%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 : Fri Sep 25 01:59:21 PM UTC 2026
% Result : Theorem 11.06s 2.89s
% Output : CNFRefutation 14.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f469ERROR: Could not build tree for root c_18694ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( k23_filter_2(X0,k1_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
& k23_filter_2(X0,k17_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( k23_filter_2(X0,k1_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
& k23_filter_2(X0,k17_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f5,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f6,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f10,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X0)
=> ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_filter_2) ).
fof(f11,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( ( X1 = k1_xboole_0
=> ( ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| X0 = k1_xboole_0 ) )
& ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f12,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f13,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_realset1) ).
fof(f14,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f16,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k17_filter_2(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(f17,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(k1_filter_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_0) ).
fof(f18,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_2(k1_filter_2(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_2) ).
fof(f23,axiom,
! [X0,X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_nat_lat(k23_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k23_filter_2) ).
fof(f25,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m1_subset_1(k4_relset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relset_1) ).
fof(f26,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k7_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k8_relset_1(X0,X1,X2,X3),X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_1) ).
fof(f28,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f30,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f32,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f33,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_2) ).
fof(f36,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f37,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f38,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_nat_lat(X1,X0)
=> ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_nat_lat) ).
fof(f39,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f40,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f42,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f43,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).
fof(f44,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f45,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).
fof(f46,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).
fof(f47,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_filter_0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_filter_0) ).
fof(f48,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_filter_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_filter_2) ).
fof(f49,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f50,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f51,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m2_filter_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_filter_2) ).
fof(f52,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m2_lattice4(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_lattice4) ).
fof(f53,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m2_nat_lat(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_nat_lat) ).
fof(f54,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f55,axiom,
! [X0,X1] :
( v1_relat_1(X0)
=> v1_relat_1(k1_realset1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_realset1) ).
fof(f56,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f57,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f58,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f59,axiom,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(f60,axiom,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_realset1) ).
fof(f61,axiom,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattice2) ).
fof(f62,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattices) ).
fof(f63,axiom,
! [X0,X1] :
( ( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f64,axiom,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(f65,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f66,axiom,
! [X0,X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).
fof(f67,axiom,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_lattice2) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f69,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f70,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_lattice4) ).
fof(f71,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v10_lattices(X1)
& v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& v3_lattices(X1)
& ~ v3_struct_0(X1)
& m2_nat_lat(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_nat_lat) ).
fof(f72,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f73,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f74,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f75,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f76,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f77,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f78,axiom,
? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_lattices) ).
fof(f79,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f80,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f81,axiom,
? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_lattices) ).
fof(f82,axiom,
? [X0] :
( v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_lattices) ).
fof(f83,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k1_filter_2(X0) = k1_filter_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(f84,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f85,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k8_relset_1(X0,X1,X2,X3) = k7_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_relset_1) ).
fof(f86,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f87,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f88,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> r1_filter_2(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_filter_2) ).
fof(f90,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f91,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> ( r1_filter_2(X0,X1,X2)
=> r1_filter_2(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_2) ).
fof(f92,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f93,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f94,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f95,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f96,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f97,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f98,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f99,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f100,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k1_relat_1(X1),X0)
=> k7_relat_1(X1,X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_relat_1) ).
fof(f101,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f90]) ).
fof(f102,plain,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f67]) ).
fof(f103,plain,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f61]) ).
fof(f104,plain,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f102]) ).
fof(f106,plain,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f107,plain,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f59]) ).
fof(f108,plain,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f106]) ).
fof(f110,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f77]) ).
fof(f112,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k1_filter_2(X0))
| k23_filter_2(X0,k17_filter_2(X0)) != g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f113,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k1_filter_2(X0))
| k23_filter_2(X0,k17_filter_2(X0)) != g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f115,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f117,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f118,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f119,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f125,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_nat_lat(X2,X0)
| ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f126,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_nat_lat(X2,X0)
| ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ) ) ) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ( ( k1_xboole_0 != X1
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| X0 = k1_xboole_0 )
& ( ( X1 = k1_xboole_0
& k1_xboole_0 != X0 )
| ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ( ( k1_xboole_0 != X1
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| X0 = k1_xboole_0 )
& ( ( X1 = k1_xboole_0
& k1_xboole_0 != X0 )
| ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) ) ) ) ),
inference(flattening,[],[f127]) ).
fof(f129,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f130,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = u1_struct_0(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ~ v1_relat_1(X0)
| ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f132,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f133,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f137,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k1_filter_0(X0),X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f139,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k1_filter_0(X0),X0) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f141,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_nat_lat(k23_filter_2(X0,X1),X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f143,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_nat_lat(k23_filter_2(X0,X1),X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| m1_subset_1(k4_relset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f145,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k7_relat_1(X0,X1)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k8_relset_1(X0,X1,X2,X3),X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f147,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f148,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f149,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f150,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f151,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_2(X1,X0)
| ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f153,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_2(X1,X0)
| ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f155,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f157,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_nat_lat(X1,X0)
| ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f159,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_nat_lat(X1,X0)
| ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f161,plain,
! [X0] :
( ~ l1_lattices(X0)
| ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f162,plain,
! [X0] :
( ~ l2_lattices(X0)
| ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f163,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f164,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(flattening,[],[f163]) ).
fof(f165,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f166,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_2(X1,X0) ),
inference(flattening,[],[f165]) ).
fof(f167,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f168,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_filter_2(X1,X0) ),
inference(flattening,[],[f167]) ).
fof(f169,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f170,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_lattice4(X1,X0) ),
inference(flattening,[],[f169]) ).
fof(f171,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_nat_lat(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f172,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_nat_lat(X1,X0) ),
inference(flattening,[],[f171]) ).
fof(f173,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k1_realset1(X0,X1)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f174,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f175,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f177,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(flattening,[],[f176]) ).
fof(f178,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f179,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k1_realset1(X0,X1))
& v1_relat_1(k1_realset1(X0,X1)) ) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f181,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
inference(flattening,[],[f182]) ).
fof(f184,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f185,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| ( v1_funct_1(k7_relat_1(X0,X1))
& v1_relat_1(k7_relat_1(X0,X1)) ) ),
inference(flattening,[],[f184]) ).
fof(f186,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f187,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f189,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1)) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f191,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1)) ) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f105]) ).
fof(f193,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f197,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( v10_lattices(X1)
& v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& v3_lattices(X1)
& ~ v3_struct_0(X1)
& m2_nat_lat(X1,X0) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f199,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( v10_lattices(X1)
& v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& v3_lattices(X1)
& ~ v3_struct_0(X1)
& m2_nat_lat(X1,X0) ) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f201,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f202,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f201]) ).
fof(f203,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_2(X0) = k1_filter_0(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f204,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_2(X0) = k1_filter_0(X0) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
inference(ennf_transformation,[],[f84]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( ~ m1_relset_1(X2,X0,X1)
| k8_relset_1(X0,X1,X2,X3) = k7_relat_1(X2,X3) ),
inference(ennf_transformation,[],[f85]) ).
fof(f207,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f208,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
inference(flattening,[],[f207]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X1,X1) ),
inference(ennf_transformation,[],[f89]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X1,X1) ),
inference(flattening,[],[f211]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_filter_2(X0,X1,X2)
| r1_filter_2(X0,X2,X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_filter_2(X0,X1,X2)
| r1_filter_2(X0,X2,X1) ),
inference(flattening,[],[f213]) ).
fof(f215,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f216,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f217,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f216]) ).
fof(f218,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(ennf_transformation,[],[f95]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f221,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f223,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f224,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(ennf_transformation,[],[f100]) ).
fof(f225,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(flattening,[],[f224]) ).
fof(f233,plain,
( l3_lattices(sK4)
& v10_lattices(sK4)
& ~ v3_struct_0(sK4)
& ( g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) != k23_filter_2(sK4,k1_filter_2(sK4))
| k23_filter_2(sK4,k17_filter_2(sK4)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f113]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ sP1(X2,X0,X1)
| ( ( k23_filter_2(X0,X1) != X2
| sP0(X1,X0,X2) )
& ( ~ sP0(X1,X0,X2)
| X2 = k23_filter_2(X0,X1) ) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f235,plain,
! [X0,X1,X2] :
( ~ sP1(X0,X1,X2)
| ( ( k23_filter_2(X1,X2) != X0
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| k23_filter_2(X1,X2) = X0 ) ) ),
inference(rectify,[],[f234]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ( ( k1_xboole_0 != X1
| ( ( ~ v1_funct_2(X2,X0,X1)
| X2 = k1_xboole_0 )
& ( k1_xboole_0 != X2
| v1_funct_2(X2,X0,X1) ) )
| X0 = k1_xboole_0 )
& ( ( X1 = k1_xboole_0
& k1_xboole_0 != X0 )
| ( ( ~ v1_funct_2(X2,X0,X1)
| X0 = k4_relset_1(X0,X1,X2) )
& ( k4_relset_1(X0,X1,X2) != X0
| v1_funct_2(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f240,plain,
l1_lattices(sK7),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f43]) ).
fof(f241,plain,
l1_struct_0(sK8),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f44]) ).
fof(f242,plain,
l2_lattices(sK9),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f45]) ).
fof(f243,plain,
l3_lattices(sK10),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f46]) ).
fof(f244,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK11(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X1,sK11(X0))],[f164]) ).
fof(f245,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(sK12(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X1,sK12(X0))],[f166]) ).
fof(f246,plain,
! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f49]) ).
fof(f247,plain,
! [X0] : m1_subset_1(sK14(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f50]) ).
fof(f248,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(sK15(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X1,sK15(X0))],[f168]) ).
fof(f249,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK16(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X1,sK16(X0))],[f170]) ).
fof(f250,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_nat_lat(sK17(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X1,sK17(X0))],[f172]) ).
fof(f251,plain,
! [X0,X1] : m2_relset_1(sK18(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0,X1))],[f54]) ).
fof(f254,plain,
( v1_funct_1(sK19)
& v1_relat_1(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f69]) ).
fof(f255,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK20(X0))
& m2_lattice4(sK20(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X1,sK20(X0))],[f197]) ).
fof(f258,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ~ v1_xboole_0(sK22(X0))
& m1_subset_1(sK22(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f200]) ).
fof(f259,plain,
v1_xboole_0(sK23),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X0,sK23)],[f73]) ).
fof(f260,plain,
( v1_funct_1(sK24)
& v1_xboole_0(sK24)
& v1_relat_1(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X0,sK24)],[f74]) ).
fof(f261,plain,
! [X0] :
( v1_xboole_0(sK25(X0))
& m1_subset_1(sK25(X0),k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X1,sK25(X0))],[f75]) ).
fof(f262,plain,
~ v1_xboole_0(sK26),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X0,sK26)],[f76]) ).
fof(f263,plain,
( v1_funct_1(sK27)
& v1_relat_1(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X0,sK27)],[f110]) ).
fof(f264,plain,
( v3_lattices(sK28)
& l3_lattices(sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X0,sK28)],[f78]) ).
fof(f265,plain,
( ~ v3_struct_0(sK29)
& l1_struct_0(sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X0,sK29)],[f79]) ).
fof(f266,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK30(X0))
& m1_subset_1(sK30(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X1,sK30(X0))],[f202]) ).
fof(f267,plain,
( v3_lattices(sK31)
& ~ v3_struct_0(sK31)
& l3_lattices(sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X0,sK31)],[f81]) ).
fof(f268,plain,
( v10_lattices(sK32)
& v9_lattices(sK32)
& v8_lattices(sK32)
& v7_lattices(sK32)
& v6_lattices(sK32)
& v5_lattices(sK32)
& v4_lattices(sK32)
& v3_lattices(sK32)
& ~ v3_struct_0(sK32)
& l3_lattices(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X0,sK32)],[f82]) ).
fof(f269,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0) )
& ( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0) ) ) ),
inference(nnf_transformation,[],[f208]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f271,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ( ( ~ r1_filter_2(X0,X1,X2)
| X1 = X2 )
& ( X1 != X2
| r1_filter_2(X0,X1,X2) ) ) ),
inference(nnf_transformation,[],[f210]) ).
fof(f272,plain,
! [X0,X1] :
( ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
& ( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f273,plain,
l3_lattices(sK4),
inference(cnf_transformation,[],[f233]) ).
fof(f274,plain,
v10_lattices(sK4),
inference(cnf_transformation,[],[f233]) ).
fof(f275,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f233]) ).
fof(f276,plain,
( g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) != k23_filter_2(sK4,k1_filter_2(sK4))
| k23_filter_2(sK4,k17_filter_2(sK4)) != g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) ),
inference(cnf_transformation,[],[f233]) ).
fof(f277,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f278,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f279,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f282,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f283,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f284,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f285,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f287,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| k23_filter_2(X1,X2) != X0
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| ~ sP0(X2,X1,X0)
| k23_filter_2(X1,X2) = X0 ),
inference(cnf_transformation,[],[f235]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ m2_nat_lat(X2,X0)
| sP1(X2,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f305,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k1_xboole_0 != X1
| ~ v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X2
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k1_xboole_0 != X1
| k1_xboole_0 != X2
| v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k1_xboole_0 = X1
| ~ v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f308,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k1_xboole_0 != X0
| ~ v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f239]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k1_xboole_0 = X1
| k4_relset_1(X0,X1,X2) != X0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k1_xboole_0 != X0
| k4_relset_1(X0,X1,X2) != X0
| v1_funct_2(X2,X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f311,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f312,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f313,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| l3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f316,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f317,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k1_filter_0(X0),X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f318,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f319,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_nat_lat(k23_filter_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m1_subset_1(k4_relset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f321,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k8_relset_1(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f323,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f324,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f325,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f326,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f327,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f151]) ).
fof(f328,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f329,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_2(X1,X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f330,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_2(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f331,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f332,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f333,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f157]) ).
fof(f334,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| l3_lattices(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f335,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| v10_lattices(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f336,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_nat_lat(X1,X0)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f160]) ).
fof(f338,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f339,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f340,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f341,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f342,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f343,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f344,plain,
l1_lattices(sK7),
inference(cnf_transformation,[],[f240]) ).
fof(f345,plain,
l1_struct_0(sK8),
inference(cnf_transformation,[],[f241]) ).
fof(f346,plain,
l2_lattices(sK9),
inference(cnf_transformation,[],[f242]) ).
fof(f347,plain,
l3_lattices(sK10),
inference(cnf_transformation,[],[f243]) ).
fof(f348,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK11(X0),X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f349,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(sK12(X0),X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f350,plain,
! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f246]) ).
fof(f351,plain,
! [X0] : m1_subset_1(sK14(X0),X0),
inference(cnf_transformation,[],[f247]) ).
fof(f352,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(sK15(X0),X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f353,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK16(X0),X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f354,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_nat_lat(sK17(X0),X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f355,plain,
! [X0,X1] : m2_relset_1(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f251]) ).
fof(f356,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| v1_relat_1(k1_realset1(X0,X1)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f357,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f358,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f57]) ).
fof(f359,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f362,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f363,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k1_realset1(X0,X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f367,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ~ v3_struct_0(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f370,plain,
! [X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_relat_1(X0)
| v1_funct_1(k7_relat_1(X0,X1)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f374,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f375,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f385,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f388,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f193]) ).
fof(f389,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f195]) ).
fof(f390,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f195]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f195]) ).
fof(f392,plain,
v1_funct_1(sK19),
inference(cnf_transformation,[],[f254]) ).
fof(f393,plain,
v1_relat_1(sK19),
inference(cnf_transformation,[],[f254]) ).
fof(f394,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK20(X0)) ),
inference(cnf_transformation,[],[f255]) ).
fof(f395,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK20(X0),X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f406,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f407,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK22(X0)) ),
inference(cnf_transformation,[],[f258]) ).
fof(f408,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK22(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f258]) ).
fof(f409,plain,
v1_xboole_0(sK23),
inference(cnf_transformation,[],[f259]) ).
fof(f410,plain,
v1_funct_1(sK24),
inference(cnf_transformation,[],[f260]) ).
fof(f411,plain,
v1_xboole_0(sK24),
inference(cnf_transformation,[],[f260]) ).
fof(f412,plain,
v1_relat_1(sK24),
inference(cnf_transformation,[],[f260]) ).
fof(f413,plain,
! [X0] : v1_xboole_0(sK25(X0)),
inference(cnf_transformation,[],[f261]) ).
fof(f414,plain,
! [X0] : m1_subset_1(sK25(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f261]) ).
fof(f415,plain,
~ v1_xboole_0(sK26),
inference(cnf_transformation,[],[f262]) ).
fof(f416,plain,
v1_funct_1(sK27),
inference(cnf_transformation,[],[f263]) ).
fof(f417,plain,
v1_relat_1(sK27),
inference(cnf_transformation,[],[f263]) ).
fof(f418,plain,
v3_lattices(sK28),
inference(cnf_transformation,[],[f264]) ).
fof(f419,plain,
l3_lattices(sK28),
inference(cnf_transformation,[],[f264]) ).
fof(f420,plain,
~ v3_struct_0(sK29),
inference(cnf_transformation,[],[f265]) ).
fof(f421,plain,
l1_struct_0(sK29),
inference(cnf_transformation,[],[f265]) ).
fof(f422,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK30(X0)) ),
inference(cnf_transformation,[],[f266]) ).
fof(f423,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f266]) ).
fof(f424,plain,
v3_lattices(sK31),
inference(cnf_transformation,[],[f267]) ).
fof(f425,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f267]) ).
fof(f426,plain,
l3_lattices(sK31),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
v10_lattices(sK32),
inference(cnf_transformation,[],[f268]) ).
fof(f430,plain,
v7_lattices(sK32),
inference(cnf_transformation,[],[f268]) ).
fof(f431,plain,
v6_lattices(sK32),
inference(cnf_transformation,[],[f268]) ).
fof(f432,plain,
v5_lattices(sK32),
inference(cnf_transformation,[],[f268]) ).
fof(f433,plain,
v4_lattices(sK32),
inference(cnf_transformation,[],[f268]) ).
fof(f434,plain,
v3_lattices(sK32),
inference(cnf_transformation,[],[f268]) ).
fof(f435,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f268]) ).
fof(f436,plain,
l3_lattices(sK32),
inference(cnf_transformation,[],[f268]) ).
fof(f437,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_2(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f438,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
inference(cnf_transformation,[],[f205]) ).
fof(f439,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k8_relset_1(X0,X1,X2,X3) = k7_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f206]) ).
fof(f440,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f441,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f443,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_filter_2(X0,X1,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f271]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X1,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f447,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f101]) ).
fof(f448,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_filter_2(X0,X1,X2)
| r1_filter_2(X0,X2,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f449,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f450,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f451,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f452,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f272]) ).
fof(f453,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f219]) ).
fof(f454,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
fof(f455,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f221]) ).
fof(f456,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f457,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f458,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(cnf_transformation,[],[f225]) ).
fof(f459,plain,
! [X2,X1] :
( ~ sP1(k23_filter_2(X1,X2),X1,X2)
| sP0(X2,X1,k23_filter_2(X1,X2)) ),
inference(equality_resolution,[],[f292]) ).
fof(f463,plain,
! [X2,X1] :
( ~ m2_relset_1(X2,k1_xboole_0,X1)
| k1_xboole_0 != k4_relset_1(k1_xboole_0,X1,X2)
| v1_funct_2(X2,k1_xboole_0,X1) ),
inference(equality_resolution,[],[f310]) ).
fof(f464,plain,
! [X2,X1] :
( ~ m2_relset_1(X2,k1_xboole_0,X1)
| ~ v1_funct_2(X2,k1_xboole_0,X1)
| k1_xboole_0 = k4_relset_1(k1_xboole_0,X1,X2) ),
inference(equality_resolution,[],[f308]) ).
fof(f465,plain,
! [X0,X1] :
( ~ m2_relset_1(k1_xboole_0,X0,X1)
| k1_xboole_0 != X1
| v1_funct_2(k1_xboole_0,X0,X1)
| k1_xboole_0 = X0 ),
inference(equality_resolution,[],[f306]) ).
fof(f466,plain,
! [X0] :
( ~ m2_relset_1(k1_xboole_0,X0,k1_xboole_0)
| v1_funct_2(k1_xboole_0,X0,k1_xboole_0)
| k1_xboole_0 = X0 ),
inference(equality_resolution,[],[f465]) ).
fof(f467,plain,
! [X2,X0] :
( ~ m2_relset_1(X2,X0,k1_xboole_0)
| ~ v1_funct_2(X2,X0,k1_xboole_0)
| k1_xboole_0 = X2
| k1_xboole_0 = X0 ),
inference(equality_resolution,[],[f305]) ).
tcf(c_49,negated_conjecture,
( ( g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) != k23_filter_2(sK4,k1_filter_2(sK4)) )
| ( g3_lattices(u1_struct_0(sK4),u2_lattices(sK4),u1_lattices(sK4)) != k23_filter_2(sK4,k17_filter_2(sK4)) ) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_50,negated_conjecture,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f275]) ).
tcf(c_51,negated_conjecture,
v10_lattices(sK4),
inference(cnf_transformation,[],[f274]) ).
tcf(c_52,negated_conjecture,
l3_lattices(sK4),
inference(cnf_transformation,[],[f273]) ).
tcf(c_53,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 )
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_55,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_56,plain,
! [X0: $i] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_57,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_58,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_59,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k23_filter_2(X1,X0) = X2 )
| ~ sP1(X2,X1,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,k23_filter_2(X0,X1))
| ~ sP1(k23_filter_2(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f459]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v3_struct_0(X1)
| sP1(X0,X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ m2_nat_lat(X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(X1,k1_xboole_0,X0)
| ~ m2_relset_1(X1,k1_xboole_0,X0)
| ( k4_relset_1(k1_xboole_0,X0,X1) != k1_xboole_0 ) ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(X2,X0,X1)
| ( X1 = k1_xboole_0 )
| ~ m2_relset_1(X2,X0,X1)
| ( k4_relset_1(X0,X1,X2) != X0 ) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( k4_relset_1(k1_xboole_0,X1,X0) = k1_xboole_0 )
| ~ m2_relset_1(X0,k1_xboole_0,X1)
| ~ v1_funct_2(X0,k1_xboole_0,X1) ),
inference(cnf_transformation,[],[f464]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = k1_xboole_0 )
| ( k4_relset_1(X1,X2,X0) = X1 )
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_81,plain,
! [X0: $i] :
( v1_funct_2(k1_xboole_0,X0,k1_xboole_0)
| ( X0 = k1_xboole_0 )
| ~ m2_relset_1(k1_xboole_0,X0,k1_xboole_0) ),
inference(cnf_transformation,[],[f466]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ( X1 = k1_xboole_0 )
| ( X0 = k1_xboole_0 )
| ~ m2_relset_1(X0,X1,k1_xboole_0)
| ~ v1_funct_2(X0,X1,k1_xboole_0) ),
inference(cnf_transformation,[],[f467]) ).
tcf(c_83,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(X0) = k1_filter_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(X0,k2_zfmisc_1(X1,X1)) = k1_realset1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_85,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k17_filter_2(X0) = u1_struct_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_lattices(g3_lattices(X1,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( l3_lattices(g3_lattices(X1,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_88,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_89,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_90,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| m2_nat_lat(k23_filter_2(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k4_relset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m2_relset_1(k8_relset_1(X1,X2,X0,X3),X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_95,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_96,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_97,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_98,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v3_struct_0(X0)
| ~ m2_nat_lat(X0,X1) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( v10_lattices(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X0,X1) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( l3_lattices(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_nat_lat(X0,X1) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_110,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_111,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_112,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_113,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_114,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_115,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_116,plain,
l1_lattices(sK7),
inference(cnf_transformation,[],[f344]) ).
tcf(c_117,plain,
l1_struct_0(sK8),
inference(cnf_transformation,[],[f345]) ).
tcf(c_118,plain,
l2_lattices(sK9),
inference(cnf_transformation,[],[f346]) ).
tcf(c_119,plain,
l3_lattices(sK10),
inference(cnf_transformation,[],[f347]) ).
tcf(c_120,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(sK11(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_121,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(sK12(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f350]) ).
tcf(c_123,plain,
! [X0: $i] : m1_subset_1(sK14(X0),X0),
inference(cnf_transformation,[],[f351]) ).
tcf(c_124,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_filter_2(sK15(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_125,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK16(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_126,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_nat_lat(sK17(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f355]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( v1_relat_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_129,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_130,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f358]) ).
tcf(c_131,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f359]) ).
tcf(c_132,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k1_realset1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_137,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(X1,X0,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(k7_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_144,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| sP2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_158,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_164,plain,
v1_relat_1(sK19),
inference(cnf_transformation,[],[f393]) ).
tcf(c_165,plain,
v1_funct_1(sK19),
inference(cnf_transformation,[],[f392]) ).
tcf(c_166,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK20(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_167,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK20(X0)) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_178,plain,
! [X0: $i] :
( sP3(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_179,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK22(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f408]) ).
tcf(c_180,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK22(X0)) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_181,plain,
v1_xboole_0(sK23),
inference(cnf_transformation,[],[f409]) ).
tcf(c_182,plain,
v1_relat_1(sK24),
inference(cnf_transformation,[],[f412]) ).
tcf(c_183,plain,
v1_xboole_0(sK24),
inference(cnf_transformation,[],[f411]) ).
tcf(c_184,plain,
v1_funct_1(sK24),
inference(cnf_transformation,[],[f410]) ).
tcf(c_185,plain,
! [X0: $i] : m1_subset_1(sK25(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f414]) ).
tcf(c_186,plain,
! [X0: $i] : v1_xboole_0(sK25(X0)),
inference(cnf_transformation,[],[f413]) ).
tcf(c_187,plain,
~ v1_xboole_0(sK26),
inference(cnf_transformation,[],[f415]) ).
tcf(c_188,plain,
v1_relat_1(sK27),
inference(cnf_transformation,[],[f417]) ).
tcf(c_189,plain,
v1_funct_1(sK27),
inference(cnf_transformation,[],[f416]) ).
tcf(c_190,plain,
l3_lattices(sK28),
inference(cnf_transformation,[],[f419]) ).
tcf(c_191,plain,
v3_lattices(sK28),
inference(cnf_transformation,[],[f418]) ).
tcf(c_192,plain,
l1_struct_0(sK29),
inference(cnf_transformation,[],[f421]) ).
tcf(c_193,plain,
~ v3_struct_0(sK29),
inference(cnf_transformation,[],[f420]) ).
tcf(c_194,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_195,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK30(X0)) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_196,plain,
l3_lattices(sK31),
inference(cnf_transformation,[],[f426]) ).
tcf(c_197,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f425]) ).
tcf(c_198,plain,
v3_lattices(sK31),
inference(cnf_transformation,[],[f424]) ).
tcf(c_199,plain,
l3_lattices(sK32),
inference(cnf_transformation,[],[f436]) ).
tcf(c_200,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f435]) ).
tcf(c_201,plain,
v3_lattices(sK32),
inference(cnf_transformation,[],[f434]) ).
tcf(c_202,plain,
v4_lattices(sK32),
inference(cnf_transformation,[],[f433]) ).
tcf(c_203,plain,
v5_lattices(sK32),
inference(cnf_transformation,[],[f432]) ).
tcf(c_204,plain,
v6_lattices(sK32),
inference(cnf_transformation,[],[f431]) ).
tcf(c_205,plain,
v7_lattices(sK32),
inference(cnf_transformation,[],[f430]) ).
tcf(c_208,plain,
v10_lattices(sK32),
inference(cnf_transformation,[],[f427]) ).
tcf(c_209,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k1_filter_2(X0) = k1_filter_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_relset_1(X1,X2,X0) = k1_relat_1(X0) )
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f438]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k8_relset_1(X1,X2,X0,X3) = k7_relat_1(X0,X3) )
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f440]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f443]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_filter_2(X1,X0,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ( X1 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f444]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r1_filter_2(X1,X0,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f446]) ).
tcf(c_219,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f447]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r1_filter_2(X0,X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f448]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f449]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f450]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f452]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f451]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_227,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f456]) ).
tcf(c_229,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(X0,X1) = X0 )
| ~ v1_relat_1(X0)
| ~ r1_tarski(k1_relat_1(X0),X1) ),
inference(cnf_transformation,[],[f458]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_filter_2(X1,X0,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_218,c_216]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_214]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_223]) ).
tcf(c_384,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_97]) ).
tcf(c_386,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_214,c_109]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_406]) ).
tcf(c_450,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_95]) ).
tcf(c_452,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_110]) ).
tcf(c_454,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_111]) ).
tcf(c_456,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_112]) ).
tcf(c_460,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_96]) ).
tcf(c_462,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_113]) ).
tcf(c_464,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_114]) ).
tcf(c_466,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_115]) ).
tcf(c_843,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = k1_xboole_0 )
| ( k4_relset_1(X1,X2,X0) = X1 )
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_80,c_374]) ).
tcf(c_844,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_filter_2(X1,X0,X0)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_360,c_378]) ).
tcf(c_845,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_225,c_378]) ).
tcf(c_846,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_226,c_378]) ).
tcf(c_2934,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ v7_lattices(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_384,c_158]) ).
tcf(c_2935,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v7_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2934]) ).
tcf(c_2949,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ v6_lattices(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_384,c_144]) ).
tcf(c_2950,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v6_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2949]) ).
tcf(c_2964,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_384,c_456]) ).
tcf(c_2965,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2964]) ).
tcf(c_2973,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_384,c_454]) ).
tcf(c_2974,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2973]) ).
tcf(c_2982,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_384,c_452]) ).
tcf(c_2983,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2982]) ).
tcf(c_2991,plain,
! [X0: $i,X1: $i] :
( l1_struct_0(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_384,c_450]) ).
tcf(c_2992,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2991]) ).
tcf(c_3000,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v7_lattices(X0)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_158,c_116]) ).
tcf(c_3001,plain,
( v3_struct_0(sK7)
| v1_relat_1(u1_lattices(sK7))
| ~ v7_lattices(sK7) ),
inference(unflattening,[status(thm)],[c_3000]) ).
tcf(c_3011,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v6_lattices(X0)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_144,c_116]) ).
tcf(c_3012,plain,
( v3_struct_0(sK7)
| v1_relat_1(u1_lattices(sK7))
| ~ v6_lattices(sK7) ),
inference(unflattening,[status(thm)],[c_3011]) ).
tcf(c_3022,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_456,c_116]) ).
tcf(c_3023,plain,
m2_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)),
inference(unflattening,[status(thm)],[c_3022]) ).
tcf(c_3027,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_454,c_116]) ).
tcf(c_3028,plain,
v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)),
inference(unflattening,[status(thm)],[c_3027]) ).
tcf(c_3032,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_452,c_116]) ).
tcf(c_3033,plain,
v1_funct_1(u1_lattices(sK7)),
inference(unflattening,[status(thm)],[c_3032]) ).
tcf(c_3037,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_450,c_116]) ).
tcf(c_3038,plain,
l1_struct_0(sK7),
inference(unflattening,[status(thm)],[c_3037]) ).
tcf(c_3068,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ v5_lattices(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_386,c_137]) ).
tcf(c_3069,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v5_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3068]) ).
tcf(c_3083,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ v4_lattices(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_386,c_132]) ).
tcf(c_3084,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3083]) ).
tcf(c_3098,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_386,c_466]) ).
tcf(c_3099,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3098]) ).
tcf(c_3107,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_386,c_464]) ).
tcf(c_3108,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3107]) ).
tcf(c_3116,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_386,c_462]) ).
tcf(c_3117,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3116]) ).
tcf(c_3127,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v5_lattices(X0)
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_137,c_118]) ).
tcf(c_3128,plain,
( v3_struct_0(sK9)
| v1_relat_1(u2_lattices(sK9))
| ~ v5_lattices(sK9) ),
inference(unflattening,[status(thm)],[c_3127]) ).
tcf(c_3138,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v4_lattices(X0)
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_118]) ).
tcf(c_3139,plain,
( v3_struct_0(sK9)
| v1_relat_1(u2_lattices(sK9))
| ~ v4_lattices(sK9) ),
inference(unflattening,[status(thm)],[c_3138]) ).
tcf(c_3149,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_466,c_118]) ).
tcf(c_3150,plain,
m2_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)),
inference(unflattening,[status(thm)],[c_3149]) ).
tcf(c_3154,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_464,c_118]) ).
tcf(c_3155,plain,
v1_funct_2(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)),
inference(unflattening,[status(thm)],[c_3154]) ).
tcf(c_3159,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_462,c_118]) ).
tcf(c_3160,plain,
v1_funct_1(u2_lattices(sK9)),
inference(unflattening,[status(thm)],[c_3159]) ).
tcf(c_3164,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_460,c_118]) ).
tcf(c_3165,plain,
l1_struct_0(sK9),
inference(unflattening,[status(thm)],[c_3164]) ).
tcf(c_3193,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k17_filter_2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_104]) ).
tcf(c_3194,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3193]) ).
tcf(c_3208,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k17_filter_2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_88,c_103]) ).
tcf(c_3209,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k17_filter_2(X0)) ),
inference(unflattening,[status(thm)],[c_3208]) ).
tcf(c_3223,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK15(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_104,c_124]) ).
tcf(c_3224,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK15(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3223]) ).
tcf(c_3238,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK15(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_124]) ).
tcf(c_3239,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK15(X0)) ),
inference(unflattening,[status(thm)],[c_3238]) ).
tcf(c_3269,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(sK30(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_2992,c_195]) ).
tcf(c_3270,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(sK30(X0)) ),
inference(unflattening,[status(thm)],[c_3269]) ).
tcf(c_3281,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK30(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_2992,c_194]) ).
tcf(c_3282,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3281]) ).
tcf(c_3293,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_2992,c_129]) ).
tcf(c_3294,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_3293]) ).
tcf(c_3305,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK30(X0))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_195,c_117]) ).
tcf(c_3306,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(sK30(sK8)) ),
inference(unflattening,[status(thm)],[c_3305]) ).
tcf(c_3313,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_117]) ).
tcf(c_3314,plain,
( v3_struct_0(sK8)
| m1_subset_1(sK30(sK8),k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(unflattening,[status(thm)],[c_3313]) ).
tcf(c_3321,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_129,c_117]) ).
tcf(c_3322,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(u1_struct_0(sK8)) ),
inference(unflattening,[status(thm)],[c_3321]) ).
tcf(c_3329,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK30(X0))
| ( X0 != sK29 ) ),
inference(resolution_lifted,[status(thm)],[c_195,c_192]) ).
tcf(c_3330,plain,
( v3_struct_0(sK29)
| ~ v1_xboole_0(sK30(sK29)) ),
inference(unflattening,[status(thm)],[c_3329]) ).
tcf(c_3331,plain,
~ v1_xboole_0(sK30(sK29)),
inference(global_subsumption_just,[status(thm)],[c_3330,c_193,c_3330]) ).
tcf(c_3336,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK29 ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_192]) ).
tcf(c_3337,plain,
( v3_struct_0(sK29)
| m1_subset_1(sK30(sK29),k1_zfmisc_1(u1_struct_0(sK29))) ),
inference(unflattening,[status(thm)],[c_3336]) ).
tcf(c_3338,plain,
m1_subset_1(sK30(sK29),k1_zfmisc_1(u1_struct_0(sK29))),
inference(global_subsumption_just,[status(thm)],[c_3337,c_193,c_3337]) ).
tcf(c_3343,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK29 ) ),
inference(resolution_lifted,[status(thm)],[c_129,c_192]) ).
tcf(c_3344,plain,
( v3_struct_0(sK29)
| ~ v1_xboole_0(u1_struct_0(sK29)) ),
inference(unflattening,[status(thm)],[c_3343]) ).
tcf(c_3345,plain,
~ v1_xboole_0(u1_struct_0(sK29)),
inference(global_subsumption_just,[status(thm)],[c_3344,c_193,c_3344]) ).
tcf(c_3350,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK30(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_195,c_3038]) ).
tcf(c_3351,plain,
( v3_struct_0(sK7)
| ~ v1_xboole_0(sK30(sK7)) ),
inference(unflattening,[status(thm)],[c_3350]) ).
tcf(c_3358,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_3038]) ).
tcf(c_3359,plain,
( v3_struct_0(sK7)
| m1_subset_1(sK30(sK7),k1_zfmisc_1(u1_struct_0(sK7))) ),
inference(unflattening,[status(thm)],[c_3358]) ).
tcf(c_3366,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_129,c_3038]) ).
tcf(c_3367,plain,
( v3_struct_0(sK7)
| ~ v1_xboole_0(u1_struct_0(sK7)) ),
inference(unflattening,[status(thm)],[c_3366]) ).
tcf(c_3374,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK30(X0))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_195,c_3165]) ).
tcf(c_3375,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(sK30(sK9)) ),
inference(unflattening,[status(thm)],[c_3374]) ).
tcf(c_3382,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_3165]) ).
tcf(c_3383,plain,
( v3_struct_0(sK9)
| m1_subset_1(sK30(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(unflattening,[status(thm)],[c_3382]) ).
tcf(c_3390,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_129,c_3165]) ).
tcf(c_3391,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(u1_struct_0(sK9)) ),
inference(unflattening,[status(thm)],[c_3390]) ).
tcf(c_4218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l3_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X0,X2)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_213,c_100]) ).
tcf(c_4219,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X0,X1) ),
inference(unflattening,[status(thm)],[c_4218]) ).
tcf(c_4238,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k1_filter_0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_212]) ).
tcf(c_4239,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4238]) ).
tcf(c_4253,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k1_filter_0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_100]) ).
tcf(c_4254,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_filter_0(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4253]) ).
tcf(c_4268,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k1_filter_0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_99]) ).
tcf(c_4269,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k1_filter_0(X0)) ),
inference(unflattening,[status(thm)],[c_4268]) ).
tcf(c_4283,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK11(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_212,c_120]) ).
tcf(c_4284,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(sK11(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4283]) ).
tcf(c_4298,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK11(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_100,c_120]) ).
tcf(c_4299,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4298]) ).
tcf(c_4313,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK11(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_120]) ).
tcf(c_4314,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK11(X0)) ),
inference(unflattening,[status(thm)],[c_4313]) ).
tcf(c_4357,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k1_filter_2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_4219]) ).
tcf(c_4358,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k1_filter_2(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4357]) ).
tcf(c_4372,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k1_filter_2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_102]) ).
tcf(c_4373,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4372]) ).
tcf(c_4387,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k1_filter_2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_101]) ).
tcf(c_4388,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k1_filter_2(X0)) ),
inference(unflattening,[status(thm)],[c_4387]) ).
tcf(c_4402,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK12(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_4219,c_121]) ).
tcf(c_4403,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4402]) ).
tcf(c_4417,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK12(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_121]) ).
tcf(c_4418,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK12(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4417]) ).
tcf(c_4432,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK12(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_121]) ).
tcf(c_4433,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK12(X0)) ),
inference(unflattening,[status(thm)],[c_4432]) ).
tcf(c_4449,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k1_filter_0(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_4239]) ).
tcf(c_4450,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4449]) ).
tcf(c_4468,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK11(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_4284]) ).
tcf(c_4469,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK11(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4468]) ).
tcf(c_5850,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_2983]) ).
tcf(c_5852,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_2974]) ).
tcf(c_5854,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_2965]) ).
tcf(c_5856,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3117]) ).
tcf(c_5858,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3108]) ).
tcf(c_5860,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3099]) ).
tcf(c_5880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_407]) ).
tcf(c_5881,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_5880]) ).
tcf(c_6038,plain,
( ~ v1_xboole_0(sK30(sK7))
| v3_struct_0(sK7) ),
inference(prop_impl_just,[status(thm)],[c_3351]) ).
tcf(c_6039,plain,
( v3_struct_0(sK7)
| ~ v1_xboole_0(sK30(sK7)) ),
inference(renaming,[status(thm)],[c_6038]) ).
tcf(c_6040,plain,
( m1_subset_1(sK30(sK7),k1_zfmisc_1(u1_struct_0(sK7)))
| v3_struct_0(sK7) ),
inference(prop_impl_just,[status(thm)],[c_3359]) ).
tcf(c_6041,plain,
( v3_struct_0(sK7)
| m1_subset_1(sK30(sK7),k1_zfmisc_1(u1_struct_0(sK7))) ),
inference(renaming,[status(thm)],[c_6040]) ).
tcf(c_6042,plain,
( ~ v1_xboole_0(u1_struct_0(sK7))
| v3_struct_0(sK7) ),
inference(prop_impl_just,[status(thm)],[c_3367]) ).
tcf(c_6043,plain,
( v3_struct_0(sK7)
| ~ v1_xboole_0(u1_struct_0(sK7)) ),
inference(renaming,[status(thm)],[c_6042]) ).
tcf(c_6044,plain,
( ~ v1_xboole_0(sK30(sK9))
| v3_struct_0(sK9) ),
inference(prop_impl_just,[status(thm)],[c_3375]) ).
tcf(c_6045,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(sK30(sK9)) ),
inference(renaming,[status(thm)],[c_6044]) ).
tcf(c_6046,plain,
( m1_subset_1(sK30(sK9),k1_zfmisc_1(u1_struct_0(sK9)))
| v3_struct_0(sK9) ),
inference(prop_impl_just,[status(thm)],[c_3383]) ).
tcf(c_6047,plain,
( v3_struct_0(sK9)
| m1_subset_1(sK30(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(renaming,[status(thm)],[c_6046]) ).
tcf(c_6048,plain,
( ~ v1_xboole_0(u1_struct_0(sK9))
| v3_struct_0(sK9) ),
inference(prop_impl_just,[status(thm)],[c_3391]) ).
tcf(c_6049,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(u1_struct_0(sK9)) ),
inference(renaming,[status(thm)],[c_6048]) ).
tcf(c_6050,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(sK30(sK8)) ),
inference(prop_impl_just,[status(thm)],[c_3306]) ).
tcf(c_6054,plain,
( m1_subset_1(sK30(sK8),k1_zfmisc_1(u1_struct_0(sK8)))
| v3_struct_0(sK8) ),
inference(prop_impl_just,[status(thm)],[c_3314]) ).
tcf(c_6055,plain,
( v3_struct_0(sK8)
| m1_subset_1(sK30(sK8),k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(renaming,[status(thm)],[c_6054]) ).
tcf(c_6056,plain,
( ~ v1_xboole_0(u1_struct_0(sK8))
| v3_struct_0(sK8) ),
inference(prop_impl_just,[status(thm)],[c_3322]) ).
tcf(c_6057,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(u1_struct_0(sK8)) ),
inference(renaming,[status(thm)],[c_6056]) ).
tcf(c_10384,definition,
iPr_def_10 = u1_struct_0(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_10385,definition,
iPr_def_11 = u2_lattices(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_10386,definition,
iPr_def_12 = u1_lattices(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_10387,definition,
iPr_def_13 = g3_lattices(iPr_def_10,iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_10388,definition,
iPr_def_14 = k17_filter_2(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_10389,definition,
iPr_def_15 = k23_filter_2(sK4,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_10390,definition,
iPr_def_16 = k1_filter_2(sK4),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_10391,definition,
iPr_def_17 = k23_filter_2(sK4,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_10392,negated_conjecture,
l3_lattices(sK4),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_10393,negated_conjecture,
v10_lattices(sK4),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_10394,negated_conjecture,
~ v3_struct_0(sK4),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_10395,negated_conjecture,
( ( iPr_def_13 != iPr_def_17 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_49,c_10390,c_10391,c_10388,c_10389,c_10386,c_10385,c_10384,c_10387]) ).
tcf(c_13928,plain,
v1_funct_1(k1_xboole_0),
inference(superposition,[status(thm)],[c_131,c_55]) ).
tcf(c_13929,plain,
v1_funct_1(sK23),
inference(superposition,[status(thm)],[c_181,c_55]) ).
tcf(c_13931,plain,
! [X0: $i] : v1_funct_1(sK25(X0)),
inference(superposition,[status(thm)],[c_186,c_55]) ).
tcf(c_13965,plain,
( v1_funct_1(iPr_def_12)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10386,c_5850]) ).
tcf(c_13966,plain,
v1_funct_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_13965,c_10392]) ).
tcf(c_13971,plain,
( v1_funct_1(iPr_def_11)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10385,c_5856]) ).
tcf(c_13972,plain,
v1_funct_1(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_13971,c_10392]) ).
tcf(c_14042,plain,
k1_xboole_0 = sK23,
inference(superposition,[status(thm)],[c_181,c_227]) ).
tcf(c_14043,plain,
k1_xboole_0 = sK24,
inference(superposition,[status(thm)],[c_183,c_227]) ).
tcf(c_14044,plain,
! [X0: $i] : sK25(X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_186,c_227]) ).
tcf(c_14049,plain,
v1_relat_1(k1_xboole_0),
inference(demodulation,[status(thm)],[c_182,c_14043]) ).
tcf(c_14051,plain,
! [X0: $i] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_185,c_14044]) ).
tcf(c_14196,plain,
! [X0: $i] : r1_tarski(sK14(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_123,c_224]) ).
tcf(c_14197,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r1_tarski(sK22(X0),X0) ),
inference(superposition,[status(thm)],[c_179,c_224]) ).
tcf(c_14199,plain,
r1_tarski(sK30(sK29),u1_struct_0(sK29)),
inference(superposition,[status(thm)],[c_3338,c_224]) ).
tcf(c_14200,plain,
! [X0: $i] : r1_tarski(k1_xboole_0,X0),
inference(superposition,[status(thm)],[c_14051,c_224]) ).
tcf(c_14220,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_123,c_62]) ).
tcf(c_14221,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK22(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_179,c_62]) ).
tcf(c_14222,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ),
inference(superposition,[status(thm)],[c_223,c_62]) ).
tcf(c_14240,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_122,c_214]) ).
tcf(c_14246,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK18(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_127,c_215]) ).
tcf(c_14282,plain,
( v3_struct_0(sK7)
| r1_tarski(sK30(sK7),u1_struct_0(sK7)) ),
inference(superposition,[status(thm)],[c_6041,c_224]) ).
tcf(c_14293,plain,
( v3_struct_0(sK9)
| r1_tarski(sK30(sK9),u1_struct_0(sK9)) ),
inference(superposition,[status(thm)],[c_6047,c_224]) ).
tcf(c_14304,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK20(X0))
| sP2(sK20(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_166,c_157]) ).
tcf(c_14316,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK14(X0),X0) ),
inference(superposition,[status(thm)],[c_123,c_222]) ).
tcf(c_14317,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK22(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_179,c_222]) ).
tcf(c_14318,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_223,c_222]) ).
tcf(c_14319,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK29)))
| r2_hidden(sK30(sK29),k1_zfmisc_1(u1_struct_0(sK29))) ),
inference(superposition,[status(thm)],[c_3338,c_222]) ).
tcf(c_14320,plain,
( v3_struct_0(sK7)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK7)))
| r2_hidden(sK30(sK7),k1_zfmisc_1(u1_struct_0(sK7))) ),
inference(superposition,[status(thm)],[c_6041,c_222]) ).
tcf(c_14321,plain,
( v3_struct_0(sK9)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK9)))
| r2_hidden(sK30(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(superposition,[status(thm)],[c_6047,c_222]) ).
tcf(c_14322,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_14051,c_222]) ).
tcf(c_14325,plain,
! [X0: $i] : r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_14322,c_130]) ).
tcf(c_14326,plain,
r2_hidden(sK30(sK29),k1_zfmisc_1(u1_struct_0(sK29))),
inference(forward_subsumption_resolution,[status(thm)],[c_14319,c_130]) ).
tcf(c_14327,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK22(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14317,c_130]) ).
tcf(c_14330,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14318,c_130]) ).
tcf(c_14333,plain,
( v3_struct_0(sK9)
| r2_hidden(sK30(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14321,c_130]) ).
tcf(c_14336,plain,
( v3_struct_0(sK7)
| r2_hidden(sK30(sK7),k1_zfmisc_1(u1_struct_0(sK7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14320,c_130]) ).
tcf(c_14348,plain,
( v4_lattices(sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10392,c_56]) ).
tcf(c_14349,plain,
( v4_lattices(sK10)
| v3_struct_0(sK10)
| ~ v10_lattices(sK10) ),
inference(superposition,[status(thm)],[c_119,c_56]) ).
tcf(c_14350,plain,
( v4_lattices(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_190,c_56]) ).
tcf(c_14351,plain,
( v4_lattices(sK31)
| v3_struct_0(sK31)
| ~ v10_lattices(sK31) ),
inference(superposition,[status(thm)],[c_196,c_56]) ).
tcf(c_14353,plain,
( v4_lattices(sK31)
| ~ v10_lattices(sK31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14351,c_197]) ).
tcf(c_14362,plain,
v4_lattices(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_14348,c_10394,c_10393]) ).
tcf(c_14371,plain,
( v5_lattices(sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10392,c_57]) ).
tcf(c_14372,plain,
( v5_lattices(sK10)
| v3_struct_0(sK10)
| ~ v10_lattices(sK10) ),
inference(superposition,[status(thm)],[c_119,c_57]) ).
tcf(c_14373,plain,
( v5_lattices(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_190,c_57]) ).
tcf(c_14374,plain,
( v5_lattices(sK31)
| v3_struct_0(sK31)
| ~ v10_lattices(sK31) ),
inference(superposition,[status(thm)],[c_196,c_57]) ).
tcf(c_14376,plain,
( v5_lattices(sK31)
| ~ v10_lattices(sK31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14374,c_197]) ).
tcf(c_14385,plain,
v5_lattices(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_14371,c_10394,c_10393]) ).
tcf(c_14394,plain,
( v6_lattices(sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10392,c_58]) ).
tcf(c_14395,plain,
( v6_lattices(sK10)
| v3_struct_0(sK10)
| ~ v10_lattices(sK10) ),
inference(superposition,[status(thm)],[c_119,c_58]) ).
tcf(c_14396,plain,
( v6_lattices(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_190,c_58]) ).
tcf(c_14397,plain,
( v6_lattices(sK31)
| v3_struct_0(sK31)
| ~ v10_lattices(sK31) ),
inference(superposition,[status(thm)],[c_196,c_58]) ).
tcf(c_14399,plain,
( v6_lattices(sK31)
| ~ v10_lattices(sK31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14397,c_197]) ).
tcf(c_14408,plain,
v6_lattices(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_14394,c_10394,c_10393]) ).
tcf(c_14409,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k1_xboole_0),
inference(superposition,[status(thm)],[c_14325,c_54]) ).
tcf(c_14429,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK14(X0)) ),
inference(superposition,[status(thm)],[c_14316,c_54]) ).
tcf(c_14434,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK29)),sK30(sK29)),
inference(superposition,[status(thm)],[c_14326,c_54]) ).
tcf(c_14435,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK29))),
inference(superposition,[status(thm)],[c_14326,c_228]) ).
tcf(c_14445,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK22(X0)) ),
inference(superposition,[status(thm)],[c_14327,c_54]) ).
tcf(c_14466,plain,
( v7_lattices(sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10392,c_59]) ).
tcf(c_14467,plain,
( v7_lattices(sK10)
| v3_struct_0(sK10)
| ~ v10_lattices(sK10) ),
inference(superposition,[status(thm)],[c_119,c_59]) ).
tcf(c_14468,plain,
( v7_lattices(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_190,c_59]) ).
tcf(c_14469,plain,
( v7_lattices(sK31)
| v3_struct_0(sK31)
| ~ v10_lattices(sK31) ),
inference(superposition,[status(thm)],[c_196,c_59]) ).
tcf(c_14471,plain,
( v7_lattices(sK31)
| ~ v10_lattices(sK31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14469,c_197]) ).
tcf(c_14480,plain,
v7_lattices(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_14466,c_10394,c_10393]) ).
tcf(c_14559,plain,
( sP3(sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10392,c_178]) ).
tcf(c_14560,plain,
( sP3(sK10)
| v3_struct_0(sK10)
| ~ v10_lattices(sK10) ),
inference(superposition,[status(thm)],[c_119,c_178]) ).
tcf(c_14561,plain,
( sP3(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_190,c_178]) ).
tcf(c_14562,plain,
( sP3(sK31)
| v3_struct_0(sK31)
| ~ v10_lattices(sK31) ),
inference(superposition,[status(thm)],[c_196,c_178]) ).
tcf(c_14563,plain,
( sP3(sK32)
| v3_struct_0(sK32)
| ~ v10_lattices(sK32) ),
inference(superposition,[status(thm)],[c_199,c_178]) ).
tcf(c_14564,plain,
sP3(sK32),
inference(forward_subsumption_resolution,[status(thm)],[c_14563,c_200,c_208]) ).
tcf(c_14565,plain,
( sP3(sK31)
| ~ v10_lattices(sK31) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14562,c_197]) ).
tcf(c_14574,plain,
sP3(sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_14559,c_10394,c_10393]) ).
tcf(c_14592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_relat_1(k4_relset_1(k2_zfmisc_1(X1,X2),X3,X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_92,c_62]) ).
tcf(c_14593,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k4_relset_1(X1,X2,X0),X1)
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_92,c_224]) ).
tcf(c_14594,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(k4_relset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_92,c_222]) ).
tcf(c_14599,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(k4_relset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ m1_relset_1(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14594,c_130]) ).
tcf(c_14613,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK16(X0))
| sP2(sK16(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_125,c_157]) ).
tcf(c_14639,plain,
( v3_struct_0(sK8)
| r1_tarski(sK30(sK8),u1_struct_0(sK8)) ),
inference(superposition,[status(thm)],[c_6055,c_224]) ).
tcf(c_14640,plain,
( v3_struct_0(sK8)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK8)))
| r2_hidden(sK30(sK8),k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(superposition,[status(thm)],[c_6055,c_222]) ).
tcf(c_14643,plain,
( v3_struct_0(sK8)
| r2_hidden(sK30(sK8),k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14640,c_130]) ).
tcf(c_14654,plain,
! [X0: $i,X1: $i] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_219,c_14222]) ).
tcf(c_14663,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_14330,c_54]) ).
tcf(c_14664,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_14330,c_228]) ).
tcf(c_14672,plain,
( v3_struct_0(sK9)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK9)),sK30(sK9)) ),
inference(superposition,[status(thm)],[c_14333,c_54]) ).
tcf(c_14673,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(superposition,[status(thm)],[c_14333,c_228]) ).
tcf(c_14681,plain,
( v3_struct_0(sK7)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK7)),sK30(sK7)) ),
inference(superposition,[status(thm)],[c_14336,c_54]) ).
tcf(c_14682,plain,
( v3_struct_0(sK7)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK7))) ),
inference(superposition,[status(thm)],[c_14336,c_228]) ).
tcf(c_14694,plain,
( v3_struct_0(sK4)
| ( k1_filter_2(sK4) = k1_filter_0(sK4) )
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10393,c_209]) ).
tcf(c_14697,plain,
( v3_struct_0(sK32)
| ( k1_filter_2(sK32) = k1_filter_0(sK32) )
| ~ l3_lattices(sK32) ),
inference(superposition,[status(thm)],[c_208,c_209]) ).
tcf(c_14698,plain,
k1_filter_2(sK32) = k1_filter_0(sK32),
inference(forward_subsumption_resolution,[status(thm)],[c_14697,c_200,c_199]) ).
tcf(c_14699,plain,
( v3_struct_0(sK4)
| ( k1_filter_0(sK4) = iPr_def_16 )
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_14694,c_10390]) ).
tcf(c_14700,plain,
k1_filter_0(sK4) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_14699,c_10394,c_10392]) ).
tcf(c_14723,plain,
( sP0(iPr_def_14,sK4,k23_filter_2(sK4,iPr_def_14))
| ~ sP1(iPr_def_15,sK4,iPr_def_14) ),
inference(superposition,[status(thm)],[c_10389,c_65]) ).
tcf(c_14724,plain,
( sP0(iPr_def_16,sK4,k23_filter_2(sK4,iPr_def_16))
| ~ sP1(iPr_def_17,sK4,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10391,c_65]) ).
tcf(c_14725,plain,
( sP0(iPr_def_16,sK4,iPr_def_17)
| ~ sP1(iPr_def_17,sK4,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_14724,c_10391]) ).
tcf(c_14728,plain,
( sP0(iPr_def_14,sK4,iPr_def_15)
| ~ sP1(iPr_def_15,sK4,iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_14723,c_10389]) ).
tcf(c_14741,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(k7_relat_1(X0,X1),k2_zfmisc_1(X2,X2)) = k1_realset1(k7_relat_1(X0,X1),X2) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_93,c_84]) ).
tcf(c_14742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(k1_realset1(X0,X1),k2_zfmisc_1(X2,X2)) = k1_realset1(k1_realset1(X0,X1),X2) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_128,c_84]) ).
tcf(c_14743,plain,
! [X0: $i] : k7_relat_1(sK19,k2_zfmisc_1(X0,X0)) = k1_realset1(sK19,X0),
inference(superposition,[status(thm)],[c_164,c_84]) ).
tcf(c_14744,plain,
! [X0: $i] : k7_relat_1(sK27,k2_zfmisc_1(X0,X0)) = k1_realset1(sK27,X0),
inference(superposition,[status(thm)],[c_188,c_84]) ).
tcf(c_14745,plain,
! [X0: $i] : k7_relat_1(k1_xboole_0,k2_zfmisc_1(X0,X0)) = k1_realset1(k1_xboole_0,X0),
inference(superposition,[status(thm)],[c_14049,c_84]) ).
tcf(c_14746,plain,
! [X0: $i] :
( v3_struct_0(sK7)
| ( k7_relat_1(u1_lattices(sK7),k2_zfmisc_1(X0,X0)) = k1_realset1(u1_lattices(sK7),X0) )
| ~ v6_lattices(sK7) ),
inference(superposition,[status(thm)],[c_3012,c_84]) ).
tcf(c_14747,plain,
! [X0: $i] :
( v3_struct_0(sK7)
| ( k7_relat_1(u1_lattices(sK7),k2_zfmisc_1(X0,X0)) = k1_realset1(u1_lattices(sK7),X0) )
| ~ v7_lattices(sK7) ),
inference(superposition,[status(thm)],[c_3001,c_84]) ).
tcf(c_14748,plain,
! [X0: $i] :
( v3_struct_0(sK9)
| ( k7_relat_1(u2_lattices(sK9),k2_zfmisc_1(X0,X0)) = k1_realset1(u2_lattices(sK9),X0) )
| ~ v4_lattices(sK9) ),
inference(superposition,[status(thm)],[c_3139,c_84]) ).
tcf(c_14749,plain,
! [X0: $i] :
( v3_struct_0(sK9)
| ( k7_relat_1(u2_lattices(sK9),k2_zfmisc_1(X0,X0)) = k1_realset1(u2_lattices(sK9),X0) )
| ~ v5_lattices(sK9) ),
inference(superposition,[status(thm)],[c_3128,c_84]) ).
tcf(c_14750,plain,
! [X0: $i,X1: $i,X2: $i] : k7_relat_1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X2,X2)) = k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),
inference(superposition,[status(thm)],[c_14220,c_84]) ).
tcf(c_14751,plain,
! [X0: $i,X1: $i,X2: $i] : k7_relat_1(k2_zfmisc_1(X0,X1),k2_zfmisc_1(X2,X2)) = k1_realset1(k2_zfmisc_1(X0,X1),X2),
inference(superposition,[status(thm)],[c_14654,c_84]) ).
tcf(c_14787,plain,
( v3_struct_0(sK8)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK8)),sK30(sK8)) ),
inference(superposition,[status(thm)],[c_14643,c_54]) ).
tcf(c_14788,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(superposition,[status(thm)],[c_14643,c_228]) ).
tcf(c_14804,plain,
( v3_struct_0(sK4)
| ~ v1_xboole_0(iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10384,c_3294]) ).
tcf(c_14805,plain,
~ v1_xboole_0(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_14804,c_10394,c_10392]) ).
tcf(c_14810,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ( k7_relat_1(sK22(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X2,X2)) = k1_realset1(sK22(k2_zfmisc_1(X0,X1)),X2) ) ),
inference(superposition,[status(thm)],[c_14221,c_84]) ).
tcf(c_14818,plain,
! [X0: $i,X1: $i] :
( ~ r1_tarski(k1_zfmisc_1(X1),X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_14330,c_14663]) ).
tcf(c_14834,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(sK19,X0))
| ~ v1_relat_1(sK19)
| ~ v1_funct_1(sK19) ),
inference(superposition,[status(thm)],[c_14743,c_143]) ).
tcf(c_14835,plain,
! [X0: $i] :
( v1_relat_1(k1_realset1(sK19,X0))
| ~ v1_relat_1(sK19) ),
inference(superposition,[status(thm)],[c_14743,c_93]) ).
tcf(c_14836,plain,
! [X0: $i] : v1_relat_1(k1_realset1(sK19,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_14835,c_164]) ).
tcf(c_14837,plain,
! [X0: $i] : v1_funct_1(k1_realset1(sK19,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_14834,c_164,c_165]) ).
tcf(c_14844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(k8_relset_1(X1,X2,X0,X3),X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_94,c_215]) ).
tcf(c_14852,plain,
! [X0: $i,X1: $i] : k4_relset_1(X0,X1,sK13(X0,X1)) = k1_relat_1(sK13(X0,X1)),
inference(superposition,[status(thm)],[c_122,c_210]) ).
tcf(c_14853,plain,
! [X0: $i,X1: $i] : k4_relset_1(X0,X1,sK18(X0,X1)) = k1_relat_1(sK18(X0,X1)),
inference(superposition,[status(thm)],[c_14246,c_210]) ).
tcf(c_14860,plain,
( v1_funct_2(iPr_def_12,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10386,c_5852]) ).
tcf(c_14861,plain,
( v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10384,c_5852]) ).
tcf(c_14864,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u1_lattices(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u1_lattices(X0),X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_5852,c_140]) ).
tcf(c_14865,plain,
( v1_funct_2(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_14861,c_10386]) ).
tcf(c_14866,plain,
v1_funct_2(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_14865,c_10392]) ).
tcf(c_14882,plain,
( m2_relset_1(iPr_def_12,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10386,c_5854]) ).
tcf(c_14883,plain,
( m2_relset_1(u1_lattices(sK4),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10384,c_5854]) ).
tcf(c_14886,plain,
! [X0: $i] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_5854,c_215]) ).
tcf(c_14887,plain,
( m2_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_14883,c_10386]) ).
tcf(c_14888,plain,
m2_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_14887,c_10392]) ).
tcf(c_14894,plain,
! [X0: $i,X1: $i] : k7_relat_1(k1_realset1(sK19,X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k1_realset1(sK19,X0),X1),
inference(superposition,[status(thm)],[c_14836,c_84]) ).
tcf(c_14896,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| ~ v1_funct_1(iPr_def_12)
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,X0))
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_140]) ).
tcf(c_14897,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,X0))
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14896,c_14805,c_13966]) ).
tcf(c_14904,plain,
m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_14888,c_215]) ).
tcf(c_14905,plain,
k4_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,iPr_def_12) = k1_relat_1(iPr_def_12),
inference(superposition,[status(thm)],[c_14904,c_210]) ).
tcf(c_14907,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,X0))
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_14897,c_14897,c_14904]) ).
tcf(c_14908,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(renaming,[status(thm)],[c_14907]) ).
tcf(c_14918,plain,
( ~ v1_funct_1(iPr_def_12)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_14908]) ).
tcf(c_14919,plain,
~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_14918,c_13966,c_14904]) ).
tcf(c_14920,plain,
( m1_subset_1(k1_relat_1(iPr_def_12),k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)))
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14905,c_92]) ).
tcf(c_14921,plain,
m1_subset_1(k1_relat_1(iPr_def_12),k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10))),
inference(forward_subsumption_resolution,[status(thm)],[c_14920,c_14904]) ).
tcf(c_14922,plain,
v1_relat_1(k1_relat_1(iPr_def_12)),
inference(superposition,[status(thm)],[c_14921,c_62]) ).
tcf(c_14923,plain,
r1_tarski(k1_relat_1(iPr_def_12),k2_zfmisc_1(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_14921,c_224]) ).
tcf(c_14924,plain,
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)))
| r2_hidden(k1_relat_1(iPr_def_12),k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_14921,c_222]) ).
tcf(c_14925,plain,
r2_hidden(k1_relat_1(iPr_def_12),k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10))),
inference(forward_subsumption_resolution,[status(thm)],[c_14924,c_130]) ).
tcf(c_14926,plain,
! [X0: $i] : k7_relat_1(k1_relat_1(iPr_def_12),k2_zfmisc_1(X0,X0)) = k1_realset1(k1_relat_1(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_14922,c_84]) ).
tcf(c_14929,plain,
~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)),k1_relat_1(iPr_def_12)),
inference(superposition,[status(thm)],[c_14925,c_54]) ).
tcf(c_14930,plain,
~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10))),
inference(superposition,[status(thm)],[c_14925,c_228]) ).
tcf(c_14932,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(sK27,X0))
| ~ v1_relat_1(sK27)
| ~ v1_funct_1(sK27) ),
inference(superposition,[status(thm)],[c_14744,c_143]) ).
tcf(c_14933,plain,
! [X0: $i] :
( v1_relat_1(k1_realset1(sK27,X0))
| ~ v1_relat_1(sK27) ),
inference(superposition,[status(thm)],[c_14744,c_93]) ).
tcf(c_14934,plain,
! [X0: $i] : v1_relat_1(k1_realset1(sK27,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_14933,c_188]) ).
tcf(c_14935,plain,
! [X0: $i] : v1_funct_1(k1_realset1(sK27,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_14932,c_188,c_189]) ).
tcf(c_14942,plain,
( v1_funct_2(iPr_def_11,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10385,c_5858]) ).
tcf(c_14943,plain,
( v1_funct_2(u2_lattices(sK4),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10384,c_5858]) ).
tcf(c_14946,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u2_lattices(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u2_lattices(X0),X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_5858,c_140]) ).
tcf(c_14947,plain,
( v1_funct_2(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_14943,c_10385]) ).
tcf(c_14948,plain,
v1_funct_2(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_14947,c_10392]) ).
tcf(c_14964,plain,
( m2_relset_1(iPr_def_11,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10385,c_5860]) ).
tcf(c_14965,plain,
( m2_relset_1(u2_lattices(sK4),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10384,c_5860]) ).
tcf(c_14968,plain,
! [X0: $i] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_5860,c_215]) ).
tcf(c_14969,plain,
( m2_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_14965,c_10385]) ).
tcf(c_14970,plain,
m2_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_14969,c_10392]) ).
tcf(c_15003,plain,
! [X0: $i,X1: $i] : k7_relat_1(k1_realset1(sK27,X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k1_realset1(sK27,X0),X1),
inference(superposition,[status(thm)],[c_14934,c_84]) ).
tcf(c_15005,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| ~ v1_funct_1(iPr_def_11)
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,X0))
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_140]) ).
tcf(c_15006,plain,
( ~ v1_funct_1(iPr_def_11)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_14908]) ).
tcf(c_15007,plain,
( ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15006,c_13972]) ).
tcf(c_15010,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,X0))
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15005,c_14805,c_13972]) ).
tcf(c_15017,plain,
m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_14970,c_215]) ).
tcf(c_15018,plain,
k4_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,iPr_def_11) = k1_relat_1(iPr_def_11),
inference(superposition,[status(thm)],[c_15017,c_210]) ).
tcf(c_15020,plain,
~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)),
inference(global_subsumption_just,[status(thm)],[c_15007,c_15007,c_15017]) ).
tcf(c_15022,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,X0))
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(global_subsumption_just,[status(thm)],[c_15010,c_15010,c_15017]) ).
tcf(c_15023,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(renaming,[status(thm)],[c_15022]) ).
tcf(c_15034,plain,
( ~ v1_funct_1(iPr_def_12)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_12))
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_15023]) ).
tcf(c_15035,plain,
( ~ v1_funct_1(iPr_def_11)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_15023]) ).
tcf(c_15036,plain,
~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_15035,c_13972,c_15017]) ).
tcf(c_15037,plain,
( ~ v1_funct_1(iPr_def_12)
| ~ v3_struct_0(iPr_def_13)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_15034,c_10387]) ).
tcf(c_15038,plain,
~ v3_struct_0(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_15037,c_13966,c_14904]) ).
tcf(c_15044,plain,
( m1_subset_1(k1_relat_1(iPr_def_11),k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)))
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_15018,c_92]) ).
tcf(c_15045,plain,
m1_subset_1(k1_relat_1(iPr_def_11),k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10))),
inference(forward_subsumption_resolution,[status(thm)],[c_15044,c_15017]) ).
tcf(c_15046,plain,
v1_relat_1(k1_relat_1(iPr_def_11)),
inference(superposition,[status(thm)],[c_15045,c_62]) ).
tcf(c_15047,plain,
r1_tarski(k1_relat_1(iPr_def_11),k2_zfmisc_1(iPr_def_10,iPr_def_10)),
inference(superposition,[status(thm)],[c_15045,c_224]) ).
tcf(c_15048,plain,
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)))
| r2_hidden(k1_relat_1(iPr_def_11),k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_15045,c_222]) ).
tcf(c_15049,plain,
r2_hidden(k1_relat_1(iPr_def_11),k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10))),
inference(forward_subsumption_resolution,[status(thm)],[c_15048,c_130]) ).
tcf(c_15064,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(k1_xboole_0,X0))
| ~ v1_relat_1(k1_xboole_0)
| ~ v1_funct_1(k1_xboole_0) ),
inference(superposition,[status(thm)],[c_14745,c_143]) ).
tcf(c_15065,plain,
! [X0: $i] :
( v1_relat_1(k1_realset1(k1_xboole_0,X0))
| ~ v1_relat_1(k1_xboole_0) ),
inference(superposition,[status(thm)],[c_14745,c_93]) ).
tcf(c_15066,plain,
! [X0: $i] : v1_relat_1(k1_realset1(k1_xboole_0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_15065,c_14049]) ).
tcf(c_15067,plain,
! [X0: $i] : v1_funct_1(k1_realset1(k1_xboole_0,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_15064,c_14049,c_13928]) ).
tcf(c_15111,plain,
( v3_struct_0(sK4)
| ( u1_struct_0(sK4) = k1_filter_0(sK4) )
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10393,c_83]) ).
tcf(c_15114,plain,
( v3_struct_0(sK32)
| ( u1_struct_0(sK32) = k1_filter_0(sK32) )
| ~ l3_lattices(sK32) ),
inference(superposition,[status(thm)],[c_208,c_83]) ).
tcf(c_15115,plain,
( v3_struct_0(sK32)
| ( u1_struct_0(sK32) = k1_filter_2(sK32) )
| ~ l3_lattices(sK32) ),
inference(light_normalisation,[status(thm)],[c_15114,c_14698]) ).
tcf(c_15116,plain,
u1_struct_0(sK32) = k1_filter_2(sK32),
inference(forward_subsumption_resolution,[status(thm)],[c_15115,c_200,c_199]) ).
tcf(c_15117,plain,
( v3_struct_0(sK4)
| ( iPr_def_10 = iPr_def_16 )
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_15111,c_10384,c_14700]) ).
tcf(c_15118,plain,
iPr_def_10 = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_15117,c_10394,c_10392]) ).
tcf(c_15127,plain,
u1_struct_0(sK32) = k1_filter_0(sK32),
inference(demodulation,[status(thm)],[c_14698,c_15116]) ).
tcf(c_15128,plain,
( sP0(iPr_def_10,sK4,iPr_def_17)
| ~ sP1(iPr_def_17,sK4,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_14725,c_15118]) ).
tcf(c_15129,plain,
k1_filter_0(sK4) = iPr_def_10,
inference(demodulation,[status(thm)],[c_14700,c_15118]) ).
tcf(c_15137,plain,
k23_filter_2(sK4,iPr_def_10) = iPr_def_17,
inference(demodulation,[status(thm)],[c_10391,c_15118]) ).
tcf(c_15138,plain,
k1_filter_2(sK4) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10390,c_15118]) ).
tcf(c_15165,plain,
( v3_struct_0(sK4)
| ( k17_filter_2(sK4) = u1_struct_0(sK4) )
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10393,c_85]) ).
tcf(c_15168,plain,
( v3_struct_0(sK32)
| ( k17_filter_2(sK32) = u1_struct_0(sK32) )
| ~ l3_lattices(sK32) ),
inference(superposition,[status(thm)],[c_208,c_85]) ).
tcf(c_15169,plain,
k17_filter_2(sK32) = u1_struct_0(sK32),
inference(forward_subsumption_resolution,[status(thm)],[c_15168,c_200,c_199]) ).
tcf(c_15170,plain,
( v3_struct_0(sK4)
| ( iPr_def_10 = iPr_def_14 )
| ~ l3_lattices(sK4) ),
inference(light_normalisation,[status(thm)],[c_15165,c_10384,c_10388]) ).
tcf(c_15171,plain,
iPr_def_10 = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_15170,c_10394,c_10392]) ).
tcf(c_15187,plain,
k23_filter_2(sK4,iPr_def_10) = iPr_def_15,
inference(demodulation,[status(thm)],[c_10389,c_15171]) ).
tcf(c_15188,plain,
k17_filter_2(sK4) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10388,c_15171]) ).
tcf(c_15205,plain,
! [X0: $i] : k7_relat_1(k1_relat_1(iPr_def_11),k2_zfmisc_1(X0,X0)) = k1_realset1(k1_relat_1(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_15046,c_84]) ).
tcf(c_15207,plain,
! [X0: $i,X1: $i] : k7_relat_1(k1_realset1(k1_xboole_0,X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k1_realset1(k1_xboole_0,X0),X1),
inference(superposition,[status(thm)],[c_15066,c_84]) ).
tcf(c_15235,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(sK17(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_126,c_107]) ).
tcf(c_15251,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(sK17(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_126,c_108]) ).
tcf(c_15268,plain,
! [X0: $i] :
( ( k7_relat_1(X0,k1_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_219,c_230]) ).
tcf(c_15269,plain,
( ( k7_relat_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10)) = iPr_def_12 )
| ~ v1_relat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_14923,c_230]) ).
tcf(c_15278,plain,
( ( k7_relat_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10)) = iPr_def_11 )
| ~ v1_relat_1(iPr_def_11) ),
inference(superposition,[status(thm)],[c_15047,c_230]) ).
tcf(c_15290,plain,
iPr_def_15 = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_15137,c_15187]) ).
tcf(c_15297,plain,
iPr_def_13 != iPr_def_15,
inference(demodulation,[status(thm)],[c_10395,c_15290]) ).
tcf(c_15336,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v3_struct_0(sK17(X0)) ),
inference(superposition,[status(thm)],[c_126,c_106]) ).
tcf(c_15351,plain,
! [X0: $i,X1: $i,X2: $i] : k8_relset_1(X0,X1,sK13(X0,X1),X2) = k7_relat_1(sK13(X0,X1),X2),
inference(superposition,[status(thm)],[c_122,c_211]) ).
tcf(c_15352,plain,
! [X0: $i,X1: $i,X2: $i] : k8_relset_1(X0,X1,sK18(X0,X1),X2) = k7_relat_1(sK18(X0,X1),X2),
inference(superposition,[status(thm)],[c_14246,c_211]) ).
tcf(c_15353,plain,
! [X0: $i] : k8_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,iPr_def_12,X0) = k7_relat_1(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_14904,c_211]) ).
tcf(c_15354,plain,
! [X0: $i] : k8_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,iPr_def_11,X0) = k7_relat_1(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_15017,c_211]) ).
tcf(c_15367,plain,
( ( g3_lattices(u1_struct_0(sK28),u2_lattices(sK28),u1_lattices(sK28)) = sK28 )
| ~ l3_lattices(sK28) ),
inference(superposition,[status(thm)],[c_191,c_53]) ).
tcf(c_15368,plain,
( ( g3_lattices(u1_struct_0(sK31),u2_lattices(sK31),u1_lattices(sK31)) = sK31 )
| ~ l3_lattices(sK31) ),
inference(superposition,[status(thm)],[c_198,c_53]) ).
tcf(c_15369,plain,
( ( g3_lattices(u1_struct_0(sK32),u2_lattices(sK32),u1_lattices(sK32)) = sK32 )
| ~ l3_lattices(sK32) ),
inference(superposition,[status(thm)],[c_201,c_53]) ).
tcf(c_15370,plain,
g3_lattices(u1_struct_0(sK32),u2_lattices(sK32),u1_lattices(sK32)) = sK32,
inference(forward_subsumption_resolution,[status(thm)],[c_15369,c_199]) ).
tcf(c_15371,plain,
g3_lattices(u1_struct_0(sK31),u2_lattices(sK31),u1_lattices(sK31)) = sK31,
inference(forward_subsumption_resolution,[status(thm)],[c_15368,c_196]) ).
tcf(c_15372,plain,
g3_lattices(u1_struct_0(sK28),u2_lattices(sK28),u1_lattices(sK28)) = sK28,
inference(forward_subsumption_resolution,[status(thm)],[c_15367,c_190]) ).
tcf(c_15385,plain,
( sP0(iPr_def_10,sK4,k23_filter_2(sK4,iPr_def_10))
| ~ sP1(iPr_def_15,sK4,iPr_def_10) ),
inference(superposition,[status(thm)],[c_15187,c_65]) ).
tcf(c_15387,plain,
( sP0(iPr_def_10,sK4,iPr_def_15)
| ~ sP1(iPr_def_15,sK4,iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_15385,c_15187]) ).
tcf(c_15390,plain,
~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)),k1_relat_1(iPr_def_11)),
inference(superposition,[status(thm)],[c_15049,c_54]) ).
tcf(c_15411,plain,
! [X0: $i] :
( m2_relset_1(k7_relat_1(iPr_def_12,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_15353,c_94]) ).
tcf(c_15412,plain,
! [X0: $i] : m2_relset_1(k7_relat_1(iPr_def_12,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_15411,c_14904]) ).
tcf(c_15414,plain,
! [X0: $i] : m1_relset_1(k7_relat_1(iPr_def_12,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_15412,c_215]) ).
tcf(c_15416,plain,
! [X0: $i] :
( m2_relset_1(k7_relat_1(iPr_def_11,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_15354,c_94]) ).
tcf(c_15417,plain,
! [X0: $i] : m2_relset_1(k7_relat_1(iPr_def_11,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_15416,c_15017]) ).
tcf(c_15419,plain,
! [X0: $i] : m1_relset_1(k7_relat_1(iPr_def_11,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_15417,c_215]) ).
tcf(c_15467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_relset_1(k1_xboole_0,X0,k8_relset_1(k1_xboole_0,X0,X1,X2)) = k1_xboole_0 )
| ~ m1_relset_1(X1,k1_xboole_0,X0)
| ~ v1_funct_2(k8_relset_1(k1_xboole_0,X0,X1,X2),k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_94,c_79]) ).
tcf(c_15468,plain,
! [X0: $i] :
( ( k4_relset_1(k1_xboole_0,X0,sK18(k1_xboole_0,X0)) = k1_xboole_0 )
| ~ v1_funct_2(sK18(k1_xboole_0,X0),k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_127,c_79]) ).
tcf(c_15469,plain,
! [X0: $i] :
( ( k4_relset_1(k1_xboole_0,X0,sK13(k1_xboole_0,X0)) = k1_xboole_0 )
| ~ v1_funct_2(sK13(k1_xboole_0,X0),k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_14240,c_79]) ).
tcf(c_15490,plain,
! [X0: $i] :
( v3_struct_0(sK4)
| m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4)
| ~ m2_lattice4(X0,sK4) ),
inference(superposition,[status(thm)],[c_10384,c_105]) ).
tcf(c_15491,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r1_tarski(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_224]) ).
tcf(c_15492,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_222]) ).
tcf(c_15498,plain,
! [X0: $i] :
( m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ m2_lattice4(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15490,c_10394,c_10392,c_10393]) ).
tcf(c_15501,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15492,c_130]) ).
tcf(c_15510,plain,
! [X0: $i,X1: $i] : k8_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,k7_relat_1(iPr_def_12,X0),X1) = k7_relat_1(k7_relat_1(iPr_def_12,X0),X1),
inference(superposition,[status(thm)],[c_15414,c_211]) ).
tcf(c_15511,plain,
! [X0: $i] : k4_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,k7_relat_1(iPr_def_12,X0)) = k1_relat_1(k7_relat_1(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_15414,c_210]) ).
tcf(c_15515,plain,
! [X0: $i,X1: $i] : k8_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,k7_relat_1(iPr_def_11,X0),X1) = k7_relat_1(k7_relat_1(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_15419,c_211]) ).
tcf(c_15516,plain,
! [X0: $i] : k4_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,k7_relat_1(iPr_def_11,X0)) = k1_relat_1(k7_relat_1(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_15419,c_210]) ).
tcf(c_15524,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X0,sK4) ),
inference(superposition,[status(thm)],[c_15498,c_224]) ).
tcf(c_15525,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(iPr_def_10))
| r2_hidden(X0,k1_zfmisc_1(iPr_def_10))
| ~ m2_lattice4(X0,sK4) ),
inference(superposition,[status(thm)],[c_15498,c_222]) ).
tcf(c_15528,plain,
! [X0: $i] :
( r2_hidden(X0,k1_zfmisc_1(iPr_def_10))
| ~ m2_lattice4(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15525,c_130]) ).
tcf(c_15537,plain,
( v3_struct_0(sK4)
| r1_tarski(sK16(sK4),iPr_def_10)
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4) ),
inference(superposition,[status(thm)],[c_125,c_15524]) ).
tcf(c_15538,plain,
( v3_struct_0(sK4)
| r1_tarski(sK20(sK4),iPr_def_10)
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4) ),
inference(superposition,[status(thm)],[c_166,c_15524]) ).
tcf(c_15539,plain,
r1_tarski(sK20(sK4),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_15538,c_10394,c_10392,c_10393]) ).
tcf(c_15540,plain,
r1_tarski(sK16(sK4),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_15537,c_10394,c_10392,c_10393]) ).
tcf(c_15545,plain,
! [X0: $i] :
( ~ m2_lattice4(X0,sK4)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_15528,c_54]) ).
tcf(c_15546,plain,
! [X0: $i] :
( ~ v1_xboole_0(k1_zfmisc_1(iPr_def_10))
| ~ m2_lattice4(X0,sK4) ),
inference(superposition,[status(thm)],[c_15528,c_228]) ).
tcf(c_15548,plain,
! [X0: $i] :
( ~ r1_tarski(k1_zfmisc_1(iPr_def_10),X0)
| ~ m2_lattice4(k1_zfmisc_1(X0),sK4) ),
inference(superposition,[status(thm)],[c_15528,c_14663]) ).
tcf(c_15574,plain,
~ m2_lattice4(k1_zfmisc_1(iPr_def_10),sK4),
inference(superposition,[status(thm)],[c_15528,c_15545]) ).
tcf(c_15611,plain,
( v1_xboole_0(iPr_def_10)
| v3_struct_0(sK4)
| m2_nat_lat(iPr_def_15,sK4)
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4)
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(superposition,[status(thm)],[c_15187,c_91]) ).
tcf(c_15612,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| ~ v3_struct_0(k23_filter_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_91,c_106]) ).
tcf(c_15613,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(superposition,[status(thm)],[c_91,c_108]) ).
tcf(c_15614,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(superposition,[status(thm)],[c_91,c_107]) ).
tcf(c_15615,plain,
( m2_nat_lat(iPr_def_15,sK4)
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15611,c_14805,c_10394,c_10392,c_10393]) ).
tcf(c_15673,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(k1_relat_1(iPr_def_12),X0))
| ~ v1_relat_1(k1_relat_1(iPr_def_12))
| ~ v1_funct_1(k1_relat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_14926,c_143]) ).
tcf(c_15674,plain,
! [X0: $i] :
( v1_relat_1(k1_realset1(k1_relat_1(iPr_def_12),X0))
| ~ v1_relat_1(k1_relat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_14926,c_93]) ).
tcf(c_15675,plain,
! [X0: $i] : v1_relat_1(k1_realset1(k1_relat_1(iPr_def_12),X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_15674,c_14922]) ).
tcf(c_15676,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(k1_relat_1(iPr_def_12),X0))
| ~ v1_funct_1(k1_relat_1(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15673,c_14922]) ).
tcf(c_15681,plain,
! [X0: $i,X1: $i] : k7_relat_1(k1_realset1(k1_relat_1(iPr_def_12),X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k1_realset1(k1_relat_1(iPr_def_12),X0),X1),
inference(superposition,[status(thm)],[c_15675,c_84]) ).
tcf(c_15687,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(k1_relat_1(iPr_def_11),X0))
| ~ v1_relat_1(k1_relat_1(iPr_def_11))
| ~ v1_funct_1(k1_relat_1(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15205,c_143]) ).
tcf(c_15688,plain,
! [X0: $i] :
( v1_relat_1(k1_realset1(k1_relat_1(iPr_def_11),X0))
| ~ v1_relat_1(k1_relat_1(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15205,c_93]) ).
tcf(c_15689,plain,
! [X0: $i] : v1_relat_1(k1_realset1(k1_relat_1(iPr_def_11),X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_15688,c_15046]) ).
tcf(c_15690,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(k1_relat_1(iPr_def_11),X0))
| ~ v1_funct_1(k1_relat_1(iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15687,c_15046]) ).
tcf(c_15700,plain,
! [X0: $i,X1: $i] : k7_relat_1(k1_realset1(k1_relat_1(iPr_def_11),X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k1_realset1(k1_relat_1(iPr_def_11),X0),X1),
inference(superposition,[status(thm)],[c_15689,c_84]) ).
tcf(c_15712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| ( k4_relset_1(X0,X2,X3) = X1 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_relset_1(X3,X0,X2)
| ~ r1_filter_2(X0,X1,k4_relset_1(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_92,c_217]) ).
tcf(c_15713,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ( X1 = X2 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_lattice4(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_105,c_217]) ).
tcf(c_15714,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( sK14(k1_zfmisc_1(X0)) = X1 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,sK14(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_123,c_217]) ).
tcf(c_15715,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( sK22(X0) = X1 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,sK22(X0)) ),
inference(superposition,[status(thm)],[c_179,c_217]) ).
tcf(c_15716,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ( X1 = X2 )
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_223,c_217]) ).
tcf(c_15717,plain,
! [X0: $i] :
( v3_struct_0(sK8)
| v1_xboole_0(u1_struct_0(sK8))
| ( sK30(sK8) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK8)))
| ~ r1_filter_2(u1_struct_0(sK8),X0,sK30(sK8)) ),
inference(superposition,[status(thm)],[c_6055,c_217]) ).
tcf(c_15718,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK29))
| ( sK30(sK29) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK29)))
| ~ r1_filter_2(u1_struct_0(sK29),X0,sK30(sK29)) ),
inference(superposition,[status(thm)],[c_3338,c_217]) ).
tcf(c_15719,plain,
! [X0: $i] :
( v3_struct_0(sK7)
| v1_xboole_0(u1_struct_0(sK7))
| ( sK30(sK7) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK7)))
| ~ r1_filter_2(u1_struct_0(sK7),X0,sK30(sK7)) ),
inference(superposition,[status(thm)],[c_6041,c_217]) ).
tcf(c_15720,plain,
! [X0: $i] :
( v3_struct_0(sK9)
| v1_xboole_0(u1_struct_0(sK9))
| ( sK30(sK9) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK9)))
| ~ r1_filter_2(u1_struct_0(sK9),X0,sK30(sK9)) ),
inference(superposition,[status(thm)],[c_6047,c_217]) ).
tcf(c_15721,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| ( X0 = k1_xboole_0 )
| ~ r1_filter_2(X1,X0,k1_xboole_0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_14051,c_217]) ).
tcf(c_15722,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(iPr_def_10,iPr_def_10))
| ( k1_relat_1(iPr_def_12) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)))
| ~ r1_filter_2(k2_zfmisc_1(iPr_def_10,iPr_def_10),X0,k1_relat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_14921,c_217]) ).
tcf(c_15723,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(iPr_def_10,iPr_def_10))
| ( k1_relat_1(iPr_def_11) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)))
| ~ r1_filter_2(k2_zfmisc_1(iPr_def_10,iPr_def_10),X0,k1_relat_1(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15045,c_217]) ).
tcf(c_15724,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(iPr_def_10)
| ( X0 = X1 )
| ~ m2_lattice4(X1,sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_15498,c_217]) ).
tcf(c_15733,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m2_lattice4(X1,sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15724,c_14805]) ).
tcf(c_15747,plain,
! [X0: $i] :
( ( sK30(sK29) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK29)))
| ~ r1_filter_2(u1_struct_0(sK29),X0,sK30(sK29)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15718,c_3345]) ).
tcf(c_15813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| r1_filter_2(X0,k4_relset_1(X0,X2,X3),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_relset_1(X3,X0,X2)
| ~ r1_filter_2(X0,X1,k4_relset_1(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_92,c_220]) ).
tcf(c_15814,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r1_filter_2(u1_struct_0(X0),X2,X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_lattice4(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_105,c_220]) ).
tcf(c_15815,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r1_filter_2(X0,sK14(k1_zfmisc_1(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,sK14(k1_zfmisc_1(X0))) ),
inference(superposition,[status(thm)],[c_123,c_220]) ).
tcf(c_15816,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| r1_filter_2(X0,sK22(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,sK22(X0)) ),
inference(superposition,[status(thm)],[c_179,c_220]) ).
tcf(c_15817,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| r1_filter_2(X0,X2,X1)
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_223,c_220]) ).
tcf(c_15818,plain,
! [X0: $i] :
( v3_struct_0(sK8)
| v1_xboole_0(u1_struct_0(sK8))
| r1_filter_2(u1_struct_0(sK8),sK30(sK8),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK8)))
| ~ r1_filter_2(u1_struct_0(sK8),X0,sK30(sK8)) ),
inference(superposition,[status(thm)],[c_6055,c_220]) ).
tcf(c_15819,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK29))
| r1_filter_2(u1_struct_0(sK29),sK30(sK29),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK29)))
| ~ r1_filter_2(u1_struct_0(sK29),X0,sK30(sK29)) ),
inference(superposition,[status(thm)],[c_3338,c_220]) ).
tcf(c_15820,plain,
! [X0: $i] :
( v3_struct_0(sK7)
| v1_xboole_0(u1_struct_0(sK7))
| r1_filter_2(u1_struct_0(sK7),sK30(sK7),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK7)))
| ~ r1_filter_2(u1_struct_0(sK7),X0,sK30(sK7)) ),
inference(superposition,[status(thm)],[c_6041,c_220]) ).
tcf(c_15821,plain,
! [X0: $i] :
( v3_struct_0(sK9)
| v1_xboole_0(u1_struct_0(sK9))
| r1_filter_2(u1_struct_0(sK9),sK30(sK9),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK9)))
| ~ r1_filter_2(u1_struct_0(sK9),X0,sK30(sK9)) ),
inference(superposition,[status(thm)],[c_6047,c_220]) ).
tcf(c_15822,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_filter_2(X1,k1_xboole_0,X0)
| ~ r1_filter_2(X1,X0,k1_xboole_0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(superposition,[status(thm)],[c_14051,c_220]) ).
tcf(c_15823,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(iPr_def_10,iPr_def_10))
| r1_filter_2(k2_zfmisc_1(iPr_def_10,iPr_def_10),k1_relat_1(iPr_def_12),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)))
| ~ r1_filter_2(k2_zfmisc_1(iPr_def_10,iPr_def_10),X0,k1_relat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_14921,c_220]) ).
tcf(c_15824,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(iPr_def_10,iPr_def_10))
| r1_filter_2(k2_zfmisc_1(iPr_def_10,iPr_def_10),k1_relat_1(iPr_def_11),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)))
| ~ r1_filter_2(k2_zfmisc_1(iPr_def_10,iPr_def_10),X0,k1_relat_1(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_15045,c_220]) ).
tcf(c_15825,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,X1,X0)
| ~ m2_lattice4(X1,sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_15498,c_220]) ).
tcf(c_15834,plain,
! [X0: $i,X1: $i] :
( r1_filter_2(iPr_def_10,X1,X0)
| ~ m2_lattice4(X1,sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15825,c_14805]) ).
tcf(c_15848,plain,
! [X0: $i] :
( r1_filter_2(u1_struct_0(sK29),sK30(sK29),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK29)))
| ~ r1_filter_2(u1_struct_0(sK29),X0,sK30(sK29)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15819,c_3345]) ).
tcf(c_15913,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ( k23_filter_2(X1,X0) = X2 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1)
| ~ m2_nat_lat(X2,X1)
| ~ sP0(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_76,c_64]) ).
tcf(c_15914,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v3_struct_0(X0)
| sP0(X1,X0,k23_filter_2(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| ~ m2_nat_lat(k23_filter_2(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_76,c_65]) ).
tcf(c_15915,plain,
( v1_xboole_0(iPr_def_10)
| v3_struct_0(sK4)
| sP0(iPr_def_10,sK4,iPr_def_15)
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4)
| ~ m2_lattice4(iPr_def_10,sK4)
| ~ m2_nat_lat(iPr_def_15,sK4) ),
inference(superposition,[status(thm)],[c_76,c_15387]) ).
tcf(c_15916,plain,
( sP0(iPr_def_10,sK4,iPr_def_15)
| ~ m2_lattice4(iPr_def_10,sK4)
| ~ m2_nat_lat(iPr_def_15,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15915,c_14805,c_10394,c_10392,c_10393]) ).
tcf(c_15955,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),X1))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_5852,c_86]) ).
tcf(c_15956,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),X1))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_5858,c_86]) ).
tcf(c_15957,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_12,X0))
| ~ v1_funct_1(iPr_def_12)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_86]) ).
tcf(c_15958,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_11,X0))
| ~ v1_funct_1(iPr_def_11)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_86]) ).
tcf(c_15959,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_11,X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15958,c_13972,c_15017]) ).
tcf(c_15964,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_12,X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15957,c_13966,c_14904]) ).
tcf(c_16013,plain,
m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)),
inference(superposition,[status(thm)],[c_3023,c_215]) ).
tcf(c_16014,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK7),u1_lattices(sK7),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK7))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)) ),
inference(superposition,[status(thm)],[c_3028,c_86]) ).
tcf(c_16015,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK7))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK7),u1_lattices(sK7),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)) ),
inference(superposition,[status(thm)],[c_3028,c_140]) ).
tcf(c_16016,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK7),u1_lattices(sK7),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16014,c_3033]) ).
tcf(c_16022,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK7))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK7),u1_lattices(sK7),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16015,c_3033]) ).
tcf(c_16033,plain,
m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)),
inference(superposition,[status(thm)],[c_3150,c_215]) ).
tcf(c_16034,plain,
( sP0(iPr_def_10,sK4,iPr_def_15)
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_15916,c_15615,c_15916]) ).
tcf(c_16069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_relset_1(iPr_def_10,X0,X1) = X2 )
| ~ m2_lattice4(X2,sK4)
| ~ m1_relset_1(X1,iPr_def_10,X0)
| ~ r1_filter_2(iPr_def_10,k4_relset_1(iPr_def_10,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_92,c_15733]) ).
tcf(c_16070,plain,
! [X0: $i] :
( ( sK14(k1_zfmisc_1(iPr_def_10)) = X0 )
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK14(k1_zfmisc_1(iPr_def_10)),X0) ),
inference(superposition,[status(thm)],[c_123,c_15733]) ).
tcf(c_16071,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| ( sK22(iPr_def_10) = X0 )
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK22(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_179,c_15733]) ).
tcf(c_16072,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X1,sK4)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_223,c_15733]) ).
tcf(c_16073,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_14051,c_15733]) ).
tcf(c_16074,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ m2_lattice4(X1,sK4)
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_15498,c_15733]) ).
tcf(c_16086,plain,
! [X0: $i] :
( ( sK22(iPr_def_10) = X0 )
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK22(iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16071,c_14805]) ).
tcf(c_16129,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_filter_2(iPr_def_10,X2,k4_relset_1(iPr_def_10,X0,X1))
| ~ m2_lattice4(X2,sK4)
| ~ m1_relset_1(X1,iPr_def_10,X0)
| ~ r1_filter_2(iPr_def_10,k4_relset_1(iPr_def_10,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_92,c_15834]) ).
tcf(c_16130,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,sK14(k1_zfmisc_1(iPr_def_10)))
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK14(k1_zfmisc_1(iPr_def_10)),X0) ),
inference(superposition,[status(thm)],[c_123,c_15834]) ).
tcf(c_16131,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,X0,sK22(iPr_def_10))
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK22(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_179,c_15834]) ).
tcf(c_16132,plain,
! [X0: $i,X1: $i] :
( r1_filter_2(iPr_def_10,X1,X0)
| ~ r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X1,sK4)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_223,c_15834]) ).
tcf(c_16133,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,k1_xboole_0)
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_14051,c_15834]) ).
tcf(c_16134,plain,
! [X0: $i,X1: $i] :
( r1_filter_2(iPr_def_10,X1,X0)
| ~ m2_lattice4(X1,sK4)
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_15498,c_15834]) ).
tcf(c_16146,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,sK22(iPr_def_10))
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK22(iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16131,c_14805]) ).
tcf(c_16166,plain,
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,sK22(iPr_def_10),sK22(iPr_def_10))
| ~ r1_tarski(sK22(iPr_def_10),iPr_def_10)
| ~ m2_lattice4(sK22(iPr_def_10),sK4) ),
inference(superposition,[status(thm)],[c_844,c_16146]) ).
tcf(c_16167,plain,
( r1_filter_2(iPr_def_10,sK22(iPr_def_10),sK22(iPr_def_10))
| ~ r1_tarski(sK22(iPr_def_10),iPr_def_10)
| ~ m2_lattice4(sK22(iPr_def_10),sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16166,c_14805]) ).
tcf(c_16179,plain,
( r1_filter_2(iPr_def_10,sK22(iPr_def_10),sK22(iPr_def_10))
| ~ m2_lattice4(sK22(iPr_def_10),sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16167,c_15524]) ).
tcf(c_16189,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2))
| ~ v1_relat_1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_funct_1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_14750,c_143]) ).
tcf(c_16190,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2))
| ~ v1_relat_1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(superposition,[status(thm)],[c_14750,c_93]) ).
tcf(c_16191,plain,
! [X0: $i,X1: $i,X2: $i] : v1_relat_1(k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)),
inference(forward_subsumption_resolution,[status(thm)],[c_16190,c_14220]) ).
tcf(c_16192,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2))
| ~ v1_funct_1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16189,c_14220]) ).
tcf(c_16213,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),X1))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_5852,c_87]) ).
tcf(c_16214,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),X1))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_5858,c_87]) ).
tcf(c_16215,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK7),u1_lattices(sK7),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK7))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)) ),
inference(superposition,[status(thm)],[c_3028,c_87]) ).
tcf(c_16216,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,X0))
| ~ v1_funct_1(iPr_def_12)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_87]) ).
tcf(c_16217,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_11,X0))
| ~ v1_funct_1(iPr_def_11)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_87]) ).
tcf(c_16218,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_11,X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16217,c_13972,c_15017]) ).
tcf(c_16223,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16216,c_13966,c_14904]) ).
tcf(c_16228,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK7),u1_lattices(sK7),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16215,c_3033]) ).
tcf(c_16290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK28) = X0 )
| ~ v1_funct_1(u1_lattices(sK28))
| ~ v1_funct_1(u2_lattices(sK28))
| ~ m1_relset_1(u1_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ m1_relset_1(u2_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ v1_funct_2(u1_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ v1_funct_2(u2_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ( g3_lattices(X0,X1,X2) != sK28 ) ),
inference(superposition,[status(thm)],[c_15372,c_161]) ).
tcf(c_16291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK31) = X0 )
| ~ v1_funct_1(u1_lattices(sK31))
| ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ( g3_lattices(X0,X1,X2) != sK31 ) ),
inference(superposition,[status(thm)],[c_15371,c_161]) ).
tcf(c_16292,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK32) = X0 )
| ~ v1_funct_1(u1_lattices(sK32))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15370,c_161]) ).
tcf(c_16293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_10 )
| ~ v1_funct_1(iPr_def_12)
| ~ v1_funct_1(iPr_def_11)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_10387,c_161]) ).
tcf(c_16294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK28) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK28 ) ),
inference(superposition,[status(thm)],[c_15372,c_161]) ).
tcf(c_16295,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK31) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK31 ) ),
inference(superposition,[status(thm)],[c_15371,c_161]) ).
tcf(c_16296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK32) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15370,c_161]) ).
tcf(c_16307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_10 )
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16293,c_13966,c_13972,c_14904,c_15017,c_14866,c_14948]) ).
tcf(c_16383,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK28) = X1 )
| ~ v1_funct_1(u1_lattices(sK28))
| ~ v1_funct_1(u2_lattices(sK28))
| ~ m1_relset_1(u1_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ m1_relset_1(u2_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ v1_funct_2(u1_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ v1_funct_2(u2_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ( g3_lattices(X0,X1,X2) != sK28 ) ),
inference(superposition,[status(thm)],[c_15372,c_162]) ).
tcf(c_16384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK31) = X1 )
| ~ v1_funct_1(u1_lattices(sK31))
| ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ( g3_lattices(X0,X1,X2) != sK31 ) ),
inference(superposition,[status(thm)],[c_15371,c_162]) ).
tcf(c_16385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK32) = X1 )
| ~ v1_funct_1(u1_lattices(sK32))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15370,c_162]) ).
tcf(c_16386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = iPr_def_11 )
| ~ v1_funct_1(iPr_def_12)
| ~ v1_funct_1(iPr_def_11)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_10387,c_162]) ).
tcf(c_16387,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK28) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK28 ) ),
inference(superposition,[status(thm)],[c_15372,c_162]) ).
tcf(c_16388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK31) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK31 ) ),
inference(superposition,[status(thm)],[c_15371,c_162]) ).
tcf(c_16389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK32) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15370,c_162]) ).
tcf(c_16400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = iPr_def_11 )
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16386,c_13966,c_13972,c_14904,c_15017,c_14866,c_14948]) ).
tcf(c_16481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK28) = X2 )
| ~ v1_funct_1(u1_lattices(sK28))
| ~ v1_funct_1(u2_lattices(sK28))
| ~ m1_relset_1(u1_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ m1_relset_1(u2_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ v1_funct_2(u1_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ~ v1_funct_2(u2_lattices(sK28),k2_zfmisc_1(u1_struct_0(sK28),u1_struct_0(sK28)),u1_struct_0(sK28))
| ( g3_lattices(X0,X1,X2) != sK28 ) ),
inference(superposition,[status(thm)],[c_15372,c_163]) ).
tcf(c_16482,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK31) = X2 )
| ~ v1_funct_1(u1_lattices(sK31))
| ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ( g3_lattices(X0,X1,X2) != sK31 ) ),
inference(superposition,[status(thm)],[c_15371,c_163]) ).
tcf(c_16483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK32) = X2 )
| ~ v1_funct_1(u1_lattices(sK32))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15370,c_163]) ).
tcf(c_16484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = iPr_def_12 )
| ~ v1_funct_1(iPr_def_12)
| ~ v1_funct_1(iPr_def_11)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ v1_funct_2(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_10387,c_163]) ).
tcf(c_16485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK28) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK28 ) ),
inference(superposition,[status(thm)],[c_15372,c_163]) ).
tcf(c_16486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK31) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK31 ) ),
inference(superposition,[status(thm)],[c_15371,c_163]) ).
tcf(c_16487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK32) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15370,c_163]) ).
tcf(c_16498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = iPr_def_12 )
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16484,c_13966,c_13972,c_14904,c_15017,c_14866,c_14948]) ).
tcf(c_16558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : k7_relat_1(k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k2_zfmisc_1(X3,X3)) = k1_realset1(k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),X3),
inference(superposition,[status(thm)],[c_16191,c_84]) ).
tcf(c_16560,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK9),u2_lattices(sK9),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK9))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(superposition,[status(thm)],[c_3155,c_87]) ).
tcf(c_16561,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK9),u2_lattices(sK9),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK9))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(superposition,[status(thm)],[c_3155,c_86]) ).
tcf(c_16562,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK9))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK9))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK9),u2_lattices(sK9),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(superposition,[status(thm)],[c_3155,c_140]) ).
tcf(c_16563,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK9),u2_lattices(sK9),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16561,c_3160]) ).
tcf(c_16569,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK9),u2_lattices(sK9),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16560,c_3160]) ).
tcf(c_16575,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK9))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK9),u2_lattices(sK9),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16562,c_3160]) ).
tcf(c_16591,plain,
! [X0: $i] : ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X0),
inference(superposition,[status(thm)],[c_219,c_14818]) ).
tcf(c_16599,plain,
( ( u1_struct_0(sK28) = iPr_def_10 )
| ( sK28 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15372,c_16307]) ).
tcf(c_16600,plain,
( ( u1_struct_0(sK31) = iPr_def_10 )
| ( sK31 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15371,c_16307]) ).
tcf(c_16601,plain,
( ( u1_struct_0(sK32) = iPr_def_10 )
| ( sK32 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15370,c_16307]) ).
tcf(c_16615,plain,
( ( u2_lattices(sK28) = iPr_def_11 )
| ( sK28 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15372,c_16400]) ).
tcf(c_16616,plain,
( ( u2_lattices(sK31) = iPr_def_11 )
| ( sK31 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15371,c_16400]) ).
tcf(c_16617,plain,
( ( u2_lattices(sK32) = iPr_def_11 )
| ( sK32 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15370,c_16400]) ).
tcf(c_16629,plain,
( ( u1_lattices(sK28) = iPr_def_12 )
| ( sK28 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15372,c_16498]) ).
tcf(c_16630,plain,
( ( u1_lattices(sK31) = iPr_def_12 )
| ( sK31 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15371,c_16498]) ).
tcf(c_16631,plain,
( ( u1_lattices(sK32) = iPr_def_12 )
| ( sK32 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15370,c_16498]) ).
tcf(c_16653,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,X0,X0)
| ~ r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X0,sK4) ),
inference(superposition,[status(thm)],[c_844,c_16134]) ).
tcf(c_16655,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,X0)
| ~ r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16653,c_14805]) ).
tcf(c_16664,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,X0)
| ~ m2_lattice4(X0,sK4) ),
inference(global_subsumption_just,[status(thm)],[c_16655,c_15524,c_16655]) ).
tcf(c_16685,plain,
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_12))
| ~ v1_funct_1(iPr_def_12)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_15959]) ).
tcf(c_16686,plain,
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v1_funct_1(iPr_def_11)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_15959]) ).
tcf(c_16687,plain,
v3_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_16686,c_13972,c_15017]) ).
tcf(c_16688,plain,
( v3_lattices(iPr_def_13)
| ~ v1_funct_1(iPr_def_12)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_16685,c_10387]) ).
tcf(c_16689,plain,
v3_lattices(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_16688,c_13966,c_14904]) ).
tcf(c_16710,plain,
( ( g3_lattices(u1_struct_0(iPr_def_13),u2_lattices(iPr_def_13),u1_lattices(iPr_def_13)) = iPr_def_13 )
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_16689,c_53]) ).
tcf(c_16713,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)),u2_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)),u1_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))) = g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11) )
| ~ l3_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16687,c_53]) ).
tcf(c_16774,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k7_relat_1(X0,X1),k1_relat_1(k7_relat_1(X0,X1))) = k7_relat_1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_93,c_15268]) ).
tcf(c_16775,plain,
! [X0: $i,X1: $i] :
( ( k7_relat_1(k1_realset1(X0,X1),k1_relat_1(k1_realset1(X0,X1))) = k1_realset1(X0,X1) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_128,c_15268]) ).
tcf(c_16776,plain,
k7_relat_1(sK19,k1_relat_1(sK19)) = sK19,
inference(superposition,[status(thm)],[c_164,c_15268]) ).
tcf(c_16777,plain,
k7_relat_1(sK27,k1_relat_1(sK27)) = sK27,
inference(superposition,[status(thm)],[c_188,c_15268]) ).
tcf(c_16778,plain,
k7_relat_1(k1_xboole_0,k1_relat_1(k1_xboole_0)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_14049,c_15268]) ).
tcf(c_16779,plain,
( v3_struct_0(sK7)
| ( k7_relat_1(u1_lattices(sK7),k1_relat_1(u1_lattices(sK7))) = u1_lattices(sK7) )
| ~ v6_lattices(sK7) ),
inference(superposition,[status(thm)],[c_3012,c_15268]) ).
tcf(c_16780,plain,
( v3_struct_0(sK7)
| ( k7_relat_1(u1_lattices(sK7),k1_relat_1(u1_lattices(sK7))) = u1_lattices(sK7) )
| ~ v7_lattices(sK7) ),
inference(superposition,[status(thm)],[c_3001,c_15268]) ).
tcf(c_16781,plain,
( v3_struct_0(sK9)
| ( k7_relat_1(u2_lattices(sK9),k1_relat_1(u2_lattices(sK9))) = u2_lattices(sK9) )
| ~ v4_lattices(sK9) ),
inference(superposition,[status(thm)],[c_3139,c_15268]) ).
tcf(c_16782,plain,
( v3_struct_0(sK9)
| ( k7_relat_1(u2_lattices(sK9),k1_relat_1(u2_lattices(sK9))) = u2_lattices(sK9) )
| ~ v5_lattices(sK9) ),
inference(superposition,[status(thm)],[c_3128,c_15268]) ).
tcf(c_16783,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_relat_1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_14220,c_15268]) ).
tcf(c_16784,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ( k7_relat_1(sK22(k2_zfmisc_1(X0,X1)),k1_relat_1(sK22(k2_zfmisc_1(X0,X1)))) = sK22(k2_zfmisc_1(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_14221,c_15268]) ).
tcf(c_16785,plain,
! [X0: $i,X1: $i] : k7_relat_1(k2_zfmisc_1(X0,X1),k1_relat_1(k2_zfmisc_1(X0,X1))) = k2_zfmisc_1(X0,X1),
inference(superposition,[status(thm)],[c_14654,c_15268]) ).
tcf(c_16786,plain,
! [X0: $i] : k7_relat_1(k1_realset1(sK19,X0),k1_relat_1(k1_realset1(sK19,X0))) = k1_realset1(sK19,X0),
inference(superposition,[status(thm)],[c_14836,c_15268]) ).
tcf(c_16787,plain,
k7_relat_1(k1_relat_1(iPr_def_12),k1_relat_1(k1_relat_1(iPr_def_12))) = k1_relat_1(iPr_def_12),
inference(superposition,[status(thm)],[c_14922,c_15268]) ).
tcf(c_16788,plain,
! [X0: $i] : k7_relat_1(k1_realset1(sK27,X0),k1_relat_1(k1_realset1(sK27,X0))) = k1_realset1(sK27,X0),
inference(superposition,[status(thm)],[c_14934,c_15268]) ).
tcf(c_16789,plain,
k7_relat_1(k1_relat_1(iPr_def_11),k1_relat_1(k1_relat_1(iPr_def_11))) = k1_relat_1(iPr_def_11),
inference(superposition,[status(thm)],[c_15046,c_15268]) ).
tcf(c_16790,plain,
! [X0: $i] : k7_relat_1(k1_realset1(k1_xboole_0,X0),k1_relat_1(k1_realset1(k1_xboole_0,X0))) = k1_realset1(k1_xboole_0,X0),
inference(superposition,[status(thm)],[c_15066,c_15268]) ).
tcf(c_16791,plain,
! [X0: $i] : k7_relat_1(k1_realset1(k1_relat_1(iPr_def_12),X0),k1_relat_1(k1_realset1(k1_relat_1(iPr_def_12),X0))) = k1_realset1(k1_relat_1(iPr_def_12),X0),
inference(superposition,[status(thm)],[c_15675,c_15268]) ).
tcf(c_16792,plain,
! [X0: $i] : k7_relat_1(k1_realset1(k1_relat_1(iPr_def_11),X0),k1_relat_1(k1_realset1(k1_relat_1(iPr_def_11),X0))) = k1_realset1(k1_relat_1(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_15689,c_15268]) ).
tcf(c_16793,plain,
! [X0: $i,X1: $i,X2: $i] : k7_relat_1(k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),k1_relat_1(k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2))) = k1_realset1(sK14(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2),
inference(superposition,[status(thm)],[c_16191,c_15268]) ).
tcf(c_16844,plain,
! [X0: $i] : k8_relset_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7),u1_lattices(sK7),X0) = k7_relat_1(u1_lattices(sK7),X0),
inference(superposition,[status(thm)],[c_16013,c_211]) ).
tcf(c_16845,plain,
k4_relset_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7),u1_lattices(sK7)) = k1_relat_1(u1_lattices(sK7)),
inference(superposition,[status(thm)],[c_16013,c_210]) ).
tcf(c_16848,plain,
! [X0: $i] : k8_relset_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9),u2_lattices(sK9),X0) = k7_relat_1(u2_lattices(sK9),X0),
inference(superposition,[status(thm)],[c_16033,c_211]) ).
tcf(c_16849,plain,
k4_relset_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9),u2_lattices(sK9)) = k1_relat_1(u2_lattices(sK9)),
inference(superposition,[status(thm)],[c_16033,c_210]) ).
tcf(c_16868,plain,
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v1_funct_1(iPr_def_12)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_15964]) ).
tcf(c_16869,plain,
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v1_funct_1(iPr_def_11)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_15964]) ).
tcf(c_16870,plain,
v3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_16869,c_13972,c_15017]) ).
tcf(c_16871,plain,
v3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_16868,c_13966,c_14904]) ).
tcf(c_16884,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)),u2_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)),u1_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))) = g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11) )
| ~ l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16870,c_53]) ).
tcf(c_16889,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)),u2_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)),u1_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))) = g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12) )
| ~ l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16871,c_53]) ).
tcf(c_16902,plain,
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_12))
| ~ v1_funct_1(iPr_def_12)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_16218]) ).
tcf(c_16903,plain,
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v1_funct_1(iPr_def_11)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_16218]) ).
tcf(c_16904,plain,
l3_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_16903,c_13972,c_15017]) ).
tcf(c_16905,plain,
( l3_lattices(iPr_def_13)
| ~ v1_funct_1(iPr_def_12)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_16902,c_10387]) ).
tcf(c_16906,plain,
l3_lattices(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_16905,c_13966,c_14904]) ).
tcf(c_16919,plain,
( sP3(iPr_def_13)
| v3_struct_0(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_16906,c_178]) ).
tcf(c_16920,plain,
( v7_lattices(iPr_def_13)
| v3_struct_0(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_16906,c_59]) ).
tcf(c_16921,plain,
( v6_lattices(iPr_def_13)
| v3_struct_0(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_16906,c_58]) ).
tcf(c_16922,plain,
( v5_lattices(iPr_def_13)
| v3_struct_0(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_16906,c_57]) ).
tcf(c_16923,plain,
( v4_lattices(iPr_def_13)
| v3_struct_0(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_16906,c_56]) ).
tcf(c_16924,plain,
( v4_lattices(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16923,c_15038]) ).
tcf(c_16927,plain,
( v5_lattices(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16922,c_15038]) ).
tcf(c_16930,plain,
( v6_lattices(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16921,c_15038]) ).
tcf(c_16933,plain,
( v7_lattices(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16920,c_15038]) ).
tcf(c_16936,plain,
( sP3(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16919,c_15038]) ).
tcf(c_16943,plain,
( sP3(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16904,c_178]) ).
tcf(c_16944,plain,
( v7_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16904,c_59]) ).
tcf(c_16945,plain,
( v6_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16904,c_58]) ).
tcf(c_16946,plain,
( v5_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16904,c_57]) ).
tcf(c_16947,plain,
( v4_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16904,c_56]) ).
tcf(c_16948,plain,
( v4_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16947,c_15036]) ).
tcf(c_16951,plain,
( v5_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16946,c_15036]) ).
tcf(c_16954,plain,
( v6_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16945,c_15036]) ).
tcf(c_16957,plain,
( v7_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16944,c_15036]) ).
tcf(c_16960,plain,
( sP3(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_11,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16943,c_15036]) ).
tcf(c_16977,plain,
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v1_funct_1(iPr_def_12)
| ~ m1_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14866,c_16223]) ).
tcf(c_16978,plain,
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v1_funct_1(iPr_def_11)
| ~ m1_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_14948,c_16223]) ).
tcf(c_16979,plain,
l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_16978,c_13972,c_15017]) ).
tcf(c_16980,plain,
l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_16977,c_13966,c_14904]) ).
tcf(c_16993,plain,
( sP3(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16979,c_178]) ).
tcf(c_16994,plain,
( v7_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16979,c_59]) ).
tcf(c_16995,plain,
( v6_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16979,c_58]) ).
tcf(c_16996,plain,
( v5_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16979,c_57]) ).
tcf(c_16997,plain,
( v4_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_16979,c_56]) ).
tcf(c_16998,plain,
( v4_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16997,c_15020]) ).
tcf(c_17001,plain,
( v5_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16996,c_15020]) ).
tcf(c_17004,plain,
( v6_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16995,c_15020]) ).
tcf(c_17007,plain,
( v7_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16994,c_15020]) ).
tcf(c_17010,plain,
( sP3(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_11)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16993,c_15020]) ).
tcf(c_17028,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK14(X0),X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_14316,c_845]) ).
tcf(c_17029,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK22(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_14327,c_845]) ).
tcf(c_17030,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_14330,c_845]) ).
tcf(c_17031,plain,
! [X0: $i] :
( m1_subset_1(sK30(sK29),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK29)),X0) ),
inference(superposition,[status(thm)],[c_14326,c_845]) ).
tcf(c_17032,plain,
! [X0: $i] :
( v3_struct_0(sK7)
| m1_subset_1(sK30(sK7),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK7)),X0) ),
inference(superposition,[status(thm)],[c_14336,c_845]) ).
tcf(c_17033,plain,
! [X0: $i] :
( v3_struct_0(sK9)
| m1_subset_1(sK30(sK9),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK9)),X0) ),
inference(superposition,[status(thm)],[c_14333,c_845]) ).
tcf(c_17034,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(k1_xboole_0,X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_14325,c_845]) ).
tcf(c_17035,plain,
! [X0: $i] :
( v3_struct_0(sK8)
| m1_subset_1(sK30(sK8),X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK8)),X0) ),
inference(superposition,[status(thm)],[c_14643,c_845]) ).
tcf(c_17036,plain,
! [X0: $i] :
( m1_subset_1(k1_relat_1(iPr_def_12),X0)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)),X0) ),
inference(superposition,[status(thm)],[c_14925,c_845]) ).
tcf(c_17037,plain,
! [X0: $i] :
( m1_subset_1(k1_relat_1(iPr_def_11),X0)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)),X0) ),
inference(superposition,[status(thm)],[c_15049,c_845]) ).
tcf(c_17038,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X1,X0)
| ~ m2_lattice4(X1,sK4)
| ~ r1_tarski(k1_zfmisc_1(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_15528,c_845]) ).
tcf(c_17086,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) ),
inference(superposition,[status(thm)],[c_14316,c_846]) ).
tcf(c_17088,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_14330,c_846]) ).
tcf(c_17089,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK29)),X0) ),
inference(superposition,[status(thm)],[c_14326,c_846]) ).
tcf(c_17090,plain,
! [X0: $i] :
( v3_struct_0(sK7)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK7)),X0) ),
inference(superposition,[status(thm)],[c_14336,c_846]) ).
tcf(c_17091,plain,
! [X0: $i] :
( v3_struct_0(sK9)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK9)),X0) ),
inference(superposition,[status(thm)],[c_14333,c_846]) ).
tcf(c_17092,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ),
inference(superposition,[status(thm)],[c_14325,c_846]) ).
tcf(c_17093,plain,
! [X0: $i] :
( v3_struct_0(sK8)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(sK8)),X0) ),
inference(superposition,[status(thm)],[c_14643,c_846]) ).
tcf(c_17094,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(iPr_def_10,iPr_def_10)),X0) ),
inference(superposition,[status(thm)],[c_14925,c_846]) ).
tcf(c_17096,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X0)
| ~ m2_lattice4(X1,sK4)
| ~ r1_tarski(k1_zfmisc_1(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_15528,c_846]) ).
tcf(c_17145,plain,
( v1_relat_1(iPr_def_12)
| v3_struct_0(sK4)
| ~ v7_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10386,c_2935]) ).
tcf(c_17146,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u1_lattices(X0),k1_relat_1(u1_lattices(X0))) = u1_lattices(X0) )
| ~ v7_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_2935,c_15268]) ).
tcf(c_17147,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1)) = k1_realset1(u1_lattices(X0),X1) )
| ~ v7_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_2935,c_84]) ).
tcf(c_17148,plain,
v1_relat_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_17145,c_10394,c_14480,c_10392]) ).
tcf(c_17157,plain,
k7_relat_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10)) = iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_15269,c_17148]) ).
tcf(c_17160,plain,
k7_relat_1(iPr_def_12,k1_relat_1(iPr_def_12)) = iPr_def_12,
inference(superposition,[status(thm)],[c_17148,c_15268]) ).
tcf(c_17161,plain,
! [X0: $i] : k7_relat_1(iPr_def_12,k2_zfmisc_1(X0,X0)) = k1_realset1(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_17148,c_84]) ).
tcf(c_17179,plain,
( sP3(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16980,c_178]) ).
tcf(c_17180,plain,
( v7_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16980,c_59]) ).
tcf(c_17181,plain,
( v6_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16980,c_58]) ).
tcf(c_17182,plain,
( v5_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16980,c_57]) ).
tcf(c_17183,plain,
( v4_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16980,c_56]) ).
tcf(c_17184,plain,
( v4_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17183,c_14919]) ).
tcf(c_17187,plain,
( v5_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17182,c_14919]) ).
tcf(c_17190,plain,
( v6_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17181,c_14919]) ).
tcf(c_17193,plain,
( v7_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17180,c_14919]) ).
tcf(c_17196,plain,
( sP3(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12))
| ~ v10_lattices(g3_lattices(iPr_def_10,iPr_def_12,iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17179,c_14919]) ).
tcf(c_17208,plain,
k1_realset1(iPr_def_12,iPr_def_10) = iPr_def_12,
inference(demodulation,[status(thm)],[c_17157,c_17161]) ).
tcf(c_17211,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(iPr_def_12,X0))
| ~ v1_relat_1(iPr_def_12)
| ~ v1_funct_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_17161,c_143]) ).
tcf(c_17212,plain,
! [X0: $i] :
( v1_relat_1(k1_realset1(iPr_def_12,X0))
| ~ v1_relat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_17161,c_93]) ).
tcf(c_17213,plain,
! [X0: $i] : m1_relset_1(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_17161,c_15414]) ).
tcf(c_17214,plain,
! [X0: $i] : m2_relset_1(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_17161,c_15412]) ).
tcf(c_17215,plain,
! [X0: $i] : v1_relat_1(k1_realset1(iPr_def_12,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_17212,c_17148]) ).
tcf(c_17216,plain,
! [X0: $i] : v1_funct_1(k1_realset1(iPr_def_12,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_17211,c_17148,c_13966]) ).
tcf(c_17222,plain,
! [X0: $i] : k7_relat_1(k1_realset1(iPr_def_12,X0),k1_relat_1(k1_realset1(iPr_def_12,X0))) = k1_realset1(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_17215,c_15268]) ).
tcf(c_17223,plain,
! [X0: $i,X1: $i] : k7_relat_1(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k1_realset1(iPr_def_12,X0),X1),
inference(superposition,[status(thm)],[c_17215,c_84]) ).
tcf(c_17238,plain,
! [X0: $i,X1: $i] : k8_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,k1_realset1(iPr_def_12,X0),X1) = k7_relat_1(k1_realset1(iPr_def_12,X0),X1),
inference(superposition,[status(thm)],[c_17213,c_211]) ).
tcf(c_17239,plain,
! [X0: $i] : k4_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,k1_realset1(iPr_def_12,X0)) = k1_relat_1(k1_realset1(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_17213,c_210]) ).
tcf(c_17260,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u1_lattices(X0),k1_relat_1(u1_lattices(X0))) = u1_lattices(X0) )
| ~ v6_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_2950,c_15268]) ).
tcf(c_17261,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u1_lattices(X0),k2_zfmisc_1(X1,X1)) = k1_realset1(u1_lattices(X0),X1) )
| ~ v6_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_2950,c_84]) ).
tcf(c_17280,plain,
( v1_relat_1(iPr_def_11)
| v3_struct_0(sK4)
| ~ v5_lattices(sK4)
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10385,c_3069]) ).
tcf(c_17281,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u2_lattices(X0),k1_relat_1(u2_lattices(X0))) = u2_lattices(X0) )
| ~ v5_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_3069,c_15268]) ).
tcf(c_17282,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1)) = k1_realset1(u2_lattices(X0),X1) )
| ~ v5_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_3069,c_84]) ).
tcf(c_17283,plain,
v1_relat_1(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_17280,c_10394,c_14385,c_10392]) ).
tcf(c_17292,plain,
k7_relat_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10)) = iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_15278,c_17283]) ).
tcf(c_17299,plain,
k7_relat_1(iPr_def_11,k1_relat_1(iPr_def_11)) = iPr_def_11,
inference(superposition,[status(thm)],[c_17283,c_15268]) ).
tcf(c_17300,plain,
! [X0: $i] : k7_relat_1(iPr_def_11,k2_zfmisc_1(X0,X0)) = k1_realset1(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_17283,c_84]) ).
tcf(c_17304,plain,
k1_realset1(iPr_def_11,iPr_def_10) = iPr_def_11,
inference(demodulation,[status(thm)],[c_17292,c_17300]) ).
tcf(c_17323,plain,
! [X0: $i] :
( v1_funct_1(k1_realset1(iPr_def_11,X0))
| ~ v1_relat_1(iPr_def_11)
| ~ v1_funct_1(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17300,c_143]) ).
tcf(c_17324,plain,
! [X0: $i] :
( v1_relat_1(k1_realset1(iPr_def_11,X0))
| ~ v1_relat_1(iPr_def_11) ),
inference(superposition,[status(thm)],[c_17300,c_93]) ).
tcf(c_17325,plain,
! [X0: $i] : m1_relset_1(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_17300,c_15419]) ).
tcf(c_17326,plain,
! [X0: $i] : m2_relset_1(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10),
inference(superposition,[status(thm)],[c_17300,c_15417]) ).
tcf(c_17327,plain,
! [X0: $i] : v1_relat_1(k1_realset1(iPr_def_11,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_17324,c_17283]) ).
tcf(c_17328,plain,
! [X0: $i] : v1_funct_1(k1_realset1(iPr_def_11,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_17323,c_17283,c_13972]) ).
tcf(c_17338,plain,
! [X0: $i] : k7_relat_1(k1_realset1(iPr_def_11,X0),k1_relat_1(k1_realset1(iPr_def_11,X0))) = k1_realset1(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_17327,c_15268]) ).
tcf(c_17339,plain,
! [X0: $i,X1: $i] : k7_relat_1(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k1_realset1(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_17327,c_84]) ).
tcf(c_17348,plain,
! [X0: $i,X1: $i] : k8_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,k1_realset1(iPr_def_11,X0),X1) = k7_relat_1(k1_realset1(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_17325,c_211]) ).
tcf(c_17349,plain,
! [X0: $i] : k4_relset_1(k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10,k1_realset1(iPr_def_11,X0)) = k1_relat_1(k1_realset1(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_17325,c_210]) ).
tcf(c_17382,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u2_lattices(X0),k1_relat_1(u2_lattices(X0))) = u2_lattices(X0) )
| ~ v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_3084,c_15268]) ).
tcf(c_17383,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k7_relat_1(u2_lattices(X0),k2_zfmisc_1(X1,X1)) = k1_realset1(u2_lattices(X0),X1) )
| ~ v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_3084,c_84]) ).
tcf(c_17402,plain,
( v3_struct_0(sK4)
| m1_subset_1(sK30(sK4),k1_zfmisc_1(iPr_def_10))
| ~ l3_lattices(sK4) ),
inference(superposition,[status(thm)],[c_10384,c_3282]) ).
tcf(c_17403,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r1_filter_2(u1_struct_0(X0),sK30(X0),X1)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),X1,sK30(X0)) ),
inference(superposition,[status(thm)],[c_3282,c_220]) ).
tcf(c_17404,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ( sK30(X0) = X1 )
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),X1,sK30(X0)) ),
inference(superposition,[status(thm)],[c_3282,c_217]) ).
tcf(c_17405,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r1_tarski(sK30(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_3282,c_224]) ).
tcf(c_17406,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK30(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_3282,c_222]) ).
tcf(c_17410,plain,
m1_subset_1(sK30(sK4),k1_zfmisc_1(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_17402,c_10394,c_10392]) ).
tcf(c_17411,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(sK30(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17406,c_130]) ).
tcf(c_17436,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,sK30(sK4),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,sK30(sK4)) ),
inference(superposition,[status(thm)],[c_17410,c_220]) ).
tcf(c_17437,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| ( sK30(sK4) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,sK30(sK4)) ),
inference(superposition,[status(thm)],[c_17410,c_217]) ).
tcf(c_17438,plain,
r1_tarski(sK30(sK4),iPr_def_10),
inference(superposition,[status(thm)],[c_17410,c_224]) ).
tcf(c_17439,plain,
( v1_xboole_0(k1_zfmisc_1(iPr_def_10))
| r2_hidden(sK30(sK4),k1_zfmisc_1(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_17410,c_222]) ).
tcf(c_17440,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,sK30(sK4))
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK30(sK4),X0) ),
inference(superposition,[status(thm)],[c_17410,c_15834]) ).
tcf(c_17441,plain,
! [X0: $i] :
( ( sK30(sK4) = X0 )
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK30(sK4),X0) ),
inference(superposition,[status(thm)],[c_17410,c_15733]) ).
tcf(c_17442,plain,
r2_hidden(sK30(sK4),k1_zfmisc_1(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_17439,c_130]) ).
tcf(c_17449,plain,
! [X0: $i] :
( ( sK30(sK4) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,sK30(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17437,c_14805]) ).
tcf(c_17453,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,sK30(sK4),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,sK30(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17436,c_14805]) ).
tcf(c_17473,plain,
~ r2_hidden(k1_zfmisc_1(iPr_def_10),sK30(sK4)),
inference(superposition,[status(thm)],[c_17442,c_54]) ).
tcf(c_17474,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_17442,c_846]) ).
tcf(c_17475,plain,
! [X0: $i] :
( m1_subset_1(sK30(sK4),X0)
| ~ r1_tarski(k1_zfmisc_1(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_17442,c_845]) ).
tcf(c_17476,plain,
~ v1_xboole_0(k1_zfmisc_1(iPr_def_10)),
inference(superposition,[status(thm)],[c_17442,c_228]) ).
tcf(c_17496,plain,
( v3_struct_0(sK8)
| v1_xboole_0(sK30(sK8))
| ~ v1_xboole_0(u1_struct_0(sK8)) ),
inference(superposition,[status(thm)],[c_14639,c_17086]) ).
tcf(c_17498,plain,
( v3_struct_0(sK7)
| v1_xboole_0(sK30(sK7))
| ~ v1_xboole_0(u1_struct_0(sK7)) ),
inference(superposition,[status(thm)],[c_14282,c_17086]) ).
tcf(c_17499,plain,
( v3_struct_0(sK9)
| v1_xboole_0(sK30(sK9))
| ~ v1_xboole_0(u1_struct_0(sK9)) ),
inference(superposition,[status(thm)],[c_14293,c_17086]) ).
tcf(c_17500,plain,
! [X0: $i] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_14196,c_17086]) ).
tcf(c_17502,plain,
( v1_xboole_0(k1_relat_1(iPr_def_12))
| ~ v1_xboole_0(k2_zfmisc_1(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_14923,c_17086]) ).
tcf(c_17503,plain,
( v1_xboole_0(k1_relat_1(iPr_def_11))
| ~ v1_xboole_0(k2_zfmisc_1(iPr_def_10,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_15047,c_17086]) ).
tcf(c_17533,plain,
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,sK30(sK4),sK30(sK4))
| ~ r1_tarski(sK30(sK4),iPr_def_10)
| ~ m2_lattice4(sK30(sK4),sK4) ),
inference(superposition,[status(thm)],[c_844,c_17440]) ).
tcf(c_17534,plain,
( r1_filter_2(iPr_def_10,sK30(sK4),sK30(sK4))
| ~ m2_lattice4(sK30(sK4),sK4) ),
inference(superposition,[status(thm)],[c_16664,c_17440]) ).
tcf(c_17562,plain,
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,sK30(sK4),sK30(sK4))
| ~ r1_tarski(sK30(sK4),iPr_def_10)
| ~ m1_subset_1(sK30(sK4),k1_zfmisc_1(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_844,c_17453]) ).
tcf(c_17564,plain,
r1_filter_2(iPr_def_10,sK30(sK4),sK30(sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_17562,c_14805,c_17438,c_17410]) ).
tcf(c_17585,plain,
! [X0: $i] :
( m2_relset_1(k7_relat_1(u1_lattices(sK7),X0),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)) ),
inference(superposition,[status(thm)],[c_16844,c_94]) ).
tcf(c_17586,plain,
! [X0: $i] : m2_relset_1(k7_relat_1(u1_lattices(sK7),X0),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)),
inference(forward_subsumption_resolution,[status(thm)],[c_17585,c_16013]) ).
tcf(c_17595,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK30(X0))
| ~ l3_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_17405,c_17086]) ).
tcf(c_17607,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5881,c_62]) ).
tcf(c_17608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| ~ m1_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_5881,c_220]) ).
tcf(c_17609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ( X2 = X3 )
| ~ m1_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_5881,c_217]) ).
tcf(c_17610,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5881,c_224]) ).
tcf(c_17611,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5881,c_222]) ).
tcf(c_17616,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17611,c_130]) ).
tcf(c_17650,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK13(X0,X1)),
inference(superposition,[status(thm)],[c_122,c_17607]) ).
tcf(c_17651,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK18(X0,X1)),
inference(superposition,[status(thm)],[c_14246,c_17607]) ).
tcf(c_17652,plain,
v1_relat_1(u1_lattices(sK7)),
inference(superposition,[status(thm)],[c_16013,c_17607]) ).
tcf(c_17653,plain,
v1_relat_1(u2_lattices(sK9)),
inference(superposition,[status(thm)],[c_16033,c_17607]) ).
tcf(c_17656,plain,
! [X0: $i] : v1_relat_1(k7_relat_1(iPr_def_12,X0)),
inference(superposition,[status(thm)],[c_15414,c_17607]) ).
tcf(c_17657,plain,
! [X0: $i] : v1_relat_1(k7_relat_1(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_15419,c_17607]) ).
tcf(c_17664,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK13(X0,X1),k1_relat_1(sK13(X0,X1))) = sK13(X0,X1),
inference(superposition,[status(thm)],[c_17650,c_15268]) ).
tcf(c_17665,plain,
! [X0: $i,X1: $i,X2: $i] : k7_relat_1(sK13(X0,X1),k2_zfmisc_1(X2,X2)) = k1_realset1(sK13(X0,X1),X2),
inference(superposition,[status(thm)],[c_17650,c_84]) ).
tcf(c_17668,plain,
k7_relat_1(u1_lattices(sK7),k1_relat_1(u1_lattices(sK7))) = u1_lattices(sK7),
inference(superposition,[status(thm)],[c_17652,c_15268]) ).
tcf(c_17669,plain,
! [X0: $i] : k7_relat_1(u1_lattices(sK7),k2_zfmisc_1(X0,X0)) = k1_realset1(u1_lattices(sK7),X0),
inference(superposition,[status(thm)],[c_17652,c_84]) ).
tcf(c_17671,plain,
k7_relat_1(u2_lattices(sK9),k1_relat_1(u2_lattices(sK9))) = u2_lattices(sK9),
inference(superposition,[status(thm)],[c_17653,c_15268]) ).
tcf(c_17672,plain,
! [X0: $i] : k7_relat_1(u2_lattices(sK9),k2_zfmisc_1(X0,X0)) = k1_realset1(u2_lattices(sK9),X0),
inference(superposition,[status(thm)],[c_17653,c_84]) ).
tcf(c_17674,plain,
! [X0: $i,X1: $i] : k7_relat_1(sK18(X0,X1),k1_relat_1(sK18(X0,X1))) = sK18(X0,X1),
inference(superposition,[status(thm)],[c_17651,c_15268]) ).
tcf(c_17675,plain,
! [X0: $i,X1: $i,X2: $i] : k7_relat_1(sK18(X0,X1),k2_zfmisc_1(X2,X2)) = k1_realset1(sK18(X0,X1),X2),
inference(superposition,[status(thm)],[c_17651,c_84]) ).
tcf(c_17682,plain,
! [X0: $i] : k7_relat_1(k7_relat_1(iPr_def_12,X0),k1_relat_1(k7_relat_1(iPr_def_12,X0))) = k7_relat_1(iPr_def_12,X0),
inference(superposition,[status(thm)],[c_17656,c_15268]) ).
tcf(c_17683,plain,
! [X0: $i,X1: $i] : k7_relat_1(k7_relat_1(iPr_def_12,X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k7_relat_1(iPr_def_12,X0),X1),
inference(superposition,[status(thm)],[c_17656,c_84]) ).
tcf(c_17725,plain,
( m1_subset_1(k1_relat_1(u1_lattices(sK7)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7)) ),
inference(superposition,[status(thm)],[c_16845,c_92]) ).
tcf(c_17726,plain,
m1_subset_1(k1_relat_1(u1_lattices(sK7)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)))),
inference(forward_subsumption_resolution,[status(thm)],[c_17725,c_16013]) ).
tcf(c_17731,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_17610,c_17086]) ).
tcf(c_17732,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relat_1(X0,k2_zfmisc_1(X1,X2)) = X0 )
| ~ v1_relat_1(X0)
| ~ m1_relset_1(k1_relat_1(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_17610,c_230]) ).
tcf(c_17734,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(k1_zfmisc_1(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_17610,c_17092]) ).
tcf(c_17735,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k1_xboole_0,k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(k1_zfmisc_1(X0),X1,X2) ),
inference(superposition,[status(thm)],[c_17610,c_17034]) ).
tcf(c_17736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(k1_zfmisc_1(X2),X0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_17610,c_14818]) ).
tcf(c_17737,plain,
! [X0: $i,X1: $i] : ~ m1_relset_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1),
inference(superposition,[status(thm)],[c_17610,c_16591]) ).
tcf(c_17766,plain,
v1_relat_1(k1_relat_1(u1_lattices(sK7))),
inference(superposition,[status(thm)],[c_17726,c_62]) ).
tcf(c_17767,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)))
| r1_filter_2(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),k1_relat_1(u1_lattices(sK7)),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))))
| ~ r1_filter_2(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),X0,k1_relat_1(u1_lattices(sK7))) ),
inference(superposition,[status(thm)],[c_17726,c_220]) ).
tcf(c_17768,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)))
| ( k1_relat_1(u1_lattices(sK7)) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))))
| ~ r1_filter_2(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),X0,k1_relat_1(u1_lattices(sK7))) ),
inference(superposition,[status(thm)],[c_17726,c_217]) ).
tcf(c_17769,plain,
r1_tarski(k1_relat_1(u1_lattices(sK7)),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))),
inference(superposition,[status(thm)],[c_17726,c_224]) ).
tcf(c_17770,plain,
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))))
| r2_hidden(k1_relat_1(u1_lattices(sK7)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)))) ),
inference(superposition,[status(thm)],[c_17726,c_222]) ).
tcf(c_17771,plain,
r2_hidden(k1_relat_1(u1_lattices(sK7)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)))),
inference(forward_subsumption_resolution,[status(thm)],[c_17770,c_130]) ).
tcf(c_17793,plain,
k7_relat_1(k1_relat_1(u1_lattices(sK7)),k1_relat_1(k1_relat_1(u1_lattices(sK7)))) = k1_relat_1(u1_lattices(sK7)),
inference(superposition,[status(thm)],[c_17766,c_15268]) ).
tcf(c_17794,plain,
! [X0: $i] : k7_relat_1(k1_relat_1(u1_lattices(sK7)),k2_zfmisc_1(X0,X0)) = k1_realset1(k1_relat_1(u1_lattices(sK7)),X0),
inference(superposition,[status(thm)],[c_17766,c_84]) ).
tcf(c_17796,plain,
( v1_xboole_0(k1_relat_1(u1_lattices(sK7)))
| ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))) ),
inference(superposition,[status(thm)],[c_17769,c_17086]) ).
tcf(c_17797,plain,
( ( k7_relat_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))) = u1_lattices(sK7) )
| ~ v1_relat_1(u1_lattices(sK7)) ),
inference(superposition,[status(thm)],[c_17769,c_230]) ).
tcf(c_17801,plain,
k7_relat_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))) = u1_lattices(sK7),
inference(forward_subsumption_resolution,[status(thm)],[c_17797,c_17652]) ).
tcf(c_17804,plain,
! [X0: $i] : k7_relat_1(k7_relat_1(iPr_def_11,X0),k1_relat_1(k7_relat_1(iPr_def_11,X0))) = k7_relat_1(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_17657,c_15268]) ).
tcf(c_17805,plain,
! [X0: $i,X1: $i] : k7_relat_1(k7_relat_1(iPr_def_11,X0),k2_zfmisc_1(X1,X1)) = k1_realset1(k7_relat_1(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_17657,c_84]) ).
tcf(c_17812,plain,
! [X0: $i,X1: $i] :
( ( sK14(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_17500,c_229]) ).
tcf(c_17813,plain,
! [X0: $i] :
( ( sK14(k1_zfmisc_1(X0)) = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_17500,c_227]) ).
tcf(c_17814,plain,
! [X0: $i] :
( v1_funct_1(sK14(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_17500,c_55]) ).
tcf(c_17870,plain,
! [X0: $i] :
( m2_relset_1(k7_relat_1(u2_lattices(sK9),X0),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(superposition,[status(thm)],[c_16848,c_94]) ).
tcf(c_17871,plain,
! [X0: $i] : m2_relset_1(k7_relat_1(u2_lattices(sK9),X0),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)),
inference(forward_subsumption_resolution,[status(thm)],[c_17870,c_16033]) ).
tcf(c_17879,plain,
sK14(k1_zfmisc_1(k1_xboole_0)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_131,c_17813]) ).
tcf(c_17880,plain,
! [X0: $i] :
( ( sK14(k1_zfmisc_1(sK14(k1_zfmisc_1(X0)))) = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_17500,c_17813]) ).
tcf(c_17889,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| ~ r2_hidden(k1_zfmisc_1(k1_xboole_0),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_17879,c_14429]) ).
tcf(c_17890,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_17879,c_14316]) ).
tcf(c_17891,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)),
inference(superposition,[status(thm)],[c_17879,c_123]) ).
tcf(c_17894,plain,
r1_tarski(k1_xboole_0,k1_xboole_0),
inference(superposition,[status(thm)],[c_17879,c_14196]) ).
tcf(c_17895,plain,
~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))),k1_relat_1(u1_lattices(sK7))),
inference(superposition,[status(thm)],[c_17771,c_54]) ).
tcf(c_17896,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))),X0) ),
inference(superposition,[status(thm)],[c_17771,c_846]) ).
tcf(c_17897,plain,
! [X0: $i] :
( m1_subset_1(k1_relat_1(u1_lattices(sK7)),X0)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7))),X0) ),
inference(superposition,[status(thm)],[c_17771,c_845]) ).
tcf(c_17898,plain,
~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)))),
inference(superposition,[status(thm)],[c_17771,c_228]) ).
tcf(c_17913,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k4_relset_1(X1,X2,X0))
| ~ v1_xboole_0(X1)
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_14593,c_17086]) ).
tcf(c_17928,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK30(sK4),k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(k1_zfmisc_1(iPr_def_10),X0,X1) ),
inference(superposition,[status(thm)],[c_17610,c_17475]) ).
tcf(c_17948,plain,
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,k1_xboole_0,k1_xboole_0)
| ~ r1_tarski(k1_xboole_0,iPr_def_10)
| ~ m2_lattice4(k1_xboole_0,sK4) ),
inference(superposition,[status(thm)],[c_844,c_16133]) ).
tcf(c_17949,plain,
( r1_filter_2(iPr_def_10,k1_xboole_0,k1_xboole_0)
| ~ m2_lattice4(k1_xboole_0,sK4) ),
inference(superposition,[status(thm)],[c_16664,c_16133]) ).
tcf(c_17953,plain,
g3_lattices(u1_struct_0(iPr_def_13),u2_lattices(iPr_def_13),u1_lattices(iPr_def_13)) = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_16710,c_16710,c_16906]) ).
tcf(c_17955,plain,
u1_lattices(iPr_def_13) = iPr_def_12,
inference(superposition,[status(thm)],[c_17953,c_16498]) ).
tcf(c_17956,plain,
u2_lattices(iPr_def_13) = iPr_def_11,
inference(superposition,[status(thm)],[c_17953,c_16400]) ).
tcf(c_17957,plain,
u1_struct_0(iPr_def_13) = iPr_def_10,
inference(superposition,[status(thm)],[c_17953,c_16307]) ).
tcf(c_17958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_13) = X2 )
| ~ v1_funct_1(u1_lattices(iPr_def_13))
| ~ v1_funct_1(u2_lattices(iPr_def_13))
| ~ m1_relset_1(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ m1_relset_1(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_17953,c_163]) ).
tcf(c_17959,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_13) = X1 )
| ~ v1_funct_1(u1_lattices(iPr_def_13))
| ~ v1_funct_1(u2_lattices(iPr_def_13))
| ~ m1_relset_1(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ m1_relset_1(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_17953,c_162]) ).
tcf(c_17960,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_13) = X0 )
| ~ v1_funct_1(u1_lattices(iPr_def_13))
| ~ v1_funct_1(u2_lattices(iPr_def_13))
| ~ m1_relset_1(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ m1_relset_1(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_17953,c_161]) ).
tcf(c_17961,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_13) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_17953,c_163]) ).
tcf(c_17962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_13) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_17953,c_162]) ).
tcf(c_17963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_13) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_17953,c_161]) ).
tcf(c_18012,plain,
g3_lattices(u1_struct_0(iPr_def_13),u2_lattices(iPr_def_13),iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_17953,c_17955]) ).
tcf(c_18032,plain,
( m2_relset_1(iPr_def_12,k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17955,c_5854]) ).
tcf(c_18033,plain,
( v1_funct_2(iPr_def_12,k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17955,c_5852]) ).
tcf(c_18035,plain,
( v1_funct_2(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_18033,c_17957]) ).
tcf(c_18036,plain,
( m2_relset_1(iPr_def_12,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_18032,c_17957]) ).
tcf(c_18048,plain,
( m2_relset_1(iPr_def_11,k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17956,c_5860]) ).
tcf(c_18049,plain,
( v1_funct_2(iPr_def_11,k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17956,c_5858]) ).
tcf(c_18051,plain,
( v1_funct_2(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_18049,c_17957]) ).
tcf(c_18052,plain,
( m2_relset_1(iPr_def_11,k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_18048,c_17957]) ).
tcf(c_18055,plain,
( v3_struct_0(iPr_def_13)
| r1_tarski(sK30(iPr_def_13),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17957,c_17405]) ).
tcf(c_18056,plain,
( v3_struct_0(iPr_def_13)
| m1_subset_1(sK30(iPr_def_13),k1_zfmisc_1(iPr_def_10))
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17957,c_3282]) ).
tcf(c_18057,plain,
( m2_relset_1(u2_lattices(iPr_def_13),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17957,c_5860]) ).
tcf(c_18058,plain,
( v1_funct_2(u2_lattices(iPr_def_13),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17957,c_5858]) ).
tcf(c_18059,plain,
( m2_relset_1(u1_lattices(iPr_def_13),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17957,c_5854]) ).
tcf(c_18060,plain,
( v1_funct_2(u1_lattices(iPr_def_13),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10)
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_17957,c_5852]) ).
tcf(c_18062,plain,
! [X0: $i] :
( v3_struct_0(iPr_def_13)
| m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ l3_lattices(iPr_def_13)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_17957,c_105]) ).
tcf(c_18063,plain,
r1_tarski(sK30(iPr_def_13),iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_18055,c_15038,c_16906]) ).
tcf(c_18068,plain,
m1_subset_1(sK30(iPr_def_13),k1_zfmisc_1(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_18056,c_15038,c_16906]) ).
tcf(c_18069,plain,
! [X0: $i] :
( m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18062,c_15038,c_16906]) ).
tcf(c_18080,plain,
( r1_tarski(k1_relat_1(u2_lattices(sK9)),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(superposition,[status(thm)],[c_16849,c_14593]) ).
tcf(c_18081,plain,
( m1_subset_1(k1_relat_1(u2_lattices(sK9)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9))))
| ~ m1_relset_1(u2_lattices(sK9),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),u1_struct_0(sK9)) ),
inference(superposition,[status(thm)],[c_16849,c_92]) ).
tcf(c_18082,plain,
r1_tarski(k1_relat_1(u2_lattices(sK9)),k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9))),
inference(forward_subsumption_resolution,[status(thm)],[c_18080,c_16033]) ).
tcf(c_18083,plain,
m1_subset_1(k1_relat_1(u2_lattices(sK9)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)))),
inference(forward_subsumption_resolution,[status(thm)],[c_18081,c_16033]) ).
tcf(c_18084,plain,
v1_relat_1(k1_relat_1(u2_lattices(sK9))),
inference(superposition,[status(thm)],[c_18083,c_62]) ).
tcf(c_18085,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)))
| r1_filter_2(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),k1_relat_1(u2_lattices(sK9)),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9))))
| ~ r1_filter_2(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),X0,k1_relat_1(u2_lattices(sK9))) ),
inference(superposition,[status(thm)],[c_18083,c_220]) ).
tcf(c_18086,plain,
! [X0: $i] :
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)))
| ( k1_relat_1(u2_lattices(sK9)) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9))))
| ~ r1_filter_2(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)),X0,k1_relat_1(u2_lattices(sK9))) ),
inference(superposition,[status(thm)],[c_18083,c_217]) ).
tcf(c_18088,plain,
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9))))
| r2_hidden(k1_relat_1(u2_lattices(sK9)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)))) ),
inference(superposition,[status(thm)],[c_18083,c_222]) ).
tcf(c_18089,plain,
r2_hidden(k1_relat_1(u2_lattices(sK9)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)))),
inference(forward_subsumption_resolution,[status(thm)],[c_18088,c_130]) ).
tcf(c_18105,plain,
k7_relat_1(k1_relat_1(u2_lattices(sK9)),k1_relat_1(k1_relat_1(u2_lattices(sK9)))) = k1_relat_1(u2_lattices(sK9)),
inference(superposition,[status(thm)],[c_18084,c_15268]) ).
tcf(c_18106,plain,
! [X0: $i] : k7_relat_1(k1_relat_1(u2_lattices(sK9)),k2_zfmisc_1(X0,X0)) = k1_realset1(k1_relat_1(u2_lattices(sK9)),X0),
inference(superposition,[status(thm)],[c_18084,c_84]) ).
tcf(c_18110,plain,
~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9))),k1_relat_1(u2_lattices(sK9))),
inference(superposition,[status(thm)],[c_18089,c_54]) ).
tcf(c_18111,plain,
! [X0: $i] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9))),X0) ),
inference(superposition,[status(thm)],[c_18089,c_846]) ).
tcf(c_18112,plain,
! [X0: $i] :
( m1_subset_1(k1_relat_1(u2_lattices(sK9)),X0)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9))),X0) ),
inference(superposition,[status(thm)],[c_18089,c_845]) ).
tcf(c_18113,plain,
~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK9),u1_struct_0(sK9)))),
inference(superposition,[status(thm)],[c_18089,c_228]) ).
tcf(c_18133,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(sK17(X0))
| ( k17_filter_2(sK17(X0)) = u1_struct_0(sK17(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(sK17(X0)) ),
inference(superposition,[status(thm)],[c_15235,c_85]) ).
tcf(c_18134,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(sK17(X0))
| ( u1_struct_0(sK17(X0)) = k1_filter_0(sK17(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(sK17(X0)) ),
inference(superposition,[status(thm)],[c_15235,c_83]) ).
tcf(c_18135,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(sK17(X0))
| ( k1_filter_2(sK17(X0)) = k1_filter_0(sK17(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(sK17(X0)) ),
inference(superposition,[status(thm)],[c_15235,c_209]) ).
tcf(c_18157,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,sK30(iPr_def_13),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,sK30(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_18068,c_220]) ).
tcf(c_18158,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| ( sK30(iPr_def_13) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,sK30(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_18068,c_217]) ).
tcf(c_18160,plain,
( v1_xboole_0(k1_zfmisc_1(iPr_def_10))
| r2_hidden(sK30(iPr_def_13),k1_zfmisc_1(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_18068,c_222]) ).
tcf(c_18161,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,sK30(iPr_def_13))
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK30(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_18068,c_15834]) ).
tcf(c_18162,plain,
! [X0: $i] :
( ( sK30(iPr_def_13) = X0 )
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,sK30(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_18068,c_15733]) ).
tcf(c_18163,plain,
r2_hidden(sK30(iPr_def_13),k1_zfmisc_1(iPr_def_10)),
inference(forward_subsumption_resolution,[status(thm)],[c_18160,c_130]) ).
tcf(c_18170,plain,
! [X0: $i] :
( ( sK30(iPr_def_13) = X0 )
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,sK30(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18158,c_14805]) ).
tcf(c_18174,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,sK30(iPr_def_13),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,sK30(iPr_def_13)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18157,c_14805]) ).
tcf(c_18193,plain,
~ r2_hidden(k1_zfmisc_1(iPr_def_10),sK30(iPr_def_13)),
inference(superposition,[status(thm)],[c_18163,c_54]) ).
tcf(c_18195,plain,
! [X0: $i] :
( m1_subset_1(sK30(iPr_def_13),X0)
| ~ r1_tarski(k1_zfmisc_1(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_18163,c_845]) ).
tcf(c_18217,plain,
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,sK30(iPr_def_13),sK30(iPr_def_13))
| ~ r1_tarski(sK30(iPr_def_13),iPr_def_10)
| ~ m1_subset_1(sK30(iPr_def_13),k1_zfmisc_1(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_844,c_18174]) ).
tcf(c_18218,plain,
( r1_filter_2(iPr_def_10,sK30(iPr_def_13),sK30(iPr_def_13))
| ~ m2_lattice4(sK30(iPr_def_13),sK4)
| ~ m1_subset_1(sK30(iPr_def_13),k1_zfmisc_1(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_16664,c_18174]) ).
tcf(c_18222,plain,
r1_filter_2(iPr_def_10,sK30(iPr_def_13),sK30(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_18217,c_14805,c_18063,c_18068]) ).
tcf(c_18233,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,X1,X0)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_18069,c_220]) ).
tcf(c_18234,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(iPr_def_10)
| ( X0 = X1 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_18069,c_217]) ).
tcf(c_18235,plain,
! [X0: $i] :
( r1_tarski(X0,iPr_def_10)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_18069,c_224]) ).
tcf(c_18236,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(iPr_def_10))
| r2_hidden(X0,k1_zfmisc_1(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_18069,c_222]) ).
tcf(c_18237,plain,
! [X0: $i,X1: $i] :
( r1_filter_2(iPr_def_10,X1,X0)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,sK4)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_18069,c_15834]) ).
tcf(c_18238,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,sK4)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_18069,c_15733]) ).
tcf(c_18242,plain,
! [X0: $i] :
( r2_hidden(X0,k1_zfmisc_1(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18236,c_130]) ).
tcf(c_18256,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18234,c_14805]) ).
tcf(c_18262,plain,
! [X0: $i,X1: $i] :
( r1_filter_2(iPr_def_10,X1,X0)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10))
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18233,c_14805]) ).
tcf(c_18284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_relset_1(iPr_def_10,X0,X1) = X2 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X2,iPr_def_13)
| ~ m1_relset_1(X1,iPr_def_10,X0)
| ~ r1_filter_2(iPr_def_10,k4_relset_1(iPr_def_10,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_92,c_18256]) ).
tcf(c_18285,plain,
! [X0: $i] :
( ( sK14(k1_zfmisc_1(iPr_def_10)) = X0 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK14(k1_zfmisc_1(iPr_def_10)),X0) ),
inference(superposition,[status(thm)],[c_123,c_18256]) ).
tcf(c_18286,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| ( sK22(iPr_def_10) = X0 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK22(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_179,c_18256]) ).
tcf(c_18287,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v10_lattices(iPr_def_13)
| ~ r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_223,c_18256]) ).
tcf(c_18288,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_14051,c_18256]) ).
tcf(c_18289,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_18069,c_18256]) ).
tcf(c_18290,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_15498,c_18256]) ).
tcf(c_18291,plain,
! [X0: $i] :
( ( sK30(sK4) = X0 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK30(sK4),X0) ),
inference(superposition,[status(thm)],[c_17410,c_18256]) ).
tcf(c_18292,plain,
! [X0: $i] :
( ( sK30(iPr_def_13) = X0 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK30(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_18068,c_18256]) ).
tcf(c_18320,plain,
! [X0: $i] :
( ( sK22(iPr_def_10) = X0 )
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK22(iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18286,c_14805]) ).
tcf(c_18394,plain,
( v3_struct_0(iPr_def_13)
| r1_tarski(sK16(iPr_def_13),iPr_def_10)
| ~ l3_lattices(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_125,c_18235]) ).
tcf(c_18395,plain,
( v3_struct_0(iPr_def_13)
| r1_tarski(sK20(iPr_def_13),iPr_def_10)
| ~ l3_lattices(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_166,c_18235]) ).
tcf(c_18396,plain,
( r1_tarski(sK20(iPr_def_13),iPr_def_10)
| ~ v10_lattices(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18395,c_15038,c_16906]) ).
tcf(c_18399,plain,
( r1_tarski(sK16(iPr_def_13),iPr_def_10)
| ~ v10_lattices(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18394,c_15038,c_16906]) ).
tcf(c_18410,plain,
! [X0: $i] :
( v3_struct_0(X0)
| sP3(sK17(X0))
| v3_struct_0(sK17(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(sK17(X0)) ),
inference(superposition,[status(thm)],[c_15251,c_178]) ).
tcf(c_18411,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v7_lattices(sK17(X0))
| v3_struct_0(sK17(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(sK17(X0)) ),
inference(superposition,[status(thm)],[c_15251,c_59]) ).
tcf(c_18412,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v6_lattices(sK17(X0))
| v3_struct_0(sK17(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(sK17(X0)) ),
inference(superposition,[status(thm)],[c_15251,c_58]) ).
tcf(c_18413,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v5_lattices(sK17(X0))
| v3_struct_0(sK17(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(sK17(X0)) ),
inference(superposition,[status(thm)],[c_15251,c_57]) ).
tcf(c_18414,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v4_lattices(sK17(X0))
| v3_struct_0(sK17(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v10_lattices(sK17(X0)) ),
inference(superposition,[status(thm)],[c_15251,c_56]) ).
tcf(c_18464,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK30(X0)) ),
inference(superposition,[status(thm)],[c_17411,c_54]) ).
tcf(c_18465,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_17411,c_846]) ).
tcf(c_18466,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK30(X0),X1)
| ~ l3_lattices(X0)
| ~ r1_tarski(k1_zfmisc_1(u1_struct_0(X0)),X1) ),
inference(superposition,[status(thm)],[c_17411,c_845]) ).
tcf(c_18467,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_17411,c_228]) ).
tcf(c_18506,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_17616,c_54]) ).
tcf(c_18507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ v1_xboole_0(X2)
| ~ m1_relset_1(X3,X0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_17616,c_846]) ).
tcf(c_18508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(X3,X2)
| ~ m1_relset_1(X3,X0,X1)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_17616,c_845]) ).
tcf(c_18509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_17616,c_228]) ).
tcf(c_18512,plain,
! [X0: $i,X1: $i] :
( ~ m1_relset_1(k1_zfmisc_1(iPr_def_10),X0,X1)
| ~ m2_lattice4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK4) ),
inference(superposition,[status(thm)],[c_17616,c_15545]) ).
tcf(c_18549,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_filter_2(iPr_def_10,X2,k4_relset_1(iPr_def_10,X0,X1))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X2,iPr_def_13)
| ~ m1_relset_1(X1,iPr_def_10,X0)
| ~ r1_filter_2(iPr_def_10,k4_relset_1(iPr_def_10,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_92,c_18262]) ).
tcf(c_18550,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,sK14(k1_zfmisc_1(iPr_def_10)))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK14(k1_zfmisc_1(iPr_def_10)),X0) ),
inference(superposition,[status(thm)],[c_123,c_18262]) ).
tcf(c_18551,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,X0,sK22(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK22(iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_179,c_18262]) ).
tcf(c_18552,plain,
! [X0: $i,X1: $i] :
( r1_filter_2(iPr_def_10,X1,X0)
| ~ v10_lattices(iPr_def_13)
| ~ r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_223,c_18262]) ).
tcf(c_18553,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,k1_xboole_0)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,k1_xboole_0,X0) ),
inference(superposition,[status(thm)],[c_14051,c_18262]) ).
tcf(c_18554,plain,
! [X0: $i,X1: $i] :
( r1_filter_2(iPr_def_10,X1,X0)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_18069,c_18262]) ).
tcf(c_18555,plain,
! [X0: $i,X1: $i] :
( r1_filter_2(iPr_def_10,X1,X0)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X1,iPr_def_13)
| ~ m2_lattice4(X0,sK4)
| ~ r1_filter_2(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_15498,c_18262]) ).
tcf(c_18556,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,sK30(sK4))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK30(sK4),X0) ),
inference(superposition,[status(thm)],[c_17410,c_18262]) ).
tcf(c_18557,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,sK30(iPr_def_13))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK30(iPr_def_13),X0) ),
inference(superposition,[status(thm)],[c_18068,c_18262]) ).
tcf(c_18585,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,sK22(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ r1_filter_2(iPr_def_10,sK22(iPr_def_10),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18551,c_14805]) ).
tcf(c_18623,plain,
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,sK22(iPr_def_10),sK22(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ r1_tarski(sK22(iPr_def_10),iPr_def_10)
| ~ m2_lattice4(sK22(iPr_def_10),iPr_def_13) ),
inference(superposition,[status(thm)],[c_844,c_18585]) ).
tcf(c_18624,plain,
( r1_filter_2(iPr_def_10,sK22(iPr_def_10),sK22(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(sK22(iPr_def_10),iPr_def_13)
| ~ m2_lattice4(sK22(iPr_def_10),sK4) ),
inference(superposition,[status(thm)],[c_16664,c_18585]) ).
tcf(c_18629,plain,
( r1_filter_2(iPr_def_10,sK22(iPr_def_10),sK22(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ r1_tarski(sK22(iPr_def_10),iPr_def_10)
| ~ m2_lattice4(sK22(iPr_def_10),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18623,c_14805]) ).
tcf(c_18638,plain,
( r1_filter_2(iPr_def_10,sK22(iPr_def_10),sK22(iPr_def_10))
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(sK22(iPr_def_10),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18629,c_18235]) ).
tcf(c_18665,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_10)
| r1_filter_2(iPr_def_10,X0,X0)
| ~ v10_lattices(iPr_def_13)
| ~ r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ m2_lattice4(X0,sK4) ),
inference(superposition,[status(thm)],[c_844,c_18555]) ).
tcf(c_18667,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,X0)
| ~ v10_lattices(iPr_def_13)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ m2_lattice4(X0,sK4) ),
inference(superposition,[status(thm)],[c_16664,c_18555]) ).
tcf(c_18674,plain,
! [X0: $i] :
( r1_filter_2(iPr_def_10,X0,X0)
| ~ v10_lattices(iPr_def_13)
| ~ r1_tarski(X0,iPr_def_10)
| ~ m2_lattice4(X0,iPr_def_13)
| ~ m2_lattice4(X0,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18665,c_14805]) ).
fof(f226,definition,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f227,definition,
! [X2,X0,X1] :
( ~ sP1(X2,X0,X1)
| ( X2 = k23_filter_2(X0,X1)
<=> sP0(X1,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f228,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ! [X2] :
( ~ m2_nat_lat(X2,X0)
| sP1(X2,X0,X1) ) ) ),
inference(definition_folding,[],[f126,f227,f226]) ).
fof(f229,definition,
! [X1,X0] :
( ~ sP2(X1,X0)
| ( v10_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f230,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X1,X0) ),
inference(definition_folding,[],[f191,f229]) ).
fof(f231,definition,
! [X0] :
( ~ sP3(X0)
| ? [X1] :
( v10_lattices(X1)
& v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& v3_lattices(X1)
& ~ v3_struct_0(X1)
& m2_nat_lat(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f232,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP3(X0) ),
inference(definition_folding,[],[f199,f231]) ).
fof(f236,plain,
! [X1,X0,X2] :
( ( ~ sP0(X1,X0,X2)
| ? [X3] :
( ? [X4] :
( X2 = g3_lattices(X1,X3,X4)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X4) )
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X1,X3,X4) != X2
| k1_realset1(u1_lattices(X0),X1) != X4
| k1_realset1(u2_lattices(X0),X1) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3) )
| sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f237,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ? [X5] :
( ? [X6] :
( g3_lattices(X0,X5,X6) = X2
& k1_realset1(u1_lattices(X1),X0) = X6
& k1_realset1(u2_lattices(X1),X0) = X5
& m2_relset_1(X6,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X6,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X6) )
& m2_relset_1(X5,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X5,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X5) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X0,X3,X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| k1_realset1(u2_lattices(X1),X0) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f236]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( g3_lattices(X0,sK5(X0,X1,X2),sK6(X0,X1,X2)) = X2
& k1_realset1(u1_lattices(X1),X0) = sK6(X0,X1,X2)
& k1_realset1(u2_lattices(X1),X0) = sK5(X0,X1,X2)
& m2_relset_1(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK6(X0,X1,X2))
& m2_relset_1(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(sK5(X0,X1,X2)) ) )
& ( ! [X3] :
( ! [X4] :
( g3_lattices(X0,X3,X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| k1_realset1(u2_lattices(X1),X0) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4) )
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3) )
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X5,sK5(X0,X1,X2)),skolemize(X6,sK6(X0,X1,X2))],[f237]) ).
fof(f252,plain,
! [X1,X0] :
( ~ sP2(X1,X0)
| ( v10_lattices(k23_filter_2(X0,X1))
& v9_lattices(k23_filter_2(X0,X1))
& v8_lattices(k23_filter_2(X0,X1))
& v7_lattices(k23_filter_2(X0,X1))
& v6_lattices(k23_filter_2(X0,X1))
& v5_lattices(k23_filter_2(X0,X1))
& v4_lattices(k23_filter_2(X0,X1))
& v3_lattices(k23_filter_2(X0,X1))
& ~ v3_struct_0(k23_filter_2(X0,X1)) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f253,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ( v10_lattices(k23_filter_2(X1,X0))
& v9_lattices(k23_filter_2(X1,X0))
& v8_lattices(k23_filter_2(X1,X0))
& v7_lattices(k23_filter_2(X1,X0))
& v6_lattices(k23_filter_2(X1,X0))
& v5_lattices(k23_filter_2(X1,X0))
& v4_lattices(k23_filter_2(X1,X0))
& v3_lattices(k23_filter_2(X1,X0))
& ~ v3_struct_0(k23_filter_2(X1,X0)) ) ),
inference(rectify,[],[f252]) ).
fof(f256,plain,
! [X0] :
( ~ sP3(X0)
| ? [X1] :
( v10_lattices(X1)
& v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& v3_lattices(X1)
& ~ v3_struct_0(X1)
& m2_nat_lat(X1,X0) ) ),
inference(nnf_transformation,[],[f231]) ).
fof(f257,plain,
! [X0] :
( ~ sP3(X0)
| ( v10_lattices(sK21(X0))
& v9_lattices(sK21(X0))
& v8_lattices(sK21(X0))
& v7_lattices(sK21(X0))
& v6_lattices(sK21(X0))
& v5_lattices(sK21(X0))
& v4_lattices(sK21(X0))
& v3_lattices(sK21(X0))
& ~ v3_struct_0(sK21(X0))
& m2_nat_lat(sK21(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X1,sK21(X0))],[f256]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| g3_lattices(X0,sK5(X0,X1,X2),sK6(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f238]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u1_lattices(X1),X0) = sK6(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| k1_realset1(u2_lattices(X1),X0) = sK5(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| m2_relset_1(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_2(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_1(sK6(X0,X1,X2)) ),
inference(cnf_transformation,[],[f238]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| m2_relset_1(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_2(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v1_funct_1(sK5(X0,X1,X2)) ),
inference(cnf_transformation,[],[f238]) ).
fof(f303,plain,
! [X2,X3,X0,X1,X4] :
( g3_lattices(X0,X3,X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| k1_realset1(u2_lattices(X1),X0) != X3
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f376,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v10_lattices(k23_filter_2(X1,X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f379,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v7_lattices(k23_filter_2(X1,X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f380,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v6_lattices(k23_filter_2(X1,X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f381,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v5_lattices(k23_filter_2(X1,X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f382,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v4_lattices(k23_filter_2(X1,X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f383,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v3_lattices(k23_filter_2(X1,X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f384,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ v3_struct_0(k23_filter_2(X1,X0)) ),
inference(cnf_transformation,[],[f253]) ).
fof(f396,plain,
! [X0] :
( ~ sP3(X0)
| v10_lattices(sK21(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f399,plain,
! [X0] :
( ~ sP3(X0)
| v7_lattices(sK21(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f400,plain,
! [X0] :
( ~ sP3(X0)
| v6_lattices(sK21(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f401,plain,
! [X0] :
( ~ sP3(X0)
| v5_lattices(sK21(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f402,plain,
! [X0] :
( ~ sP3(X0)
| v4_lattices(sK21(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f403,plain,
! [X0] :
( ~ sP3(X0)
| v3_lattices(sK21(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f404,plain,
! [X0] :
( ~ sP3(X0)
| ~ v3_struct_0(sK21(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f405,plain,
! [X0] :
( ~ sP3(X0)
| m2_nat_lat(sK21(X0),X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f460,plain,
! [X2,X0,X1,X4] :
( g3_lattices(X0,k1_realset1(u2_lattices(X1),X0),X4) != X2
| k1_realset1(u1_lattices(X1),X0) != X4
| ~ m2_relset_1(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| sP0(X0,X1,X2) ),
inference(equality_resolution,[],[f303]) ).
fof(f461,plain,
! [X2,X0,X1] :
( g3_lattices(X0,k1_realset1(u2_lattices(X1),X0),k1_realset1(u1_lattices(X1),X0)) != X2
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| sP0(X0,X1,X2) ),
inference(equality_resolution,[],[f460]) ).
fof(f462,plain,
! [X0,X1] :
( ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| sP0(X0,X1,g3_lattices(X0,k1_realset1(u2_lattices(X1),X0),k1_realset1(u1_lattices(X1),X0))) ),
inference(equality_resolution,[],[f461]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( sP0(X1,X0,g3_lattices(X1,k1_realset1(u2_lattices(X0),X1),k1_realset1(u1_lattices(X0),X1)))
| ~ v1_funct_1(k1_realset1(u1_lattices(X0),X1))
| ~ v1_funct_1(k1_realset1(u2_lattices(X0),X1))
| ~ m2_relset_1(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f462]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK5(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_1(sK6(X0,X1,X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_funct_2(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK5(X0,X1,X2) = k1_realset1(u2_lattices(X1),X0) )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK6(X0,X1,X2) = k1_realset1(u1_lattices(X1),X0) )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( g3_lattices(X0,sK5(X0,X1,X2),sK6(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( ~ sP2(X1,X0)
| ~ v3_struct_0(k23_filter_2(X0,X1)) ),
inference(cnf_transformation,[],[f384]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( v3_lattices(k23_filter_2(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( v4_lattices(k23_filter_2(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( v5_lattices(k23_filter_2(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( v6_lattices(k23_filter_2(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( v7_lattices(k23_filter_2(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( v10_lattices(k23_filter_2(X1,X0))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_168,plain,
! [X0: $i] :
( m2_nat_lat(sK21(X0),X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f405]) ).
tcf(c_169,plain,
! [X0: $i] :
( ~ sP3(X0)
| ~ v3_struct_0(sK21(X0)) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_170,plain,
! [X0: $i] :
( v3_lattices(sK21(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_171,plain,
! [X0: $i] :
( v4_lattices(sK21(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_172,plain,
! [X0: $i] :
( v5_lattices(sK21(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_173,plain,
! [X0: $i] :
( v6_lattices(sK21(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_174,plain,
! [X0: $i] :
( v7_lattices(sK21(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f399]) ).
tcf(c_177,plain,
! [X0: $i] :
( v10_lattices(sK21(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_14066,plain,
( v3_lattices(iPr_def_15)
| ~ sP2(iPr_def_14,sK4) ),
inference(superposition,[status(thm)],[c_10389,c_149]) ).
tcf(c_14067,plain,
( v3_lattices(iPr_def_17)
| ~ sP2(iPr_def_16,sK4) ),
inference(superposition,[status(thm)],[c_10391,c_149]) ).
tcf(c_14084,plain,
( v4_lattices(iPr_def_15)
| ~ sP2(iPr_def_14,sK4) ),
inference(superposition,[status(thm)],[c_10389,c_150]) ).
tcf(c_14085,plain,
( v4_lattices(iPr_def_17)
| ~ sP2(iPr_def_16,sK4) ),
inference(superposition,[status(thm)],[c_10391,c_150]) ).
tcf(c_14102,plain,
( v5_lattices(iPr_def_15)
| ~ sP2(iPr_def_14,sK4) ),
inference(superposition,[status(thm)],[c_10389,c_151]) ).
tcf(c_14103,plain,
( v5_lattices(iPr_def_17)
| ~ sP2(iPr_def_16,sK4) ),
inference(superposition,[status(thm)],[c_10391,c_151]) ).
tcf(c_14116,plain,
( ~ v3_struct_0(iPr_def_15)
| ~ sP2(iPr_def_14,sK4) ),
inference(superposition,[status(thm)],[c_10389,c_148]) ).
tcf(c_14117,plain,
( ~ v3_struct_0(iPr_def_17)
| ~ sP2(iPr_def_16,sK4) ),
inference(superposition,[status(thm)],[c_10391,c_148]) ).
tcf(c_14126,plain,
( v6_lattices(iPr_def_15)
| ~ sP2(iPr_def_14,sK4) ),
inference(superposition,[status(thm)],[c_10389,c_152]) ).
tcf(c_14127,plain,
( v6_lattices(iPr_def_17)
| ~ sP2(iPr_def_16,sK4) ),
inference(superposition,[status(thm)],[c_10391,c_152]) ).
tcf(c_14136,plain,
( v7_lattices(iPr_def_15)
| ~ sP2(iPr_def_14,sK4) ),
inference(superposition,[status(thm)],[c_10389,c_153]) ).
tcf(c_14137,plain,
( v7_lattices(iPr_def_17)
| ~ sP2(iPr_def_16,sK4) ),
inference(superposition,[status(thm)],[c_10391,c_153]) ).
tcf(c_14146,plain,
( v10_lattices(iPr_def_15)
| ~ sP2(iPr_def_14,sK4) ),
inference(superposition,[status(thm)],[c_10389,c_156]) ).
tcf(c_14147,plain,
( v10_lattices(iPr_def_17)
| ~ sP2(iPr_def_16,sK4) ),
inference(superposition,[status(thm)],[c_10391,c_156]) ).
tcf(c_14695,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(k23_filter_2(X0,X1))
| ( k1_filter_2(k23_filter_2(X0,X1)) = k1_filter_0(k23_filter_2(X0,X1)) )
| ~ sP2(X1,X0)
| ~ l3_lattices(k23_filter_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_156,c_209]) ).
tcf(c_14696,plain,
! [X0: $i] :
( v3_struct_0(sK21(X0))
| ( k1_filter_2(sK21(X0)) = k1_filter_0(sK21(X0)) )
| ~ sP3(X0)
| ~ l3_lattices(sK21(X0)) ),
inference(superposition,[status(thm)],[c_177,c_209]) ).
tcf(c_14980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X3)
| ~ sP0(X0,X1,X2)
| ~ v1_funct_1(sK5(X0,X1,X2))
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,sK5(X0,X1,X2),X3))
| ~ m1_relset_1(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_68,c_140]) ).
tcf(c_14981,plain,
! [X0: $i,X1: $i] :
( ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK5(iPr_def_10,X0,X1))
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,sK5(iPr_def_10,X0,X1)))
| ~ m1_relset_1(sK5(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_68,c_14908]) ).
tcf(c_14999,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_69,c_215]) ).
tcf(c_15033,plain,
! [X0: $i,X1: $i] :
( ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK5(iPr_def_10,X0,X1))
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,sK5(iPr_def_10,X0,X1)))
| ~ m1_relset_1(sK5(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_68,c_15023]) ).
tcf(c_15054,plain,
! [X0: $i,X1: $i] :
( ~ sP0(iPr_def_10,X0,X1)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,sK5(iPr_def_10,X0,X1)))
| ~ m1_relset_1(sK5(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14981,c_67]) ).
tcf(c_15074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X3)
| ~ sP0(X0,X1,X2)
| ~ v1_funct_1(sK6(X0,X1,X2))
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,sK6(X0,X1,X2),X3))
| ~ m1_relset_1(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_71,c_140]) ).
tcf(c_15075,plain,
! [X0: $i,X1: $i] :
( ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK6(iPr_def_10,X0,X1))
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1)))
| ~ m1_relset_1(sK6(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_71,c_15023]) ).
tcf(c_15076,plain,
! [X0: $i,X1: $i] :
( ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK6(iPr_def_10,X0,X1))
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,sK6(iPr_def_10,X0,X1)))
| ~ m1_relset_1(sK6(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_71,c_14908]) ).
tcf(c_15099,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0)
| ~ sP0(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_215]) ).
tcf(c_15112,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(k23_filter_2(X0,X1))
| ( u1_struct_0(k23_filter_2(X0,X1)) = k1_filter_0(k23_filter_2(X0,X1)) )
| ~ sP2(X1,X0)
| ~ l3_lattices(k23_filter_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_156,c_83]) ).
tcf(c_15113,plain,
! [X0: $i] :
( v3_struct_0(sK21(X0))
| ( u1_struct_0(sK21(X0)) = k1_filter_0(sK21(X0)) )
| ~ sP3(X0)
| ~ l3_lattices(sK21(X0)) ),
inference(superposition,[status(thm)],[c_177,c_83]) ).
tcf(c_15130,plain,
( ~ v3_struct_0(iPr_def_17)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14117,c_15118]) ).
tcf(c_15131,plain,
( v10_lattices(iPr_def_17)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14147,c_15118]) ).
tcf(c_15132,plain,
( v7_lattices(iPr_def_17)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14137,c_15118]) ).
tcf(c_15133,plain,
( v6_lattices(iPr_def_17)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14127,c_15118]) ).
tcf(c_15134,plain,
( v5_lattices(iPr_def_17)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14103,c_15118]) ).
tcf(c_15135,plain,
( v4_lattices(iPr_def_17)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14085,c_15118]) ).
tcf(c_15136,plain,
( v3_lattices(iPr_def_17)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14067,c_15118]) ).
tcf(c_15166,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(k23_filter_2(X0,X1))
| ( k17_filter_2(k23_filter_2(X0,X1)) = u1_struct_0(k23_filter_2(X0,X1)) )
| ~ sP2(X1,X0)
| ~ l3_lattices(k23_filter_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_156,c_85]) ).
tcf(c_15167,plain,
! [X0: $i] :
( v3_struct_0(sK21(X0))
| ( k17_filter_2(sK21(X0)) = u1_struct_0(sK21(X0)) )
| ~ sP3(X0)
| ~ l3_lattices(sK21(X0)) ),
inference(superposition,[status(thm)],[c_177,c_85]) ).
tcf(c_15180,plain,
( ~ v3_struct_0(iPr_def_15)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14116,c_15171]) ).
tcf(c_15181,plain,
( v10_lattices(iPr_def_15)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14146,c_15171]) ).
tcf(c_15182,plain,
( v7_lattices(iPr_def_15)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14136,c_15171]) ).
tcf(c_15183,plain,
( v6_lattices(iPr_def_15)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14126,c_15171]) ).
tcf(c_15184,plain,
( v5_lattices(iPr_def_15)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14102,c_15171]) ).
tcf(c_15185,plain,
( v4_lattices(iPr_def_15)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14084,c_15171]) ).
tcf(c_15186,plain,
( v3_lattices(iPr_def_15)
| ~ sP2(iPr_def_10,sK4) ),
inference(demodulation,[status(thm)],[c_14066,c_15171]) ).
tcf(c_15252,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l3_lattices(sK21(X0))
| ~ sP3(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_168,c_108]) ).
tcf(c_15337,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ sP3(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v3_struct_0(sK21(X0)) ),
inference(superposition,[status(thm)],[c_168,c_106]) ).
tcf(c_15365,plain,
! [X0: $i,X1: $i] :
( ( g3_lattices(u1_struct_0(k23_filter_2(X0,X1)),u2_lattices(k23_filter_2(X0,X1)),u1_lattices(k23_filter_2(X0,X1))) = k23_filter_2(X0,X1) )
| ~ sP2(X1,X0)
| ~ l3_lattices(k23_filter_2(X0,X1)) ),
inference(superposition,[status(thm)],[c_149,c_53]) ).
tcf(c_15366,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(sK21(X0)),u2_lattices(sK21(X0)),u1_lattices(sK21(X0))) = sK21(X0) )
| ~ sP3(X0)
| ~ l3_lattices(sK21(X0)) ),
inference(superposition,[status(thm)],[c_170,c_53]) ).
tcf(c_15425,plain,
! [X0: $i,X1: $i] :
( ~ sP0(iPr_def_10,X0,X1)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,sK5(iPr_def_10,X0,X1)))
| ~ m1_relset_1(sK5(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15033,c_67]) ).
tcf(c_15439,plain,
! [X0: $i,X1: $i] :
( ~ sP0(iPr_def_10,X0,X1)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1)))
| ~ m1_relset_1(sK6(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15075,c_70]) ).
tcf(c_15559,plain,
! [X0: $i,X1: $i] :
( ~ sP0(iPr_def_10,X0,X1)
| ~ v3_struct_0(g3_lattices(iPr_def_10,iPr_def_12,sK6(iPr_def_10,X0,X1)))
| ~ m1_relset_1(sK6(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15076,c_70]) ).
tcf(c_15587,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(k1_xboole_0,k1_xboole_0) = k1_xboole_0 )
| ( sK5(k1_xboole_0,X0,X1) = k1_xboole_0 )
| ~ sP0(k1_xboole_0,X0,X1)
| ~ m2_relset_1(sK5(k1_xboole_0,X0,X1),k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_68,c_82]) ).
tcf(c_15588,plain,
! [X0: $i,X1: $i] :
( ( k2_zfmisc_1(k1_xboole_0,k1_xboole_0) = k1_xboole_0 )
| ( sK6(k1_xboole_0,X0,X1) = k1_xboole_0 )
| ~ sP0(k1_xboole_0,X0,X1)
| ~ m2_relset_1(sK6(k1_xboole_0,X0,X1),k2_zfmisc_1(k1_xboole_0,k1_xboole_0),k1_xboole_0) ),
inference(superposition,[status(thm)],[c_71,c_82]) ).
tcf(c_15953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_lattices(g3_lattices(X0,sK5(X0,X1,X2),X3))
| ~ v1_funct_1(X3)
| ~ sP0(X0,X1,X2)
| ~ v1_funct_1(sK5(X0,X1,X2))
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_68,c_86]) ).
tcf(c_15954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_lattices(g3_lattices(X0,sK6(X0,X1,X2),X3))
| ~ v1_funct_1(X3)
| ~ sP0(X0,X1,X2)
| ~ v1_funct_1(sK6(X0,X1,X2))
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_71,c_86]) ).
tcf(c_16040,plain,
( ( g3_lattices(iPr_def_10,sK5(iPr_def_10,sK4,iPr_def_15),sK6(iPr_def_10,sK4,iPr_def_15)) = iPr_def_15 )
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(superposition,[status(thm)],[c_16034,c_75]) ).
tcf(c_16041,plain,
( ( k1_realset1(u1_lattices(sK4),iPr_def_10) = sK6(iPr_def_10,sK4,iPr_def_15) )
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(superposition,[status(thm)],[c_16034,c_74]) ).
tcf(c_16042,plain,
( ( k1_realset1(u2_lattices(sK4),iPr_def_10) = sK5(iPr_def_10,sK4,iPr_def_15) )
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(superposition,[status(thm)],[c_16034,c_73]) ).
tcf(c_16043,plain,
( ( sK5(iPr_def_10,sK4,iPr_def_15) = k1_realset1(iPr_def_11,iPr_def_10) )
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(light_normalisation,[status(thm)],[c_16042,c_10385]) ).
tcf(c_16046,plain,
( ( sK6(iPr_def_10,sK4,iPr_def_15) = k1_realset1(iPr_def_12,iPr_def_10) )
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(light_normalisation,[status(thm)],[c_16041,c_10386]) ).
tcf(c_16211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l3_lattices(g3_lattices(X0,sK5(X0,X1,X2),X3))
| ~ v1_funct_1(X3)
| ~ sP0(X0,X1,X2)
| ~ v1_funct_1(sK5(X0,X1,X2))
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(sK5(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_68,c_87]) ).
tcf(c_16212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l3_lattices(g3_lattices(X0,sK6(X0,X1,X2),X3))
| ~ v1_funct_1(X3)
| ~ sP0(X0,X1,X2)
| ~ v1_funct_1(sK6(X0,X1,X2))
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(sK6(X0,X1,X2),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_71,c_87]) ).
tcf(c_16683,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_11,sK5(iPr_def_10,X0,X1)))
| ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK5(iPr_def_10,X0,X1))
| ~ m1_relset_1(sK5(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_68,c_15959]) ).
tcf(c_16684,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1)))
| ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK6(iPr_def_10,X0,X1))
| ~ m1_relset_1(sK6(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_71,c_15959]) ).
tcf(c_16734,plain,
! [X0: $i] :
( sP0(X0,sK4,g3_lattices(X0,k1_realset1(iPr_def_11,X0),k1_realset1(u1_lattices(sK4),X0)))
| ~ v1_funct_1(k1_realset1(u1_lattices(sK4),X0))
| ~ v1_funct_1(k1_realset1(u2_lattices(sK4),X0))
| ~ m2_relset_1(k1_realset1(u1_lattices(sK4),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK4),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK4),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK4),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_10385,c_66]) ).
tcf(c_16735,plain,
! [X0: $i] :
( sP0(X0,sK4,g3_lattices(X0,k1_realset1(u2_lattices(sK4),X0),k1_realset1(iPr_def_12,X0)))
| ~ v1_funct_1(k1_realset1(u1_lattices(sK4),X0))
| ~ v1_funct_1(k1_realset1(u2_lattices(sK4),X0))
| ~ m2_relset_1(k1_realset1(u1_lattices(sK4),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK4),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK4),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK4),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_10386,c_66]) ).
tcf(c_16736,plain,
! [X0: $i,X1: $i] :
( ( g3_lattices(X1,sK5(X1,X0,g3_lattices(X1,k1_realset1(u2_lattices(X0),X1),k1_realset1(u1_lattices(X0),X1))),sK6(X1,X0,g3_lattices(X1,k1_realset1(u2_lattices(X0),X1),k1_realset1(u1_lattices(X0),X1)))) = g3_lattices(X1,k1_realset1(u2_lattices(X0),X1),k1_realset1(u1_lattices(X0),X1)) )
| ~ v1_funct_1(k1_realset1(u1_lattices(X0),X1))
| ~ v1_funct_1(k1_realset1(u2_lattices(X0),X1))
| ~ m2_relset_1(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1) ),
inference(superposition,[status(thm)],[c_66,c_75]) ).
tcf(c_16737,plain,
! [X0: $i,X1: $i] :
( ( sK6(X1,X0,g3_lattices(X1,k1_realset1(u2_lattices(X0),X1),k1_realset1(u1_lattices(X0),X1))) = k1_realset1(u1_lattices(X0),X1) )
| ~ v1_funct_1(k1_realset1(u1_lattices(X0),X1))
| ~ v1_funct_1(k1_realset1(u2_lattices(X0),X1))
| ~ m2_relset_1(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1) ),
inference(superposition,[status(thm)],[c_66,c_74]) ).
tcf(c_16738,plain,
! [X0: $i,X1: $i] :
( ( sK5(X1,X0,g3_lattices(X1,k1_realset1(u2_lattices(X0),X1),k1_realset1(u1_lattices(X0),X1))) = k1_realset1(u2_lattices(X0),X1) )
| ~ v1_funct_1(k1_realset1(u1_lattices(X0),X1))
| ~ v1_funct_1(k1_realset1(u2_lattices(X0),X1))
| ~ m2_relset_1(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1) ),
inference(superposition,[status(thm)],[c_66,c_73]) ).
tcf(c_16739,plain,
! [X0: $i] :
( sP0(X0,sK4,g3_lattices(X0,k1_realset1(iPr_def_11,X0),k1_realset1(iPr_def_12,X0)))
| ~ v1_funct_1(k1_realset1(iPr_def_12,X0))
| ~ v1_funct_1(k1_realset1(iPr_def_11,X0))
| ~ m2_relset_1(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(X0,X0),X0) ),
inference(light_normalisation,[status(thm)],[c_16735,c_10385,c_10386]) ).
tcf(c_16866,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_12,sK5(iPr_def_10,X0,X1)))
| ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK5(iPr_def_10,X0,X1))
| ~ m1_relset_1(sK5(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_68,c_15964]) ).
tcf(c_16867,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(iPr_def_10,iPr_def_12,sK6(iPr_def_10,X0,X1)))
| ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK6(iPr_def_10,X0,X1))
| ~ m1_relset_1(sK6(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_71,c_15964]) ).
tcf(c_16900,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_11,sK5(iPr_def_10,X0,X1)))
| ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK5(iPr_def_10,X0,X1))
| ~ m1_relset_1(sK5(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_68,c_16218]) ).
tcf(c_16901,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_11,sK6(iPr_def_10,X0,X1)))
| ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK6(iPr_def_10,X0,X1))
| ~ m1_relset_1(sK6(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_71,c_16218]) ).
tcf(c_16975,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,sK5(iPr_def_10,X0,X1)))
| ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK5(iPr_def_10,X0,X1))
| ~ m1_relset_1(sK5(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_68,c_16223]) ).
tcf(c_16976,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(iPr_def_10,iPr_def_12,sK6(iPr_def_10,X0,X1)))
| ~ sP0(iPr_def_10,X0,X1)
| ~ v1_funct_1(sK6(iPr_def_10,X0,X1))
| ~ m1_relset_1(sK6(iPr_def_10,X0,X1),k2_zfmisc_1(iPr_def_10,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_71,c_16223]) ).
tcf(c_17856,plain,
( ( sK5(iPr_def_10,sK4,iPr_def_15) = iPr_def_11 )
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(light_normalisation,[status(thm)],[c_16043,c_17304]) ).
tcf(c_17863,plain,
( ( sK6(iPr_def_10,sK4,iPr_def_15) = iPr_def_12 )
| ~ m2_lattice4(iPr_def_10,sK4) ),
inference(light_normalisation,[status(thm)],[c_16046,c_17208]) ).
tcf(c_18031,plain,
! [X0: $i] :
( sP0(X0,iPr_def_13,g3_lattices(X0,k1_realset1(u2_lattices(iPr_def_13),X0),k1_realset1(iPr_def_12,X0)))
| ~ v1_funct_1(k1_realset1(u1_lattices(iPr_def_13),X0))
| ~ v1_funct_1(k1_realset1(u2_lattices(iPr_def_13),X0))
| ~ m2_relset_1(k1_realset1(u1_lattices(iPr_def_13),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(iPr_def_13),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u1_lattices(iPr_def_13),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(iPr_def_13),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_17955,c_66]) ).
tcf(c_18037,plain,
! [X0: $i] :
( sP0(X0,iPr_def_13,g3_lattices(X0,k1_realset1(iPr_def_11,X0),k1_realset1(iPr_def_12,X0)))
| ~ v1_funct_1(k1_realset1(iPr_def_12,X0))
| ~ v1_funct_1(k1_realset1(iPr_def_11,X0))
| ~ m2_relset_1(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(X0,X0),X0) ),
inference(light_normalisation,[status(thm)],[c_18031,c_17955,c_17956]) ).
tcf(c_18038,plain,
! [X0: $i] :
( sP0(X0,iPr_def_13,g3_lattices(X0,k1_realset1(iPr_def_11,X0),k1_realset1(iPr_def_12,X0)))
| ~ m2_relset_1(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(iPr_def_12,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(iPr_def_11,X0),k2_zfmisc_1(X0,X0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18037,c_17216,c_17328]) ).
tcf(c_18047,plain,
! [X0: $i] :
( sP0(X0,iPr_def_13,g3_lattices(X0,k1_realset1(iPr_def_11,X0),k1_realset1(u1_lattices(iPr_def_13),X0)))
| ~ v1_funct_1(k1_realset1(u1_lattices(iPr_def_13),X0))
| ~ v1_funct_1(k1_realset1(u2_lattices(iPr_def_13),X0))
| ~ m2_relset_1(k1_realset1(u1_lattices(iPr_def_13),X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(iPr_def_13),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u1_lattices(iPr_def_13),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(k1_realset1(u2_lattices(iPr_def_13),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_17956,c_66]) ).
tcf(c_18694,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_18674,c_18667,c_18665,c_18638,c_18629,c_18624,c_18623,c_18585,c_18557,c_18556,c_18555,c_18554,c_18553,c_18552,c_18551,c_18550,c_18549,c_18512,c_18509,c_18508,c_18507,c_18506,c_18467,c_18466,c_18465,c_18464,c_18414,c_18413,c_18412,c_18411,c_18410,c_18399,c_18396,c_18395,c_18394,c_18320,c_18292,c_18291,c_18290,c_18289,c_18288,c_18287,c_18286,c_18285,c_18284,c_18262,c_18256,c_18242,c_18238,c_18237,c_18236,c_18235,c_18234,c_18233,c_18222,c_18218,c_18217,c_18195,c_18193,c_18174,c_18170,c_18163,c_18162,c_18161,c_18160,c_18158,c_18157,c_18135,c_18134,c_18133,c_18113,c_18112,c_18111,c_18110,c_18106,c_18105,c_18089,c_18088,c_18086,c_18085,c_18084,c_18083,c_18082,c_18081,c_18080,c_18069,c_18068,c_18063,c_18062,c_18060,c_18059,c_18058,c_18057,c_18056,c_18055,c_18052,c_18051,c_18049,c_18048,c_18047,c_18038,c_18037,c_18036,c_18035,c_18033,c_18032,c_18031,c_18012,c_17963,c_17962,c_17961,c_17960,c_17959,c_17958,c_17957,c_17956,c_17955,c_17953,c_17948,c_17928,c_17913,c_17898,c_17897,c_17896,c_17895,c_17890,c_17889,c_17880,c_17879,c_17871,c_17870,c_17863,c_17856,c_17814,c_17813,c_17812,c_17805,c_17804,c_17801,c_17797,c_17796,c_17794,c_17793,c_17771,c_17770,c_17769,c_17768,c_17767,c_17766,c_17737,c_17736,c_17735,c_17734,c_17732,c_17731,c_17726,c_17725,c_17683,c_17682,c_17675,c_17674,c_17672,c_17671,c_17669,c_17668,c_17665,c_17664,c_17657,c_17656,c_17653,c_17652,c_17651,c_17650,c_17616,c_17611,c_17610,c_17609,c_17608,c_17607,c_17595,c_17586,c_17585,c_17564,c_17562,c_17534,c_17533,c_17503,c_17502,c_17500,c_17499,c_17498,c_17496,c_17476,c_17475,c_17474,c_17473,c_17453,c_17449,c_17442,c_17441,c_17440,c_17439,c_17438,c_17437,c_17436,c_17411,c_17410,c_17406,c_17405,c_17404,c_17403,c_17402,c_17383,c_17382,c_17349,c_17348,c_17339,c_17338,c_17328,c_17327,c_17326,c_17325,c_17324,c_17323,c_17304,c_17300,c_17299,c_17292,c_17283,c_17282,c_17281,c_17280,c_17261,c_17260,c_17239,c_17238,c_17223,c_17222,c_17216,c_17215,c_17214,c_17213,c_17212,c_17211,c_17208,c_17196,c_17193,c_17190,c_17187,c_17184,c_17183,c_17182,c_17181,c_17180,c_17179,c_17161,c_17160,c_17157,c_17148,c_17147,c_17146,c_17145,c_17096,c_17094,c_17093,c_17092,c_17091,c_17090,c_17089,c_17088,c_17086,c_17038,c_17037,c_17036,c_17035,c_17034,c_17033,c_17032,c_17031,c_17030,c_17029,c_17028,c_17010,c_17007,c_17004,c_17001,c_16998,c_16997,c_16996,c_16995,c_16994,c_16993,c_16980,c_16979,c_16978,c_16977,c_16976,c_16975,c_16960,c_16957,c_16954,c_16951,c_16948,c_16947,c_16946,c_16945,c_16944,c_16943,c_16936,c_16933,c_16930,c_16927,c_16924,c_16923,c_16922,c_16921,c_16920,c_16919,c_16906,c_16905,c_16904,c_16903,c_16902,c_16901,c_16900,c_16889,c_16884,c_16871,c_16870,c_16869,c_16868,c_16867,c_16866,c_16849,c_16848,c_16845,c_16844,c_16793,c_16792,c_16791,c_16790,c_16789,c_16788,c_16787,c_16786,c_16785,c_16784,c_16783,c_16782,c_16781,c_16780,c_16779,c_16778,c_16777,c_16776,c_16775,c_16774,c_16739,c_16735,c_16734,c_16713,c_16710,c_16689,c_16688,c_16687,c_16686,c_16685,c_16684,c_16683,c_17949,c_16664,c_16655,c_16653,c_16631,c_16630,c_16629,c_16617,c_16616,c_16615,c_16601,c_16600,c_16599,c_16591,c_16575,c_16569,c_16563,c_16562,c_16561,c_16560,c_16558,c_16498,c_16487,c_16486,c_16485,c_16484,c_16483,c_16482,c_16481,c_16400,c_16389,c_16388,c_16387,c_16386,c_16385,c_16384,c_16383,c_16307,c_16296,c_16295,c_16294,c_16293,c_16292,c_16291,c_16290,c_16228,c_16223,c_16218,c_16217,c_16216,c_16215,c_16214,c_16213,c_16212,c_16211,c_16192,c_16191,c_16190,c_16189,c_16179,c_16167,c_16166,c_16146,c_16134,c_16133,c_16132,c_16131,c_16130,c_16129,c_16086,c_16074,c_16073,c_16072,c_16071,c_16070,c_16069,c_16046,c_16043,c_16042,c_16041,c_16040,c_16034,c_16033,c_16022,c_16016,c_16015,c_16014,c_16013,c_15964,c_15959,c_15958,c_15957,c_15956,c_15955,c_15954,c_15953,c_15916,c_15915,c_15848,c_15834,c_15825,c_15824,c_15823,c_15822,c_15821,c_15820,c_15819,c_15818,c_15817,c_15816,c_15815,c_15814,c_15813,c_15747,c_15733,c_15724,c_15723,c_15722,c_15721,c_15720,c_15719,c_15718,c_15717,c_15716,c_15715,c_15714,c_15713,c_15712,c_15700,c_15690,c_15689,c_15688,c_15687,c_15681,c_15676,c_15675,c_15674,c_15673,c_15615,c_15611,c_15588,c_15587,c_15574,c_15559,c_15548,c_15546,c_15545,c_15540,c_15539,c_15538,c_15537,c_15528,c_15525,c_15524,c_15516,c_15515,c_15511,c_15510,c_15501,c_15498,c_15492,c_15491,c_15490,c_15469,c_15468,c_15467,c_15439,c_15425,c_15419,c_15417,c_15416,c_15414,c_15412,c_15411,c_15390,c_15387,c_15385,c_15354,c_15353,c_15352,c_15351,c_15337,c_15297,c_15290,c_15278,c_15269,c_15207,c_15205,c_15188,c_15187,c_15186,c_15185,c_15184,c_15183,c_15182,c_15181,c_15180,c_15171,c_15170,c_15169,c_15168,c_15167,c_15166,c_15165,c_15138,c_15137,c_15136,c_15135,c_15134,c_15133,c_15132,c_15131,c_15130,c_15129,c_15128,c_15127,c_15118,c_15117,c_15116,c_15115,c_15114,c_15113,c_15112,c_15111,c_15099,c_15076,c_15075,c_15074,c_15067,c_15066,c_15065,c_15064,c_15054,c_15049,c_15048,c_15047,c_15046,c_15045,c_15044,c_15038,c_15037,c_15036,c_15035,c_15034,c_15033,c_15023,c_15020,c_15018,c_15017,c_15010,c_15007,c_15006,c_15005,c_15003,c_14999,c_14981,c_14980,c_14970,c_14969,c_14968,c_14965,c_14964,c_14948,c_14947,c_14946,c_14943,c_14942,c_14935,c_14934,c_14933,c_14932,c_14930,c_14929,c_14926,c_14925,c_14924,c_14923,c_14922,c_14921,c_14920,c_14919,c_14918,c_14908,c_14905,c_14904,c_14897,c_14896,c_14894,c_14888,c_14887,c_14886,c_14883,c_14882,c_14866,c_14865,c_14864,c_14861,c_14860,c_14853,c_14852,c_14844,c_14837,c_14836,c_14835,c_14834,c_14818,c_14810,c_14805,c_14804,c_14788,c_14787,c_14751,c_14750,c_14749,c_14748,c_14747,c_14746,c_14745,c_14744,c_14743,c_14742,c_14741,c_14728,c_14725,c_14724,c_14723,c_14700,c_14699,c_14698,c_14697,c_14696,c_14695,c_14694,c_14682,c_14681,c_14673,c_14672,c_14664,c_14663,c_14654,c_14643,c_14640,c_14639,c_14599,c_14594,c_14593,c_14592,c_14574,c_14565,c_14564,c_14563,c_14562,c_14561,c_14560,c_14559,c_14480,c_14471,c_14469,c_14468,c_14467,c_14466,c_14445,c_14435,c_14434,c_14429,c_14409,c_14408,c_14399,c_14397,c_14396,c_14395,c_14394,c_14385,c_14376,c_14374,c_14373,c_14372,c_14371,c_14362,c_14353,c_14351,c_14350,c_14349,c_14348,c_14336,c_14333,c_14330,c_14327,c_14326,c_14325,c_14322,c_14321,c_14320,c_14319,c_14318,c_14317,c_14316,c_14293,c_14282,c_14246,c_14240,c_14222,c_14221,c_14220,c_14200,c_14199,c_14197,c_14196,c_14147,c_14146,c_14137,c_14136,c_14127,c_14126,c_14117,c_14116,c_14103,c_14102,c_14085,c_14084,c_14067,c_14066,c_14051,c_14049,c_14044,c_14043,c_14042,c_13972,c_13971,c_13966,c_13965,c_13931,c_13929,c_13928,c_10395,c_10391,c_10390,c_10389,c_10388,c_10387,c_10386,c_10385,c_10384,c_14304,c_14613,c_16738,c_16737,c_16736,c_15252,c_15336,c_15235,c_15251,c_15613,c_4469,c_4450,c_4433,c_4418,c_4403,c_4388,c_4373,c_4358,c_4314,c_4299,c_4269,c_4254,c_15612,c_15614,c_6049,c_6047,c_6045,c_6043,c_6041,c_6039,c_3345,c_3338,c_3331,c_6057,c_6055,c_6050,c_3294,c_3282,c_3270,c_3239,c_3224,c_3209,c_3194,c_3160,c_3155,c_3150,c_3139,c_3128,c_5856,c_5858,c_5860,c_3084,c_3069,c_3033,c_3028,c_3023,c_3012,c_3001,c_5850,c_5852,c_5854,c_2950,c_2935,c_15268,c_17891,c_15370,c_15369,c_15371,c_15368,c_15372,c_15367,c_15366,c_15365,c_15914,c_15913,c_846,c_845,c_844,c_843,c_5881,c_17894,c_230,c_229,c_228,c_227,c_224,c_223,c_222,c_221,c_220,c_219,c_217,c_215,c_214,c_211,c_210,c_209,c_208,c_205,c_204,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_193,c_191,c_190,c_189,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_179,c_178,c_177,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_161,c_157,c_156,c_153,c_152,c_151,c_150,c_149,c_148,c_147,c_143,c_140,c_136,c_131,c_130,c_128,c_127,c_126,c_125,c_123,c_122,c_119,c_108,c_107,c_106,c_105,c_94,c_93,c_92,c_91,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_62,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_10392,c_10393,c_10394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 21:09:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42
% 0.13/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.42
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 11.06/2.89 % SZS status Started for theBenchmark.p
% 11.06/2.89 % SZS status Theorem for theBenchmark.p
% 11.06/2.89
% 11.06/2.89 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.06/2.89
% 11.06/2.89 % ------ iProver source info
% 11.06/2.89
% 11.06/2.89 % git: date: 2026-07-19 20:42:38 +0200
% 11.06/2.89 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.06/2.89 % git: non_committed_changes: false
% 11.06/2.89
% 11.06/2.89 % ------ Parsing...
% 11.06/2.89 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.06/2.89
% 11.06/2.89 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe_e %
% 11.06/2.89
% 11.06/2.89 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.06/2.89
% 11.06/2.89 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.06/2.89 % ------ Proving...
% 11.06/2.89 % ------ Problem Properties
% 11.06/2.89
% 11.06/2.89 %
% 11.06/2.89 % clauses 185
% 11.06/2.89 % conjectures 4
% 11.06/2.89 % EPR 54
% 11.06/2.89 % Horn 136
% 11.06/2.89 % unary 52
% 11.06/2.89 % binary 61
% 11.06/2.89 % lits 479
% 11.06/2.89 % lits eq 40
% 11.06/2.89 % fd_pure 0
% 11.06/2.89 % fd_pseudo 0
% 11.06/2.89 % fd_cond 4
% 11.06/2.89 % fd_pseudo_cond 6
% 11.06/2.89 % AC symbols 0
% 11.06/2.89
% 11.06/2.89 % ------ Schedule dynamic 5 is on
% 11.06/2.89
% 11.06/2.89 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.06/2.89
% 11.06/2.89
% 11.06/2.89 % ------
% 11.06/2.89 % Current options:
% 11.06/2.89 % ------
% 11.06/2.89
% 11.06/2.89
% 11.06/2.89 %
% 11.06/2.89
% 11.06/2.89 % ------ Proving...
% 11.06/2.89 %
% 11.06/2.89
% 11.06/2.89 % SZS status Theorem for theBenchmark.p
% 11.06/2.89
% 11.06/2.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.97/2.95
% 14.97/2.95
%------------------------------------------------------------------------------