%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT322+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:59:17 PM UTC 2026
% Result : Theorem 22.48s 9.23s
% Output : CNFRefutation 22.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 93
% Syntax : Number of formulae : 3921 ( 607 unt; 11 def)
% Number of atoms : 26478 (2837 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 18225 (7870 ~;9790 |; 478 &)
% ( 16 <=>; 69 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 53 ( 51 usr; 12 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 20 con; 0-3 aty)
% Number of variables : 2174 ( 1 sgn2123 !; 51 ?;1677 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v1_filter_2(X1,X0)
& X1 != k17_filter_2(X0) )
<=> r2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v1_filter_2(X1,X0)
& X1 != k17_filter_2(X0) )
<=> r2_filter_2(X0,X1) ) ) ),
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(f10,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_lattices) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f15,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(f16,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f17,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f18,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(f19,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(f20,axiom,
! [X0,X1] :
( ( m2_filter_2(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f21,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(f22,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(f23,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(f24,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f28,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(f29,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f31,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f32,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f33,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(f34,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(f37,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(f38,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(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,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f54,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k7_filter_2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_filter_2) ).
fof(f55,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
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(f61,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(f62,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(f64,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] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f67,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(f68,axiom,
? [X0] :
( v14_lattices(X0)
& v13_lattices(X0)
& v12_lattices(X0)
& v11_lattices(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',rc10_lattices) ).
fof(f69,axiom,
? [X0] :
( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(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',rc11_lattices) ).
fof(f70,axiom,
? [X0] :
( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(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',rc12_lattices) ).
fof(f71,axiom,
? [X0] :
( v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(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',rc13_lattices) ).
fof(f72,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f73,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(f74,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(f75,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f76,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(f77,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(f78,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f79,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(f80,axiom,
? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_lattices) ).
fof(f81,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f82,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(f83,axiom,
? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_lattices) ).
fof(f84,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(f85,axiom,
! [X0,X1] :
( ( m2_filter_2(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f86,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(f87,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(f88,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(f89,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f90,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f91,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(f92,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f93,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(f94,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_filter_2) ).
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] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( v2_filter_0(X1,X0)
& X1 != k1_filter_0(X0) )
<=> v1_filter_0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_0) ).
fof(f97,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(f98,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f99,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f100,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f101,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f89]) ).
fof(f102,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f93]) ).
fof(f111,plain,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f62]) ).
fof(f112,plain,
? [X0] :
( v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(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) ),
inference(pure_predicate_removal,[],[f68]) ).
fof(f114,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f79]) ).
fof(f116,plain,
? [X0] :
( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_filter_2(X1,X0)
& ( ( v1_filter_2(X1,X0)
& X1 != k17_filter_2(X0) )
<~> r2_filter_2(X0,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
? [X0] :
( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_filter_2(X1,X0)
& ( ( v1_filter_2(X1,X0)
& X1 != k17_filter_2(X0) )
<~> r2_filter_2(X0,X1) ) ) ),
inference(flattening,[],[f116]) ).
fof(f118,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(f119,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f121,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f129,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f130,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f129]) ).
fof(f135,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f136,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f135]) ).
fof(f139,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f140,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = u1_struct_0(X0) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f142,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1 ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f143,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1 ) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f145,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(flattening,[],[f144]) ).
fof(f146,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,[],[f19]) ).
fof(f147,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,[],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f149,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f151,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k1_filter_0(X0),X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f153,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k1_filter_0(X0),X0) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f155,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f157,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f158,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f160,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f161,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f162,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,[],[f33]) ).
fof(f163,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,[],[f162]) ).
fof(f164,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,[],[f34]) ).
fof(f165,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,[],[f164]) ).
fof(f166,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,[],[f37]) ).
fof(f167,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,[],[f166]) ).
fof(f168,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,[],[f38]) ).
fof(f169,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,[],[f168]) ).
fof(f170,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(f171,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(f172,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(f173,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f174,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_0(X1,X0) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f176,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m1_filter_2(X1,X0) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f178,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_filter_2(X1,X0) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f180,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] : m2_lattice4(X1,X0) ),
inference(flattening,[],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_filter_2(X0,X1)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f182,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_filter_2(X0,X1)) ),
inference(flattening,[],[f181]) ).
fof(f183,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f184,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f183]) ).
fof(f185,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f186,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f185]) ).
fof(f191,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,[],[f61]) ).
fof(f192,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,[],[f191]) ).
fof(f193,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f111]) ).
fof(f194,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f198,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f197]) ).
fof(f201,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f202,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f201]) ).
fof(f203,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,[],[f67]) ).
fof(f204,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,[],[f203]) ).
fof(f205,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f206,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f208,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,[],[f82]) ).
fof(f209,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,[],[f208]) ).
fof(f210,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f211,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_2(X0) = k1_filter_0(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f213,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_2(X0) = k1_filter_0(X0) ),
inference(flattening,[],[f212]) ).
fof(f214,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,[],[f87]) ).
fof(f215,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,[],[f214]) ).
fof(f216,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f90]) ).
fof(f217,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f218,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f217]) ).
fof(f219,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f220,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f219]) ).
fof(f221,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f102]) ).
fof(f222,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f223,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
inference(flattening,[],[f222]) ).
fof(f224,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(f225,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f224]) ).
fof(f226,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( v2_filter_0(X1,X0)
& X1 != k1_filter_0(X0) )
<=> v1_filter_0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f227,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( v2_filter_0(X1,X0)
& X1 != k1_filter_0(X0) )
<=> v1_filter_0(X1,X0) ) ) ),
inference(flattening,[],[f226]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f229,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f98]) ).
fof(f230,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f231,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f236,plain,
? [X0] :
( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_filter_2(X1,X0)
& ( ( v1_filter_2(X1,X0)
& X1 != k17_filter_2(X0) )
| r2_filter_2(X0,X1) )
& ( ~ v1_filter_2(X1,X0)
| k17_filter_2(X0) = X1
| ~ r2_filter_2(X0,X1) ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f237,plain,
? [X0] :
( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m2_filter_2(X1,X0)
& ( ( v1_filter_2(X1,X0)
& X1 != k17_filter_2(X0) )
| r2_filter_2(X0,X1) )
& ( ~ v1_filter_2(X1,X0)
| k17_filter_2(X0) = X1
| ~ r2_filter_2(X0,X1) ) ) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
( l3_lattices(sK2)
& v17_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2)
& m2_filter_2(sK3,sK2)
& ( ( v1_filter_2(sK3,sK2)
& sK3 != k17_filter_2(sK2) )
| r2_filter_2(sK2,sK3) )
& ( ~ v1_filter_2(sK3,sK2)
| sK3 = k17_filter_2(sK2)
| ~ r2_filter_2(sK2,sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f237]) ).
fof(f239,plain,
l1_lattices(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f43]) ).
fof(f240,plain,
l1_struct_0(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f44]) ).
fof(f241,plain,
l2_lattices(sK6),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f45]) ).
fof(f242,plain,
l3_lattices(sK7),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f46]) ).
fof(f243,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK8(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f174]) ).
fof(f244,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(sK9(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f176]) ).
fof(f245,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f49]) ).
fof(f246,plain,
! [X0] : m1_subset_1(sK11(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X1,sK11(X0))],[f50]) ).
fof(f247,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(sK12(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X1,sK12(X0))],[f178]) ).
fof(f248,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK13(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X1,sK13(X0))],[f180]) ).
fof(f249,plain,
! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0,X1))],[f53]) ).
fof(f252,plain,
( v14_lattices(sK15)
& v13_lattices(sK15)
& v11_lattices(sK15)
& v10_lattices(sK15)
& v9_lattices(sK15)
& v8_lattices(sK15)
& v7_lattices(sK15)
& v6_lattices(sK15)
& v5_lattices(sK15)
& v4_lattices(sK15)
& v3_lattices(sK15)
& ~ v3_struct_0(sK15)
& l3_lattices(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f112]) ).
fof(f253,plain,
( v15_lattices(sK16)
& v14_lattices(sK16)
& v13_lattices(sK16)
& v10_lattices(sK16)
& v9_lattices(sK16)
& v8_lattices(sK16)
& v7_lattices(sK16)
& v6_lattices(sK16)
& v5_lattices(sK16)
& v4_lattices(sK16)
& v3_lattices(sK16)
& ~ v3_struct_0(sK16)
& l3_lattices(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f69]) ).
fof(f254,plain,
( v16_lattices(sK17)
& v15_lattices(sK17)
& v14_lattices(sK17)
& v13_lattices(sK17)
& v10_lattices(sK17)
& v9_lattices(sK17)
& v8_lattices(sK17)
& v7_lattices(sK17)
& v6_lattices(sK17)
& v5_lattices(sK17)
& v4_lattices(sK17)
& v3_lattices(sK17)
& ~ v3_struct_0(sK17)
& l3_lattices(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f70]) ).
fof(f255,plain,
( v17_lattices(sK18)
& v16_lattices(sK18)
& v15_lattices(sK18)
& v14_lattices(sK18)
& v13_lattices(sK18)
& v11_lattices(sK18)
& v10_lattices(sK18)
& v9_lattices(sK18)
& v8_lattices(sK18)
& v7_lattices(sK18)
& v6_lattices(sK18)
& v5_lattices(sK18)
& v4_lattices(sK18)
& v3_lattices(sK18)
& ~ v3_struct_0(sK18)
& l3_lattices(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f71]) ).
fof(f256,plain,
( v1_funct_1(sK19)
& v1_relat_1(sK19) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f72]) ).
fof(f257,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))],[f206]) ).
fof(f258,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ~ v1_xboole_0(sK21(X0))
& m1_subset_1(sK21(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X1,sK21(X0))],[f207]) ).
fof(f259,plain,
v1_xboole_0(sK22),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X0,sK22)],[f75]) ).
fof(f260,plain,
( v1_funct_1(sK23)
& v1_xboole_0(sK23)
& v1_relat_1(sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X0,sK23)],[f76]) ).
fof(f261,plain,
! [X0] :
( v1_xboole_0(sK24(X0))
& m1_subset_1(sK24(X0),k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X1,sK24(X0))],[f77]) ).
fof(f262,plain,
~ v1_xboole_0(sK25),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X0,sK25)],[f78]) ).
fof(f263,plain,
( v1_funct_1(sK26)
& v1_relat_1(sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X0,sK26)],[f114]) ).
fof(f264,plain,
( v3_lattices(sK27)
& l3_lattices(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X0,sK27)],[f80]) ).
fof(f265,plain,
( ~ v3_struct_0(sK28)
& l1_struct_0(sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X0,sK28)],[f81]) ).
fof(f266,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK29(X0))
& m1_subset_1(sK29(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X1,sK29(X0))],[f209]) ).
fof(f267,plain,
( v3_lattices(sK30)
& ~ v3_struct_0(sK30)
& l3_lattices(sK30) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X0,sK30)],[f83]) ).
fof(f268,plain,
( v10_lattices(sK31)
& v9_lattices(sK31)
& v8_lattices(sK31)
& v7_lattices(sK31)
& v6_lattices(sK31)
& v5_lattices(sK31)
& v4_lattices(sK31)
& v3_lattices(sK31)
& ~ v3_struct_0(sK31)
& l3_lattices(sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X0,sK31)],[f84]) ).
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,[],[f215]) ).
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,[],[f88]) ).
fof(f271,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( ( ~ r2_filter_2(X0,X1)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f220]) ).
fof(f272,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_filter_2(X1,X0)
| ( ( ~ v1_filter_2(X1,X0)
| v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| v1_filter_2(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f273,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v2_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| v1_filter_0(X1,X0) )
& ( ~ v1_filter_0(X1,X0)
| ( v2_filter_0(X1,X0)
& X1 != k1_filter_0(X0) ) ) ) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f274,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_filter_0(X1,X0)
| ( ( ~ v2_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| v1_filter_0(X1,X0) )
& ( ~ v1_filter_0(X1,X0)
| ( v2_filter_0(X1,X0)
& X1 != k1_filter_0(X0) ) ) ) ) ),
inference(flattening,[],[f273]) ).
fof(f275,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f276,plain,
v17_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f277,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f278,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f279,plain,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f280,plain,
( v1_filter_2(sK3,sK2)
| r2_filter_2(sK2,sK3) ),
inference(cnf_transformation,[],[f238]) ).
fof(f281,plain,
( sK3 != k17_filter_2(sK2)
| r2_filter_2(sK2,sK3) ),
inference(cnf_transformation,[],[f238]) ).
fof(f282,plain,
( ~ v1_filter_2(sK3,sK2)
| sK3 = k17_filter_2(sK2)
| ~ r2_filter_2(sK2,sK3) ),
inference(cnf_transformation,[],[f238]) ).
fof(f283,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f119]) ).
fof(f284,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f285,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f298,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f309,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| v17_lattices(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f319,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f320,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f321,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f322,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f323,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,[],[f147]) ).
fof(f324,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,[],[f147]) ).
fof(f325,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f326,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f327,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(k1_filter_0(X0),X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f328,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f329,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f330,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f331,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(cnf_transformation,[],[f158]) ).
fof(f332,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f333,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f334,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f335,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f336,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,[],[f163]) ).
fof(f337,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,[],[f163]) ).
fof(f338,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,[],[f165]) ).
fof(f339,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,[],[f165]) ).
fof(f340,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,[],[f167]) ).
fof(f341,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,[],[f167]) ).
fof(f342,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,[],[f169]) ).
fof(f343,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,[],[f170]) ).
fof(f344,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,[],[f171]) ).
fof(f345,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,[],[f171]) ).
fof(f346,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f347,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,[],[f172]) ).
fof(f348,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,[],[f172]) ).
fof(f349,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f350,plain,
l1_lattices(sK4),
inference(cnf_transformation,[],[f239]) ).
fof(f351,plain,
l1_struct_0(sK5),
inference(cnf_transformation,[],[f240]) ).
fof(f352,plain,
l2_lattices(sK6),
inference(cnf_transformation,[],[f241]) ).
fof(f353,plain,
l3_lattices(sK7),
inference(cnf_transformation,[],[f242]) ).
fof(f354,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(sK8(X0),X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f355,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(sK9(X0),X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f356,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f245]) ).
fof(f357,plain,
! [X0] : m1_subset_1(sK11(X0),X0),
inference(cnf_transformation,[],[f246]) ).
fof(f358,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(sK12(X0),X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f359,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK13(X0),X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f360,plain,
! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f249]) ).
fof(f361,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k7_filter_2(X0,X1)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f363,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f364,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f365,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f57]) ).
fof(f366,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f374,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,[],[f192]) ).
fof(f390,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f394,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f407,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f408,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,[],[f204]) ).
fof(f409,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,[],[f204]) ).
fof(f410,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,[],[f204]) ).
fof(f411,plain,
v14_lattices(sK15),
inference(cnf_transformation,[],[f252]) ).
fof(f412,plain,
v13_lattices(sK15),
inference(cnf_transformation,[],[f252]) ).
fof(f413,plain,
v11_lattices(sK15),
inference(cnf_transformation,[],[f252]) ).
fof(f414,plain,
v10_lattices(sK15),
inference(cnf_transformation,[],[f252]) ).
fof(f421,plain,
v3_lattices(sK15),
inference(cnf_transformation,[],[f252]) ).
fof(f422,plain,
~ v3_struct_0(sK15),
inference(cnf_transformation,[],[f252]) ).
fof(f423,plain,
l3_lattices(sK15),
inference(cnf_transformation,[],[f252]) ).
fof(f427,plain,
v10_lattices(sK16),
inference(cnf_transformation,[],[f253]) ).
fof(f434,plain,
v3_lattices(sK16),
inference(cnf_transformation,[],[f253]) ).
fof(f435,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f253]) ).
fof(f436,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f253]) ).
fof(f437,plain,
v16_lattices(sK17),
inference(cnf_transformation,[],[f254]) ).
fof(f441,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f254]) ).
fof(f448,plain,
v3_lattices(sK17),
inference(cnf_transformation,[],[f254]) ).
fof(f449,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f254]) ).
fof(f450,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f254]) ).
fof(f451,plain,
v17_lattices(sK18),
inference(cnf_transformation,[],[f255]) ).
fof(f452,plain,
v16_lattices(sK18),
inference(cnf_transformation,[],[f255]) ).
fof(f457,plain,
v10_lattices(sK18),
inference(cnf_transformation,[],[f255]) ).
fof(f464,plain,
v3_lattices(sK18),
inference(cnf_transformation,[],[f255]) ).
fof(f465,plain,
~ v3_struct_0(sK18),
inference(cnf_transformation,[],[f255]) ).
fof(f466,plain,
l3_lattices(sK18),
inference(cnf_transformation,[],[f255]) ).
fof(f467,plain,
v1_funct_1(sK19),
inference(cnf_transformation,[],[f256]) ).
fof(f469,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK20(X0)) ),
inference(cnf_transformation,[],[f257]) ).
fof(f470,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK20(X0),X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f471,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK21(X0)) ),
inference(cnf_transformation,[],[f258]) ).
fof(f472,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK21(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f258]) ).
fof(f473,plain,
v1_xboole_0(sK22),
inference(cnf_transformation,[],[f259]) ).
fof(f474,plain,
v1_funct_1(sK23),
inference(cnf_transformation,[],[f260]) ).
fof(f475,plain,
v1_xboole_0(sK23),
inference(cnf_transformation,[],[f260]) ).
fof(f477,plain,
! [X0] : v1_xboole_0(sK24(X0)),
inference(cnf_transformation,[],[f261]) ).
fof(f478,plain,
! [X0] : m1_subset_1(sK24(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f261]) ).
fof(f479,plain,
~ v1_xboole_0(sK25),
inference(cnf_transformation,[],[f262]) ).
fof(f480,plain,
v1_funct_1(sK26),
inference(cnf_transformation,[],[f263]) ).
fof(f482,plain,
v3_lattices(sK27),
inference(cnf_transformation,[],[f264]) ).
fof(f483,plain,
l3_lattices(sK27),
inference(cnf_transformation,[],[f264]) ).
fof(f484,plain,
~ v3_struct_0(sK28),
inference(cnf_transformation,[],[f265]) ).
fof(f485,plain,
l1_struct_0(sK28),
inference(cnf_transformation,[],[f265]) ).
fof(f486,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK29(X0)) ),
inference(cnf_transformation,[],[f266]) ).
fof(f487,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(sK29(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f266]) ).
fof(f488,plain,
v3_lattices(sK30),
inference(cnf_transformation,[],[f267]) ).
fof(f489,plain,
~ v3_struct_0(sK30),
inference(cnf_transformation,[],[f267]) ).
fof(f490,plain,
l3_lattices(sK30),
inference(cnf_transformation,[],[f267]) ).
fof(f491,plain,
v10_lattices(sK31),
inference(cnf_transformation,[],[f268]) ).
fof(f498,plain,
v3_lattices(sK31),
inference(cnf_transformation,[],[f268]) ).
fof(f499,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f268]) ).
fof(f500,plain,
l3_lattices(sK31),
inference(cnf_transformation,[],[f268]) ).
fof(f501,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f502,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = k1_filter_2(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f503,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(f505,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f506,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f507,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f101]) ).
fof(f508,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f509,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f510,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ r2_filter_2(X0,X1)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f271]) ).
fof(f511,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f512,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f513,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ v1_filter_2(X1,X0)
| v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f272]) ).
fof(f514,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| v1_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f515,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f225]) ).
fof(f516,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v2_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| v1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f517,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| v2_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f518,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| k1_filter_0(X0) != X1 ),
inference(cnf_transformation,[],[f274]) ).
fof(f519,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f520,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f229]) ).
fof(f521,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f522,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f523,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(k1_filter_0(X0),X0)
| ~ v1_filter_0(k1_filter_0(X0),X0) ),
inference(equality_resolution,[],[f518]) ).
tcf(c_49,negated_conjecture,
( ( k17_filter_2(sK2) = sK3 )
| ~ v1_filter_2(sK3,sK2)
| ~ r2_filter_2(sK2,sK3) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_50,negated_conjecture,
( r2_filter_2(sK2,sK3)
| ( k17_filter_2(sK2) != sK3 ) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_51,negated_conjecture,
( v1_filter_2(sK3,sK2)
| r2_filter_2(sK2,sK3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_52,negated_conjecture,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f279]) ).
tcf(c_53,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f278]) ).
tcf(c_54,negated_conjecture,
v10_lattices(sK2),
inference(cnf_transformation,[],[f277]) ).
tcf(c_55,negated_conjecture,
v17_lattices(sK2),
inference(cnf_transformation,[],[f276]) ).
tcf(c_56,negated_conjecture,
l3_lattices(sK2),
inference(cnf_transformation,[],[f275]) ).
tcf(c_57,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,[],[f283]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_59,plain,
! [X0: $i] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_68,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_76,plain,
! [X0: $i] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f309]) ).
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,[],[f319]) ).
tcf(c_84,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k7_filter_2(X1,X0) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_86,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k17_filter_2(X0) = u1_struct_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_87,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,[],[f324]) ).
tcf(c_88,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,[],[f323]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_2(k15_filter_2(X1,X0),k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_90,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_91,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_92,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_93,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_94,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_96,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_97,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_98,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_99,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_100,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,[],[f337]) ).
tcf(c_101,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,[],[f336]) ).
tcf(c_102,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,[],[f339]) ).
tcf(c_103,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,[],[f338]) ).
tcf(c_104,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,[],[f341]) ).
tcf(c_105,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,[],[f340]) ).
tcf(c_106,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,[],[f342]) ).
tcf(c_107,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,[],[f343]) ).
tcf(c_108,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_109,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,[],[f345]) ).
tcf(c_110,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,[],[f344]) ).
tcf(c_111,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_112,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,[],[f348]) ).
tcf(c_113,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,[],[f347]) ).
tcf(c_114,plain,
l1_lattices(sK4),
inference(cnf_transformation,[],[f350]) ).
tcf(c_115,plain,
l1_struct_0(sK5),
inference(cnf_transformation,[],[f351]) ).
tcf(c_116,plain,
l2_lattices(sK6),
inference(cnf_transformation,[],[f352]) ).
tcf(c_117,plain,
l3_lattices(sK7),
inference(cnf_transformation,[],[f353]) ).
tcf(c_118,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_0(sK8(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_119,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(sK9(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f355]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f356]) ).
tcf(c_121,plain,
! [X0: $i] : m1_subset_1(sK11(X0),X0),
inference(cnf_transformation,[],[f357]) ).
tcf(c_122,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_filter_2(sK12(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_123,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK13(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f360]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(k7_filter_2(X1,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_126,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_128,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_129,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f365]) ).
tcf(c_130,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f366]) ).
tcf(c_137,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,[],[f374]) ).
tcf(c_154,plain,
! [X0: $i] :
( sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_171,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_172,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,[],[f410]) ).
tcf(c_173,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,[],[f409]) ).
tcf(c_174,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,[],[f408]) ).
tcf(c_175,plain,
l3_lattices(sK15),
inference(cnf_transformation,[],[f423]) ).
tcf(c_176,plain,
~ v3_struct_0(sK15),
inference(cnf_transformation,[],[f422]) ).
tcf(c_177,plain,
v3_lattices(sK15),
inference(cnf_transformation,[],[f421]) ).
tcf(c_184,plain,
v10_lattices(sK15),
inference(cnf_transformation,[],[f414]) ).
tcf(c_185,plain,
v11_lattices(sK15),
inference(cnf_transformation,[],[f413]) ).
tcf(c_186,plain,
v13_lattices(sK15),
inference(cnf_transformation,[],[f412]) ).
tcf(c_187,plain,
v14_lattices(sK15),
inference(cnf_transformation,[],[f411]) ).
tcf(c_188,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f436]) ).
tcf(c_189,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f435]) ).
tcf(c_190,plain,
v3_lattices(sK16),
inference(cnf_transformation,[],[f434]) ).
tcf(c_197,plain,
v10_lattices(sK16),
inference(cnf_transformation,[],[f427]) ).
tcf(c_201,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f450]) ).
tcf(c_202,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f449]) ).
tcf(c_203,plain,
v3_lattices(sK17),
inference(cnf_transformation,[],[f448]) ).
tcf(c_210,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f441]) ).
tcf(c_214,plain,
v16_lattices(sK17),
inference(cnf_transformation,[],[f437]) ).
tcf(c_215,plain,
l3_lattices(sK18),
inference(cnf_transformation,[],[f466]) ).
tcf(c_216,plain,
~ v3_struct_0(sK18),
inference(cnf_transformation,[],[f465]) ).
tcf(c_217,plain,
v3_lattices(sK18),
inference(cnf_transformation,[],[f464]) ).
tcf(c_224,plain,
v10_lattices(sK18),
inference(cnf_transformation,[],[f457]) ).
tcf(c_229,plain,
v16_lattices(sK18),
inference(cnf_transformation,[],[f452]) ).
tcf(c_230,plain,
v17_lattices(sK18),
inference(cnf_transformation,[],[f451]) ).
tcf(c_232,plain,
v1_funct_1(sK19),
inference(cnf_transformation,[],[f467]) ).
tcf(c_233,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_lattice4(sK20(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_234,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK20(X0)) ),
inference(cnf_transformation,[],[f469]) ).
tcf(c_235,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK21(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_236,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK21(X0)) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_237,plain,
v1_xboole_0(sK22),
inference(cnf_transformation,[],[f473]) ).
tcf(c_239,plain,
v1_xboole_0(sK23),
inference(cnf_transformation,[],[f475]) ).
tcf(c_240,plain,
v1_funct_1(sK23),
inference(cnf_transformation,[],[f474]) ).
tcf(c_241,plain,
! [X0: $i] : m1_subset_1(sK24(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f478]) ).
tcf(c_242,plain,
! [X0: $i] : v1_xboole_0(sK24(X0)),
inference(cnf_transformation,[],[f477]) ).
tcf(c_243,plain,
~ v1_xboole_0(sK25),
inference(cnf_transformation,[],[f479]) ).
tcf(c_245,plain,
v1_funct_1(sK26),
inference(cnf_transformation,[],[f480]) ).
tcf(c_246,plain,
l3_lattices(sK27),
inference(cnf_transformation,[],[f483]) ).
tcf(c_247,plain,
v3_lattices(sK27),
inference(cnf_transformation,[],[f482]) ).
tcf(c_248,plain,
l1_struct_0(sK28),
inference(cnf_transformation,[],[f485]) ).
tcf(c_249,plain,
~ v3_struct_0(sK28),
inference(cnf_transformation,[],[f484]) ).
tcf(c_250,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK29(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_251,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK29(X0)) ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_252,plain,
l3_lattices(sK30),
inference(cnf_transformation,[],[f490]) ).
tcf(c_253,plain,
~ v3_struct_0(sK30),
inference(cnf_transformation,[],[f489]) ).
tcf(c_254,plain,
v3_lattices(sK30),
inference(cnf_transformation,[],[f488]) ).
tcf(c_255,plain,
l3_lattices(sK31),
inference(cnf_transformation,[],[f500]) ).
tcf(c_256,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f499]) ).
tcf(c_257,plain,
v3_lattices(sK31),
inference(cnf_transformation,[],[f498]) ).
tcf(c_264,plain,
v10_lattices(sK31),
inference(cnf_transformation,[],[f491]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k7_filter_2(X1,X0) = k15_filter_2(X1,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_266,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k1_filter_0(X0) = k1_filter_2(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_268,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,[],[f503]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f506]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_271,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f507]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f508]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| r2_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f511]) ).
tcf(c_275,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ r2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f510]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f512]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v2_filter_0(k15_filter_2(X1,X0),k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1)
| ~ v1_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_279,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,[],[f515]) ).
tcf(c_280,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(k1_filter_0(X0),X0)
| ~ m1_filter_0(k1_filter_0(X0),X0) ),
inference(cnf_transformation,[],[f523]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v2_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f517]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_filter_0(X0,X1)
| ( k1_filter_0(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ v2_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_283,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,[],[f519]) ).
tcf(c_284,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f522]) ).
tcf(c_360,plain,
( sP0(sK18)
| v3_struct_0(sK18)
| ~ l3_lattices(sK18)
| ~ v17_lattices(sK18)
| ~ v10_lattices(sK18) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_425,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_filter_0(k1_filter_0(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_280,c_91,c_280]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_269]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_430]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_270]) ).
tcf(c_434,plain,
( v1_filter_2(sK3,sK2)
| r2_filter_2(sK2,sK3) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
tcf(c_436,plain,
( ( k17_filter_2(sK2) != sK3 )
| r2_filter_2(sK2,sK3) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
tcf(c_437,plain,
( r2_filter_2(sK2,sK3)
| ( k17_filter_2(sK2) != sK3 ) ),
inference(renaming,[status(thm)],[c_436]) ).
tcf(c_448,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
tcf(c_450,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m2_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_107]) ).
tcf(c_471,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(renaming,[status(thm)],[c_470]) ).
tcf(c_474,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_96]) ).
tcf(c_476,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_108]) ).
tcf(c_478,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_109]) ).
tcf(c_480,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_110]) ).
tcf(c_484,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_97]) ).
tcf(c_486,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_111]) ).
tcf(c_488,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_112]) ).
tcf(c_490,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_113]) ).
tcf(c_558,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_276]) ).
tcf(c_2897,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ( X0 != X2 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_271,c_558]) ).
tcf(c_2898,plain,
! [X0: $i] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(unflattening,[status(thm)],[c_2897]) ).
tcf(c_2904,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_448,c_480]) ).
tcf(c_2905,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_2904]) ).
tcf(c_2913,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_448,c_478]) ).
tcf(c_2914,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_2913]) ).
tcf(c_2922,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_448,c_476]) ).
tcf(c_2923,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2922]) ).
tcf(c_2931,plain,
! [X0: $i,X1: $i] :
( l1_struct_0(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_448,c_474]) ).
tcf(c_2932,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2931]) ).
tcf(c_2940,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 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_480,c_114]) ).
tcf(c_2941,plain,
m2_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)),
inference(unflattening,[status(thm)],[c_2940]) ).
tcf(c_2945,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 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_478,c_114]) ).
tcf(c_2946,plain,
v1_funct_2(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)),
inference(unflattening,[status(thm)],[c_2945]) ).
tcf(c_2950,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_476,c_114]) ).
tcf(c_2951,plain,
v1_funct_1(u1_lattices(sK4)),
inference(unflattening,[status(thm)],[c_2950]) ).
tcf(c_2955,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_474,c_114]) ).
tcf(c_2956,plain,
l1_struct_0(sK4),
inference(unflattening,[status(thm)],[c_2955]) ).
tcf(c_2972,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_450,c_490]) ).
tcf(c_2973,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_2972]) ).
tcf(c_2981,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_450,c_488]) ).
tcf(c_2982,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_2981]) ).
tcf(c_2990,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_450,c_486]) ).
tcf(c_2991,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2990]) ).
tcf(c_3001,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 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_490,c_116]) ).
tcf(c_3002,plain,
m2_relset_1(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)),
inference(unflattening,[status(thm)],[c_3001]) ).
tcf(c_3006,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 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_488,c_116]) ).
tcf(c_3007,plain,
v1_funct_2(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)),
inference(unflattening,[status(thm)],[c_3006]) ).
tcf(c_3011,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_486,c_116]) ).
tcf(c_3012,plain,
v1_funct_1(u2_lattices(sK6)),
inference(unflattening,[status(thm)],[c_3011]) ).
tcf(c_3016,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_484,c_116]) ).
tcf(c_3017,plain,
l1_struct_0(sK6),
inference(unflattening,[status(thm)],[c_3016]) ).
tcf(c_3033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_relset_1(X0,X2,X4)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_431,c_471]) ).
tcf(c_3034,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(unflattening,[status(thm)],[c_3033]) ).
tcf(c_3042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ~ l3_lattices(X0)
| ( u1_lattices(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_432,c_2905]) ).
tcf(c_3043,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(unflattening,[status(thm)],[c_3042]) ).
tcf(c_3051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ l3_lattices(X0)
| ( u1_lattices(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_471,c_2905]) ).
tcf(c_3052,plain,
! [X0: $i] :
( m1_subset_1(u1_lattices(X0),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3051]) ).
tcf(c_3060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ~ l3_lattices(X0)
| ( u2_lattices(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_432,c_2973]) ).
tcf(c_3061,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(unflattening,[status(thm)],[c_3060]) ).
tcf(c_3069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ l3_lattices(X0)
| ( u2_lattices(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_471,c_2973]) ).
tcf(c_3070,plain,
! [X0: $i] :
( m1_subset_1(u2_lattices(X0),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3069]) ).
tcf(c_3078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_relset_1(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK14(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_432,c_124]) ).
tcf(c_3079,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(unflattening,[status(thm)],[c_3078]) ).
tcf(c_3084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK14(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_471,c_124]) ).
tcf(c_3085,plain,
! [X0: $i,X1: $i] : m1_subset_1(sK14(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(unflattening,[status(thm)],[c_3084]) ).
tcf(c_3090,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ( u1_lattices(sK4) != X0 )
| ( u1_struct_0(sK4) != X2 )
| ( k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_432,c_2941]) ).
tcf(c_3091,plain,
m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)),
inference(unflattening,[status(thm)],[c_3090]) ).
tcf(c_3095,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ( u1_lattices(sK4) != X0 )
| ( u1_struct_0(sK4) != X2 )
| ( k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_471,c_2941]) ).
tcf(c_3096,plain,
m1_subset_1(u1_lattices(sK4),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)))),
inference(unflattening,[status(thm)],[c_3095]) ).
tcf(c_3100,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ( u2_lattices(sK6) != X0 )
| ( u1_struct_0(sK6) != X2 )
| ( k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_432,c_3002]) ).
tcf(c_3101,plain,
m1_relset_1(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)),
inference(unflattening,[status(thm)],[c_3100]) ).
tcf(c_3105,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ( u2_lattices(sK6) != X0 )
| ( u1_struct_0(sK6) != X2 )
| ( k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_471,c_3002]) ).
tcf(c_3106,plain,
m1_subset_1(u2_lattices(sK6),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)))),
inference(unflattening,[status(thm)],[c_3105]) ).
tcf(c_3132,plain,
! [X0: $i] :
( v17_lattices(X0)
| v3_struct_0(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ l3_lattices(X0)
| ( X0 != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_185]) ).
tcf(c_3133,plain,
( v17_lattices(sK15)
| v3_struct_0(sK15)
| ~ v16_lattices(sK15)
| ~ v15_lattices(sK15)
| ~ l3_lattices(sK15) ),
inference(unflattening,[status(thm)],[c_3132]) ).
tcf(c_3134,plain,
( v17_lattices(sK15)
| ~ v15_lattices(sK15)
| ~ v16_lattices(sK15) ),
inference(global_subsumption_just,[status(thm)],[c_3133,c_175,c_176,c_3133]) ).
tcf(c_3135,plain,
( v17_lattices(sK15)
| ~ v16_lattices(sK15)
| ~ v15_lattices(sK15) ),
inference(renaming,[status(thm)],[c_3134]) ).
tcf(c_3166,plain,
( v17_lattices(sK15)
| ~ v15_lattices(sK15)
| ( sK15 != sK17 ) ),
inference(resolution_lifted,[status(thm)],[c_214,c_3135]) ).
tcf(c_3176,plain,
( v17_lattices(sK15)
| ~ v15_lattices(sK15)
| ( sK15 != sK18 ) ),
inference(resolution_lifted,[status(thm)],[c_229,c_3135]) ).
tcf(c_3197,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k17_filter_2(sK2) = sK3 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ r2_filter_2(sK2,sK3)
| ~ m2_filter_2(X1,X0)
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_277]) ).
tcf(c_3198,plain,
( v3_struct_0(sK2)
| ( k17_filter_2(sK2) = sK3 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ~ r2_filter_2(sK2,sK3)
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_3197]) ).
tcf(c_3199,plain,
( ~ r2_filter_2(sK2,sK3)
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 ) ),
inference(global_subsumption_just,[status(thm)],[c_3198,c_56,c_54,c_53,c_52,c_3198]) ).
tcf(c_3200,plain,
( ( k17_filter_2(sK2) = sK3 )
| ~ r2_filter_2(sK2,sK3)
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(renaming,[status(thm)],[c_3199]) ).
tcf(c_3210,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| r2_filter_2(sK2,sK3)
| v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_434,c_278]) ).
tcf(c_3211,plain,
( v3_struct_0(sK2)
| r2_filter_2(sK2,sK3)
| v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m2_filter_2(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_3210]) ).
tcf(c_3212,plain,
( v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| r2_filter_2(sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_3211,c_56,c_54,c_53,c_52,c_3211]) ).
tcf(c_3213,plain,
( r2_filter_2(sK2,sK3)
| v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(renaming,[status(thm)],[c_3212]) ).
tcf(c_3227,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)
| ~ m2_filter_2(X0,X2)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_105,c_106]) ).
tcf(c_3228,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_filter_2(X0,X1) ),
inference(unflattening,[status(thm)],[c_3227]) ).
tcf(c_3245,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_103,c_106]) ).
tcf(c_3246,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_3245]) ).
tcf(c_3263,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 )
| ( sK13(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_106,c_123]) ).
tcf(c_3264,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3263]) ).
tcf(c_3278,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 )
| ( sK20(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_106,c_233]) ).
tcf(c_3279,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK20(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3278]) ).
tcf(c_3448,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k17_filter_2(sK2) = sK3 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_filter_2(sK2,sK3)
| ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1)
| ( k1_lattice2(sK2) != X1 )
| ( k15_filter_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_281,c_3200]) ).
tcf(c_3449,plain,
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ r2_filter_2(sK2,sK3)
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_3448]) ).
tcf(c_3474,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_filter_2(sK2,sK3)
| v1_filter_0(X0,X1)
| ( k1_filter_0(X1) = X0 )
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X0,X1)
| ( k1_lattice2(sK2) != X1 )
| ( k15_filter_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_282,c_3213]) ).
tcf(c_3475,plain,
( v3_struct_0(k1_lattice2(sK2))
| r2_filter_2(sK2,sK3)
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_3474]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(sK29(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_2932,c_251]) ).
tcf(c_3517,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(sK29(X0)) ),
inference(unflattening,[status(thm)],[c_3516]) ).
tcf(c_3528,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK29(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_2932,c_250]) ).
tcf(c_3529,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK29(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3528]) ).
tcf(c_3540,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_2932,c_128]) ).
tcf(c_3541,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_3540]) ).
tcf(c_3552,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK29(X0))
| ( X0 != sK5 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_115]) ).
tcf(c_3553,plain,
( v3_struct_0(sK5)
| ~ v1_xboole_0(sK29(sK5)) ),
inference(unflattening,[status(thm)],[c_3552]) ).
tcf(c_3560,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK29(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK5 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_115]) ).
tcf(c_3561,plain,
( v3_struct_0(sK5)
| m1_subset_1(sK29(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(unflattening,[status(thm)],[c_3560]) ).
tcf(c_3568,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK5 ) ),
inference(resolution_lifted,[status(thm)],[c_128,c_115]) ).
tcf(c_3569,plain,
( v3_struct_0(sK5)
| ~ v1_xboole_0(u1_struct_0(sK5)) ),
inference(unflattening,[status(thm)],[c_3568]) ).
tcf(c_3576,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK29(X0))
| ( X0 != sK28 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_248]) ).
tcf(c_3577,plain,
( v3_struct_0(sK28)
| ~ v1_xboole_0(sK29(sK28)) ),
inference(unflattening,[status(thm)],[c_3576]) ).
tcf(c_3578,plain,
~ v1_xboole_0(sK29(sK28)),
inference(global_subsumption_just,[status(thm)],[c_3577,c_249,c_3577]) ).
tcf(c_3583,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK29(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK28 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_248]) ).
tcf(c_3584,plain,
( v3_struct_0(sK28)
| m1_subset_1(sK29(sK28),k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(unflattening,[status(thm)],[c_3583]) ).
tcf(c_3585,plain,
m1_subset_1(sK29(sK28),k1_zfmisc_1(u1_struct_0(sK28))),
inference(global_subsumption_just,[status(thm)],[c_3584,c_249,c_3584]) ).
tcf(c_3590,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK28 ) ),
inference(resolution_lifted,[status(thm)],[c_128,c_248]) ).
tcf(c_3591,plain,
( v3_struct_0(sK28)
| ~ v1_xboole_0(u1_struct_0(sK28)) ),
inference(unflattening,[status(thm)],[c_3590]) ).
tcf(c_3592,plain,
~ v1_xboole_0(u1_struct_0(sK28)),
inference(global_subsumption_just,[status(thm)],[c_3591,c_249,c_3591]) ).
tcf(c_3597,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK29(X0))
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_2956]) ).
tcf(c_3598,plain,
( v3_struct_0(sK4)
| ~ v1_xboole_0(sK29(sK4)) ),
inference(unflattening,[status(thm)],[c_3597]) ).
tcf(c_3605,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK29(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_2956]) ).
tcf(c_3606,plain,
( v3_struct_0(sK4)
| m1_subset_1(sK29(sK4),k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(unflattening,[status(thm)],[c_3605]) ).
tcf(c_3613,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK4 ) ),
inference(resolution_lifted,[status(thm)],[c_128,c_2956]) ).
tcf(c_3614,plain,
( v3_struct_0(sK4)
| ~ v1_xboole_0(u1_struct_0(sK4)) ),
inference(unflattening,[status(thm)],[c_3613]) ).
tcf(c_3621,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK29(X0))
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_3017]) ).
tcf(c_3622,plain,
( v3_struct_0(sK6)
| ~ v1_xboole_0(sK29(sK6)) ),
inference(unflattening,[status(thm)],[c_3621]) ).
tcf(c_3629,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK29(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_3017]) ).
tcf(c_3630,plain,
( v3_struct_0(sK6)
| m1_subset_1(sK29(sK6),k1_zfmisc_1(u1_struct_0(sK6))) ),
inference(unflattening,[status(thm)],[c_3629]) ).
tcf(c_3637,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK6 ) ),
inference(resolution_lifted,[status(thm)],[c_128,c_3017]) ).
tcf(c_3638,plain,
( v3_struct_0(sK6)
| ~ v1_xboole_0(u1_struct_0(sK6)) ),
inference(unflattening,[status(thm)],[c_3637]) ).
tcf(c_3685,plain,
! [X0: $i] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ( X0 != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_68,c_186]) ).
tcf(c_3686,plain,
( v15_lattices(sK15)
| v3_struct_0(sK15)
| ~ v14_lattices(sK15)
| ~ l3_lattices(sK15) ),
inference(unflattening,[status(thm)],[c_3685]) ).
tcf(c_3687,plain,
v15_lattices(sK15),
inference(global_subsumption_just,[status(thm)],[c_3686,c_187,c_175,c_176,c_3686]) ).
tcf(c_3699,plain,
( v17_lattices(sK15)
| ( sK15 != sK18 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3176,c_3687]) ).
tcf(c_3701,plain,
( v17_lattices(sK15)
| ( sK15 != sK17 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3166,c_3687]) ).
tcf(c_4051,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(sK2))
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ m2_filter_2(X1,X0)
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_3475,c_275]) ).
tcf(c_4052,plain,
( v3_struct_0(sK2)
| v3_struct_0(k1_lattice2(sK2))
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_4051]) ).
tcf(c_4053,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4052,c_56,c_54,c_53,c_52,c_4052]) ).
tcf(c_4054,plain,
( v3_struct_0(k1_lattice2(sK2))
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(renaming,[status(thm)],[c_4053]) ).
tcf(c_4076,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ( X1 != sK3 )
| ( X0 != sK2 )
| ( k17_filter_2(sK2) != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_437,c_275]) ).
tcf(c_4077,plain,
( v3_struct_0(sK2)
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ( k17_filter_2(sK2) != sK3 ) ),
inference(unflattening,[status(thm)],[c_4076]) ).
tcf(c_4078,plain,
( ( k17_filter_2(sK2) != sK3 )
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4077,c_56,c_54,c_53,c_52,c_4077]) ).
tcf(c_4079,plain,
( v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ( k17_filter_2(sK2) != sK3 ) ),
inference(renaming,[status(thm)],[c_4078]) ).
tcf(c_4086,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ m2_filter_2(X1,X0)
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_3449,c_274]) ).
tcf(c_4087,plain,
( v3_struct_0(sK2)
| v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_4086]) ).
tcf(c_4088,plain,
( ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| v3_struct_0(k1_lattice2(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4087,c_56,c_54,c_53,c_52,c_4087]) ).
tcf(c_4089,plain,
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(renaming,[status(thm)],[c_4088]) ).
tcf(c_4128,plain,
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(resolution,[status(thm)],[c_4054,c_4089]) ).
tcf(c_4150,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| ( k1_lattice2(sK2) != X0 )
| ( k17_filter_2(sK2) != sK3 )
| ( k15_filter_2(sK2,sK3) != k1_filter_0(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_425,c_4079]) ).
tcf(c_4151,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k17_filter_2(sK2) != sK3 )
| ( k15_filter_2(sK2,sK3) != k1_filter_0(k1_lattice2(sK2)) ) ),
inference(unflattening,[status(thm)],[c_4150]) ).
tcf(c_4430,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_3228]) ).
tcf(c_4431,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(unflattening,[status(thm)],[c_4430]) ).
tcf(c_4432,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_4431,c_56,c_54,c_53,c_4431]) ).
tcf(c_4437,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,X1) = k15_filter_2(X0,X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_265]) ).
tcf(c_4438,plain,
( v3_struct_0(sK2)
| ( k7_filter_2(sK2,sK3) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(unflattening,[status(thm)],[c_4437]) ).
tcf(c_4439,plain,
k7_filter_2(sK2,sK3) = k15_filter_2(sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_4438,c_56,c_54,c_53,c_4438]) ).
tcf(c_4444,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_104]) ).
tcf(c_4445,plain,
( v3_struct_0(sK2)
| ~ v1_xboole_0(sK3)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(unflattening,[status(thm)],[c_4444]) ).
tcf(c_4446,plain,
~ v1_xboole_0(sK3),
inference(global_subsumption_just,[status(thm)],[c_4445,c_56,c_54,c_53,c_4445]) ).
tcf(c_4451,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X1 != sK3 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_89]) ).
tcf(c_4452,plain,
( v3_struct_0(sK2)
| m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(unflattening,[status(thm)],[c_4451]) ).
tcf(c_4453,plain,
m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2)),
inference(global_subsumption_just,[status(thm)],[c_4452,c_56,c_54,c_53,c_4452]) ).
tcf(c_4458,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 )
| ( k17_filter_2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3228,c_90]) ).
tcf(c_4459,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k17_filter_2(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4458]) ).
tcf(c_4473,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ( k7_filter_2(X2,X1) = k15_filter_2(X2,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_265,c_90]) ).
tcf(c_4474,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,k17_filter_2(X0)) = k15_filter_2(X0,k17_filter_2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4473]) ).
tcf(c_4488,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_104,c_90]) ).
tcf(c_4489,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_4488]) ).
tcf(c_4503,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X2,X1),k1_lattice2(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_89,c_90]) ).
tcf(c_4504,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X0,k17_filter_2(X0)),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4503]) ).
tcf(c_4518,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_3228,c_122]) ).
tcf(c_4519,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_4518]) ).
tcf(c_4533,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ( k7_filter_2(X2,X1) = k15_filter_2(X2,X1) )
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK12(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_265,c_122]) ).
tcf(c_4534,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK12(X0)) = k15_filter_2(X0,sK12(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4533]) ).
tcf(c_4548,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_104,c_122]) ).
tcf(c_4549,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK12(X0)) ),
inference(unflattening,[status(thm)],[c_4548]) ).
tcf(c_4563,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X2,X1),k1_lattice2(X2))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( sK12(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_122]) ).
tcf(c_4564,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X0,sK12(X0)),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4563]) ).
tcf(c_4724,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( k1_lattice2(sK2) != X1 )
| ( k15_filter_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_268,c_4453]) ).
tcf(c_4725,plain,
( v3_struct_0(k1_lattice2(sK2))
| m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_4724]) ).
tcf(c_4752,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)
| ( k1_lattice2(X0) != X2 )
| ( k15_filter_2(X0,k17_filter_2(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3246,c_4504]) ).
tcf(c_4753,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| m1_subset_1(k15_filter_2(X0,k17_filter_2(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_4752]) ).
tcf(c_4788,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)
| ( k1_lattice2(X0) != X2 )
| ( k15_filter_2(X0,k17_filter_2(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_4504]) ).
tcf(c_4789,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v1_xboole_0(k15_filter_2(X0,k17_filter_2(X0))) ),
inference(unflattening,[status(thm)],[c_4788]) ).
tcf(c_4806,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)
| ( k1_lattice2(X0) != X2 )
| ( k15_filter_2(X0,sK12(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3246,c_4564]) ).
tcf(c_4807,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| m1_subset_1(k15_filter_2(X0,sK12(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_4806]) ).
tcf(c_4842,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)
| ( k1_lattice2(X0) != X2 )
| ( k15_filter_2(X0,sK12(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_4564]) ).
tcf(c_4843,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v1_xboole_0(k15_filter_2(X0,sK12(X0))) ),
inference(unflattening,[status(thm)],[c_4842]) ).
tcf(c_4891,plain,
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4128,c_4725]) ).
tcf(c_4943,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_91,c_101]) ).
tcf(c_4944,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_4943]) ).
tcf(c_4958,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_91,c_100]) ).
tcf(c_4959,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_4958]) ).
tcf(c_4988,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 )
| ( sK8(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_118]) ).
tcf(c_4989,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK8(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4988]) ).
tcf(c_5003,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 )
| ( sK8(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_100,c_118]) ).
tcf(c_5004,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK8(X0)) ),
inference(unflattening,[status(thm)],[c_5003]) ).
tcf(c_5042,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_92,c_3246]) ).
tcf(c_5043,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_5042]) ).
tcf(c_5056,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_92,c_102]) ).
tcf(c_5057,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_5056]) ).
tcf(c_5070,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 )
| ( sK9(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3246,c_119]) ).
tcf(c_5071,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK9(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_5070]) ).
tcf(c_5084,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 )
| ( sK9(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_119]) ).
tcf(c_5085,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(sK9(X0)) ),
inference(unflattening,[status(thm)],[c_5084]) ).
tcf(c_5098,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)
| ( k1_lattice2(sK2) != X1 )
| ( k15_filter_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_3246,c_4453]) ).
tcf(c_5099,plain,
( v3_struct_0(k1_lattice2(sK2))
| m1_subset_1(k15_filter_2(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_5098]) ).
tcf(c_5112,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( k1_lattice2(sK2) != X1 )
| ( k15_filter_2(sK2,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_4453]) ).
tcf(c_5113,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v1_xboole_0(k15_filter_2(sK2,sK3)) ),
inference(unflattening,[status(thm)],[c_5112]) ).
tcf(c_5126,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)
| ( k1_lattice2(X0) != X2 )
| ( k15_filter_2(X0,k17_filter_2(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3246,c_4504]) ).
tcf(c_5127,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| m1_subset_1(k15_filter_2(X0,k17_filter_2(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_5126]) ).
tcf(c_5142,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)
| ( k1_lattice2(X0) != X2 )
| ( k15_filter_2(X0,k17_filter_2(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_4504]) ).
tcf(c_5143,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v1_xboole_0(k15_filter_2(X0,k17_filter_2(X0))) ),
inference(unflattening,[status(thm)],[c_5142]) ).
tcf(c_5158,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)
| ( k1_lattice2(X0) != X2 )
| ( k15_filter_2(X0,sK12(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3246,c_4564]) ).
tcf(c_5159,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| m1_subset_1(k15_filter_2(X0,sK12(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_5158]) ).
tcf(c_5174,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)
| ( k1_lattice2(X0) != X2 )
| ( k15_filter_2(X0,sK12(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_4564]) ).
tcf(c_5175,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ v1_xboole_0(k15_filter_2(X0,sK12(X0))) ),
inference(unflattening,[status(thm)],[c_5174]) ).
tcf(c_5238,plain,
! [X0: $i] :
( sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_154]) ).
tcf(c_5239,plain,
( sP0(sK2)
| v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(unflattening,[status(thm)],[c_5238]) ).
tcf(c_5240,plain,
sP0(sK2),
inference(global_subsumption_just,[status(thm)],[c_5239,c_56,c_54,c_53,c_5239]) ).
tcf(c_5246,plain,
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(sK2) != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_4891]) ).
tcf(c_5265,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(sK2) != sK2 )
| ( k17_filter_2(sK2) != sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_4151]) ).
tcf(c_5299,plain,
! [X0: $i] :
( sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK18 ) ),
inference(resolution_lifted,[status(thm)],[c_154,c_230]) ).
tcf(c_5300,plain,
( sP0(sK18)
| v3_struct_0(sK18)
| ~ l3_lattices(sK18)
| ~ v10_lattices(sK18) ),
inference(unflattening,[status(thm)],[c_5299]) ).
tcf(c_5301,plain,
sP0(sK18),
inference(global_subsumption_just,[status(thm)],[c_5300,c_230,c_224,c_215,c_216,c_360]) ).
tcf(c_5306,plain,
! [X0: $i] :
( sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( sK15 != sK17 )
| ( X0 != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_154,c_3701]) ).
tcf(c_5307,plain,
( sP0(sK15)
| v3_struct_0(sK15)
| ~ l3_lattices(sK15)
| ~ v10_lattices(sK15)
| ( sK15 != sK17 ) ),
inference(unflattening,[status(thm)],[c_5306]) ).
tcf(c_5308,plain,
( sP0(sK15)
| ( sK15 != sK17 ) ),
inference(global_subsumption_just,[status(thm)],[c_5307,c_184,c_175,c_176,c_5307]) ).
tcf(c_5331,plain,
! [X0: $i] :
( sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( sK15 != sK18 )
| ( X0 != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_154,c_3699]) ).
tcf(c_5332,plain,
( sP0(sK15)
| v3_struct_0(sK15)
| ~ l3_lattices(sK15)
| ~ v10_lattices(sK15)
| ( sK15 != sK18 ) ),
inference(unflattening,[status(thm)],[c_5331]) ).
tcf(c_5333,plain,
( sP0(sK15)
| ( sK15 != sK18 ) ),
inference(global_subsumption_just,[status(thm)],[c_5332,c_184,c_175,c_176,c_5332]) ).
tcf(c_5389,plain,
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(sK2) != sK18 ) ),
inference(resolution_lifted,[status(thm)],[c_230,c_4891]) ).
tcf(c_5408,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(sK2) != sK18 )
| ( k17_filter_2(sK2) != sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_230,c_4151]) ).
tcf(c_5428,plain,
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( sK15 != sK17 )
| ( k1_lattice2(sK2) != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_3701,c_4891]) ).
tcf(c_5450,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( sK15 != sK17 )
| ( k1_lattice2(sK2) != sK15 )
| ( k17_filter_2(sK2) != sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_3701,c_4151]) ).
tcf(c_5526,plain,
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( sK15 != sK18 )
| ( k1_lattice2(sK2) != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_3699,c_4891]) ).
tcf(c_5548,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( sK15 != sK18 )
| ( k1_lattice2(sK2) != sK15 )
| ( k17_filter_2(sK2) != sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_3699,c_4151]) ).
tcf(c_7345,definition,
iPr_def_12 = k1_lattice2(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_7346,definition,
iPr_def_13 = k1_filter_0(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_7347,definition,
iPr_def_14 = k15_filter_2(sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_7348,definition,
iPr_def_15 = k17_filter_2(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_7349,definition,
iPr_def_16 = u1_struct_0(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_7350,definition,
iPr_def_17 = k1_zfmisc_1(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_7351,definition,
iPr_def_18 = k7_filter_2(sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_7352,definition,
iPr_def_19 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_7353,definition,
iPr_def_20 = k1_zfmisc_1(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_7354,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_15 = sK3 )
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ( iPr_def_12 != sK15 )
| ( sK15 != sK18 ) ),
inference(demodulation,[status(thm)],[c_5526,c_7348,c_7347,c_7346,c_7345]) ).
tcf(c_7356,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_15 = sK3 )
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ( iPr_def_12 != sK15 )
| ( sK15 != sK17 ) ),
inference(demodulation,[status(thm)],[c_5428]) ).
tcf(c_7357,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_15 = sK3 )
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ( iPr_def_12 != sK18 ) ),
inference(demodulation,[status(thm)],[c_5389]) ).
tcf(c_7359,plain,
( v3_struct_0(iPr_def_12)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ( iPr_def_15 != sK3 )
| ( iPr_def_13 != iPr_def_14 )
| ( iPr_def_12 != sK2 ) ),
inference(demodulation,[status(thm)],[c_5265]) ).
tcf(c_7360,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_15 = sK3 )
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ( iPr_def_12 != sK2 ) ),
inference(demodulation,[status(thm)],[c_5246]) ).
tcf(c_7361,plain,
sP0(sK2),
inference(demodulation,[status(thm)],[c_5240]) ).
tcf(c_7362,plain,
( v3_struct_0(iPr_def_12)
| ~ v1_xboole_0(iPr_def_14)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(demodulation,[status(thm)],[c_5113]) ).
tcf(c_7363,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_14,iPr_def_17)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(demodulation,[status(thm)],[c_5099,c_7349,c_7350]) ).
tcf(c_7364,plain,
~ v1_xboole_0(sK3),
inference(demodulation,[status(thm)],[c_4446]) ).
tcf(c_7365,plain,
iPr_def_18 = iPr_def_14,
inference(demodulation,[status(thm)],[c_4439,c_7351]) ).
tcf(c_7366,plain,
m1_subset_1(sK3,iPr_def_20),
inference(demodulation,[status(thm)],[c_4432,c_7352,c_7353]) ).
tcf(c_7367,negated_conjecture,
l3_lattices(sK2),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_7368,negated_conjecture,
v10_lattices(sK2),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_7369,negated_conjecture,
~ v3_struct_0(sK2),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_7370,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_9489,plain,
k7_filter_2(sK2,sK3) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_7351,c_7365]) ).
tcf(c_9494,plain,
v1_funct_1(k1_xboole_0),
inference(superposition,[status(thm)],[c_130,c_59]) ).
tcf(c_9495,plain,
v1_funct_1(sK22),
inference(superposition,[status(thm)],[c_237,c_59]) ).
tcf(c_9497,plain,
! [X0: $i] : v1_funct_1(sK24(X0)),
inference(superposition,[status(thm)],[c_242,c_59]) ).
tcf(c_9499,plain,
m1_subset_1(iPr_def_16,iPr_def_17),
inference(superposition,[status(thm)],[c_7350,c_2898]) ).
tcf(c_9500,plain,
m1_subset_1(sK24(iPr_def_16),iPr_def_17),
inference(superposition,[status(thm)],[c_7350,c_241]) ).
tcf(c_9501,plain,
~ v1_xboole_0(iPr_def_17),
inference(superposition,[status(thm)],[c_7350,c_129]) ).
tcf(c_9502,plain,
m1_subset_1(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_7353,c_2898]) ).
tcf(c_9503,plain,
m1_subset_1(sK24(iPr_def_19),iPr_def_20),
inference(superposition,[status(thm)],[c_7353,c_241]) ).
tcf(c_9504,plain,
~ v1_xboole_0(iPr_def_20),
inference(superposition,[status(thm)],[c_7353,c_129]) ).
tcf(c_9572,plain,
( v3_lattices(iPr_def_12)
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_7345,c_93]) ).
tcf(c_9573,plain,
v3_lattices(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9572,c_7367]) ).
tcf(c_9578,plain,
( l3_lattices(iPr_def_12)
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_7345,c_94]) ).
tcf(c_9579,plain,
l3_lattices(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9578,c_7367]) ).
tcf(c_9669,plain,
( v3_struct_0(sK2)
| ( k7_filter_2(sK2,k17_filter_2(sK2)) = k15_filter_2(sK2,k17_filter_2(sK2)) )
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_7368,c_4474]) ).
tcf(c_9671,plain,
( v3_struct_0(sK15)
| ( k7_filter_2(sK15,k17_filter_2(sK15)) = k15_filter_2(sK15,k17_filter_2(sK15)) )
| ~ l3_lattices(sK15) ),
inference(superposition,[status(thm)],[c_184,c_4474]) ).
tcf(c_9672,plain,
( v3_struct_0(sK16)
| ( k7_filter_2(sK16,k17_filter_2(sK16)) = k15_filter_2(sK16,k17_filter_2(sK16)) )
| ~ l3_lattices(sK16) ),
inference(superposition,[status(thm)],[c_197,c_4474]) ).
tcf(c_9673,plain,
( v3_struct_0(sK17)
| ( k7_filter_2(sK17,k17_filter_2(sK17)) = k15_filter_2(sK17,k17_filter_2(sK17)) )
| ~ l3_lattices(sK17) ),
inference(superposition,[status(thm)],[c_210,c_4474]) ).
tcf(c_9674,plain,
( v3_struct_0(sK18)
| ( k7_filter_2(sK18,k17_filter_2(sK18)) = k15_filter_2(sK18,k17_filter_2(sK18)) )
| ~ l3_lattices(sK18) ),
inference(superposition,[status(thm)],[c_224,c_4474]) ).
tcf(c_9675,plain,
( v3_struct_0(sK31)
| ( k7_filter_2(sK31,k17_filter_2(sK31)) = k15_filter_2(sK31,k17_filter_2(sK31)) )
| ~ l3_lattices(sK31) ),
inference(superposition,[status(thm)],[c_264,c_4474]) ).
tcf(c_9680,plain,
k7_filter_2(sK31,k17_filter_2(sK31)) = k15_filter_2(sK31,k17_filter_2(sK31)),
inference(forward_subsumption_resolution,[status(thm)],[c_9675,c_256,c_255]) ).
tcf(c_9681,plain,
k7_filter_2(sK18,k17_filter_2(sK18)) = k15_filter_2(sK18,k17_filter_2(sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_9674,c_216,c_215]) ).
tcf(c_9682,plain,
k7_filter_2(sK17,k17_filter_2(sK17)) = k15_filter_2(sK17,k17_filter_2(sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_9673,c_202,c_201]) ).
tcf(c_9683,plain,
k7_filter_2(sK16,k17_filter_2(sK16)) = k15_filter_2(sK16,k17_filter_2(sK16)),
inference(forward_subsumption_resolution,[status(thm)],[c_9672,c_189,c_188]) ).
tcf(c_9684,plain,
k7_filter_2(sK15,k17_filter_2(sK15)) = k15_filter_2(sK15,k17_filter_2(sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_9671,c_176,c_175]) ).
tcf(c_9685,plain,
( v3_struct_0(sK2)
| ( k7_filter_2(sK2,iPr_def_15) = k15_filter_2(sK2,iPr_def_15) )
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_9669,c_7348]) ).
tcf(c_9686,plain,
k7_filter_2(sK2,iPr_def_15) = k15_filter_2(sK2,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_9685,c_7369,c_7367]) ).
tcf(c_9747,plain,
( v1_xboole_0(iPr_def_16)
| m1_subset_1(sK21(iPr_def_16),iPr_def_17) ),
inference(superposition,[status(thm)],[c_7350,c_235]) ).
tcf(c_9748,plain,
( v1_xboole_0(iPr_def_19)
| m1_subset_1(sK21(iPr_def_19),iPr_def_20) ),
inference(superposition,[status(thm)],[c_7353,c_235]) ).
tcf(c_9806,plain,
k1_xboole_0 = sK22,
inference(superposition,[status(thm)],[c_237,c_284]) ).
tcf(c_9807,plain,
k1_xboole_0 = sK23,
inference(superposition,[status(thm)],[c_239,c_284]) ).
tcf(c_9808,plain,
! [X0: $i] : sK24(X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_242,c_284]) ).
tcf(c_9811,plain,
! [X0: $i] :
( ( X0 = sK23 )
| ~ v1_xboole_0(X0) ),
inference(demodulation,[status(thm)],[c_284,c_9807]) ).
tcf(c_9817,plain,
! [X0: $i] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_241,c_9808]) ).
tcf(c_9819,plain,
m1_subset_1(k1_xboole_0,iPr_def_17),
inference(demodulation,[status(thm)],[c_9500,c_9808]) ).
tcf(c_9831,plain,
m1_subset_1(sK23,iPr_def_17),
inference(light_normalisation,[status(thm)],[c_9819,c_9807]) ).
tcf(c_9832,plain,
m1_subset_1(sK23,iPr_def_20),
inference(demodulation,[status(thm)],[c_9503,c_9807,c_9808]) ).
tcf(c_9833,plain,
sK22 = sK23,
inference(light_normalisation,[status(thm)],[c_9806,c_9807]) ).
tcf(c_9842,plain,
! [X0: $i] : m1_subset_1(sK23,k1_zfmisc_1(X0)),
inference(light_normalisation,[status(thm)],[c_9817,c_9807]) ).
tcf(c_9845,plain,
! [X0: $i] : sK24(X0) = sK23,
inference(light_normalisation,[status(thm)],[c_9808,c_9807]) ).
tcf(c_9881,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK11(X0),X0) ),
inference(superposition,[status(thm)],[c_121,c_273]) ).
tcf(c_9882,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK21(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_235,c_273]) ).
tcf(c_9883,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_2898,c_273]) ).
tcf(c_9885,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(sK3,iPr_def_20) ),
inference(superposition,[status(thm)],[c_7366,c_273]) ).
tcf(c_9886,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(iPr_def_16,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9499,c_273]) ).
tcf(c_9887,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(iPr_def_19,iPr_def_20) ),
inference(superposition,[status(thm)],[c_9502,c_273]) ).
tcf(c_9888,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK23,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9831,c_273]) ).
tcf(c_9889,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(sK23,iPr_def_20) ),
inference(superposition,[status(thm)],[c_9832,c_273]) ).
tcf(c_9890,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK23,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_9842,c_273]) ).
tcf(c_9891,plain,
r2_hidden(sK23,iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_9889,c_9504]) ).
tcf(c_9892,plain,
r2_hidden(sK23,iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_9888,c_9501]) ).
tcf(c_9893,plain,
r2_hidden(iPr_def_19,iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_9887,c_9504]) ).
tcf(c_9894,plain,
r2_hidden(iPr_def_16,iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_9886,c_9501]) ).
tcf(c_9895,plain,
r2_hidden(sK3,iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_9885,c_9504]) ).
tcf(c_9899,plain,
! [X0: $i] : r2_hidden(sK23,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9890,c_129]) ).
tcf(c_9900,plain,
! [X0: $i] : r2_hidden(X0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9883,c_129]) ).
tcf(c_9901,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK21(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9882,c_129]) ).
tcf(c_9915,plain,
~ r2_hidden(iPr_def_20,sK23),
inference(superposition,[status(thm)],[c_9891,c_58]) ).
tcf(c_9918,plain,
~ r2_hidden(iPr_def_17,sK23),
inference(superposition,[status(thm)],[c_9892,c_58]) ).
tcf(c_9921,plain,
~ r2_hidden(iPr_def_20,iPr_def_19),
inference(superposition,[status(thm)],[c_9893,c_58]) ).
tcf(c_9924,plain,
~ r2_hidden(iPr_def_17,iPr_def_16),
inference(superposition,[status(thm)],[c_9894,c_58]) ).
tcf(c_9927,plain,
~ r2_hidden(iPr_def_20,sK3),
inference(superposition,[status(thm)],[c_9895,c_58]) ).
tcf(c_9935,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),sK23),
inference(superposition,[status(thm)],[c_9899,c_58]) ).
tcf(c_9941,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_9900,c_58]) ).
tcf(c_9959,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK11(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_121,c_279]) ).
tcf(c_9960,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK21(X1)) ),
inference(superposition,[status(thm)],[c_235,c_279]) ).
tcf(c_9962,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK23) ),
inference(superposition,[status(thm)],[c_9842,c_279]) ).
tcf(c_9963,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,iPr_def_16)
| ~ m1_subset_1(X1,iPr_def_17)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_7350,c_279]) ).
tcf(c_9964,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,iPr_def_19)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_7353,c_279]) ).
tcf(c_9987,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK11(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_121,c_283]) ).
tcf(c_9990,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK23) ),
inference(superposition,[status(thm)],[c_9842,c_283]) ).
tcf(c_9991,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(iPr_def_16)
| ~ m1_subset_1(X1,iPr_def_17)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_7350,c_283]) ).
tcf(c_9992,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(iPr_def_19)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_7353,c_283]) ).
tcf(c_10013,plain,
( v3_struct_0(sK2)
| ( u1_struct_0(sK2) = k1_filter_0(sK2) )
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_7368,c_83]) ).
tcf(c_10016,plain,
( v3_struct_0(sK15)
| ( u1_struct_0(sK15) = k1_filter_0(sK15) )
| ~ l3_lattices(sK15) ),
inference(superposition,[status(thm)],[c_184,c_83]) ).
tcf(c_10017,plain,
( v3_struct_0(sK16)
| ( u1_struct_0(sK16) = k1_filter_0(sK16) )
| ~ l3_lattices(sK16) ),
inference(superposition,[status(thm)],[c_197,c_83]) ).
tcf(c_10018,plain,
( v3_struct_0(sK17)
| ( u1_struct_0(sK17) = k1_filter_0(sK17) )
| ~ l3_lattices(sK17) ),
inference(superposition,[status(thm)],[c_210,c_83]) ).
tcf(c_10019,plain,
( v3_struct_0(sK18)
| ( u1_struct_0(sK18) = k1_filter_0(sK18) )
| ~ l3_lattices(sK18) ),
inference(superposition,[status(thm)],[c_224,c_83]) ).
tcf(c_10020,plain,
( v3_struct_0(sK31)
| ( u1_struct_0(sK31) = k1_filter_0(sK31) )
| ~ l3_lattices(sK31) ),
inference(superposition,[status(thm)],[c_264,c_83]) ).
tcf(c_10024,plain,
u1_struct_0(sK31) = k1_filter_0(sK31),
inference(forward_subsumption_resolution,[status(thm)],[c_10020,c_256,c_255]) ).
tcf(c_10025,plain,
u1_struct_0(sK18) = k1_filter_0(sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_10019,c_216,c_215]) ).
tcf(c_10026,plain,
u1_struct_0(sK17) = k1_filter_0(sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_10018,c_202,c_201]) ).
tcf(c_10027,plain,
u1_struct_0(sK16) = k1_filter_0(sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_10017,c_189,c_188]) ).
tcf(c_10028,plain,
u1_struct_0(sK15) = k1_filter_0(sK15),
inference(forward_subsumption_resolution,[status(thm)],[c_10016,c_176,c_175]) ).
tcf(c_10029,plain,
( v3_struct_0(sK2)
| ( k1_filter_0(sK2) = iPr_def_19 )
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_10013,c_7352]) ).
tcf(c_10030,plain,
k1_filter_0(sK2) = iPr_def_19,
inference(forward_subsumption_resolution,[status(thm)],[c_10029,c_7369,c_7367]) ).
tcf(c_10105,plain,
g3_lattices(u1_struct_0(sK2),u1_lattices(sK2),u2_lattices(sK2)) = k1_lattice2(sK2),
inference(superposition,[status(thm)],[c_7367,c_84]) ).
tcf(c_10106,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0))) = k1_lattice2(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_94,c_84]) ).
tcf(c_10107,plain,
g3_lattices(u1_struct_0(sK7),u1_lattices(sK7),u2_lattices(sK7)) = k1_lattice2(sK7),
inference(superposition,[status(thm)],[c_117,c_84]) ).
tcf(c_10108,plain,
g3_lattices(u1_struct_0(sK15),u1_lattices(sK15),u2_lattices(sK15)) = k1_lattice2(sK15),
inference(superposition,[status(thm)],[c_175,c_84]) ).
tcf(c_10109,plain,
g3_lattices(u1_struct_0(sK16),u1_lattices(sK16),u2_lattices(sK16)) = k1_lattice2(sK16),
inference(superposition,[status(thm)],[c_188,c_84]) ).
tcf(c_10110,plain,
g3_lattices(u1_struct_0(sK17),u1_lattices(sK17),u2_lattices(sK17)) = k1_lattice2(sK17),
inference(superposition,[status(thm)],[c_201,c_84]) ).
tcf(c_10111,plain,
g3_lattices(u1_struct_0(sK18),u1_lattices(sK18),u2_lattices(sK18)) = k1_lattice2(sK18),
inference(superposition,[status(thm)],[c_215,c_84]) ).
tcf(c_10112,plain,
g3_lattices(u1_struct_0(sK27),u1_lattices(sK27),u2_lattices(sK27)) = k1_lattice2(sK27),
inference(superposition,[status(thm)],[c_246,c_84]) ).
tcf(c_10113,plain,
g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30)) = k1_lattice2(sK30),
inference(superposition,[status(thm)],[c_252,c_84]) ).
tcf(c_10114,plain,
g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31)) = k1_lattice2(sK31),
inference(superposition,[status(thm)],[c_255,c_84]) ).
tcf(c_10115,plain,
g3_lattices(u1_struct_0(iPr_def_12),u1_lattices(iPr_def_12),u2_lattices(iPr_def_12)) = k1_lattice2(iPr_def_12),
inference(superposition,[status(thm)],[c_9579,c_84]) ).
tcf(c_10117,plain,
g3_lattices(iPr_def_19,u1_lattices(sK2),u2_lattices(sK2)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10105,c_7345,c_7352]) ).
tcf(c_10129,plain,
( v3_struct_0(sK2)
| ( k17_filter_2(sK2) = u1_struct_0(sK2) )
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_7368,c_86]) ).
tcf(c_10132,plain,
( v3_struct_0(sK15)
| ( k17_filter_2(sK15) = u1_struct_0(sK15) )
| ~ l3_lattices(sK15) ),
inference(superposition,[status(thm)],[c_184,c_86]) ).
tcf(c_10133,plain,
( v3_struct_0(sK16)
| ( k17_filter_2(sK16) = u1_struct_0(sK16) )
| ~ l3_lattices(sK16) ),
inference(superposition,[status(thm)],[c_197,c_86]) ).
tcf(c_10134,plain,
( v3_struct_0(sK17)
| ( k17_filter_2(sK17) = u1_struct_0(sK17) )
| ~ l3_lattices(sK17) ),
inference(superposition,[status(thm)],[c_210,c_86]) ).
tcf(c_10135,plain,
( v3_struct_0(sK18)
| ( k17_filter_2(sK18) = u1_struct_0(sK18) )
| ~ l3_lattices(sK18) ),
inference(superposition,[status(thm)],[c_224,c_86]) ).
tcf(c_10136,plain,
( v3_struct_0(sK31)
| ( k17_filter_2(sK31) = u1_struct_0(sK31) )
| ~ l3_lattices(sK31) ),
inference(superposition,[status(thm)],[c_264,c_86]) ).
tcf(c_10140,plain,
k17_filter_2(sK31) = u1_struct_0(sK31),
inference(forward_subsumption_resolution,[status(thm)],[c_10136,c_256,c_255]) ).
tcf(c_10141,plain,
k17_filter_2(sK18) = u1_struct_0(sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_10135,c_216,c_215]) ).
tcf(c_10142,plain,
k17_filter_2(sK17) = u1_struct_0(sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_10134,c_202,c_201]) ).
tcf(c_10143,plain,
k17_filter_2(sK16) = u1_struct_0(sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_10133,c_189,c_188]) ).
tcf(c_10144,plain,
k17_filter_2(sK15) = u1_struct_0(sK15),
inference(forward_subsumption_resolution,[status(thm)],[c_10132,c_176,c_175]) ).
tcf(c_10145,plain,
( v3_struct_0(sK2)
| ( iPr_def_15 = iPr_def_19 )
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_10129,c_7348,c_7352]) ).
tcf(c_10146,plain,
iPr_def_15 = iPr_def_19,
inference(forward_subsumption_resolution,[status(thm)],[c_10145,c_7369,c_7367]) ).
tcf(c_10158,plain,
k7_filter_2(sK31,u1_struct_0(sK31)) = k15_filter_2(sK31,u1_struct_0(sK31)),
inference(demodulation,[status(thm)],[c_9680,c_10140]) ).
tcf(c_10159,plain,
k7_filter_2(sK18,u1_struct_0(sK18)) = k15_filter_2(sK18,u1_struct_0(sK18)),
inference(demodulation,[status(thm)],[c_9681,c_10141]) ).
tcf(c_10160,plain,
k7_filter_2(sK17,u1_struct_0(sK17)) = k15_filter_2(sK17,u1_struct_0(sK17)),
inference(demodulation,[status(thm)],[c_9682,c_10142]) ).
tcf(c_10161,plain,
k7_filter_2(sK16,u1_struct_0(sK16)) = k15_filter_2(sK16,u1_struct_0(sK16)),
inference(demodulation,[status(thm)],[c_9683,c_10143]) ).
tcf(c_10162,plain,
k1_filter_0(sK2) = iPr_def_15,
inference(demodulation,[status(thm)],[c_10030,c_10146]) ).
tcf(c_10163,plain,
~ r2_hidden(iPr_def_20,iPr_def_15),
inference(demodulation,[status(thm)],[c_9921,c_10146]) ).
tcf(c_10164,plain,
r2_hidden(iPr_def_15,iPr_def_20),
inference(demodulation,[status(thm)],[c_9893,c_10146]) ).
tcf(c_10165,plain,
m1_subset_1(iPr_def_15,iPr_def_20),
inference(demodulation,[status(thm)],[c_9502,c_10146]) ).
tcf(c_10166,plain,
k1_zfmisc_1(iPr_def_15) = iPr_def_20,
inference(demodulation,[status(thm)],[c_7353,c_10146]) ).
tcf(c_10167,plain,
u1_struct_0(sK2) = iPr_def_15,
inference(demodulation,[status(thm)],[c_7352,c_10146]) ).
tcf(c_10178,plain,
( v3_struct_0(sK2)
| ( k1_filter_0(sK2) = k1_filter_2(sK2) )
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_7368,c_266]) ).
tcf(c_10181,plain,
( v3_struct_0(sK15)
| ( k1_filter_0(sK15) = k1_filter_2(sK15) )
| ~ l3_lattices(sK15) ),
inference(superposition,[status(thm)],[c_184,c_266]) ).
tcf(c_10182,plain,
( v3_struct_0(sK16)
| ( k1_filter_0(sK16) = k1_filter_2(sK16) )
| ~ l3_lattices(sK16) ),
inference(superposition,[status(thm)],[c_197,c_266]) ).
tcf(c_10183,plain,
( v3_struct_0(sK17)
| ( k1_filter_0(sK17) = k1_filter_2(sK17) )
| ~ l3_lattices(sK17) ),
inference(superposition,[status(thm)],[c_210,c_266]) ).
tcf(c_10184,plain,
( v3_struct_0(sK18)
| ( k1_filter_0(sK18) = k1_filter_2(sK18) )
| ~ l3_lattices(sK18) ),
inference(superposition,[status(thm)],[c_224,c_266]) ).
tcf(c_10185,plain,
( v3_struct_0(sK31)
| ( k1_filter_0(sK31) = k1_filter_2(sK31) )
| ~ l3_lattices(sK31) ),
inference(superposition,[status(thm)],[c_264,c_266]) ).
tcf(c_10189,plain,
( v3_struct_0(sK31)
| ( u1_struct_0(sK31) = k1_filter_2(sK31) )
| ~ l3_lattices(sK31) ),
inference(light_normalisation,[status(thm)],[c_10185,c_10024]) ).
tcf(c_10190,plain,
u1_struct_0(sK31) = k1_filter_2(sK31),
inference(forward_subsumption_resolution,[status(thm)],[c_10189,c_256,c_255]) ).
tcf(c_10191,plain,
( v3_struct_0(sK18)
| ( u1_struct_0(sK18) = k1_filter_2(sK18) )
| ~ l3_lattices(sK18) ),
inference(light_normalisation,[status(thm)],[c_10184,c_10025]) ).
tcf(c_10192,plain,
u1_struct_0(sK18) = k1_filter_2(sK18),
inference(forward_subsumption_resolution,[status(thm)],[c_10191,c_216,c_215]) ).
tcf(c_10193,plain,
( v3_struct_0(sK17)
| ( u1_struct_0(sK17) = k1_filter_2(sK17) )
| ~ l3_lattices(sK17) ),
inference(light_normalisation,[status(thm)],[c_10183,c_10026]) ).
tcf(c_10194,plain,
u1_struct_0(sK17) = k1_filter_2(sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_10193,c_202,c_201]) ).
tcf(c_10195,plain,
( v3_struct_0(sK16)
| ( u1_struct_0(sK16) = k1_filter_2(sK16) )
| ~ l3_lattices(sK16) ),
inference(light_normalisation,[status(thm)],[c_10182,c_10027]) ).
tcf(c_10196,plain,
u1_struct_0(sK16) = k1_filter_2(sK16),
inference(forward_subsumption_resolution,[status(thm)],[c_10195,c_189,c_188]) ).
tcf(c_10197,plain,
( v3_struct_0(sK15)
| ( u1_struct_0(sK15) = k1_filter_2(sK15) )
| ~ l3_lattices(sK15) ),
inference(light_normalisation,[status(thm)],[c_10181,c_10028]) ).
tcf(c_10198,plain,
u1_struct_0(sK15) = k1_filter_2(sK15),
inference(forward_subsumption_resolution,[status(thm)],[c_10197,c_176,c_175]) ).
tcf(c_10199,plain,
( v3_struct_0(sK2)
| ( k1_filter_2(sK2) = iPr_def_15 )
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_10178,c_10162]) ).
tcf(c_10200,plain,
k1_filter_2(sK2) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_10199,c_7369,c_7367]) ).
tcf(c_10220,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) )
| ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_93,c_57]) ).
tcf(c_10221,plain,
( ( g3_lattices(u1_struct_0(sK15),u2_lattices(sK15),u1_lattices(sK15)) = sK15 )
| ~ l3_lattices(sK15) ),
inference(superposition,[status(thm)],[c_177,c_57]) ).
tcf(c_10222,plain,
( ( g3_lattices(u1_struct_0(sK16),u2_lattices(sK16),u1_lattices(sK16)) = sK16 )
| ~ l3_lattices(sK16) ),
inference(superposition,[status(thm)],[c_190,c_57]) ).
tcf(c_10223,plain,
( ( g3_lattices(u1_struct_0(sK17),u2_lattices(sK17),u1_lattices(sK17)) = sK17 )
| ~ l3_lattices(sK17) ),
inference(superposition,[status(thm)],[c_203,c_57]) ).
tcf(c_10224,plain,
( ( g3_lattices(u1_struct_0(sK18),u2_lattices(sK18),u1_lattices(sK18)) = sK18 )
| ~ l3_lattices(sK18) ),
inference(superposition,[status(thm)],[c_217,c_57]) ).
tcf(c_10225,plain,
( ( g3_lattices(u1_struct_0(sK27),u2_lattices(sK27),u1_lattices(sK27)) = sK27 )
| ~ l3_lattices(sK27) ),
inference(superposition,[status(thm)],[c_247,c_57]) ).
tcf(c_10226,plain,
( ( g3_lattices(u1_struct_0(sK30),u2_lattices(sK30),u1_lattices(sK30)) = sK30 )
| ~ l3_lattices(sK30) ),
inference(superposition,[status(thm)],[c_254,c_57]) ).
tcf(c_10227,plain,
( ( g3_lattices(u1_struct_0(sK31),u2_lattices(sK31),u1_lattices(sK31)) = sK31 )
| ~ l3_lattices(sK31) ),
inference(superposition,[status(thm)],[c_257,c_57]) ).
tcf(c_10228,plain,
( ( g3_lattices(u1_struct_0(iPr_def_12),u2_lattices(iPr_def_12),u1_lattices(iPr_def_12)) = iPr_def_12 )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9573,c_57]) ).
tcf(c_10231,plain,
g3_lattices(u1_struct_0(sK31),u2_lattices(sK31),u1_lattices(sK31)) = sK31,
inference(forward_subsumption_resolution,[status(thm)],[c_10227,c_255]) ).
tcf(c_10232,plain,
g3_lattices(u1_struct_0(sK30),u2_lattices(sK30),u1_lattices(sK30)) = sK30,
inference(forward_subsumption_resolution,[status(thm)],[c_10226,c_252]) ).
tcf(c_10233,plain,
g3_lattices(u1_struct_0(sK27),u2_lattices(sK27),u1_lattices(sK27)) = sK27,
inference(forward_subsumption_resolution,[status(thm)],[c_10225,c_246]) ).
tcf(c_10234,plain,
g3_lattices(u1_struct_0(sK18),u2_lattices(sK18),u1_lattices(sK18)) = sK18,
inference(forward_subsumption_resolution,[status(thm)],[c_10224,c_215]) ).
tcf(c_10235,plain,
g3_lattices(u1_struct_0(sK17),u2_lattices(sK17),u1_lattices(sK17)) = sK17,
inference(forward_subsumption_resolution,[status(thm)],[c_10223,c_201]) ).
tcf(c_10236,plain,
g3_lattices(u1_struct_0(sK16),u2_lattices(sK16),u1_lattices(sK16)) = sK16,
inference(forward_subsumption_resolution,[status(thm)],[c_10222,c_188]) ).
tcf(c_10237,plain,
g3_lattices(u1_struct_0(sK15),u2_lattices(sK15),u1_lattices(sK15)) = sK15,
inference(forward_subsumption_resolution,[status(thm)],[c_10221,c_175]) ).
tcf(c_10252,plain,
( v1_xboole_0(iPr_def_15)
| m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10166,c_235]) ).
tcf(c_10255,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_10166,c_283]) ).
tcf(c_10256,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,iPr_def_15)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_10166,c_279]) ).
tcf(c_10265,plain,
g3_lattices(iPr_def_15,u1_lattices(sK2),u2_lattices(sK2)) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10117,c_10146]) ).
tcf(c_10266,plain,
k7_filter_2(sK15,u1_struct_0(sK15)) = k15_filter_2(sK15,u1_struct_0(sK15)),
inference(light_normalisation,[status(thm)],[c_9684,c_10144]) ).
tcf(c_10277,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK11(k1_zfmisc_1(u1_struct_0(X0)))) = sK11(k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_121,c_85]) ).
tcf(c_10278,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ( k7_filter_2(X0,sK21(u1_struct_0(X0))) = sK21(u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_235,c_85]) ).
tcf(c_10279,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,u1_struct_0(X0)) = u1_struct_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_2898,c_85]) ).
tcf(c_10280,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK23) = sK23 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_9842,c_85]) ).
tcf(c_10281,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| ( k7_filter_2(sK2,X0) = X0 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_10167,c_85]) ).
tcf(c_10295,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| ( k7_filter_2(sK2,X0) = X0 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_10281,c_10166]) ).
tcf(c_10296,plain,
! [X0: $i] :
( ( k7_filter_2(sK2,X0) = X0 )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10295,c_7369,c_7367,c_7368]) ).
tcf(c_10326,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK11(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK11(k1_zfmisc_1(u1_struct_0(X0))))) ),
inference(superposition,[status(thm)],[c_121,c_125]) ).
tcf(c_10327,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(sK21(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK21(u1_struct_0(X0)))) ),
inference(superposition,[status(thm)],[c_235,c_125]) ).
tcf(c_10328,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,u1_struct_0(X0))) ),
inference(superposition,[status(thm)],[c_2898,c_125]) ).
tcf(c_10330,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| v1_xboole_0(X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_15))
| ~ v1_xboole_0(k7_filter_2(sK2,X0)) ),
inference(superposition,[status(thm)],[c_10167,c_125]) ).
tcf(c_10342,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| v1_xboole_0(X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k7_filter_2(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_10330,c_10166]) ).
tcf(c_10343,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ v1_xboole_0(k7_filter_2(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10342,c_7369,c_7367,c_7368]) ).
tcf(c_10373,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_9489,c_95]) ).
tcf(c_10374,plain,
( v3_struct_0(sK2)
| m1_subset_1(k15_filter_2(sK2,iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_9686,c_95]) ).
tcf(c_10375,plain,
( v3_struct_0(sK15)
| m1_subset_1(k15_filter_2(sK15,u1_struct_0(sK15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15))))
| ~ l3_lattices(sK15)
| ~ v10_lattices(sK15)
| ~ m1_subset_1(u1_struct_0(sK15),k1_zfmisc_1(u1_struct_0(sK15))) ),
inference(superposition,[status(thm)],[c_10266,c_95]) ).
tcf(c_10376,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| m1_subset_1(k7_filter_2(sK2,X0),k1_zfmisc_1(u1_struct_0(iPr_def_12)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_7345,c_95]) ).
tcf(c_10377,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| v1_xboole_0(k7_filter_2(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))) ),
inference(superposition,[status(thm)],[c_95,c_125]) ).
tcf(c_10378,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(k1_lattice2(X1))
| ( k7_filter_2(k1_lattice2(X1),k7_filter_2(X1,X0)) = k7_filter_2(X1,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_95,c_85]) ).
tcf(c_10379,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| r2_hidden(k7_filter_2(X1,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(superposition,[status(thm)],[c_95,c_273]) ).
tcf(c_10380,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k7_filter_2(X1,X2)) ),
inference(superposition,[status(thm)],[c_95,c_283]) ).
tcf(c_10381,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(k1_lattice2(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X0,k7_filter_2(X1,X2)) ),
inference(superposition,[status(thm)],[c_95,c_279]) ).
tcf(c_10389,plain,
m1_subset_1(k15_filter_2(sK15,u1_struct_0(sK15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10375,c_176,c_175,c_184,c_2898]) ).
tcf(c_10402,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| r2_hidden(k7_filter_2(X1,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10379,c_129]) ).
tcf(c_10470,plain,
k7_filter_2(sK2,sK11(iPr_def_20)) = sK11(iPr_def_20),
inference(superposition,[status(thm)],[c_121,c_10296]) ).
tcf(c_10471,plain,
k7_filter_2(sK2,sK3) = sK3,
inference(superposition,[status(thm)],[c_7366,c_10296]) ).
tcf(c_10472,plain,
k7_filter_2(sK2,sK23) = sK23,
inference(superposition,[status(thm)],[c_9832,c_10296]) ).
tcf(c_10473,plain,
k7_filter_2(sK2,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_10165,c_10296]) ).
tcf(c_10474,plain,
sK3 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_10471,c_9489]) ).
tcf(c_10475,plain,
k15_filter_2(sK2,iPr_def_15) = iPr_def_15,
inference(demodulation,[status(thm)],[c_9686,c_10473]) ).
tcf(c_10478,plain,
~ r2_hidden(iPr_def_20,iPr_def_14),
inference(demodulation,[status(thm)],[c_9927,c_10474]) ).
tcf(c_10479,plain,
r2_hidden(iPr_def_14,iPr_def_20),
inference(demodulation,[status(thm)],[c_9895,c_10474]) ).
tcf(c_10487,plain,
k7_filter_2(sK2,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_9489,c_10474]) ).
tcf(c_10488,plain,
k15_filter_2(sK2,iPr_def_14) = iPr_def_14,
inference(demodulation,[status(thm)],[c_7347,c_10474]) ).
tcf(c_10489,plain,
m1_subset_1(iPr_def_14,iPr_def_20),
inference(demodulation,[status(thm)],[c_7366,c_10474]) ).
tcf(c_10522,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_10472,c_95]) ).
tcf(c_10526,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_10473,c_95]) ).
tcf(c_10530,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_10470,c_95]) ).
tcf(c_10583,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10265,c_172]) ).
tcf(c_10585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_15 )
| ~ 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_12 ) ),
inference(superposition,[status(thm)],[c_10265,c_172]) ).
tcf(c_10640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK2) = X1 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10265,c_173]) ).
tcf(c_10642,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK2) = 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_12 ) ),
inference(superposition,[status(thm)],[c_10265,c_173]) ).
tcf(c_10731,plain,
( v1_xboole_0(iPr_def_20)
| v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10252,c_273]) ).
tcf(c_10733,plain,
( v1_xboole_0(iPr_def_15)
| ( k7_filter_2(sK2,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_10252,c_10296]) ).
tcf(c_10734,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_15),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10731,c_9504]) ).
tcf(c_10746,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( k7_filter_2(sK2,sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_10733,c_286]) ).
tcf(c_10747,plain,
( v1_funct_1(iPr_def_15)
| ( k7_filter_2(sK2,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_10733,c_59]) ).
tcf(c_10754,plain,
k1_lattice2(sK2) = k1_lattice2(sK2),
inference(instantiation,[status(thm)],[c_7370]) ).
tcf(c_10807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = X2 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10265,c_174]) ).
tcf(c_10809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = 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_12 ) ),
inference(superposition,[status(thm)],[c_10265,c_174]) ).
tcf(c_10852,plain,
( v3_struct_0(sK28)
| v1_xboole_0(sK29(sK28))
| ~ l3_lattices(sK28)
| ~ v10_lattices(sK28)
| ~ v1_xboole_0(k7_filter_2(sK28,sK29(sK28))) ),
inference(superposition,[status(thm)],[c_3585,c_125]) ).
tcf(c_10853,plain,
( v3_struct_0(sK28)
| ( k7_filter_2(sK28,sK29(sK28)) = sK29(sK28) )
| ~ l3_lattices(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_3585,c_85]) ).
tcf(c_10854,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK28)))
| r2_hidden(sK29(sK28),k1_zfmisc_1(u1_struct_0(sK28))) ),
inference(superposition,[status(thm)],[c_3585,c_273]) ).
tcf(c_10856,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(sK28))
| ~ r2_hidden(X0,sK29(sK28)) ),
inference(superposition,[status(thm)],[c_3585,c_279]) ).
tcf(c_10859,plain,
r2_hidden(sK29(sK28),k1_zfmisc_1(u1_struct_0(sK28))),
inference(forward_subsumption_resolution,[status(thm)],[c_10854,c_129]) ).
tcf(c_10860,plain,
( ( k7_filter_2(sK28,sK29(sK28)) = sK29(sK28) )
| ~ l3_lattices(sK28)
| ~ v10_lattices(sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10853,c_249]) ).
tcf(c_10864,plain,
( ~ l3_lattices(sK28)
| ~ v10_lattices(sK28)
| ~ v1_xboole_0(k7_filter_2(sK28,sK29(sK28))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10852,c_249,c_3578]) ).
tcf(c_11000,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK11(X0)) ),
inference(superposition,[status(thm)],[c_9881,c_58]) ).
tcf(c_11252,plain,
( v1_xboole_0(iPr_def_15)
| ~ r2_hidden(iPr_def_20,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_10734,c_58]) ).
tcf(c_11264,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_10487,c_95]) ).
tcf(c_11269,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK28)),sK29(sK28)),
inference(superposition,[status(thm)],[c_10859,c_58]) ).
tcf(c_11271,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK28))),
inference(superposition,[status(thm)],[c_10859,c_285]) ).
tcf(c_11285,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_9881,c_10255]) ).
tcf(c_11290,plain,
! [X0: $i] :
( ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_9899,c_10255]) ).
tcf(c_11296,plain,
( ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10479,c_10255]) ).
tcf(c_11300,plain,
( ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK28)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10859,c_10255]) ).
tcf(c_11323,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_15)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_9881,c_10256]) ).
tcf(c_11324,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_9900,c_10256]) ).
tcf(c_11326,plain,
( m1_subset_1(sK23,iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_9892,c_10256]) ).
tcf(c_11327,plain,
( m1_subset_1(sK23,iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_9891,c_10256]) ).
tcf(c_11328,plain,
! [X0: $i] :
( m1_subset_1(sK23,iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_9899,c_10256]) ).
tcf(c_11331,plain,
( m1_subset_1(iPr_def_15,iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10164,c_10256]) ).
tcf(c_11334,plain,
( m1_subset_1(iPr_def_14,iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10479,c_10256]) ).
tcf(c_11336,plain,
( v1_xboole_0(iPr_def_15)
| m1_subset_1(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10734,c_10256]) ).
tcf(c_11338,plain,
( m1_subset_1(sK29(sK28),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK28)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10859,c_10256]) ).
tcf(c_11426,plain,
( ( sK23 = iPr_def_15 )
| ( k7_filter_2(sK2,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_239,c_10746]) ).
tcf(c_11608,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK21(X0)) ),
inference(superposition,[status(thm)],[c_9901,c_58]) ).
tcf(c_11609,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK21(X0),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_20) ),
inference(superposition,[status(thm)],[c_9901,c_10256]) ).
tcf(c_11769,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK23 = iPr_def_15 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_11426,c_95]) ).
tcf(c_11957,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| r2_hidden(sK14(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_3085,c_273]) ).
tcf(c_11958,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,sK14(X1,X2)) ),
inference(superposition,[status(thm)],[c_3085,c_283]) ).
tcf(c_11959,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,sK14(X1,X2)) ),
inference(superposition,[status(thm)],[c_3085,c_279]) ).
tcf(c_11964,plain,
! [X0: $i,X1: $i] : r2_hidden(sK14(X0,X1),k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(forward_subsumption_resolution,[status(thm)],[c_11957,c_129]) ).
tcf(c_11976,plain,
( v3_struct_0(sK5)
| v1_xboole_0(sK29(sK5))
| ~ l3_lattices(sK5)
| ~ v10_lattices(sK5)
| ~ v1_xboole_0(k7_filter_2(sK5,sK29(sK5))) ),
inference(superposition,[status(thm)],[c_3561,c_125]) ).
tcf(c_11977,plain,
( v3_struct_0(sK5)
| ( k7_filter_2(sK5,sK29(sK5)) = sK29(sK5) )
| ~ l3_lattices(sK5)
| ~ v10_lattices(sK5) ),
inference(superposition,[status(thm)],[c_3561,c_85]) ).
tcf(c_11978,plain,
( v3_struct_0(sK5)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK5)))
| r2_hidden(sK29(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(superposition,[status(thm)],[c_3561,c_273]) ).
tcf(c_11980,plain,
! [X0: $i] :
( v3_struct_0(sK5)
| m1_subset_1(X0,u1_struct_0(sK5))
| ~ r2_hidden(X0,sK29(sK5)) ),
inference(superposition,[status(thm)],[c_3561,c_279]) ).
tcf(c_11984,plain,
( v3_struct_0(sK5)
| r2_hidden(sK29(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11978,c_129]) ).
tcf(c_12005,plain,
( v3_struct_0(sK4)
| v1_xboole_0(sK29(sK4))
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4)
| ~ v1_xboole_0(k7_filter_2(sK4,sK29(sK4))) ),
inference(superposition,[status(thm)],[c_3606,c_125]) ).
tcf(c_12006,plain,
( v3_struct_0(sK4)
| ( k7_filter_2(sK4,sK29(sK4)) = sK29(sK4) )
| ~ l3_lattices(sK4)
| ~ v10_lattices(sK4) ),
inference(superposition,[status(thm)],[c_3606,c_85]) ).
tcf(c_12007,plain,
( v3_struct_0(sK4)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK4)))
| r2_hidden(sK29(sK4),k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(superposition,[status(thm)],[c_3606,c_273]) ).
tcf(c_12009,plain,
! [X0: $i] :
( v3_struct_0(sK4)
| m1_subset_1(X0,u1_struct_0(sK4))
| ~ r2_hidden(X0,sK29(sK4)) ),
inference(superposition,[status(thm)],[c_3606,c_279]) ).
tcf(c_12013,plain,
( v3_struct_0(sK4)
| r2_hidden(sK29(sK4),k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12007,c_129]) ).
tcf(c_12317,plain,
( v3_struct_0(sK6)
| v1_xboole_0(sK29(sK6))
| ~ l3_lattices(sK6)
| ~ v10_lattices(sK6)
| ~ v1_xboole_0(k7_filter_2(sK6,sK29(sK6))) ),
inference(superposition,[status(thm)],[c_3630,c_125]) ).
tcf(c_12318,plain,
( v3_struct_0(sK6)
| ( k7_filter_2(sK6,sK29(sK6)) = sK29(sK6) )
| ~ l3_lattices(sK6)
| ~ v10_lattices(sK6) ),
inference(superposition,[status(thm)],[c_3630,c_85]) ).
tcf(c_12319,plain,
( v3_struct_0(sK6)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6)))
| r2_hidden(sK29(sK6),k1_zfmisc_1(u1_struct_0(sK6))) ),
inference(superposition,[status(thm)],[c_3630,c_273]) ).
tcf(c_12321,plain,
! [X0: $i] :
( v3_struct_0(sK6)
| m1_subset_1(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK29(sK6)) ),
inference(superposition,[status(thm)],[c_3630,c_279]) ).
tcf(c_12325,plain,
( v3_struct_0(sK6)
| r2_hidden(sK29(sK6),k1_zfmisc_1(u1_struct_0(sK6))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12319,c_129]) ).
tcf(c_12554,plain,
! [X0: $i,X1: $i] : ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK14(X0,X1)),
inference(superposition,[status(thm)],[c_11964,c_58]) ).
tcf(c_12555,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK14(X0,X1),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11964,c_10256]) ).
tcf(c_12556,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11964,c_10255]) ).
tcf(c_12558,plain,
! [X0: $i,X1: $i] : ~ v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_11964,c_285]) ).
tcf(c_12574,plain,
( v3_struct_0(sK5)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK5)),sK29(sK5)) ),
inference(superposition,[status(thm)],[c_11984,c_58]) ).
tcf(c_12575,plain,
( v3_struct_0(sK5)
| m1_subset_1(sK29(sK5),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK5)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11984,c_10256]) ).
tcf(c_12576,plain,
( v3_struct_0(sK5)
| ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK5)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11984,c_10255]) ).
tcf(c_12578,plain,
( v3_struct_0(sK5)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(superposition,[status(thm)],[c_11984,c_285]) ).
tcf(c_12601,plain,
( v3_struct_0(sK4)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK4)),sK29(sK4)) ),
inference(superposition,[status(thm)],[c_12013,c_58]) ).
tcf(c_12602,plain,
( v3_struct_0(sK4)
| m1_subset_1(sK29(sK4),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK4)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_12013,c_10256]) ).
tcf(c_12603,plain,
( v3_struct_0(sK4)
| ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK4)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_12013,c_10255]) ).
tcf(c_12605,plain,
( v3_struct_0(sK4)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK4))) ),
inference(superposition,[status(thm)],[c_12013,c_285]) ).
tcf(c_12918,plain,
( v3_struct_0(sK6)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),sK29(sK6)) ),
inference(superposition,[status(thm)],[c_12325,c_58]) ).
tcf(c_12919,plain,
( v3_struct_0(sK6)
| m1_subset_1(sK29(sK6),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK6)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_12325,c_10256]) ).
tcf(c_12920,plain,
( v3_struct_0(sK6)
| ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK6)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_12325,c_10255]) ).
tcf(c_12922,plain,
( v3_struct_0(sK6)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6))) ),
inference(superposition,[status(thm)],[c_12325,c_285]) ).
tcf(c_12973,plain,
( v3_struct_0(sK2)
| ~ v1_xboole_0(iPr_def_15)
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_10167,c_3541]) ).
tcf(c_12976,plain,
~ v1_xboole_0(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_12973,c_7369,c_7367]) ).
tcf(c_12982,plain,
~ r2_hidden(iPr_def_20,sK21(iPr_def_15)),
inference(backward_subsumption_resolution,[status(thm)],[c_11252,c_12976]) ).
tcf(c_12983,plain,
r2_hidden(sK21(iPr_def_15),iPr_def_20),
inference(backward_subsumption_resolution,[status(thm)],[c_10734,c_12976]) ).
tcf(c_12984,plain,
k7_filter_2(sK2,sK21(iPr_def_15)) = sK21(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_10733,c_12976]) ).
tcf(c_12986,plain,
m1_subset_1(sK21(iPr_def_15),iPr_def_20),
inference(backward_subsumption_resolution,[status(thm)],[c_10252,c_12976]) ).
tcf(c_13004,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_12983,c_10256]) ).
tcf(c_13025,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_12984,c_95]) ).
tcf(c_13095,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(X0)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(X0))),X0) ),
inference(superposition,[status(thm)],[c_9881,c_9959]) ).
tcf(c_13097,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_15)
| ~ r2_hidden(X0,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_10166,c_9959]) ).
tcf(c_13172,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_13004,c_273]) ).
tcf(c_13173,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13172,c_12976]) ).
tcf(c_13185,plain,
( ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_13173,c_58]) ).
tcf(c_13198,plain,
( v1_xboole_0(sK11(iPr_def_20))
| m1_subset_1(sK11(sK11(iPr_def_20)),iPr_def_15) ),
inference(superposition,[status(thm)],[c_9881,c_13097]) ).
tcf(c_13213,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_9881,c_9987]) ).
tcf(c_13220,plain,
( v3_struct_0(k1_lattice2(sK15))
| v1_xboole_0(k15_filter_2(sK15,u1_struct_0(sK15)))
| ~ l3_lattices(k1_lattice2(sK15))
| ~ v10_lattices(k1_lattice2(sK15))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(sK15),k15_filter_2(sK15,u1_struct_0(sK15)))) ),
inference(superposition,[status(thm)],[c_10389,c_125]) ).
tcf(c_13221,plain,
( v3_struct_0(k1_lattice2(sK15))
| ( k7_filter_2(k1_lattice2(sK15),k15_filter_2(sK15,u1_struct_0(sK15))) = k15_filter_2(sK15,u1_struct_0(sK15)) )
| ~ l3_lattices(k1_lattice2(sK15))
| ~ v10_lattices(k1_lattice2(sK15)) ),
inference(superposition,[status(thm)],[c_10389,c_85]) ).
tcf(c_13222,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15))))
| r2_hidden(k15_filter_2(sK15,u1_struct_0(sK15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15)))) ),
inference(superposition,[status(thm)],[c_10389,c_273]) ).
tcf(c_13223,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15)))
| ~ r2_hidden(X0,k15_filter_2(sK15,u1_struct_0(sK15))) ),
inference(superposition,[status(thm)],[c_10389,c_283]) ).
tcf(c_13224,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK15)))
| ~ r2_hidden(X0,k15_filter_2(sK15,u1_struct_0(sK15))) ),
inference(superposition,[status(thm)],[c_10389,c_279]) ).
tcf(c_13229,plain,
r2_hidden(k15_filter_2(sK15,u1_struct_0(sK15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15)))),
inference(forward_subsumption_resolution,[status(thm)],[c_13222,c_129]) ).
tcf(c_13248,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(X0)) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_9811]) ).
tcf(c_13249,plain,
! [X0: $i,X1: $i] :
( ( sK11(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_286]) ).
tcf(c_13250,plain,
! [X0: $i] :
( v1_funct_1(sK11(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_59]) ).
tcf(c_13410,plain,
( v1_xboole_0(sK29(sK28))
| m1_subset_1(sK11(sK29(sK28)),u1_struct_0(sK28)) ),
inference(superposition,[status(thm)],[c_9881,c_10856]) ).
tcf(c_13411,plain,
m1_subset_1(sK11(sK29(sK28)),u1_struct_0(sK28)),
inference(forward_subsumption_resolution,[status(thm)],[c_13410,c_3578]) ).
tcf(c_13420,plain,
( v1_xboole_0(u1_struct_0(sK28))
| r2_hidden(sK11(sK29(sK28)),u1_struct_0(sK28)) ),
inference(superposition,[status(thm)],[c_13411,c_273]) ).
tcf(c_13421,plain,
r2_hidden(sK11(sK29(sK28)),u1_struct_0(sK28)),
inference(forward_subsumption_resolution,[status(thm)],[c_13420,c_3592]) ).
tcf(c_13422,plain,
~ r2_hidden(u1_struct_0(sK28),sK11(sK29(sK28))),
inference(superposition,[status(thm)],[c_13421,c_58]) ).
tcf(c_13423,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_15)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_13421,c_10256]) ).
tcf(c_13597,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15))),k15_filter_2(sK15,u1_struct_0(sK15))),
inference(superposition,[status(thm)],[c_13229,c_58]) ).
tcf(c_13598,plain,
( m1_subset_1(k15_filter_2(sK15,u1_struct_0(sK15)),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_13229,c_10256]) ).
tcf(c_13599,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15)))),
inference(superposition,[status(thm)],[c_13229,c_285]) ).
tcf(c_13637,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK4))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK4))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK4),u1_lattices(sK4),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(superposition,[status(thm)],[c_2946,c_137]) ).
tcf(c_13638,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK4),u1_lattices(sK4),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK4))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(superposition,[status(thm)],[c_2946,c_88]) ).
tcf(c_13639,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK4),u1_lattices(sK4),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK4))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(superposition,[status(thm)],[c_2946,c_87]) ).
tcf(c_13640,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK4),u1_lattices(sK4),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13639,c_2951]) ).
tcf(c_13646,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK4),u1_lattices(sK4),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13638,c_2951]) ).
tcf(c_13652,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK4))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK4),u1_lattices(sK4),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4))
| ~ m1_relset_1(u1_lattices(sK4),k2_zfmisc_1(u1_struct_0(sK4),u1_struct_0(sK4)),u1_struct_0(sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13637,c_2951]) ).
tcf(c_13847,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK7) = X2 )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK7) ) ),
inference(superposition,[status(thm)],[c_10107,c_174]) ).
tcf(c_13848,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK7) = X1 )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK7) ) ),
inference(superposition,[status(thm)],[c_10107,c_173]) ).
tcf(c_13849,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK7) = X0 )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK7) ) ),
inference(superposition,[status(thm)],[c_10107,c_172]) ).
tcf(c_13850,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK7) = 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) != k1_lattice2(sK7) ) ),
inference(superposition,[status(thm)],[c_10107,c_174]) ).
tcf(c_13851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK7) = 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) != k1_lattice2(sK7) ) ),
inference(superposition,[status(thm)],[c_10107,c_173]) ).
tcf(c_13852,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK7) = 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) != k1_lattice2(sK7) ) ),
inference(superposition,[status(thm)],[c_10107,c_172]) ).
tcf(c_13947,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK6))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK6))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ m1_relset_1(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)) ),
inference(superposition,[status(thm)],[c_3007,c_137]) ).
tcf(c_13948,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK6))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ m1_relset_1(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)) ),
inference(superposition,[status(thm)],[c_3007,c_88]) ).
tcf(c_13949,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK6))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ m1_relset_1(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)) ),
inference(superposition,[status(thm)],[c_3007,c_87]) ).
tcf(c_13950,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ m1_relset_1(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13949,c_3012]) ).
tcf(c_13956,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ m1_relset_1(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13948,c_3012]) ).
tcf(c_13962,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK6))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK6),u2_lattices(sK6),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6))
| ~ m1_relset_1(u2_lattices(sK6),k2_zfmisc_1(u1_struct_0(sK6),u1_struct_0(sK6)),u1_struct_0(sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13947,c_3012]) ).
tcf(c_13978,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK21(X0))
| m1_subset_1(sK11(sK21(X0)),X0) ),
inference(superposition,[status(thm)],[c_9881,c_9960]) ).
tcf(c_13988,plain,
( v1_xboole_0(iPr_def_15)
| v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK11(iPr_def_20)),iPr_def_15) ),
inference(superposition,[status(thm)],[c_13198,c_273]) ).
tcf(c_13989,plain,
( v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK11(iPr_def_20)),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13988,c_12976]) ).
tcf(c_14008,plain,
( v1_xboole_0(sK11(iPr_def_20))
| ~ r2_hidden(iPr_def_15,sK11(sK11(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_13989,c_58]) ).
tcf(c_14122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK15) = X2 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK15) ) ),
inference(superposition,[status(thm)],[c_10108,c_174]) ).
tcf(c_14123,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK15) = X1 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK15) ) ),
inference(superposition,[status(thm)],[c_10108,c_173]) ).
tcf(c_14124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK15) = X0 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK15) ) ),
inference(superposition,[status(thm)],[c_10108,c_172]) ).
tcf(c_14125,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK15) = 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) != k1_lattice2(sK15) ) ),
inference(superposition,[status(thm)],[c_10108,c_174]) ).
tcf(c_14126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK15) = 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) != k1_lattice2(sK15) ) ),
inference(superposition,[status(thm)],[c_10108,c_173]) ).
tcf(c_14127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK15) = 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) != k1_lattice2(sK15) ) ),
inference(superposition,[status(thm)],[c_10108,c_172]) ).
tcf(c_14186,plain,
( v3_struct_0(sK31)
| m1_subset_1(k15_filter_2(sK31,u1_struct_0(sK31)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31))))
| ~ l3_lattices(sK31)
| ~ v10_lattices(sK31)
| ~ m1_subset_1(u1_struct_0(sK31),k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(superposition,[status(thm)],[c_10158,c_95]) ).
tcf(c_14187,plain,
m1_subset_1(k15_filter_2(sK31,u1_struct_0(sK31)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31)))),
inference(forward_subsumption_resolution,[status(thm)],[c_14186,c_256,c_255,c_264,c_2898]) ).
tcf(c_14188,plain,
( v3_struct_0(k1_lattice2(sK31))
| v1_xboole_0(k15_filter_2(sK31,u1_struct_0(sK31)))
| ~ l3_lattices(k1_lattice2(sK31))
| ~ v10_lattices(k1_lattice2(sK31))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(sK31),k15_filter_2(sK31,u1_struct_0(sK31)))) ),
inference(superposition,[status(thm)],[c_14187,c_125]) ).
tcf(c_14189,plain,
( v3_struct_0(k1_lattice2(sK31))
| ( k7_filter_2(k1_lattice2(sK31),k15_filter_2(sK31,u1_struct_0(sK31))) = k15_filter_2(sK31,u1_struct_0(sK31)) )
| ~ l3_lattices(k1_lattice2(sK31))
| ~ v10_lattices(k1_lattice2(sK31)) ),
inference(superposition,[status(thm)],[c_14187,c_85]) ).
tcf(c_14190,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31))))
| r2_hidden(k15_filter_2(sK31,u1_struct_0(sK31)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31)))) ),
inference(superposition,[status(thm)],[c_14187,c_273]) ).
tcf(c_14191,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31)))
| ~ r2_hidden(X0,k15_filter_2(sK31,u1_struct_0(sK31))) ),
inference(superposition,[status(thm)],[c_14187,c_283]) ).
tcf(c_14192,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK31)))
| ~ r2_hidden(X0,k15_filter_2(sK31,u1_struct_0(sK31))) ),
inference(superposition,[status(thm)],[c_14187,c_279]) ).
tcf(c_14197,plain,
r2_hidden(k15_filter_2(sK31,u1_struct_0(sK31)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31)))),
inference(forward_subsumption_resolution,[status(thm)],[c_14190,c_129]) ).
tcf(c_14213,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31))),k15_filter_2(sK31,u1_struct_0(sK31))),
inference(superposition,[status(thm)],[c_14197,c_58]) ).
tcf(c_14214,plain,
( m1_subset_1(k15_filter_2(sK31,u1_struct_0(sK31)),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14197,c_10256]) ).
tcf(c_14215,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31)))),
inference(superposition,[status(thm)],[c_14197,c_285]) ).
tcf(c_14237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK16) = X2 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK16) ) ),
inference(superposition,[status(thm)],[c_10109,c_174]) ).
tcf(c_14238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK16) = X1 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK16) ) ),
inference(superposition,[status(thm)],[c_10109,c_173]) ).
tcf(c_14239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK16) = X0 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK16) ) ),
inference(superposition,[status(thm)],[c_10109,c_172]) ).
tcf(c_14240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK16) = 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) != k1_lattice2(sK16) ) ),
inference(superposition,[status(thm)],[c_10109,c_174]) ).
tcf(c_14241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK16) = 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) != k1_lattice2(sK16) ) ),
inference(superposition,[status(thm)],[c_10109,c_173]) ).
tcf(c_14242,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK16) = 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) != k1_lattice2(sK16) ) ),
inference(superposition,[status(thm)],[c_10109,c_172]) ).
tcf(c_14297,plain,
( v3_struct_0(sK18)
| m1_subset_1(k15_filter_2(sK18,u1_struct_0(sK18)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18))))
| ~ l3_lattices(sK18)
| ~ v10_lattices(sK18)
| ~ m1_subset_1(u1_struct_0(sK18),k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(superposition,[status(thm)],[c_10159,c_95]) ).
tcf(c_14298,plain,
m1_subset_1(k15_filter_2(sK18,u1_struct_0(sK18)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18)))),
inference(forward_subsumption_resolution,[status(thm)],[c_14297,c_216,c_215,c_224,c_2898]) ).
tcf(c_14307,plain,
( v3_struct_0(k1_lattice2(sK18))
| v1_xboole_0(k15_filter_2(sK18,u1_struct_0(sK18)))
| ~ l3_lattices(k1_lattice2(sK18))
| ~ v10_lattices(k1_lattice2(sK18))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(sK18),k15_filter_2(sK18,u1_struct_0(sK18)))) ),
inference(superposition,[status(thm)],[c_14298,c_125]) ).
tcf(c_14308,plain,
( v3_struct_0(k1_lattice2(sK18))
| ( k7_filter_2(k1_lattice2(sK18),k15_filter_2(sK18,u1_struct_0(sK18))) = k15_filter_2(sK18,u1_struct_0(sK18)) )
| ~ l3_lattices(k1_lattice2(sK18))
| ~ v10_lattices(k1_lattice2(sK18)) ),
inference(superposition,[status(thm)],[c_14298,c_85]) ).
tcf(c_14309,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18))))
| r2_hidden(k15_filter_2(sK18,u1_struct_0(sK18)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18)))) ),
inference(superposition,[status(thm)],[c_14298,c_273]) ).
tcf(c_14310,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18)))
| ~ r2_hidden(X0,k15_filter_2(sK18,u1_struct_0(sK18))) ),
inference(superposition,[status(thm)],[c_14298,c_283]) ).
tcf(c_14311,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK18)))
| ~ r2_hidden(X0,k15_filter_2(sK18,u1_struct_0(sK18))) ),
inference(superposition,[status(thm)],[c_14298,c_279]) ).
tcf(c_14316,plain,
r2_hidden(k15_filter_2(sK18,u1_struct_0(sK18)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18)))),
inference(forward_subsumption_resolution,[status(thm)],[c_14309,c_129]) ).
tcf(c_14333,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18))),k15_filter_2(sK18,u1_struct_0(sK18))),
inference(superposition,[status(thm)],[c_14316,c_58]) ).
tcf(c_14334,plain,
( m1_subset_1(k15_filter_2(sK18,u1_struct_0(sK18)),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14316,c_10256]) ).
tcf(c_14335,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18)))),
inference(superposition,[status(thm)],[c_14316,c_285]) ).
tcf(c_14339,plain,
( v3_struct_0(sK17)
| m1_subset_1(k15_filter_2(sK17,u1_struct_0(sK17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17))))
| ~ l3_lattices(sK17)
| ~ v10_lattices(sK17)
| ~ m1_subset_1(u1_struct_0(sK17),k1_zfmisc_1(u1_struct_0(sK17))) ),
inference(superposition,[status(thm)],[c_10160,c_95]) ).
tcf(c_14340,plain,
m1_subset_1(k15_filter_2(sK17,u1_struct_0(sK17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17)))),
inference(forward_subsumption_resolution,[status(thm)],[c_14339,c_202,c_201,c_210,c_2898]) ).
tcf(c_14355,plain,
sK11(k1_zfmisc_1(sK23)) = sK23,
inference(superposition,[status(thm)],[c_239,c_13248]) ).
tcf(c_14356,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_13248]) ).
tcf(c_14449,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK17) = X2 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK17) ) ),
inference(superposition,[status(thm)],[c_10110,c_174]) ).
tcf(c_14450,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK17) = X1 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK17) ) ),
inference(superposition,[status(thm)],[c_10110,c_173]) ).
tcf(c_14451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK17) = X0 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK17) ) ),
inference(superposition,[status(thm)],[c_10110,c_172]) ).
tcf(c_14452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK17) = 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) != k1_lattice2(sK17) ) ),
inference(superposition,[status(thm)],[c_10110,c_174]) ).
tcf(c_14453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK17) = 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) != k1_lattice2(sK17) ) ),
inference(superposition,[status(thm)],[c_10110,c_173]) ).
tcf(c_14454,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK17) = 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) != k1_lattice2(sK17) ) ),
inference(superposition,[status(thm)],[c_10110,c_172]) ).
tcf(c_14535,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| r2_hidden(sK23,k1_zfmisc_1(sK23)) ),
inference(superposition,[status(thm)],[c_14355,c_9881]) ).
tcf(c_14536,plain,
m1_subset_1(sK23,k1_zfmisc_1(sK23)),
inference(superposition,[status(thm)],[c_14355,c_121]) ).
tcf(c_14537,plain,
! [X0: $i] :
( ~ v1_xboole_0(sK23)
| ~ r2_hidden(X0,sK23) ),
inference(superposition,[status(thm)],[c_14355,c_9987]) ).
tcf(c_14543,plain,
! [X0: $i] : ~ r2_hidden(X0,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_14537,c_239]) ).
tcf(c_14550,plain,
( v3_struct_0(k1_lattice2(sK17))
| v1_xboole_0(k15_filter_2(sK17,u1_struct_0(sK17)))
| ~ l3_lattices(k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(sK17),k15_filter_2(sK17,u1_struct_0(sK17)))) ),
inference(superposition,[status(thm)],[c_14340,c_125]) ).
tcf(c_14551,plain,
( v3_struct_0(k1_lattice2(sK17))
| ( k7_filter_2(k1_lattice2(sK17),k15_filter_2(sK17,u1_struct_0(sK17))) = k15_filter_2(sK17,u1_struct_0(sK17)) )
| ~ l3_lattices(k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17)) ),
inference(superposition,[status(thm)],[c_14340,c_85]) ).
tcf(c_14552,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17))))
| r2_hidden(k15_filter_2(sK17,u1_struct_0(sK17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17)))) ),
inference(superposition,[status(thm)],[c_14340,c_273]) ).
tcf(c_14553,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17)))
| ~ r2_hidden(X0,k15_filter_2(sK17,u1_struct_0(sK17))) ),
inference(superposition,[status(thm)],[c_14340,c_283]) ).
tcf(c_14554,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK17)))
| ~ r2_hidden(X0,k15_filter_2(sK17,u1_struct_0(sK17))) ),
inference(superposition,[status(thm)],[c_14340,c_279]) ).
tcf(c_14559,plain,
r2_hidden(k15_filter_2(sK17,u1_struct_0(sK17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17)))),
inference(forward_subsumption_resolution,[status(thm)],[c_14552,c_129]) ).
tcf(c_14571,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17))),k15_filter_2(sK17,u1_struct_0(sK17))),
inference(superposition,[status(thm)],[c_14559,c_58]) ).
tcf(c_14572,plain,
( m1_subset_1(k15_filter_2(sK17,u1_struct_0(sK17)),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14559,c_10256]) ).
tcf(c_14573,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17)))),
inference(superposition,[status(thm)],[c_14559,c_285]) ).
tcf(c_14577,plain,
( v3_struct_0(sK16)
| m1_subset_1(k15_filter_2(sK16,u1_struct_0(sK16)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16))))
| ~ l3_lattices(sK16)
| ~ v10_lattices(sK16)
| ~ m1_subset_1(u1_struct_0(sK16),k1_zfmisc_1(u1_struct_0(sK16))) ),
inference(superposition,[status(thm)],[c_10161,c_95]) ).
tcf(c_14578,plain,
m1_subset_1(k15_filter_2(sK16,u1_struct_0(sK16)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16)))),
inference(forward_subsumption_resolution,[status(thm)],[c_14577,c_189,c_188,c_197,c_2898]) ).
tcf(c_14580,plain,
( v3_struct_0(k1_lattice2(sK16))
| v1_xboole_0(k15_filter_2(sK16,u1_struct_0(sK16)))
| ~ l3_lattices(k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(sK16),k15_filter_2(sK16,u1_struct_0(sK16)))) ),
inference(superposition,[status(thm)],[c_14578,c_125]) ).
tcf(c_14581,plain,
( v3_struct_0(k1_lattice2(sK16))
| ( k7_filter_2(k1_lattice2(sK16),k15_filter_2(sK16,u1_struct_0(sK16))) = k15_filter_2(sK16,u1_struct_0(sK16)) )
| ~ l3_lattices(k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16)) ),
inference(superposition,[status(thm)],[c_14578,c_85]) ).
tcf(c_14582,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16))))
| r2_hidden(k15_filter_2(sK16,u1_struct_0(sK16)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16)))) ),
inference(superposition,[status(thm)],[c_14578,c_273]) ).
tcf(c_14583,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16)))
| ~ r2_hidden(X0,k15_filter_2(sK16,u1_struct_0(sK16))) ),
inference(superposition,[status(thm)],[c_14578,c_283]) ).
tcf(c_14584,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(sK16)))
| ~ r2_hidden(X0,k15_filter_2(sK16,u1_struct_0(sK16))) ),
inference(superposition,[status(thm)],[c_14578,c_279]) ).
tcf(c_14589,plain,
r2_hidden(k15_filter_2(sK16,u1_struct_0(sK16)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16)))),
inference(forward_subsumption_resolution,[status(thm)],[c_14582,c_129]) ).
tcf(c_14623,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16))),k15_filter_2(sK16,u1_struct_0(sK16))),
inference(superposition,[status(thm)],[c_14589,c_58]) ).
tcf(c_14624,plain,
( m1_subset_1(k15_filter_2(sK16,u1_struct_0(sK16)),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14589,c_10256]) ).
tcf(c_14625,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16)))),
inference(superposition,[status(thm)],[c_14589,c_285]) ).
tcf(c_14690,plain,
( ( u1_struct_0(sK7) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10585]) ).
tcf(c_14691,plain,
( ( u1_struct_0(sK15) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10585]) ).
tcf(c_14692,plain,
( ( u1_struct_0(sK16) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10585]) ).
tcf(c_14693,plain,
( ( u1_struct_0(sK17) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10585]) ).
tcf(c_14915,plain,
( ( u1_lattices(sK2) = u1_lattices(sK7) )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10642]) ).
tcf(c_14916,plain,
( ( u1_lattices(sK2) = u1_lattices(sK15) )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10642]) ).
tcf(c_14917,plain,
( ( u1_lattices(sK2) = u1_lattices(sK16) )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10642]) ).
tcf(c_14918,plain,
( ( u1_lattices(sK2) = u1_lattices(sK17) )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10642]) ).
tcf(c_14989,plain,
( ( u1_lattices(sK2) = u1_lattices(sK18) )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10642]) ).
tcf(c_14991,plain,
( ( u1_struct_0(sK18) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10585]) ).
tcf(c_14993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK18) = X2 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK18) ) ),
inference(superposition,[status(thm)],[c_10111,c_174]) ).
tcf(c_14994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK18) = X1 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK18) ) ),
inference(superposition,[status(thm)],[c_10111,c_173]) ).
tcf(c_14995,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK18) = X0 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK18) ) ),
inference(superposition,[status(thm)],[c_10111,c_172]) ).
tcf(c_14996,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK18) = 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) != k1_lattice2(sK18) ) ),
inference(superposition,[status(thm)],[c_10111,c_174]) ).
tcf(c_14997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK18) = 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) != k1_lattice2(sK18) ) ),
inference(superposition,[status(thm)],[c_10111,c_173]) ).
tcf(c_14998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK18) = 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) != k1_lattice2(sK18) ) ),
inference(superposition,[status(thm)],[c_10111,c_172]) ).
tcf(c_15121,plain,
( ( u2_lattices(sK31) = u1_lattices(sK2) )
| ~ 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))
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10642]) ).
tcf(c_15123,plain,
( ( u1_struct_0(sK31) = iPr_def_15 )
| ~ 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))
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10585]) ).
tcf(c_15125,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_10231,c_174]) ).
tcf(c_15126,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_10231,c_173]) ).
tcf(c_15127,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_10231,c_172]) ).
tcf(c_15128,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_10231,c_174]) ).
tcf(c_15129,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_10231,c_173]) ).
tcf(c_15130,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_10231,c_172]) ).
tcf(c_15220,plain,
( ( u2_lattices(sK30) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10642]) ).
tcf(c_15222,plain,
( ( u1_struct_0(sK30) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10585]) ).
tcf(c_15224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK30) = X2 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( g3_lattices(X0,X1,X2) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_174]) ).
tcf(c_15225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK30) = X1 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( g3_lattices(X0,X1,X2) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_173]) ).
tcf(c_15226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK30) = X0 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( g3_lattices(X0,X1,X2) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_172]) ).
tcf(c_15227,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK30) = 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) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_174]) ).
tcf(c_15228,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK30) = 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) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_173]) ).
tcf(c_15229,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK30) = 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) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_172]) ).
tcf(c_15342,plain,
( ( u2_lattices(sK27) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10642]) ).
tcf(c_15344,plain,
( ( u1_struct_0(sK27) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10585]) ).
tcf(c_15346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK27) = X2 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( g3_lattices(X0,X1,X2) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_174]) ).
tcf(c_15347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK27) = X1 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( g3_lattices(X0,X1,X2) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_173]) ).
tcf(c_15348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK27) = X0 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( g3_lattices(X0,X1,X2) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_172]) ).
tcf(c_15349,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK27) = 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) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_174]) ).
tcf(c_15350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK27) = 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) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_173]) ).
tcf(c_15351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK27) = 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) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_172]) ).
tcf(c_15455,plain,
( ( u2_lattices(sK18) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10642]) ).
tcf(c_15457,plain,
( ( u1_struct_0(sK18) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10585]) ).
tcf(c_15459,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK18) = X2 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( g3_lattices(X0,X1,X2) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_174]) ).
tcf(c_15460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK18) = X1 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( g3_lattices(X0,X1,X2) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_173]) ).
tcf(c_15461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK18) = X0 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( g3_lattices(X0,X1,X2) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_172]) ).
tcf(c_15462,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK18) = 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) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_174]) ).
tcf(c_15463,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK18) = 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) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_173]) ).
tcf(c_15464,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK18) = 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) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_172]) ).
tcf(c_15611,plain,
( ( u2_lattices(sK17) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10642]) ).
tcf(c_15613,plain,
( ( u1_struct_0(sK17) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10585]) ).
tcf(c_15615,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK17) = X2 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( g3_lattices(X0,X1,X2) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_174]) ).
tcf(c_15616,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK17) = X1 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( g3_lattices(X0,X1,X2) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_173]) ).
tcf(c_15617,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK17) = X0 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( g3_lattices(X0,X1,X2) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_172]) ).
tcf(c_15618,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK17) = 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) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_174]) ).
tcf(c_15619,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK17) = 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) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_173]) ).
tcf(c_15620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK17) = 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) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_172]) ).
tcf(c_15786,plain,
( ( u2_lattices(sK16) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10642]) ).
tcf(c_15788,plain,
( ( u1_struct_0(sK16) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10585]) ).
tcf(c_15790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK16) = X2 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( g3_lattices(X0,X1,X2) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_174]) ).
tcf(c_15791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK16) = X1 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( g3_lattices(X0,X1,X2) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_173]) ).
tcf(c_15792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK16) = X0 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( g3_lattices(X0,X1,X2) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_172]) ).
tcf(c_15793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK16) = 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) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_174]) ).
tcf(c_15794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK16) = 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) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_173]) ).
tcf(c_15795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK16) = 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) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_172]) ).
tcf(c_15932,plain,
( ( u2_lattices(sK15) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10642]) ).
tcf(c_15934,plain,
( ( u1_struct_0(sK15) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10585]) ).
tcf(c_15936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK15) = X2 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( g3_lattices(X0,X1,X2) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_174]) ).
tcf(c_15937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK15) = X1 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( g3_lattices(X0,X1,X2) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_173]) ).
tcf(c_15938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK15) = X0 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( g3_lattices(X0,X1,X2) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_172]) ).
tcf(c_15939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK15) = 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) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_174]) ).
tcf(c_15940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK15) = 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) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_173]) ).
tcf(c_15941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK15) = 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) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_172]) ).
tcf(c_16339,plain,
( ( u2_lattices(sK2) = u2_lattices(sK18) )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10809]) ).
tcf(c_16340,plain,
( ( u2_lattices(sK2) = u1_lattices(sK18) )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10809]) ).
tcf(c_16341,plain,
( ( u2_lattices(sK2) = u1_lattices(sK15) )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10809]) ).
tcf(c_16342,plain,
( ( u2_lattices(sK2) = u1_lattices(sK16) )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10809]) ).
tcf(c_16343,plain,
( ( u2_lattices(sK2) = u1_lattices(sK17) )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10809]) ).
tcf(c_16344,plain,
( ( u2_lattices(sK2) = u1_lattices(sK27) )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10809]) ).
tcf(c_16345,plain,
( ( u2_lattices(sK2) = u1_lattices(sK30) )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10809]) ).
tcf(c_16346,plain,
( ( u2_lattices(sK2) = u1_lattices(sK31) )
| ~ 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))
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10809]) ).
tcf(c_16347,plain,
( ( u2_lattices(sK2) = u2_lattices(sK7) )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10809]) ).
tcf(c_16348,plain,
( ( u2_lattices(sK2) = u2_lattices(sK15) )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10809]) ).
tcf(c_16349,plain,
( ( u2_lattices(sK2) = u2_lattices(sK16) )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10809]) ).
tcf(c_16350,plain,
( ( u2_lattices(sK2) = u2_lattices(sK17) )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10809]) ).
tcf(c_16661,plain,
( ( u1_struct_0(sK18) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10583]) ).
tcf(c_16662,plain,
( ( u1_struct_0(sK18) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10583]) ).
tcf(c_16663,plain,
( ( u1_struct_0(sK15) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10583]) ).
tcf(c_16664,plain,
( ( u1_struct_0(sK16) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10583]) ).
tcf(c_16665,plain,
( ( u1_struct_0(sK17) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10583]) ).
tcf(c_16666,plain,
( ( u1_struct_0(sK27) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10583]) ).
tcf(c_16667,plain,
( ( u1_struct_0(sK30) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10583]) ).
tcf(c_16668,plain,
( ( u1_struct_0(sK31) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10583]) ).
tcf(c_16669,plain,
( ( u1_struct_0(sK7) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10583]) ).
tcf(c_16670,plain,
( ( u1_struct_0(sK15) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10583]) ).
tcf(c_16671,plain,
( ( u1_struct_0(sK16) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10583]) ).
tcf(c_16672,plain,
( ( u1_struct_0(sK17) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10583]) ).
tcf(c_16980,plain,
( ( u1_lattices(sK2) = u1_lattices(sK18) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10640]) ).
tcf(c_16981,plain,
( ( u2_lattices(sK18) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10640]) ).
tcf(c_16982,plain,
( ( u2_lattices(sK15) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10640]) ).
tcf(c_16983,plain,
( ( u2_lattices(sK16) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10640]) ).
tcf(c_16984,plain,
( ( u2_lattices(sK17) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10640]) ).
tcf(c_16985,plain,
( ( u2_lattices(sK27) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10640]) ).
tcf(c_16986,plain,
( ( u2_lattices(sK30) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10640]) ).
tcf(c_16987,plain,
( ( u2_lattices(sK31) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10640]) ).
tcf(c_16988,plain,
( ( u1_lattices(sK2) = u1_lattices(sK7) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10640]) ).
tcf(c_16989,plain,
( ( u1_lattices(sK2) = u1_lattices(sK15) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10640]) ).
tcf(c_16990,plain,
( ( u1_lattices(sK2) = u1_lattices(sK16) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10640]) ).
tcf(c_16991,plain,
( ( u1_lattices(sK2) = u1_lattices(sK17) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10640]) ).
tcf(c_17117,plain,
( ( u1_lattices(sK2) = u1_lattices(sK27) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10640]) ).
tcf(c_17119,plain,
( ( u1_struct_0(sK27) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10583]) ).
tcf(c_17121,plain,
( ( u2_lattices(sK2) = u2_lattices(sK27) )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10809]) ).
tcf(c_17123,plain,
( ( u1_lattices(sK2) = u1_lattices(sK27) )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10642]) ).
tcf(c_17125,plain,
( ( u1_struct_0(sK27) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10585]) ).
tcf(c_17127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK27) = X2 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK27) ) ),
inference(superposition,[status(thm)],[c_10112,c_174]) ).
tcf(c_17128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK27) = X1 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK27) ) ),
inference(superposition,[status(thm)],[c_10112,c_173]) ).
tcf(c_17129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK27) = X0 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK27) ) ),
inference(superposition,[status(thm)],[c_10112,c_172]) ).
tcf(c_17130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK27) = 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) != k1_lattice2(sK27) ) ),
inference(superposition,[status(thm)],[c_10112,c_174]) ).
tcf(c_17131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK27) = 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) != k1_lattice2(sK27) ) ),
inference(superposition,[status(thm)],[c_10112,c_173]) ).
tcf(c_17132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK27) = 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) != k1_lattice2(sK27) ) ),
inference(superposition,[status(thm)],[c_10112,c_172]) ).
tcf(c_17327,plain,
( m1_subset_1(sK23,iPr_def_15)
| v1_xboole_0(k1_zfmisc_1(sK23))
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14355,c_11323]) ).
tcf(c_17329,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_15)
| v1_xboole_0(X0)
| r2_hidden(sK11(X0),iPr_def_15)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11323,c_273]) ).
tcf(c_17330,plain,
( m1_subset_1(sK23,iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17327,c_129]) ).
tcf(c_17333,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK11(X0),iPr_def_15)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17329,c_12976]) ).
tcf(c_17360,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| r2_hidden(sK23,iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14355,c_17333]) ).
tcf(c_17362,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK11(X0)) ),
inference(superposition,[status(thm)],[c_17333,c_58]) ).
tcf(c_17363,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_15)
| ~ m1_subset_1(iPr_def_15,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_17333,c_10256]) ).
tcf(c_17369,plain,
( r2_hidden(sK23,iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17360,c_129]) ).
tcf(c_17386,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| ~ r2_hidden(iPr_def_15,sK23)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14355,c_17362]) ).
tcf(c_17624,plain,
( ( u2_lattices(sK2) = u2_lattices(sK18) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10807]) ).
tcf(c_17625,plain,
( ( u2_lattices(sK2) = u1_lattices(sK18) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10807]) ).
tcf(c_17626,plain,
( ( u2_lattices(sK2) = u1_lattices(sK15) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10807]) ).
tcf(c_17627,plain,
( ( u2_lattices(sK2) = u1_lattices(sK16) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10807]) ).
tcf(c_17628,plain,
( ( u2_lattices(sK2) = u1_lattices(sK17) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10807]) ).
tcf(c_17629,plain,
( ( u2_lattices(sK2) = u1_lattices(sK27) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10807]) ).
tcf(c_17630,plain,
( ( u2_lattices(sK2) = u1_lattices(sK30) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10807]) ).
tcf(c_17631,plain,
( ( u2_lattices(sK2) = u1_lattices(sK31) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10807]) ).
tcf(c_17632,plain,
( ( u2_lattices(sK2) = u2_lattices(sK7) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10807]) ).
tcf(c_17633,plain,
( ( u2_lattices(sK2) = u2_lattices(sK15) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10807]) ).
tcf(c_17634,plain,
( ( u2_lattices(sK2) = u2_lattices(sK16) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10807]) ).
tcf(c_17635,plain,
( ( u2_lattices(sK2) = u2_lattices(sK17) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10807]) ).
tcf(c_17636,plain,
( ( u2_lattices(sK2) = u2_lattices(sK27) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10807]) ).
tcf(c_17779,plain,
( ( u2_lattices(sK2) = u2_lattices(sK30) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10807]) ).
tcf(c_17781,plain,
( ( u1_lattices(sK2) = u1_lattices(sK30) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10640]) ).
tcf(c_17783,plain,
( ( u1_struct_0(sK30) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10583]) ).
tcf(c_17785,plain,
( ( u2_lattices(sK2) = u2_lattices(sK30) )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10809]) ).
tcf(c_17787,plain,
( ( u1_lattices(sK2) = u1_lattices(sK30) )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10642]) ).
tcf(c_17789,plain,
( ( u1_struct_0(sK30) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10585]) ).
tcf(c_17791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK30) = X2 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK30) ) ),
inference(superposition,[status(thm)],[c_10113,c_174]) ).
tcf(c_17792,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK30) = X1 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK30) ) ),
inference(superposition,[status(thm)],[c_10113,c_173]) ).
tcf(c_17793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK30) = X0 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK30) ) ),
inference(superposition,[status(thm)],[c_10113,c_172]) ).
tcf(c_17794,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK30) = 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) != k1_lattice2(sK30) ) ),
inference(superposition,[status(thm)],[c_10113,c_174]) ).
tcf(c_17795,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK30) = 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) != k1_lattice2(sK30) ) ),
inference(superposition,[status(thm)],[c_10113,c_173]) ).
tcf(c_17796,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK30) = 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) != k1_lattice2(sK30) ) ),
inference(superposition,[status(thm)],[c_10113,c_172]) ).
tcf(c_18051,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK11(sK29(sK28)),iPr_def_15)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_13423,c_273]) ).
tcf(c_18052,plain,
( r2_hidden(sK11(sK29(sK28)),iPr_def_15)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18051,c_12976]) ).
tcf(c_18063,plain,
( ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK11(sK29(sK28))) ),
inference(superposition,[status(thm)],[c_18052,c_58]) ).
tcf(c_18064,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_15)
| ~ m1_subset_1(iPr_def_15,iPr_def_20)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18052,c_10256]) ).
tcf(c_18385,plain,
( ( u2_lattices(sK2) = u2_lattices(sK31) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10807]) ).
tcf(c_18387,plain,
( ( u1_lattices(sK2) = u1_lattices(sK31) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10640]) ).
tcf(c_18389,plain,
( ( u1_struct_0(sK31) = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10583]) ).
tcf(c_18391,plain,
( ( u2_lattices(sK2) = u2_lattices(sK31) )
| ~ 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))
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10809]) ).
tcf(c_18393,plain,
( ( u1_lattices(sK2) = u1_lattices(sK31) )
| ~ 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))
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10642]) ).
tcf(c_18395,plain,
( ( u1_struct_0(sK31) = iPr_def_15 )
| ~ 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))
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10585]) ).
tcf(c_18397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_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) != k1_lattice2(sK31) ) ),
inference(superposition,[status(thm)],[c_10114,c_174]) ).
tcf(c_18398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_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) != k1_lattice2(sK31) ) ),
inference(superposition,[status(thm)],[c_10114,c_173]) ).
tcf(c_18399,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) != k1_lattice2(sK31) ) ),
inference(superposition,[status(thm)],[c_10114,c_172]) ).
tcf(c_18400,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_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) != k1_lattice2(sK31) ) ),
inference(superposition,[status(thm)],[c_10114,c_174]) ).
tcf(c_18401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_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) != k1_lattice2(sK31) ) ),
inference(superposition,[status(thm)],[c_10114,c_173]) ).
tcf(c_18402,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) != k1_lattice2(sK31) ) ),
inference(superposition,[status(thm)],[c_10114,c_172]) ).
tcf(c_18628,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK29(sK2),k1_zfmisc_1(iPr_def_15))
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_10167,c_3529]) ).
tcf(c_18630,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK29(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK29(X0))) ),
inference(superposition,[status(thm)],[c_3529,c_125]) ).
tcf(c_18631,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK29(X0)) = sK29(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_3529,c_85]) ).
tcf(c_18632,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK29(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_3529,c_273]) ).
tcf(c_18633,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,sK29(X1)) ),
inference(superposition,[status(thm)],[c_3529,c_283]) ).
tcf(c_18634,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ r2_hidden(X0,sK29(X1)) ),
inference(superposition,[status(thm)],[c_3529,c_279]) ).
tcf(c_18637,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK29(sK2),iPr_def_20)
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_18628,c_10166]) ).
tcf(c_18638,plain,
m1_subset_1(sK29(sK2),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_18637,c_7369,c_7367]) ).
tcf(c_18647,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(sK29(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18632,c_129]) ).
tcf(c_18678,plain,
( v1_xboole_0(iPr_def_20)
| r2_hidden(sK29(sK2),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18638,c_273]) ).
tcf(c_18680,plain,
k7_filter_2(sK2,sK29(sK2)) = sK29(sK2),
inference(superposition,[status(thm)],[c_18638,c_10296]) ).
tcf(c_18681,plain,
r2_hidden(sK29(sK2),iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_18678,c_9504]) ).
tcf(c_18699,plain,
~ r2_hidden(iPr_def_20,sK29(sK2)),
inference(superposition,[status(thm)],[c_18681,c_58]) ).
tcf(c_18701,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18681,c_10256]) ).
tcf(c_18708,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_18680,c_95]) ).
tcf(c_18779,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK14(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_9881,c_11958]) ).
tcf(c_19436,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18701,c_273]) ).
tcf(c_19437,plain,
( r2_hidden(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19436,c_12976]) ).
tcf(c_19466,plain,
( ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_19437,c_58]) ).
tcf(c_19758,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK14(X0,X1))
| m1_subset_1(sK11(sK14(X0,X1)),k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_9881,c_11959]) ).
tcf(c_19768,plain,
( v3_struct_0(sK5)
| v1_xboole_0(sK29(sK5))
| m1_subset_1(sK11(sK29(sK5)),u1_struct_0(sK5)) ),
inference(superposition,[status(thm)],[c_9881,c_11980]) ).
tcf(c_19778,plain,
( v3_struct_0(sK4)
| v1_xboole_0(sK29(sK4))
| m1_subset_1(sK11(sK29(sK4)),u1_struct_0(sK4)) ),
inference(superposition,[status(thm)],[c_9881,c_12009]) ).
tcf(c_19796,plain,
( m1_subset_1(sK11(sK23),sK23)
| v1_xboole_0(sK11(k1_zfmisc_1(sK23))) ),
inference(superposition,[status(thm)],[c_14355,c_13095]) ).
tcf(c_19798,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_15)))
| m1_subset_1(sK11(sK11(iPr_def_20)),iPr_def_15) ),
inference(superposition,[status(thm)],[c_10166,c_13095]) ).
tcf(c_19800,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK11(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| v1_xboole_0(sK11(sK11(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK11(sK11(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))) ),
inference(superposition,[status(thm)],[c_13095,c_125]) ).
tcf(c_19801,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK11(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ( k7_filter_2(X0,sK11(sK11(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))) = sK11(sK11(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_13095,c_85]) ).
tcf(c_19802,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK11(k1_zfmisc_1(X0)))
| r2_hidden(sK11(sK11(k1_zfmisc_1(X0))),X0) ),
inference(superposition,[status(thm)],[c_13095,c_273]) ).
tcf(c_19803,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(k1_zfmisc_1(X1))))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(k1_zfmisc_1(X1))))) ),
inference(superposition,[status(thm)],[c_13095,c_283]) ).
tcf(c_19804,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| v1_xboole_0(sK11(k1_zfmisc_1(k1_zfmisc_1(X1))))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(k1_zfmisc_1(X1))))) ),
inference(superposition,[status(thm)],[c_13095,c_279]) ).
tcf(c_19807,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_13095,c_10296]) ).
tcf(c_19808,plain,
( v1_xboole_0(sK23)
| m1_subset_1(sK11(sK23),sK23) ),
inference(light_normalisation,[status(thm)],[c_19796,c_14355]) ).
tcf(c_19871,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19807,c_13248]) ).
tcf(c_19872,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19807,c_9811]) ).
tcf(c_19873,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = X0 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19807,c_286]) ).
tcf(c_19874,plain,
( v1_funct_1(sK11(k1_zfmisc_1(iPr_def_20)))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19807,c_59]) ).
tcf(c_20014,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_19872,c_95]) ).
tcf(c_20061,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_19871,c_95]) ).
tcf(c_20083,plain,
( v3_struct_0(sK6)
| v1_xboole_0(sK29(sK6))
| m1_subset_1(sK11(sK29(sK6)),u1_struct_0(sK6)) ),
inference(superposition,[status(thm)],[c_9881,c_12321]) ).
tcf(c_20110,plain,
( v3_struct_0(sK2)
| r2_hidden(sK29(sK2),k1_zfmisc_1(iPr_def_15))
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_10167,c_18647]) ).
tcf(c_20112,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK29(X0)) ),
inference(superposition,[status(thm)],[c_18647,c_58]) ).
tcf(c_20114,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK29(X0),iPr_def_15)
| ~ l3_lattices(X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18647,c_10256]) ).
tcf(c_20115,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_18647,c_285]) ).
tcf(c_20118,plain,
( v3_struct_0(sK2)
| r2_hidden(sK29(sK2),iPr_def_20)
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_20110,c_10166]) ).
tcf(c_20160,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(sK21(X0)),X0) ),
inference(global_subsumption_just,[status(thm)],[c_13978,c_236,c_13978]) ).
tcf(c_20167,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK11(sK21(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK11(sK21(k1_zfmisc_1(u1_struct_0(X0)))))) ),
inference(superposition,[status(thm)],[c_20160,c_125]) ).
tcf(c_20168,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ( k7_filter_2(X0,sK11(sK21(k1_zfmisc_1(u1_struct_0(X0))))) = sK11(sK21(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_20160,c_85]) ).
tcf(c_20169,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK11(sK21(X0)),X0) ),
inference(superposition,[status(thm)],[c_20160,c_273]) ).
tcf(c_20170,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK11(sK21(k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_20160,c_283]) ).
tcf(c_20171,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k1_zfmisc_1(X1))
| m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK11(sK21(k1_zfmisc_1(X1)))) ),
inference(superposition,[status(thm)],[c_20160,c_279]) ).
tcf(c_20174,plain,
( v1_xboole_0(iPr_def_20)
| ( k7_filter_2(sK2,sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)) ) ),
inference(superposition,[status(thm)],[c_20160,c_10296]) ).
tcf(c_20177,plain,
k7_filter_2(sK2,sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)),
inference(forward_subsumption_resolution,[status(thm)],[c_20174,c_9504]) ).
tcf(c_20179,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK11(sK21(k1_zfmisc_1(X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20171,c_129]) ).
tcf(c_20182,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK11(sK21(k1_zfmisc_1(X1)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20170,c_129]) ).
tcf(c_20186,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK11(sK21(k1_zfmisc_1(u1_struct_0(X0))))) = sK11(sK21(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20168,c_129]) ).
tcf(c_20191,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK11(sK21(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK11(sK21(k1_zfmisc_1(u1_struct_0(X0)))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20167,c_129]) ).
tcf(c_20234,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK11(sK21(X0))) ),
inference(superposition,[status(thm)],[c_20169,c_58]) ).
tcf(c_20236,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(sK21(X0)),iPr_def_15)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_20169,c_10256]) ).
tcf(c_20240,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(X0)))
| m1_subset_1(sK11(sK21(sK11(k1_zfmisc_1(X0)))),X0) ),
inference(superposition,[status(thm)],[c_20169,c_9959]) ).
tcf(c_20241,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK21(X0))
| m1_subset_1(sK11(sK21(sK21(X0))),X0) ),
inference(superposition,[status(thm)],[c_20169,c_9960]) ).
tcf(c_20243,plain,
( v1_xboole_0(sK29(sK28))
| m1_subset_1(sK11(sK21(sK29(sK28))),u1_struct_0(sK28)) ),
inference(superposition,[status(thm)],[c_20169,c_10856]) ).
tcf(c_20245,plain,
( v1_xboole_0(sK11(iPr_def_20))
| m1_subset_1(sK11(sK21(sK11(iPr_def_20))),iPr_def_15) ),
inference(superposition,[status(thm)],[c_20169,c_13097]) ).
tcf(c_20246,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK14(X0,X1))
| m1_subset_1(sK11(sK21(sK14(X0,X1))),k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_20169,c_11959]) ).
tcf(c_20248,plain,
( v3_struct_0(sK5)
| v1_xboole_0(sK29(sK5))
| m1_subset_1(sK11(sK21(sK29(sK5))),u1_struct_0(sK5)) ),
inference(superposition,[status(thm)],[c_20169,c_11980]) ).
tcf(c_20249,plain,
( v3_struct_0(sK4)
| v1_xboole_0(sK29(sK4))
| m1_subset_1(sK11(sK21(sK29(sK4))),u1_struct_0(sK4)) ),
inference(superposition,[status(thm)],[c_20169,c_12009]) ).
tcf(c_20250,plain,
( v3_struct_0(sK6)
| v1_xboole_0(sK29(sK6))
| m1_subset_1(sK11(sK21(sK29(sK6))),u1_struct_0(sK6)) ),
inference(superposition,[status(thm)],[c_20169,c_12321]) ).
tcf(c_20257,plain,
m1_subset_1(sK11(sK21(sK29(sK28))),u1_struct_0(sK28)),
inference(forward_subsumption_resolution,[status(thm)],[c_20243,c_3578]) ).
tcf(c_20363,plain,
( v1_xboole_0(u1_struct_0(sK28))
| r2_hidden(sK11(sK21(sK29(sK28))),u1_struct_0(sK28)) ),
inference(superposition,[status(thm)],[c_20257,c_273]) ).
tcf(c_20364,plain,
r2_hidden(sK11(sK21(sK29(sK28))),u1_struct_0(sK28)),
inference(forward_subsumption_resolution,[status(thm)],[c_20363,c_3592]) ).
tcf(c_20365,plain,
~ r2_hidden(u1_struct_0(sK28),sK11(sK21(sK29(sK28)))),
inference(superposition,[status(thm)],[c_20364,c_58]) ).
tcf(c_20367,plain,
( m1_subset_1(sK11(sK21(sK29(sK28))),iPr_def_15)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_20364,c_10256]) ).
tcf(c_20404,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_20177,c_95]) ).
tcf(c_20540,plain,
! [X0: $i] :
( v1_xboole_0(sK11(sK21(k1_zfmisc_1(X0))))
| m1_subset_1(sK11(sK11(sK21(k1_zfmisc_1(X0)))),X0) ),
inference(superposition,[status(thm)],[c_9881,c_20179]) ).
tcf(c_20541,plain,
! [X0: $i] :
( v1_xboole_0(sK11(sK21(k1_zfmisc_1(X0))))
| m1_subset_1(sK11(sK21(sK11(sK21(k1_zfmisc_1(X0))))),X0) ),
inference(superposition,[status(thm)],[c_20169,c_20179]) ).
tcf(c_20543,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_15)
| ~ r2_hidden(X0,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_10166,c_20179]) ).
tcf(c_20565,plain,
! [X0: $i] :
( v1_xboole_0(sK11(sK21(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_9881,c_20182]) ).
tcf(c_20611,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_13248]) ).
tcf(c_20612,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(X0))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_9811]) ).
tcf(c_20613,plain,
! [X0: $i,X1: $i] :
( ( sK11(sK21(k1_zfmisc_1(X0))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_286]) ).
tcf(c_20614,plain,
! [X0: $i] :
( v1_funct_1(sK11(sK21(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_59]) ).
tcf(c_20718,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| m1_subset_1(sK11(sK11(sK21(iPr_def_20))),iPr_def_15) ),
inference(superposition,[status(thm)],[c_9881,c_20543]) ).
tcf(c_20719,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| m1_subset_1(sK11(sK21(sK11(sK21(iPr_def_20)))),iPr_def_15) ),
inference(superposition,[status(thm)],[c_20169,c_20543]) ).
tcf(c_20907,plain,
( v1_xboole_0(iPr_def_15)
| v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK21(sK11(iPr_def_20))),iPr_def_15) ),
inference(superposition,[status(thm)],[c_20245,c_273]) ).
tcf(c_20908,plain,
( v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK21(sK11(iPr_def_20))),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20907,c_12976]) ).
tcf(c_20951,plain,
( v1_xboole_0(sK11(iPr_def_20))
| ~ r2_hidden(iPr_def_15,sK11(sK21(sK11(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_20908,c_58]) ).
tcf(c_21461,plain,
( v3_struct_0(sK18)
| ~ l3_lattices(sK18)
| ~ v10_lattices(sK18)
| ~ v1_xboole_0(u1_struct_0(sK18)) ),
inference(superposition,[status(thm)],[c_10141,c_4489]) ).
tcf(c_21462,plain,
( v3_struct_0(sK15)
| ~ l3_lattices(sK15)
| ~ v10_lattices(sK15)
| ~ v1_xboole_0(u1_struct_0(sK15)) ),
inference(superposition,[status(thm)],[c_10144,c_4489]) ).
tcf(c_21463,plain,
( v3_struct_0(sK16)
| ~ l3_lattices(sK16)
| ~ v10_lattices(sK16)
| ~ v1_xboole_0(u1_struct_0(sK16)) ),
inference(superposition,[status(thm)],[c_10143,c_4489]) ).
tcf(c_21464,plain,
( v3_struct_0(sK17)
| ~ l3_lattices(sK17)
| ~ v10_lattices(sK17)
| ~ v1_xboole_0(u1_struct_0(sK17)) ),
inference(superposition,[status(thm)],[c_10142,c_4489]) ).
tcf(c_21465,plain,
( v3_struct_0(sK31)
| ~ l3_lattices(sK31)
| ~ v10_lattices(sK31)
| ~ v1_xboole_0(u1_struct_0(sK31)) ),
inference(superposition,[status(thm)],[c_10140,c_4489]) ).
tcf(c_21467,plain,
~ v1_xboole_0(u1_struct_0(sK31)),
inference(forward_subsumption_resolution,[status(thm)],[c_21465,c_256,c_255,c_264]) ).
tcf(c_21468,plain,
~ v1_xboole_0(u1_struct_0(sK17)),
inference(forward_subsumption_resolution,[status(thm)],[c_21464,c_202,c_201,c_210]) ).
tcf(c_21469,plain,
~ v1_xboole_0(u1_struct_0(sK16)),
inference(forward_subsumption_resolution,[status(thm)],[c_21463,c_189,c_188,c_197]) ).
tcf(c_21470,plain,
~ v1_xboole_0(u1_struct_0(sK15)),
inference(forward_subsumption_resolution,[status(thm)],[c_21462,c_176,c_175,c_184]) ).
tcf(c_21471,plain,
~ v1_xboole_0(u1_struct_0(sK18)),
inference(forward_subsumption_resolution,[status(thm)],[c_21461,c_216,c_215,c_224]) ).
tcf(c_21888,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(X0)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_19873]) ).
tcf(c_21892,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(X0))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_19873]) ).
tcf(c_22044,plain,
( v1_xboole_0(k15_filter_2(sK15,u1_struct_0(sK15)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_9881,c_13223]) ).
tcf(c_22052,plain,
( v1_xboole_0(k15_filter_2(sK15,u1_struct_0(sK15)))
| m1_subset_1(sK11(k15_filter_2(sK15,u1_struct_0(sK15))),u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_9881,c_13224]) ).
tcf(c_22053,plain,
( v1_xboole_0(k15_filter_2(sK15,u1_struct_0(sK15)))
| m1_subset_1(sK11(sK21(k15_filter_2(sK15,u1_struct_0(sK15)))),u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_20169,c_13224]) ).
tcf(c_22275,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK23)) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_239,c_13249]) ).
tcf(c_22276,plain,
! [X0: $i,X1: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_13249]) ).
tcf(c_22279,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = X0 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19807,c_13249]) ).
tcf(c_22280,plain,
! [X0: $i,X1: $i] :
( ( sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_13249]) ).
tcf(c_22317,plain,
( v1_xboole_0(k15_filter_2(sK31,u1_struct_0(sK31)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_9881,c_14191]) ).
tcf(c_22328,plain,
( v1_xboole_0(k15_filter_2(sK31,u1_struct_0(sK31)))
| m1_subset_1(sK11(k15_filter_2(sK31,u1_struct_0(sK31))),u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_9881,c_14192]) ).
tcf(c_22329,plain,
( v1_xboole_0(k15_filter_2(sK31,u1_struct_0(sK31)))
| m1_subset_1(sK11(sK21(k15_filter_2(sK31,u1_struct_0(sK31)))),u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_20169,c_14192]) ).
tcf(c_22349,plain,
( v1_xboole_0(k15_filter_2(sK18,u1_struct_0(sK18)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_9881,c_14310]) ).
tcf(c_22406,plain,
sK11(sK21(k1_zfmisc_1(sK23))) = sK23,
inference(superposition,[status(thm)],[c_239,c_20612]) ).
tcf(c_22407,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(X0))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_20612]) ).
tcf(c_22410,plain,
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19807,c_20612]) ).
tcf(c_22411,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0)))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_20612]) ).
tcf(c_22448,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ r2_hidden(iPr_def_15,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22406,c_17362]) ).
tcf(c_22449,plain,
( r2_hidden(sK23,iPr_def_15)
| v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22406,c_17333]) ).
tcf(c_22450,plain,
( m1_subset_1(sK23,iPr_def_15)
| v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22406,c_11323]) ).
tcf(c_22451,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ r2_hidden(sK21(k1_zfmisc_1(sK23)),sK23) ),
inference(superposition,[status(thm)],[c_22406,c_11000]) ).
tcf(c_22452,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| r2_hidden(sK23,sK21(k1_zfmisc_1(sK23))) ),
inference(superposition,[status(thm)],[c_22406,c_9881]) ).
tcf(c_22453,plain,
m1_subset_1(sK23,sK21(k1_zfmisc_1(sK23))),
inference(superposition,[status(thm)],[c_22406,c_121]) ).
tcf(c_22454,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| ~ r2_hidden(k1_zfmisc_1(sK23),sK23) ),
inference(superposition,[status(thm)],[c_22406,c_20234]) ).
tcf(c_22456,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| m1_subset_1(sK23,k1_zfmisc_1(sK23)) ),
inference(superposition,[status(thm)],[c_22406,c_20160]) ).
tcf(c_22552,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(iPr_def_15,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22410,c_17362]) ).
tcf(c_22553,plain,
( r2_hidden(sK23,iPr_def_15)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22410,c_17333]) ).
tcf(c_22554,plain,
( m1_subset_1(sK23,iPr_def_15)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22410,c_11323]) ).
tcf(c_22555,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),sK23) ),
inference(superposition,[status(thm)],[c_22410,c_11000]) ).
tcf(c_22556,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| r2_hidden(sK23,sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22410,c_9881]) ).
tcf(c_22557,plain,
( m1_subset_1(sK23,sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22410,c_121]) ).
tcf(c_22558,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))),sK23) ),
inference(superposition,[status(thm)],[c_22410,c_20234]) ).
tcf(c_22559,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| r2_hidden(sK23,k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22410,c_20169]) ).
tcf(c_22560,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| m1_subset_1(sK23,k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22410,c_20160]) ).
tcf(c_22649,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(X0)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_22279]) ).
tcf(c_22652,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19807,c_22279]) ).
tcf(c_22653,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK21(k1_zfmisc_1(X0))) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_22279]) ).
tcf(c_22671,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_22652,c_95]) ).
tcf(c_22791,plain,
( v1_xboole_0(k15_filter_2(sK18,u1_struct_0(sK18)))
| m1_subset_1(sK11(k15_filter_2(sK18,u1_struct_0(sK18))),u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_9881,c_14311]) ).
tcf(c_22792,plain,
( v1_xboole_0(k15_filter_2(sK18,u1_struct_0(sK18)))
| m1_subset_1(sK11(sK21(k15_filter_2(sK18,u1_struct_0(sK18)))),u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_20169,c_14311]) ).
tcf(c_22820,plain,
( v1_xboole_0(k15_filter_2(sK17,u1_struct_0(sK17)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_9881,c_14553]) ).
tcf(c_22828,plain,
( v1_xboole_0(k15_filter_2(sK17,u1_struct_0(sK17)))
| m1_subset_1(sK11(k15_filter_2(sK17,u1_struct_0(sK17))),u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_9881,c_14554]) ).
tcf(c_22829,plain,
( v1_xboole_0(k15_filter_2(sK17,u1_struct_0(sK17)))
| m1_subset_1(sK11(sK21(k15_filter_2(sK17,u1_struct_0(sK17)))),u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_20169,c_14554]) ).
tcf(c_22881,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| m1_subset_1(sK23,k1_zfmisc_1(sK23))
| v1_xboole_0(sK21(k1_zfmisc_1(sK23))) ),
inference(superposition,[status(thm)],[c_22452,c_9960]) ).
tcf(c_22887,plain,
( v1_xboole_0(iPr_def_15)
| v1_xboole_0(sK11(sK21(iPr_def_20)))
| r2_hidden(sK11(sK11(sK21(iPr_def_20))),iPr_def_15) ),
inference(superposition,[status(thm)],[c_20718,c_273]) ).
tcf(c_22888,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| r2_hidden(sK11(sK11(sK21(iPr_def_20))),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22887,c_12976]) ).
tcf(c_22906,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = k15_filter_2(sK15,u1_struct_0(sK15)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_22279]) ).
tcf(c_22907,plain,
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK15,u1_struct_0(sK15))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_20612]) ).
tcf(c_22908,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(k15_filter_2(sK15,u1_struct_0(sK15)))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_13249]) ).
tcf(c_22909,plain,
( ( k15_filter_2(sK15,u1_struct_0(sK15)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_19873]) ).
tcf(c_22910,plain,
( ( sK11(k1_zfmisc_1(k15_filter_2(sK15,u1_struct_0(sK15)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_13248]) ).
tcf(c_22911,plain,
( ( k15_filter_2(sK15,u1_struct_0(sK15)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_9811]) ).
tcf(c_22912,plain,
! [X0: $i] :
( ( k15_filter_2(sK15,u1_struct_0(sK15)) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_286]) ).
tcf(c_22913,plain,
( v1_funct_1(k15_filter_2(sK15,u1_struct_0(sK15)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_59]) ).
tcf(c_22960,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| ~ r2_hidden(iPr_def_15,sK11(sK11(sK21(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22888,c_58]) ).
tcf(c_23247,plain,
( v1_xboole_0(k15_filter_2(sK16,u1_struct_0(sK16)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_9881,c_14583]) ).
tcf(c_23255,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = k15_filter_2(sK31,u1_struct_0(sK31)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_22279]) ).
tcf(c_23256,plain,
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK31,u1_struct_0(sK31))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_20612]) ).
tcf(c_23257,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(k15_filter_2(sK31,u1_struct_0(sK31)))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_13249]) ).
tcf(c_23258,plain,
( ( k15_filter_2(sK31,u1_struct_0(sK31)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_19873]) ).
tcf(c_23259,plain,
( ( sK11(k1_zfmisc_1(k15_filter_2(sK31,u1_struct_0(sK31)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_13248]) ).
tcf(c_23260,plain,
( ( k15_filter_2(sK31,u1_struct_0(sK31)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_9811]) ).
tcf(c_23261,plain,
! [X0: $i] :
( ( k15_filter_2(sK31,u1_struct_0(sK31)) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_286]) ).
tcf(c_23262,plain,
( v1_funct_1(k15_filter_2(sK31,u1_struct_0(sK31)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_59]) ).
tcf(c_23305,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = k15_filter_2(sK18,u1_struct_0(sK18)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_22279]) ).
tcf(c_23306,plain,
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK18,u1_struct_0(sK18))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_20612]) ).
tcf(c_23307,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(k15_filter_2(sK18,u1_struct_0(sK18)))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_13249]) ).
tcf(c_23308,plain,
( ( k15_filter_2(sK18,u1_struct_0(sK18)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_19873]) ).
tcf(c_23309,plain,
( ( sK11(k1_zfmisc_1(k15_filter_2(sK18,u1_struct_0(sK18)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_13248]) ).
tcf(c_23310,plain,
( ( k15_filter_2(sK18,u1_struct_0(sK18)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_9811]) ).
tcf(c_23311,plain,
! [X0: $i] :
( ( k15_filter_2(sK18,u1_struct_0(sK18)) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_286]) ).
tcf(c_23312,plain,
( v1_funct_1(k15_filter_2(sK18,u1_struct_0(sK18)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_59]) ).
tcf(c_23348,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = k15_filter_2(sK17,u1_struct_0(sK17)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_22279]) ).
tcf(c_23349,plain,
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK17,u1_struct_0(sK17))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_20612]) ).
tcf(c_23350,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(k15_filter_2(sK17,u1_struct_0(sK17)))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_13249]) ).
tcf(c_23351,plain,
( ( k15_filter_2(sK17,u1_struct_0(sK17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_19873]) ).
tcf(c_23352,plain,
( ( sK11(k1_zfmisc_1(k15_filter_2(sK17,u1_struct_0(sK17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_13248]) ).
tcf(c_23353,plain,
( ( k15_filter_2(sK17,u1_struct_0(sK17)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_9811]) ).
tcf(c_23354,plain,
! [X0: $i] :
( ( k15_filter_2(sK17,u1_struct_0(sK17)) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_286]) ).
tcf(c_23355,plain,
( v1_funct_1(k15_filter_2(sK17,u1_struct_0(sK17)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_59]) ).
tcf(c_23434,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = k15_filter_2(sK16,u1_struct_0(sK16)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_22279]) ).
tcf(c_23435,plain,
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK16,u1_struct_0(sK16))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_20612]) ).
tcf(c_23436,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(k15_filter_2(sK16,u1_struct_0(sK16)))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_13249]) ).
tcf(c_23437,plain,
( ( k15_filter_2(sK16,u1_struct_0(sK16)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_19873]) ).
tcf(c_23438,plain,
( ( sK11(k1_zfmisc_1(k15_filter_2(sK16,u1_struct_0(sK16)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_13248]) ).
tcf(c_23439,plain,
( ( k15_filter_2(sK16,u1_struct_0(sK16)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_9811]) ).
tcf(c_23440,plain,
! [X0: $i] :
( ( k15_filter_2(sK16,u1_struct_0(sK16)) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_286]) ).
tcf(c_23441,plain,
( v1_funct_1(k15_filter_2(sK16,u1_struct_0(sK16)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_59]) ).
tcf(c_23939,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_3034,c_273]) ).
tcf(c_23940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_3034,c_283]) ).
tcf(c_23941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(X3,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0)
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_3034,c_279]) ).
tcf(c_23948,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_23939,c_129]) ).
tcf(c_24303,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_23948,c_58]) ).
tcf(c_24305,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,iPr_def_15)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23948,c_10256]) ).
tcf(c_24306,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_23948,c_285]) ).
tcf(c_24308,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_23948,c_9941]) ).
tcf(c_24325,plain,
( v1_xboole_0(k15_filter_2(sK16,u1_struct_0(sK16)))
| m1_subset_1(sK11(k15_filter_2(sK16,u1_struct_0(sK16))),u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_9881,c_14584]) ).
tcf(c_24326,plain,
( v1_xboole_0(k15_filter_2(sK16,u1_struct_0(sK16)))
| m1_subset_1(sK11(sK21(k15_filter_2(sK16,u1_struct_0(sK16)))),u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_20169,c_14584]) ).
tcf(c_24331,plain,
! [X0: $i] :
( r2_hidden(sK11(sK11(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK11(k1_zfmisc_1(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_19802,c_13213,c_19802]) ).
tcf(c_24332,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(X0)))
| r2_hidden(sK11(sK11(k1_zfmisc_1(X0))),X0) ),
inference(renaming,[status(thm)],[c_24331]) ).
tcf(c_24338,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK23)))
| r2_hidden(sK11(sK23),sK23) ),
inference(superposition,[status(thm)],[c_14355,c_24332]) ).
tcf(c_24340,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_15)))
| r2_hidden(sK11(sK11(iPr_def_20)),iPr_def_15) ),
inference(superposition,[status(thm)],[c_10166,c_24332]) ).
tcf(c_24342,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(X0)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(X0)))) ),
inference(superposition,[status(thm)],[c_24332,c_58]) ).
tcf(c_24344,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(X0)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(X0))),iPr_def_15)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_24332,c_10256]) ).
tcf(c_24347,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24332,c_9987]) ).
tcf(c_24348,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0))))),X0) ),
inference(superposition,[status(thm)],[c_24332,c_9959]) ).
tcf(c_24349,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(sK11(k1_zfmisc_1(sK21(X0))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK21(X0)))),X0) ),
inference(superposition,[status(thm)],[c_24332,c_9960]) ).
tcf(c_24350,plain,
v1_xboole_0(sK11(k1_zfmisc_1(sK23))),
inference(superposition,[status(thm)],[c_24332,c_14543]) ).
tcf(c_24351,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK29(sK28))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK29(sK28)))),u1_struct_0(sK28)) ),
inference(superposition,[status(thm)],[c_24332,c_10856]) ).
tcf(c_24353,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(iPr_def_20))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(iPr_def_20)))),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24332,c_13097]) ).
tcf(c_24354,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(sK14(X0,X1))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK14(X0,X1)))),k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_24332,c_11959]) ).
tcf(c_24355,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(sK14(X0,X1))))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(superposition,[status(thm)],[c_24332,c_11958]) ).
tcf(c_24356,plain,
( v3_struct_0(sK5)
| v1_xboole_0(sK11(k1_zfmisc_1(sK29(sK5))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK29(sK5)))),u1_struct_0(sK5)) ),
inference(superposition,[status(thm)],[c_24332,c_11980]) ).
tcf(c_24357,plain,
( v3_struct_0(sK4)
| v1_xboole_0(sK11(k1_zfmisc_1(sK29(sK4))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK29(sK4)))),u1_struct_0(sK4)) ),
inference(superposition,[status(thm)],[c_24332,c_12009]) ).
tcf(c_24358,plain,
( v3_struct_0(sK6)
| v1_xboole_0(sK11(k1_zfmisc_1(sK29(sK6))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK29(sK6)))),u1_struct_0(sK6)) ),
inference(superposition,[status(thm)],[c_24332,c_12321]) ).
tcf(c_24359,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK15,u1_struct_0(sK15)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(k15_filter_2(sK15,u1_struct_0(sK15))))),u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_24332,c_13224]) ).
tcf(c_24360,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK15,u1_struct_0(sK15)))))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_24332,c_13223]) ).
tcf(c_24361,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK31,u1_struct_0(sK31)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(k15_filter_2(sK31,u1_struct_0(sK31))))),u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_24332,c_14192]) ).
tcf(c_24362,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK31,u1_struct_0(sK31)))))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_24332,c_14191]) ).
tcf(c_24363,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK18,u1_struct_0(sK18)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(k15_filter_2(sK18,u1_struct_0(sK18))))),u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_24332,c_14311]) ).
tcf(c_24364,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK18,u1_struct_0(sK18)))))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_24332,c_14310]) ).
tcf(c_24365,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK17,u1_struct_0(sK17)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(k15_filter_2(sK17,u1_struct_0(sK17))))),u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_24332,c_14554]) ).
tcf(c_24366,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK17,u1_struct_0(sK17)))))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_24332,c_14553]) ).
tcf(c_24367,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK16,u1_struct_0(sK16)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(k15_filter_2(sK16,u1_struct_0(sK16))))),u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_24332,c_14584]) ).
tcf(c_24368,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k15_filter_2(sK16,u1_struct_0(sK16)))))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_24332,c_14583]) ).
tcf(c_24369,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24332,c_20182]) ).
tcf(c_24370,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0)))))),X0) ),
inference(superposition,[status(thm)],[c_24332,c_20179]) ).
tcf(c_24376,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_20)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_20))))),iPr_def_15) ),
inference(superposition,[status(thm)],[c_24332,c_20543]) ).
tcf(c_24383,plain,
( v1_xboole_0(sK23)
| r2_hidden(sK11(sK23),sK23) ),
inference(light_normalisation,[status(thm)],[c_24338,c_14355]) ).
tcf(c_24657,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK23)))
| ~ r2_hidden(sK23,sK11(sK23)) ),
inference(superposition,[status(thm)],[c_14355,c_24342]) ).
tcf(c_24659,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_15)))
| ~ r2_hidden(iPr_def_15,sK11(sK11(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_10166,c_24342]) ).
tcf(c_24661,plain,
( v1_xboole_0(sK23)
| ~ r2_hidden(sK23,sK11(sK23)) ),
inference(light_normalisation,[status(thm)],[c_24657,c_14355]) ).
tcf(c_24687,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))) = sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24347,c_22279]) ).
tcf(c_24688,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0))))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24347,c_20612]) ).
tcf(c_24689,plain,
! [X0: $i,X1: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24347,c_13249]) ).
tcf(c_24690,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24347,c_19873]) ).
tcf(c_24691,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24347,c_13248]) ).
tcf(c_24694,plain,
! [X0: $i] :
( v1_funct_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24347,c_59]) ).
tcf(c_24770,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK23)))
| ~ v1_xboole_0(sK23) ),
inference(superposition,[status(thm)],[c_22406,c_24369]) ).
tcf(c_24771,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK23)))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_22410,c_24369]) ).
tcf(c_24775,plain,
! [X0: $i] :
( ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))) = sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24369,c_22279]) ).
tcf(c_24776,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0)))))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24369,c_20612]) ).
tcf(c_24777,plain,
! [X0: $i,X1: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24369,c_13249]) ).
tcf(c_24778,plain,
! [X0: $i] :
( ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24369,c_19873]) ).
tcf(c_24779,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24369,c_13248]) ).
tcf(c_24782,plain,
! [X0: $i] :
( v1_funct_1(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24369,c_59]) ).
tcf(c_24793,plain,
( v1_xboole_0(sK23)
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_24771,c_14355]) ).
tcf(c_25548,plain,
( v1_funct_1(sK11(k1_zfmisc_1(sK23)))
| ~ v1_xboole_0(sK23) ),
inference(superposition,[status(thm)],[c_22406,c_24782]) ).
tcf(c_25550,plain,
( v1_funct_1(sK11(k1_zfmisc_1(sK23)))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_22410,c_24782]) ).
tcf(c_25554,plain,
( v1_funct_1(sK23)
| ~ v1_xboole_0(sK23) ),
inference(light_normalisation,[status(thm)],[c_25548,c_14355]) ).
tcf(c_25555,plain,
( v1_funct_1(sK23)
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_25550,c_14355]) ).
tcf(c_25580,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_15),sK29(sK2)) ),
inference(superposition,[status(thm)],[c_10167,c_20112]) ).
tcf(c_25583,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ r2_hidden(iPr_def_20,sK29(sK2)) ),
inference(light_normalisation,[status(thm)],[c_25580,c_10166]) ).
tcf(c_25589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ m1_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1)
| ~ m1_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3) ),
inference(superposition,[status(thm)],[c_23948,c_24303]) ).
tcf(c_26012,plain,
( v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_10167,c_2914]) ).
tcf(c_26014,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_2914,c_137]) ).
tcf(c_26015,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_2914,c_88]) ).
tcf(c_26016,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_2914,c_87]) ).
tcf(c_26018,plain,
v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_26012,c_7367]) ).
tcf(c_26089,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = X2 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10807,c_26018]) ).
tcf(c_26090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK2) = X1 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10640,c_26018]) ).
tcf(c_26091,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10583,c_26018]) ).
tcf(c_26148,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_10167,c_2982]) ).
tcf(c_26150,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_2982,c_137]) ).
tcf(c_26151,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_2982,c_88]) ).
tcf(c_26152,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_2982,c_87]) ).
tcf(c_26154,plain,
v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_26148,c_7367]) ).
tcf(c_26188,plain,
( m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_10167,c_3043]) ).
tcf(c_26191,plain,
m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_26188,c_7367]) ).
tcf(c_26230,plain,
( m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_10167,c_3061]) ).
tcf(c_26233,plain,
m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_26230,c_7367]) ).
tcf(c_26262,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_15)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v3_struct_0(g3_lattices(iPr_def_15,u1_lattices(sK2),X0))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26018,c_137]) ).
tcf(c_26263,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26018,c_88]) ).
tcf(c_26264,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26018,c_87]) ).
tcf(c_26279,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v3_struct_0(g3_lattices(iPr_def_15,u1_lattices(sK2),X0))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26262,c_12976]) ).
tcf(c_26317,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_15)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v3_struct_0(g3_lattices(iPr_def_15,u2_lattices(sK2),X0))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26154,c_137]) ).
tcf(c_26318,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26154,c_88]) ).
tcf(c_26319,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26154,c_87]) ).
tcf(c_26334,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v3_struct_0(g3_lattices(iPr_def_15,u2_lattices(sK2),X0))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26317,c_12976]) ).
tcf(c_26612,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_26263,c_26191,c_26263]) ).
tcf(c_26625,plain,
( l3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26018,c_26612]) ).
tcf(c_26626,plain,
( l3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26154,c_26612]) ).
tcf(c_26630,plain,
( l3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26625,c_26191]) ).
tcf(c_26633,plain,
( l3_lattices(iPr_def_12)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_26626,c_10265]) ).
tcf(c_26646,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2)))) = k1_lattice2(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2))) )
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_26630,c_84]) ).
tcf(c_26661,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_26264,c_26191,c_26264]) ).
tcf(c_26674,plain,
( v3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26018,c_26661]) ).
tcf(c_26675,plain,
( v3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26154,c_26661]) ).
tcf(c_26679,plain,
( v3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26674,c_26191]) ).
tcf(c_26682,plain,
( v3_lattices(iPr_def_12)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(light_normalisation,[status(thm)],[c_26675,c_10265]) ).
tcf(c_26698,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2)))) = g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2)) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ l3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),u1_lattices(sK2))) ),
inference(superposition,[status(thm)],[c_26679,c_57]) ).
tcf(c_26708,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_26318,c_26233,c_26318]) ).
tcf(c_26721,plain,
( l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26018,c_26708]) ).
tcf(c_26722,plain,
( l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26154,c_26708]) ).
tcf(c_26726,plain,
( l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26722,c_26233]) ).
tcf(c_26729,plain,
( l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26721,c_26191]) ).
tcf(c_26748,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2)))) = k1_lattice2(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2))) )
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_26726,c_84]) ).
tcf(c_26852,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2)))) = k1_lattice2(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2))) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_26729,c_84]) ).
tcf(c_26860,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_26319,c_26233,c_26319]) ).
tcf(c_26873,plain,
( v3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26018,c_26860]) ).
tcf(c_26874,plain,
( v3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26154,c_26860]) ).
tcf(c_26878,plain,
( v3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26874,c_26233]) ).
tcf(c_26881,plain,
( v3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26873,c_26191]) ).
tcf(c_27035,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK23))) = X0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_239,c_20613]) ).
tcf(c_27036,plain,
! [X0: $i,X1: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(X0))))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_13213,c_20613]) ).
tcf(c_27037,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK15,u1_struct_0(sK15))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_20613]) ).
tcf(c_27038,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK31,u1_struct_0(sK31))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_20613]) ).
tcf(c_27039,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK18,u1_struct_0(sK18))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_20613]) ).
tcf(c_27040,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK17,u1_struct_0(sK17))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_20613]) ).
tcf(c_27041,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(k15_filter_2(sK16,u1_struct_0(sK16))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_20613]) ).
tcf(c_27045,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = X0 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19807,c_20613]) ).
tcf(c_27048,plain,
! [X0: $i,X1: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0)))))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_20565,c_20613]) ).
tcf(c_27051,plain,
! [X0: $i,X1: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0))))))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24347,c_20613]) ).
tcf(c_27052,plain,
! [X0: $i,X1: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0)))))))) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24369,c_20613]) ).
tcf(c_27253,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2)))) = g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2)) )
| ~ v1_funct_1(u2_lattices(sK2))
| ~ l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u2_lattices(sK2))) ),
inference(superposition,[status(thm)],[c_26878,c_57]) ).
tcf(c_27267,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2)))) = g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2)) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),u1_lattices(sK2))) ),
inference(superposition,[status(thm)],[c_26881,c_57]) ).
tcf(c_27948,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK13(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK13(X0))) ),
inference(superposition,[status(thm)],[c_3264,c_125]) ).
tcf(c_27949,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK13(X0)) = sK13(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_3264,c_85]) ).
tcf(c_27950,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_3264,c_273]) ).
tcf(c_27951,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,sK13(X1)) ),
inference(superposition,[status(thm)],[c_3264,c_283]) ).
tcf(c_27952,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,sK13(X1)) ),
inference(superposition,[status(thm)],[c_3264,c_279]) ).
tcf(c_27974,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27950,c_129]) ).
tcf(c_27992,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK20(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK20(X0))) ),
inference(superposition,[status(thm)],[c_3279,c_125]) ).
tcf(c_27993,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK20(X0)) = sK20(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_3279,c_85]) ).
tcf(c_27994,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK20(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_3279,c_273]) ).
tcf(c_27995,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,sK20(X1)) ),
inference(superposition,[status(thm)],[c_3279,c_283]) ).
tcf(c_27996,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,sK20(X1)) ),
inference(superposition,[status(thm)],[c_3279,c_279]) ).
tcf(c_28018,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(sK20(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27994,c_129]) ).
tcf(c_28035,plain,
( v3_struct_0(sK18)
| m1_subset_1(u1_struct_0(sK18),k1_zfmisc_1(u1_struct_0(sK18)))
| ~ l3_lattices(sK18)
| ~ v10_lattices(sK18) ),
inference(superposition,[status(thm)],[c_10141,c_4459]) ).
tcf(c_28036,plain,
( v3_struct_0(sK15)
| m1_subset_1(u1_struct_0(sK15),k1_zfmisc_1(u1_struct_0(sK15)))
| ~ l3_lattices(sK15)
| ~ v10_lattices(sK15) ),
inference(superposition,[status(thm)],[c_10144,c_4459]) ).
tcf(c_28037,plain,
( v3_struct_0(sK16)
| m1_subset_1(u1_struct_0(sK16),k1_zfmisc_1(u1_struct_0(sK16)))
| ~ l3_lattices(sK16)
| ~ v10_lattices(sK16) ),
inference(superposition,[status(thm)],[c_10143,c_4459]) ).
tcf(c_28038,plain,
( v3_struct_0(sK17)
| m1_subset_1(u1_struct_0(sK17),k1_zfmisc_1(u1_struct_0(sK17)))
| ~ l3_lattices(sK17)
| ~ v10_lattices(sK17) ),
inference(superposition,[status(thm)],[c_10142,c_4459]) ).
tcf(c_28039,plain,
( v3_struct_0(sK31)
| m1_subset_1(u1_struct_0(sK31),k1_zfmisc_1(u1_struct_0(sK31)))
| ~ l3_lattices(sK31)
| ~ v10_lattices(sK31) ),
inference(superposition,[status(thm)],[c_10140,c_4459]) ).
tcf(c_28042,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k17_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,k17_filter_2(X0))) ),
inference(superposition,[status(thm)],[c_4459,c_125]) ).
tcf(c_28043,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,k17_filter_2(X0)) = k17_filter_2(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_4459,c_85]) ).
tcf(c_28044,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(k17_filter_2(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_4459,c_273]) ).
tcf(c_28045,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,k17_filter_2(X1)) ),
inference(superposition,[status(thm)],[c_4459,c_283]) ).
tcf(c_28046,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k17_filter_2(X1)) ),
inference(superposition,[status(thm)],[c_4459,c_279]) ).
tcf(c_28068,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(k17_filter_2(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28044,c_129]) ).
tcf(c_28237,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK12(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK12(X0))) ),
inference(superposition,[status(thm)],[c_4519,c_125]) ).
tcf(c_28238,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK12(X0)) = sK12(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_4519,c_85]) ).
tcf(c_28239,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_4519,c_273]) ).
tcf(c_28240,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,sK12(X1)) ),
inference(superposition,[status(thm)],[c_4519,c_283]) ).
tcf(c_28241,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,sK12(X1)) ),
inference(superposition,[status(thm)],[c_4519,c_279]) ).
tcf(c_28265,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28239,c_129]) ).
tcf(c_28291,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_filter_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,k1_filter_0(X0))) ),
inference(superposition,[status(thm)],[c_4944,c_125]) ).
tcf(c_28292,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,k1_filter_0(X0)) = k1_filter_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_4944,c_85]) ).
tcf(c_28293,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(k1_filter_0(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_4944,c_273]) ).
tcf(c_28294,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,k1_filter_0(X1)) ),
inference(superposition,[status(thm)],[c_4944,c_283]) ).
tcf(c_28295,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k1_filter_0(X1)) ),
inference(superposition,[status(thm)],[c_4944,c_279]) ).
tcf(c_28317,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(k1_filter_0(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28293,c_129]) ).
tcf(c_28336,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK8(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK8(X0))) ),
inference(superposition,[status(thm)],[c_4989,c_125]) ).
tcf(c_28337,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK8(X0)) = sK8(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_4989,c_85]) ).
tcf(c_28338,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK8(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_4989,c_273]) ).
tcf(c_28339,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,sK8(X1)) ),
inference(superposition,[status(thm)],[c_4989,c_283]) ).
tcf(c_28340,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,sK8(X1)) ),
inference(superposition,[status(thm)],[c_4989,c_279]) ).
tcf(c_28364,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(sK8(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28338,c_129]) ).
tcf(c_28390,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,k1_filter_2(X0))) ),
inference(superposition,[status(thm)],[c_5043,c_125]) ).
tcf(c_28391,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,k1_filter_2(X0)) = k1_filter_2(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_5043,c_85]) ).
tcf(c_28392,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(k1_filter_2(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_5043,c_273]) ).
tcf(c_28393,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,k1_filter_2(X1)) ),
inference(superposition,[status(thm)],[c_5043,c_283]) ).
tcf(c_28394,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,k1_filter_2(X1)) ),
inference(superposition,[status(thm)],[c_5043,c_279]) ).
tcf(c_28416,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(k1_filter_2(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28392,c_129]) ).
tcf(c_28989,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v3_struct_0(g3_lattices(iPr_def_15,u1_lattices(sK2),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_26279,c_26191,c_26279]) ).
tcf(c_29081,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v3_struct_0(g3_lattices(iPr_def_15,u2_lattices(sK2),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_26334,c_26233,c_26334]) ).
tcf(c_29099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(global_subsumption_just,[status(thm)],[c_26091,c_10583,c_26018,c_26154,c_26191,c_26233]) ).
tcf(c_29564,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK9(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k7_filter_2(X0,sK9(X0))) ),
inference(superposition,[status(thm)],[c_5071,c_125]) ).
tcf(c_29565,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k7_filter_2(X0,sK9(X0)) = sK9(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_5071,c_85]) ).
tcf(c_29566,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK9(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_5071,c_273]) ).
tcf(c_29567,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,sK9(X1)) ),
inference(superposition,[status(thm)],[c_5071,c_283]) ).
tcf(c_29568,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ r2_hidden(X0,sK9(X1)) ),
inference(superposition,[status(thm)],[c_5071,c_279]) ).
tcf(c_29592,plain,
! [X0: $i] :
( v3_struct_0(X0)
| r2_hidden(sK9(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29566,c_129]) ).
tcf(c_29612,plain,
( v3_struct_0(sK15)
| ( k7_filter_2(sK15,sK23) = sK23 )
| ~ l3_lattices(sK15) ),
inference(superposition,[status(thm)],[c_184,c_10280]) ).
tcf(c_29613,plain,
( v3_struct_0(sK16)
| ( k7_filter_2(sK16,sK23) = sK23 )
| ~ l3_lattices(sK16) ),
inference(superposition,[status(thm)],[c_197,c_10280]) ).
tcf(c_29614,plain,
( v3_struct_0(sK17)
| ( k7_filter_2(sK17,sK23) = sK23 )
| ~ l3_lattices(sK17) ),
inference(superposition,[status(thm)],[c_210,c_10280]) ).
tcf(c_29615,plain,
( v3_struct_0(sK18)
| ( k7_filter_2(sK18,sK23) = sK23 )
| ~ l3_lattices(sK18) ),
inference(superposition,[status(thm)],[c_224,c_10280]) ).
tcf(c_29616,plain,
( v3_struct_0(sK31)
| ( k7_filter_2(sK31,sK23) = sK23 )
| ~ l3_lattices(sK31) ),
inference(superposition,[status(thm)],[c_264,c_10280]) ).
tcf(c_29618,plain,
k7_filter_2(sK31,sK23) = sK23,
inference(forward_subsumption_resolution,[status(thm)],[c_29616,c_256,c_255]) ).
tcf(c_29619,plain,
k7_filter_2(sK18,sK23) = sK23,
inference(forward_subsumption_resolution,[status(thm)],[c_29615,c_216,c_215]) ).
tcf(c_29620,plain,
k7_filter_2(sK17,sK23) = sK23,
inference(forward_subsumption_resolution,[status(thm)],[c_29614,c_202,c_201]) ).
tcf(c_29621,plain,
k7_filter_2(sK16,sK23) = sK23,
inference(forward_subsumption_resolution,[status(thm)],[c_29613,c_189,c_188]) ).
tcf(c_29622,plain,
k7_filter_2(sK15,sK23) = sK23,
inference(forward_subsumption_resolution,[status(thm)],[c_29612,c_176,c_175]) ).
tcf(c_29635,plain,
( v3_struct_0(sK31)
| m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31))))
| ~ l3_lattices(sK31)
| ~ v10_lattices(sK31)
| ~ m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(sK31))) ),
inference(superposition,[status(thm)],[c_29618,c_95]) ).
tcf(c_29728,plain,
( v3_struct_0(sK18)
| m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18))))
| ~ l3_lattices(sK18)
| ~ v10_lattices(sK18)
| ~ m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(sK18))) ),
inference(superposition,[status(thm)],[c_29619,c_95]) ).
tcf(c_29729,plain,
( v3_struct_0(sK17)
| m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17))))
| ~ l3_lattices(sK17)
| ~ v10_lattices(sK17)
| ~ m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(sK17))) ),
inference(superposition,[status(thm)],[c_29620,c_95]) ).
tcf(c_29730,plain,
( v3_struct_0(sK16)
| m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16))))
| ~ l3_lattices(sK16)
| ~ v10_lattices(sK16)
| ~ m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(sK16))) ),
inference(superposition,[status(thm)],[c_29621,c_95]) ).
tcf(c_29731,plain,
( v3_struct_0(sK15)
| m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15))))
| ~ l3_lattices(sK15)
| ~ v10_lattices(sK15)
| ~ m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(sK15))) ),
inference(superposition,[status(thm)],[c_29622,c_95]) ).
tcf(c_31029,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK29(X0))
| m1_subset_1(sK11(sK29(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_9881,c_18634]) ).
tcf(c_31030,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK11(k1_zfmisc_1(sK29(X0))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK29(X0)))),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_24332,c_18634]) ).
tcf(c_31031,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_xboole_0(sK29(X0))
| m1_subset_1(sK11(sK21(sK29(X0))),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_20169,c_18634]) ).
tcf(c_31172,plain,
sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK23)))) = sK23,
inference(superposition,[status(thm)],[c_239,c_14356]) ).
tcf(c_31174,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k15_filter_2(sK15,u1_struct_0(sK15)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK15))) ),
inference(superposition,[status(thm)],[c_22044,c_14356]) ).
tcf(c_31175,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k15_filter_2(sK31,u1_struct_0(sK31)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK31))) ),
inference(superposition,[status(thm)],[c_22317,c_14356]) ).
tcf(c_31176,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k15_filter_2(sK18,u1_struct_0(sK18)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK18))) ),
inference(superposition,[status(thm)],[c_22349,c_14356]) ).
tcf(c_31177,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k15_filter_2(sK17,u1_struct_0(sK17)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK17))) ),
inference(superposition,[status(thm)],[c_22820,c_14356]) ).
tcf(c_31178,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k15_filter_2(sK16,u1_struct_0(sK16)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK16))) ),
inference(superposition,[status(thm)],[c_23247,c_14356]) ).
tcf(c_31181,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(X0)))))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24347,c_14356]) ).
tcf(c_31182,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(sK21(k1_zfmisc_1(X0))))))))) = sK23 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_24369,c_14356]) ).
fof(f232,definition,
! [X0] :
( ~ sP0(X0)
| ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f233,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(definition_folding,[],[f194,f232]) ).
fof(f234,definition,
! [X0] :
( ~ sP1(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f235,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(definition_folding,[],[f202,f234]) ).
fof(f250,plain,
! [X0] :
( ~ sP0(X0)
| ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f251,plain,
! [X0] :
( ~ sP1(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(nnf_transformation,[],[f234]) ).
fof(f375,plain,
! [X0] :
( ~ sP0(X0)
| v17_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f376,plain,
! [X0] :
( ~ sP0(X0)
| v16_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f381,plain,
! [X0] :
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f388,plain,
! [X0] :
( ~ sP0(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f389,plain,
! [X0] :
( ~ sP0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f398,plain,
! [X0] :
( ~ sP1(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_139,plain,
! [X0: $i] :
( ~ sP0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_140,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_147,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_152,plain,
! [X0: $i] :
( v16_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_153,plain,
! [X0: $i] :
( v17_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_170,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_532,plain,
! [X0: $i] :
( v16_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_152]) ).
tcf(c_534,plain,
! [X0: $i] :
( v17_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_153]) ).
tcf(c_552,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_170]) ).
tcf(c_3152,plain,
! [X0: $i] :
( v17_lattices(sK15)
| ~ v15_lattices(sK15)
| ~ sP0(X0)
| ( k1_lattice2(X0) != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_532,c_3135]) ).
tcf(c_3700,plain,
! [X0: $i] :
( v17_lattices(sK15)
| ~ sP0(X0)
| ( k1_lattice2(X0) != sK15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3152,c_3687]) ).
tcf(c_3703,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_171,c_552]) ).
tcf(c_3704,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3703]) ).
tcf(c_4234,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_171,c_552]) ).
tcf(c_4235,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4234]) ).
tcf(c_4755,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k15_filter_2(X0,k17_filter_2(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_4753,c_94,c_126,c_3704,c_4753]) ).
tcf(c_4756,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k15_filter_2(X0,k17_filter_2(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_4755]) ).
tcf(c_4791,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(k15_filter_2(X0,k17_filter_2(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4789,c_94,c_126,c_3704,c_4789]) ).
tcf(c_4792,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k15_filter_2(X0,k17_filter_2(X0))) ),
inference(renaming,[status(thm)],[c_4791]) ).
tcf(c_4809,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k15_filter_2(X0,sK12(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_4807,c_94,c_126,c_3704,c_4807]) ).
tcf(c_4810,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k15_filter_2(X0,sK12(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_4809]) ).
tcf(c_4845,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(k15_filter_2(X0,sK12(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_4843,c_94,c_126,c_3704,c_4843]) ).
tcf(c_4846,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k15_filter_2(X0,sK12(X0))) ),
inference(renaming,[status(thm)],[c_4845]) ).
tcf(c_5128,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k15_filter_2(X0,k17_filter_2(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_5127,c_4756]) ).
tcf(c_5129,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k15_filter_2(X0,k17_filter_2(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_5128]) ).
tcf(c_5144,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(k15_filter_2(X0,k17_filter_2(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5143,c_4792]) ).
tcf(c_5145,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k15_filter_2(X0,k17_filter_2(X0))) ),
inference(renaming,[status(thm)],[c_5144]) ).
tcf(c_5160,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_subset_1(k15_filter_2(X0,sK12(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_5159,c_4810]) ).
tcf(c_5161,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k15_filter_2(X0,sK12(X0)),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_5160]) ).
tcf(c_5176,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(k15_filter_2(X0,sK12(X0)))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5175,c_4846]) ).
tcf(c_5177,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k15_filter_2(X0,sK12(X0))) ),
inference(renaming,[status(thm)],[c_5176]) ).
tcf(c_5284,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| v3_struct_0(X1)
| ~ sP0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( k1_lattice2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_154,c_534]) ).
tcf(c_5285,plain,
! [X0: $i] :
( sP0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_5284]) ).
tcf(c_5287,plain,
! [X0: $i] :
( sP0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5285,c_147,c_139,c_5285]) ).
tcf(c_5288,plain,
! [X0: $i] :
( sP0(k1_lattice2(X0))
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_5287]) ).
tcf(c_5316,plain,
! [X0: $i,X1: $i] :
( sP0(X1)
| v3_struct_0(X1)
| ~ sP0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ( X1 != sK15 )
| ( k1_lattice2(X0) != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_154,c_3700]) ).
tcf(c_5317,plain,
! [X0: $i] :
( sP0(sK15)
| v3_struct_0(sK15)
| ~ l3_lattices(sK15)
| ~ v10_lattices(sK15)
| ~ sP0(X0)
| ( k1_lattice2(X0) != sK15 ) ),
inference(unflattening,[status(thm)],[c_5316]) ).
tcf(c_5319,plain,
! [X0: $i] :
( sP0(sK15)
| ( k1_lattice2(X0) != sK15 )
| ~ sP0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_5317,c_184,c_175,c_176,c_5317]) ).
tcf(c_5320,plain,
! [X0: $i] :
( sP0(sK15)
| ~ sP0(X0)
| ( k1_lattice2(X0) != sK15 ) ),
inference(renaming,[status(thm)],[c_5319]) ).
tcf(c_5342,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(X0) != k1_lattice2(sK2) ) ),
inference(resolution_lifted,[status(thm)],[c_534,c_4891]) ).
tcf(c_5365,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(sK2))
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k17_filter_2(sK2) != sK3 )
| ( k1_lattice2(X0) != k1_lattice2(sK2) )
| ( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_534,c_4151]) ).
tcf(c_5473,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(sK2) != sK15 )
| ( k1_lattice2(X0) != sK15 ) ),
inference(resolution_lifted,[status(thm)],[c_3700,c_4891]) ).
tcf(c_5499,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(sK2))
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(sK2) != sK15 )
| ( k17_filter_2(sK2) != sK3 )
| ( k1_lattice2(X0) != sK15 )
| ( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3) ) ),
inference(resolution_lifted,[status(thm)],[c_3700,c_4151]) ).
tcf(c_7339,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( k1_lattice2(X0) != sK15 )
| ~ sP0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_5499]) ).
tcf(c_7340,plain,
( iPr_def_10
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(sK2) != sK15 )
| ( k17_filter_2(sK2) != sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5499]) ).
tcf(c_7341,plain,
( iPr_def_10
| v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k1_lattice2(sK2) != sK15 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5473]) ).
tcf(c_7342,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( k1_lattice2(X0) != k1_lattice2(sK2) )
| ~ sP0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_5365]) ).
tcf(c_7343,plain,
( iPr_def_11
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ( k17_filter_2(sK2) != sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5365]) ).
tcf(c_7344,plain,
( iPr_def_11
| v3_struct_0(k1_lattice2(sK2))
| ( k17_filter_2(sK2) = sK3 )
| ( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) )
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5342]) ).
tcf(c_7355,plain,
( iPr_def_10
| v3_struct_0(iPr_def_12)
| ( iPr_def_15 = sK3 )
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ( iPr_def_12 != sK15 ) ),
inference(demodulation,[status(thm)],[c_7341]) ).
tcf(c_7358,plain,
( iPr_def_11
| v3_struct_0(iPr_def_12)
| ( iPr_def_15 = sK3 )
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(demodulation,[status(thm)],[c_7344]) ).
tcf(c_9513,plain,
( v10_lattices(iPr_def_12)
| v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_7345,c_4235]) ).
tcf(c_9514,plain,
v10_lattices(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9513,c_7369,c_7367,c_7368]) ).
tcf(c_9515,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_14,iPr_def_17)
| ~ l3_lattices(iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7363,c_9514]) ).
tcf(c_9516,plain,
( v3_struct_0(iPr_def_12)
| ~ v1_xboole_0(iPr_def_14)
| ~ l3_lattices(iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7362,c_9514]) ).
tcf(c_9517,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ~ l3_lattices(iPr_def_12)
| ( sK2 != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7360,c_9514]) ).
tcf(c_9518,plain,
( v3_struct_0(iPr_def_12)
| ~ l3_lattices(iPr_def_12)
| ( iPr_def_13 != iPr_def_14 )
| ( sK3 != iPr_def_15 )
| ( sK2 != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7359,c_9514]) ).
tcf(c_9519,plain,
( iPr_def_11
| v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ~ l3_lattices(iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7358,c_9514]) ).
tcf(c_9520,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ~ l3_lattices(iPr_def_12)
| ( sK18 != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7357,c_9514]) ).
tcf(c_9521,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ~ l3_lattices(iPr_def_12)
| ( sK15 != iPr_def_12 )
| ( sK15 != sK17 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7356,c_9514]) ).
tcf(c_9522,plain,
( iPr_def_10
| v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ~ l3_lattices(iPr_def_12)
| ( sK15 != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7355,c_9514]) ).
tcf(c_9523,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ~ l3_lattices(iPr_def_12)
| ( sK15 != iPr_def_12 )
| ( sK15 != sK18 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7354,c_9514]) ).
tcf(c_9585,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(global_subsumption_just,[status(thm)],[c_9515,c_7363,c_9514,c_9579]) ).
tcf(c_9591,plain,
( v3_struct_0(iPr_def_12)
| ~ v1_xboole_0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9516,c_7362,c_9514,c_9579]) ).
tcf(c_9597,plain,
( iPr_def_11
| v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_9519,c_9519,c_9579]) ).
tcf(c_9607,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK2 != iPr_def_12 ) ),
inference(global_subsumption_just,[status(thm)],[c_9517,c_9517,c_9579]) ).
tcf(c_9617,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK18 != iPr_def_12 ) ),
inference(global_subsumption_just,[status(thm)],[c_9520,c_9520,c_9579]) ).
tcf(c_9627,plain,
( iPr_def_10
| v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK15 != iPr_def_12 ) ),
inference(global_subsumption_just,[status(thm)],[c_9522,c_9522,c_9579]) ).
tcf(c_9639,plain,
( v3_struct_0(iPr_def_12)
| ( sK2 != iPr_def_12 )
| ( sK3 != iPr_def_15 )
| ( iPr_def_13 != iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_9518,c_9518,c_9579]) ).
tcf(c_9640,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 != iPr_def_14 )
| ( sK3 != iPr_def_15 )
| ( sK2 != iPr_def_12 ) ),
inference(renaming,[status(thm)],[c_9639]) ).
tcf(c_9649,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK15 != sK17 )
| ( sK15 != iPr_def_12 ) ),
inference(global_subsumption_just,[status(thm)],[c_9521,c_9521,c_9579]) ).
tcf(c_9650,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK15 != iPr_def_12 )
| ( sK15 != sK17 ) ),
inference(renaming,[status(thm)],[c_9649]) ).
tcf(c_9670,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ( k7_filter_2(k1_lattice2(X0),k17_filter_2(k1_lattice2(X0))) = k15_filter_2(k1_lattice2(X0),k17_filter_2(k1_lattice2(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_4235,c_4474]) ).
tcf(c_9676,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(iPr_def_12,k17_filter_2(iPr_def_12)) = k15_filter_2(iPr_def_12,k17_filter_2(iPr_def_12)) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9514,c_4474]) ).
tcf(c_9677,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(iPr_def_12,k17_filter_2(iPr_def_12)) = k15_filter_2(iPr_def_12,k17_filter_2(iPr_def_12)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9676,c_9579]) ).
tcf(c_9699,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(X0))
| ( k7_filter_2(k1_lattice2(X0),k17_filter_2(k1_lattice2(X0))) = k15_filter_2(k1_lattice2(X0),k17_filter_2(k1_lattice2(X0))) )
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_147,c_4474]) ).
tcf(c_9713,plain,
( ~ sP0(sK2)
| ~ v3_struct_0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_7345,c_139]) ).
tcf(c_9714,plain,
~ v3_struct_0(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9713,c_7361]) ).
tcf(c_9715,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK15 != iPr_def_12 )
| ( sK15 != sK17 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9650,c_9714]) ).
tcf(c_9716,plain,
( ( iPr_def_13 != iPr_def_14 )
| ( sK3 != iPr_def_15 )
| ( sK2 != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9640,c_9714]) ).
tcf(c_9717,plain,
( iPr_def_10
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK15 != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9627,c_9714]) ).
tcf(c_9718,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK18 != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9617,c_9714]) ).
tcf(c_9719,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK2 != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9607,c_9714]) ).
tcf(c_9720,plain,
( iPr_def_11
| ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9597,c_9714]) ).
tcf(c_9721,plain,
~ v1_xboole_0(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_9591,c_9714]) ).
tcf(c_9722,plain,
m1_subset_1(iPr_def_14,iPr_def_17),
inference(backward_subsumption_resolution,[status(thm)],[c_9585,c_9714]) ).
tcf(c_9753,plain,
k7_filter_2(iPr_def_12,k17_filter_2(iPr_def_12)) = k15_filter_2(iPr_def_12,k17_filter_2(iPr_def_12)),
inference(global_subsumption_just,[status(thm)],[c_9677,c_9677,c_9714]) ).
tcf(c_9755,plain,
( ( sK15 != iPr_def_12 )
| ( sK15 != sK18 )
| ( sK3 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_9523,c_9523,c_9579,c_9714]) ).
tcf(c_9756,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sK3 = iPr_def_15 )
| ( sK15 != iPr_def_12 )
| ( sK15 != sK18 ) ),
inference(renaming,[status(thm)],[c_9755]) ).
tcf(c_9884,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9722,c_273]) ).
tcf(c_9896,plain,
r2_hidden(iPr_def_14,iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_9884,c_9501]) ).
tcf(c_9930,plain,
~ r2_hidden(iPr_def_17,iPr_def_14),
inference(superposition,[status(thm)],[c_9896,c_58]) ).
tcf(c_10014,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(X0))
| ( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0)) )
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_147,c_83]) ).
tcf(c_10015,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_4235,c_83]) ).
tcf(c_10021,plain,
( v3_struct_0(iPr_def_12)
| ( u1_struct_0(iPr_def_12) = k1_filter_0(iPr_def_12) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9514,c_83]) ).
tcf(c_10022,plain,
( v3_struct_0(iPr_def_12)
| ( iPr_def_13 = iPr_def_16 )
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_10021,c_7346,c_7349]) ).
tcf(c_10023,plain,
iPr_def_13 = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_10022,c_9714,c_9579]) ).
tcf(c_10041,plain,
r2_hidden(iPr_def_13,iPr_def_17),
inference(demodulation,[status(thm)],[c_9894,c_10023]) ).
tcf(c_10042,plain,
m1_subset_1(iPr_def_13,iPr_def_17),
inference(demodulation,[status(thm)],[c_9499,c_10023]) ).
tcf(c_10043,plain,
k1_zfmisc_1(iPr_def_13) = iPr_def_17,
inference(demodulation,[status(thm)],[c_7350,c_10023]) ).
tcf(c_10044,plain,
u1_struct_0(iPr_def_12) = iPr_def_13,
inference(demodulation,[status(thm)],[c_7349,c_10023]) ).
tcf(c_10047,plain,
~ r2_hidden(iPr_def_17,iPr_def_13),
inference(superposition,[status(thm)],[c_10041,c_58]) ).
tcf(c_10055,plain,
( v1_xboole_0(iPr_def_13)
| m1_subset_1(sK21(iPr_def_13),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10043,c_235]) ).
tcf(c_10058,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(X1,iPr_def_17)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_10043,c_283]) ).
tcf(c_10059,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ m1_subset_1(X1,iPr_def_17)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_10043,c_279]) ).
tcf(c_10072,plain,
( v1_xboole_0(iPr_def_17)
| v1_xboole_0(iPr_def_13)
| r2_hidden(sK21(iPr_def_13),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10055,c_273]) ).
tcf(c_10073,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK21(iPr_def_13),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10072,c_9501]) ).
tcf(c_10087,plain,
( ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9891,c_10058]) ).
tcf(c_10088,plain,
! [X0: $i] :
( ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9899,c_10058]) ).
tcf(c_10089,plain,
( ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_10041,c_10058]) ).
tcf(c_10116,plain,
g3_lattices(iPr_def_13,u1_lattices(iPr_def_12),u2_lattices(iPr_def_12)) = k1_lattice2(iPr_def_12),
inference(light_normalisation,[status(thm)],[c_10115,c_10044]) ).
tcf(c_10130,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(X0))
| ( k17_filter_2(k1_lattice2(X0)) = u1_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_147,c_86]) ).
tcf(c_10131,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ( k17_filter_2(k1_lattice2(X0)) = u1_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_4235,c_86]) ).
tcf(c_10137,plain,
( v3_struct_0(iPr_def_12)
| ( k17_filter_2(iPr_def_12) = u1_struct_0(iPr_def_12) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9514,c_86]) ).
tcf(c_10138,plain,
( v3_struct_0(iPr_def_12)
| ( k17_filter_2(iPr_def_12) = iPr_def_13 )
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_10137,c_10044]) ).
tcf(c_10139,plain,
k17_filter_2(iPr_def_12) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_10138,c_9714,c_9579]) ).
tcf(c_10157,plain,
k7_filter_2(iPr_def_12,iPr_def_13) = k15_filter_2(iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_9753,c_10139]) ).
tcf(c_10179,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(X0))
| ( k1_filter_0(k1_lattice2(X0)) = k1_filter_2(k1_lattice2(X0)) )
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_147,c_266]) ).
tcf(c_10180,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ( k1_filter_0(k1_lattice2(X0)) = k1_filter_2(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_4235,c_266]) ).
tcf(c_10186,plain,
( v3_struct_0(iPr_def_12)
| ( k1_filter_0(iPr_def_12) = k1_filter_2(iPr_def_12) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9514,c_266]) ).
tcf(c_10187,plain,
( v3_struct_0(iPr_def_12)
| ( k1_filter_2(iPr_def_12) = iPr_def_13 )
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_10186,c_7346]) ).
tcf(c_10188,plain,
k1_filter_2(iPr_def_12) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_10187,c_9714,c_9579]) ).
tcf(c_10219,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) )
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_140,c_57]) ).
tcf(c_10229,plain,
( ( g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u1_lattices(iPr_def_12)) = iPr_def_12 )
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_10228,c_10044]) ).
tcf(c_10230,plain,
g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u1_lattices(iPr_def_12)) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_10229,c_9579]) ).
tcf(c_10282,plain,
! [X0: $i] :
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(iPr_def_12,X0) = X0 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_10044,c_85]) ).
tcf(c_10291,plain,
! [X0: $i] :
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(iPr_def_12,X0) = X0 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_10282,c_10043]) ).
tcf(c_10292,plain,
! [X0: $i] :
( ( k7_filter_2(iPr_def_12,X0) = X0 )
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10291,c_9714,c_9579,c_9514]) ).
tcf(c_10331,plain,
! [X0: $i] :
( v3_struct_0(iPr_def_12)
| v1_xboole_0(X0)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_13))
| ~ v1_xboole_0(k7_filter_2(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_10044,c_125]) ).
tcf(c_10337,plain,
! [X0: $i] :
( v3_struct_0(iPr_def_12)
| v1_xboole_0(X0)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(X0,iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(iPr_def_12,X0)) ),
inference(light_normalisation,[status(thm)],[c_10331,c_10043]) ).
tcf(c_10338,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(iPr_def_12,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10337,c_9714,c_9579,c_9514]) ).
tcf(c_10382,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_14,iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK3,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_10373,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_10383,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| m1_subset_1(k7_filter_2(sK2,X0),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_10376,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_10384,plain,
! [X0: $i] :
( m1_subset_1(k7_filter_2(sK2,X0),iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10383,c_7369,c_7367,c_7368]) ).
tcf(c_10387,plain,
( v3_struct_0(sK2)
| m1_subset_1(k15_filter_2(sK2,iPr_def_15),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(iPr_def_15,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_10374,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_10388,plain,
m1_subset_1(k15_filter_2(sK2,iPr_def_15),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_10387,c_7369,c_7367,c_7368,c_10165]) ).
tcf(c_10449,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(k15_filter_2(sK2,iPr_def_15),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10388,c_273]) ).
tcf(c_10450,plain,
r2_hidden(k15_filter_2(sK2,iPr_def_15),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_10449,c_9501]) ).
tcf(c_10451,plain,
~ r2_hidden(iPr_def_17,k15_filter_2(sK2,iPr_def_15)),
inference(superposition,[status(thm)],[c_10450,c_58]) ).
tcf(c_10461,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_17)
| r2_hidden(k7_filter_2(sK2,X0),iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10384,c_273]) ).
tcf(c_10462,plain,
! [X0: $i] :
( r2_hidden(k7_filter_2(sK2,X0),iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10461,c_9501]) ).
tcf(c_10476,plain,
r2_hidden(iPr_def_15,iPr_def_17),
inference(demodulation,[status(thm)],[c_10450,c_10475]) ).
tcf(c_10477,plain,
m1_subset_1(iPr_def_15,iPr_def_17),
inference(demodulation,[status(thm)],[c_10388,c_10475]) ).
tcf(c_10480,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( sK15 != iPr_def_12 )
| ( sK15 != sK17 ) ),
inference(demodulation,[status(thm)],[c_9715,c_10474]) ).
tcf(c_10481,plain,
( ( iPr_def_14 != iPr_def_15 )
| ( iPr_def_13 != iPr_def_14 )
| ( sK2 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_9716,c_10474]) ).
tcf(c_10482,plain,
( iPr_def_10
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( sK15 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_9717,c_10474]) ).
tcf(c_10483,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( sK2 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_9719,c_10474]) ).
tcf(c_10484,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( sK18 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_9718,c_10474]) ).
tcf(c_10485,plain,
( iPr_def_11
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_9720,c_10474]) ).
tcf(c_10486,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( sK15 != iPr_def_12 )
| ( sK15 != sK18 ) ),
inference(demodulation,[status(thm)],[c_9756,c_10474]) ).
tcf(c_10525,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK23,iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK23,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_10522,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_10529,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_15,iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(iPr_def_15,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_10526,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_10532,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_17)
| ~ m1_subset_1(sK11(iPr_def_20),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10470,c_10384]) ).
tcf(c_10533,plain,
m1_subset_1(sK11(iPr_def_20),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_10532,c_121]) ).
tcf(c_10534,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(iPr_def_20),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(iPr_def_20),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_10530,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_10582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10230,c_172]) ).
tcf(c_10584,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ 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_12 ) ),
inference(superposition,[status(thm)],[c_10230,c_172]) ).
tcf(c_10639,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = X1 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10230,c_173]) ).
tcf(c_10641,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = 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_12 ) ),
inference(superposition,[status(thm)],[c_10230,c_173]) ).
tcf(c_10680,plain,
~ r2_hidden(iPr_def_17,iPr_def_15),
inference(superposition,[status(thm)],[c_10476,c_58]) ).
tcf(c_10694,plain,
k7_filter_2(iPr_def_12,sK11(iPr_def_17)) = sK11(iPr_def_17),
inference(superposition,[status(thm)],[c_121,c_10292]) ).
tcf(c_10695,plain,
k7_filter_2(iPr_def_12,iPr_def_14) = iPr_def_14,
inference(superposition,[status(thm)],[c_9722,c_10292]) ).
tcf(c_10696,plain,
k7_filter_2(iPr_def_12,sK23) = sK23,
inference(superposition,[status(thm)],[c_9831,c_10292]) ).
tcf(c_10697,plain,
k7_filter_2(iPr_def_12,iPr_def_13) = iPr_def_13,
inference(superposition,[status(thm)],[c_10042,c_10292]) ).
tcf(c_10698,plain,
( v1_xboole_0(iPr_def_13)
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_10055,c_10292]) ).
tcf(c_10699,plain,
! [X0: $i] :
( ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,X0)) = k7_filter_2(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10384,c_10292]) ).
tcf(c_10700,plain,
k7_filter_2(iPr_def_12,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_10477,c_10292]) ).
tcf(c_10716,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(iPr_def_20))) = k7_filter_2(sK2,sK11(iPr_def_20)),
inference(superposition,[status(thm)],[c_121,c_10699]) ).
tcf(c_10717,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK23)) = k7_filter_2(sK2,sK23),
inference(superposition,[status(thm)],[c_9832,c_10699]) ).
tcf(c_10718,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,iPr_def_15)) = k7_filter_2(sK2,iPr_def_15),
inference(superposition,[status(thm)],[c_10165,c_10699]) ).
tcf(c_10719,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,iPr_def_14)) = k7_filter_2(sK2,iPr_def_14),
inference(superposition,[status(thm)],[c_10489,c_10699]) ).
tcf(c_10723,plain,
k7_filter_2(iPr_def_12,sK11(iPr_def_20)) = sK11(iPr_def_20),
inference(light_normalisation,[status(thm)],[c_10716,c_10470]) ).
tcf(c_10724,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK11(iPr_def_20),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10533,c_273]) ).
tcf(c_10726,plain,
r2_hidden(sK11(iPr_def_20),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_10724,c_9501]) ).
tcf(c_10732,plain,
( v1_xboole_0(iPr_def_15)
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_15))) = k7_filter_2(sK2,sK21(iPr_def_15)) ) ),
inference(superposition,[status(thm)],[c_10252,c_10699]) ).
tcf(c_10755,plain,
( ~ iPr_def_11
| ~ sP0(sK2)
| ( k1_lattice2(sK2) != k1_lattice2(sK2) ) ),
inference(instantiation,[status(thm)],[c_7342]) ).
tcf(c_10756,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10695,c_95]) ).
tcf(c_10758,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_10756,c_10043,c_10044]) ).
tcf(c_10759,plain,
m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10758,c_9714,c_9579,c_9514,c_9722]) ).
tcf(c_10760,plain,
( v1_xboole_0(iPr_def_14)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_10759,c_125]) ).
tcf(c_10761,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14) = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_10759,c_85]) ).
tcf(c_10762,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_10759,c_273]) ).
tcf(c_10763,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_14)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10759,c_283]) ).
tcf(c_10764,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_10759,c_279]) ).
tcf(c_10769,plain,
r2_hidden(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10762,c_129]) ).
tcf(c_10774,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10760,c_9721]) ).
tcf(c_10806,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_12) = X2 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10230,c_174]) ).
tcf(c_10808,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_12) = 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_12 ) ),
inference(superposition,[status(thm)],[c_10230,c_174]) ).
tcf(c_10847,plain,
~ r2_hidden(iPr_def_17,sK11(iPr_def_20)),
inference(superposition,[status(thm)],[c_10726,c_58]) ).
tcf(c_10883,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10696,c_95]) ).
tcf(c_10885,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK23,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK23,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_10883,c_10043,c_10044]) ).
tcf(c_10886,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10697,c_95]) ).
tcf(c_10888,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(iPr_def_13,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_10886,c_10043,c_10044]) ).
tcf(c_10889,plain,
m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10888,c_9714,c_9579,c_9514,c_10042]) ).
tcf(c_10890,plain,
( v1_xboole_0(iPr_def_13)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_10889,c_125]) ).
tcf(c_10891,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_13) = iPr_def_13 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_10889,c_85]) ).
tcf(c_10892,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_10889,c_273]) ).
tcf(c_10893,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_13)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10889,c_283]) ).
tcf(c_10894,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_10889,c_279]) ).
tcf(c_10899,plain,
r2_hidden(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10892,c_129]) ).
tcf(c_10935,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10700,c_95]) ).
tcf(c_10937,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_10935,c_10043,c_10044]) ).
tcf(c_10938,plain,
m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10937,c_9714,c_9579,c_9514,c_10477]) ).
tcf(c_10939,plain,
( v1_xboole_0(iPr_def_15)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_15)) ),
inference(superposition,[status(thm)],[c_10938,c_125]) ).
tcf(c_10940,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_15) = iPr_def_15 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_10938,c_85]) ).
tcf(c_10941,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_10938,c_273]) ).
tcf(c_10942,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_15)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10938,c_283]) ).
tcf(c_10943,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_10938,c_279]) ).
tcf(c_10948,plain,
r2_hidden(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10941,c_129]) ).
tcf(c_10960,plain,
k15_filter_2(iPr_def_12,iPr_def_13) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_10157,c_10697]) ).
tcf(c_10961,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10694,c_95]) ).
tcf(c_10963,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(iPr_def_17),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_10961,c_10043,c_10044]) ).
tcf(c_10964,plain,
m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10963,c_9714,c_9579,c_9514,c_121]) ).
tcf(c_10965,plain,
( v1_xboole_0(sK11(iPr_def_17))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_10964,c_125]) ).
tcf(c_10966,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_17)) = sK11(iPr_def_17) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_10964,c_85]) ).
tcf(c_10967,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_10964,c_273]) ).
tcf(c_10968,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_10964,c_283]) ).
tcf(c_10969,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_10964,c_279]) ).
tcf(c_10974,plain,
r2_hidden(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_10967,c_129]) ).
tcf(c_11001,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9881,c_10058]) ).
tcf(c_11011,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_10723,c_95]) ).
tcf(c_11013,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(iPr_def_20),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_11011,c_10043,c_10044]) ).
tcf(c_11014,plain,
m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_11013,c_9714,c_9579,c_9514,c_10533]) ).
tcf(c_11015,plain,
( v1_xboole_0(sK11(iPr_def_20))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_11014,c_125]) ).
tcf(c_11016,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_20)) = sK11(iPr_def_20) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11014,c_85]) ).
tcf(c_11017,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11014,c_273]) ).
tcf(c_11018,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_11014,c_283]) ).
tcf(c_11019,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_11014,c_279]) ).
tcf(c_11024,plain,
r2_hidden(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_11017,c_129]) ).
tcf(c_11047,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_17,k7_filter_2(sK2,X0)) ),
inference(superposition,[status(thm)],[c_10462,c_58]) ).
tcf(c_11064,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_10764,c_273]) ).
tcf(c_11077,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_10894,c_273]) ).
tcf(c_11102,plain,
( v1_xboole_0(iPr_def_13)
| ~ r2_hidden(iPr_def_17,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_10073,c_58]) ).
tcf(c_11112,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_10943,c_273]) ).
tcf(c_11117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = X2 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10116,c_174]) ).
tcf(c_11118,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_12) = X1 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10116,c_173]) ).
tcf(c_11119,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10116,c_172]) ).
tcf(c_11120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = 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) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10116,c_174]) ).
tcf(c_11121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_12) = 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) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10116,c_173]) ).
tcf(c_11122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ 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) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10116,c_172]) ).
tcf(c_11181,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_10698,c_286]) ).
tcf(c_11182,plain,
( v1_funct_1(iPr_def_13)
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_10698,c_59]) ).
tcf(c_11223,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_10969,c_273]) ).
tcf(c_11236,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_11019,c_273]) ).
tcf(c_11258,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_14),
inference(superposition,[status(thm)],[c_10769,c_58]) ).
tcf(c_11259,plain,
( ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10769,c_10058]) ).
tcf(c_11260,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(superposition,[status(thm)],[c_10769,c_285]) ).
tcf(c_11268,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_14,iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(iPr_def_14,iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_11264,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_11270,plain,
( ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK28)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10859,c_10058]) ).
tcf(c_11275,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_13),
inference(superposition,[status(thm)],[c_10899,c_58]) ).
tcf(c_11297,plain,
( ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10726,c_10255]) ).
tcf(c_11301,plain,
( ~ v1_xboole_0(iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10899,c_10255]) ).
tcf(c_11325,plain,
( m1_subset_1(iPr_def_14,iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_9896,c_10256]) ).
tcf(c_11329,plain,
( m1_subset_1(iPr_def_13,iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10041,c_10256]) ).
tcf(c_11330,plain,
( v1_xboole_0(iPr_def_13)
| m1_subset_1(sK21(iPr_def_13),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10073,c_10256]) ).
tcf(c_11332,plain,
! [X0: $i] :
( m1_subset_1(k7_filter_2(sK2,X0),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10462,c_10256]) ).
tcf(c_11333,plain,
( m1_subset_1(iPr_def_15,iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10476,c_10256]) ).
tcf(c_11335,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10726,c_10256]) ).
tcf(c_11337,plain,
( m1_subset_1(iPr_def_14,iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10769,c_10256]) ).
tcf(c_11339,plain,
( m1_subset_1(iPr_def_13,iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10899,c_10256]) ).
tcf(c_11412,plain,
! [X0: $i] :
( ( X0 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_15))) = k7_filter_2(sK2,sK21(iPr_def_15)) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_10732,c_286]) ).
tcf(c_11413,plain,
( v1_funct_1(iPr_def_15)
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_15))) = k7_filter_2(sK2,sK21(iPr_def_15)) ) ),
inference(superposition,[status(thm)],[c_10732,c_59]) ).
tcf(c_11427,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ( k7_filter_2(sK2,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_10698,c_10746]) ).
tcf(c_11460,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_10486,c_56,c_54,c_53,c_5239,c_10485,c_10754,c_10755]) ).
tcf(c_11466,plain,
( v1_xboole_0(iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_15))) = k7_filter_2(sK2,sK21(iPr_def_15)) ) ),
inference(superposition,[status(thm)],[c_11460,c_10732]) ).
tcf(c_11467,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_14),iPr_def_20)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_10734]) ).
tcf(c_11472,plain,
( v1_xboole_0(iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(sK2,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_11460,c_10733]) ).
tcf(c_11473,plain,
( v1_xboole_0(iPr_def_15)
| m1_subset_1(sK21(iPr_def_14),iPr_def_20)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_10252]) ).
tcf(c_11478,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( g3_lattices(iPr_def_14,u1_lattices(sK2),u2_lattices(sK2)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11460,c_10265]) ).
tcf(c_11479,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( k1_zfmisc_1(iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_11460,c_10166]) ).
tcf(c_11493,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(sK2,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11472,c_9721]) ).
tcf(c_11496,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_15))) = k7_filter_2(sK2,sK21(iPr_def_15)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11466,c_9721]) ).
tcf(c_11508,plain,
( v1_xboole_0(iPr_def_14)
| m1_subset_1(sK21(iPr_def_14),iPr_def_20)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11479,c_235]) ).
tcf(c_11512,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_11479,c_279]) ).
tcf(c_11513,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_20)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11508,c_9721]) ).
tcf(c_11524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ( u2_lattices(sK2) = X2 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11478,c_174]) ).
tcf(c_11525,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ( u1_lattices(sK2) = X1 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11478,c_173]) ).
tcf(c_11526,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ( X0 = iPr_def_14 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_11478,c_172]) ).
tcf(c_11529,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ( X0 = iPr_def_14 )
| ~ 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_12 ) ),
inference(superposition,[status(thm)],[c_11478,c_172]) ).
tcf(c_11573,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_15),
inference(superposition,[status(thm)],[c_10948,c_58]) ).
tcf(c_11574,plain,
( m1_subset_1(iPr_def_15,iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10948,c_10256]) ).
tcf(c_11594,plain,
( ( sK23 = iPr_def_13 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_10698,c_9811]) ).
tcf(c_11595,plain,
( ( sK23 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_15))) = k7_filter_2(sK2,sK21(iPr_def_15)) ) ),
inference(superposition,[status(thm)],[c_10732,c_9811]) ).
tcf(c_11607,plain,
( v1_xboole_0(iPr_def_14)
| r2_hidden(sK21(iPr_def_14),iPr_def_20)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11479,c_9901]) ).
tcf(c_11616,plain,
( r2_hidden(sK21(iPr_def_14),iPr_def_20)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11607,c_9721]) ).
tcf(c_11677,plain,
( v3_struct_0(iPr_def_12)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14) = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_4235,c_10761]) ).
tcf(c_11682,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14) = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11677,c_9714,c_9579,c_9514]) ).
tcf(c_11695,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14) = iPr_def_14 )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_11682]) ).
tcf(c_11696,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14) = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11695,c_9579]) ).
tcf(c_11705,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14) = iPr_def_14 )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_11696,c_126]) ).
tcf(c_11709,plain,
k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_14) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_11705,c_9714,c_9579]) ).
tcf(c_11710,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11709,c_95]) ).
tcf(c_11711,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11710,c_10759]) ).
tcf(c_11725,plain,
( v3_struct_0(iPr_def_12)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_13) = iPr_def_13 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_4235,c_10891]) ).
tcf(c_11730,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_13) = iPr_def_13 )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11725,c_9714,c_9579,c_9514]) ).
tcf(c_11743,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_13) = iPr_def_13 )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_11730]) ).
tcf(c_11744,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_13) = iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11743,c_9579]) ).
tcf(c_11753,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_13) = iPr_def_13 )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_11744,c_126]) ).
tcf(c_11757,plain,
k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_13) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_11753,c_9714,c_9579]) ).
tcf(c_11758,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11757,c_95]) ).
tcf(c_11759,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11758,c_10889]) ).
tcf(c_11768,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sK23 = iPr_def_15 )
| ( k7_filter_2(sK2,sK21(iPr_def_14)) = sK21(iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_11460,c_11426]) ).
tcf(c_11770,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11426,c_10462]) ).
tcf(c_11772,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11426,c_10384]) ).
tcf(c_11782,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_11769,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_11784,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK11(iPr_def_17)),
inference(superposition,[status(thm)],[c_10974,c_58]) ).
tcf(c_11785,plain,
( m1_subset_1(sK11(iPr_def_17),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_10974,c_10256]) ).
tcf(c_11796,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK11(iPr_def_20)),
inference(superposition,[status(thm)],[c_11024,c_58]) ).
tcf(c_11797,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11024,c_10256]) ).
tcf(c_11812,plain,
( v1_xboole_0(iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_20,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_11252]) ).
tcf(c_11822,plain,
( v1_xboole_0(iPr_def_15)
| m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10252,c_11772]) ).
tcf(c_11823,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ( sK23 = iPr_def_15 )
| ~ m1_subset_1(sK21(iPr_def_14),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_11772]) ).
tcf(c_11837,plain,
( v1_xboole_0(iPr_def_15)
| m1_subset_1(sK21(iPr_def_14),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ( sK23 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11460,c_11822]) ).
tcf(c_11838,plain,
( v1_xboole_0(iPr_def_17)
| v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11822,c_273]) ).
tcf(c_11839,plain,
( v1_xboole_0(iPr_def_15)
| ( sK23 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_11822,c_10292]) ).
tcf(c_11840,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11838,c_9501]) ).
tcf(c_11858,plain,
( ( sK23 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_11839,c_9811]) ).
tcf(c_11864,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ( sK23 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_11823,c_11513,c_11823]) ).
tcf(c_11872,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ( sK23 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11460,c_11864]) ).
tcf(c_11873,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ( sK23 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_11864,c_273]) ).
tcf(c_11878,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ( sK23 = iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11873,c_9501]) ).
tcf(c_11891,plain,
( v3_struct_0(iPr_def_12)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_15) = iPr_def_15 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_4235,c_10940]) ).
tcf(c_11896,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_15) = iPr_def_15 )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11891,c_9714,c_9579,c_9514]) ).
tcf(c_11909,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_15) = iPr_def_15 )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_11896]) ).
tcf(c_11910,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_15) = iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11909,c_9579]) ).
tcf(c_11919,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_15) = iPr_def_15 )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_11910,c_126]) ).
tcf(c_11923,plain,
k7_filter_2(k1_lattice2(iPr_def_12),iPr_def_15) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_11919,c_9714,c_9579]) ).
tcf(c_11925,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11923,c_95]) ).
tcf(c_11926,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11925,c_10938]) ).
tcf(c_11937,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ( k7_filter_2(sK2,sK21(iPr_def_14)) = sK21(iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_11460,c_11427]) ).
tcf(c_11938,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_11427,c_95]) ).
tcf(c_11939,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11427,c_10462]) ).
tcf(c_11941,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11427,c_10384]) ).
tcf(c_11954,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_11938,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_12080,plain,
( v1_xboole_0(iPr_def_15)
| m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_10252,c_11941]) ).
tcf(c_12081,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ m1_subset_1(sK21(iPr_def_14),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_11941]) ).
tcf(c_12099,plain,
( v1_xboole_0(iPr_def_14)
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11711,c_125]) ).
tcf(c_12100,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),iPr_def_14) = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_11711,c_85]) ).
tcf(c_12101,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11711,c_273]) ).
tcf(c_12102,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,iPr_def_14)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11711,c_283]) ).
tcf(c_12103,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_11711,c_279]) ).
tcf(c_12114,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12101,c_129]) ).
tcf(c_12126,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12099,c_9721]) ).
tcf(c_12144,plain,
( v1_xboole_0(iPr_def_13)
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_11759,c_125]) ).
tcf(c_12145,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),iPr_def_13) = iPr_def_13 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_11759,c_85]) ).
tcf(c_12146,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11759,c_273]) ).
tcf(c_12147,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,iPr_def_13)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11759,c_283]) ).
tcf(c_12148,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_11759,c_279]) ).
tcf(c_12159,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12146,c_129]) ).
tcf(c_12189,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(iPr_def_14,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11460,c_11926]) ).
tcf(c_12190,plain,
( v1_xboole_0(iPr_def_15)
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),iPr_def_15)) ),
inference(superposition,[status(thm)],[c_11926,c_125]) ).
tcf(c_12191,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),iPr_def_15) = iPr_def_15 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_11926,c_85]) ).
tcf(c_12192,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11926,c_273]) ).
tcf(c_12193,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,iPr_def_15)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_11926,c_283]) ).
tcf(c_12194,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_11926,c_279]) ).
tcf(c_12210,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(iPr_def_15,k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12192,c_129]) ).
tcf(c_12240,plain,
( v1_xboole_0(iPr_def_15)
| m1_subset_1(sK21(iPr_def_14),iPr_def_17)
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_11460,c_12080]) ).
tcf(c_12241,plain,
( v1_xboole_0(iPr_def_17)
| v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_12080,c_273]) ).
tcf(c_12242,plain,
( v1_xboole_0(iPr_def_15)
| ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_12080,c_10292]) ).
tcf(c_12243,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12241,c_9501]) ).
tcf(c_12282,plain,
( v3_struct_0(iPr_def_12)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_17)) = sK11(iPr_def_17) )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_4235,c_10966]) ).
tcf(c_12287,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_17)) = sK11(iPr_def_17) )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12282,c_9714,c_9579,c_9514]) ).
tcf(c_12298,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(sK2,sK21(iPr_def_14)) = sK21(iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_11460,c_11493]) ).
tcf(c_12299,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_11493,c_95]) ).
tcf(c_12300,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11493,c_10462]) ).
tcf(c_12302,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11493,c_10384]) ).
tcf(c_12311,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_12299,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_12343,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_14))) = k7_filter_2(sK2,sK21(iPr_def_14)) ) ),
inference(superposition,[status(thm)],[c_11513,c_10699]) ).
tcf(c_12353,plain,
( v1_xboole_0(iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_20,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11479,c_11608]) ).
tcf(c_12354,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_20,sK21(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12353,c_9721]) ).
tcf(c_12379,plain,
( v1_xboole_0(iPr_def_15)
| m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10252,c_12302]) ).
tcf(c_12380,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(iPr_def_14),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_12302]) ).
tcf(c_12393,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_17)) = sK11(iPr_def_17) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_12287]) ).
tcf(c_12394,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_17)) = sK11(iPr_def_17) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12393,c_9579]) ).
tcf(c_12417,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_17)) = sK11(iPr_def_17) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_12394,c_126]) ).
tcf(c_12421,plain,
k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_17)) = sK11(iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_12417,c_9714,c_9579]) ).
tcf(c_12422,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_12421,c_95]) ).
tcf(c_12423,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12422,c_10964]) ).
tcf(c_12428,plain,
( ( iPr_def_13 = iPr_def_14 )
| m1_subset_1(sK21(iPr_def_15),iPr_def_17) ),
inference(global_subsumption_just,[status(thm)],[c_12379,c_11513,c_12380]) ).
tcf(c_12429,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_12428]) ).
tcf(c_12434,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_12429]) ).
tcf(c_12435,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12429,c_273]) ).
tcf(c_12436,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_12429,c_10292]) ).
tcf(c_12439,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12435,c_9501]) ).
tcf(c_12448,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_14)) = sK21(iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_11460,c_12436]) ).
tcf(c_12449,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_12436,c_95]) ).
tcf(c_12453,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_12449,c_10043,c_10044]) ).
tcf(c_12454,plain,
( m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12453,c_9714,c_9579,c_9514]) ).
tcf(c_12458,plain,
( m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_12454,c_12429,c_12454]) ).
tcf(c_12464,plain,
( m1_subset_1(sK21(iPr_def_14),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_12458]) ).
tcf(c_12465,plain,
( v1_xboole_0(sK21(iPr_def_15))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15))) ),
inference(superposition,[status(thm)],[c_12458,c_125]) ).
tcf(c_12466,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12458,c_85]) ).
tcf(c_12467,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12458,c_273]) ).
tcf(c_12468,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_12458,c_283]) ).
tcf(c_12469,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_12458,c_279]) ).
tcf(c_12478,plain,
( r2_hidden(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12467,c_129]) ).
tcf(c_12498,plain,
( v1_xboole_0(sK21(iPr_def_14))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_14))) ),
inference(superposition,[status(thm)],[c_12464,c_125]) ).
tcf(c_12499,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_14)) = sK21(iPr_def_14) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12464,c_85]) ).
tcf(c_12500,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK21(iPr_def_14),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12464,c_273]) ).
tcf(c_12501,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_12464,c_283]) ).
tcf(c_12502,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(X0,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_12464,c_279]) ).
tcf(c_12509,plain,
( r2_hidden(sK21(iPr_def_14),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12500,c_129]) ).
tcf(c_12547,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_11496,c_95]) ).
tcf(c_12549,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_12547,c_10043,c_10044]) ).
tcf(c_12550,plain,
( m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12549,c_9714,c_9579,c_9514]) ).
tcf(c_12557,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11964,c_10058]) ).
tcf(c_12577,plain,
( v3_struct_0(sK5)
| ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK5)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11984,c_10058]) ).
tcf(c_12604,plain,
( v3_struct_0(sK4)
| ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK4)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12013,c_10058]) ).
tcf(c_12649,plain,
( m1_subset_1(iPr_def_14,iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11479,c_11324]) ).
tcf(c_12659,plain,
( m1_subset_1(sK23,iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11479,c_11328]) ).
tcf(c_12670,plain,
( m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11427,c_12550]) ).
tcf(c_12672,plain,
( m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11460,c_12550]) ).
tcf(c_12673,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k7_filter_2(sK2,sK21(iPr_def_15)))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK21(iPr_def_15)))) ),
inference(superposition,[status(thm)],[c_12550,c_125]) ).
tcf(c_12674,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK21(iPr_def_15))) = k7_filter_2(sK2,sK21(iPr_def_15)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12550,c_85]) ).
tcf(c_12675,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12550,c_273]) ).
tcf(c_12676,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK21(iPr_def_15))) ),
inference(superposition,[status(thm)],[c_12550,c_283]) ).
tcf(c_12677,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK21(iPr_def_15))) ),
inference(superposition,[status(thm)],[c_12550,c_279]) ).
tcf(c_12689,plain,
( r2_hidden(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12675,c_129]) ).
tcf(c_12775,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_12469,c_273]) ).
tcf(c_12785,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_12343,c_95]) ).
tcf(c_12787,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_12785,c_10043,c_10044]) ).
tcf(c_12788,plain,
( m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12787,c_9714,c_9579,c_9514]) ).
tcf(c_12798,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k7_filter_2(sK2,sK21(iPr_def_14)))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK21(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_12788,c_125]) ).
tcf(c_12799,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK21(iPr_def_14))) = k7_filter_2(sK2,sK21(iPr_def_14)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12788,c_85]) ).
tcf(c_12800,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12788,c_273]) ).
tcf(c_12801,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK21(iPr_def_14))) ),
inference(superposition,[status(thm)],[c_12788,c_283]) ).
tcf(c_12802,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK21(iPr_def_14))) ),
inference(superposition,[status(thm)],[c_12788,c_279]) ).
tcf(c_12811,plain,
( r2_hidden(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12800,c_129]) ).
tcf(c_12838,plain,
( v1_xboole_0(sK11(iPr_def_17))
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK11(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_12423,c_125]) ).
tcf(c_12839,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK11(iPr_def_17)) = sK11(iPr_def_17) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_12423,c_85]) ).
tcf(c_12840,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_12423,c_273]) ).
tcf(c_12841,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK11(iPr_def_17))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_12423,c_283]) ).
tcf(c_12842,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK11(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_12423,c_279]) ).
tcf(c_12853,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12840,c_129]) ).
tcf(c_12884,plain,
( v3_struct_0(iPr_def_12)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_20)) = sK11(iPr_def_20) )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_4235,c_11016]) ).
tcf(c_12889,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_20)) = sK11(iPr_def_20) )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12884,c_9714,c_9579,c_9514]) ).
tcf(c_12903,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sK23 = iPr_def_15 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_14))) = k7_filter_2(sK2,sK21(iPr_def_14)) ) ),
inference(superposition,[status(thm)],[c_11460,c_11595]) ).
tcf(c_12904,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK23 = iPr_def_15 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_11595,c_95]) ).
tcf(c_12909,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK23 = iPr_def_15 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_12904,c_10043,c_10044]) ).
tcf(c_12910,plain,
( m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK23 = iPr_def_15 )
| ~ m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_15)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12909,c_9714,c_9579,c_9514]) ).
tcf(c_12921,plain,
( v3_struct_0(sK6)
| ~ v1_xboole_0(iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK6)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12325,c_10058]) ).
tcf(c_12939,plain,
( r2_hidden(sK21(iPr_def_14),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_12439]) ).
tcf(c_12940,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_17,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_12439,c_58]) ).
tcf(c_12941,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_12439,c_10256]) ).
tcf(c_12974,plain,
( v3_struct_0(iPr_def_12)
| ~ v1_xboole_0(iPr_def_13)
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_3541]) ).
tcf(c_12975,plain,
~ v1_xboole_0(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_12974,c_9714,c_9579]) ).
tcf(c_12977,plain,
~ r2_hidden(iPr_def_17,sK21(iPr_def_13)),
inference(backward_subsumption_resolution,[status(thm)],[c_11102,c_12975]) ).
tcf(c_12978,plain,
k7_filter_2(iPr_def_12,sK21(iPr_def_13)) = sK21(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_10698,c_12975]) ).
tcf(c_12979,plain,
r2_hidden(sK21(iPr_def_13),iPr_def_17),
inference(backward_subsumption_resolution,[status(thm)],[c_10073,c_12975]) ).
tcf(c_12980,plain,
m1_subset_1(sK21(iPr_def_13),iPr_def_17),
inference(backward_subsumption_resolution,[status(thm)],[c_10055,c_12975]) ).
tcf(c_12981,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_11822,c_12976]) ).
tcf(c_12985,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_15))) = k7_filter_2(sK2,sK21(iPr_def_15)),
inference(backward_subsumption_resolution,[status(thm)],[c_10732,c_12976]) ).
tcf(c_12995,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_12979,c_10256]) ).
tcf(c_13019,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12981,c_273]) ).
tcf(c_13021,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ( sK23 = iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13019,c_9501]) ).
tcf(c_13026,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_17)
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_12984,c_10462]) ).
tcf(c_13028,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(superposition,[status(thm)],[c_12984,c_10384]) ).
tcf(c_13029,plain,
m1_subset_1(sK21(iPr_def_15),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_13028,c_12986]) ).
tcf(c_13030,plain,
r2_hidden(sK21(iPr_def_15),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_13026,c_12986]) ).
tcf(c_13031,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_13025,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_13033,plain,
k7_filter_2(iPr_def_12,sK21(iPr_def_15)) = sK21(iPr_def_15),
inference(light_normalisation,[status(thm)],[c_12985,c_12984]) ).
tcf(c_13035,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_13033,c_95]) ).
tcf(c_13037,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_13035,c_10043,c_10044]) ).
tcf(c_13038,plain,
( m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13037,c_9714,c_9579,c_9514]) ).
tcf(c_13041,plain,
m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(global_subsumption_just,[status(thm)],[c_13038,c_13029,c_13038]) ).
tcf(c_13044,plain,
( v1_xboole_0(sK21(iPr_def_15))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15))) ),
inference(superposition,[status(thm)],[c_13041,c_125]) ).
tcf(c_13045,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_13041,c_85]) ).
tcf(c_13046,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_13041,c_273]) ).
tcf(c_13047,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_13041,c_283]) ).
tcf(c_13048,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_13041,c_279]) ).
tcf(c_13053,plain,
r2_hidden(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_13046,c_129]) ).
tcf(c_13071,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_20)) = sK11(iPr_def_20) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_12889]) ).
tcf(c_13072,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_20)) = sK11(iPr_def_20) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13071,c_9579]) ).
tcf(c_13080,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK21(iPr_def_15)),
inference(superposition,[status(thm)],[c_13053,c_58]) ).
tcf(c_13081,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_13053,c_10256]) ).
tcf(c_13088,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_13080]) ).
tcf(c_13096,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,sK11(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_10043,c_9959]) ).
tcf(c_13098,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(X0,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_11479,c_9959]) ).
tcf(c_13116,plain,
~ r2_hidden(iPr_def_17,sK21(iPr_def_15)),
inference(superposition,[status(thm)],[c_13030,c_58]) ).
tcf(c_13117,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_13030,c_10256]) ).
tcf(c_13122,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_17,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_13116]) ).
tcf(c_13129,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_20)) = sK11(iPr_def_20) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13072,c_126]) ).
tcf(c_13133,plain,
k7_filter_2(k1_lattice2(iPr_def_12),sK11(iPr_def_20)) = sK11(iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_13129,c_9714,c_9579]) ).
tcf(c_13134,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_13133,c_95]) ).
tcf(c_13135,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13134,c_11014]) ).
tcf(c_13140,plain,
( m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK23 = iPr_def_15 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_12910,c_12984]) ).
tcf(c_13141,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_12978,c_95]) ).
tcf(c_13143,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK21(iPr_def_13),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_13141,c_10043,c_10044]) ).
tcf(c_13144,plain,
m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_13143,c_9714,c_9579,c_9514,c_12980]) ).
tcf(c_13145,plain,
( v1_xboole_0(sK21(iPr_def_13))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_13144,c_125]) ).
tcf(c_13146,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_13144,c_85]) ).
tcf(c_13147,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_13144,c_273]) ).
tcf(c_13148,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_13144,c_283]) ).
tcf(c_13149,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_13144,c_279]) ).
tcf(c_13154,plain,
r2_hidden(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_13147,c_129]) ).
tcf(c_13170,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_13004]) ).
tcf(c_13183,plain,
( r2_hidden(sK21(iPr_def_14),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_13173]) ).
tcf(c_13203,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK21(iPr_def_13)),
inference(superposition,[status(thm)],[c_13154,c_58]) ).
tcf(c_13204,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_13154,c_10256]) ).
tcf(c_13279,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_11335]) ).
tcf(c_13280,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK11(iPr_def_20),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11335,c_273]) ).
tcf(c_13281,plain,
( r2_hidden(sK11(iPr_def_20),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13280,c_12976]) ).
tcf(c_13292,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11616,c_10256]) ).
tcf(c_13331,plain,
( r2_hidden(sK11(iPr_def_20),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_13281]) ).
tcf(c_13332,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_13281,c_58]) ).
tcf(c_13345,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_13185]) ).
tcf(c_13354,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_11460,c_13332]) ).
tcf(c_13366,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_13048,c_273]) ).
tcf(c_13379,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_13149,c_273]) ).
tcf(c_13398,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_14),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_14),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_12298,c_95]) ).
tcf(c_13404,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_14),iPr_def_17)
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_14),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_13398,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_13441,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_13331,c_10256]) ).
tcf(c_13444,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13441,c_10489]) ).
tcf(c_13456,plain,
( v1_xboole_0(sK11(iPr_def_20))
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK11(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_13135,c_125]) ).
tcf(c_13457,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK11(iPr_def_20)) = sK11(iPr_def_20) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_13135,c_85]) ).
tcf(c_13458,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_13135,c_273]) ).
tcf(c_13459,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK11(iPr_def_20))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_13135,c_283]) ).
tcf(c_13460,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_13135,c_279]) ).
tcf(c_13471,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(sK11(iPr_def_20),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13458,c_129]) ).
tcf(c_13493,plain,
( m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_12672,c_12984]) ).
tcf(c_13494,plain,
( m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13493,c_13029]) ).
tcf(c_13502,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k7_filter_2(sK2,sK21(iPr_def_14)))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK21(iPr_def_14)))) ),
inference(superposition,[status(thm)],[c_13494,c_125]) ).
tcf(c_13503,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK21(iPr_def_14))) = k7_filter_2(sK2,sK21(iPr_def_14)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_13494,c_85]) ).
tcf(c_13504,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13494,c_273]) ).
tcf(c_13505,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,k7_filter_2(sK2,sK21(iPr_def_14))) ),
inference(superposition,[status(thm)],[c_13494,c_283]) ).
tcf(c_13506,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(X0,k7_filter_2(sK2,sK21(iPr_def_14))) ),
inference(superposition,[status(thm)],[c_13494,c_279]) ).
tcf(c_13513,plain,
( r2_hidden(k7_filter_2(sK2,sK21(iPr_def_14)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( iPr_def_13 = iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13504,c_129]) ).
tcf(c_13538,plain,
( v3_struct_0(iPr_def_12)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_4235,c_13045]) ).
tcf(c_13543,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13538,c_9714,c_9579,c_9514]) ).
tcf(c_13556,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_13543]) ).
tcf(c_13557,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15)) = sK21(iPr_def_15) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13556,c_9579]) ).
tcf(c_13566,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_13557,c_126]) ).
tcf(c_13570,plain,
k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_15)) = sK21(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_13566,c_9714,c_9579]) ).
tcf(c_13571,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_14)) = sK21(iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_11460,c_13570]) ).
tcf(c_13572,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_13570,c_95]) ).
tcf(c_13575,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13572,c_13041]) ).
tcf(c_13584,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK21(iPr_def_14),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK21(iPr_def_14),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_13571,c_95]) ).
tcf(c_13667,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_12939,c_10256]) ).
tcf(c_13677,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_12995]) ).
tcf(c_13678,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_13),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_12995,c_273]) ).
tcf(c_13679,plain,
( r2_hidden(sK21(iPr_def_13),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13678,c_12976]) ).
tcf(c_13689,plain,
( v1_xboole_0(sK11(iPr_def_17))
| m1_subset_1(sK11(sK11(iPr_def_17)),iPr_def_13) ),
inference(superposition,[status(thm)],[c_9881,c_13096]) ).
tcf(c_13696,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_13117]) ).
tcf(c_13698,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_13117,c_273]) ).
tcf(c_13699,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13698,c_12976]) ).
tcf(c_13709,plain,
( r2_hidden(sK21(iPr_def_13),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_13679]) ).
tcf(c_13710,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_13679,c_58]) ).
tcf(c_13723,plain,
( r2_hidden(sK21(iPr_def_14),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_13699]) ).
tcf(c_13725,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_13699,c_58]) ).
tcf(c_13738,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_11460,c_13710]) ).
tcf(c_13746,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_13725]) ).
tcf(c_13758,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_13709,c_10256]) ).
tcf(c_13761,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13758,c_10489]) ).
tcf(c_13783,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK21(iPr_def_14),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ( iPr_def_13 = iPr_def_14 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11460,c_13575]) ).
tcf(c_13784,plain,
( v1_xboole_0(sK21(iPr_def_15))
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK21(iPr_def_15))) ),
inference(superposition,[status(thm)],[c_13575,c_125]) ).
tcf(c_13785,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK21(iPr_def_15)) = sK21(iPr_def_15) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_13575,c_85]) ).
tcf(c_13786,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_13575,c_273]) ).
tcf(c_13787,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK21(iPr_def_15))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_13575,c_283]) ).
tcf(c_13788,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_13575,c_279]) ).
tcf(c_13804,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(sK21(iPr_def_15),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13786,c_129]) ).
tcf(c_13835,plain,
( v3_struct_0(iPr_def_12)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_4235,c_13146]) ).
tcf(c_13840,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13835,c_9714,c_9579,c_9514]) ).
tcf(c_13987,plain,
( v1_xboole_0(sK11(iPr_def_20))
| m1_subset_1(sK11(sK11(iPr_def_20)),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_13198]) ).
tcf(c_13999,plain,
( v1_xboole_0(iPr_def_13)
| v1_xboole_0(sK11(iPr_def_17))
| r2_hidden(sK11(sK11(iPr_def_17)),iPr_def_13) ),
inference(superposition,[status(thm)],[c_13689,c_273]) ).
tcf(c_14000,plain,
( v1_xboole_0(sK11(iPr_def_17))
| r2_hidden(sK11(sK11(iPr_def_17)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13999,c_12975]) ).
tcf(c_14007,plain,
( v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK11(iPr_def_20)),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_13989]) ).
tcf(c_14021,plain,
( v1_xboole_0(sK11(iPr_def_17))
| ~ r2_hidden(iPr_def_13,sK11(sK11(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_14000,c_58]) ).
tcf(c_14022,plain,
( v1_xboole_0(sK11(iPr_def_17))
| m1_subset_1(sK11(sK11(iPr_def_17)),iPr_def_15)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_14000,c_10256]) ).
tcf(c_14036,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_13840]) ).
tcf(c_14037,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_13)) = sK21(iPr_def_13) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14036,c_9579]) ).
tcf(c_14046,plain,
( v3_struct_0(iPr_def_12)
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_14037,c_126]) ).
tcf(c_14050,plain,
k7_filter_2(k1_lattice2(iPr_def_12),sK21(iPr_def_13)) = sK21(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_14046,c_9714,c_9579]) ).
tcf(c_14051,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_14050,c_95]) ).
tcf(c_14052,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14051,c_13144]) ).
tcf(c_14061,plain,
( v1_xboole_0(sK11(iPr_def_20))
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_14,sK11(sK11(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_11460,c_14008]) ).
tcf(c_14083,plain,
( v1_xboole_0(sK21(iPr_def_13))
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK21(iPr_def_13))) ),
inference(superposition,[status(thm)],[c_14052,c_125]) ).
tcf(c_14084,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK21(iPr_def_13)) = sK21(iPr_def_13) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_14052,c_85]) ).
tcf(c_14085,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_14052,c_273]) ).
tcf(c_14086,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK21(iPr_def_13))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_14052,c_283]) ).
tcf(c_14087,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_14052,c_279]) ).
tcf(c_14098,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14085,c_129]) ).
tcf(c_14227,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_12676,c_12984]) ).
tcf(c_14229,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(iPr_def_15),iPr_def_17)
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_12677,c_12984]) ).
tcf(c_14397,plain,
( ( u1_struct_0(sK7) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10584]) ).
tcf(c_14398,plain,
( ( u1_struct_0(sK15) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10584]) ).
tcf(c_14399,plain,
( ( u1_struct_0(sK16) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10584]) ).
tcf(c_14402,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_10265,c_10584]) ).
tcf(c_14403,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11478,c_10584]) ).
tcf(c_14448,plain,
( ( u1_struct_0(sK17) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10584]) ).
tcf(c_14637,plain,
! [X0: $i] :
( sP0(k1_lattice2(X0))
| ~ sP0(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_94,c_5288]) ).
tcf(c_14638,plain,
( sP0(k1_lattice2(sK2))
| ~ sP0(sK2)
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_7345,c_5288]) ).
tcf(c_14639,plain,
( sP0(iPr_def_12)
| ~ sP0(sK2)
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_14638,c_7345]) ).
tcf(c_14640,plain,
sP0(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_14639,c_7361,c_9579]) ).
tcf(c_14661,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_11460,c_14402]) ).
tcf(c_14695,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_10230,c_10585]) ).
tcf(c_14791,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK7) )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10641]) ).
tcf(c_14792,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK15) )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10641]) ).
tcf(c_14793,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK16) )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10641]) ).
tcf(c_14794,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK17) )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10641]) ).
tcf(c_14795,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10116,c_10641]) ).
tcf(c_14797,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_10265,c_10641]) ).
tcf(c_14798,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11478,c_10641]) ).
tcf(c_14880,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_11460,c_14797]) ).
tcf(c_14919,plain,
( ( u1_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10116,c_10642]) ).
tcf(c_14920,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_10230,c_10642]) ).
tcf(c_14990,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK18) )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10641]) ).
tcf(c_14992,plain,
( ( u1_struct_0(sK18) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10584]) ).
tcf(c_15122,plain,
( ( u2_lattices(sK31) = u2_lattices(iPr_def_12) )
| ~ 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))
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10641]) ).
tcf(c_15124,plain,
( ( u1_struct_0(sK31) = iPr_def_13 )
| ~ 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))
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10584]) ).
tcf(c_15221,plain,
( ( u2_lattices(sK30) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10641]) ).
tcf(c_15223,plain,
( ( u1_struct_0(sK30) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10584]) ).
tcf(c_15343,plain,
( ( u2_lattices(sK27) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10641]) ).
tcf(c_15345,plain,
( ( u1_struct_0(sK27) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10584]) ).
tcf(c_15456,plain,
( ( u2_lattices(sK18) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10641]) ).
tcf(c_15458,plain,
( ( u1_struct_0(sK18) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10584]) ).
tcf(c_15612,plain,
( ( u2_lattices(sK17) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10641]) ).
tcf(c_15614,plain,
( ( u1_struct_0(sK17) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10584]) ).
tcf(c_15787,plain,
( ( u2_lattices(sK16) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10641]) ).
tcf(c_15789,plain,
( ( u1_struct_0(sK16) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10584]) ).
tcf(c_15933,plain,
( ( u2_lattices(sK15) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10641]) ).
tcf(c_15935,plain,
( ( u1_struct_0(sK15) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10584]) ).
tcf(c_16145,plain,
( ( u2_lattices(sK18) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10808]) ).
tcf(c_16146,plain,
( ( u1_lattices(sK18) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK18))
| ~ v1_funct_1(u2_lattices(sK18))
| ~ m1_relset_1(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ m1_relset_1(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u1_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ~ v1_funct_2(u2_lattices(sK18),k2_zfmisc_1(u1_struct_0(sK18),u1_struct_0(sK18)),u1_struct_0(sK18))
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10808]) ).
tcf(c_16147,plain,
( ( u1_lattices(sK15) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10808]) ).
tcf(c_16148,plain,
( ( u1_lattices(sK16) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10808]) ).
tcf(c_16149,plain,
( ( u1_lattices(sK17) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10808]) ).
tcf(c_16150,plain,
( ( u1_lattices(sK27) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10808]) ).
tcf(c_16151,plain,
( ( u1_lattices(sK30) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10808]) ).
tcf(c_16152,plain,
( ( u1_lattices(sK31) = u1_lattices(iPr_def_12) )
| ~ 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))
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10808]) ).
tcf(c_16153,plain,
( ( u2_lattices(sK7) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK7))
| ~ v1_funct_1(u2_lattices(sK7))
| ~ m1_relset_1(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ m1_relset_1(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u1_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ~ v1_funct_2(u2_lattices(sK7),k2_zfmisc_1(u1_struct_0(sK7),u1_struct_0(sK7)),u1_struct_0(sK7))
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10808]) ).
tcf(c_16154,plain,
( ( u2_lattices(sK15) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK15))
| ~ v1_funct_1(u2_lattices(sK15))
| ~ m1_relset_1(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ m1_relset_1(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u1_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ~ v1_funct_2(u2_lattices(sK15),k2_zfmisc_1(u1_struct_0(sK15),u1_struct_0(sK15)),u1_struct_0(sK15))
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10808]) ).
tcf(c_16155,plain,
( ( u2_lattices(sK16) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK16))
| ~ v1_funct_1(u2_lattices(sK16))
| ~ m1_relset_1(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ m1_relset_1(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u1_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ~ v1_funct_2(u2_lattices(sK16),k2_zfmisc_1(u1_struct_0(sK16),u1_struct_0(sK16)),u1_struct_0(sK16))
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10808]) ).
tcf(c_16156,plain,
( ( u2_lattices(sK17) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK17))
| ~ v1_funct_1(u2_lattices(sK17))
| ~ m1_relset_1(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ m1_relset_1(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u1_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ~ v1_funct_2(u2_lattices(sK17),k2_zfmisc_1(u1_struct_0(sK17),u1_struct_0(sK17)),u1_struct_0(sK17))
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10808]) ).
tcf(c_16159,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_10265,c_10808]) ).
tcf(c_16160,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11478,c_10808]) ).
tcf(c_16312,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(superposition,[status(thm)],[c_11460,c_16159]) ).
tcf(c_16351,plain,
( ( u2_lattices(sK2) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10116,c_10809]) ).
tcf(c_16352,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_10230,c_10809]) ).
tcf(c_16509,plain,
( ( u1_struct_0(sK18) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10582]) ).
tcf(c_16510,plain,
( ( u1_struct_0(sK18) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10582]) ).
tcf(c_16511,plain,
( ( u1_struct_0(sK15) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10582]) ).
tcf(c_16512,plain,
( ( u1_struct_0(sK16) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10582]) ).
tcf(c_16513,plain,
( ( u1_struct_0(sK17) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10582]) ).
tcf(c_16514,plain,
( ( u1_struct_0(sK27) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10582]) ).
tcf(c_16515,plain,
( ( u1_struct_0(sK30) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10582]) ).
tcf(c_16516,plain,
( ( u1_struct_0(sK31) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10582]) ).
tcf(c_16517,plain,
( ( u1_struct_0(sK7) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10582]) ).
tcf(c_16518,plain,
( ( u1_struct_0(sK15) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10582]) ).
tcf(c_16519,plain,
( ( u1_struct_0(sK16) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10582]) ).
tcf(c_16520,plain,
( ( u1_struct_0(sK17) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10582]) ).
tcf(c_16524,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_11478,c_10582]) ).
tcf(c_16839,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK18) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10639]) ).
tcf(c_16840,plain,
( ( u2_lattices(sK18) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10639]) ).
tcf(c_16841,plain,
( ( u2_lattices(sK15) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10639]) ).
tcf(c_16842,plain,
( ( u2_lattices(sK16) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10639]) ).
tcf(c_16843,plain,
( ( u2_lattices(sK17) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10639]) ).
tcf(c_16844,plain,
( ( u2_lattices(sK27) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10639]) ).
tcf(c_16845,plain,
( ( u2_lattices(sK30) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10639]) ).
tcf(c_16846,plain,
( ( u2_lattices(sK31) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10639]) ).
tcf(c_16847,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK7) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10639]) ).
tcf(c_16848,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK15) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10639]) ).
tcf(c_16849,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK16) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10639]) ).
tcf(c_16850,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK17) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10639]) ).
tcf(c_16992,plain,
( ( u1_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10116,c_10640]) ).
tcf(c_17118,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK27) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10639]) ).
tcf(c_17120,plain,
( ( u1_struct_0(sK27) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10582]) ).
tcf(c_17122,plain,
( ( u2_lattices(sK27) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10808]) ).
tcf(c_17124,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK27) )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10641]) ).
tcf(c_17126,plain,
( ( u1_struct_0(sK27) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10584]) ).
tcf(c_17310,plain,
( ~ m1_subset_1(sK23,iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK23) ),
inference(superposition,[status(thm)],[c_10472,c_11047]) ).
tcf(c_17313,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(iPr_def_14),iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_12298,c_11047]) ).
tcf(c_17328,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_11323]) ).
tcf(c_17361,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK11(X0),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_17333]) ).
tcf(c_17385,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK11(X0)) ),
inference(superposition,[status(thm)],[c_11460,c_17362]) ).
tcf(c_17401,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| r2_hidden(sK23,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14355,c_17361]) ).
tcf(c_17403,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_14,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_17361,c_10256]) ).
tcf(c_17406,plain,
( r2_hidden(sK23,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17401,c_129]) ).
tcf(c_17410,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17403,c_10489]) ).
tcf(c_17435,plain,
( ( u2_lattices(sK18) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK18) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10111,c_10806]) ).
tcf(c_17436,plain,
( ( u1_lattices(sK18) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK18 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10234,c_10806]) ).
tcf(c_17437,plain,
( ( u1_lattices(sK15) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10237,c_10806]) ).
tcf(c_17438,plain,
( ( u1_lattices(sK16) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK16 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_10806]) ).
tcf(c_17439,plain,
( ( u1_lattices(sK17) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK17 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10235,c_10806]) ).
tcf(c_17440,plain,
( ( u1_lattices(sK27) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK27 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10233,c_10806]) ).
tcf(c_17441,plain,
( ( u1_lattices(sK30) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK30 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10232,c_10806]) ).
tcf(c_17442,plain,
( ( u1_lattices(sK31) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( sK31 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10231,c_10806]) ).
tcf(c_17443,plain,
( ( u2_lattices(sK7) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK7) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10107,c_10806]) ).
tcf(c_17444,plain,
( ( u2_lattices(sK15) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK15) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10108,c_10806]) ).
tcf(c_17445,plain,
( ( u2_lattices(sK16) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK16) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10109,c_10806]) ).
tcf(c_17446,plain,
( ( u2_lattices(sK17) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK17) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10110,c_10806]) ).
tcf(c_17447,plain,
( ( u2_lattices(sK27) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK27) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10112,c_10806]) ).
tcf(c_17637,plain,
( ( u2_lattices(sK2) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ( k1_lattice2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10116,c_10807]) ).
tcf(c_17780,plain,
( ( u2_lattices(sK30) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10806]) ).
tcf(c_17782,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK30) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10639]) ).
tcf(c_17784,plain,
( ( u1_struct_0(sK30) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10582]) ).
tcf(c_17786,plain,
( ( u2_lattices(sK30) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10808]) ).
tcf(c_17788,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK30) )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10641]) ).
tcf(c_17790,plain,
( ( u1_struct_0(sK30) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ( k1_lattice2(sK30) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10113,c_10584]) ).
tcf(c_18050,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_13423]) ).
tcf(c_18062,plain,
( r2_hidden(sK11(sK29(sK28)),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_18052]) ).
tcf(c_18077,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK11(sK29(sK28))) ),
inference(superposition,[status(thm)],[c_11460,c_18063]) ).
tcf(c_18088,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_14,iPr_def_20)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18062,c_10256]) ).
tcf(c_18091,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18088,c_10489]) ).
tcf(c_18101,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9881,c_10059]) ).
tcf(c_18102,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK21(X0),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9901,c_10059]) ).
tcf(c_18103,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9900,c_10059]) ).
tcf(c_18104,plain,
( m1_subset_1(iPr_def_14,iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9896,c_10059]) ).
tcf(c_18105,plain,
( m1_subset_1(sK23,iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9892,c_10059]) ).
tcf(c_18106,plain,
( m1_subset_1(sK23,iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_9891,c_10059]) ).
tcf(c_18107,plain,
! [X0: $i] :
( m1_subset_1(sK23,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9899,c_10059]) ).
tcf(c_18108,plain,
( m1_subset_1(iPr_def_13,iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_10041,c_10059]) ).
tcf(c_18109,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_12979,c_10059]) ).
tcf(c_18110,plain,
( m1_subset_1(iPr_def_15,iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_10164,c_10059]) ).
tcf(c_18111,plain,
! [X0: $i] :
( m1_subset_1(k7_filter_2(sK2,X0),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_10462,c_10059]) ).
tcf(c_18112,plain,
( m1_subset_1(iPr_def_15,iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_10476,c_10059]) ).
tcf(c_18113,plain,
( m1_subset_1(iPr_def_14,iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_10479,c_10059]) ).
tcf(c_18114,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_10726,c_10059]) ).
tcf(c_18115,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_12983,c_10059]) ).
tcf(c_18116,plain,
( m1_subset_1(iPr_def_14,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10769,c_10059]) ).
tcf(c_18117,plain,
( m1_subset_1(sK29(sK28),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK28)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10859,c_10059]) ).
tcf(c_18118,plain,
( m1_subset_1(iPr_def_13,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10899,c_10059]) ).
tcf(c_18119,plain,
( m1_subset_1(iPr_def_15,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10948,c_10059]) ).
tcf(c_18120,plain,
( m1_subset_1(sK11(iPr_def_17),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_10974,c_10059]) ).
tcf(c_18121,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11024,c_10059]) ).
tcf(c_18122,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_11616,c_10059]) ).
tcf(c_18123,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13030,c_10059]) ).
tcf(c_18124,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(sK14(X0,X1),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11964,c_10059]) ).
tcf(c_18125,plain,
( v3_struct_0(sK5)
| m1_subset_1(sK29(sK5),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK5)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11984,c_10059]) ).
tcf(c_18126,plain,
( v3_struct_0(sK4)
| m1_subset_1(sK29(sK4),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK4)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12013,c_10059]) ).
tcf(c_18127,plain,
( v3_struct_0(sK6)
| m1_subset_1(sK29(sK6),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK6)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12325,c_10059]) ).
tcf(c_18128,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_13053,c_10059]) ).
tcf(c_18129,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_12939,c_10059]) ).
tcf(c_18130,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_13154,c_10059]) ).
tcf(c_18131,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13699,c_10059]) ).
tcf(c_18132,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13173,c_10059]) ).
tcf(c_18133,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13723,c_10059]) ).
tcf(c_18134,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13183,c_10059]) ).
tcf(c_18135,plain,
( m1_subset_1(k15_filter_2(sK15,u1_struct_0(sK15)),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK15))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_13229,c_10059]) ).
tcf(c_18136,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13281,c_10059]) ).
tcf(c_18137,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13331,c_10059]) ).
tcf(c_18138,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_17) ),
inference(superposition,[status(thm)],[c_13421,c_10059]) ).
tcf(c_18139,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13679,c_10059]) ).
tcf(c_18140,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13709,c_10059]) ).
tcf(c_18141,plain,
( v1_xboole_0(sK11(iPr_def_20))
| m1_subset_1(sK11(sK11(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_13989,c_10059]) ).
tcf(c_18144,plain,
( m1_subset_1(k15_filter_2(sK31,u1_struct_0(sK31)),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK31))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_14197,c_10059]) ).
tcf(c_18145,plain,
( m1_subset_1(k15_filter_2(sK18,u1_struct_0(sK18)),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK18))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_14316,c_10059]) ).
tcf(c_18146,plain,
( m1_subset_1(k15_filter_2(sK17,u1_struct_0(sK17)),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_14559,c_10059]) ).
tcf(c_18147,plain,
( m1_subset_1(k15_filter_2(sK16,u1_struct_0(sK16)),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(sK16))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_14589,c_10059]) ).
tcf(c_18148,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_13)
| ~ m1_subset_1(iPr_def_15,iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_17333,c_10059]) ).
tcf(c_18149,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_14,iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_17361,c_10059]) ).
tcf(c_18150,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(iPr_def_15,iPr_def_17)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18052,c_10059]) ).
tcf(c_18151,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_14,iPr_def_17)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18062,c_10059]) ).
tcf(c_18202,plain,
( v1_xboole_0(sK11(iPr_def_20))
| m1_subset_1(sK11(sK11(iPr_def_20)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18141,c_10477]) ).
tcf(c_18205,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18139,c_10477]) ).
tcf(c_18208,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18136,c_10477]) ).
tcf(c_18211,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18132,c_10477]) ).
tcf(c_18214,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18131,c_10477]) ).
tcf(c_18247,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18150,c_10477]) ).
tcf(c_18250,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18148,c_10477]) ).
tcf(c_18254,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18140,c_9722]) ).
tcf(c_18258,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18137,c_9722]) ).
tcf(c_18262,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18134,c_9722]) ).
tcf(c_18266,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18133,c_9722]) ).
tcf(c_18270,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18151,c_9722]) ).
tcf(c_18274,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18149,c_9722]) ).
tcf(c_18386,plain,
( ( u2_lattices(sK31) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10806]) ).
tcf(c_18388,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK31) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10639]) ).
tcf(c_18390,plain,
( ( u1_struct_0(sK31) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10582]) ).
tcf(c_18392,plain,
( ( u2_lattices(sK31) = u1_lattices(iPr_def_12) )
| ~ 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))
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10808]) ).
tcf(c_18394,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK31) )
| ~ 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))
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10641]) ).
tcf(c_18396,plain,
( ( u1_struct_0(sK31) = iPr_def_13 )
| ~ 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))
| ( k1_lattice2(sK31) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10114,c_10584]) ).
tcf(c_18629,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_3529]) ).
tcf(c_18635,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK29(iPr_def_12),iPr_def_17)
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_18629,c_10043]) ).
tcf(c_18636,plain,
m1_subset_1(sK29(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_18635,c_9714,c_9579]) ).
tcf(c_18675,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK29(iPr_def_12),iPr_def_17) ),
inference(superposition,[status(thm)],[c_18636,c_273]) ).
tcf(c_18676,plain,
k7_filter_2(iPr_def_12,sK29(iPr_def_12)) = sK29(iPr_def_12),
inference(superposition,[status(thm)],[c_18636,c_10292]) ).
tcf(c_18677,plain,
r2_hidden(sK29(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_18675,c_9501]) ).
tcf(c_18679,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK29(sK2))) = k7_filter_2(sK2,sK29(sK2)),
inference(superposition,[status(thm)],[c_18638,c_10699]) ).
tcf(c_18682,plain,
~ r2_hidden(iPr_def_17,sK29(iPr_def_12)),
inference(superposition,[status(thm)],[c_18677,c_58]) ).
tcf(c_18683,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18677,c_10059]) ).
tcf(c_18684,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18677,c_10256]) ).
tcf(c_18700,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18681,c_10059]) ).
tcf(c_18709,plain,
( ~ m1_subset_1(sK29(sK2),iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_18680,c_11047]) ).
tcf(c_18710,plain,
( r2_hidden(sK29(sK2),iPr_def_17)
| ~ m1_subset_1(sK29(sK2),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18680,c_10462]) ).
tcf(c_18712,plain,
( m1_subset_1(sK29(sK2),iPr_def_17)
| ~ m1_subset_1(sK29(sK2),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18680,c_10384]) ).
tcf(c_18713,plain,
m1_subset_1(sK29(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_18712,c_18638]) ).
tcf(c_18714,plain,
r2_hidden(sK29(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_18710,c_18638]) ).
tcf(c_18715,plain,
~ r2_hidden(iPr_def_17,sK29(sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_18709,c_18638]) ).
tcf(c_18716,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK29(sK2),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK29(sK2),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_18708,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_18727,plain,
k7_filter_2(iPr_def_12,sK29(sK2)) = sK29(sK2),
inference(superposition,[status(thm)],[c_18713,c_10292]) ).
tcf(c_18729,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18714,c_10059]) ).
tcf(c_18730,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18714,c_10256]) ).
tcf(c_18758,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18115,c_273]) ).
tcf(c_18759,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18758,c_12975]) ).
tcf(c_18766,plain,
( v1_xboole_0(iPr_def_13)
| v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK11(iPr_def_20)),iPr_def_13) ),
inference(superposition,[status(thm)],[c_18202,c_273]) ).
tcf(c_18767,plain,
( v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK11(iPr_def_20)),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18766,c_12975]) ).
tcf(c_18770,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_18727,c_95]) ).
tcf(c_18772,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK29(sK2),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_18770,c_10043,c_10044]) ).
tcf(c_18773,plain,
m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_18772,c_9714,c_9579,c_9514,c_18713]) ).
tcf(c_18799,plain,
( v1_xboole_0(sK29(sK2))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK29(sK2))) ),
inference(superposition,[status(thm)],[c_18773,c_125]) ).
tcf(c_18800,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(sK2)) = sK29(sK2) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_18773,c_85]) ).
tcf(c_18801,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_18773,c_273]) ).
tcf(c_18802,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_18773,c_283]) ).
tcf(c_18803,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_18773,c_279]) ).
tcf(c_18808,plain,
r2_hidden(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_18801,c_129]) ).
tcf(c_18837,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18205,c_273]) ).
tcf(c_18838,plain,
( r2_hidden(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18837,c_12975]) ).
tcf(c_18853,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18208,c_273]) ).
tcf(c_18854,plain,
( r2_hidden(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18853,c_12975]) ).
tcf(c_18862,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18211,c_273]) ).
tcf(c_18863,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18862,c_12975]) ).
tcf(c_18872,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18214,c_273]) ).
tcf(c_18873,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18872,c_12975]) ).
tcf(c_18879,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_18676,c_95]) ).
tcf(c_18881,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK29(iPr_def_12),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_18879,c_10043,c_10044]) ).
tcf(c_18882,plain,
m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_18881,c_9714,c_9579,c_9514,c_18636]) ).
tcf(c_18924,plain,
( v1_xboole_0(sK29(iPr_def_12))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK29(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_18882,c_125]) ).
tcf(c_18925,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(iPr_def_12)) = sK29(iPr_def_12) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_18882,c_85]) ).
tcf(c_18926,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_18882,c_273]) ).
tcf(c_18927,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_18882,c_283]) ).
tcf(c_18928,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_18882,c_279]) ).
tcf(c_18933,plain,
r2_hidden(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_18926,c_129]) ).
tcf(c_18970,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18729,c_273]) ).
tcf(c_18971,plain,
( r2_hidden(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18970,c_12975]) ).
tcf(c_18976,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK29(sK2)),
inference(superposition,[status(thm)],[c_18808,c_58]) ).
tcf(c_18977,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_18808,c_10059]) ).
tcf(c_18978,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18808,c_10256]) ).
tcf(c_18985,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK29(iPr_def_12)),
inference(superposition,[status(thm)],[c_18933,c_58]) ).
tcf(c_18986,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_18933,c_10059]) ).
tcf(c_18987,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18933,c_10256]) ).
tcf(c_19008,plain,
( m1_subset_1(iPr_def_14,iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_11479,c_18103]) ).
tcf(c_19018,plain,
( m1_subset_1(sK23,iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_11479,c_18107]) ).
tcf(c_19026,plain,
( m1_subset_1(sK29(sK2),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_18730]) ).
tcf(c_19027,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18730,c_273]) ).
tcf(c_19028,plain,
( r2_hidden(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19027,c_12976]) ).
tcf(c_19038,plain,
( r2_hidden(sK29(sK2),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_19028]) ).
tcf(c_19039,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_19028,c_58]) ).
tcf(c_19040,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_19028,c_10059]) ).
tcf(c_19046,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19040,c_10477]) ).
tcf(c_19056,plain,
( r2_hidden(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_11460,c_18759]) ).
tcf(c_19057,plain,
( ~ m1_subset_1(iPr_def_20,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_18759,c_58]) ).
tcf(c_19059,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_17)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18759,c_10256]) ).
tcf(c_19094,plain,
( v1_xboole_0(sK11(iPr_def_20))
| ~ r2_hidden(iPr_def_13,sK11(sK11(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_18767,c_58]) ).
tcf(c_19105,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_18838,c_58]) ).
tcf(c_19116,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_18854,c_58]) ).
tcf(c_19127,plain,
( r2_hidden(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_18863]) ).
tcf(c_19128,plain,
( ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_18863,c_58]) ).
tcf(c_19142,plain,
( r2_hidden(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_18873]) ).
tcf(c_19143,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_18873,c_58]) ).
tcf(c_19159,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_11460,c_19039]) ).
tcf(c_19167,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_19057]) ).
tcf(c_19183,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18109,c_273]) ).
tcf(c_19184,plain,
( r2_hidden(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19183,c_12975]) ).
tcf(c_19191,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18114,c_273]) ).
tcf(c_19192,plain,
( r2_hidden(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19191,c_12975]) ).
tcf(c_19200,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18123,c_273]) ).
tcf(c_19201,plain,
( r2_hidden(sK21(iPr_def_15),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19200,c_12975]) ).
tcf(c_19208,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK29(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18683,c_273]) ).
tcf(c_19209,plain,
( r2_hidden(sK29(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19208,c_12975]) ).
tcf(c_19247,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_18971,c_58]) ).
tcf(c_19249,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18971,c_10256]) ).
tcf(c_19281,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19046,c_273]) ).
tcf(c_19282,plain,
( r2_hidden(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19281,c_12975]) ).
tcf(c_19289,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_19184,c_58]) ).
tcf(c_19291,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19184,c_10256]) ).
tcf(c_19303,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK11(iPr_def_20)) ),
inference(superposition,[status(thm)],[c_19192,c_58]) ).
tcf(c_19305,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19192,c_10256]) ).
tcf(c_19317,plain,
( r2_hidden(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_11460,c_19201]) ).
tcf(c_19318,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_19201,c_58]) ).
tcf(c_19320,plain,
( m1_subset_1(sK21(iPr_def_15),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19201,c_10256]) ).
tcf(c_19335,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19209,c_58]) ).
tcf(c_19337,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19209,c_10256]) ).
tcf(c_19349,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_19282,c_58]) ).
tcf(c_19360,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_18247,c_273]) ).
tcf(c_19361,plain,
( r2_hidden(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19360,c_12975]) ).
tcf(c_19372,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_19128]) ).
tcf(c_19380,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_19143]) ).
tcf(c_19392,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_18684]) ).
tcf(c_19393,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK29(iPr_def_12),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18684,c_273]) ).
tcf(c_19394,plain,
( r2_hidden(sK29(iPr_def_12),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19393,c_12976]) ).
tcf(c_19404,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18700,c_273]) ).
tcf(c_19405,plain,
( r2_hidden(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19404,c_12975]) ).
tcf(c_19435,plain,
( m1_subset_1(sK29(sK2),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_18701]) ).
tcf(c_19447,plain,
( r2_hidden(sK29(iPr_def_12),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_19394]) ).
tcf(c_19448,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19394,c_58]) ).
tcf(c_19449,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_19394,c_10059]) ).
tcf(c_19455,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19449,c_10477]) ).
tcf(c_19465,plain,
( r2_hidden(sK29(sK2),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_19437]) ).
tcf(c_19467,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_19437,c_10059]) ).
tcf(c_19473,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19467,c_10477]) ).
tcf(c_19483,plain,
( ~ m1_subset_1(iPr_def_20,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_19405,c_58]) ).
tcf(c_19485,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ~ m1_subset_1(iPr_def_20,iPr_def_17)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19405,c_10256]) ).
tcf(c_19497,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK29(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19455,c_273]) ).
tcf(c_19498,plain,
( r2_hidden(sK29(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19497,c_12975]) ).
tcf(c_19505,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19473,c_273]) ).
tcf(c_19506,plain,
( r2_hidden(sK29(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19505,c_12975]) ).
tcf(c_19513,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_19498,c_58]) ).
tcf(c_19524,plain,
( ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_19506,c_58]) ).
tcf(c_19535,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_11460,c_19448]) ).
tcf(c_19543,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_11460,c_19466]) ).
tcf(c_19579,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_11460,c_19318]) ).
tcf(c_19609,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(k1_zfmisc_1(sK23))
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14355,c_18250]) ).
tcf(c_19610,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_13)
| v1_xboole_0(X0)
| r2_hidden(sK11(X0),iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_18250,c_273]) ).
tcf(c_19611,plain,
( m1_subset_1(sK23,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19609,c_129]) ).
tcf(c_19614,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK11(X0),iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19610,c_12975]) ).
tcf(c_19627,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_18803,c_273]) ).
tcf(c_19640,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_18928,c_273]) ).
tcf(c_19649,plain,
( ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK11(sK29(sK28))) ),
inference(superposition,[status(thm)],[c_19361,c_58]) ).
tcf(c_19650,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(iPr_def_13,iPr_def_17)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19361,c_10059]) ).
tcf(c_19651,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_15)
| ~ m1_subset_1(iPr_def_13,iPr_def_20)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19361,c_10256]) ).
tcf(c_19666,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| r2_hidden(sK23,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14355,c_19614]) ).
tcf(c_19667,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK11(X0)) ),
inference(superposition,[status(thm)],[c_19614,c_58]) ).
tcf(c_19668,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_13)
| ~ m1_subset_1(iPr_def_13,iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19614,c_10059]) ).
tcf(c_19669,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_15)
| ~ m1_subset_1(iPr_def_13,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19614,c_10256]) ).
tcf(c_19675,plain,
( r2_hidden(sK23,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19666,c_129]) ).
tcf(c_19732,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_19038,c_10059]) ).
tcf(c_19733,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19038,c_10256]) ).
tcf(c_19736,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19733,c_10489]) ).
tcf(c_19740,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19732,c_9722]) ).
tcf(c_19797,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_13)))
| m1_subset_1(sK11(sK11(iPr_def_17)),iPr_def_13) ),
inference(superposition,[status(thm)],[c_10043,c_13095]) ).
tcf(c_19799,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_14)))
| m1_subset_1(sK11(sK11(iPr_def_20)),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11479,c_13095]) ).
tcf(c_19805,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17)))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_13095,c_10292]) ).
tcf(c_19806,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_13095,c_10699]) ).
tcf(c_19892,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_19447,c_10059]) ).
tcf(c_19893,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19447,c_10256]) ).
tcf(c_19896,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19893,c_10489]) ).
tcf(c_19900,plain,
( m1_subset_1(sK29(iPr_def_12),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19892,c_9722]) ).
tcf(c_19911,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_19465,c_10059]) ).
tcf(c_19912,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_19465,c_10256]) ).
tcf(c_19915,plain,
( m1_subset_1(sK29(sK2),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19912,c_10489]) ).
tcf(c_19919,plain,
( m1_subset_1(sK29(sK2),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19911,c_9722]) ).
tcf(c_19970,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_19805,c_13248]) ).
tcf(c_19971,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_19805,c_9811]) ).
tcf(c_19972,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_17)) = X0 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19805,c_286]) ).
tcf(c_19973,plain,
( v1_funct_1(sK11(k1_zfmisc_1(iPr_def_17)))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_19805,c_59]) ).
tcf(c_20015,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_19872,c_11047]) ).
tcf(c_20016,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19872,c_10462]) ).
tcf(c_20018,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19872,c_10384]) ).
tcf(c_20028,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_20014,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_20036,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 ) ),
inference(superposition,[status(thm)],[c_13095,c_20018]) ).
tcf(c_20043,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20036,c_9811]) ).
tcf(c_20050,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 ) ),
inference(superposition,[status(thm)],[c_20043,c_273]) ).
tcf(c_20051,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_20043,c_10292]) ).
tcf(c_20052,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20050,c_9501]) ).
tcf(c_20062,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_19871,c_11047]) ).
tcf(c_20063,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19871,c_10462]) ).
tcf(c_20065,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19871,c_10384]) ).
tcf(c_20075,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_20061,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_20094,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12509,c_10059]) ).
tcf(c_20095,plain,
( m1_subset_1(sK21(iPr_def_14),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_12509,c_10256]) ).
tcf(c_20096,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_12509,c_285]) ).
tcf(c_20111,plain,
( v3_struct_0(iPr_def_12)
| r2_hidden(sK29(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_18647]) ).
tcf(c_20113,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK29(X0),iPr_def_13)
| ~ l3_lattices(X0)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_18647,c_10059]) ).
tcf(c_20117,plain,
( v3_struct_0(iPr_def_12)
| r2_hidden(sK29(iPr_def_12),iPr_def_17)
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_20111,c_10043]) ).
tcf(c_20172,plain,
( v1_xboole_0(iPr_def_17)
| ( k7_filter_2(iPr_def_12,sK11(sK21(iPr_def_17))) = sK11(sK21(iPr_def_17)) ) ),
inference(superposition,[status(thm)],[c_20160,c_10292]) ).
tcf(c_20173,plain,
( v1_xboole_0(iPr_def_20)
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK21(iPr_def_20)))) = k7_filter_2(sK2,sK11(sK21(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_20160,c_10699]) ).
tcf(c_20178,plain,
k7_filter_2(iPr_def_12,sK11(sK21(iPr_def_17))) = sK11(sK21(iPr_def_17)),
inference(forward_subsumption_resolution,[status(thm)],[c_20172,c_9501]) ).
tcf(c_20185,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK21(iPr_def_20)))) = k7_filter_2(sK2,sK11(sK21(iPr_def_20))),
inference(forward_subsumption_resolution,[status(thm)],[c_20173,c_9504]) ).
tcf(c_20235,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(sK21(X0)),iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_20169,c_10059]) ).
tcf(c_20244,plain,
( v1_xboole_0(sK11(iPr_def_17))
| m1_subset_1(sK11(sK21(sK11(iPr_def_17))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_20169,c_13096]) ).
tcf(c_20366,plain,
( m1_subset_1(sK11(sK21(sK29(sK28))),iPr_def_13)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20364,c_10059]) ).
tcf(c_20400,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 ) ),
inference(superposition,[status(thm)],[c_13095,c_20065]) ).
tcf(c_20405,plain,
( ~ m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_20177,c_11047]) ).
tcf(c_20406,plain,
( r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_17)
| ~ m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_20177,c_10462]) ).
tcf(c_20408,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_17)
| ~ m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_20177,c_10384]) ).
tcf(c_20415,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_20404,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_20421,plain,
( v1_xboole_0(iPr_def_20)
| m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20160,c_20408]) ).
tcf(c_20422,plain,
m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_20421,c_9504]) ).
tcf(c_20427,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20051,c_95]) ).
tcf(c_20429,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_20427,c_10043,c_10044]) ).
tcf(c_20430,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20429,c_9714,c_9579,c_9514]) ).
tcf(c_20437,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20430,c_20043]) ).
tcf(c_20444,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_20437,c_125]) ).
tcf(c_20445,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20437,c_85]) ).
tcf(c_20446,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 ) ),
inference(superposition,[status(thm)],[c_20437,c_273]) ).
tcf(c_20447,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_20437,c_283]) ).
tcf(c_20448,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_20437,c_279]) ).
tcf(c_20455,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20446,c_129]) ).
tcf(c_20474,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20400,c_13248]) ).
tcf(c_20481,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 ) ),
inference(superposition,[status(thm)],[c_20474,c_273]) ).
tcf(c_20482,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_20474,c_10292]) ).
tcf(c_20483,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20481,c_9501]) ).
tcf(c_20496,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(sK2)) = sK29(sK2) )
| ~ sP0(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_147,c_18800]) ).
tcf(c_20498,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(sK2)) = sK29(sK2) )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20496,c_14640]) ).
tcf(c_20511,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(sK2)) = sK29(sK2) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_20498]) ).
tcf(c_20512,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(sK2)) = sK29(sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20511,c_9579]) ).
tcf(c_20517,plain,
k7_filter_2(iPr_def_12,sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)),
inference(light_normalisation,[status(thm)],[c_20185,c_20177]) ).
tcf(c_20518,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20517,c_95]) ).
tcf(c_20520,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_20518,c_10043,c_10044]) ).
tcf(c_20521,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20520,c_9714,c_9579,c_9514]) ).
tcf(c_20542,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,sK11(sK21(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_10043,c_20179]) ).
tcf(c_20544,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(X0,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_11479,c_20179]) ).
tcf(c_20573,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20422,c_273]) ).
tcf(c_20575,plain,
r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_20573,c_9501]) ).
tcf(c_20576,plain,
~ r2_hidden(iPr_def_17,sK11(sK21(iPr_def_20))),
inference(superposition,[status(thm)],[c_20575,c_58]) ).
tcf(c_20577,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_20575,c_10059]) ).
tcf(c_20578,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_20575,c_10256]) ).
tcf(c_20633,plain,
( ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(sK2)) = sK29(sK2) )
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_20512,c_139]) ).
tcf(c_20634,plain,
k7_filter_2(k1_lattice2(iPr_def_12),sK29(sK2)) = sK29(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_20633,c_14640]) ).
tcf(c_20635,plain,
m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(global_subsumption_just,[status(thm)],[c_20521,c_20422,c_20521]) ).
tcf(c_20637,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(sK11(sK21(iPr_def_20)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_20635,c_125]) ).
tcf(c_20638,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20635,c_85]) ).
tcf(c_20639,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_20635,c_273]) ).
tcf(c_20640,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_20635,c_283]) ).
tcf(c_20641,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_20635,c_279]) ).
tcf(c_20646,plain,
r2_hidden(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_20639,c_129]) ).
tcf(c_20724,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_20634,c_95]) ).
tcf(c_20725,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20724,c_18773]) ).
tcf(c_20745,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_9881,c_20640]) ).
tcf(c_20753,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| m1_subset_1(sK11(sK11(sK21(iPr_def_20))),u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_9881,c_20641]) ).
tcf(c_20754,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| m1_subset_1(sK11(sK21(sK11(sK21(iPr_def_20)))),u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20169,c_20641]) ).
tcf(c_20775,plain,
( v1_xboole_0(sK29(sK2))
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK29(sK2))) ),
inference(superposition,[status(thm)],[c_20725,c_125]) ).
tcf(c_20776,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK29(sK2)) = sK29(sK2) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20725,c_85]) ).
tcf(c_20777,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20725,c_273]) ).
tcf(c_20778,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK29(sK2))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_20725,c_283]) ).
tcf(c_20779,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK29(sK2)) ),
inference(superposition,[status(thm)],[c_20725,c_279]) ).
tcf(c_20790,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(sK29(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20777,c_129]) ).
tcf(c_20828,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(iPr_def_12)) = sK29(iPr_def_12) )
| ~ sP0(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_147,c_18925]) ).
tcf(c_20830,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(iPr_def_12)) = sK29(iPr_def_12) )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20828,c_14640]) ).
tcf(c_20854,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_19970,c_95]) ).
tcf(c_20856,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_20854,c_10043,c_10044]) ).
tcf(c_20857,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20856,c_9714,c_9579,c_9514]) ).
tcf(c_20868,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK11(sK21(iPr_def_20))),
inference(superposition,[status(thm)],[c_20646,c_58]) ).
tcf(c_20869,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20646,c_10059]) ).
tcf(c_20870,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_15)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_20646,c_10256]) ).
tcf(c_20898,plain,
( v1_xboole_0(iPr_def_13)
| v1_xboole_0(sK11(iPr_def_17))
| r2_hidden(sK11(sK21(sK11(iPr_def_17))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_20244,c_273]) ).
tcf(c_20899,plain,
( v1_xboole_0(sK11(iPr_def_17))
| r2_hidden(sK11(sK21(sK11(iPr_def_17))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20898,c_12975]) ).
tcf(c_20906,plain,
( v1_xboole_0(sK11(iPr_def_20))
| m1_subset_1(sK11(sK21(sK11(iPr_def_20))),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_20245]) ).
tcf(c_20918,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| m1_subset_1(sK11(sK11(sK21(iPr_def_17))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_9881,c_20542]) ).
tcf(c_20919,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| m1_subset_1(sK11(sK21(sK11(sK21(iPr_def_17)))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_20169,c_20542]) ).
tcf(c_20942,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_20577,c_273]) ).
tcf(c_20943,plain,
( r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20942,c_12975]) ).
tcf(c_20950,plain,
( v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK21(sK11(iPr_def_20))),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_20908]) ).
tcf(c_20952,plain,
( v1_xboole_0(sK11(iPr_def_20))
| m1_subset_1(sK11(sK21(sK11(iPr_def_20))),iPr_def_13)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_20908,c_10059]) ).
tcf(c_20958,plain,
( v1_xboole_0(sK11(iPr_def_20))
| m1_subset_1(sK11(sK21(sK11(iPr_def_20))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20952,c_10477]) ).
tcf(c_20991,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_17))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(superposition,[status(thm)],[c_20857,c_125]) ).
tcf(c_20992,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20857,c_85]) ).
tcf(c_20993,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20857,c_273]) ).
tcf(c_20994,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_20857,c_283]) ).
tcf(c_20995,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_20857,c_279]) ).
tcf(c_21004,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20993,c_129]) ).
tcf(c_21027,plain,
( v1_xboole_0(sK11(iPr_def_17))
| ~ r2_hidden(iPr_def_13,sK11(sK21(sK11(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_20899,c_58]) ).
tcf(c_21029,plain,
( v1_xboole_0(sK11(iPr_def_17))
| m1_subset_1(sK11(sK21(sK11(iPr_def_17))),iPr_def_15)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_20899,c_10256]) ).
tcf(c_21041,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_20943,c_58]) ).
tcf(c_21043,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_20943,c_10256]) ).
tcf(c_21058,plain,
( v1_xboole_0(iPr_def_13)
| v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK21(sK11(iPr_def_20))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_20958,c_273]) ).
tcf(c_21059,plain,
( v1_xboole_0(sK11(iPr_def_20))
| r2_hidden(sK11(sK21(sK11(iPr_def_20))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21058,c_12975]) ).
tcf(c_21119,plain,
( v1_xboole_0(sK11(iPr_def_20))
| ~ r2_hidden(iPr_def_13,sK11(sK21(sK11(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21059,c_58]) ).
tcf(c_21130,plain,
( v1_xboole_0(sK11(iPr_def_20))
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_14,sK11(sK21(sK11(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_11460,c_20951]) ).
tcf(c_21149,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_19971,c_95]) ).
tcf(c_21151,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_21149,c_10043,c_10044]) ).
tcf(c_21152,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21151,c_9714,c_9579,c_9514]) ).
tcf(c_21174,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_20) ),
inference(superposition,[status(thm)],[c_14355,c_19667]) ).
tcf(c_21179,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_20578]) ).
tcf(c_21180,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_20578,c_273]) ).
tcf(c_21181,plain,
( r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_15)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21180,c_12976]) ).
tcf(c_21195,plain,
( r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_11460,c_21181]) ).
tcf(c_21196,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_15,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_21181,c_58]) ).
tcf(c_21197,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_21181,c_10059]) ).
tcf(c_21203,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21197,c_10477]) ).
tcf(c_21231,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_21203,c_273]) ).
tcf(c_21232,plain,
( r2_hidden(sK11(sK21(iPr_def_20)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21231,c_12975]) ).
tcf(c_21241,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_17))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(superposition,[status(thm)],[c_21152,c_125]) ).
tcf(c_21242,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21152,c_85]) ).
tcf(c_21243,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21152,c_273]) ).
tcf(c_21244,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_21152,c_283]) ).
tcf(c_21245,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_21152,c_279]) ).
tcf(c_21254,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21243,c_129]) ).
tcf(c_21277,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_21232,c_58]) ).
tcf(c_21288,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ r2_hidden(iPr_def_14,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_11460,c_21196]) ).
tcf(c_21352,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_17) ),
inference(superposition,[status(thm)],[c_21195,c_10059]) ).
tcf(c_21353,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20)
| ~ m1_subset_1(iPr_def_14,iPr_def_20) ),
inference(superposition,[status(thm)],[c_21195,c_10256]) ).
tcf(c_21356,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21353,c_10489]) ).
tcf(c_21360,plain,
( m1_subset_1(sK11(sK21(iPr_def_20)),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21352,c_9722]) ).
tcf(c_21370,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(iPr_def_12)) = sK29(iPr_def_12) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_20830]) ).
tcf(c_21371,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(iPr_def_12)) = sK29(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21370,c_9579]) ).
tcf(c_21381,plain,
( ( k7_filter_2(k1_lattice2(iPr_def_12),sK29(iPr_def_12)) = sK29(iPr_def_12) )
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_21371,c_139]) ).
tcf(c_21382,plain,
k7_filter_2(k1_lattice2(iPr_def_12),sK29(iPr_def_12)) = sK29(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_21381,c_14640]) ).
tcf(c_21383,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_21382,c_95]) ).
tcf(c_21384,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21383,c_18882]) ).
tcf(c_21397,plain,
( v1_xboole_0(sK29(iPr_def_12))
| v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK29(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_21384,c_125]) ).
tcf(c_21398,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK29(iPr_def_12)) = sK29(iPr_def_12) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_21384,c_85]) ).
tcf(c_21399,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_21384,c_273]) ).
tcf(c_21400,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK29(iPr_def_12))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_21384,c_283]) ).
tcf(c_21401,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_21384,c_279]) ).
tcf(c_21412,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21399,c_129]) ).
tcf(c_21442,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20178,c_95]) ).
tcf(c_21444,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_21442,c_10043,c_10044]) ).
tcf(c_21445,plain,
( m1_subset_1(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21444,c_9714,c_9579,c_9514]) ).
tcf(c_21560,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(sK11(sK21(iPr_def_17)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_21445,c_125]) ).
tcf(c_21561,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_17))) = sK11(sK21(iPr_def_17)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21445,c_85]) ).
tcf(c_21562,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21445,c_273]) ).
tcf(c_21563,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17)
| ~ r2_hidden(X0,sK11(sK21(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_21445,c_283]) ).
tcf(c_21564,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17)
| ~ r2_hidden(X0,sK11(sK21(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_21445,c_279]) ).
tcf(c_21571,plain,
( r2_hidden(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21562,c_129]) ).
tcf(c_21605,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9881,c_21563]) ).
tcf(c_21616,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| m1_subset_1(sK11(sK11(sK21(iPr_def_17))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9881,c_21564]) ).
tcf(c_21617,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| m1_subset_1(sK11(sK21(sK11(sK21(iPr_def_17)))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20169,c_21564]) ).
tcf(c_21658,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_19806,c_13248]) ).
tcf(c_21659,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_19806,c_9811]) ).
tcf(c_21660,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = X0 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19806,c_286]) ).
tcf(c_21661,plain,
( v1_funct_1(sK11(k1_zfmisc_1(iPr_def_20)))
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_19806,c_59]) ).
tcf(c_21676,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_20482,c_95]) ).
tcf(c_21678,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_21676,c_10043,c_10044]) ).
tcf(c_21679,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21678,c_9714,c_9579,c_9514]) ).
tcf(c_21686,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21679,c_20474]) ).
tcf(c_21693,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_21686,c_125]) ).
tcf(c_21694,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_21686,c_85]) ).
tcf(c_21695,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 ) ),
inference(superposition,[status(thm)],[c_21686,c_273]) ).
tcf(c_21696,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21686,c_283]) ).
tcf(c_21697,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21686,c_279]) ).
tcf(c_21704,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21695,c_129]) ).
tcf(c_21728,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_21658,c_95]) ).
tcf(c_21730,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_21728,c_10043,c_10044]) ).
tcf(c_21731,plain,
( m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21730,c_9714,c_9579,c_9514]) ).
tcf(c_21778,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(k1_zfmisc_1(sK23))
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_17) ),
inference(superposition,[status(thm)],[c_14355,c_18101]) ).
tcf(c_21779,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_13)
| v1_xboole_0(X0)
| r2_hidden(sK11(X0),iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_18101,c_273]) ).
tcf(c_21780,plain,
( m1_subset_1(sK23,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21778,c_129]) ).
tcf(c_21783,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK11(X0),iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21779,c_12975]) ).
tcf(c_21803,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) ),
inference(superposition,[status(thm)],[c_21731,c_125]) ).
tcf(c_21804,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21731,c_85]) ).
tcf(c_21805,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21731,c_273]) ).
tcf(c_21806,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_21731,c_283]) ).
tcf(c_21807,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_21731,c_279]) ).
tcf(c_21816,plain,
( r2_hidden(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21805,c_129]) ).
tcf(c_21862,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| r2_hidden(sK23,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_17) ),
inference(superposition,[status(thm)],[c_14355,c_21783]) ).
tcf(c_21863,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK11(X0)) ),
inference(superposition,[status(thm)],[c_21783,c_58]) ).
tcf(c_21864,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_13)
| ~ m1_subset_1(iPr_def_13,iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_21783,c_10059]) ).
tcf(c_21865,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),iPr_def_15)
| ~ m1_subset_1(iPr_def_13,iPr_def_20)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_21783,c_10256]) ).
tcf(c_21871,plain,
( r2_hidden(sK23,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21862,c_129]) ).
tcf(c_21889,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19805,c_19873]) ).
tcf(c_21925,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)) )
| ~ sP0(iPr_def_12)
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_147,c_20638]) ).
tcf(c_21927,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21925,c_14640]) ).
tcf(c_21940,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)) )
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_94,c_21927]) ).
tcf(c_21941,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21940,c_9579]) ).
tcf(c_21951,plain,
( ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)) )
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_21941,c_139]) ).
tcf(c_21952,plain,
k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)),
inference(forward_subsumption_resolution,[status(thm)],[c_21951,c_14640]) ).
tcf(c_21953,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_21952,c_95]) ).
tcf(c_21954,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21953,c_20635]) ).
tcf(c_21967,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(sK11(sK21(iPr_def_20)))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK11(sK21(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21954,c_125]) ).
tcf(c_21968,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v3_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))
| ( k7_filter_2(k1_lattice2(k1_lattice2(iPr_def_12)),sK11(sK21(iPr_def_20))) = sK11(sK21(iPr_def_20)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(k1_lattice2(iPr_def_12)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_21954,c_85]) ).
tcf(c_21969,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| r2_hidden(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_21954,c_273]) ).
tcf(c_21970,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ r2_hidden(X0,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_21954,c_283]) ).
tcf(c_21971,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ r2_hidden(X0,sK11(sK21(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_21954,c_279]) ).
tcf(c_21982,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| r2_hidden(sK11(sK21(iPr_def_20)),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21969,c_129]) ).
tcf(c_22024,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_21659,c_95]) ).
tcf(c_22026,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_22024,c_10043,c_10044]) ).
tcf(c_22027,plain,
( m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22026,c_9714,c_9579,c_9514]) ).
tcf(c_22037,plain,
( v1_xboole_0(k1_zfmisc_1(sK23))
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(k1_zfmisc_1(sK23),iPr_def_17) ),
inference(superposition,[status(thm)],[c_14355,c_21863]) ).
tcf(c_22088,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) ),
inference(superposition,[status(thm)],[c_22027,c_125]) ).
tcf(c_22089,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22027,c_85]) ).
tcf(c_22090,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22027,c_273]) ).
tcf(c_22091,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22027,c_283]) ).
tcf(c_22092,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22027,c_279]) ).
tcf(c_22101,plain,
( r2_hidden(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22090,c_129]) ).
tcf(c_22129,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_13095,c_21244]) ).
tcf(c_22161,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17)))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_13095,c_21245]) ).
tcf(c_22175,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_17))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9881,c_20994]) ).
tcf(c_22189,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_17))))
| m1_subset_1(sK11(sK11(sK11(k1_zfmisc_1(iPr_def_17)))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9881,c_20995]) ).
tcf(c_22190,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_17))))
| m1_subset_1(sK11(sK21(sK11(sK11(k1_zfmisc_1(iPr_def_17))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20169,c_20995]) ).
tcf(c_22209,plain,
( v1_xboole_0(iPr_def_17)
| v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_17))) = sK11(sK21(iPr_def_17)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_20160,c_21561]) ).
tcf(c_22210,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_17))) = sK11(sK21(iPr_def_17)) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22209,c_9501]) ).
tcf(c_22237,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_21889,c_95]) ).
tcf(c_22238,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21889,c_11047]) ).
tcf(c_22239,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_21889,c_10462]) ).
tcf(c_22241,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_21889,c_10384]) ).
tcf(c_22243,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_21889,c_21659]) ).
tcf(c_22244,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21889,c_21731]) ).
tcf(c_22267,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_22237,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_22277,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = X0 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19805,c_13249]) ).
tcf(c_22278,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = X0 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19806,c_13249]) ).
tcf(c_22368,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_17) ),
inference(superposition,[status(thm)],[c_18138,c_273]) ).
tcf(c_22369,plain,
( r2_hidden(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22368,c_12975]) ).
tcf(c_22408,plain,
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_19805,c_20612]) ).
tcf(c_22409,plain,
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ) ),
inference(superposition,[status(thm)],[c_19806,c_20612]) ).
tcf(c_22441,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22406,c_21863]) ).
tcf(c_22442,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22406,c_21783]) ).
tcf(c_22443,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22406,c_18101]) ).
tcf(c_22444,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22406,c_19667]) ).
tcf(c_22445,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22406,c_19614]) ).
tcf(c_22446,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22406,c_18250]) ).
tcf(c_22447,plain,
( r2_hidden(sK23,iPr_def_14)
| v1_xboole_0(sK21(k1_zfmisc_1(sK23)))
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK23)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22406,c_17361]) ).
tcf(c_22503,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_13095,c_22241]) ).
tcf(c_22518,plain,
( ~ m1_subset_1(u1_struct_0(sK28),iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK11(sK29(sK28))) ),
inference(superposition,[status(thm)],[c_22369,c_58]) ).
tcf(c_22519,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_13)
| ~ m1_subset_1(iPr_def_13,iPr_def_17)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22369,c_10059]) ).
tcf(c_22520,plain,
( m1_subset_1(sK11(sK29(sK28)),iPr_def_15)
| ~ m1_subset_1(iPr_def_13,iPr_def_20)
| ~ m1_subset_1(u1_struct_0(sK28),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22369,c_10256]) ).
tcf(c_22545,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22410,c_21863]) ).
tcf(c_22546,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22410,c_21783]) ).
tcf(c_22547,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22410,c_18101]) ).
tcf(c_22548,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22410,c_19667]) ).
tcf(c_22549,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22410,c_19614]) ).
tcf(c_22550,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22410,c_18250]) ).
tcf(c_22551,plain,
( r2_hidden(sK23,iPr_def_14)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22410,c_17361]) ).
tcf(c_22650,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19805,c_22279]) ).
tcf(c_22672,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22652,c_11047]) ).
tcf(c_22673,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22652,c_10462]) ).
tcf(c_22675,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22652,c_10384]) ).
tcf(c_22677,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22652,c_21659]) ).
tcf(c_22679,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22652,c_21658]) ).
tcf(c_22695,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_22671,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_22714,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) ) ),
inference(superposition,[status(thm)],[c_13095,c_22675]) ).
tcf(c_22724,plain,
( v1_xboole_0(iPr_def_17)
| v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) ) ),
inference(superposition,[status(thm)],[c_22714,c_273]) ).
tcf(c_22725,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22714,c_10292]) ).
tcf(c_22726,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22724,c_9501]) ).
tcf(c_22737,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22652,c_22409]) ).
tcf(c_22738,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_21889,c_22409]) ).
tcf(c_22739,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19871,c_22409]) ).
tcf(c_22740,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_19872,c_22409]) ).
tcf(c_22741,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_22409,c_95]) ).
tcf(c_22752,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_22741,c_10043,c_10044]) ).
tcf(c_22753,plain,
( m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22752,c_9714,c_9579,c_9514]) ).
tcf(c_22886,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| m1_subset_1(sK11(sK11(sK21(iPr_def_20))),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_20718]) ).
tcf(c_22898,plain,
( v1_xboole_0(iPr_def_13)
| v1_xboole_0(sK11(sK21(iPr_def_17)))
| r2_hidden(sK11(sK11(sK21(iPr_def_17))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_20918,c_273]) ).
tcf(c_22899,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| r2_hidden(sK11(sK11(sK21(iPr_def_17))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22898,c_12975]) ).
tcf(c_22959,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| r2_hidden(sK11(sK11(sK21(iPr_def_20))),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_22888]) ).
tcf(c_22961,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| m1_subset_1(sK11(sK11(sK21(iPr_def_20))),iPr_def_13)
| ~ m1_subset_1(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_22888,c_10059]) ).
tcf(c_22967,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| m1_subset_1(sK11(sK11(sK21(iPr_def_20))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22961,c_10477]) ).
tcf(c_22998,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22652,c_22753]) ).
tcf(c_22999,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21889,c_22753]) ).
tcf(c_23002,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) ),
inference(superposition,[status(thm)],[c_22753,c_125]) ).
tcf(c_23003,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(k1_lattice2(iPr_def_12),k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22753,c_85]) ).
tcf(c_23004,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22753,c_273]) ).
tcf(c_23005,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22753,c_283]) ).
tcf(c_23006,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22753,c_279]) ).
tcf(c_23015,plain,
( r2_hidden(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23004,c_129]) ).
tcf(c_23054,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| ~ r2_hidden(iPr_def_13,sK11(sK11(sK21(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_22899,c_58]) ).
tcf(c_23056,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| m1_subset_1(sK11(sK11(sK21(iPr_def_17))),iPr_def_15)
| ~ m1_subset_1(iPr_def_13,iPr_def_20) ),
inference(superposition,[status(thm)],[c_22899,c_10256]) ).
tcf(c_23074,plain,
( v1_xboole_0(iPr_def_13)
| v1_xboole_0(sK11(sK21(iPr_def_20)))
| r2_hidden(sK11(sK11(sK21(iPr_def_20))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_22967,c_273]) ).
tcf(c_23075,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| r2_hidden(sK11(sK11(sK21(iPr_def_20))),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23074,c_12975]) ).
tcf(c_23082,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| ~ r2_hidden(iPr_def_13,sK11(sK11(sK21(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_23075,c_58]) ).
tcf(c_23103,plain,
( v1_xboole_0(sK11(sK21(iPr_def_20)))
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_14,sK11(sK11(sK21(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_11460,c_22960]) ).
tcf(c_23124,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22725,c_22279]) ).
tcf(c_23126,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = X0 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_22725,c_13249]) ).
tcf(c_23130,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = X0 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_22725,c_286]) ).
tcf(c_23131,plain,
( v1_funct_1(sK11(k1_zfmisc_1(iPr_def_20)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22725,c_59]) ).
tcf(c_23154,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_22650,c_95]) ).
tcf(c_23155,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22650,c_11047]) ).
tcf(c_23156,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22650,c_10462]) ).
tcf(c_23158,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22650,c_10384]) ).
tcf(c_23159,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22650,c_22753]) ).
tcf(c_23160,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22650,c_22409]) ).
tcf(c_23162,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22650,c_21659]) ).
tcf(c_23164,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22650,c_21658]) ).
tcf(c_23189,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(light_normalisation,[status(thm)],[c_23154,c_7345,c_10043,c_10044,c_10166,c_10167]) ).
tcf(c_23481,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_13095,c_23158]) ).
tcf(c_23503,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_10384,c_22091]) ).
tcf(c_23504,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22650,c_22091]) ).
tcf(c_23505,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22652,c_22091]) ).
tcf(c_23506,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_21889,c_22091]) ).
tcf(c_23507,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_19871,c_22091]) ).
tcf(c_23508,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_19872,c_22091]) ).
tcf(c_23561,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_9881,c_23503]) ).
tcf(c_23563,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22650,c_23503]) ).
tcf(c_23564,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22652,c_23503]) ).
tcf(c_23565,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21889,c_23503]) ).
tcf(c_23566,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_19871,c_23503]) ).
tcf(c_23567,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_19872,c_23503]) ).
tcf(c_23619,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22650,c_23561]) ).
tcf(c_23620,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22652,c_23561]) ).
tcf(c_23621,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_21889,c_23561]) ).
tcf(c_23622,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19871,c_23561]) ).
tcf(c_23625,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_20612]) ).
tcf(c_23626,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_13249]) ).
tcf(c_23627,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_19873]) ).
tcf(c_23628,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_13248]) ).
tcf(c_23629,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_9811]) ).
tcf(c_23630,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_286]) ).
tcf(c_23631,plain,
( v1_funct_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_59]) ).
tcf(c_23632,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_10343]) ).
tcf(c_23760,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_13095,c_23632]) ).
tcf(c_23769,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23760,c_9811]) ).
tcf(c_23779,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_22279]) ).
tcf(c_23780,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_20612]) ).
tcf(c_23781,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_13249]) ).
tcf(c_23782,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK11(k1_zfmisc_1(iPr_def_20))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_19873]) ).
tcf(c_23783,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_13248]) ).
tcf(c_23784,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK11(k1_zfmisc_1(iPr_def_20))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_9811]) ).
tcf(c_23785,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK11(k1_zfmisc_1(iPr_def_20))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_286]) ).
tcf(c_23786,plain,
( v1_funct_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_59]) ).
tcf(c_23839,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_10384,c_22092]) ).
tcf(c_23840,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22650,c_22092]) ).
tcf(c_23841,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22652,c_22092]) ).
tcf(c_23842,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_21889,c_22092]) ).
tcf(c_23843,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_19871,c_22092]) ).
tcf(c_23844,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_19872,c_22092]) ).
tcf(c_23958,plain,
( sP0(sK15)
| ~ sP0(sK2)
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_7345,c_5320]) ).
tcf(c_23959,plain,
( sP0(sK15)
| ( sK15 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23958,c_7361]) ).
tcf(c_23972,plain,
( ~ iPr_def_10
| ~ sP0(sK2)
| ( sK15 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_7345,c_7339]) ).
tcf(c_23973,plain,
( ~ iPr_def_10
| ( sK15 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23972,c_7361]) ).
tcf(c_23984,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_9881,c_23839]) ).
tcf(c_23985,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK21(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_20169,c_23839]) ).
tcf(c_23986,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22650,c_23839]) ).
tcf(c_23987,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22652,c_23839]) ).
tcf(c_23988,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21889,c_23839]) ).
tcf(c_23989,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_19871,c_23839]) ).
tcf(c_23990,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_19872,c_23839]) ).
tcf(c_24051,plain,
( v1_xboole_0(iPr_def_17)
| v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22503,c_273]) ).
tcf(c_24052,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22503,c_10292]) ).
tcf(c_24053,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24051,c_9501]) ).
tcf(c_24077,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_10384,c_21806]) ).
tcf(c_24078,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22650,c_21806]) ).
tcf(c_24079,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22652,c_21806]) ).
tcf(c_24080,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_21889,c_21806]) ).
tcf(c_24081,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_19871,c_21806]) ).
tcf(c_24142,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_9881,c_24077]) ).
tcf(c_24144,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22650,c_24077]) ).
tcf(c_24145,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22652,c_24077]) ).
tcf(c_24146,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21889,c_24077]) ).
tcf(c_24147,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_19871,c_24077]) ).
tcf(c_24185,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22650,c_24142]) ).
tcf(c_24186,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22652,c_24142]) ).
tcf(c_24187,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_21889,c_24142]) ).
tcf(c_24191,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_20612]) ).
tcf(c_24192,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_13249]) ).
tcf(c_24193,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_19873]) ).
tcf(c_24194,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_13248]) ).
tcf(c_24195,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_9811]) ).
tcf(c_24196,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_286]) ).
tcf(c_24197,plain,
( v1_funct_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_59]) ).
tcf(c_24198,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_10343]) ).
tcf(c_24304,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,iPr_def_13)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_23948,c_10059]) ).
tcf(c_24339,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_13)))
| r2_hidden(sK11(sK11(iPr_def_17)),iPr_def_13) ),
inference(superposition,[status(thm)],[c_10043,c_24332]) ).
tcf(c_24341,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_14)))
| r2_hidden(sK11(sK11(iPr_def_20)),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11479,c_24332]) ).
tcf(c_24343,plain,
! [X0: $i] :
( v1_xboole_0(sK11(k1_zfmisc_1(X0)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(X0))),iPr_def_13)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_24332,c_10059]) ).
tcf(c_24352,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(iPr_def_17))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(iPr_def_17)))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_24332,c_13096]) ).
tcf(c_24371,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_17)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_17))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_24332,c_21564]) ).
tcf(c_24372,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_17)))))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_24332,c_21563]) ).
tcf(c_24373,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_17)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_17))))),iPr_def_13) ),
inference(superposition,[status(thm)],[c_24332,c_20542]) ).
tcf(c_24374,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_20)))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24332,c_20641]) ).
tcf(c_24375,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK21(iPr_def_20)))))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24332,c_20640]) ).
tcf(c_24377,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_17)))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_24332,c_20995]) ).
tcf(c_24378,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_24332,c_20994]) ).
tcf(c_24379,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24332,c_24077]) ).
tcf(c_24380,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24332,c_23839]) ).
tcf(c_24381,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24332,c_23503]) ).
tcf(c_24658,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_13)))
| ~ r2_hidden(iPr_def_13,sK11(sK11(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_10043,c_24342]) ).
tcf(c_24660,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_14)))
| ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(iPr_def_14,sK11(sK11(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_11479,c_24342]) ).
tcf(c_24910,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_13095,c_24198]) ).
tcf(c_24919,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24910,c_13248]) ).
tcf(c_24929,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24919,c_22279]) ).
tcf(c_24930,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24919,c_20612]) ).
tcf(c_24931,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24919,c_13249]) ).
tcf(c_24933,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24919,c_13248]) ).
tcf(c_24934,plain,
( ( sK11(sK11(k1_zfmisc_1(iPr_def_20))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24919,c_9811]) ).
tcf(c_24935,plain,
! [X0: $i] :
( ( sK11(sK11(k1_zfmisc_1(iPr_def_20))) = X0 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24919,c_286]) ).
tcf(c_24936,plain,
( v1_funct_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24919,c_59]) ).
tcf(c_24973,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22650,c_24381]) ).
tcf(c_24974,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22652,c_24381]) ).
tcf(c_24975,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_21889,c_24381]) ).
tcf(c_24976,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19871,c_24381]) ).
tcf(c_24977,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19872,c_24381]) ).
tcf(c_24979,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24381,c_20612]) ).
tcf(c_24980,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24381,c_13249]) ).
tcf(c_24982,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24381,c_13248]) ).
tcf(c_24985,plain,
( v1_funct_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24381,c_59]) ).
tcf(c_25056,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22650,c_24379]) ).
tcf(c_25057,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22652,c_24379]) ).
tcf(c_25058,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_21889,c_24379]) ).
tcf(c_25059,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19871,c_24379]) ).
tcf(c_25062,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24379,c_20612]) ).
tcf(c_25063,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24379,c_13249]) ).
tcf(c_25065,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24379,c_13248]) ).
tcf(c_25068,plain,
( v1_funct_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24379,c_59]) ).
tcf(c_25204,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_10384,c_21807]) ).
tcf(c_25205,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22650,c_21807]) ).
tcf(c_25206,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_22652,c_21807]) ).
tcf(c_25207,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_21889,c_21807]) ).
tcf(c_25208,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) ),
inference(superposition,[status(thm)],[c_19871,c_21807]) ).
tcf(c_25271,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_9881,c_25204]) ).
tcf(c_25272,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24332,c_25204]) ).
tcf(c_25273,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK21(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_20169,c_25204]) ).
tcf(c_25274,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22650,c_25204]) ).
tcf(c_25275,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_22652,c_25204]) ).
tcf(c_25276,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_21889,c_25204]) ).
tcf(c_25277,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20)
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_19871,c_25204]) ).
tcf(c_25478,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22408,c_21863]) ).
tcf(c_25479,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22408,c_21783]) ).
tcf(c_25480,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22408,c_18101]) ).
tcf(c_25481,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22408,c_19667]) ).
tcf(c_25482,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22408,c_19614]) ).
tcf(c_25483,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22408,c_18250]) ).
tcf(c_25484,plain,
( r2_hidden(sK23,iPr_def_14)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( iPr_def_13 = iPr_def_14 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22408,c_17361]) ).
tcf(c_25485,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(iPr_def_15,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22408,c_17362]) ).
tcf(c_25486,plain,
( r2_hidden(sK23,iPr_def_15)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22408,c_17333]) ).
tcf(c_25487,plain,
( m1_subset_1(sK23,iPr_def_15)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22408,c_11323]) ).
tcf(c_25488,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),sK23) ),
inference(superposition,[status(thm)],[c_22408,c_11000]) ).
tcf(c_25489,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| r2_hidden(sK23,sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22408,c_9881]) ).
tcf(c_25490,plain,
( m1_subset_1(sK23,sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22408,c_121]) ).
tcf(c_25491,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))),sK23) ),
inference(superposition,[status(thm)],[c_22408,c_20234]) ).
tcf(c_25492,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| r2_hidden(sK23,k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22408,c_20169]) ).
tcf(c_25493,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| m1_subset_1(sK23,k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_22408,c_20160]) ).
tcf(c_25494,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK23)))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_22408,c_24369]) ).
tcf(c_25501,plain,
( v1_xboole_0(sK23)
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17))) ),
inference(light_normalisation,[status(thm)],[c_25494,c_14355]) ).
tcf(c_25549,plain,
( v1_funct_1(sK11(k1_zfmisc_1(sK23)))
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_22408,c_24782]) ).
tcf(c_25556,plain,
( v1_funct_1(sK23)
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17))) ),
inference(light_normalisation,[status(thm)],[c_25549,c_14355]) ).
tcf(c_25561,plain,
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_20052,c_58]) ).
tcf(c_25562,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_13)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_20052,c_10059]) ).
tcf(c_25563,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_15)
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(superposition,[status(thm)],[c_20052,c_10256]) ).
tcf(c_25581,plain,
( v3_struct_0(iPr_def_12)
| ~ l3_lattices(iPr_def_12)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_13),sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_10044,c_20112]) ).
tcf(c_25582,plain,
( v3_struct_0(iPr_def_12)
| ~ l3_lattices(iPr_def_12)
| ~ r2_hidden(iPr_def_17,sK29(iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_25581,c_10043]) ).
tcf(c_25630,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK11(sK11(k1_zfmisc_1(iPr_def_20)))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22650,c_23984]) ).
tcf(c_25631,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK11(sK11(k1_zfmisc_1(iPr_def_20)))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22652,c_23984]) ).
tcf(c_25632,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK11(sK11(k1_zfmisc_1(iPr_def_20)))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_21889,c_23984]) ).
tcf(c_25633,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK11(sK11(k1_zfmisc_1(iPr_def_20)))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19871,c_23984]) ).
tcf(c_25634,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK11(sK11(k1_zfmisc_1(iPr_def_20)))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19872,c_23984]) ).
tcf(c_25635,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| r2_hidden(sK11(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23984,c_273]) ).
tcf(c_25692,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_24332,c_23005]) ).
tcf(c_25693,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20169,c_23005]) ).
tcf(c_25694,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22650,c_23005]) ).
tcf(c_25695,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22652,c_23005]) ).
tcf(c_25696,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21889,c_23005]) ).
tcf(c_25697,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_19871,c_23005]) ).
tcf(c_25698,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_19872,c_23005]) ).
tcf(c_25756,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9881,c_23006]) ).
tcf(c_25757,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_24332,c_23006]) ).
tcf(c_25758,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK21(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_20169,c_23006]) ).
tcf(c_25759,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22650,c_23006]) ).
tcf(c_25760,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22652,c_23006]) ).
tcf(c_25761,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_21889,c_23006]) ).
tcf(c_25762,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_19871,c_23006]) ).
tcf(c_25763,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = sK23 )
| ~ r2_hidden(X0,sK11(sK11(k1_zfmisc_1(iPr_def_20))))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_19872,c_23006]) ).
tcf(c_25846,plain,
( v1_xboole_0(iPr_def_17)
| v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_23481,c_273]) ).
tcf(c_25847,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_23481,c_10292]) ).
tcf(c_25848,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20)))
| r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25846,c_9501]) ).
tcf(c_25878,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK21(sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22650,c_23985]) ).
tcf(c_25879,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK21(sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22652,c_23985]) ).
tcf(c_25880,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK21(sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_21889,c_23985]) ).
tcf(c_25881,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK21(sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19871,c_23985]) ).
tcf(c_25882,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| m1_subset_1(sK11(sK21(sK11(sK11(k1_zfmisc_1(iPr_def_20))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_19872,c_23985]) ).
tcf(c_25883,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))
| r2_hidden(sK11(sK21(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23985,c_273]) ).
tcf(c_26013,plain,
( v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_2914]) ).
tcf(c_26017,plain,
v1_funct_2(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_26013,c_9579]) ).
tcf(c_26041,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16352,c_26017]) ).
tcf(c_26042,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14920,c_26017]) ).
tcf(c_26043,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14695,c_26017]) ).
tcf(c_26044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_12) = X2 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10806,c_26017]) ).
tcf(c_26045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = X1 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10639,c_26017]) ).
tcf(c_26046,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_10582,c_26017]) ).
tcf(c_26086,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16159,c_26018]) ).
tcf(c_26087,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14797,c_26018]) ).
tcf(c_26088,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14402,c_26018]) ).
tcf(c_26149,plain,
( v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_2982]) ).
tcf(c_26153,plain,
v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_26149,c_9579]) ).
tcf(c_26189,plain,
( m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_3043]) ).
tcf(c_26190,plain,
m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_26189,c_9579]) ).
tcf(c_26231,plain,
( m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_3061]) ).
tcf(c_26232,plain,
m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_26231,c_9579]) ).
tcf(c_26234,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_13)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v3_struct_0(g3_lattices(iPr_def_13,u1_lattices(iPr_def_12),X0))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_137]) ).
tcf(c_26235,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_13,u1_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_88]) ).
tcf(c_26236,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_13,u1_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_87]) ).
tcf(c_26249,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v3_struct_0(g3_lattices(iPr_def_13,u1_lattices(iPr_def_12),X0))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26234,c_12975]) ).
tcf(c_26259,plain,
( v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_26018]) ).
tcf(c_26289,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_13)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v3_struct_0(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26153,c_137]) ).
tcf(c_26290,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26153,c_88]) ).
tcf(c_26291,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26153,c_87]) ).
tcf(c_26304,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v3_struct_0(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26289,c_12975]) ).
tcf(c_26314,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_26154]) ).
tcf(c_26344,plain,
( m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_26191]) ).
tcf(c_26349,plain,
( m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_11460,c_26233]) ).
tcf(c_26358,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v3_struct_0(g3_lattices(iPr_def_14,u1_lattices(sK2),X0))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_26259,c_137]) ).
tcf(c_26359,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_14,u1_lattices(sK2),X0))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_26259,c_88]) ).
tcf(c_26360,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_14,u1_lattices(sK2),X0))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_26259,c_87]) ).
tcf(c_26375,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v3_struct_0(g3_lattices(iPr_def_14,u1_lattices(sK2),X0))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26358,c_9721]) ).
tcf(c_26407,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_14)
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v3_struct_0(g3_lattices(iPr_def_14,u2_lattices(sK2),X0))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_26314,c_137]) ).
tcf(c_26408,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_14,u2_lattices(sK2),X0))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_26314,c_88]) ).
tcf(c_26409,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_14,u2_lattices(sK2),X0))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_26314,c_87]) ).
tcf(c_26424,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ v3_struct_0(g3_lattices(iPr_def_14,u2_lattices(sK2),X0))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26407,c_9721]) ).
tcf(c_26469,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_14)
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_11064,c_10763,c_11064]) ).
tcf(c_26470,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_14) ),
inference(renaming,[status(thm)],[c_26469]) ).
tcf(c_26476,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_14)
| ~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_26470,c_58]) ).
tcf(c_26477,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,iPr_def_14)
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_26470,c_10059]) ).
tcf(c_26478,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_15)
| ~ r2_hidden(X0,iPr_def_14)
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_26470,c_10256]) ).
tcf(c_26482,plain,
! [X0: $i,X1: $i] :
( ~ m1_relset_1(u1_struct_0(k1_lattice2(iPr_def_12)),X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_26470,c_24303]) ).
tcf(c_26525,plain,
~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_14),
inference(superposition,[status(thm)],[c_26470,c_26476]) ).
tcf(c_26529,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_13)
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_11077,c_10893,c_11077]) ).
tcf(c_26530,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_13) ),
inference(renaming,[status(thm)],[c_26529]) ).
tcf(c_26536,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_13)
| ~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_26530,c_58]) ).
tcf(c_26537,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,iPr_def_13)
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_26530,c_10059]) ).
tcf(c_26538,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_15)
| ~ r2_hidden(X0,iPr_def_13)
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_26530,c_10256]) ).
tcf(c_26542,plain,
! [X0: $i,X1: $i] :
( ~ m1_relset_1(u1_struct_0(k1_lattice2(iPr_def_12)),X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26530,c_24303]) ).
tcf(c_26605,plain,
~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_13),
inference(superposition,[status(thm)],[c_26530,c_26536]) ).
tcf(c_26627,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),X0))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11460,c_26612]) ).
tcf(c_26645,plain,
( l3_lattices(g3_lattices(iPr_def_14,u1_lattices(sK2),u1_lattices(sK2)))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_11460,c_26630]) ).
tcf(c_26676,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_15,u1_lattices(sK2),X0))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11460,c_26661]) ).
tcf(c_26697,plain,
( v3_lattices(g3_lattices(iPr_def_14,u1_lattices(sK2),u1_lattices(sK2)))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_11460,c_26679]) ).
tcf(c_26723,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),X0))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11460,c_26708]) ).
tcf(c_26747,plain,
( l3_lattices(g3_lattices(iPr_def_14,u2_lattices(sK2),u2_lattices(sK2)))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_11460,c_26726]) ).
tcf(c_26851,plain,
( l3_lattices(g3_lattices(iPr_def_14,u2_lattices(sK2),u1_lattices(sK2)))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_11460,c_26729]) ).
tcf(c_26875,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_15,u2_lattices(sK2),X0))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_15,iPr_def_15),iPr_def_15)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14) ),
inference(superposition,[status(thm)],[c_11460,c_26860]) ).
tcf(c_26898,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22737,c_21863]) ).
tcf(c_26899,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22737,c_21783]) ).
tcf(c_26900,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_22737,c_18101]) ).
tcf(c_26901,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22737,c_19667]) ).
tcf(c_26902,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22737,c_19614]) ).
tcf(c_26903,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22737,c_18250]) ).
tcf(c_26904,plain,
( r2_hidden(sK23,iPr_def_14)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( iPr_def_13 = iPr_def_14 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22737,c_17361]) ).
tcf(c_26905,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(iPr_def_15,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22737,c_17362]) ).
tcf(c_26906,plain,
( r2_hidden(sK23,iPr_def_15)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22737,c_17333]) ).
tcf(c_26907,plain,
( m1_subset_1(sK23,iPr_def_15)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_22737,c_11323]) ).
tcf(c_26908,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))),sK23) ),
inference(superposition,[status(thm)],[c_22737,c_11000]) ).
tcf(c_26909,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| r2_hidden(sK23,sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22737,c_9881]) ).
tcf(c_26910,plain,
( m1_subset_1(sK23,sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22737,c_121]) ).
tcf(c_26911,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ r2_hidden(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))),sK23) ),
inference(superposition,[status(thm)],[c_22737,c_20234]) ).
tcf(c_26912,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| r2_hidden(sK23,k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22737,c_20169]) ).
tcf(c_26913,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| m1_subset_1(sK23,k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) ) ),
inference(superposition,[status(thm)],[c_22737,c_20160]) ).
tcf(c_26914,plain,
( v1_funct_1(sK11(k1_zfmisc_1(sK23)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_22737,c_24782]) ).
tcf(c_26915,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK23)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20))) ),
inference(superposition,[status(thm)],[c_22737,c_24369]) ).
tcf(c_26923,plain,
( v1_xboole_0(sK23)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_26915,c_14355]) ).
tcf(c_26924,plain,
( v1_funct_1(sK23)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_20))) ),
inference(light_normalisation,[status(thm)],[c_26914,c_14355]) ).
tcf(c_26965,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_15)
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_11112,c_10942,c_11112]) ).
tcf(c_26966,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,iPr_def_15) ),
inference(renaming,[status(thm)],[c_26965]) ).
tcf(c_26972,plain,
! [X0: $i] :
( ~ r2_hidden(X0,iPr_def_15)
| ~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_26966,c_58]) ).
tcf(c_26973,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,iPr_def_15)
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_26966,c_10059]) ).
tcf(c_26974,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_15)
| ~ r2_hidden(X0,iPr_def_15)
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_20) ),
inference(superposition,[status(thm)],[c_26966,c_10256]) ).
tcf(c_26978,plain,
! [X0: $i,X1: $i] :
( ~ m1_relset_1(u1_struct_0(k1_lattice2(iPr_def_12)),X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),iPr_def_15) ),
inference(superposition,[status(thm)],[c_26966,c_24303]) ).
tcf(c_27006,plain,
~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_15),
inference(superposition,[status(thm)],[c_26966,c_26972]) ).
tcf(c_27015,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),k7_filter_2(sK2,sK21(iPr_def_14))) ),
inference(superposition,[status(thm)],[c_13513,c_58]) ).
tcf(c_27016,plain,
( m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_13)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_13513,c_10059]) ).
tcf(c_27017,plain,
( m1_subset_1(k7_filter_2(sK2,sK21(iPr_def_14)),iPr_def_15)
| ( iPr_def_13 = iPr_def_14 )
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_13513,c_10256]) ).
tcf(c_27042,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = X0 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19805,c_20613]) ).
tcf(c_27043,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(k1_zfmisc_1(iPr_def_20)) )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = X0 )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) = sK11(sK11(k1_zfmisc_1(iPr_def_20))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_22725,c_20613]) ).
tcf(c_27044,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20))))) = X0 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20)))) )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_19806,c_20613]) ).
tcf(c_27046,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_24919,c_20613]) ).
tcf(c_27047,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(sK11(k1_zfmisc_1(iPr_def_20)))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_23769,c_20613]) ).
tcf(c_27049,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24142,c_20613]) ).
tcf(c_27050,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_23561,c_20613]) ).
tcf(c_27053,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_20)))) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24379,c_20613]) ).
tcf(c_27054,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_20)) = sK23 )
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_20))))))))) = X0 )
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_20))),iPr_def_20) ),
inference(superposition,[status(thm)],[c_24381,c_20613]) ).
tcf(c_27252,plain,
( v3_lattices(g3_lattices(iPr_def_14,u2_lattices(sK2),u2_lattices(sK2)))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_11460,c_26878]) ).
tcf(c_27266,plain,
( v3_lattices(g3_lattices(iPr_def_14,u2_lattices(sK2),u1_lattices(sK2)))
| ( iPr_def_13 = iPr_def_14 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_11460,c_26881]) ).
tcf(c_27276,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_26088,c_26088,c_26154,c_26191,c_26233]) ).
tcf(c_27284,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ l3_lattices(sK2)
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_2923,c_27276]) ).
tcf(c_27285,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27284,c_7367]) ).
tcf(c_27294,plain,
( ( iPr_def_13 = iPr_def_15 )
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_2991,c_27285]) ).
tcf(c_27295,plain,
iPr_def_13 = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_27294,c_7367]) ).
tcf(c_27296,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(demodulation,[status(thm)],[c_26881,c_27295]) ).
tcf(c_27297,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(demodulation,[status(thm)],[c_26878,c_27295]) ).
tcf(c_27301,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(demodulation,[status(thm)],[c_26860,c_27295]) ).
tcf(c_27302,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(demodulation,[status(thm)],[c_26729,c_27295]) ).
tcf(c_27303,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(demodulation,[status(thm)],[c_26726,c_27295]) ).
tcf(c_27304,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(demodulation,[status(thm)],[c_26708,c_27295]) ).
tcf(c_27305,plain,
( v3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(demodulation,[status(thm)],[c_26679,c_27295]) ).
tcf(c_27306,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(demodulation,[status(thm)],[c_26661,c_27295]) ).
tcf(c_27307,plain,
( l3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(demodulation,[status(thm)],[c_26630,c_27295]) ).
tcf(c_27308,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(demodulation,[status(thm)],[c_26612,c_27295]) ).
tcf(c_27309,plain,
m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13),
inference(demodulation,[status(thm)],[c_26233,c_27295]) ).
tcf(c_27310,plain,
m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13),
inference(demodulation,[status(thm)],[c_26191,c_27295]) ).
tcf(c_27311,plain,
v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13),
inference(demodulation,[status(thm)],[c_26154,c_27295]) ).
tcf(c_27312,plain,
v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13),
inference(demodulation,[status(thm)],[c_26018,c_27295]) ).
tcf(c_27314,plain,
( m1_subset_1(sK11(iPr_def_20),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11797,c_27295]) ).
tcf(c_27315,plain,
( m1_subset_1(sK11(iPr_def_17),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11785,c_27295]) ).
tcf(c_27316,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK21(X0),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11609,c_27295]) ).
tcf(c_27329,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,sK11(sK21(iPr_def_20))) ),
inference(demodulation,[status(thm)],[c_20543,c_27295]) ).
tcf(c_27341,plain,
( ~ m1_subset_1(iPr_def_20,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_13)) ),
inference(demodulation,[status(thm)],[c_19057,c_27295]) ).
tcf(c_27345,plain,
( r2_hidden(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_18759,c_27295]) ).
tcf(c_27351,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_18115,c_27295]) ).
tcf(c_27352,plain,
( m1_subset_1(iPr_def_13,iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_18110,c_27295]) ).
tcf(c_27357,plain,
( m1_subset_1(iPr_def_13,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11339,c_27295]) ).
tcf(c_27358,plain,
( m1_subset_1(sK29(sK28),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(sK28)),iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11338,c_27295]) ).
tcf(c_27359,plain,
( m1_subset_1(iPr_def_14,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11337,c_27295]) ).
tcf(c_27379,plain,
( ~ m1_subset_1(iPr_def_20,iPr_def_20)
| ~ r2_hidden(iPr_def_13,sK21(iPr_def_13)) ),
inference(demodulation,[status(thm)],[c_13185,c_27295]) ).
tcf(c_27382,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,sK11(iPr_def_20)) ),
inference(demodulation,[status(thm)],[c_13097,c_27295]) ).
tcf(c_27383,plain,
( r2_hidden(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_13173,c_27295]) ).
tcf(c_27384,plain,
( m1_subset_1(sK21(iPr_def_13),iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_13004,c_27295]) ).
tcf(c_27392,plain,
k7_filter_2(sK2,sK21(iPr_def_13)) = sK21(iPr_def_13),
inference(demodulation,[status(thm)],[c_12984,c_27295]) ).
tcf(c_27393,plain,
~ r2_hidden(iPr_def_20,sK21(iPr_def_13)),
inference(demodulation,[status(thm)],[c_12982,c_27295]) ).
tcf(c_27394,plain,
m1_subset_1(sK21(iPr_def_13),iPr_def_20),
inference(demodulation,[status(thm)],[c_12986,c_27295]) ).
tcf(c_27395,plain,
r2_hidden(sK21(iPr_def_13),iPr_def_20),
inference(demodulation,[status(thm)],[c_12983,c_27295]) ).
tcf(c_27397,plain,
! [X0: $i] :
( m1_subset_1(sK23,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11328,c_27295]) ).
tcf(c_27398,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(X0),iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11324,c_27295]) ).
tcf(c_27399,plain,
( m1_subset_1(iPr_def_14,iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11334,c_27295]) ).
tcf(c_27401,plain,
( m1_subset_1(iPr_def_13,iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11329,c_27295]) ).
tcf(c_27402,plain,
( m1_subset_1(sK23,iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11327,c_27295]) ).
tcf(c_27404,plain,
( m1_subset_1(sK23,iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11326,c_27295]) ).
tcf(c_27405,plain,
( m1_subset_1(iPr_def_14,iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11325,c_27295]) ).
tcf(c_27409,plain,
iPr_def_13 = iPr_def_14,
inference(demodulation,[status(thm)],[c_11460,c_27295]) ).
tcf(c_27410,plain,
( m1_subset_1(iPr_def_13,iPr_def_13)
| ~ m1_subset_1(iPr_def_20,iPr_def_20) ),
inference(demodulation,[status(thm)],[c_11331,c_27295]) ).
tcf(c_27411,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ m1_subset_1(X1,iPr_def_20)
| ~ r2_hidden(X0,X1) ),
inference(demodulation,[status(thm)],[c_10256,c_27295]) ).
tcf(c_27412,plain,
( ( iPr_def_13 != iPr_def_14 )
| ( sK2 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_10481,c_27295]) ).
tcf(c_27419,plain,
k15_filter_2(sK2,iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_10475,c_27295]) ).
tcf(c_27420,plain,
k7_filter_2(sK2,iPr_def_13) = iPr_def_13,
inference(demodulation,[status(thm)],[c_10473,c_27295]) ).
tcf(c_27422,plain,
g3_lattices(iPr_def_13,u1_lattices(sK2),u2_lattices(sK2)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_10265,c_27295]) ).
tcf(c_27423,plain,
u1_struct_0(sK2) = iPr_def_13,
inference(demodulation,[status(thm)],[c_10167,c_27295]) ).
tcf(c_27424,plain,
k1_zfmisc_1(iPr_def_13) = iPr_def_20,
inference(demodulation,[status(thm)],[c_10166,c_27295]) ).
tcf(c_27425,plain,
k1_filter_0(sK2) = iPr_def_13,
inference(demodulation,[status(thm)],[c_10162,c_27295]) ).
tcf(c_27426,plain,
k1_filter_2(sK2) = iPr_def_13,
inference(demodulation,[status(thm)],[c_10200,c_27295]) ).
tcf(c_27427,plain,
~ r2_hidden(iPr_def_20,iPr_def_13),
inference(demodulation,[status(thm)],[c_10163,c_27295]) ).
tcf(c_27428,plain,
iPr_def_13 = iPr_def_19,
inference(demodulation,[status(thm)],[c_10146,c_27295]) ).
tcf(c_27429,plain,
m1_subset_1(iPr_def_13,iPr_def_20),
inference(demodulation,[status(thm)],[c_10165,c_27295]) ).
tcf(c_27430,plain,
r2_hidden(iPr_def_13,iPr_def_20),
inference(demodulation,[status(thm)],[c_10164,c_27295]) ).
tcf(c_27431,plain,
k17_filter_2(sK2) = iPr_def_13,
inference(demodulation,[status(thm)],[c_7348,c_27295]) ).
tcf(c_27432,plain,
iPr_def_17 = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_27424,c_10043]) ).
tcf(c_27434,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))))
| m1_subset_1(sK11(sK21(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_23985,c_27432]) ).
tcf(c_27436,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_23006,c_27432]) ).
tcf(c_27437,plain,
! [X0: $i] :
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_23005,c_27432]) ).
tcf(c_27438,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))))
| m1_subset_1(sK11(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))),u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_23984,c_27432]) ).
tcf(c_27439,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 ) ),
inference(demodulation,[status(thm)],[c_20052,c_27432]) ).
tcf(c_27440,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_25204,c_27432]) ).
tcf(c_27441,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_21807,c_27432]) ).
tcf(c_27442,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_24379,c_27432]) ).
tcf(c_27443,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_24381,c_27432]) ).
tcf(c_27444,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_17))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(demodulation,[status(thm)],[c_24919,c_27432]) ).
tcf(c_27445,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_24142,c_27432]) ).
tcf(c_27446,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_24077,c_27432]) ).
tcf(c_27447,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_21806,c_27432]) ).
tcf(c_27449,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_23839,c_27432]) ).
tcf(c_27450,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_22092,c_27432]) ).
tcf(c_27451,plain,
( v1_xboole_0(sK11(sK11(k1_zfmisc_1(iPr_def_17))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(demodulation,[status(thm)],[c_23769,c_27432]) ).
tcf(c_27452,plain,
( v1_xboole_0(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_23561,c_27432]) ).
tcf(c_27453,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_23503,c_27432]) ).
tcf(c_27454,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17)
| ~ r2_hidden(X0,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) ),
inference(demodulation,[status(thm)],[c_22091,c_27432]) ).
tcf(c_27457,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(demodulation,[status(thm)],[c_22650,c_27432]) ).
tcf(c_27458,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17)))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(demodulation,[status(thm)],[c_22725,c_27432]) ).
tcf(c_27462,plain,
( m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_22753,c_27432]) ).
tcf(c_27463,plain,
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = sK23 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ) ),
inference(demodulation,[status(thm)],[c_22409,c_27432]) ).
tcf(c_27464,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17)))
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) ) ),
inference(demodulation,[status(thm)],[c_22714,c_27432]) ).
tcf(c_27466,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(demodulation,[status(thm)],[c_22652,c_27432]) ).
tcf(c_27467,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = X0 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(X0) ),
inference(demodulation,[status(thm)],[c_22279,c_27432]) ).
tcf(c_27468,plain,
( ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(demodulation,[status(thm)],[c_22410,c_27432]) ).
tcf(c_27471,plain,
( m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_22027,c_27432]) ).
tcf(c_27472,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ) ),
inference(demodulation,[status(thm)],[c_21659,c_27432]) ).
tcf(c_27473,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| m1_subset_1(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(iPr_def_12)))))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(demodulation,[status(thm)],[c_21954,c_27432]) ).
tcf(c_27474,plain,
k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_17))) = sK11(sK21(iPr_def_17)),
inference(demodulation,[status(thm)],[c_21952,c_27432]) ).
tcf(c_27475,plain,
! [X0: $i] :
( ( sK11(k1_zfmisc_1(iPr_def_17)) = X0 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(X0) ),
inference(demodulation,[status(thm)],[c_19873,c_27432]) ).
tcf(c_27476,plain,
( m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(demodulation,[status(thm)],[c_21731,c_27432]) ).
tcf(c_27477,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ) ),
inference(demodulation,[status(thm)],[c_21658,c_27432]) ).
tcf(c_27478,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 ) ),
inference(demodulation,[status(thm)],[c_21686,c_27432]) ).
tcf(c_27480,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17)))
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17))))) = k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ) ),
inference(demodulation,[status(thm)],[c_19806,c_27432]) ).
tcf(c_27485,plain,
( v1_xboole_0(sK11(sK21(iPr_def_17)))
| ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(demodulation,[status(thm)],[c_20745,c_27432]) ).
tcf(c_27488,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK11(sK21(iPr_def_17))) ),
inference(demodulation,[status(thm)],[c_21041,c_27432]) ).
tcf(c_27492,plain,
( r2_hidden(sK11(sK21(iPr_def_17)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_20943,c_27432]) ).
tcf(c_27493,plain,
( m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_20577,c_27432]) ).
tcf(c_27495,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK11(sK21(iPr_def_17))),
inference(demodulation,[status(thm)],[c_20868,c_27432]) ).
tcf(c_27496,plain,
r2_hidden(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(demodulation,[status(thm)],[c_20646,c_27432]) ).
tcf(c_27500,plain,
~ r2_hidden(iPr_def_17,sK11(sK21(iPr_def_17))),
inference(demodulation,[status(thm)],[c_20576,c_27432]) ).
tcf(c_27501,plain,
r2_hidden(sK11(sK21(iPr_def_17)),iPr_def_17),
inference(demodulation,[status(thm)],[c_20575,c_27432]) ).
tcf(c_27502,plain,
m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_17),
inference(demodulation,[status(thm)],[c_20422,c_27432]) ).
tcf(c_27504,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 ) ),
inference(demodulation,[status(thm)],[c_20474,c_27432]) ).
tcf(c_27505,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 ) ),
inference(demodulation,[status(thm)],[c_20437,c_27432]) ).
tcf(c_27507,plain,
k7_filter_2(sK2,sK11(sK21(iPr_def_17))) = sK11(sK21(iPr_def_17)),
inference(demodulation,[status(thm)],[c_20177,c_27432]) ).
tcf(c_27508,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(demodulation,[status(thm)],[c_19871,c_27432]) ).
tcf(c_27509,plain,
( m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 ) ),
inference(demodulation,[status(thm)],[c_20043,c_27432]) ).
tcf(c_27510,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(demodulation,[status(thm)],[c_19872,c_27432]) ).
tcf(c_27511,plain,
( v1_funct_1(sK11(k1_zfmisc_1(iPr_def_17)))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(demodulation,[status(thm)],[c_19874,c_27432]) ).
tcf(c_27514,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17)))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(demodulation,[status(thm)],[c_19807,c_27432]) ).
tcf(c_27532,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK11(iPr_def_17)) ),
inference(demodulation,[status(thm)],[c_19116,c_27432]) ).
tcf(c_27540,plain,
( r2_hidden(sK11(iPr_def_17),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_18854,c_27432]) ).
tcf(c_27544,plain,
( m1_subset_1(sK11(iPr_def_17),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_18208,c_27432]) ).
tcf(c_27553,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,iPr_def_17)
| ~ r2_hidden(iPr_def_17,k7_filter_2(sK2,X0)) ),
inference(demodulation,[status(thm)],[c_11047,c_27432]) ).
tcf(c_27569,plain,
! [X0: $i] :
( r2_hidden(k7_filter_2(sK2,X0),iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_10462,c_27432]) ).
tcf(c_27573,plain,
~ r2_hidden(iPr_def_17,sK11(iPr_def_17)),
inference(demodulation,[status(thm)],[c_10847,c_27432]) ).
tcf(c_27574,plain,
r2_hidden(sK11(iPr_def_17),iPr_def_17),
inference(demodulation,[status(thm)],[c_10726,c_27432]) ).
tcf(c_27575,plain,
m1_subset_1(sK11(iPr_def_17),iPr_def_17),
inference(demodulation,[status(thm)],[c_10533,c_27432]) ).
tcf(c_27576,plain,
! [X0: $i] :
( ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,X0)) = k7_filter_2(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_10699,c_27432]) ).
tcf(c_27579,plain,
k7_filter_2(sK2,sK11(iPr_def_17)) = sK11(iPr_def_17),
inference(demodulation,[status(thm)],[c_10470,c_27432]) ).
tcf(c_27580,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(sK2,X0)) ),
inference(demodulation,[status(thm)],[c_10343,c_27432]) ).
tcf(c_27581,plain,
! [X0: $i] :
( ( k7_filter_2(sK2,X0) = X0 )
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_10296,c_27432]) ).
tcf(c_27582,plain,
! [X0: $i] :
( m1_subset_1(k7_filter_2(sK2,X0),iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(demodulation,[status(thm)],[c_10384,c_27432]) ).
tcf(c_27646,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK21(iPr_def_17))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_21564,c_27502]) ).
tcf(c_27647,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(sK21(iPr_def_17))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_21563,c_27502]) ).
tcf(c_27648,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| v1_xboole_0(sK11(sK21(iPr_def_17)))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK11(sK21(iPr_def_17)))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_21560,c_27502]) ).
tcf(c_27649,plain,
m1_subset_1(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(backward_subsumption_resolution,[status(thm)],[c_21445,c_27502]) ).
tcf(c_27797,plain,
sK2 != iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_27412,c_27409]) ).
tcf(c_27813,plain,
sK3 = iPr_def_13,
inference(demodulation,[status(thm)],[c_10474,c_27409]) ).
tcf(c_27818,plain,
iPr_def_13 = iPr_def_18,
inference(demodulation,[status(thm)],[c_7365,c_27409]) ).
tcf(c_27930,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK21(iPr_def_13),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_27392,c_95]) ).
tcf(c_27932,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(light_normalisation,[status(thm)],[c_25561,c_27432]) ).
tcf(c_27947,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK13(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_3264]) ).
tcf(c_27953,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK13(iPr_def_12),iPr_def_17)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_27947,c_10043]) ).
tcf(c_27954,plain,
m1_subset_1(sK13(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_27953,c_9714,c_9579,c_9514]) ).
tcf(c_27991,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK20(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_3279]) ).
tcf(c_27997,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK20(iPr_def_12),iPr_def_17)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_27991,c_10043]) ).
tcf(c_27998,plain,
m1_subset_1(sK20(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_27997,c_9714,c_9579,c_9514]) ).
tcf(c_28040,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(iPr_def_12)))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10139,c_4459]) ).
tcf(c_28041,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k17_filter_2(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_4459]) ).
tcf(c_28047,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(iPr_def_13,iPr_def_17)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_28041,c_10043,c_10139]) ).
tcf(c_28079,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK13(iPr_def_12),iPr_def_17) ),
inference(superposition,[status(thm)],[c_27954,c_273]) ).
tcf(c_28080,plain,
k7_filter_2(iPr_def_12,sK13(iPr_def_12)) = sK13(iPr_def_12),
inference(superposition,[status(thm)],[c_27954,c_10292]) ).
tcf(c_28081,plain,
r2_hidden(sK13(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28079,c_9501]) ).
tcf(c_28082,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK20(iPr_def_12),iPr_def_17) ),
inference(superposition,[status(thm)],[c_27998,c_273]) ).
tcf(c_28083,plain,
k7_filter_2(iPr_def_12,sK20(iPr_def_12)) = sK20(iPr_def_12),
inference(superposition,[status(thm)],[c_27998,c_10292]) ).
tcf(c_28084,plain,
r2_hidden(sK20(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28082,c_9501]) ).
tcf(c_28086,plain,
( v3_struct_0(sK2)
| m1_subset_1(k17_filter_2(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_4459]) ).
tcf(c_28087,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK20(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_3279]) ).
tcf(c_28088,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK13(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_3264]) ).
tcf(c_28093,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ r2_hidden(k1_zfmisc_1(iPr_def_13),sK29(sK2)) ),
inference(superposition,[status(thm)],[c_27423,c_20112]) ).
tcf(c_28094,plain,
( v3_struct_0(sK2)
| r2_hidden(sK29(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_18647]) ).
tcf(c_28095,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK29(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_3529]) ).
tcf(c_28097,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| v1_xboole_0(X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_13))
| ~ v1_xboole_0(k7_filter_2(sK2,X0)) ),
inference(superposition,[status(thm)],[c_27423,c_125]) ).
tcf(c_28098,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| ( k7_filter_2(sK2,X0) = X0 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_27423,c_85]) ).
tcf(c_28099,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK29(sK2),iPr_def_17)
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_28095,c_10043]) ).
tcf(c_28100,plain,
( v3_struct_0(sK2)
| r2_hidden(sK29(sK2),iPr_def_17)
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_28094,c_10043]) ).
tcf(c_28101,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ r2_hidden(iPr_def_17,sK29(sK2)) ),
inference(light_normalisation,[status(thm)],[c_28093,c_10043]) ).
tcf(c_28102,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK13(sK2),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_28088,c_10043]) ).
tcf(c_28103,plain,
m1_subset_1(sK13(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28102,c_7369,c_7367,c_7368]) ).
tcf(c_28104,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK20(sK2),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_28087,c_10043]) ).
tcf(c_28105,plain,
m1_subset_1(sK20(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28104,c_7369,c_7367,c_7368]) ).
tcf(c_28106,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_13,iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_28086,c_10043,c_27431]) ).
tcf(c_28107,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| ( k7_filter_2(sK2,X0) = X0 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28098,c_10043]) ).
tcf(c_28109,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| v1_xboole_0(X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(X0,iPr_def_17)
| ~ v1_xboole_0(k7_filter_2(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_28097,c_10043]) ).
tcf(c_28111,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK13(sK2),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28103,c_273]) ).
tcf(c_28112,plain,
k7_filter_2(iPr_def_12,sK13(sK2)) = sK13(sK2),
inference(superposition,[status(thm)],[c_28103,c_10292]) ).
tcf(c_28113,plain,
r2_hidden(sK13(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28111,c_9501]) ).
tcf(c_28114,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK20(sK2),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28105,c_273]) ).
tcf(c_28115,plain,
k7_filter_2(iPr_def_12,sK20(sK2)) = sK20(sK2),
inference(superposition,[status(thm)],[c_28105,c_10292]) ).
tcf(c_28116,plain,
r2_hidden(sK20(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28114,c_9501]) ).
tcf(c_28119,plain,
~ r2_hidden(iPr_def_17,sK13(iPr_def_12)),
inference(superposition,[status(thm)],[c_28081,c_58]) ).
tcf(c_28120,plain,
( m1_subset_1(sK13(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28081,c_10059]) ).
tcf(c_28125,plain,
~ r2_hidden(iPr_def_17,sK20(iPr_def_12)),
inference(superposition,[status(thm)],[c_28084,c_58]) ).
tcf(c_28126,plain,
( m1_subset_1(sK20(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28084,c_10059]) ).
tcf(c_28131,plain,
~ r2_hidden(iPr_def_17,sK13(sK2)),
inference(superposition,[status(thm)],[c_28113,c_58]) ).
tcf(c_28132,plain,
( m1_subset_1(sK13(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28113,c_10059]) ).
tcf(c_28137,plain,
~ r2_hidden(iPr_def_17,sK20(sK2)),
inference(superposition,[status(thm)],[c_28116,c_58]) ).
tcf(c_28138,plain,
( m1_subset_1(sK20(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28116,c_10059]) ).
tcf(c_28147,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27431,c_4459]) ).
tcf(c_28150,plain,
( v3_struct_0(sK2)
| m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(iPr_def_13,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_27420,c_95]) ).
tcf(c_28152,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_13)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v3_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),X0))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_27311,c_137]) ).
tcf(c_28155,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v3_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28152,c_12975,c_27309]) ).
tcf(c_28162,plain,
! [X0: $i] :
( v1_xboole_0(iPr_def_13)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v3_struct_0(g3_lattices(iPr_def_13,u1_lattices(sK2),X0))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_27312,c_137]) ).
tcf(c_28165,plain,
! [X0: $i] :
( ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v3_struct_0(g3_lattices(iPr_def_13,u1_lattices(sK2),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28162,c_12975,c_27310]) ).
tcf(c_28175,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_27422,c_10808]) ).
tcf(c_28177,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_27422,c_10641]) ).
tcf(c_28179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = X2 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_27422,c_174]) ).
tcf(c_28180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK2) = X1 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_27422,c_173]) ).
tcf(c_28181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_27422,c_172]) ).
tcf(c_28185,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28177,c_27310,c_27309,c_27312,c_27311]) ).
tcf(c_28189,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28175,c_27310,c_27309,c_27312,c_27311]) ).
tcf(c_28193,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28181,c_27310,c_27309,c_27312,c_27311]) ).
tcf(c_28198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK2) = X1 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28180,c_27310,c_27309,c_27312,c_27311]) ).
tcf(c_28203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = X2 )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28179,c_27310,c_27309,c_27312,c_27311]) ).
tcf(c_28235,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK12(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_4519]) ).
tcf(c_28236,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK12(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_4519]) ).
tcf(c_28242,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK12(iPr_def_12),iPr_def_17)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_28236,c_10043]) ).
tcf(c_28243,plain,
m1_subset_1(sK12(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28242,c_9714,c_9579,c_9514]) ).
tcf(c_28244,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK12(sK2),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_28235,c_10043]) ).
tcf(c_28245,plain,
m1_subset_1(sK12(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28244,c_7369,c_7367,c_7368]) ).
tcf(c_28289,plain,
( v3_struct_0(sK2)
| m1_subset_1(k1_filter_0(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_4944]) ).
tcf(c_28290,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k1_filter_0(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_4944]) ).
tcf(c_28334,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK8(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_4989]) ).
tcf(c_28335,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK8(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_4989]) ).
tcf(c_28341,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK8(iPr_def_12),iPr_def_17)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_28335,c_10043]) ).
tcf(c_28342,plain,
m1_subset_1(sK8(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28341,c_9714,c_9579,c_9514]) ).
tcf(c_28343,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK8(sK2),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_28334,c_10043]) ).
tcf(c_28344,plain,
m1_subset_1(sK8(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28343,c_7369,c_7367,c_7368]) ).
tcf(c_28388,plain,
( v3_struct_0(sK2)
| m1_subset_1(k1_filter_2(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_5043]) ).
tcf(c_28389,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k1_filter_2(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_5043]) ).
tcf(c_28425,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK12(iPr_def_12),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28243,c_273]) ).
tcf(c_28426,plain,
k7_filter_2(iPr_def_12,sK12(iPr_def_12)) = sK12(iPr_def_12),
inference(superposition,[status(thm)],[c_28243,c_10292]) ).
tcf(c_28427,plain,
r2_hidden(sK12(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28425,c_9501]) ).
tcf(c_28428,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK12(sK2),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28245,c_273]) ).
tcf(c_28429,plain,
k7_filter_2(iPr_def_12,sK12(sK2)) = sK12(sK2),
inference(superposition,[status(thm)],[c_28245,c_10292]) ).
tcf(c_28430,plain,
r2_hidden(sK12(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28428,c_9501]) ).
tcf(c_28431,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK8(iPr_def_12),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28342,c_273]) ).
tcf(c_28432,plain,
k7_filter_2(iPr_def_12,sK8(iPr_def_12)) = sK8(iPr_def_12),
inference(superposition,[status(thm)],[c_28342,c_10292]) ).
tcf(c_28433,plain,
r2_hidden(sK8(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28431,c_9501]) ).
tcf(c_28434,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK8(sK2),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28344,c_273]) ).
tcf(c_28435,plain,
k7_filter_2(iPr_def_12,sK8(sK2)) = sK8(sK2),
inference(superposition,[status(thm)],[c_28344,c_10292]) ).
tcf(c_28436,plain,
r2_hidden(sK8(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_28434,c_9501]) ).
tcf(c_28441,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK13(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK13(sK2),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28112,c_95]) ).
tcf(c_28443,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK13(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK13(sK2),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28441,c_10043,c_10044]) ).
tcf(c_28444,plain,
m1_subset_1(sK13(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28443,c_9714,c_9579,c_9514,c_28103]) ).
tcf(c_28445,plain,
( v1_xboole_0(sK13(sK2))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK13(sK2))) ),
inference(superposition,[status(thm)],[c_28444,c_125]) ).
tcf(c_28446,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK13(sK2)) = sK13(sK2) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28444,c_85]) ).
tcf(c_28447,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK13(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_28444,c_273]) ).
tcf(c_28448,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK13(sK2)) ),
inference(superposition,[status(thm)],[c_28444,c_283]) ).
tcf(c_28449,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK13(sK2)) ),
inference(superposition,[status(thm)],[c_28444,c_279]) ).
tcf(c_28454,plain,
r2_hidden(sK13(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28447,c_129]) ).
tcf(c_28466,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK20(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK20(sK2),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28115,c_95]) ).
tcf(c_28468,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK20(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK20(sK2),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28466,c_10043,c_10044]) ).
tcf(c_28469,plain,
m1_subset_1(sK20(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28468,c_9714,c_9579,c_9514,c_28105]) ).
tcf(c_28470,plain,
( v1_xboole_0(sK20(sK2))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK20(sK2))) ),
inference(superposition,[status(thm)],[c_28469,c_125]) ).
tcf(c_28471,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK20(sK2)) = sK20(sK2) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28469,c_85]) ).
tcf(c_28472,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK20(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_28469,c_273]) ).
tcf(c_28473,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK20(sK2)) ),
inference(superposition,[status(thm)],[c_28469,c_283]) ).
tcf(c_28474,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK20(sK2)) ),
inference(superposition,[status(thm)],[c_28469,c_279]) ).
tcf(c_28479,plain,
r2_hidden(sK20(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28472,c_129]) ).
tcf(c_28495,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_27463,c_95]) ).
tcf(c_28497,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28495,c_10043,c_10044]) ).
tcf(c_28499,plain,
~ r2_hidden(iPr_def_17,sK12(iPr_def_12)),
inference(superposition,[status(thm)],[c_28427,c_58]) ).
tcf(c_28500,plain,
( m1_subset_1(sK12(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28427,c_10059]) ).
tcf(c_28505,plain,
~ r2_hidden(iPr_def_17,sK12(sK2)),
inference(superposition,[status(thm)],[c_28430,c_58]) ).
tcf(c_28506,plain,
( m1_subset_1(sK12(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28430,c_10059]) ).
tcf(c_28511,plain,
~ r2_hidden(iPr_def_17,sK8(iPr_def_12)),
inference(superposition,[status(thm)],[c_28433,c_58]) ).
tcf(c_28512,plain,
( m1_subset_1(sK8(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28433,c_10059]) ).
tcf(c_28517,plain,
~ r2_hidden(iPr_def_17,sK8(sK2)),
inference(superposition,[status(thm)],[c_28436,c_58]) ).
tcf(c_28518,plain,
( m1_subset_1(sK8(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28436,c_10059]) ).
tcf(c_28523,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK12(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK12(sK2),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28429,c_95]) ).
tcf(c_28525,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK12(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK12(sK2),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28523,c_10043,c_10044]) ).
tcf(c_28526,plain,
m1_subset_1(sK12(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28525,c_9714,c_9579,c_9514,c_28245]) ).
tcf(c_28527,plain,
( v1_xboole_0(sK12(sK2))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK12(sK2))) ),
inference(superposition,[status(thm)],[c_28526,c_125]) ).
tcf(c_28528,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK12(sK2)) = sK12(sK2) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28526,c_85]) ).
tcf(c_28529,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK12(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_28526,c_273]) ).
tcf(c_28530,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK12(sK2)) ),
inference(superposition,[status(thm)],[c_28526,c_283]) ).
tcf(c_28531,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK12(sK2)) ),
inference(superposition,[status(thm)],[c_28526,c_279]) ).
tcf(c_28536,plain,
r2_hidden(sK12(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28529,c_129]) ).
tcf(c_28548,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK8(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK8(sK2),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28435,c_95]) ).
tcf(c_28550,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK8(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK8(sK2),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28548,c_10043,c_10044]) ).
tcf(c_28551,plain,
m1_subset_1(sK8(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28550,c_9714,c_9579,c_9514,c_28344]) ).
tcf(c_28552,plain,
( v1_xboole_0(sK8(sK2))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK8(sK2))) ),
inference(superposition,[status(thm)],[c_28551,c_125]) ).
tcf(c_28553,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK8(sK2)) = sK8(sK2) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28551,c_85]) ).
tcf(c_28554,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK8(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_28551,c_273]) ).
tcf(c_28555,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK8(sK2)) ),
inference(superposition,[status(thm)],[c_28551,c_283]) ).
tcf(c_28556,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK8(sK2)) ),
inference(superposition,[status(thm)],[c_28551,c_279]) ).
tcf(c_28561,plain,
r2_hidden(sK8(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28554,c_129]) ).
tcf(c_28590,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_27466,c_95]) ).
tcf(c_28594,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK13(sK2)),
inference(superposition,[status(thm)],[c_28454,c_58]) ).
tcf(c_28595,plain,
( m1_subset_1(sK13(sK2),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28454,c_10059]) ).
tcf(c_28600,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK20(sK2)),
inference(superposition,[status(thm)],[c_28479,c_58]) ).
tcf(c_28601,plain,
( m1_subset_1(sK20(sK2),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28479,c_10059]) ).
tcf(c_28606,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK12(sK2)),
inference(superposition,[status(thm)],[c_28536,c_58]) ).
tcf(c_28607,plain,
( m1_subset_1(sK12(sK2),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28536,c_10059]) ).
tcf(c_28612,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK8(sK2)),
inference(superposition,[status(thm)],[c_28561,c_58]) ).
tcf(c_28613,plain,
( m1_subset_1(sK8(sK2),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28561,c_10059]) ).
tcf(c_28619,plain,
( m1_subset_1(sK11(sK21(iPr_def_17)),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_27496,c_10059]) ).
tcf(c_28648,plain,
! [X0: $i] :
( ( k7_filter_2(sK2,k7_filter_2(sK2,X0)) = k7_filter_2(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_27582,c_27581]) ).
tcf(c_28651,plain,
k7_filter_2(sK2,sK29(iPr_def_12)) = sK29(iPr_def_12),
inference(superposition,[status(thm)],[c_18636,c_27581]) ).
tcf(c_28654,plain,
k7_filter_2(sK2,sK13(iPr_def_12)) = sK13(iPr_def_12),
inference(superposition,[status(thm)],[c_27954,c_27581]) ).
tcf(c_28655,plain,
k7_filter_2(sK2,sK20(iPr_def_12)) = sK20(iPr_def_12),
inference(superposition,[status(thm)],[c_27998,c_27581]) ).
tcf(c_28656,plain,
k7_filter_2(sK2,sK13(sK2)) = sK13(sK2),
inference(superposition,[status(thm)],[c_28103,c_27581]) ).
tcf(c_28657,plain,
k7_filter_2(sK2,sK20(sK2)) = sK20(sK2),
inference(superposition,[status(thm)],[c_28105,c_27581]) ).
tcf(c_28658,plain,
k7_filter_2(sK2,sK12(iPr_def_12)) = sK12(iPr_def_12),
inference(superposition,[status(thm)],[c_28243,c_27581]) ).
tcf(c_28659,plain,
k7_filter_2(sK2,sK12(sK2)) = sK12(sK2),
inference(superposition,[status(thm)],[c_28245,c_27581]) ).
tcf(c_28660,plain,
k7_filter_2(sK2,sK8(iPr_def_12)) = sK8(iPr_def_12),
inference(superposition,[status(thm)],[c_28342,c_27581]) ).
tcf(c_28661,plain,
k7_filter_2(sK2,sK8(sK2)) = sK8(sK2),
inference(superposition,[status(thm)],[c_28344,c_27581]) ).
tcf(c_28665,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK13(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK13(sK2),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28656,c_95]) ).
tcf(c_28668,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK20(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK20(sK2),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28657,c_95]) ).
tcf(c_28671,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK12(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK12(sK2),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28659,c_95]) ).
tcf(c_28674,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK8(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK8(sK2),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28661,c_95]) ).
tcf(c_28681,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(iPr_def_13,sK23)
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_27468,c_21863]) ).
tcf(c_28682,plain,
( r2_hidden(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_27468,c_21783]) ).
tcf(c_28683,plain,
( m1_subset_1(sK23,iPr_def_13)
| v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ m1_subset_1(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_27468,c_18101]) ).
tcf(c_28684,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))),sK23) ),
inference(superposition,[status(thm)],[c_27468,c_11000]) ).
tcf(c_28685,plain,
( v1_xboole_0(sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| r2_hidden(sK23,sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_27468,c_9881]) ).
tcf(c_28686,plain,
( m1_subset_1(sK23,sK21(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_27468,c_121]) ).
tcf(c_28687,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ r2_hidden(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))),sK23) ),
inference(superposition,[status(thm)],[c_27468,c_20234]) ).
tcf(c_28688,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| r2_hidden(sK23,k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_27468,c_20169]) ).
tcf(c_28689,plain,
( v1_xboole_0(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| m1_subset_1(sK23,k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17))))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_27468,c_20160]) ).
tcf(c_28690,plain,
( v1_funct_1(sK11(k1_zfmisc_1(sK23)))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_27468,c_24782]) ).
tcf(c_28691,plain,
( v1_xboole_0(sK11(k1_zfmisc_1(sK23)))
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_27468,c_24369]) ).
tcf(c_28698,plain,
( v1_xboole_0(sK23)
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17))) ),
inference(light_normalisation,[status(thm)],[c_28691,c_14355]) ).
tcf(c_28699,plain,
( v1_funct_1(sK23)
| ( k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ~ v1_xboole_0(sK11(k1_zfmisc_1(iPr_def_17))) ),
inference(light_normalisation,[status(thm)],[c_28690,c_14355]) ).
tcf(c_28711,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(iPr_def_17),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_27579,c_95]) ).
tcf(c_28719,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK13(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK13(iPr_def_12),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28080,c_95]) ).
tcf(c_28721,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK13(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK13(iPr_def_12),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28719,c_10043,c_10044]) ).
tcf(c_28722,plain,
m1_subset_1(sK13(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28721,c_9714,c_9579,c_9514,c_27954]) ).
tcf(c_28723,plain,
( v1_xboole_0(sK13(iPr_def_12))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK13(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28722,c_125]) ).
tcf(c_28724,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK13(iPr_def_12)) = sK13(iPr_def_12) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28722,c_85]) ).
tcf(c_28725,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK13(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_28722,c_273]) ).
tcf(c_28726,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK13(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28722,c_283]) ).
tcf(c_28727,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK13(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28722,c_279]) ).
tcf(c_28732,plain,
r2_hidden(sK13(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28725,c_129]) ).
tcf(c_28748,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))) = g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) )
| ~ v1_funct_1(u2_lattices(sK2))
| ~ l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) ),
inference(superposition,[status(thm)],[c_27297,c_57]) ).
tcf(c_28756,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))) = k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) )
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_27303,c_84]) ).
tcf(c_28763,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2)))) = g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2)) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ l3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2))) ),
inference(superposition,[status(thm)],[c_27305,c_57]) ).
tcf(c_28771,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2)))) = k1_lattice2(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(sK2))) )
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_27307,c_84]) ).
tcf(c_28796,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_27466,c_27472]) ).
tcf(c_28797,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_27472,c_95]) ).
tcf(c_28802,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28797,c_10043,c_10044]) ).
tcf(c_28804,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK13(iPr_def_12)),
inference(superposition,[status(thm)],[c_28732,c_58]) ).
tcf(c_28805,plain,
( m1_subset_1(sK13(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28732,c_10059]) ).
tcf(c_28818,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK13(sK2)) ),
inference(superposition,[status(thm)],[c_28449,c_273]) ).
tcf(c_28823,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK20(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK20(iPr_def_12),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28083,c_95]) ).
tcf(c_28825,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK20(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK20(iPr_def_12),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_28823,c_10043,c_10044]) ).
tcf(c_28826,plain,
m1_subset_1(sK20(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28825,c_9714,c_9579,c_9514,c_27998]) ).
tcf(c_28827,plain,
( v1_xboole_0(sK20(iPr_def_12))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK20(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28826,c_125]) ).
tcf(c_28828,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK20(iPr_def_12)) = sK20(iPr_def_12) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28826,c_85]) ).
tcf(c_28829,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK20(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_28826,c_273]) ).
tcf(c_28830,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK20(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28826,c_283]) ).
tcf(c_28831,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK20(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28826,c_279]) ).
tcf(c_28836,plain,
r2_hidden(sK20(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_28829,c_129]) ).
tcf(c_28848,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK20(iPr_def_12)),
inference(superposition,[status(thm)],[c_28836,c_58]) ).
tcf(c_28849,plain,
( m1_subset_1(sK20(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_28836,c_10059]) ).
tcf(c_28858,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK13(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28120,c_273]) ).
tcf(c_28859,plain,
( r2_hidden(sK13(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28858,c_12975]) ).
tcf(c_28884,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2)))) = g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2)) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2))) ),
inference(superposition,[status(thm)],[c_27296,c_57]) ).
tcf(c_28895,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2)))) = k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(sK2))) )
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_27302,c_84]) ).
tcf(c_28909,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26153,c_27301]) ).
tcf(c_28910,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_27301]) ).
tcf(c_28913,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28910,c_26190]) ).
tcf(c_28917,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28909,c_26232]) ).
tcf(c_28931,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26153,c_27304]) ).
tcf(c_28932,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_27304]) ).
tcf(c_28935,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28932,c_26190]) ).
tcf(c_28939,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28931,c_26232]) ).
tcf(c_28953,plain,
( v3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26153,c_27306]) ).
tcf(c_28954,plain,
( v3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_27306]) ).
tcf(c_28955,plain,
( v3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_27311,c_27306]) ).
tcf(c_28957,plain,
( v3_lattices(iPr_def_12)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_28955,c_27422]) ).
tcf(c_28958,plain,
( v3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28954,c_26190]) ).
tcf(c_28962,plain,
( v3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28953,c_26232]) ).
tcf(c_28976,plain,
( l3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26153,c_27308]) ).
tcf(c_28977,plain,
( l3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_27308]) ).
tcf(c_28978,plain,
( l3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u2_lattices(sK2)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_27311,c_27308]) ).
tcf(c_28980,plain,
( l3_lattices(iPr_def_12)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_28978,c_27422]) ).
tcf(c_28981,plain,
( l3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ v1_funct_1(u1_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28977,c_26190]) ).
tcf(c_28985,plain,
( l3_lattices(g3_lattices(iPr_def_13,u1_lattices(sK2),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_1(u2_lattices(iPr_def_12)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28976,c_26232]) ).
tcf(c_29007,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_27466,c_27477]) ).
tcf(c_29008,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_27477,c_95]) ).
tcf(c_29013,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(k7_filter_2(sK2,sK11(sK11(k1_zfmisc_1(iPr_def_17)))),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_29008,c_10043,c_10044]) ).
tcf(c_29023,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK20(sK2)) ),
inference(superposition,[status(thm)],[c_28474,c_273]) ).
tcf(c_29036,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK20(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28126,c_273]) ).
tcf(c_29037,plain,
( r2_hidden(sK20(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29036,c_12975]) ).
tcf(c_29044,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK13(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28132,c_273]) ).
tcf(c_29045,plain,
( r2_hidden(sK13(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29044,c_12975]) ).
tcf(c_29052,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK20(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28138,c_273]) ).
tcf(c_29053,plain,
( r2_hidden(sK20(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29052,c_12975]) ).
tcf(c_29056,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK12(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK12(iPr_def_12),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28426,c_95]) ).
tcf(c_29058,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK12(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK12(iPr_def_12),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_29056,c_10043,c_10044]) ).
tcf(c_29059,plain,
m1_subset_1(sK12(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29058,c_9714,c_9579,c_9514,c_28243]) ).
tcf(c_29060,plain,
( v1_xboole_0(sK12(iPr_def_12))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK12(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_29059,c_125]) ).
tcf(c_29061,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK12(iPr_def_12)) = sK12(iPr_def_12) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29059,c_85]) ).
tcf(c_29062,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK12(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_29059,c_273]) ).
tcf(c_29063,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK12(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29059,c_283]) ).
tcf(c_29064,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK12(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29059,c_279]) ).
tcf(c_29069,plain,
r2_hidden(sK12(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29062,c_129]) ).
tcf(c_29115,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK8(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK8(iPr_def_12),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_28432,c_95]) ).
tcf(c_29117,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK8(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK8(iPr_def_12),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_29115,c_10043,c_10044]) ).
tcf(c_29118,plain,
m1_subset_1(sK8(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29117,c_9714,c_9579,c_9514,c_28342]) ).
tcf(c_29119,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK21(iPr_def_17)),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_27507,c_95]) ).
tcf(c_29123,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK12(iPr_def_12)),
inference(superposition,[status(thm)],[c_29069,c_58]) ).
tcf(c_29124,plain,
( m1_subset_1(sK12(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_29069,c_10059]) ).
tcf(c_29133,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK12(sK2)) ),
inference(superposition,[status(thm)],[c_28531,c_273]) ).
tcf(c_29142,plain,
( v1_xboole_0(sK8(iPr_def_12))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK8(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_29118,c_125]) ).
tcf(c_29143,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK8(iPr_def_12)) = sK8(iPr_def_12) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29118,c_85]) ).
tcf(c_29144,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK8(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_29118,c_273]) ).
tcf(c_29145,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK8(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29118,c_283]) ).
tcf(c_29146,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK8(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29118,c_279]) ).
tcf(c_29151,plain,
r2_hidden(sK8(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29144,c_129]) ).
tcf(c_29163,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK8(iPr_def_12)),
inference(superposition,[status(thm)],[c_29151,c_58]) ).
tcf(c_29164,plain,
( m1_subset_1(sK8(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_29151,c_10059]) ).
tcf(c_29173,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK12(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28500,c_273]) ).
tcf(c_29174,plain,
( r2_hidden(sK12(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29173,c_12975]) ).
tcf(c_29181,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK12(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28506,c_273]) ).
tcf(c_29182,plain,
( r2_hidden(sK12(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29181,c_12975]) ).
tcf(c_29185,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK29(iPr_def_12),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28651,c_95]) ).
tcf(c_29189,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK13(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK13(iPr_def_12),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28654,c_95]) ).
tcf(c_29193,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK20(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK20(iPr_def_12),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28655,c_95]) ).
tcf(c_29197,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK12(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK12(iPr_def_12),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28658,c_95]) ).
tcf(c_29201,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK8(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK8(iPr_def_12),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_28660,c_95]) ).
tcf(c_29209,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK13(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28859,c_58]) ).
tcf(c_29219,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK20(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29037,c_58]) ).
tcf(c_29229,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK13(sK2)) ),
inference(superposition,[status(thm)],[c_29045,c_58]) ).
tcf(c_29239,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_27508,c_95]) ).
tcf(c_29262,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK8(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28512,c_273]) ).
tcf(c_29263,plain,
( r2_hidden(sK8(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29262,c_12975]) ).
tcf(c_29270,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK8(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_28518,c_273]) ).
tcf(c_29271,plain,
( r2_hidden(sK8(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29270,c_12975]) ).
tcf(c_29278,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK20(sK2)) ),
inference(superposition,[status(thm)],[c_29053,c_58]) ).
tcf(c_29288,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK12(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29174,c_58]) ).
tcf(c_29298,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK12(sK2)) ),
inference(superposition,[status(thm)],[c_29182,c_58]) ).
tcf(c_29308,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK8(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29263,c_58]) ).
tcf(c_29318,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK8(sK2)) ),
inference(superposition,[status(thm)],[c_29271,c_58]) ).
tcf(c_29328,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK8(sK2)) ),
inference(superposition,[status(thm)],[c_28556,c_273]) ).
tcf(c_29341,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK13(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28727,c_273]) ).
tcf(c_29354,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK20(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_28831,c_273]) ).
tcf(c_29363,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_27510,c_95]) ).
tcf(c_29411,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK12(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29064,c_273]) ).
tcf(c_29424,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK8(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29146,c_273]) ).
tcf(c_29433,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(iPr_def_17))) = k7_filter_2(sK2,sK11(iPr_def_17)),
inference(superposition,[status(thm)],[c_121,c_27576]) ).
tcf(c_29435,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,iPr_def_13)) = k7_filter_2(sK2,iPr_def_13),
inference(superposition,[status(thm)],[c_10042,c_27576]) ).
tcf(c_29436,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK21(iPr_def_13))) = k7_filter_2(sK2,sK21(iPr_def_13)),
inference(superposition,[status(thm)],[c_12980,c_27576]) ).
tcf(c_29437,plain,
! [X0: $i] :
( ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,k7_filter_2(sK2,X0))) = k7_filter_2(sK2,k7_filter_2(sK2,X0)) )
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_27582,c_27576]) ).
tcf(c_29439,plain,
( v1_xboole_0(iPr_def_17)
| ( k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK21(iPr_def_17)))) = k7_filter_2(sK2,sK11(sK21(iPr_def_17))) ) ),
inference(superposition,[status(thm)],[c_20160,c_27576]) ).
tcf(c_29440,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK29(iPr_def_12))) = k7_filter_2(sK2,sK29(iPr_def_12)),
inference(superposition,[status(thm)],[c_18636,c_27576]) ).
tcf(c_29442,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK11(sK21(iPr_def_17)))) = k7_filter_2(sK2,sK11(sK21(iPr_def_17))),
inference(superposition,[status(thm)],[c_27502,c_27576]) ).
tcf(c_29443,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK13(iPr_def_12))) = k7_filter_2(sK2,sK13(iPr_def_12)),
inference(superposition,[status(thm)],[c_27954,c_27576]) ).
tcf(c_29444,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK20(iPr_def_12))) = k7_filter_2(sK2,sK20(iPr_def_12)),
inference(superposition,[status(thm)],[c_27998,c_27576]) ).
tcf(c_29445,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK13(sK2))) = k7_filter_2(sK2,sK13(sK2)),
inference(superposition,[status(thm)],[c_28103,c_27576]) ).
tcf(c_29446,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK20(sK2))) = k7_filter_2(sK2,sK20(sK2)),
inference(superposition,[status(thm)],[c_28105,c_27576]) ).
tcf(c_29447,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK12(iPr_def_12))) = k7_filter_2(sK2,sK12(iPr_def_12)),
inference(superposition,[status(thm)],[c_28243,c_27576]) ).
tcf(c_29448,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK12(sK2))) = k7_filter_2(sK2,sK12(sK2)),
inference(superposition,[status(thm)],[c_28245,c_27576]) ).
tcf(c_29449,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK8(iPr_def_12))) = k7_filter_2(sK2,sK8(iPr_def_12)),
inference(superposition,[status(thm)],[c_28342,c_27576]) ).
tcf(c_29450,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK8(sK2))) = k7_filter_2(sK2,sK8(sK2)),
inference(superposition,[status(thm)],[c_28344,c_27576]) ).
tcf(c_29474,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ l3_lattices(sK2)
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(superposition,[status(thm)],[c_2923,c_28185]) ).
tcf(c_29475,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29474,c_7367]) ).
tcf(c_29484,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK2) )
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_2991,c_29475]) ).
tcf(c_29485,plain,
u2_lattices(iPr_def_12) = u1_lattices(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_29484,c_7367]) ).
tcf(c_29486,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(demodulation,[status(thm)],[c_27308,c_29485]) ).
tcf(c_29487,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(demodulation,[status(thm)],[c_27306,c_29485]) ).
tcf(c_29490,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u2_lattices(iPr_def_12)) ),
inference(demodulation,[status(thm)],[c_27307,c_29485]) ).
tcf(c_29491,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12)))
| ~ v1_funct_1(u2_lattices(iPr_def_12)) ),
inference(demodulation,[status(thm)],[c_27305,c_29485]) ).
tcf(c_29492,plain,
g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(sK2)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_27422,c_29485]) ).
tcf(c_29512,plain,
( m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_29485,c_3043]) ).
tcf(c_29513,plain,
( v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_29485,c_2914]) ).
tcf(c_29514,plain,
( v1_funct_1(u2_lattices(iPr_def_12))
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_29485,c_2923]) ).
tcf(c_29515,plain,
v1_funct_1(u2_lattices(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_29514,c_7367]) ).
tcf(c_29516,plain,
( v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_29513,c_27423]) ).
tcf(c_29517,plain,
( m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ l3_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_29512,c_27423]) ).
tcf(c_29519,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_29492,c_10808]) ).
tcf(c_29522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = X2 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29492,c_174]) ).
tcf(c_29523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = X1 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29492,c_173]) ).
tcf(c_29524,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29492,c_172]) ).
tcf(c_29528,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29519,c_26232,c_27309,c_26153,c_27311]) ).
tcf(c_29532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29524,c_26232,c_27309,c_26153,c_27311]) ).
tcf(c_29537,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = X1 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29523,c_26232,c_27309,c_26153,c_27311]) ).
tcf(c_29542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = X2 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ( g3_lattices(X0,X1,X2) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29522,c_26232,c_27309,c_26153,c_27311]) ).
tcf(c_29562,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK9(sK2),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(superposition,[status(thm)],[c_27423,c_5071]) ).
tcf(c_29563,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK9(iPr_def_12),k1_zfmisc_1(iPr_def_13))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10044,c_5071]) ).
tcf(c_29569,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK9(iPr_def_12),iPr_def_17)
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_29563,c_10043]) ).
tcf(c_29570,plain,
m1_subset_1(sK9(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_29569,c_9714,c_9579,c_9514]) ).
tcf(c_29571,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK9(sK2),iPr_def_17)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2) ),
inference(light_normalisation,[status(thm)],[c_29562,c_10043]) ).
tcf(c_29572,plain,
m1_subset_1(sK9(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_29571,c_7369,c_7367,c_7368]) ).
tcf(c_29610,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(X0))
| ( k7_filter_2(k1_lattice2(X0),sK23) = sK23 )
| ~ sP0(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_147,c_10280]) ).
tcf(c_29611,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ( k7_filter_2(k1_lattice2(X0),sK23) = sK23 )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_4235,c_10280]) ).
tcf(c_29636,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK9(iPr_def_12),iPr_def_17) ),
inference(superposition,[status(thm)],[c_29570,c_273]) ).
tcf(c_29637,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK9(iPr_def_12))) = k7_filter_2(sK2,sK9(iPr_def_12)),
inference(superposition,[status(thm)],[c_29570,c_27576]) ).
tcf(c_29638,plain,
k7_filter_2(sK2,sK9(iPr_def_12)) = sK9(iPr_def_12),
inference(superposition,[status(thm)],[c_29570,c_27581]) ).
tcf(c_29639,plain,
k7_filter_2(iPr_def_12,sK9(iPr_def_12)) = sK9(iPr_def_12),
inference(superposition,[status(thm)],[c_29570,c_10292]) ).
tcf(c_29640,plain,
r2_hidden(sK9(iPr_def_12),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_29636,c_9501]) ).
tcf(c_29641,plain,
( v1_xboole_0(iPr_def_17)
| r2_hidden(sK9(sK2),iPr_def_17) ),
inference(superposition,[status(thm)],[c_29572,c_273]) ).
tcf(c_29642,plain,
k7_filter_2(iPr_def_12,k7_filter_2(sK2,sK9(sK2))) = k7_filter_2(sK2,sK9(sK2)),
inference(superposition,[status(thm)],[c_29572,c_27576]) ).
tcf(c_29643,plain,
k7_filter_2(sK2,sK9(sK2)) = sK9(sK2),
inference(superposition,[status(thm)],[c_29572,c_27581]) ).
tcf(c_29644,plain,
k7_filter_2(iPr_def_12,sK9(sK2)) = sK9(sK2),
inference(superposition,[status(thm)],[c_29572,c_10292]) ).
tcf(c_29645,plain,
r2_hidden(sK9(sK2),iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_29641,c_9501]) ).
tcf(c_29646,plain,
~ r2_hidden(iPr_def_17,sK9(iPr_def_12)),
inference(superposition,[status(thm)],[c_29640,c_58]) ).
tcf(c_29647,plain,
( m1_subset_1(sK9(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29640,c_10059]) ).
tcf(c_29652,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK9(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK9(sK2),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_29643,c_95]) ).
tcf(c_29656,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK9(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK9(sK2),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_29644,c_95]) ).
tcf(c_29658,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK9(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK9(sK2),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_29656,c_10043,c_10044]) ).
tcf(c_29659,plain,
m1_subset_1(sK9(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29658,c_9714,c_9579,c_9514,c_29572]) ).
tcf(c_29660,plain,
( v1_xboole_0(sK9(sK2))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK9(sK2))) ),
inference(superposition,[status(thm)],[c_29659,c_125]) ).
tcf(c_29661,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK9(sK2)) = sK9(sK2) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29659,c_85]) ).
tcf(c_29662,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK9(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_29659,c_273]) ).
tcf(c_29663,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK9(sK2)) ),
inference(superposition,[status(thm)],[c_29659,c_283]) ).
tcf(c_29664,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK9(sK2)) ),
inference(superposition,[status(thm)],[c_29659,c_279]) ).
tcf(c_29669,plain,
r2_hidden(sK9(sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29662,c_129]) ).
tcf(c_29681,plain,
l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),
inference(global_subsumption_just,[status(thm)],[c_29490,c_29490,c_29515]) ).
tcf(c_29683,plain,
g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12)))) = k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),
inference(superposition,[status(thm)],[c_29681,c_84]) ).
tcf(c_29684,plain,
v3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),
inference(global_subsumption_just,[status(thm)],[c_29491,c_29491,c_29515]) ).
tcf(c_29686,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12)))) = g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12)) )
| ~ l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_29684,c_57]) ).
tcf(c_29687,plain,
g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12)))) = g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_29686,c_29681]) ).
tcf(c_29689,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(global_subsumption_just,[status(thm)],[c_29486,c_26232,c_26290,c_29515]) ).
tcf(c_29690,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(renaming,[status(thm)],[c_29689]) ).
tcf(c_29701,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_29690]) ).
tcf(c_29702,plain,
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(sK2)))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_27311,c_29690]) ).
tcf(c_29703,plain,
( l3_lattices(iPr_def_12)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_29702,c_29492]) ).
tcf(c_29704,plain,
( l3_lattices(iPr_def_12)
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_29701,c_10230]) ).
tcf(c_29705,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(global_subsumption_just,[status(thm)],[c_29487,c_26232,c_26291,c_29515]) ).
tcf(c_29706,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(renaming,[status(thm)],[c_29705]) ).
tcf(c_29717,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u1_lattices(iPr_def_12)))
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_26017,c_29706]) ).
tcf(c_29718,plain,
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(iPr_def_12),u2_lattices(sK2)))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(superposition,[status(thm)],[c_27311,c_29706]) ).
tcf(c_29719,plain,
( v3_lattices(iPr_def_12)
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_29718,c_29492]) ).
tcf(c_29720,plain,
( v3_lattices(iPr_def_12)
| ~ v1_funct_1(u1_lattices(iPr_def_12))
| ~ m1_relset_1(u1_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_29717,c_10230]) ).
tcf(c_29722,plain,
~ r2_hidden(iPr_def_17,sK9(sK2)),
inference(superposition,[status(thm)],[c_29645,c_58]) ).
tcf(c_29723,plain,
( m1_subset_1(sK9(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29645,c_10059]) ).
tcf(c_29732,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK9(sK2)),
inference(superposition,[status(thm)],[c_29669,c_58]) ).
tcf(c_29733,plain,
( m1_subset_1(sK9(sK2),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_29669,c_10059]) ).
tcf(c_29738,plain,
( v3_struct_0(sK2)
| m1_subset_1(sK9(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| ~ m1_subset_1(sK9(iPr_def_12),k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[status(thm)],[c_29638,c_95]) ).
tcf(c_29742,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK9(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK9(iPr_def_12),k1_zfmisc_1(u1_struct_0(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_29639,c_95]) ).
tcf(c_29744,plain,
( v3_struct_0(iPr_def_12)
| m1_subset_1(sK9(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| ~ l3_lattices(iPr_def_12)
| ~ v10_lattices(iPr_def_12)
| ~ m1_subset_1(sK9(iPr_def_12),iPr_def_17) ),
inference(light_normalisation,[status(thm)],[c_29742,c_10043,c_10044]) ).
tcf(c_29745,plain,
m1_subset_1(sK9(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29744,c_9714,c_9579,c_9514,c_29570]) ).
tcf(c_29746,plain,
( v1_xboole_0(sK9(iPr_def_12))
| v3_struct_0(k1_lattice2(iPr_def_12))
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12))
| ~ v1_xboole_0(k7_filter_2(k1_lattice2(iPr_def_12),sK9(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_29745,c_125]) ).
tcf(c_29747,plain,
( v3_struct_0(k1_lattice2(iPr_def_12))
| ( k7_filter_2(k1_lattice2(iPr_def_12),sK9(iPr_def_12)) = sK9(iPr_def_12) )
| ~ l3_lattices(k1_lattice2(iPr_def_12))
| ~ v10_lattices(k1_lattice2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29745,c_85]) ).
tcf(c_29748,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))))
| r2_hidden(sK9(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_29745,c_273]) ).
tcf(c_29749,plain,
! [X0: $i] :
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK9(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29745,c_283]) ).
tcf(c_29750,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK9(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29745,c_279]) ).
tcf(c_29755,plain,
r2_hidden(sK9(iPr_def_12),k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_29748,c_129]) ).
tcf(c_29815,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK9(sK2)) ),
inference(superposition,[status(thm)],[c_29664,c_273]) ).
tcf(c_29828,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(k1_lattice2(iPr_def_12)))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK9(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29750,c_273]) ).
tcf(c_29833,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ v1_funct_1(u2_lattices(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_28189,c_29515,c_29528]) ).
tcf(c_29839,plain,
( ( u2_lattices(sK2) = u1_lattices(iPr_def_12) )
| ~ l3_lattices(sK2) ),
inference(superposition,[status(thm)],[c_2991,c_29833]) ).
tcf(c_29840,plain,
u2_lattices(sK2) = u1_lattices(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_29839,c_7367]) ).
tcf(c_29844,plain,
g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(iPr_def_12)) = k1_lattice2(iPr_def_12),
inference(demodulation,[status(thm)],[c_10116,c_29840]) ).
tcf(c_29875,plain,
( m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(iPr_def_12),u1_struct_0(iPr_def_12)),u1_struct_0(iPr_def_12))
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_29840,c_3043]) ).
tcf(c_29876,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(iPr_def_12),u1_struct_0(iPr_def_12)),u1_struct_0(iPr_def_12))
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_29840,c_2914]) ).
tcf(c_29877,plain,
( v1_funct_1(u2_lattices(sK2))
| ~ l3_lattices(iPr_def_12) ),
inference(superposition,[status(thm)],[c_29840,c_2923]) ).
tcf(c_29878,plain,
v1_funct_1(u2_lattices(sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_29877,c_9579]) ).
tcf(c_29879,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_29876,c_10044]) ).
tcf(c_29880,plain,
( m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ l3_lattices(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_29875,c_10044]) ).
tcf(c_29881,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(backward_subsumption_resolution,[status(thm)],[c_27304,c_29878]) ).
tcf(c_29882,plain,
l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),
inference(backward_subsumption_resolution,[status(thm)],[c_27303,c_29878]) ).
tcf(c_29883,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(X0,k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13) ),
inference(backward_subsumption_resolution,[status(thm)],[c_27301,c_29878]) ).
tcf(c_29884,plain,
v3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),
inference(backward_subsumption_resolution,[status(thm)],[c_27297,c_29878]) ).
tcf(c_29895,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),sK9(iPr_def_12)),
inference(superposition,[status(thm)],[c_29755,c_58]) ).
tcf(c_29896,plain,
( m1_subset_1(sK9(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(k1_lattice2(iPr_def_12))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_29755,c_10059]) ).
tcf(c_29907,plain,
g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))) = k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),
inference(superposition,[status(thm)],[c_29882,c_84]) ).
tcf(c_29908,plain,
( ( g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))) = g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) )
| ~ l3_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) ),
inference(superposition,[status(thm)],[c_29884,c_57]) ).
tcf(c_29909,plain,
g3_lattices(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))) = g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_29908,c_29882]) ).
tcf(c_29914,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK9(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29647,c_273]) ).
tcf(c_29915,plain,
( r2_hidden(sK9(iPr_def_12),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29914,c_12975]) ).
tcf(c_29918,plain,
( ( u2_lattices(sK2) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( k1_lattice2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29844,c_10809]) ).
tcf(c_29921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = X2 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29844,c_174]) ).
tcf(c_29922,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = X1 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29844,c_173]) ).
tcf(c_29923,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ~ v1_funct_1(u2_lattices(iPr_def_12))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(iPr_def_12),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(iPr_def_13,iPr_def_13),iPr_def_13)
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29844,c_172]) ).
tcf(c_29935,plain,
( ( u2_lattices(sK2) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29918,c_29515,c_29878,c_26232,c_27309,c_26153,c_27311]) ).
tcf(c_29938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = iPr_def_13 )
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29923,c_29515,c_29878,c_26232,c_27309,c_26153,c_27311]) ).
tcf(c_29941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK2) = X1 )
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29922,c_29515,c_29878,c_26232,c_27309,c_26153,c_27311]) ).
tcf(c_29944,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_12) = X2 )
| ( g3_lattices(X0,X1,X2) != k1_lattice2(iPr_def_12) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29921,c_29515,c_29878,c_26232,c_27309,c_26153,c_27311]) ).
tcf(c_29958,plain,
( ( u1_struct_0(sK18) = iPr_def_13 )
| ( k1_lattice2(sK18) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10111,c_29938]) ).
tcf(c_29959,plain,
( ( u1_struct_0(sK18) = iPr_def_13 )
| ( k1_lattice2(iPr_def_12) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_29938]) ).
tcf(c_29960,plain,
( ( u1_struct_0(sK15) = iPr_def_13 )
| ( k1_lattice2(iPr_def_12) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_29938]) ).
tcf(c_29961,plain,
( ( u1_struct_0(sK16) = iPr_def_13 )
| ( k1_lattice2(iPr_def_12) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_29938]) ).
tcf(c_29962,plain,
( ( u1_struct_0(sK17) = iPr_def_13 )
| ( k1_lattice2(iPr_def_12) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_29938]) ).
tcf(c_29963,plain,
( ( u1_struct_0(sK27) = iPr_def_13 )
| ( k1_lattice2(iPr_def_12) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_29938]) ).
tcf(c_29964,plain,
( ( u1_struct_0(sK30) = iPr_def_13 )
| ( k1_lattice2(iPr_def_12) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_29938]) ).
tcf(c_29965,plain,
( ( u1_struct_0(sK31) = iPr_def_13 )
| ( k1_lattice2(iPr_def_12) != sK31 ) ),
inference(superposition,[status(thm)],[c_10231,c_29938]) ).
tcf(c_29966,plain,
( ( u1_struct_0(sK7) = iPr_def_13 )
| ( k1_lattice2(sK7) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10107,c_29938]) ).
tcf(c_29967,plain,
( ( u1_struct_0(sK15) = iPr_def_13 )
| ( k1_lattice2(sK15) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10108,c_29938]) ).
tcf(c_29968,plain,
( ( u1_struct_0(sK16) = iPr_def_13 )
| ( k1_lattice2(sK16) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10109,c_29938]) ).
tcf(c_29969,plain,
( ( u1_struct_0(sK17) = iPr_def_13 )
| ( k1_lattice2(sK17) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10110,c_29938]) ).
tcf(c_29970,plain,
( ( u1_struct_0(sK27) = iPr_def_13 )
| ( k1_lattice2(sK27) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10112,c_29938]) ).
tcf(c_29971,plain,
( ( u1_struct_0(sK30) = iPr_def_13 )
| ( k1_lattice2(sK30) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10113,c_29938]) ).
tcf(c_29972,plain,
( ( u1_struct_0(sK31) = iPr_def_13 )
| ( k1_lattice2(sK31) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10114,c_29938]) ).
tcf(c_30066,plain,
( ( u2_lattices(sK2) = u1_lattices(sK18) )
| ( k1_lattice2(sK18) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10111,c_29941]) ).
tcf(c_30067,plain,
( ( u2_lattices(sK2) = u2_lattices(sK18) )
| ( k1_lattice2(iPr_def_12) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_29941]) ).
tcf(c_30068,plain,
( ( u2_lattices(sK2) = u2_lattices(sK15) )
| ( k1_lattice2(iPr_def_12) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_29941]) ).
tcf(c_30069,plain,
( ( u2_lattices(sK2) = u2_lattices(sK16) )
| ( k1_lattice2(iPr_def_12) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_29941]) ).
tcf(c_30070,plain,
( ( u2_lattices(sK2) = u2_lattices(sK17) )
| ( k1_lattice2(iPr_def_12) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_29941]) ).
tcf(c_30071,plain,
( ( u2_lattices(sK2) = u2_lattices(sK27) )
| ( k1_lattice2(iPr_def_12) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_29941]) ).
tcf(c_30072,plain,
( ( u2_lattices(sK2) = u2_lattices(sK30) )
| ( k1_lattice2(iPr_def_12) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_29941]) ).
tcf(c_30073,plain,
( ( u2_lattices(sK2) = u2_lattices(sK31) )
| ( k1_lattice2(iPr_def_12) != sK31 ) ),
inference(superposition,[status(thm)],[c_10231,c_29941]) ).
tcf(c_30074,plain,
( ( u2_lattices(sK2) = u1_lattices(sK7) )
| ( k1_lattice2(sK7) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10107,c_29941]) ).
tcf(c_30075,plain,
( ( u2_lattices(sK2) = u1_lattices(sK15) )
| ( k1_lattice2(sK15) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10108,c_29941]) ).
tcf(c_30076,plain,
( ( u2_lattices(sK2) = u1_lattices(sK16) )
| ( k1_lattice2(sK16) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10109,c_29941]) ).
tcf(c_30077,plain,
( ( u2_lattices(sK2) = u1_lattices(sK17) )
| ( k1_lattice2(sK17) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10110,c_29941]) ).
tcf(c_30078,plain,
( ( u2_lattices(sK2) = u1_lattices(sK27) )
| ( k1_lattice2(sK27) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10112,c_29941]) ).
tcf(c_30079,plain,
( ( u2_lattices(sK2) = u1_lattices(sK30) )
| ( k1_lattice2(sK30) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10113,c_29941]) ).
tcf(c_30080,plain,
( ( u2_lattices(sK2) = u1_lattices(sK31) )
| ( k1_lattice2(sK31) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10114,c_29941]) ).
tcf(c_30239,plain,
( ( u2_lattices(sK18) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(sK18) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10111,c_29944]) ).
tcf(c_30240,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK18) )
| ( k1_lattice2(iPr_def_12) != sK18 ) ),
inference(superposition,[status(thm)],[c_10234,c_29944]) ).
tcf(c_30241,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK15) )
| ( k1_lattice2(iPr_def_12) != sK15 ) ),
inference(superposition,[status(thm)],[c_10237,c_29944]) ).
tcf(c_30242,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK16) )
| ( k1_lattice2(iPr_def_12) != sK16 ) ),
inference(superposition,[status(thm)],[c_10236,c_29944]) ).
tcf(c_30243,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK17) )
| ( k1_lattice2(iPr_def_12) != sK17 ) ),
inference(superposition,[status(thm)],[c_10235,c_29944]) ).
tcf(c_30244,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK27) )
| ( k1_lattice2(iPr_def_12) != sK27 ) ),
inference(superposition,[status(thm)],[c_10233,c_29944]) ).
tcf(c_30245,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK30) )
| ( k1_lattice2(iPr_def_12) != sK30 ) ),
inference(superposition,[status(thm)],[c_10232,c_29944]) ).
tcf(c_30246,plain,
( ( u2_lattices(iPr_def_12) = u1_lattices(sK31) )
| ( k1_lattice2(iPr_def_12) != sK31 ) ),
inference(superposition,[status(thm)],[c_10231,c_29944]) ).
tcf(c_30247,plain,
( ( u2_lattices(sK7) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(sK7) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10107,c_29944]) ).
tcf(c_30248,plain,
( ( u2_lattices(sK15) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(sK15) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10108,c_29944]) ).
tcf(c_30249,plain,
( ( u2_lattices(sK16) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(sK16) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10109,c_29944]) ).
tcf(c_30250,plain,
( ( u2_lattices(sK17) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(sK17) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10110,c_29944]) ).
tcf(c_30251,plain,
( ( u2_lattices(sK27) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(sK27) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10112,c_29944]) ).
tcf(c_30252,plain,
( ( u2_lattices(sK30) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(sK30) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10113,c_29944]) ).
tcf(c_30253,plain,
( ( u2_lattices(sK31) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(sK31) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_10114,c_29944]) ).
tcf(c_30319,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK9(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29915,c_58]) ).
tcf(c_30333,plain,
( ( u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = u2_lattices(iPr_def_12) )
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29907,c_29944]) ).
tcf(c_30334,plain,
( ( u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = u2_lattices(sK2) )
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29907,c_29941]) ).
tcf(c_30335,plain,
( ( u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = iPr_def_13 )
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29907,c_29938]) ).
tcf(c_30336,plain,
( ( u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = u2_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29907,c_10809]) ).
tcf(c_30337,plain,
( ( u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29907,c_10641]) ).
tcf(c_30338,plain,
( ( u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29907,c_10584]) ).
tcf(c_30339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = X2 )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29907,c_174]) ).
tcf(c_30340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = X1 )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29907,c_173]) ).
tcf(c_30341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = X0 )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29907,c_172]) ).
tcf(c_30342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = 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)
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29907,c_174]) ).
tcf(c_30343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = 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)
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29907,c_173]) ).
tcf(c_30344,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = 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)
| ( k1_lattice2(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29907,c_172]) ).
tcf(c_30555,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK11(iPr_def_17))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_11223,c_10968,c_11223]) ).
tcf(c_30556,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(iPr_def_17)) ),
inference(renaming,[status(thm)],[c_30555]) ).
tcf(c_30562,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK11(iPr_def_17))
| ~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_30556,c_58]) ).
tcf(c_30567,plain,
! [X0: $i,X1: $i] :
( ~ m1_relset_1(u1_struct_0(k1_lattice2(iPr_def_12)),X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK11(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_30556,c_24303]) ).
tcf(c_30580,plain,
~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),sK11(iPr_def_17)),
inference(superposition,[status(thm)],[c_30556,c_30562]) ).
tcf(c_30583,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK11(iPr_def_20))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_11236,c_11018,c_11236]) ).
tcf(c_30584,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK11(iPr_def_20)) ),
inference(renaming,[status(thm)],[c_30583]) ).
tcf(c_30591,plain,
( v1_xboole_0(iPr_def_13)
| r2_hidden(sK9(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(superposition,[status(thm)],[c_29723,c_273]) ).
tcf(c_30592,plain,
( r2_hidden(sK9(sK2),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_30591,c_12975]) ).
tcf(c_30599,plain,
( ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ r2_hidden(iPr_def_13,sK9(sK2)) ),
inference(superposition,[status(thm)],[c_30592,c_58]) ).
tcf(c_30641,plain,
( ( u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = u2_lattices(iPr_def_12) )
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29909,c_29944]) ).
tcf(c_30642,plain,
( ( u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = u2_lattices(sK2) )
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29909,c_29941]) ).
tcf(c_30643,plain,
( ( u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = iPr_def_13 )
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != k1_lattice2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_29909,c_29938]) ).
tcf(c_30644,plain,
( ( u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = u2_lattices(sK2) )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29909,c_10809]) ).
tcf(c_30645,plain,
( ( u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = u2_lattices(iPr_def_12) )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29909,c_10641]) ).
tcf(c_30646,plain,
( ( u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = iPr_def_13 )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_29909,c_10584]) ).
tcf(c_30647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = X2 )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29909,c_174]) ).
tcf(c_30648,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = X1 )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29909,c_173]) ).
tcf(c_30649,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = X0 )
| ~ v1_funct_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ m1_relset_1(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ~ v1_funct_2(u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),k2_zfmisc_1(u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)))),u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))))
| ( g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29909,c_172]) ).
tcf(c_30650,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = 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(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29909,c_174]) ).
tcf(c_30651,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = 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(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29909,c_173]) ).
tcf(c_30652,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(g3_lattices(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2))) = 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(iPr_def_13,u2_lattices(sK2),u2_lattices(sK2)) != g3_lattices(X0,X1,X2) ) ),
inference(superposition,[status(thm)],[c_29909,c_172]) ).
tcf(c_30808,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_27508,c_27569]) ).
tcf(c_30809,plain,
( r2_hidden(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_27466,c_27569]) ).
tcf(c_30824,plain,
! [X0: $i] :
( m1_subset_1(k7_filter_2(sK2,X0),iPr_def_13)
| ~ m1_subset_1(iPr_def_17,iPr_def_17)
| ~ m1_subset_1(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_27569,c_10059]) ).
tcf(c_30852,plain,
( ~ m1_subset_1(sK23,iPr_def_17)
| ~ r2_hidden(iPr_def_17,sK23) ),
inference(superposition,[status(thm)],[c_10472,c_27553]) ).
tcf(c_30856,plain,
( ( sK11(k1_zfmisc_1(iPr_def_17)) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_27510,c_27553]) ).
tcf(c_30857,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK23 )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_27508,c_27553]) ).
tcf(c_30858,plain,
( ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(k1_zfmisc_1(iPr_def_17)) )
| ~ m1_subset_1(sK11(sK11(k1_zfmisc_1(iPr_def_17))),iPr_def_17)
| ~ r2_hidden(iPr_def_17,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_27466,c_27553]) ).
tcf(c_30925,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK21(iPr_def_15))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_13366,c_13047,c_13366]) ).
tcf(c_30926,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_15)) ),
inference(renaming,[status(thm)],[c_30925]) ).
tcf(c_30928,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK21(iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_30926,c_27295]) ).
tcf(c_30935,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK21(iPr_def_13))
| ~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_30928,c_58]) ).
tcf(c_30936,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,sK21(iPr_def_13))
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_30928,c_10059]) ).
tcf(c_30940,plain,
! [X0: $i,X1: $i] :
( ~ m1_relset_1(u1_struct_0(k1_lattice2(iPr_def_12)),X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK21(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_30928,c_24303]) ).
tcf(c_30972,plain,
~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),sK21(iPr_def_13)),
inference(superposition,[status(thm)],[c_30928,c_30935]) ).
tcf(c_31047,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK29(sK2))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_19627,c_18802,c_19627]) ).
tcf(c_31048,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK29(sK2)) ),
inference(renaming,[status(thm)],[c_31047]) ).
tcf(c_31054,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK29(sK2))
| ~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_31048,c_58]) ).
tcf(c_31055,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,sK29(sK2))
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_31048,c_10059]) ).
tcf(c_31059,plain,
! [X0: $i,X1: $i] :
( ~ m1_relset_1(u1_struct_0(k1_lattice2(iPr_def_12)),X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK29(sK2)) ),
inference(superposition,[status(thm)],[c_31048,c_24303]) ).
tcf(c_31092,plain,
~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),sK29(sK2)),
inference(superposition,[status(thm)],[c_31048,c_31054]) ).
tcf(c_31105,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK29(iPr_def_12))
| r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_19640,c_18927,c_19640]) ).
tcf(c_31106,plain,
! [X0: $i] :
( r2_hidden(X0,u1_struct_0(k1_lattice2(iPr_def_12)))
| ~ r2_hidden(X0,sK29(iPr_def_12)) ),
inference(renaming,[status(thm)],[c_31105]) ).
tcf(c_31112,plain,
! [X0: $i] :
( ~ r2_hidden(X0,sK29(iPr_def_12))
| ~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),X0) ),
inference(superposition,[status(thm)],[c_31106,c_58]) ).
tcf(c_31113,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_13)
| ~ r2_hidden(X0,sK29(iPr_def_12))
| ~ m1_subset_1(u1_struct_0(k1_lattice2(iPr_def_12)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_31106,c_10059]) ).
tcf(c_31117,plain,
! [X0: $i,X1: $i] :
( ~ m1_relset_1(u1_struct_0(k1_lattice2(iPr_def_12)),X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),sK29(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_31106,c_24303]) ).
tcf(c_31179,plain,
( ( k7_filter_2(iPr_def_12,sK11(sK11(k1_zfmisc_1(iPr_def_17)))) = sK11(sK11(k1_zfmisc_1(iPr_def_17))) )
| ( sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(sK11(k1_zfmisc_1(iPr_def_17)))))) = sK23 ) ),
inference(superposition,[status(thm)],[c_19805,c_14356]) ).
tcf(c_31272,plain,
~ r2_hidden(u1_struct_0(k1_lattice2(iPr_def_12)),sK29(iPr_def_12)),
inference(superposition,[status(thm)],[c_31106,c_31112]) ).
tcf(c_31283,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_31272,c_31182,c_31181,c_31179,c_31178,c_31177,c_31176,c_31175,c_31174,c_31172,c_31117,c_31113,c_31112,c_31106,c_31092,c_31059,c_31055,c_31054,c_31048,c_31031,c_31030,c_31029,c_30972,c_30940,c_30936,c_30935,c_30928,c_30926,c_30858,c_30857,c_30856,c_30852,c_30824,c_30809,c_30808,c_30652,c_30651,c_30650,c_30649,c_30648,c_30647,c_30646,c_30645,c_30644,c_30643,c_30642,c_30641,c_30599,c_30592,c_30591,c_30584,c_30580,c_30567,c_30562,c_30556,c_30344,c_30343,c_30342,c_30341,c_30340,c_30339,c_30338,c_30337,c_30336,c_30335,c_30334,c_30333,c_30319,c_30253,c_30252,c_30251,c_30250,c_30249,c_30248,c_30247,c_30246,c_30245,c_30244,c_30243,c_30242,c_30241,c_30240,c_30239,c_30080,c_30079,c_30078,c_30077,c_30076,c_30075,c_30074,c_30073,c_30072,c_30071,c_30070,c_30069,c_30068,c_30067,c_30066,c_29972,c_29971,c_29970,c_29969,c_29968,c_29967,c_29966,c_29965,c_29964,c_29963,c_29962,c_29961,c_29960,c_29959,c_29958,c_29944,c_29941,c_29938,c_29935,c_29923,c_29922,c_29921,c_29918,c_29915,c_29914,c_29909,c_29908,c_29907,c_29896,c_29895,c_29884,c_29883,c_29882,c_29881,c_29880,c_29879,c_29878,c_29877,c_29876,c_29875,c_29844,c_29840,c_29839,c_29833,c_29828,c_29815,c_29755,c_29750,c_29749,c_29748,c_29747,c_29746,c_29745,c_29744,c_29742,c_29738,c_29733,c_29732,c_29731,c_29730,c_29729,c_29728,c_29723,c_29722,c_29720,c_29719,c_29718,c_29717,c_29706,c_29704,c_29703,c_29702,c_29701,c_29690,c_29687,c_29686,c_29684,c_29683,c_29681,c_29669,c_29664,c_29663,c_29662,c_29661,c_29660,c_29659,c_29658,c_29656,c_29652,c_29647,c_29646,c_29645,c_29644,c_29643,c_29642,c_29641,c_29640,c_29639,c_29638,c_29637,c_29636,c_29635,c_29622,c_29621,c_29620,c_29619,c_29618,c_29616,c_29615,c_29614,c_29613,c_29612,c_29611,c_29610,c_29592,c_29572,c_29571,c_29570,c_29569,c_29568,c_29567,c_29566,c_29565,c_29564,c_29563,c_29562,c_29542,c_29537,c_29532,c_29528,c_29524,c_29523,c_29522,c_29519,c_29517,c_29516,c_29515,c_29514,c_29513,c_29512,c_29492,c_29491,c_29490,c_29487,c_29486,c_29485,c_29484,c_29475,c_29474,c_29450,c_29449,c_29448,c_29447,c_29446,c_29445,c_29444,c_29443,c_29442,c_29440,c_29439,c_29437,c_29436,c_29435,c_29433,c_29424,c_29411,c_29363,c_29354,c_29341,c_29328,c_29318,c_29308,c_29298,c_29288,c_29278,c_29271,c_29270,c_29263,c_29262,c_29239,c_29229,c_29219,c_29209,c_29201,c_29197,c_29193,c_29189,c_29185,c_29182,c_29181,c_29174,c_29173,c_29164,c_29163,c_29151,c_29146,c_29145,c_29144,c_29143,c_29142,c_29133,c_29124,c_29123,c_29119,c_29118,c_29117,c_29115,c_29099,c_29081,c_29069,c_29064,c_29063,c_29062,c_29061,c_29060,c_29059,c_29058,c_29056,c_29053,c_29052,c_29045,c_29044,c_29037,c_29036,c_29023,c_29013,c_29008,c_29007,c_28989,c_28985,c_28981,c_28980,c_28978,c_28977,c_28976,c_28962,c_28958,c_28957,c_28955,c_28954,c_28953,c_28939,c_28935,c_28932,c_28931,c_28917,c_28913,c_28910,c_28909,c_28895,c_28884,c_28859,c_28858,c_28849,c_28848,c_28836,c_28831,c_28830,c_28829,c_28828,c_28827,c_28826,c_28825,c_28823,c_28818,c_28805,c_28804,c_28802,c_28797,c_28796,c_28771,c_28763,c_28756,c_28748,c_28732,c_28727,c_28726,c_28725,c_28724,c_28723,c_28722,c_28721,c_28719,c_28711,c_28698,c_28699,c_28691,c_28690,c_28689,c_28688,c_28687,c_28686,c_28685,c_28684,c_28683,c_28682,c_28681,c_28674,c_28671,c_28668,c_28665,c_28661,c_28660,c_28659,c_28658,c_28657,c_28656,c_28655,c_28654,c_28651,c_28648,c_28619,c_28613,c_28612,c_28607,c_28606,c_28601,c_28600,c_28595,c_28594,c_28590,c_28561,c_28556,c_28555,c_28554,c_28553,c_28552,c_28551,c_28550,c_28548,c_28536,c_28531,c_28530,c_28529,c_28528,c_28527,c_28526,c_28525,c_28523,c_28518,c_28517,c_28512,c_28511,c_28506,c_28505,c_28500,c_28499,c_28497,c_28495,c_28479,c_28474,c_28473,c_28472,c_28471,c_28470,c_28469,c_28468,c_28466,c_28454,c_28449,c_28448,c_28447,c_28446,c_28445,c_28444,c_28443,c_28441,c_28436,c_28435,c_28434,c_28433,c_28432,c_28431,c_28430,c_28429,c_28428,c_28427,c_28426,c_28425,c_28416,c_28394,c_28393,c_28392,c_28391,c_28390,c_28389,c_28388,c_28364,c_28344,c_28343,c_28342,c_28341,c_28340,c_28339,c_28338,c_28337,c_28336,c_28335,c_28334,c_28317,c_28295,c_28294,c_28293,c_28292,c_28291,c_28290,c_28289,c_28265,c_28245,c_28244,c_28243,c_28242,c_28241,c_28240,c_28239,c_28238,c_28237,c_28236,c_28235,c_28203,c_28198,c_28193,c_28189,c_28185,c_28181,c_28180,c_28179,c_28177,c_28175,c_28165,c_28162,c_28155,c_28152,c_28150,c_28147,c_28138,c_28137,c_28132,c_28131,c_28126,c_28125,c_28120,c_28119,c_28116,c_28115,c_28114,c_28113,c_28112,c_28111,c_28109,c_28107,c_28106,c_28105,c_28104,c_28103,c_28102,c_28101,c_28100,c_28099,c_28098,c_28097,c_28095,c_28094,c_28093,c_28088,c_28087,c_28086,c_28084,c_28083,c_28082,c_28081,c_28080,c_28079,c_28068,c_28047,c_28046,c_28045,c_28044,c_28043,c_28042,c_28041,c_28040,c_28039,c_28038,c_28037,c_28036,c_28035,c_28018,c_27998,c_27997,c_27996,c_27995,c_27994,c_27993,c_27992,c_27991,c_27974,c_27954,c_27953,c_27952,c_27951,c_27950,c_27949,c_27948,c_27947,c_27932,c_27930,c_27818,c_27813,c_27797,c_27648,c_27582,c_27581,c_27580,c_27579,c_27576,c_27575,c_27574,c_27573,c_27569,c_27553,c_27544,c_27540,c_27532,c_27514,c_27511,c_27510,c_27509,c_27508,c_27507,c_27505,c_27504,c_27502,c_27501,c_27500,c_27649,c_27647,c_27646,c_27496,c_27495,c_27485,c_27493,c_27492,c_27488,c_27480,c_27478,c_27477,c_27476,c_27475,c_27474,c_27473,c_27472,c_27471,c_27468,c_27467,c_27466,c_27464,c_27463,c_27462,c_27458,c_27457,c_27454,c_27453,c_27452,c_27451,c_27450,c_27449,c_27447,c_27446,c_27445,c_27444,c_27443,c_27442,c_27441,c_27440,c_27439,c_27438,c_27437,c_27436,c_27434,c_27432,c_27431,c_27430,c_27429,c_27428,c_27427,c_27426,c_27425,c_27424,c_27423,c_27422,c_27420,c_27419,c_27411,c_27410,c_27409,c_27405,c_27404,c_27402,c_27401,c_27399,c_27398,c_27397,c_27395,c_27394,c_27393,c_27392,c_27382,c_27359,c_27358,c_27357,c_27352,c_27351,c_27384,c_27345,c_27383,c_27341,c_27379,c_27329,c_27316,c_27315,c_27314,c_27312,c_27311,c_27310,c_27309,c_27308,c_27307,c_27306,c_27305,c_27304,c_27303,c_27302,c_27301,c_27297,c_27296,c_27295,c_27294,c_27285,c_27284,c_27276,c_27267,c_27266,c_27253,c_27252,c_27054,c_27053,c_27052,c_27051,c_27050,c_27049,c_27048,c_27047,c_27046,c_27045,c_27044,c_27043,c_27042,c_27041,c_27040,c_27039,c_27038,c_27037,c_27036,c_27035,c_27017,c_27016,c_27015,c_27006,c_26978,c_26974,c_26973,c_26972,c_26966,c_26923,c_26924,c_26915,c_26914,c_26913,c_26912,c_26911,c_26910,c_26909,c_26908,c_26907,c_26906,c_26905,c_26904,c_26903,c_26902,c_26901,c_26900,c_26899,c_26898,c_26881,c_26878,c_26875,c_26874,c_26873,c_26860,c_26852,c_26851,c_26748,c_26747,c_26729,c_26726,c_26723,c_26722,c_26721,c_26708,c_26698,c_26697,c_26682,c_26679,c_26676,c_26675,c_26674,c_26661,c_26646,c_26645,c_26633,c_26630,c_26627,c_26626,c_26625,c_26612,c_26605,c_26542,c_26538,c_26537,c_26536,c_26530,c_26525,c_26482,c_26478,c_26477,c_26476,c_26470,c_26424,c_26409,c_26408,c_26407,c_26375,c_26360,c_26359,c_26358,c_26349,c_26344,c_26334,c_26319,c_26318,c_26317,c_26314,c_26304,c_26291,c_26290,c_26289,c_26279,c_26264,c_26263,c_26262,c_26259,c_26249,c_26236,c_26235,c_26234,c_26233,c_26232,c_26231,c_26230,c_26191,c_26190,c_26189,c_26188,c_26154,c_26153,c_26152,c_26151,c_26150,c_26149,c_26148,c_26091,c_26090,c_26089,c_26088,c_26087,c_26086,c_26046,c_26045,c_26044,c_26043,c_26042,c_26041,c_26018,c_26017,c_26016,c_26015,c_26014,c_26013,c_26012,c_25883,c_25882,c_25881,c_25880,c_25879,c_25878,c_25848,c_25847,c_25846,c_25763,c_25762,c_25761,c_25760,c_25759,c_25758,c_25757,c_25756,c_25698,c_25697,c_25696,c_25695,c_25694,c_25692,c_25693,c_25635,c_25634,c_25633,c_25632,c_25631,c_25630,c_25589,c_25583,c_25582,c_25581,c_25580,c_25563,c_25562,c_25561,c_25556,c_25554,c_25550,c_25549,c_25548,c_25501,c_25494,c_25493,c_25492,c_25491,c_25490,c_25489,c_25488,c_25487,c_25486,c_25485,c_25484,c_25483,c_25482,c_25481,c_25480,c_25479,c_25478,c_25277,c_25276,c_25275,c_25274,c_25273,c_25272,c_25271,c_25208,c_25207,c_25206,c_25205,c_25204,c_25068,c_25065,c_25063,c_25062,c_25059,c_25058,c_25057,c_25056,c_24985,c_24982,c_24980,c_24979,c_24977,c_24976,c_24975,c_24974,c_24973,c_24936,c_24935,c_24934,c_24933,c_24931,c_24930,c_24929,c_24919,c_24910,c_24782,c_24779,c_24778,c_24777,c_24776,c_24775,c_24771,c_24770,c_24694,c_24691,c_24690,c_24689,c_24688,c_24687,c_24661,c_24660,c_24659,c_24658,c_24657,c_24383,c_24381,c_24380,c_24379,c_24378,c_24377,c_24376,c_24375,c_24374,c_24373,c_24372,c_24371,c_24370,c_24369,c_24368,c_24367,c_24366,c_24365,c_24364,c_24363,c_24362,c_24361,c_24360,c_24359,c_24358,c_24357,c_24356,c_24355,c_24354,c_24353,c_24352,c_24351,c_24350,c_24349,c_24348,c_24347,c_24344,c_24343,c_24342,c_24341,c_24340,c_24339,c_24338,c_24332,c_24326,c_24325,c_24308,c_24306,c_24305,c_24304,c_24303,c_24197,c_24196,c_24195,c_24194,c_24193,c_24192,c_24191,c_24198,c_24187,c_24186,c_24185,c_24147,c_24146,c_24145,c_24144,c_24142,c_24081,c_24080,c_24079,c_24078,c_24077,c_24053,c_24052,c_24051,c_23990,c_23989,c_23988,c_23987,c_23986,c_23985,c_23984,c_23973,c_23972,c_23959,c_23958,c_23948,c_23941,c_23940,c_23939,c_23844,c_23843,c_23842,c_23841,c_23840,c_23839,c_23786,c_23785,c_23784,c_23783,c_23782,c_23781,c_23780,c_23779,c_23769,c_23760,c_23631,c_23630,c_23629,c_23628,c_23627,c_23626,c_23625,c_23632,c_23622,c_23621,c_23620,c_23619,c_23567,c_23566,c_23565,c_23564,c_23563,c_23561,c_23508,c_23507,c_23506,c_23505,c_23504,c_23503,c_23481,c_23441,c_23440,c_23439,c_23438,c_23437,c_23436,c_23435,c_23434,c_23355,c_23354,c_23353,c_23352,c_23351,c_23350,c_23349,c_23348,c_23312,c_23311,c_23310,c_23309,c_23308,c_23307,c_23306,c_23305,c_23262,c_23261,c_23260,c_23259,c_23258,c_23257,c_23256,c_23255,c_23247,c_23189,c_23164,c_23162,c_23160,c_23159,c_23158,c_23156,c_23155,c_23154,c_23131,c_23130,c_23126,c_23124,c_23103,c_23082,c_23075,c_23074,c_23056,c_23054,c_23015,c_23006,c_23005,c_23004,c_23003,c_23002,c_22999,c_22998,c_22967,c_22961,c_22960,c_22959,c_22913,c_22912,c_22911,c_22910,c_22909,c_22908,c_22907,c_22906,c_22899,c_22898,c_22888,c_22887,c_22886,c_22881,c_22829,c_22828,c_22820,c_22792,c_22791,c_22753,c_22752,c_22741,c_22740,c_22739,c_22738,c_22737,c_22726,c_22725,c_22724,c_22714,c_22695,c_22679,c_22677,c_22675,c_22673,c_22672,c_22671,c_22653,c_22652,c_22650,c_22649,c_24793,c_25555,c_22560,c_22559,c_22558,c_22557,c_22556,c_22555,c_22554,c_22553,c_22552,c_22551,c_22550,c_22549,c_22548,c_22547,c_22546,c_22545,c_22520,c_22519,c_22518,c_22503,c_22456,c_22454,c_22453,c_22452,c_22451,c_22450,c_22449,c_22448,c_22447,c_22446,c_22445,c_22444,c_22443,c_22442,c_22441,c_22411,c_22410,c_22409,c_22408,c_22407,c_22406,c_22369,c_22368,c_22349,c_22329,c_22328,c_22317,c_22280,c_22279,c_22278,c_22277,c_22276,c_22275,c_22267,c_22244,c_22243,c_22241,c_22239,c_22238,c_22237,c_22210,c_22209,c_22190,c_22189,c_22175,c_22161,c_22129,c_22101,c_22092,c_22091,c_22090,c_22089,c_22088,c_22053,c_22052,c_22044,c_22037,c_22027,c_22026,c_22024,c_21982,c_21971,c_21970,c_21969,c_21968,c_21967,c_21954,c_21953,c_21952,c_21951,c_21941,c_21940,c_21927,c_21925,c_21892,c_21889,c_21888,c_21871,c_21865,c_21864,c_21863,c_21862,c_21816,c_21807,c_21806,c_21805,c_21804,c_21803,c_21783,c_21780,c_21779,c_21778,c_21731,c_21730,c_21728,c_21704,c_21697,c_21696,c_21695,c_21694,c_21693,c_21686,c_21679,c_21678,c_21676,c_21661,c_21660,c_21659,c_21658,c_21617,c_21616,c_21605,c_21571,c_21564,c_21563,c_21562,c_21561,c_21560,c_21471,c_21470,c_21469,c_21468,c_21467,c_21465,c_21464,c_21463,c_21462,c_21461,c_21445,c_21444,c_21442,c_21412,c_21401,c_21400,c_21399,c_21398,c_21397,c_21384,c_21383,c_21382,c_21381,c_21371,c_21370,c_21360,c_21356,c_21353,c_21352,c_21288,c_21277,c_21254,c_21245,c_21244,c_21243,c_21242,c_21241,c_21232,c_21231,c_21203,c_21197,c_21196,c_21195,c_21181,c_21180,c_21179,c_21174,c_21152,c_21151,c_21149,c_21130,c_21119,c_21059,c_21058,c_21043,c_21041,c_21029,c_21027,c_21004,c_20995,c_20994,c_20993,c_20992,c_20991,c_20958,c_20952,c_20951,c_20950,c_20943,c_20942,c_20919,c_20918,c_20908,c_20907,c_20906,c_20899,c_20898,c_20870,c_20869,c_20868,c_20857,c_20856,c_20854,c_20830,c_20828,c_20790,c_20779,c_20778,c_20777,c_20776,c_20775,c_20754,c_20753,c_20745,c_20725,c_20724,c_20719,c_20718,c_20646,c_20641,c_20640,c_20639,c_20638,c_20637,c_20635,c_20634,c_20633,c_20614,c_20613,c_20612,c_20611,c_20578,c_20577,c_20576,c_20575,c_20573,c_20565,c_20544,c_20543,c_20542,c_20541,c_20540,c_20521,c_20520,c_20518,c_20517,c_20512,c_20511,c_20498,c_20496,c_20483,c_20482,c_20481,c_20474,c_20455,c_20448,c_20447,c_20446,c_20445,c_20444,c_20437,c_20430,c_20429,c_20427,c_20422,c_20421,c_20415,c_20408,c_20406,c_20405,c_20404,c_20400,c_20367,c_20366,c_20365,c_20364,c_20363,c_20257,c_20250,c_20249,c_20248,c_20246,c_20245,c_20244,c_20243,c_20241,c_20240,c_20236,c_20235,c_20234,c_20191,c_20186,c_20185,c_20182,c_20179,c_20178,c_20177,c_20174,c_20173,c_20172,c_20171,c_20170,c_20169,c_20168,c_20167,c_20160,c_20118,c_20117,c_20115,c_20114,c_20113,c_20112,c_20111,c_20110,c_20096,c_20095,c_20094,c_20083,c_20075,c_20065,c_20063,c_20062,c_20061,c_20052,c_20051,c_20050,c_20043,c_20036,c_20028,c_20018,c_20016,c_20015,c_20014,c_19973,c_19972,c_19971,c_19970,c_19919,c_19915,c_19912,c_19911,c_19900,c_19896,c_19893,c_19892,c_19874,c_19873,c_19872,c_19871,c_19808,c_19807,c_19806,c_19805,c_19804,c_19803,c_19802,c_19801,c_19800,c_19799,c_19798,c_19797,c_19796,c_19778,c_19768,c_19758,c_19740,c_19736,c_19733,c_19732,c_19675,c_19669,c_19668,c_19667,c_19666,c_19651,c_19650,c_19649,c_19640,c_19627,c_19614,c_19611,c_19610,c_19609,c_19579,c_19543,c_19535,c_19524,c_19513,c_19506,c_19505,c_19498,c_19497,c_19485,c_19483,c_19473,c_19467,c_19466,c_19465,c_19455,c_19449,c_19448,c_19447,c_19437,c_19436,c_19435,c_19405,c_19404,c_19394,c_19393,c_19392,c_19380,c_19372,c_19361,c_19360,c_19349,c_19337,c_19335,c_19320,c_19318,c_19317,c_19305,c_19303,c_19291,c_19289,c_19282,c_19281,c_19249,c_19247,c_19209,c_19208,c_19201,c_19200,c_19192,c_19191,c_19184,c_19183,c_19167,c_19159,c_19143,c_19142,c_19128,c_19127,c_19116,c_19105,c_19094,c_19059,c_19057,c_19056,c_19046,c_19040,c_19039,c_19038,c_19028,c_19027,c_19026,c_19018,c_19008,c_18987,c_18986,c_18985,c_18978,c_18977,c_18976,c_18971,c_18970,c_18933,c_18928,c_18927,c_18926,c_18925,c_18924,c_18882,c_18881,c_18879,c_18873,c_18872,c_18863,c_18862,c_18854,c_18853,c_18838,c_18837,c_18808,c_18803,c_18802,c_18801,c_18800,c_18799,c_18779,c_18773,c_18772,c_18770,c_18767,c_18766,c_18759,c_18758,c_18730,c_18729,c_18727,c_18716,c_18715,c_18714,c_18713,c_18712,c_18710,c_18709,c_18708,c_18701,c_18700,c_18699,c_18684,c_18683,c_18682,c_18681,c_18680,c_18679,c_18678,c_18677,c_18676,c_18675,c_18647,c_18638,c_18637,c_18636,c_18635,c_18634,c_18633,c_18632,c_18631,c_18630,c_18629,c_18628,c_18402,c_18401,c_18400,c_18399,c_18398,c_18397,c_18396,c_18395,c_18394,c_18393,c_18392,c_18391,c_18390,c_18389,c_18388,c_18387,c_18386,c_18385,c_18274,c_18270,c_18266,c_18262,c_18258,c_18254,c_18250,c_18247,c_18214,c_18211,c_18208,c_18205,c_18202,c_18151,c_18150,c_18149,c_18148,c_18147,c_18146,c_18145,c_18144,c_18141,c_18140,c_18139,c_18138,c_18137,c_18136,c_18135,c_18134,c_18133,c_18132,c_18131,c_18130,c_18129,c_18128,c_18127,c_18126,c_18125,c_18124,c_18123,c_18122,c_18121,c_18120,c_18119,c_18118,c_18117,c_18116,c_18115,c_18114,c_18113,c_18112,c_18111,c_18110,c_18109,c_18108,c_18107,c_18106,c_18105,c_18104,c_18103,c_18102,c_18101,c_18091,c_18088,c_18077,c_18064,c_18063,c_18062,c_18052,c_18051,c_18050,c_17796,c_17795,c_17794,c_17793,c_17792,c_17791,c_17790,c_17789,c_17788,c_17787,c_17786,c_17785,c_17784,c_17783,c_17782,c_17781,c_17780,c_17779,c_17637,c_17636,c_17635,c_17634,c_17633,c_17632,c_17631,c_17630,c_17629,c_17628,c_17627,c_17626,c_17625,c_17624,c_17447,c_17446,c_17445,c_17444,c_17443,c_17442,c_17441,c_17440,c_17439,c_17438,c_17437,c_17436,c_17435,c_17410,c_17406,c_17403,c_17401,c_17386,c_17385,c_17369,c_17363,c_17362,c_17361,c_17360,c_17333,c_17330,c_17329,c_17328,c_17327,c_17313,c_17310,c_17132,c_17131,c_17130,c_17129,c_17128,c_17127,c_17126,c_17125,c_17124,c_17123,c_17122,c_17121,c_17120,c_17119,c_17118,c_17117,c_16992,c_16991,c_16990,c_16989,c_16988,c_16987,c_16986,c_16985,c_16984,c_16983,c_16982,c_16981,c_16980,c_16850,c_16849,c_16848,c_16847,c_16846,c_16845,c_16844,c_16843,c_16842,c_16841,c_16840,c_16839,c_16672,c_16671,c_16670,c_16669,c_16668,c_16667,c_16666,c_16665,c_16664,c_16663,c_16662,c_16661,c_16524,c_16520,c_16519,c_16518,c_16517,c_16516,c_16515,c_16514,c_16513,c_16512,c_16511,c_16510,c_16509,c_16352,c_16351,c_16350,c_16349,c_16348,c_16347,c_16346,c_16345,c_16344,c_16343,c_16342,c_16341,c_16340,c_16339,c_16312,c_16160,c_16159,c_16156,c_16155,c_16154,c_16153,c_16152,c_16151,c_16150,c_16149,c_16148,c_16147,c_16146,c_16145,c_15941,c_15940,c_15939,c_15938,c_15937,c_15936,c_15935,c_15934,c_15933,c_15932,c_15795,c_15794,c_15793,c_15792,c_15791,c_15790,c_15789,c_15788,c_15787,c_15786,c_15620,c_15619,c_15618,c_15617,c_15616,c_15615,c_15614,c_15613,c_15612,c_15611,c_15464,c_15463,c_15462,c_15461,c_15460,c_15459,c_15458,c_15457,c_15456,c_15455,c_15351,c_15350,c_15349,c_15348,c_15347,c_15346,c_15345,c_15344,c_15343,c_15342,c_15229,c_15228,c_15227,c_15226,c_15225,c_15224,c_15223,c_15222,c_15221,c_15220,c_15130,c_15129,c_15128,c_15127,c_15126,c_15125,c_15124,c_15123,c_15122,c_15121,c_14998,c_14997,c_14996,c_14995,c_14994,c_14993,c_14992,c_14991,c_14990,c_14989,c_14920,c_14919,c_14918,c_14917,c_14916,c_14915,c_14880,c_14798,c_14797,c_14795,c_14794,c_14793,c_14792,c_14791,c_14695,c_14693,c_14692,c_14691,c_14690,c_14661,c_14640,c_14639,c_14638,c_14637,c_14625,c_14624,c_14623,c_14589,c_14584,c_14583,c_14582,c_14581,c_14580,c_14578,c_14577,c_14573,c_14572,c_14571,c_14559,c_14554,c_14553,c_14552,c_14551,c_14550,c_14543,c_14537,c_14536,c_14535,c_14454,c_14453,c_14452,c_14451,c_14450,c_14449,c_14448,c_14403,c_14402,c_14399,c_14398,c_14397,c_14356,c_14355,c_14340,c_14339,c_14335,c_14334,c_14333,c_14316,c_14311,c_14310,c_14309,c_14308,c_14307,c_14298,c_14297,c_14242,c_14241,c_14240,c_14239,c_14238,c_14237,c_14229,c_14227,c_14215,c_14214,c_14213,c_14197,c_14192,c_14191,c_14190,c_14189,c_14188,c_14187,c_14186,c_14127,c_14126,c_14125,c_14124,c_14123,c_14122,c_14098,c_14087,c_14086,c_14085,c_14084,c_14083,c_14061,c_14052,c_14051,c_14050,c_14046,c_14037,c_14036,c_14022,c_14021,c_14008,c_14007,c_14000,c_13999,c_13989,c_13988,c_13987,c_13978,c_13962,c_13956,c_13950,c_13949,c_13948,c_13947,c_13852,c_13851,c_13850,c_13849,c_13848,c_13847,c_13840,c_13835,c_13804,c_13788,c_13787,c_13786,c_13785,c_13784,c_13783,c_13761,c_13758,c_13746,c_13738,c_13725,c_13723,c_13710,c_13709,c_13699,c_13698,c_13696,c_13689,c_13679,c_13678,c_13677,c_13667,c_13652,c_13646,c_13640,c_13639,c_13638,c_13637,c_13599,c_13598,c_13597,c_13584,c_13575,c_13572,c_13571,c_13570,c_13566,c_13557,c_13556,c_13543,c_13538,c_13513,c_13506,c_13505,c_13504,c_13503,c_13502,c_13494,c_13493,c_13471,c_13460,c_13459,c_13458,c_13457,c_13456,c_13444,c_13441,c_13423,c_13422,c_13421,c_13420,c_13411,c_13410,c_13404,c_13398,c_13379,c_13366,c_13354,c_13345,c_13332,c_13331,c_13292,c_13281,c_13280,c_13279,c_13250,c_13249,c_13248,c_13229,c_13224,c_13223,c_13222,c_13221,c_13220,c_13213,c_13204,c_13203,c_13198,c_13185,c_13183,c_13173,c_13172,c_13170,c_13154,c_13149,c_13148,c_13147,c_13146,c_13145,c_13144,c_13143,c_13141,c_13140,c_13135,c_13134,c_13133,c_13129,c_13122,c_13117,c_13116,c_13098,c_13097,c_13096,c_13095,c_13088,c_13081,c_13080,c_13072,c_13071,c_13053,c_13048,c_13047,c_13046,c_13045,c_13044,c_13041,c_13038,c_13037,c_13035,c_13033,c_13031,c_13030,c_13029,c_13028,c_13026,c_13025,c_13021,c_13019,c_13004,c_12995,c_12986,c_12985,c_12984,c_12983,c_12982,c_12981,c_12980,c_12979,c_12978,c_12977,c_12976,c_12975,c_12974,c_12973,c_12941,c_12940,c_12939,c_12922,c_12921,c_12920,c_12919,c_12918,c_12910,c_12909,c_12904,c_12903,c_12889,c_12884,c_12853,c_12842,c_12841,c_12840,c_12839,c_12838,c_12811,c_12802,c_12801,c_12800,c_12799,c_12798,c_12788,c_12787,c_12785,c_12775,c_12689,c_12677,c_12676,c_12675,c_12674,c_12673,c_12672,c_12670,c_12659,c_12649,c_12605,c_12604,c_12603,c_12602,c_12601,c_12578,c_12577,c_12576,c_12575,c_12574,c_12558,c_12557,c_12556,c_12555,c_12554,c_12550,c_12549,c_12547,c_12509,c_12502,c_12501,c_12500,c_12499,c_12498,c_12478,c_12469,c_12468,c_12467,c_12466,c_12465,c_12464,c_12458,c_12454,c_12453,c_12449,c_12448,c_12439,c_12436,c_12435,c_12434,c_12429,c_12423,c_12422,c_12421,c_12417,c_12394,c_12393,c_12380,c_12379,c_12354,c_12353,c_12343,c_12325,c_12321,c_12319,c_12318,c_12317,c_12311,c_12302,c_12300,c_12299,c_12298,c_12287,c_12282,c_12243,c_12242,c_12241,c_12240,c_12210,c_12194,c_12193,c_12192,c_12191,c_12190,c_12189,c_12159,c_12148,c_12147,c_12146,c_12145,c_12144,c_12126,c_12114,c_12103,c_12102,c_12101,c_12100,c_12099,c_12081,c_12080,c_12013,c_12009,c_12007,c_12006,c_12005,c_11984,c_11980,c_11978,c_11977,c_11976,c_11964,c_11959,c_11958,c_11957,c_11954,c_11941,c_11939,c_11938,c_11937,c_11926,c_11925,c_11923,c_11919,c_11910,c_11909,c_11896,c_11891,c_11878,c_11873,c_11872,c_11864,c_11858,c_11840,c_11839,c_11838,c_11837,c_11823,c_11822,c_11812,c_11797,c_11796,c_11785,c_11784,c_11782,c_11772,c_11770,c_11769,c_11768,c_11759,c_11758,c_11757,c_11753,c_11744,c_11743,c_11730,c_11725,c_11711,c_11710,c_11709,c_11705,c_11696,c_11695,c_11682,c_11677,c_11616,c_11609,c_11608,c_11607,c_11595,c_11594,c_11574,c_11573,c_11529,c_11526,c_11525,c_11524,c_11513,c_11512,c_11508,c_11496,c_11493,c_11479,c_11478,c_11473,c_11472,c_11467,c_11466,c_11460,c_11427,c_11426,c_11413,c_11412,c_11339,c_11338,c_11337,c_11336,c_11335,c_11334,c_11333,c_11332,c_11331,c_11330,c_11329,c_11328,c_11327,c_11326,c_11325,c_11324,c_11323,c_11300,c_11301,c_11296,c_11297,c_11290,c_11285,c_11275,c_11271,c_11270,c_11269,c_11268,c_11264,c_11260,c_11259,c_11258,c_11252,c_11236,c_11223,c_11182,c_11181,c_11122,c_11121,c_11120,c_11119,c_11118,c_11117,c_11112,c_11102,c_11077,c_11064,c_11047,c_11024,c_11019,c_11018,c_11017,c_11016,c_11015,c_11014,c_11013,c_11011,c_11001,c_11000,c_10974,c_10969,c_10968,c_10967,c_10966,c_10965,c_10964,c_10963,c_10961,c_10960,c_10948,c_10943,c_10942,c_10941,c_10940,c_10939,c_10938,c_10937,c_10935,c_10899,c_10894,c_10893,c_10892,c_10891,c_10890,c_10889,c_10888,c_10886,c_10885,c_10883,c_10864,c_10860,c_10859,c_10856,c_10854,c_10853,c_10852,c_10847,c_10809,c_10808,c_10807,c_10806,c_10774,c_10769,c_10764,c_10763,c_10762,c_10761,c_10760,c_10759,c_10758,c_10756,c_10747,c_10746,c_10734,c_10733,c_10732,c_10731,c_10726,c_10724,c_10723,c_10719,c_10718,c_10717,c_10716,c_10700,c_10699,c_10698,c_10697,c_10696,c_10695,c_10694,c_10680,c_10642,c_10641,c_10640,c_10639,c_10585,c_10584,c_10583,c_10582,c_10534,c_10533,c_10532,c_10530,c_10529,c_10526,c_10525,c_10522,c_10489,c_10488,c_10487,c_10486,c_10485,c_10484,c_10483,c_10482,c_10481,c_10480,c_10479,c_10478,c_10477,c_10476,c_10475,c_10474,c_10473,c_10472,c_10471,c_10470,c_10462,c_10461,c_10451,c_10450,c_10449,c_10402,c_10389,c_10388,c_10387,c_10384,c_10383,c_10382,c_10381,c_10380,c_10379,c_10378,c_10377,c_10376,c_10375,c_10374,c_10373,c_10343,c_10342,c_10338,c_10337,c_10331,c_10330,c_10328,c_10327,c_10326,c_10296,c_10295,c_10292,c_10291,c_10282,c_10281,c_10280,c_10279,c_10278,c_10277,c_10266,c_10265,c_10256,c_10255,c_10252,c_10230,c_10229,c_10228,c_10200,c_10199,c_10198,c_10197,c_10196,c_10195,c_10194,c_10193,c_10192,c_10191,c_10190,c_10189,c_10188,c_10187,c_10186,c_10185,c_10184,c_10183,c_10182,c_10181,c_10180,c_10179,c_10178,c_10167,c_10166,c_10165,c_10164,c_10163,c_10162,c_10161,c_10160,c_10159,c_10158,c_10157,c_10146,c_10145,c_10144,c_10143,c_10142,c_10141,c_10140,c_10139,c_10138,c_10137,c_10136,c_10135,c_10134,c_10133,c_10132,c_10131,c_10130,c_10129,c_10117,c_10116,c_10115,c_10114,c_10113,c_10112,c_10111,c_10110,c_10109,c_10108,c_10107,c_10106,c_10105,c_10087,c_10089,c_10088,c_10073,c_10072,c_10059,c_10058,c_10055,c_10047,c_10044,c_10043,c_10042,c_10041,c_10030,c_10029,c_10028,c_10027,c_10026,c_10025,c_10024,c_10023,c_10022,c_10021,c_10020,c_10019,c_10018,c_10017,c_10016,c_10015,c_10014,c_10013,c_9992,c_9991,c_9990,c_9987,c_9964,c_9963,c_9962,c_9960,c_9959,c_9941,c_9935,c_9930,c_9927,c_9924,c_9921,c_9918,c_9915,c_9901,c_9900,c_9899,c_9896,c_9895,c_9894,c_9893,c_9892,c_9891,c_9890,c_9889,c_9888,c_9887,c_9886,c_9885,c_9884,c_9883,c_9882,c_9881,c_9845,c_9842,c_9833,c_9832,c_9831,c_9819,c_9817,c_9811,c_9808,c_9807,c_9806,c_9756,c_9753,c_9748,c_9747,c_9722,c_9721,c_9720,c_9719,c_9718,c_9717,c_9716,c_9715,c_9714,c_9713,c_9699,c_9686,c_9685,c_9684,c_9683,c_9682,c_9681,c_9680,c_9677,c_9676,c_9675,c_9674,c_9673,c_9672,c_9671,c_9670,c_9669,c_9650,c_9640,c_9627,c_9617,c_9607,c_9597,c_9591,c_9585,c_9579,c_9578,c_9573,c_9572,c_9523,c_9522,c_9521,c_9520,c_9519,c_9518,c_9517,c_9516,c_9515,c_9514,c_9513,c_9504,c_9503,c_9502,c_9501,c_9500,c_9499,c_9497,c_9495,c_9494,c_9489,c_7366,c_7365,c_7363,c_7362,c_7360,c_7359,c_7358,c_7357,c_7356,c_7355,c_7354,c_7353,c_7352,c_7351,c_7350,c_7349,c_7348,c_7347,c_7346,c_7345,c_7343,c_7342,c_7340,c_7339,c_5548,c_5450,c_5408,c_5333,c_5320,c_5308,c_5301,c_5288,c_7361,c_5004,c_4989,c_4959,c_4944,c_5177,c_5161,c_5145,c_5129,c_5085,c_5071,c_5057,c_5043,c_4549,c_4534,c_4519,c_4489,c_4474,c_4459,c_7364,c_4235,c_3638,c_3630,c_3622,c_3614,c_3606,c_3598,c_3592,c_3585,c_3578,c_3569,c_3561,c_3553,c_3541,c_3529,c_3517,c_10231,c_10227,c_10232,c_10226,c_10233,c_10225,c_10234,c_10224,c_10235,c_10223,c_10236,c_10222,c_10237,c_10221,c_10220,c_10219,c_3279,c_3264,c_3106,c_3101,c_3096,c_3091,c_3085,c_3079,c_3070,c_3061,c_3052,c_3043,c_3034,c_3012,c_3007,c_2991,c_2982,c_2951,c_2946,c_2923,c_2914,c_2898,c_286,c_285,c_284,c_283,c_279,c_273,c_272,c_266,c_264,c_257,c_256,c_255,c_254,c_253,c_252,c_249,c_247,c_246,c_245,c_243,c_242,c_241,c_240,c_239,c_237,c_236,c_235,c_234,c_232,c_224,c_217,c_216,c_215,c_210,c_203,c_202,c_201,c_197,c_190,c_189,c_188,c_184,c_177,c_176,c_175,c_174,c_173,c_172,c_158,c_147,c_140,c_139,c_137,c_130,c_129,c_126,c_125,c_121,c_120,c_117,c_95,c_94,c_93,c_88,c_87,c_86,c_85,c_84,c_83,c_59,c_58,c_57,c_7367,c_7368,c_7369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT322+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n011.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Wed Sep 23 21:05:19 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.40 Running first-order theorem proving
% 0.13/5.40 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
% 0.13/5.41
% 0.13/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.41
% 0.13/5.41 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 22.48/9.23 % SZS status Started for theBenchmark.p
% 22.48/9.23 % SZS status Theorem for theBenchmark.p
% 22.48/9.23
% 22.48/9.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.48/9.23
% 22.48/9.23 % ------ iProver source info
% 22.48/9.23
% 22.48/9.23 % git: date: 2026-07-19 20:42:38 +0200
% 22.48/9.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.48/9.23 % git: non_committed_changes: false
% 22.48/9.23
% 22.48/9.23 % ------ Parsing...
% 22.48/9.23 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.48/9.23
% 22.48/9.23 % ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 26 0s sf_e pe_s pe_e %
% 22.48/9.23
% 22.48/9.23 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 22.48/9.23
% 22.48/9.23 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 22.48/9.23 % ------ Proving...
% 22.48/9.23 % ------ Problem Properties
% 22.48/9.23
% 22.48/9.23 %
% 22.48/9.23 % clauses 165
% 22.48/9.23 % conjectures 3
% 22.48/9.23 % EPR 60
% 22.48/9.23 % Horn 130
% 22.48/9.23 % unary 70
% 22.48/9.23 % binary 33
% 22.48/9.23 % lits 426
% 22.48/9.23 % lits eq 69
% 22.48/9.23 % fd_pure 0
% 22.48/9.23 % fd_pseudo 0
% 22.48/9.23 % fd_cond 1
% 22.48/9.23 % fd_pseudo_cond 4
% 22.48/9.23 % AC symbols 0
% 22.48/9.23
% 22.48/9.23 % ------ Schedule dynamic 5 is on
% 22.48/9.23
% 22.48/9.23 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.48/9.23
% 22.48/9.23
% 22.48/9.23 % ------
% 22.48/9.23 % Current options:
% 22.48/9.23 % ------
% 22.48/9.23
% 22.48/9.23
% 22.48/9.23 %
% 22.48/9.23
% 22.48/9.23 % ------ Proving...
% 22.48/9.23 %
% 22.48/9.23
% 22.48/9.23 % SZS status Theorem for theBenchmark.p
% 22.48/9.23
% 22.48/9.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.48/9.28
% 22.48/9.28
%------------------------------------------------------------------------------