1_lattices(U_83),k2_zfmisc_1(u1_struct_0(U_83),u1_struct_0(U_83)),u1_struct_0(U_83))
& v1_binop_1(u1_lattices(U_83),u1_struct_0(U_83))
& v1_funct_2(u1_lattices(U_83),k2_zfmisc_1(u1_struct_0(U_83),u1_struct_0(U_83)),u1_struct_0(U_83))
& v1_funct_1(u1_lattices(U_83))
& v1_relat_1(u1_lattices(U_83)) )
| ~ l1_lattices(U_83)
| ~ v6_lattices(U_83)
| v3_struct_0(U_83) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
cnf(f_64_3,plain,
( v1_relat_1(u1_lattices(U_83))
| ~ l1_lattices(U_83)
| ~ v6_lattices(U_83)
| v3_struct_0(U_83) ),
inference(clausify,[status(thm)],[f_64_2]) ).
cnf(f_64_4,plain,
( v1_funct_1(u1_lattices(U_83))
| ~ l1_lattices(U_83)
| ~ v6_lattices(U_83)
| v3_struct_0(U_83) ),
inference(clausify,[status(thm)],[f_64_2]) ).
cnf(f_64_5,plain,
( v1_funct_2(u1_lattices(U_83),k2_zfmisc_1(u1_struct_0(U_83),u1_struct_0(U_83)),u1_struct_0(U_83))
| ~ l1_lattices(U_83)
| ~ v6_lattices(U_83)
| v3_struct_0(U_83) ),
inference(clausify,[status(thm)],[f_64_2]) ).
cnf(f_64_6,plain,
( v1_binop_1(u1_lattices(U_83),u1_struct_0(U_83))
| ~ l1_lattices(U_83)
| ~ v6_lattices(U_83)
| v3_struct_0(U_83) ),
inference(clausify,[status(thm)],[f_64_2]) ).
cnf(f_64_7,plain,
( v1_partfun1(u1_lattices(U_83),k2_zfmisc_1(u1_struct_0(U_83),u1_struct_0(U_83)),u1_struct_0(U_83))
| ~ l1_lattices(U_83)
| ~ v6_lattices(U_83)
| v3_struct_0(U_83) ),
inference(clausify,[status(thm)],[f_64_2]) ).
fof(f_65_1,plain,
! [A,B] :
( ~ v1_xboole_0(k2_zfmisc_1(A,B))
| v1_xboole_0(B)
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[fc4_subset_1]) ).
fof(f_65_2,plain,
! [U_85,U_84] :
( ~ v1_xboole_0(k2_zfmisc_1(U_85,U_84))
| v1_xboole_0(U_84)
| v1_xboole_0(U_85) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
cnf(f_65_3,plain,
( ~ v1_xboole_0(k2_zfmisc_1(U_85,U_84))
| v1_xboole_0(U_84)
| v1_xboole_0(U_85) ),
inference(clausify,[status(thm)],[f_65_2]) ).
fof(f_66_1,plain,
! [A] :
( ( v4_lattice3(k11_conlat_1(A))
& v10_lattices(k11_conlat_1(A))
& v9_lattices(k11_conlat_1(A))
& v8_lattices(k11_conlat_1(A))
& v7_lattices(k11_conlat_1(A))
& v6_lattices(k11_conlat_1(A))
& v5_lattices(k11_conlat_1(A))
& v4_lattices(k11_conlat_1(A))
& v3_lattices(k11_conlat_1(A))
& ~ v3_struct_0(k11_conlat_1(A)) )
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[fc5_conlat_1]) ).
fof(f_66_2,plain,
! [U_86] :
( ( v4_lattice3(k11_conlat_1(U_86))
& v10_lattices(k11_conlat_1(U_86))
& v9_lattices(k11_conlat_1(U_86))
& v8_lattices(k11_conlat_1(U_86))
& v7_lattices(k11_conlat_1(U_86))
& v6_lattices(k11_conlat_1(U_86))
& v5_lattices(k11_conlat_1(U_86))
& v4_lattices(k11_conlat_1(U_86))
& v3_lattices(k11_conlat_1(U_86))
& ~ v3_struct_0(k11_conlat_1(U_86)) )
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
cnf(f_66_3,plain,
( ~ v3_struct_0(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_4,plain,
( v3_lattices(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_5,plain,
( v4_lattices(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_6,plain,
( v5_lattices(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_7,plain,
( v6_lattices(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_8,plain,
( v7_lattices(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_9,plain,
( v8_lattices(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_10,plain,
( v9_lattices(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_11,plain,
( v10_lattices(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
cnf(f_66_12,plain,
( v4_lattice3(k11_conlat_1(U_86))
| ~ l2_conlat_1(U_86)
| v3_conlat_1(U_86) ),
inference(clausify,[status(thm)],[f_66_2]) ).
fof(f_67_1,plain,
! [A] :
( ( v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A))
& v1_relat_1(u1_lattices(A)) )
| ~ l1_lattices(A)
| ~ v7_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc5_lattice2]) ).
fof(f_67_2,plain,
! [U_87] :
( ( v1_partfun1(u1_lattices(U_87),k2_zfmisc_1(u1_struct_0(U_87),u1_struct_0(U_87)),u1_struct_0(U_87))
& v2_binop_1(u1_lattices(U_87),u1_struct_0(U_87))
& v1_funct_2(u1_lattices(U_87),k2_zfmisc_1(u1_struct_0(U_87),u1_struct_0(U_87)),u1_struct_0(U_87))
& v1_funct_1(u1_lattices(U_87))
& v1_relat_1(u1_lattices(U_87)) )
| ~ l1_lattices(U_87)
| ~ v7_lattices(U_87)
| v3_struct_0(U_87) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
cnf(f_67_3,plain,
( v1_relat_1(u1_lattices(U_87))
| ~ l1_lattices(U_87)
| ~ v7_lattices(U_87)
| v3_struct_0(U_87) ),
inference(clausify,[status(thm)],[f_67_2]) ).
cnf(f_67_4,plain,
( v1_funct_1(u1_lattices(U_87))
| ~ l1_lattices(U_87)
| ~ v7_lattices(U_87)
| v3_struct_0(U_87) ),
inference(clausify,[status(thm)],[f_67_2]) ).
cnf(f_67_5,plain,
( v1_funct_2(u1_lattices(U_87),k2_zfmisc_1(u1_struct_0(U_87),u1_struct_0(U_87)),u1_struct_0(U_87))
| ~ l1_lattices(U_87)
| ~ v7_lattices(U_87)
| v3_struct_0(U_87) ),
inference(clausify,[status(thm)],[f_67_2]) ).
cnf(f_67_6,plain,
( v2_binop_1(u1_lattices(U_87),u1_struct_0(U_87))
| ~ l1_lattices(U_87)
| ~ v7_lattices(U_87)
| v3_struct_0(U_87) ),
inference(clausify,[status(thm)],[f_67_2]) ).
cnf(f_67_7,plain,
( v1_partfun1(u1_lattices(U_87),k2_zfmisc_1(u1_struct_0(U_87),u1_struct_0(U_87)),u1_struct_0(U_87))
| ~ l1_lattices(U_87)
| ~ v7_lattices(U_87)
| v3_struct_0(U_87) ),
inference(clausify,[status(thm)],[f_67_2]) ).
fof(f_68_1,plain,
! [A] :
( ( v10_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc6_lattice2]) ).
fof(f_68_2,plain,
! [U_88] :
( ( v10_lattices(k1_lattice2(U_88))
& v9_lattices(k1_lattice2(U_88))
& v8_lattices(k1_lattice2(U_88))
& v7_lattices(k1_lattice2(U_88))
& v6_lattices(k1_lattice2(U_88))
& v5_lattices(k1_lattice2(U_88))
& v4_lattices(k1_lattice2(U_88))
& v3_lattices(k1_lattice2(U_88))
& ~ v3_struct_0(k1_lattice2(U_88)) )
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
cnf(f_68_3,plain,
( ~ v3_struct_0(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
cnf(f_68_4,plain,
( v3_lattices(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
cnf(f_68_5,plain,
( v4_lattices(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
cnf(f_68_6,plain,
( v5_lattices(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
cnf(f_68_7,plain,
( v6_lattices(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
cnf(f_68_8,plain,
( v7_lattices(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
cnf(f_68_9,plain,
( v8_lattices(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
cnf(f_68_10,plain,
( v9_lattices(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
cnf(f_68_11,plain,
( v10_lattices(k1_lattice2(U_88))
| ~ l3_lattices(U_88)
| ~ v10_lattices(U_88)
| v3_struct_0(U_88) ),
inference(clausify,[status(thm)],[f_68_2]) ).
fof(f_69_1,plain,
! [A,B,C] :
( ! [D,E,F] :
( ( C = F
& B = E
& A = D )
| g2_conlat_1(A,B,C) != g2_conlat_1(D,E,F) )
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[free_g2_conlat_1]) ).
fof(f_69_2,plain,
! [U_94,U_93,U_92] :
( ! [U_91,U_90,U_89] :
( ( U_92 = U_89
& U_93 = U_90
& U_94 = U_91 )
| g2_conlat_1(U_94,U_93,U_92) != g2_conlat_1(U_91,U_90,U_89) )
| ~ m1_relset_1(U_92,U_94,U_93) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
cnf(f_69_3,plain,
( U_94 = U_91
| g2_conlat_1(U_94,U_93,U_92) != g2_conlat_1(U_91,U_90,U_89)
| ~ m1_relset_1(U_92,U_94,U_93) ),
inference(clausify,[status(thm)],[f_69_2]) ).
cnf(f_69_4,plain,
( U_93 = U_90
| g2_conlat_1(U_94,U_93,U_92) != g2_conlat_1(U_91,U_90,U_89)
| ~ m1_relset_1(U_92,U_94,U_93) ),
inference(clausify,[status(thm)],[f_69_2]) ).
cnf(f_69_5,plain,
( U_92 = U_89
| g2_conlat_1(U_94,U_93,U_92) != g2_conlat_1(U_91,U_90,U_89)
| ~ m1_relset_1(U_92,U_94,U_93) ),
inference(clausify,[status(thm)],[f_69_2]) ).
fof(f_70_1,plain,
! [A,B,C] :
( ! [D,E,F] :
( ( C = F
& B = E
& A = D )
| g3_lattices(A,B,C) != g3_lattices(D,E,F) )
| ~ m1_relset_1(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(C,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(C)
| ~ m1_relset_1(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_2(B,k2_zfmisc_1(A,A),A)
| ~ v1_funct_1(B) ),
inference(fof_nnf,[status(thm)],[free_g3_lattices]) ).
fof(f_70_2,plain,
! [U_100,U_99,U_98] :
( ! [U_97,U_96,U_95] :
( ( U_98 = U_95
& U_99 = U_96
& U_100 = U_97 )
| g3_lattices(U_100,U_99,U_98) != g3_lattices(U_97,U_96,U_95) )
| ~ m1_relset_1(U_98,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_2(U_98,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_1(U_98)
| ~ m1_relset_1(U_99,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_2(U_99,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_1(U_99) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
cnf(f_70_3,plain,
( U_100 = U_97
| g3_lattices(U_100,U_99,U_98) != g3_lattices(U_97,U_96,U_95)
| ~ m1_relset_1(U_98,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_2(U_98,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_1(U_98)
| ~ m1_relset_1(U_99,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_2(U_99,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_1(U_99) ),
inference(clausify,[status(thm)],[f_70_2]) ).
cnf(f_70_4,plain,
( U_99 = U_96
| g3_lattices(U_100,U_99,U_98) != g3_lattices(U_97,U_96,U_95)
| ~ m1_relset_1(U_98,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_2(U_98,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_1(U_98)
| ~ m1_relset_1(U_99,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_2(U_99,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_1(U_99) ),
inference(clausify,[status(thm)],[f_70_2]) ).
cnf(f_70_5,plain,
( U_98 = U_95
| g3_lattices(U_100,U_99,U_98) != g3_lattices(U_97,U_96,U_95)
| ~ m1_relset_1(U_98,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_2(U_98,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_1(U_98)
| ~ m1_relset_1(U_99,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_2(U_99,k2_zfmisc_1(U_100,U_100),U_100)
| ~ v1_funct_1(U_99) ),
inference(clausify,[status(thm)],[f_70_2]) ).
fof(f_71_1,plain,
! [A] :
( k4_relat_1(k4_relat_1(A)) = A
| ~ v1_relat_1(A) ),
inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1]) ).
fof(f_71_2,plain,
! [U_101] :
( k4_relat_1(k4_relat_1(U_101)) = U_101
| ~ v1_relat_1(U_101) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
cnf(f_71_3,plain,
( k4_relat_1(k4_relat_1(U_101)) = U_101
| ~ v1_relat_1(U_101) ),
inference(clausify,[status(thm)],[f_71_2]) ).
fof(f_72_1,plain,
! [A,B,C] :
( k6_relset_1(A,B,k6_relset_1(A,B,C)) = C
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[involutiveness_k6_relset_1]) ).
fof(f_72_2,plain,
! [U_104,U_103,U_102] :
( k6_relset_1(U_104,U_103,k6_relset_1(U_104,U_103,U_102)) = U_102
| ~ m1_relset_1(U_102,U_104,U_103) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
cnf(f_72_3,plain,
( k6_relset_1(U_104,U_103,k6_relset_1(U_104,U_103,U_102)) = U_102
| ~ m1_relset_1(U_102,U_104,U_103) ),
inference(clausify,[status(thm)],[f_72_2]) ).
fof(f_73_1,plain,
? [A] :
( v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc11_lattices]) ).
fof(f_73_2,plain,
? [U_105] :
( v15_lattices(U_105)
& v14_lattices(U_105)
& v13_lattices(U_105)
& v10_lattices(U_105)
& v9_lattices(U_105)
& v8_lattices(U_105)
& v7_lattices(U_105)
& v6_lattices(U_105)
& v5_lattices(U_105)
& v4_lattices(U_105)
& v3_lattices(U_105)
& ~ v3_struct_0(U_105)
& l3_lattices(U_105) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
( v15_lattices(sK13)
& v14_lattices(sK13)
& v13_lattices(sK13)
& v10_lattices(sK13)
& v9_lattices(sK13)
& v8_lattices(sK13)
& v7_lattices(sK13)
& v6_lattices(sK13)
& v5_lattices(sK13)
& v4_lattices(sK13)
& v3_lattices(sK13)
& ~ v3_struct_0(sK13)
& l3_lattices(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_105,sK13)],[f_73_2]) ).
cnf(f_73_4,plain,
l3_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_5,plain,
~ v3_struct_0(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_6,plain,
v3_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_7,plain,
v4_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_8,plain,
v5_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_9,plain,
v6_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_10,plain,
v7_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_11,plain,
v8_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_12,plain,
v9_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_13,plain,
v10_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_14,plain,
v13_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_15,plain,
v14_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
cnf(f_73_16,plain,
v15_lattices(sK13),
inference(clausify,[status(thm)],[f_73_3]) ).
fof(f_74_1,plain,
! [A,B] :
? [C] :
( v1_funct_2(C,A,B)
& v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[rc1_funct_2]) ).
fof(f_74_2,plain,
! [U_108,U_107] :
? [U_106] :
( v1_funct_2(U_106,U_108,U_107)
& v1_funct_1(U_106)
& v1_relat_1(U_106)
& m1_relset_1(U_106,U_108,U_107) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
! [U_108,U_107] :
( v1_funct_2(sK14(U_108,U_107),U_108,U_107)
& v1_funct_1(sK14(U_108,U_107))
& v1_relat_1(sK14(U_108,U_107))
& m1_relset_1(sK14(U_108,U_107),U_108,U_107) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_106,sK14(U_108,U_107))],[f_74_2]) ).
cnf(f_74_4,plain,
m1_relset_1(sK14(U_108,U_107),U_108,U_107),
inference(clausify,[status(thm)],[f_74_3]) ).
cnf(f_74_5,plain,
v1_relat_1(sK14(U_108,U_107)),
inference(clausify,[status(thm)],[f_74_3]) ).
cnf(f_74_6,plain,
v1_funct_1(sK14(U_108,U_107)),
inference(clausify,[status(thm)],[f_74_3]) ).
cnf(f_74_7,plain,
v1_funct_2(sK14(U_108,U_107),U_108,U_107),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) )
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[rc1_subset_1]) ).
fof(f_75_2,plain,
! [U_110] :
( ? [U_109] :
( ~ v1_xboole_0(U_109)
& m1_subset_1(U_109,k1_zfmisc_1(U_110)) )
| v1_xboole_0(U_110) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
! [U_110] :
( ( ~ v1_xboole_0(sK15(U_110))
& m1_subset_1(sK15(U_110),k1_zfmisc_1(U_110)) )
| v1_xboole_0(U_110) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_109,sK15(U_110))],[f_75_2]) ).
cnf(f_75_4,plain,
( m1_subset_1(sK15(U_110),k1_zfmisc_1(U_110))
| v1_xboole_0(U_110) ),
inference(clausify,[status(thm)],[f_75_3]) ).
cnf(f_75_5,plain,
( ~ v1_xboole_0(sK15(U_110))
| v1_xboole_0(U_110) ),
inference(clausify,[status(thm)],[f_75_3]) ).
fof(f_76_1,plain,
? [A] : v1_xboole_0(A),
inference(fof_nnf,[status(thm)],[rc1_xboole_0]) ).
fof(f_76_2,plain,
? [U_111] : v1_xboole_0(U_111),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
v1_xboole_0(sK16),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_111,sK16)],[f_76_2]) ).
cnf(f_76_4,plain,
v1_xboole_0(sK16),
inference(clausify,[status(thm)],[f_76_3]) ).
fof(f_77_1,plain,
! [A,B] :
? [C] :
( v1_funct_1(C)
& v1_relat_1(C)
& m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[rc2_partfun1]) ).
fof(f_77_2,plain,
! [U_114,U_113] :
? [U_112] :
( v1_funct_1(U_112)
& v1_relat_1(U_112)
& m1_relset_1(U_112,U_114,U_113) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
! [U_114,U_113] :
( v1_funct_1(sK17(U_114,U_113))
& v1_relat_1(sK17(U_114,U_113))
& m1_relset_1(sK17(U_114,U_113),U_114,U_113) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_112,sK17(U_114,U_113))],[f_77_2]) ).
cnf(f_77_4,plain,
m1_relset_1(sK17(U_114,U_113),U_114,U_113),
inference(clausify,[status(thm)],[f_77_3]) ).
cnf(f_77_5,plain,
v1_relat_1(sK17(U_114,U_113)),
inference(clausify,[status(thm)],[f_77_3]) ).
cnf(f_77_6,plain,
v1_funct_1(sK17(U_114,U_113)),
inference(clausify,[status(thm)],[f_77_3]) ).
fof(f_78_1,plain,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[rc2_subset_1]) ).
fof(f_78_2,plain,
! [U_116] :
? [U_115] :
( v1_xboole_0(U_115)
& m1_subset_1(U_115,k1_zfmisc_1(U_116)) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
! [U_116] :
( v1_xboole_0(sK18(U_116))
& m1_subset_1(sK18(U_116),k1_zfmisc_1(U_116)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_115,sK18(U_116))],[f_78_2]) ).
cnf(f_78_4,plain,
m1_subset_1(sK18(U_116),k1_zfmisc_1(U_116)),
inference(clausify,[status(thm)],[f_78_3]) ).
cnf(f_78_5,plain,
v1_xboole_0(sK18(U_116)),
inference(clausify,[status(thm)],[f_78_3]) ).
fof(f_79_1,plain,
? [A] : ~ v1_xboole_0(A),
inference(fof_nnf,[status(thm)],[rc2_xboole_0]) ).
fof(f_79_2,plain,
? [U_117] : ~ v1_xboole_0(U_117),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
~ v1_xboole_0(sK19),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_117,sK19)],[f_79_2]) ).
cnf(f_79_4,plain,
~ v1_xboole_0(sK19),
inference(clausify,[status(thm)],[f_79_3]) ).
fof(f_80_1,plain,
? [A] :
( v3_lattices(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc3_lattices]) ).
fof(f_80_2,plain,
? [U_118] :
( v3_lattices(U_118)
& l3_lattices(U_118) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
( v3_lattices(sK20)
& l3_lattices(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_118,sK20)],[f_80_2]) ).
cnf(f_80_4,plain,
l3_lattices(sK20),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_5,plain,
v3_lattices(sK20),
inference(clausify,[status(thm)],[f_80_3]) ).
fof(f_81_1,plain,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
inference(fof_nnf,[status(thm)],[rc3_struct_0]) ).
fof(f_81_2,plain,
? [U_119] :
( ~ v3_struct_0(U_119)
& l1_struct_0(U_119) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
( ~ v3_struct_0(sK21)
& l1_struct_0(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_119,sK21)],[f_81_2]) ).
cnf(f_81_4,plain,
l1_struct_0(sK21),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_5,plain,
~ v3_struct_0(sK21),
inference(clausify,[status(thm)],[f_81_3]) ).
fof(f_82_1,plain,
? [A] :
( v4_conlat_1(A)
& l2_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[rc5_conlat_1]) ).
fof(f_82_2,plain,
? [U_120] :
( v4_conlat_1(U_120)
& l2_conlat_1(U_120) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
( v4_conlat_1(sK22)
& l2_conlat_1(sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_120,sK22)],[f_82_2]) ).
cnf(f_82_4,plain,
l2_conlat_1(sK22),
inference(clausify,[status(thm)],[f_82_3]) ).
cnf(f_82_5,plain,
v4_conlat_1(sK22),
inference(clausify,[status(thm)],[f_82_3]) ).
fof(f_83_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_83_2,plain,
! [U_122] :
( ? [U_121] :
( ~ v1_xboole_0(U_121)
& m1_subset_1(U_121,k1_zfmisc_1(u1_struct_0(U_122))) )
| ~ l1_struct_0(U_122)
| v3_struct_0(U_122) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
! [U_122] :
( ( ~ v1_xboole_0(sK23(U_122))
& m1_subset_1(sK23(U_122),k1_zfmisc_1(u1_struct_0(U_122))) )
| ~ l1_struct_0(U_122)
| v3_struct_0(U_122) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_121,sK23(U_122))],[f_83_2]) ).
cnf(f_83_4,plain,
( m1_subset_1(sK23(U_122),k1_zfmisc_1(u1_struct_0(U_122)))
| ~ l1_struct_0(U_122)
| v3_struct_0(U_122) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_5,plain,
( ~ v1_xboole_0(sK23(U_122))
| ~ l1_struct_0(U_122)
| v3_struct_0(U_122) ),
inference(clausify,[status(thm)],[f_83_3]) ).
fof(f_84_1,plain,
? [A] :
( v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc6_lattices]) ).
fof(f_84_2,plain,
? [U_123] :
( v3_lattices(U_123)
& ~ v3_struct_0(U_123)
& l3_lattices(U_123) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
( v3_lattices(sK24)
& ~ v3_struct_0(sK24)
& l3_lattices(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_123,sK24)],[f_84_2]) ).
cnf(f_84_4,plain,
l3_lattices(sK24),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_5,plain,
~ v3_struct_0(sK24),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_6,plain,
v3_lattices(sK24),
inference(clausify,[status(thm)],[f_84_3]) ).
fof(f_85_1,plain,
? [A] :
( v4_conlat_1(A)
& ~ v3_conlat_1(A)
& l2_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[rc7_conlat_1]) ).
fof(f_85_2,plain,
? [U_124] :
( v4_conlat_1(U_124)
& ~ v3_conlat_1(U_124)
& l2_conlat_1(U_124) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
( v4_conlat_1(sK25)
& ~ v3_conlat_1(sK25)
& l2_conlat_1(sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_124,sK25)],[f_85_2]) ).
cnf(f_85_4,plain,
l2_conlat_1(sK25),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_5,plain,
~ v3_conlat_1(sK25),
inference(clausify,[status(thm)],[f_85_3]) ).
cnf(f_85_6,plain,
v4_conlat_1(sK25),
inference(clausify,[status(thm)],[f_85_3]) ).
fof(f_86_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) )
| ~ l1_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[rc8_conlat_1]) ).
fof(f_86_2,plain,
! [U_126] :
( ? [U_125] :
( ~ v1_xboole_0(U_125)
& m1_subset_1(U_125,k1_zfmisc_1(u1_conlat_1(U_126))) )
| ~ l1_conlat_1(U_126)
| v3_conlat_1(U_126) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
! [U_126] :
( ( ~ v1_xboole_0(sK26(U_126))
& m1_subset_1(sK26(U_126),k1_zfmisc_1(u1_conlat_1(U_126))) )
| ~ l1_conlat_1(U_126)
| v3_conlat_1(U_126) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_125,sK26(U_126))],[f_86_2]) ).
cnf(f_86_4,plain,
( m1_subset_1(sK26(U_126),k1_zfmisc_1(u1_conlat_1(U_126)))
| ~ l1_conlat_1(U_126)
| v3_conlat_1(U_126) ),
inference(clausify,[status(thm)],[f_86_3]) ).
cnf(f_86_5,plain,
( ~ v1_xboole_0(sK26(U_126))
| ~ l1_conlat_1(U_126)
| v3_conlat_1(U_126) ),
inference(clausify,[status(thm)],[f_86_3]) ).
fof(f_87_1,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(A))) )
| ~ l1_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[rc9_conlat_1]) ).
fof(f_87_2,plain,
! [U_128] :
( ? [U_127] :
( ~ v1_xboole_0(U_127)
& m1_subset_1(U_127,k1_zfmisc_1(u2_conlat_1(U_128))) )
| ~ l1_conlat_1(U_128)
| v3_conlat_1(U_128) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
! [U_128] :
( ( ~ v1_xboole_0(sK27(U_128))
& m1_subset_1(sK27(U_128),k1_zfmisc_1(u2_conlat_1(U_128))) )
| ~ l1_conlat_1(U_128)
| v3_conlat_1(U_128) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_127,sK27(U_128))],[f_87_2]) ).
cnf(f_87_4,plain,
( m1_subset_1(sK27(U_128),k1_zfmisc_1(u2_conlat_1(U_128)))
| ~ l1_conlat_1(U_128)
| v3_conlat_1(U_128) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_5,plain,
( ~ v1_xboole_0(sK27(U_128))
| ~ l1_conlat_1(U_128)
| v3_conlat_1(U_128) ),
inference(clausify,[status(thm)],[f_87_3]) ).
fof(f_88_1,plain,
? [A] :
( v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
inference(fof_nnf,[status(thm)],[rc9_lattices]) ).
fof(f_88_2,plain,
? [U_129] :
( v10_lattices(U_129)
& v9_lattices(U_129)
& v8_lattices(U_129)
& v7_lattices(U_129)
& v6_lattices(U_129)
& v5_lattices(U_129)
& v4_lattices(U_129)
& v3_lattices(U_129)
& ~ v3_struct_0(U_129)
& l3_lattices(U_129) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
( v10_lattices(sK28)
& v9_lattices(sK28)
& v8_lattices(sK28)
& v7_lattices(sK28)
& v6_lattices(sK28)
& v5_lattices(sK28)
& v4_lattices(sK28)
& v3_lattices(sK28)
& ~ v3_struct_0(sK28)
& l3_lattices(sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_129,sK28)],[f_88_2]) ).
cnf(f_88_4,plain,
l3_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_5,plain,
~ v3_struct_0(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_6,plain,
v3_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_7,plain,
v4_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_8,plain,
v5_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_9,plain,
v6_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_10,plain,
v7_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_11,plain,
v8_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_12,plain,
v9_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_13,plain,
v10_lattices(sK28),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_1,plain,
! [A,B,C] :
( k6_relset_1(A,B,C) = k4_relat_1(C)
| ~ m1_relset_1(C,A,B) ),
inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1]) ).
fof(f_89_2,plain,
! [U_132,U_131,U_130] :
( k6_relset_1(U_132,U_131,U_130) = k4_relat_1(U_130)
| ~ m1_relset_1(U_130,U_132,U_131) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
cnf(f_89_3,plain,
( k6_relset_1(U_132,U_131,U_130) = k4_relat_1(U_130)
| ~ m1_relset_1(U_130,U_132,U_131) ),
inference(clausify,[status(thm)],[f_89_2]) ).
fof(f_90_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_90_2,plain,
! [U_135,U_134,U_133] :
( ( m2_relset_1(U_133,U_135,U_134)
| ~ m1_relset_1(U_133,U_135,U_134) )
& ( m1_relset_1(U_133,U_135,U_134)
| ~ m2_relset_1(U_133,U_135,U_134) ) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
( ! [U_141,U_139,U_137] :
( m2_relset_1(U_137,U_141,U_139)
| ~ m1_relset_1(U_137,U_141,U_139) )
& ! [U_140,U_138,U_136] :
( m1_relset_1(U_136,U_140,U_138)
| ~ m2_relset_1(U_136,U_140,U_138) ) ),
inference(miniscope,[status(thm)],[f_90_2]) ).
cnf(f_90_4,plain,
( m1_relset_1(U_136,U_140,U_138)
| ~ m2_relset_1(U_136,U_140,U_138) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_5,plain,
( m2_relset_1(U_137,U_141,U_139)
| ~ m1_relset_1(U_137,U_141,U_139) ),
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
! [A,B] :
( r1_filter_1(A,A)
| ~ l3_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[reflexivity_r1_filter_1]) ).
fof(f_91_2,plain,
! [U_143,U_142] :
( r1_filter_1(U_143,U_143)
| ~ l3_lattices(U_142)
| ~ v10_lattices(U_142)
| v3_struct_0(U_142)
| ~ l3_lattices(U_143)
| ~ v10_lattices(U_143)
| v3_struct_0(U_143) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
! [U_143] :
( ! [U_142] :
( ~ l3_lattices(U_142)
| ~ v10_lattices(U_142)
| v3_struct_0(U_142) )
| ~ l3_lattices(U_143)
| ~ v10_lattices(U_143)
| v3_struct_0(U_143)
| r1_filter_1(U_143,U_143) ),
inference(miniscope,[status(thm)],[f_91_2]) ).
cnf(f_91_4,plain,
( ~ l3_lattices(U_142)
| ~ v10_lattices(U_142)
| v3_struct_0(U_142)
| ~ l3_lattices(U_143)
| ~ v10_lattices(U_143)
| v3_struct_0(U_143)
| r1_filter_1(U_143,U_143) ),
inference(clausify,[status(thm)],[f_91_3]) ).
fof(f_92_1,plain,
! [A,B] : r1_tarski(A,A),
inference(fof_nnf,[status(thm)],[reflexivity_r1_tarski]) ).
fof(f_92_2,plain,
! [U_145,U_144] : r1_tarski(U_145,U_145),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
! [U_145] : r1_tarski(U_145,U_145),
inference(miniscope,[status(thm)],[f_92_2]) ).
cnf(f_92_4,plain,
r1_tarski(U_145,U_145),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [A,B] :
( r1_filter_1(B,A)
| ~ r1_filter_1(A,B)
| ~ l3_lattices(B)
| ~ v10_lattices(B)
| v3_struct_0(B)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[symmetry_r1_filter_1]) ).
fof(f_93_2,plain,
! [U_147,U_146] :
( r1_filter_1(U_146,U_147)
| ~ r1_filter_1(U_147,U_146)
| ~ l3_lattices(U_146)
| ~ v10_lattices(U_146)
| v3_struct_0(U_146)
| ~ l3_lattices(U_147)
| ~ v10_lattices(U_147)
| v3_struct_0(U_147) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
cnf(f_93_3,plain,
( r1_filter_1(U_146,U_147)
| ~ r1_filter_1(U_147,U_146)
| ~ l3_lattices(U_146)
| ~ v10_lattices(U_146)
| v3_struct_0(U_146)
| ~ l3_lattices(U_147)
| ~ v10_lattices(U_147)
| v3_struct_0(U_147) ),
inference(clausify,[status(thm)],[f_93_2]) ).
fof(f_94_1,plain,
! [A,B] :
( m1_subset_1(A,B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t1_subset]) ).
fof(f_94_2,plain,
! [U_149,U_148] :
( m1_subset_1(U_149,U_148)
| ~ r2_hidden(U_149,U_148) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
cnf(f_94_3,plain,
( m1_subset_1(U_149,U_148)
| ~ r2_hidden(U_149,U_148) ),
inference(clausify,[status(thm)],[f_94_2]) ).
fof(f_95_1,plain,
! [A] :
( v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A)))
| ~ l2_conlat_1(A)
| v3_conlat_1(A) ),
inference(fof_nnf,[status(thm)],[t21_conlat_2]) ).
fof(f_95_2,plain,
! [U_150] :
( v3_lattice4(k10_conlat_2(U_150),k1_lattice2(k11_conlat_1(U_150)),k11_conlat_1(k7_conlat_2(U_150)))
| ~ l2_conlat_1(U_150)
| v3_conlat_1(U_150) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
cnf(f_95_3,plain,
( v3_lattice4(k10_conlat_2(U_150),k1_lattice2(k11_conlat_1(U_150)),k11_conlat_1(k7_conlat_2(U_150)))
| ~ l2_conlat_1(U_150)
| v3_conlat_1(U_150) ),
inference(clausify,[status(thm)],[f_95_2]) ).
fof(f_96_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_96_2,plain,
! [U_152,U_151] :
( r2_hidden(U_152,U_151)
| v1_xboole_0(U_151)
| ~ m1_subset_1(U_152,U_151) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
cnf(f_96_3,plain,
( r2_hidden(U_152,U_151)
| v1_xboole_0(U_151)
| ~ m1_subset_1(U_152,U_151) ),
inference(clausify,[status(thm)],[f_96_2]) ).
fof(f_97_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_97_2,plain,
! [U_154,U_153] :
( ( m1_subset_1(U_154,k1_zfmisc_1(U_153))
| ~ r1_tarski(U_154,U_153) )
& ( r1_tarski(U_154,U_153)
| ~ m1_subset_1(U_154,k1_zfmisc_1(U_153)) ) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
( ! [U_158,U_156] :
( m1_subset_1(U_158,k1_zfmisc_1(U_156))
| ~ r1_tarski(U_158,U_156) )
& ! [U_157,U_155] :
( r1_tarski(U_157,U_155)
| ~ m1_subset_1(U_157,k1_zfmisc_1(U_155)) ) ),
inference(miniscope,[status(thm)],[f_97_2]) ).
cnf(f_97_4,plain,
( r1_tarski(U_157,U_155)
| ~ m1_subset_1(U_157,k1_zfmisc_1(U_155)) ),
inference(clausify,[status(thm)],[f_97_3]) ).
cnf(f_97_5,plain,
( m1_subset_1(U_158,k1_zfmisc_1(U_156))
| ~ r1_tarski(U_158,U_156) ),
inference(clausify,[status(thm)],[f_97_3]) ).
fof(f_98_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_98_2,plain,
! [U_161,U_160,U_159] :
( m1_subset_1(U_161,U_159)
| ~ m1_subset_1(U_160,k1_zfmisc_1(U_159))
| ~ r2_hidden(U_161,U_160) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
cnf(f_98_3,plain,
( m1_subset_1(U_161,U_159)
| ~ m1_subset_1(U_160,k1_zfmisc_1(U_159))
| ~ r2_hidden(U_161,U_160) ),
inference(clausify,[status(thm)],[f_98_2]) ).
fof(f_99_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_99_2,plain,
! [U_164,U_163,U_162] :
( ~ v1_xboole_0(U_162)
| ~ m1_subset_1(U_163,k1_zfmisc_1(U_162))
| ~ r2_hidden(U_164,U_163) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
! [U_164,U_163] :
( ! [U_162] :
( ~ v1_xboole_0(U_162)
| ~ m1_subset_1(U_163,k1_zfmisc_1(U_162)) )
| ~ r2_hidden(U_164,U_163) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
cnf(f_99_4,plain,
( ~ v1_xboole_0(U_162)
| ~ m1_subset_1(U_163,k1_zfmisc_1(U_162))
| ~ r2_hidden(U_164,U_163) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [A] :
( A = k1_xboole_0
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t6_boole]) ).
fof(f_100_2,plain,
! [U_165] :
( U_165 = k1_xboole_0
| ~ v1_xboole_0(U_165) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
cnf(f_100_3,plain,
( U_165 = k1_xboole_0
| ~ v1_xboole_0(U_165) ),
inference(clausify,[status(thm)],[f_100_2]) ).
fof(f_101_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| ~ r2_hidden(A,B) ),
inference(fof_nnf,[status(thm)],[t7_boole]) ).
fof(f_101_2,plain,
! [U_167,U_166] :
( ~ v1_xboole_0(U_166)
| ~ r2_hidden(U_167,U_166) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
cnf(f_101_3,plain,
( ~ v1_xboole_0(U_166)
| ~ r2_hidden(U_167,U_166) ),
inference(clausify,[status(thm)],[f_101_2]) ).
fof(f_102_1,plain,
! [A,B] :
( ~ v1_xboole_0(B)
| A = B
| ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[t8_boole]) ).
fof(f_102_2,plain,
! [U_169,U_168] :
( ~ v1_xboole_0(U_168)
| U_169 = U_168
| ~ v1_xboole_0(U_169) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
! [U_169] :
( ! [U_168] :
( ~ v1_xboole_0(U_168)
| U_169 = U_168 )
| ~ v1_xboole_0(U_169) ),
inference(miniscope,[status(thm)],[f_102_2]) ).
cnf(f_102_4,plain,
( ~ v1_xboole_0(U_168)
| U_169 = U_168
| ~ v1_xboole_0(U_169) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_5_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_5_3]) ).
cnf(f_6_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_6_3]) ).
cnf(f_8_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_8_3]) ).
cnf(f_9_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_9_3]) ).
cnf(f_10_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_3]) ).
cnf(f_11_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_11_3]) ).
cnf(f_11_5_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_11_5]) ).
cnf(f_12_3_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_3]) ).
cnf(f_12_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_12_6]) ).
cnf(f_20_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_20_2]) ).
cnf(f_21_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_21_2]) ).
cnf(f_22_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_22_2]) ).
cnf(f_26_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_26_2]) ).
cnf(f_28_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_28_2]) ).
cnf(f_33_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_33_2]) ).
cnf(f_34_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_34_2]) ).
cnf(f_36_2_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_36_2]) ).
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(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,
( k7_conlat_2(Eq_x_0) = k7_conlat_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( k11_conlat_1(Eq_x_0) = k11_conlat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( k1_lattice2(Eq_x_0) = k1_lattice2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,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_8,axiom,
( u2_lattices(Eq_x_0) = u2_lattices(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( u1_lattices(Eq_x_0) = u1_lattices(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,axiom,
( g3_lattices(Eq_x_0,Eq_x_1,Eq_x_2) = g3_lattices(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,
( u1_conlat_1(Eq_x_0) = u1_conlat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_12,axiom,
( u2_conlat_1(Eq_x_0) = u2_conlat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_13,axiom,
( u3_conlat_1(Eq_x_0) = u3_conlat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_14,axiom,
( g2_conlat_1(Eq_x_0,Eq_x_1,Eq_x_2) = g2_conlat_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_15,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_16,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_17,axiom,
( k6_relset_1(Eq_x_0,Eq_x_1,Eq_x_2) = k6_relset_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_18,axiom,
( k10_conlat_2(Eq_x_0) = k10_conlat_2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_19,axiom,
( k4_relat_1(Eq_x_0) = k4_relat_1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_20,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_21,axiom,
( sK9(Eq_x_0,Eq_x_1) = sK9(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_22,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_23,axiom,
( sK11(Eq_x_0) = sK11(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_24,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_25,axiom,
( sK14(Eq_x_0,Eq_x_1) = sK14(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_26,axiom,
( sK15(Eq_x_0) = sK15(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_27,axiom,
( sK17(Eq_x_0,Eq_x_1) = sK17(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_28,axiom,
( sK18(Eq_x_0) = sK18(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_29,axiom,
( sK23(Eq_x_0) = sK23(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_30,axiom,
( sK26(Eq_x_0) = sK26(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_31,axiom,
( sK27(Eq_x_0) = sK27(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_32,axiom,
( v3_conlat_1(Eq_y_0)
| ~ v3_conlat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_33,axiom,
( l2_conlat_1(Eq_y_0)
| ~ l2_conlat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_34,axiom,
( r1_filter_1(Eq_y_0,Eq_y_1)
| ~ r1_filter_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_35,axiom,
( l3_lattices(Eq_y_0)
| ~ l3_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_36,axiom,
( v3_lattices(Eq_y_0)
| ~ v3_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_37,axiom,
( v4_conlat_1(Eq_y_0)
| ~ v4_conlat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_38,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_39,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_40,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_41,axiom,
( v1_partfun1(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_partfun1(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_42,axiom,
( v1_funct_2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v1_funct_2(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_43,axiom,
( v3_struct_0(Eq_y_0)
| ~ v3_struct_0(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_44,axiom,
( v10_lattices(Eq_y_0)
| ~ v10_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_45,axiom,
( v4_lattices(Eq_y_0)
| ~ v4_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_46,axiom,
( v5_lattices(Eq_y_0)
| ~ v5_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_47,axiom,
( v6_lattices(Eq_y_0)
| ~ v6_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_48,axiom,
( v7_lattices(Eq_y_0)
| ~ v7_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_49,axiom,
( v8_lattices(Eq_y_0)
| ~ v8_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_50,axiom,
( v9_lattices(Eq_y_0)
| ~ v9_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_51,axiom,
( m1_subset_1(Eq_y_0,Eq_y_1)
| ~ m1_subset_1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_52,axiom,
( v1_relat_1(Eq_y_0)
| ~ v1_relat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_53,axiom,
( v13_lattices(Eq_y_0)
| ~ v13_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_54,axiom,
( v14_lattices(Eq_y_0)
| ~ v14_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_55,axiom,
( v15_lattices(Eq_y_0)
| ~ v15_lattices(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,
( m1_lattice4(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ m1_lattice4(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_58,axiom,
( v3_lattice4(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ v3_lattice4(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_59,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_60,axiom,
( l1_lattices(Eq_y_0)
| ~ l1_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_61,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_62,axiom,
( l1_conlat_1(Eq_y_0)
| ~ l1_conlat_1(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_63,axiom,
( l2_lattices(Eq_y_0)
| ~ l2_lattices(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_64,axiom,
( v4_lattice3(Eq_y_0)
| ~ v4_lattice3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_65,axiom,
( v1_binop_1(Eq_y_0,Eq_y_1)
| ~ v1_binop_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_66,axiom,
( v2_binop_1(Eq_y_0,Eq_y_1)
| ~ v2_binop_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_67,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 : LAT346+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
% 0.12/0.36 % Computer : n010.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sat Sep 19 13:32:53 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.96/1.29 % SZS status Theorem for theBenchmark
% 0.96/1.29 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------