%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT323+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:02:44 PM UTC 2026
% Result : Theorem 0.45s 0.88s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 568
% Syntax : Number of formulae : 1906 ( 99 unt; 509 def)
% Number of atoms : 6104 ( 122 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 6519 (2321 ~;3203 |; 404 &)
% ( 517 <=>; 73 =>; 0 <=; 1 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 547 ( 545 usr; 510 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 12 con; 0-3 aty)
% Number of variables : 327 ( 299 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( r2_filter_2(A,B)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,B)
<=> ~ r2_hidden(k7_lattices(A,C),B) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( r2_filter_2(A,B)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,B)
<=> ~ r2_hidden(k7_lattices(A,C),B) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [A] :
( l3_lattices(A)
=> ( v3_lattices(A)
=> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A] :
( v1_xboole_0(A)
=> v1_funct_1(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) )
=> ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
=> ( v10_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) )
=> ( v15_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v15_lattices(A)
& ~ v3_struct_0(A) )
=> ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v17_lattices(A)
& ~ v3_struct_0(A) )
=> ( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v16_lattices(A)
& v15_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) )
=> ( v17_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A] :
( l3_lattices(A)
=> ( ( v11_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v12_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k5_filter_2(A,B) = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
=> k7_filter_2(A,B) = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B] :
( ( m2_filter_2(B,A)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A] :
( l3_lattices(A)
=> ( l3_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A,B] :
( ( m1_subset_1(B,u1_struct_0(A))
& l3_lattices(A)
& ~ v3_struct_0(A) )
=> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A] :
( l1_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] :
( l2_lattices(A)
=> l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [A] :
( l3_lattices(A)
=> ( l2_lattices(A)
& l1_lattices(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_filter_0(B,A)
=> ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_filter_2(B,A)
=> ( m2_lattice4(B,A)
& ~ v1_xboole_0(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( m2_lattice4(B,A)
& ~ v1_xboole_0(B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_lattice4(B,A)
=> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [B] : m1_filter_0(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [B] : m1_filter_2(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [A] :
? [B] : m1_subset_1(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [B] : m2_filter_2(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [B] : m2_lattice4(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A,B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(k7_filter_2(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A] :
( ( l3_lattices(A)
& ~ v3_struct_0(A) )
=> ( v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ~ v1_xboole_0(u1_struct_0(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [A] :
( ( l2_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A))
& v1_relat_1(u2_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [A] :
( ( l2_lattices(A)
& v5_lattices(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A))
& v1_relat_1(u2_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v17_lattices(k1_lattice2(A))
& v16_lattices(k1_lattice2(A))
& v15_lattices(k1_lattice2(A))
& v14_lattices(k1_lattice2(A))
& v13_lattices(k1_lattice2(A))
& v12_lattices(k1_lattice2(A))
& v11_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [A] :
( ( l1_lattices(A)
& v6_lattices(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A))
& v1_relat_1(u1_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [A] :
( ( l1_lattices(A)
& v7_lattices(A)
& ~ v3_struct_0(A) )
=> ( v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A))
& v1_relat_1(u1_lattices(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ( v10_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_subset_1(B,u1_struct_0(A))
=> k7_lattices(k1_lattice2(A),k5_filter_2(A,B)) = k7_lattices(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
? [A] :
( v14_lattices(A)
& v13_lattices(A)
& v12_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
? [A] :
( v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
? [A] :
( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
? [A] :
( v17_lattices(A)
& v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( ~ v1_xboole_0(B)
& m2_lattice4(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
? [A] :
( v1_funct_1(A)
& v1_xboole_0(A)
& v1_relat_1(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,axiom,
? [A] :
( v3_lattices(A)
& l3_lattices(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
? [A] :
( ~ v3_struct_0(A)
& l1_struct_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [A] :
( ( l1_struct_0(A)
& ~ v3_struct_0(A) )
=> ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,axiom,
? [A] :
( v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
? [A] :
( v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& v3_lattices(A)
& ~ v3_struct_0(A)
& l3_lattices(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [A,B] :
( ( m2_filter_2(B,A)
& l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> k15_filter_2(A,B) = k7_filter_2(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [A,B] :
( m1_subset_1(A,B)
=> ( r2_hidden(A,B)
| v1_xboole_0(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,axiom,
! [A] :
( ( l3_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m2_filter_2(B,A)
=> ( r2_filter_2(A,B)
<=> v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [A,B,C] :
( ( m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) )
=> m1_subset_1(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [A] :
( ( l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( m1_filter_0(B,A)
=> ( v1_filter_0(B,A)
=> ! [C] :
( m1_subset_1(C,u1_struct_0(A))
=> ( r2_hidden(C,B)
<=> ~ r2_hidden(k7_lattices(A,C),B) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [A,B,C] :
~ ( v1_xboole_0(C)
& m1_subset_1(B,k1_zfmisc_1(C))
& r2_hidden(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,plain,
? [A] :
( ? [B] :
( ? [C] :
( ( r2_hidden(C,B)
<~> ~ r2_hidden(k7_lattices(A,C),B) )
& m1_subset_1(C,u1_struct_0(A)) )
& r2_filter_2(A,B)
& m2_filter_2(B,A) )
& l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f99,plain,
? [A] :
( ? [B] :
( ? [C] :
( ( r2_hidden(k7_lattices(A,C),B)
| ~ r2_hidden(C,B) )
& ( ~ r2_hidden(k7_lattices(A,C),B)
| r2_hidden(C,B) )
& m1_subset_1(C,u1_struct_0(A)) )
& r2_filter_2(A,B)
& m2_filter_2(B,A) )
& l3_lattices(A)
& v17_lattices(A)
& v10_lattices(A)
& ~ v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
( ( r2_hidden(k7_lattices(sK0_skl,sK2_skl),sK1_skl)
| ~ r2_hidden(sK2_skl,sK1_skl) )
& ( ~ r2_hidden(k7_lattices(sK0_skl,sK2_skl),sK1_skl)
| r2_hidden(sK2_skl,sK1_skl) )
& m1_subset_1(sK2_skl,u1_struct_0(sK0_skl))
& r2_filter_2(sK0_skl,sK1_skl)
& m2_filter_2(sK1_skl,sK0_skl)
& l3_lattices(sK0_skl)
& v17_lattices(sK0_skl)
& v10_lattices(sK0_skl)
& ~ v3_struct_0(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f99]) ).
fof(f101,plain,
~ v3_struct_0(sK0_skl),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f102,plain,
v10_lattices(sK0_skl),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f103,plain,
v17_lattices(sK0_skl),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f104,plain,
l3_lattices(sK0_skl),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f105,plain,
m2_filter_2(sK1_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f106,plain,
r2_filter_2(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f107,plain,
m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f108,plain,
( ~ r2_hidden(k7_lattices(sK0_skl,sK2_skl),sK1_skl)
| r2_hidden(sK2_skl,sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f109,plain,
( r2_hidden(k7_lattices(sK0_skl,sK2_skl),sK1_skl)
| ~ r2_hidden(sK2_skl,sK1_skl) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f110,plain,
! [A] :
( A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))
| ~ v3_lattices(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f114,plain,
! [A] :
( v1_funct_1(A)
| ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f115,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [A] :
( ( v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f118,plain,
! [X0] :
( v4_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f119,plain,
! [X0] :
( v5_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f120,plain,
! [X0] :
( v6_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f121,plain,
! [X0] :
( v7_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f122,plain,
! [X0] :
( v8_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f123,plain,
! [X0] :
( v9_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f127,plain,
! [A] :
( ( v2_funct_1(A)
& v1_funct_1(A)
& v1_relat_1(A) )
| ~ v1_funct_1(A)
| ~ v1_xboole_0(A)
| ~ v1_relat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f130,plain,
! [X0] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f131,plain,
! [A] :
( ( v10_lattices(A)
& ~ v3_struct_0(A) )
| ~ v9_lattices(A)
| ~ v8_lattices(A)
| ~ v7_lattices(A)
| ~ v6_lattices(A)
| ~ v5_lattices(A)
| ~ v4_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f133,plain,
! [X0] :
( v10_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f134,plain,
! [A] :
( ( v15_lattices(A)
& ~ v3_struct_0(A) )
| ~ v14_lattices(A)
| ~ v13_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f136,plain,
! [X0] :
( v15_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
! [A] :
( ( v14_lattices(A)
& v13_lattices(A)
& ~ v3_struct_0(A) )
| ~ v15_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f139,plain,
! [X0] :
( v13_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f140,plain,
! [X0] :
( v14_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f141,plain,
! [A] :
( ( v16_lattices(A)
& v15_lattices(A)
& v14_lattices(A)
& v13_lattices(A)
& v11_lattices(A)
& ~ v3_struct_0(A) )
| ~ v17_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f143,plain,
! [X0] :
( v11_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f144,plain,
! [X0] :
( v13_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f145,plain,
! [X0] :
( v14_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f146,plain,
! [X0] :
( v15_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f147,plain,
! [X0] :
( v16_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f148,plain,
! [A] :
( ( v17_lattices(A)
& ~ v3_struct_0(A) )
| ~ v16_lattices(A)
| ~ v15_lattices(A)
| ~ v11_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f150,plain,
! [X0] :
( v17_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f151,plain,
! [A] :
( ( v12_lattices(A)
& v10_lattices(A)
& v9_lattices(A)
& v8_lattices(A)
& v7_lattices(A)
& v6_lattices(A)
& v5_lattices(A)
& v4_lattices(A)
& ~ v3_struct_0(A) )
| ~ v11_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A)
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f160,plain,
! [X0] :
( v12_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f163,plain,
! [A] :
( ! [B] :
( k5_filter_2(A,B) = B
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f164,plain,
! [X0,X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f165,plain,
! [A] :
( ! [B] :
( k7_filter_2(A,B) = B
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f166,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f170,plain,
! [A,B] :
( m1_filter_2(k15_filter_2(A,B),k1_lattice2(A))
| ~ m2_filter_2(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f171,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
! [A] :
( ( l3_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A)) )
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f173,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f174,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f175,plain,
! [A,B] :
( m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A)))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f176,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
! [A,B] :
( m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A))))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f178,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
! [A,B] :
( m1_subset_1(k7_lattices(A,B),u1_struct_0(A))
| ~ m1_subset_1(B,u1_struct_0(A))
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f180,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f181,plain,
! [A] :
( l1_struct_0(A)
| ~ l1_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f182,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
! [A] :
( l1_struct_0(A)
| ~ l2_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f184,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,plain,
! [A] :
( ( l2_lattices(A)
& l1_lattices(A) )
| ~ l3_lattices(A) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f186,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f188,plain,
! [A] :
( ! [B] :
( ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
& ~ v1_xboole_0(B) )
| ~ m1_filter_0(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f189,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f191,plain,
! [A] :
( ! [B] :
( ( m2_lattice4(B,A)
& ~ v1_xboole_0(B) )
| ~ m1_filter_2(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f192,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f193,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f194,plain,
! [A] :
( ! [B] :
( ( m2_lattice4(B,A)
& ~ v1_xboole_0(B) )
| ~ m2_filter_2(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f195,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
! [A] :
( ! [B] :
( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ m2_lattice4(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f198,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f217,plain,
! [A] :
( ? [B] : m1_filter_0(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f218,plain,
! [A] :
( m1_filter_0(sK7_skl(A),A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(B,sK7_skl(A))],[f217]) ).
fof(f219,plain,
! [X0] :
( m1_filter_0(sK7_skl(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
! [A] :
( ? [B] : m1_filter_2(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f221,plain,
! [A] :
( m1_filter_2(sK8_skl(A),A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(B,sK8_skl(A))],[f220]) ).
fof(f222,plain,
! [X0] :
( m1_filter_2(sK8_skl(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f225,plain,
! [A] : m1_subset_1(sK10_skl(A),A),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(B,sK10_skl(A))],[f48]) ).
fof(f226,plain,
! [X0] : m1_subset_1(sK10_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f225]) ).
fof(f227,plain,
! [A] :
( ? [B] : m2_filter_2(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f228,plain,
! [A] :
( m2_filter_2(sK11_skl(A),A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(B,sK11_skl(A))],[f227]) ).
fof(f229,plain,
! [X0] :
( m2_filter_2(sK11_skl(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
! [A] :
( ? [B] : m2_lattice4(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f231,plain,
! [A] :
( m2_lattice4(sK12_skl(A),A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(B,sK12_skl(A))],[f230]) ).
fof(f232,plain,
! [X0] :
( m2_lattice4(sK12_skl(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f235,plain,
! [A,B] :
( ~ v1_xboole_0(k7_filter_2(A,B))
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| v1_xboole_0(B)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f236,plain,
! [X0,X1] :
( ~ v1_xboole_0(k7_filter_2(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) ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f237,plain,
! [A] :
( ( v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) )
| ~ l3_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f238,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f237]) ).
fof(f240,plain,
! [A] :
( ~ v1_xboole_0(u1_struct_0(A))
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f241,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f244,plain,
! [A] :
( ( v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A))
& v1_relat_1(u2_lattices(A)) )
| ~ l2_lattices(A)
| ~ v4_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f245,plain,
! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f248,plain,
! [X0] :
( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f249,plain,
! [X0] :
( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f250,plain,
! [A] :
( ( v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u2_lattices(A),u1_struct_0(A))
& v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u2_lattices(A))
& v1_relat_1(u2_lattices(A)) )
| ~ l2_lattices(A)
| ~ v5_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f254,plain,
! [X0] :
( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f259,plain,
! [A] :
( ( v17_lattices(k1_lattice2(A))
& v16_lattices(k1_lattice2(A))
& v15_lattices(k1_lattice2(A))
& v14_lattices(k1_lattice2(A))
& v13_lattices(k1_lattice2(A))
& v12_lattices(k1_lattice2(A))
& v11_lattices(k1_lattice2(A))
& v10_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) )
| ~ l3_lattices(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f60]) ).
fof(f269,plain,
! [X0] :
( v11_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f270,plain,
! [X0] :
( v12_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f271,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f272,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f273,plain,
! [X0] :
( v15_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f274,plain,
! [X0] :
( v16_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f275,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f276,plain,
! [A] :
( ( v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A))
& v1_relat_1(u1_lattices(A)) )
| ~ l1_lattices(A)
| ~ v6_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f61]) ).
fof(f277,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f280,plain,
! [X0] :
( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f281,plain,
! [X0] :
( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f284,plain,
! [A] :
( ( v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v2_binop_1(u1_lattices(A),u1_struct_0(A))
& v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
& v1_funct_1(u1_lattices(A))
& v1_relat_1(u1_lattices(A)) )
| ~ l1_lattices(A)
| ~ v7_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f63]) ).
fof(f285,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f288,plain,
! [X0] :
( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f289,plain,
! [X0] :
( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f290,plain,
! [A] :
( ( v10_lattices(k1_lattice2(A))
& v9_lattices(k1_lattice2(A))
& v8_lattices(k1_lattice2(A))
& v7_lattices(k1_lattice2(A))
& v6_lattices(k1_lattice2(A))
& v5_lattices(k1_lattice2(A))
& v4_lattices(k1_lattice2(A))
& v3_lattices(k1_lattice2(A))
& ~ v3_struct_0(k1_lattice2(A)) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f293,plain,
! [X0] :
( v4_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f294,plain,
! [X0] :
( v5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f295,plain,
! [X0] :
( v6_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f296,plain,
! [X0] :
( v7_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f297,plain,
! [X0] :
( v8_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f298,plain,
! [X0] :
( v9_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f299,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f290]) ).
fof(f304,plain,
! [A] :
( ! [B] :
( k7_lattices(k1_lattice2(A),k5_filter_2(A,B)) = k7_lattices(A,B)
| ~ m1_subset_1(B,u1_struct_0(A)) )
| ~ l3_lattices(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f66]) ).
fof(f305,plain,
! [X0,X1] :
( k7_lattices(k1_lattice2(X0),k5_filter_2(X0,X1)) = k7_lattices(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f304]) ).
fof(f306,plain,
( v14_lattices(sK14_skl)
& v13_lattices(sK14_skl)
& v12_lattices(sK14_skl)
& v11_lattices(sK14_skl)
& v10_lattices(sK14_skl)
& v9_lattices(sK14_skl)
& v8_lattices(sK14_skl)
& v7_lattices(sK14_skl)
& v6_lattices(sK14_skl)
& v5_lattices(sK14_skl)
& v4_lattices(sK14_skl)
& v3_lattices(sK14_skl)
& ~ v3_struct_0(sK14_skl)
& l3_lattices(sK14_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(A,sK14_skl)],[f67]) ).
fof(f307,plain,
l3_lattices(sK14_skl),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f308,plain,
~ v3_struct_0(sK14_skl),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f309,plain,
v3_lattices(sK14_skl),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f316,plain,
v10_lattices(sK14_skl),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f317,plain,
v11_lattices(sK14_skl),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f320,plain,
v14_lattices(sK14_skl),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f321,plain,
( v15_lattices(sK15_skl)
& v14_lattices(sK15_skl)
& v13_lattices(sK15_skl)
& v10_lattices(sK15_skl)
& v9_lattices(sK15_skl)
& v8_lattices(sK15_skl)
& v7_lattices(sK15_skl)
& v6_lattices(sK15_skl)
& v5_lattices(sK15_skl)
& v4_lattices(sK15_skl)
& v3_lattices(sK15_skl)
& ~ v3_struct_0(sK15_skl)
& l3_lattices(sK15_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(A,sK15_skl)],[f68]) ).
fof(f322,plain,
l3_lattices(sK15_skl),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f323,plain,
~ v3_struct_0(sK15_skl),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f324,plain,
v3_lattices(sK15_skl),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f331,plain,
v10_lattices(sK15_skl),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f333,plain,
v14_lattices(sK15_skl),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f334,plain,
v15_lattices(sK15_skl),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f335,plain,
( v16_lattices(sK16_skl)
& v15_lattices(sK16_skl)
& v14_lattices(sK16_skl)
& v13_lattices(sK16_skl)
& v10_lattices(sK16_skl)
& v9_lattices(sK16_skl)
& v8_lattices(sK16_skl)
& v7_lattices(sK16_skl)
& v6_lattices(sK16_skl)
& v5_lattices(sK16_skl)
& v4_lattices(sK16_skl)
& v3_lattices(sK16_skl)
& ~ v3_struct_0(sK16_skl)
& l3_lattices(sK16_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(A,sK16_skl)],[f69]) ).
fof(f336,plain,
l3_lattices(sK16_skl),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f337,plain,
~ v3_struct_0(sK16_skl),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f338,plain,
v3_lattices(sK16_skl),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f345,plain,
v10_lattices(sK16_skl),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f347,plain,
v14_lattices(sK16_skl),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f348,plain,
v15_lattices(sK16_skl),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f349,plain,
v16_lattices(sK16_skl),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f350,plain,
( v17_lattices(sK17_skl)
& v16_lattices(sK17_skl)
& v15_lattices(sK17_skl)
& v14_lattices(sK17_skl)
& v13_lattices(sK17_skl)
& v11_lattices(sK17_skl)
& v10_lattices(sK17_skl)
& v9_lattices(sK17_skl)
& v8_lattices(sK17_skl)
& v7_lattices(sK17_skl)
& v6_lattices(sK17_skl)
& v5_lattices(sK17_skl)
& v4_lattices(sK17_skl)
& v3_lattices(sK17_skl)
& ~ v3_struct_0(sK17_skl)
& l3_lattices(sK17_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(A,sK17_skl)],[f70]) ).
fof(f351,plain,
l3_lattices(sK17_skl),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f352,plain,
~ v3_struct_0(sK17_skl),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f353,plain,
v3_lattices(sK17_skl),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f360,plain,
v10_lattices(sK17_skl),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f361,plain,
v11_lattices(sK17_skl),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f366,plain,
v17_lattices(sK17_skl),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f370,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m2_lattice4(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f72]) ).
fof(f371,plain,
! [A] :
( ( ~ v1_xboole_0(sK19_skl(A))
& m2_lattice4(sK19_skl(A),A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl]),skolemize(B,sK19_skl(A))],[f370]) ).
fof(f372,plain,
! [X0] :
( m2_lattice4(sK19_skl(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
! [X0] :
( ~ v1_xboole_0(sK19_skl(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f380,plain,
( v1_funct_1(sK22_skl)
& v1_xboole_0(sK22_skl)
& v1_relat_1(sK22_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl]),skolemize(A,sK22_skl)],[f75]) ).
fof(f381,plain,
v1_relat_1(sK22_skl),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f382,plain,
v1_xboole_0(sK22_skl),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f393,plain,
( v3_lattices(sK26_skl)
& l3_lattices(sK26_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(A,sK26_skl)],[f79]) ).
fof(f394,plain,
l3_lattices(sK26_skl),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f395,plain,
v3_lattices(sK26_skl),
inference(cnf_transformation,[status(thm)],[f393]) ).
fof(f396,plain,
( ~ v3_struct_0(sK27_skl)
& l1_struct_0(sK27_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl]),skolemize(A,sK27_skl)],[f80]) ).
fof(f397,plain,
l1_struct_0(sK27_skl),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f398,plain,
~ v3_struct_0(sK27_skl),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f399,plain,
! [A] :
( ? [B] :
( ~ v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f81]) ).
fof(f400,plain,
! [A] :
( ( ~ v1_xboole_0(sK28_skl(A))
& m1_subset_1(sK28_skl(A),k1_zfmisc_1(u1_struct_0(A))) )
| ~ l1_struct_0(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28_skl]),skolemize(B,sK28_skl(A))],[f399]) ).
fof(f401,plain,
! [X0] :
( m1_subset_1(sK28_skl(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f403,plain,
( v3_lattices(sK29_skl)
& ~ v3_struct_0(sK29_skl)
& l3_lattices(sK29_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl]),skolemize(A,sK29_skl)],[f82]) ).
fof(f404,plain,
l3_lattices(sK29_skl),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f405,plain,
~ v3_struct_0(sK29_skl),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f406,plain,
v3_lattices(sK29_skl),
inference(cnf_transformation,[status(thm)],[f403]) ).
fof(f407,plain,
( v10_lattices(sK30_skl)
& v9_lattices(sK30_skl)
& v8_lattices(sK30_skl)
& v7_lattices(sK30_skl)
& v6_lattices(sK30_skl)
& v5_lattices(sK30_skl)
& v4_lattices(sK30_skl)
& v3_lattices(sK30_skl)
& ~ v3_struct_0(sK30_skl)
& l3_lattices(sK30_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl]),skolemize(A,sK30_skl)],[f83]) ).
fof(f408,plain,
l3_lattices(sK30_skl),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f409,plain,
~ v3_struct_0(sK30_skl),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f410,plain,
v3_lattices(sK30_skl),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f417,plain,
v10_lattices(sK30_skl),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f418,plain,
! [A,B] :
( k15_filter_2(A,B) = k7_filter_2(A,B)
| ~ m2_filter_2(B,A)
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f84]) ).
fof(f419,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f420,plain,
! [A] :
( ! [B] :
( m1_filter_2(B,A)
<=> m1_filter_0(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f85]) ).
fof(f421,plain,
! [A] :
( ! [B] :
( ( ~ m1_filter_0(B,A)
| m1_filter_2(B,A) )
& ( m1_filter_0(B,A)
| ~ m1_filter_2(B,A) ) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f420]) ).
fof(f422,plain,
! [A] :
( ( ! [B] :
( ~ m1_filter_0(B,A)
| m1_filter_2(B,A) )
& ! [B] :
( m1_filter_0(B,A)
| ~ m1_filter_2(B,A) ) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(miniscoping,[status(thm)],[f421]) ).
fof(f423,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f433,plain,
! [A,B] :
( r2_hidden(A,B)
| v1_xboole_0(B)
| ~ m1_subset_1(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f89]) ).
fof(f434,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f433]) ).
fof(f435,plain,
! [A] :
( ! [B] :
( ( r2_filter_2(A,B)
<=> v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) )
| ~ m2_filter_2(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f90]) ).
fof(f436,plain,
! [A] :
( ! [B] :
( ( ( ~ v1_filter_0(k15_filter_2(A,B),k1_lattice2(A))
| r2_filter_2(A,B) )
& ( v1_filter_0(k15_filter_2(A,B),k1_lattice2(A))
| ~ r2_filter_2(A,B) ) )
| ~ m2_filter_2(B,A) )
| ~ l3_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f435]) ).
fof(f437,plain,
! [X0,X1] :
( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f438,plain,
! [X0,X1] :
( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f443,plain,
! [A,B,C] :
( m1_subset_1(A,C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f92]) ).
fof(f444,plain,
! [A,C] :
( m1_subset_1(A,C)
| ! [B] :
( ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ) ),
inference(miniscoping,[status(thm)],[f443]) ).
fof(f445,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f444]) ).
fof(f446,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( r2_hidden(C,B)
<=> ~ r2_hidden(k7_lattices(A,C),B) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v1_filter_0(B,A)
| ~ m1_filter_0(B,A) )
| ~ l3_lattices(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f93]) ).
fof(f447,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( r2_hidden(k7_lattices(A,C),B)
| r2_hidden(C,B) )
& ( ~ r2_hidden(k7_lattices(A,C),B)
| ~ r2_hidden(C,B) ) )
| ~ m1_subset_1(C,u1_struct_0(A)) )
| ~ v1_filter_0(B,A)
| ~ m1_filter_0(B,A) )
| ~ l3_lattices(A)
| ~ v17_lattices(A)
| ~ v10_lattices(A)
| v3_struct_0(A) ),
inference(NNF_transformation,[status(thm)],[f446]) ).
fof(f448,plain,
! [X0,X1,X2] :
( ~ r2_hidden(k7_lattices(X0,X2),X1)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f449,plain,
! [X0,X1,X2] :
( r2_hidden(k7_lattices(X0,X2),X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f450,plain,
! [A,B,C] :
( ~ v1_xboole_0(C)
| ~ m1_subset_1(B,k1_zfmisc_1(C))
| ~ r2_hidden(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f94]) ).
fof(f451,plain,
! [C] :
( ~ v1_xboole_0(C)
| ! [B] :
( ~ m1_subset_1(B,k1_zfmisc_1(C))
| ! [A] : ~ r2_hidden(A,B) ) ),
inference(miniscoping,[status(thm)],[f450]) ).
fof(f452,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f451]) ).
fof(f461,definition,
( sQ0_spl
<=> r2_hidden(sK2_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f464,definition,
( sQ1_spl
<=> r2_hidden(k7_lattices(sK0_skl,sK2_skl),sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ1_spl
| r2_hidden(k7_lattices(sK0_skl,sK2_skl),sK1_skl) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( sQ1_spl
| ~ r2_hidden(k7_lattices(sK0_skl,sK2_skl),sK1_skl) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f108,f461,f464]) ).
fof(f468,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f109,f461,f464]) ).
fof(f469,plain,
! [X0] :
( v2_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f115]) ).
fof(f470,plain,
( m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl))
| ~ l3_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f180,f107]) ).
fof(f471,definition,
( sQ2_spl
<=> v3_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ2_spl
| v3_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ3_spl
<=> l3_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( sQ3_spl
| ~ l3_lattices(sK0_skl) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ4_spl
<=> m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ4_spl
| m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( sQ4_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f470,f471,f474,f477]) ).
fof(f481,plain,
( v4_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f118,f104]) ).
fof(f482,definition,
( sQ5_spl
<=> v10_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ5_spl
| ~ v10_lattices(sK0_skl) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ6_spl
<=> v4_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( sQ6_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f481,f471,f482,f485]) ).
fof(f489,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f101]) ).
fof(f490,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f104]) ).
fof(f492,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f491]) ).
fof(f493,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f102]) ).
fof(f494,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( v5_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f119,f104]) ).
fof(f496,definition,
( sQ7_spl
<=> v5_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( sQ7_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f495,f471,f482,f496]) ).
fof(f500,plain,
( v6_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f120,f104]) ).
fof(f501,definition,
( sQ8_spl
<=> v6_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ8_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f500,f471,f482,f501]) ).
fof(f505,plain,
( v7_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f121,f104]) ).
fof(f506,definition,
( sQ9_spl
<=> v7_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( sQ9_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f505,f471,f482,f506]) ).
fof(f512,plain,
( ~ v1_xboole_0(sK1_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f195,f105]) ).
fof(f513,definition,
( sQ10_spl
<=> v1_xboole_0(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f512,f471,f482,f474,f513]) ).
fof(f517,plain,
( v17_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f275,f104]) ).
fof(f518,definition,
( sQ11_spl
<=> v17_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( sQ11_spl
| ~ v17_lattices(sK0_skl) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ12_spl
<=> v17_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( sQ12_spl
| ~ sQ11_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f517,f471,f482,f518,f521]) ).
fof(f525,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f103]) ).
fof(f526,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f529,plain,
( r2_hidden(sK2_skl,u1_struct_0(sK0_skl))
| v1_xboole_0(u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f434,f107]) ).
fof(f530,definition,
( sQ13_spl
<=> v1_xboole_0(u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f533,definition,
( sQ14_spl
<=> r2_hidden(sK2_skl,u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f529,f530,f533]) ).
fof(f572,plain,
( v17_lattices(k1_lattice2(sK14_skl))
| ~ v17_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f307,f275]) ).
fof(f573,plain,
( v7_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f307,f121]) ).
fof(f574,plain,
( v6_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f307,f120]) ).
fof(f575,plain,
( v5_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f307,f119]) ).
fof(f576,plain,
( v4_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f307,f118]) ).
fof(f577,definition,
( sQ23_spl
<=> v3_struct_0(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ23_spl
| v3_struct_0(sK14_skl) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,definition,
( sQ24_spl
<=> v10_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( sQ24_spl
| ~ v10_lattices(sK14_skl) ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ25_spl
<=> v17_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f586,definition,
( sQ26_spl
<=> v17_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f572,f577,f580,f583,f586]) ).
fof(f590,definition,
( sQ27_spl
<=> v7_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( sQ27_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f573,f577,f580,f590]) ).
fof(f594,definition,
( sQ28_spl
<=> v6_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( sQ28_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f574,f577,f580,f594]) ).
fof(f598,definition,
( sQ29_spl
<=> v5_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( sQ29_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f575,f577,f580,f598]) ).
fof(f602,definition,
( sQ30_spl
<=> v4_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( sQ30_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f576,f577,f580,f602]) ).
fof(f606,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f582,f316]) ).
fof(f607,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f606]) ).
fof(f608,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f308]) ).
fof(f609,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( v8_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f122,f307]) ).
fof(f612,plain,
( v8_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f122,f104]) ).
fof(f613,definition,
( sQ31_spl
<=> v8_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( sQ31_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f610,f577,f580,f613]) ).
fof(f621,definition,
( sQ33_spl
<=> v8_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( sQ33_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f612,f471,f482,f621]) ).
fof(f625,plain,
( v9_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f123,f307]) ).
fof(f627,plain,
( v9_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f123,f104]) ).
fof(f628,definition,
( sQ34_spl
<=> v9_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( sQ34_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f625,f577,f580,f628]) ).
fof(f636,definition,
( sQ36_spl
<=> v9_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( sQ36_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f627,f471,f482,f636]) ).
fof(f640,plain,
( ~ sQ4_spl
| m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(sK0_skl))
| ~ l3_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f478,f180]) ).
fof(f641,plain,
( ~ sQ4_spl
| r2_hidden(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl))
| v1_xboole_0(u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f478,f434]) ).
fof(f642,definition,
( sQ37_spl
<=> m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ37_spl
| m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( ~ sQ4_spl
| sQ37_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f640,f471,f474,f642,f477]) ).
fof(f646,definition,
( sQ38_spl
<=> r2_hidden(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ4_spl
| sQ38_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f641,f530,f646,f477]) ).
fof(f650,plain,
( v1_filter_0(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl))
| ~ m2_filter_2(sK1_skl,sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f437,f106]) ).
fof(f651,definition,
( sQ39_spl
<=> m2_filter_2(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( sQ39_spl
| ~ m2_filter_2(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ40_spl
<=> v1_filter_0(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ40_spl
| v1_filter_0(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( sQ40_spl
| ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f650,f471,f482,f474,f651,f654]) ).
fof(f658,plain,
( sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f653,f105]) ).
fof(f659,plain,
sQ39_spl,
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f664,plain,
( sK14_skl = g3_lattices(u1_struct_0(sK14_skl),u2_lattices(sK14_skl),u1_lattices(sK14_skl))
| ~ l3_lattices(sK14_skl) ),
inference(resolution,[status(thm)],[f309,f111]) ).
fof(f665,definition,
( sQ41_spl
<=> l3_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( sQ41_spl
| ~ l3_lattices(sK14_skl) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
( sQ42_spl
<=> sK14_skl = g3_lattices(u1_struct_0(sK14_skl),u2_lattices(sK14_skl),u1_lattices(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f664,f665,f668]) ).
fof(f672,plain,
( sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f667,f307]) ).
fof(f673,plain,
sQ41_spl,
inference(contradiction_clause,[status(thm)],[f672]) ).
fof(f674,plain,
( v11_lattices(sK14_skl)
| ~ v17_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f143,f307]) ).
fof(f676,plain,
( v11_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f143,f104]) ).
fof(f677,definition,
( sQ43_spl
<=> v11_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f680,plain,
( sQ43_spl
| ~ sQ25_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f674,f577,f583,f677]) ).
fof(f685,definition,
( sQ45_spl
<=> v11_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ45_spl
| v11_lattices(sK0_skl) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( sQ45_spl
| ~ sQ11_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f676,f471,f518,f685]) ).
fof(f689,plain,
( v13_lattices(sK14_skl)
| ~ v17_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f144,f307]) ).
fof(f691,plain,
( v13_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f144,f104]) ).
fof(f692,definition,
( sQ46_spl
<=> v13_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f695,plain,
( sQ46_spl
| ~ sQ25_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f689,f577,f583,f692]) ).
fof(f700,definition,
( sQ48_spl
<=> v13_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( sQ48_spl
| ~ sQ11_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f691,f471,f518,f700]) ).
fof(f704,plain,
( v14_lattices(sK14_skl)
| ~ v17_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f145,f307]) ).
fof(f706,plain,
( v14_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f145,f104]) ).
fof(f707,definition,
( sQ49_spl
<=> v14_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( sQ49_spl
| ~ sQ25_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f704,f577,f583,f707]) ).
fof(f715,definition,
( sQ51_spl
<=> v14_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ51_spl
| v14_lattices(sK0_skl) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( sQ51_spl
| ~ sQ11_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f706,f471,f518,f715]) ).
fof(f722,definition,
( sQ52_spl
<=> v15_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f730,definition,
( sQ54_spl
<=> v15_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( v16_lattices(sK14_skl)
| ~ v17_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f147,f307]) ).
fof(f745,plain,
( v16_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f147,f104]) ).
fof(f746,definition,
( sQ55_spl
<=> v16_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( sQ55_spl
| ~ sQ25_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f743,f577,f583,f746]) ).
fof(f754,definition,
( sQ57_spl
<=> v16_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( sQ57_spl
| ~ sQ11_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f745,f471,f518,f754]) ).
fof(f761,plain,
( ~ sQ4_spl
| k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,sK2_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f164,f478]) ).
fof(f762,plain,
( k5_filter_2(sK0_skl,sK2_skl) = sK2_skl
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f164,f107]) ).
fof(f763,definition,
( sQ58_spl
<=> k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ58_spl
| k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,plain,
( ~ sQ4_spl
| sQ58_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f761,f471,f482,f474,f763,f477]) ).
fof(f767,definition,
( sQ59_spl
<=> k5_filter_2(sK0_skl,sK2_skl) = sK2_skl ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ59_spl
| k5_filter_2(sK0_skl,sK2_skl) = sK2_skl ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,plain,
( sQ59_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f762,f471,f482,f474,f767]) ).
fof(f771,plain,
( ~ sQ45_spl
| v12_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l3_lattices(sK0_skl) ),
inference(resolution,[status(thm)],[f686,f160]) ).
fof(f772,definition,
( sQ60_spl
<=> v12_lattices(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ45_spl
| sQ60_spl
| ~ sQ5_spl
| sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f771,f474,f471,f482,f772,f685]) ).
fof(f776,plain,
( ~ sQ40_spl
| r2_filter_2(sK0_skl,sK1_skl)
| ~ m2_filter_2(sK1_skl,sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f655,f438]) ).
fof(f777,definition,
( sQ61_spl
<=> r2_filter_2(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ40_spl
| sQ61_spl
| ~ sQ39_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f776,f471,f482,f474,f651,f777,f654]) ).
fof(f781,plain,
( ~ sQ51_spl
| v15_lattices(sK0_skl)
| ~ v13_lattices(sK0_skl)
| v3_struct_0(sK0_skl)
| ~ l3_lattices(sK0_skl) ),
inference(resolution,[status(thm)],[f716,f136]) ).
fof(f782,plain,
( ~ sQ51_spl
| sQ54_spl
| ~ sQ48_spl
| sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f781,f474,f471,f700,f730,f715]) ).
fof(f789,plain,
( m1_filter_2(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f171,f105]) ).
fof(f790,definition,
( sQ62_spl
<=> m1_filter_2(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ62_spl
| m1_filter_2(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( sQ62_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f789,f471,f482,f474,f790]) ).
fof(f796,plain,
v3_lattices(k1_lattice2(sK0_skl)),
inference(resolution,[status(thm)],[f173,f104]) ).
fof(f799,plain,
l3_lattices(k1_lattice2(sK0_skl)),
inference(resolution,[status(thm)],[f174,f104]) ).
fof(f800,plain,
( ~ sQ4_spl
| m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f176,f478]) ).
fof(f801,plain,
( m1_subset_1(k5_filter_2(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f176,f107]) ).
fof(f802,definition,
( sQ63_spl
<=> m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( ~ sQ63_spl
| m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( ~ sQ4_spl
| sQ63_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f800,f471,f482,f474,f802,f477]) ).
fof(f806,definition,
( sQ64_spl
<=> m1_subset_1(k5_filter_2(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ64_spl
| m1_subset_1(k5_filter_2(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( sQ64_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f801,f471,f482,f474,f806]) ).
fof(f810,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f764,f803]) ).
fof(f811,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| m1_subset_1(sK2_skl,u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(forward_demodulation,[status(thm)],[f768,f807]) ).
fof(f814,plain,
( k1_lattice2(sK0_skl) = g3_lattices(u1_struct_0(k1_lattice2(sK0_skl)),u2_lattices(k1_lattice2(sK0_skl)),u1_lattices(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f796,f111]) ).
fof(f815,definition,
( sQ65_spl
<=> l3_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( sQ65_spl
| ~ l3_lattices(k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,definition,
( sQ66_spl
<=> k1_lattice2(sK0_skl) = g3_lattices(u1_struct_0(k1_lattice2(sK0_skl)),u2_lattices(k1_lattice2(sK0_skl)),u1_lattices(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( sQ66_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f814,f815,f818]) ).
fof(f822,plain,
( sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f817,f799]) ).
fof(f823,plain,
sQ65_spl,
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f824,plain,
l3_lattices(k1_lattice2(k1_lattice2(sK0_skl))),
inference(resolution,[status(thm)],[f799,f174]) ).
fof(f825,plain,
v3_lattices(k1_lattice2(k1_lattice2(sK0_skl))),
inference(resolution,[status(thm)],[f799,f173]) ).
fof(f827,plain,
( v16_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f799,f147]) ).
fof(f828,plain,
( v15_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f799,f146]) ).
fof(f831,plain,
( v11_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f799,f143]) ).
fof(f834,plain,
( v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f799,f275]) ).
fof(f839,definition,
( sQ67_spl
<=> v3_struct_0(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ67_spl
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,definition,
( sQ68_spl
<=> v16_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( sQ68_spl
| ~ sQ12_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f827,f839,f521,f842]) ).
fof(f846,definition,
( sQ69_spl
<=> v15_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ69_spl
| v15_lattices(k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( sQ69_spl
| ~ sQ12_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f828,f839,f521,f846]) ).
fof(f850,definition,
( sQ70_spl
<=> v14_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f854,definition,
( sQ71_spl
<=> v13_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f858,definition,
( sQ72_spl
<=> v11_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( sQ72_spl
| ~ sQ12_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f831,f839,f521,f858]) ).
fof(f862,definition,
( sQ73_spl
<=> v10_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f865,definition,
( sQ74_spl
<=> v9_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ74_spl
| v9_lattices(k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f869,definition,
( sQ75_spl
<=> v8_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f873,definition,
( sQ76_spl
<=> v17_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( sQ76_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f834,f839,f862,f521,f873]) ).
fof(f877,definition,
( sQ77_spl
<=> v7_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f881,definition,
( sQ78_spl
<=> v6_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f885,definition,
( sQ79_spl
<=> v5_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f889,definition,
( sQ80_spl
<=> v4_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f893,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),sK2_skl),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f811,f176]) ).
fof(f894,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| k5_filter_2(k1_lattice2(sK0_skl),sK2_skl) = sK2_skl
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f811,f164]) ).
fof(f895,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),sK2_skl),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f811,f180]) ).
fof(f896,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| r2_hidden(sK2_skl,u1_struct_0(k1_lattice2(sK0_skl)))
| v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f811,f434]) ).
fof(f897,definition,
( sQ81_spl
<=> m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),sK2_skl),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ81_spl
| m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),sK2_skl),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| sQ81_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f893,f839,f862,f815,f897,f767,f806]) ).
fof(f901,definition,
( sQ82_spl
<=> k5_filter_2(k1_lattice2(sK0_skl),sK2_skl) = sK2_skl ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ82_spl
| k5_filter_2(k1_lattice2(sK0_skl),sK2_skl) = sK2_skl ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| sQ82_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f894,f839,f862,f815,f901,f767,f806]) ).
fof(f905,definition,
( sQ83_spl
<=> m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( ~ sQ83_spl
| m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| sQ83_spl
| ~ sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f895,f839,f815,f905,f767,f806]) ).
fof(f909,definition,
( sQ84_spl
<=> v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ84_spl
| v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,definition,
( sQ85_spl
<=> r2_hidden(sK2_skl,u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f896,f909,f912,f767,f806]) ).
fof(f916,plain,
( v12_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl)
| ~ l3_lattices(sK14_skl) ),
inference(resolution,[status(thm)],[f317,f160]) ).
fof(f917,definition,
( sQ86_spl
<=> v12_lattices(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( sQ86_spl
| ~ sQ24_spl
| sQ23_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f916,f665,f577,f580,f917]) ).
fof(f923,plain,
l1_lattices(k1_lattice2(sK0_skl)),
inference(resolution,[status(thm)],[f186,f799]) ).
fof(f924,plain,
l1_lattices(sK14_skl),
inference(resolution,[status(thm)],[f186,f307]) ).
fof(f926,plain,
l1_lattices(sK0_skl),
inference(resolution,[status(thm)],[f186,f104]) ).
fof(f927,plain,
l2_lattices(k1_lattice2(sK0_skl)),
inference(resolution,[status(thm)],[f187,f799]) ).
fof(f930,plain,
l2_lattices(sK0_skl),
inference(resolution,[status(thm)],[f187,f104]) ).
fof(f931,plain,
l1_struct_0(sK0_skl),
inference(resolution,[status(thm)],[f926,f182]) ).
fof(f933,plain,
( ~ sQ37_spl
| m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f643,f176]) ).
fof(f934,plain,
( ~ sQ37_spl
| k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f643,f164]) ).
fof(f935,plain,
( ~ sQ37_spl
| m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))),u1_struct_0(sK0_skl))
| ~ l3_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f643,f180]) ).
fof(f936,plain,
( ~ sQ37_spl
| r2_hidden(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(sK0_skl))
| v1_xboole_0(u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f643,f434]) ).
fof(f937,definition,
( sQ87_spl
<=> m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( ~ sQ37_spl
| sQ87_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f933,f471,f482,f474,f937,f642]) ).
fof(f941,definition,
( sQ88_spl
<=> k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( ~ sQ37_spl
| sQ88_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f934,f471,f482,f474,f941,f642]) ).
fof(f945,definition,
( sQ89_spl
<=> m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ89_spl
| m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,plain,
( ~ sQ37_spl
| sQ89_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f935,f471,f474,f945,f642]) ).
fof(f949,definition,
( sQ90_spl
<=> r2_hidden(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ37_spl
| sQ90_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f936,f530,f949,f642]) ).
fof(f954,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f810,f176]) ).
fof(f955,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,sK2_skl)
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f810,f164]) ).
fof(f956,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f810,f180]) ).
fof(f957,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| r2_hidden(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl)))
| v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f810,f434]) ).
fof(f958,definition,
( sQ91_spl
<=> m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| sQ91_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f954,f839,f862,f815,f958,f763,f802]) ).
fof(f962,definition,
( sQ92_spl
<=> k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| sQ92_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f955,f839,f862,f815,f962,f763,f802]) ).
fof(f966,definition,
( sQ93_spl
<=> m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl)),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| sQ93_spl
| ~ sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f956,f839,f815,f966,f763,f802]) ).
fof(f970,definition,
( sQ94_spl
<=> r2_hidden(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| sQ94_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f957,f909,f970,f763,f802]) ).
fof(f974,plain,
l2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),
inference(resolution,[status(thm)],[f824,f187]) ).
fof(f975,plain,
l1_lattices(k1_lattice2(k1_lattice2(sK0_skl))),
inference(resolution,[status(thm)],[f824,f186]) ).
fof(f979,plain,
( v16_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f824,f147]) ).
fof(f980,plain,
( v15_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f824,f146]) ).
fof(f981,plain,
( v14_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f824,f145]) ).
fof(f982,plain,
( v13_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f824,f144]) ).
fof(f983,plain,
( v11_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f824,f143]) ).
fof(f986,plain,
( v17_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f824,f275]) ).
fof(f991,definition,
( sQ95_spl
<=> v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( ~ sQ95_spl
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,definition,
( sQ96_spl
<=> v16_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( sQ96_spl
| ~ sQ76_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f979,f991,f873,f994]) ).
fof(f998,definition,
( sQ97_spl
<=> v15_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ97_spl
| ~ sQ76_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f980,f991,f873,f998]) ).
fof(f1002,definition,
( sQ98_spl
<=> v14_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( sQ98_spl
| ~ sQ76_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f981,f991,f873,f1002]) ).
fof(f1006,definition,
( sQ99_spl
<=> v13_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( sQ99_spl
| ~ sQ76_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f982,f991,f873,f1006]) ).
fof(f1010,definition,
( sQ100_spl
<=> v11_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( sQ100_spl
| ~ sQ76_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f983,f991,f873,f1010]) ).
fof(f1014,definition,
( sQ101_spl
<=> v10_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1017,definition,
( sQ102_spl
<=> v9_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1021,definition,
( sQ103_spl
<=> v8_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1025,definition,
( sQ104_spl
<=> v17_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1028,plain,
( sQ104_spl
| ~ sQ76_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f986,f991,f1014,f873,f1025]) ).
fof(f1029,definition,
( sQ105_spl
<=> v7_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1033,definition,
( sQ106_spl
<=> v6_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1037,definition,
( sQ107_spl
<=> v5_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1041,definition,
( sQ108_spl
<=> v4_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( v15_lattices(sK14_skl)
| ~ v13_lattices(sK14_skl)
| v3_struct_0(sK14_skl)
| ~ l3_lattices(sK14_skl) ),
inference(resolution,[status(thm)],[f320,f136]) ).
fof(f1046,plain,
( sQ52_spl
| ~ sQ46_spl
| sQ23_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1045,f665,f577,f692,f722]) ).
fof(f1052,plain,
( v16_lattices(sK15_skl)
| ~ v17_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f147]) ).
fof(f1056,plain,
( v11_lattices(sK15_skl)
| ~ v17_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f143]) ).
fof(f1057,plain,
( v9_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f123]) ).
fof(f1058,plain,
( v8_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f122]) ).
fof(f1059,plain,
( v17_lattices(k1_lattice2(sK15_skl))
| ~ v17_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f275]) ).
fof(f1060,plain,
( v7_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f121]) ).
fof(f1061,plain,
( v6_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f120]) ).
fof(f1062,plain,
( v5_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f119]) ).
fof(f1063,plain,
( v4_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f322,f118]) ).
fof(f1064,definition,
( sQ109_spl
<=> v3_struct_0(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( ~ sQ109_spl
| v3_struct_0(sK15_skl) ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,definition,
( sQ110_spl
<=> v17_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1070,definition,
( sQ111_spl
<=> v16_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( sQ111_spl
| ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1052,f1064,f1067,f1070]) ).
fof(f1074,definition,
( sQ112_spl
<=> v15_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1078,definition,
( sQ113_spl
<=> v14_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1082,definition,
( sQ114_spl
<=> v13_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1086,definition,
( sQ115_spl
<=> v11_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( sQ115_spl
| ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1056,f1064,f1067,f1086]) ).
fof(f1090,definition,
( sQ116_spl
<=> v10_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( sQ116_spl
| ~ v10_lattices(sK15_skl) ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,definition,
( sQ117_spl
<=> v9_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( sQ117_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1057,f1064,f1090,f1093]) ).
fof(f1097,definition,
( sQ118_spl
<=> v8_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( sQ118_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1058,f1064,f1090,f1097]) ).
fof(f1101,definition,
( sQ119_spl
<=> v17_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( sQ119_spl
| ~ sQ110_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1059,f1064,f1090,f1067,f1101]) ).
fof(f1105,definition,
( sQ120_spl
<=> v7_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1108,plain,
( sQ120_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1060,f1064,f1090,f1105]) ).
fof(f1109,definition,
( sQ121_spl
<=> v6_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( sQ121_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1061,f1064,f1090,f1109]) ).
fof(f1113,definition,
( sQ122_spl
<=> v5_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( sQ122_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1062,f1064,f1090,f1113]) ).
fof(f1117,definition,
( sQ123_spl
<=> v4_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( sQ123_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1063,f1064,f1090,f1117]) ).
fof(f1121,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f323]) ).
fof(f1122,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1092,f331]) ).
fof(f1124,plain,
sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1125,plain,
( ~ sQ62_spl
| ~ v1_xboole_0(k15_filter_2(sK0_skl,sK1_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f192,f791]) ).
fof(f1126,definition,
( sQ124_spl
<=> v1_xboole_0(k15_filter_2(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1129,plain,
( ~ sQ62_spl
| ~ sQ124_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1125,f839,f862,f815,f1126,f790]) ).
fof(f1130,plain,
( ~ sQ62_spl
| m2_lattice4(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f193,f791]) ).
fof(f1131,definition,
( sQ125_spl
<=> m2_lattice4(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( ~ sQ125_spl
| m2_lattice4(k15_filter_2(sK0_skl,sK1_skl),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,plain,
( ~ sQ62_spl
| sQ125_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1130,f839,f862,f815,f1131,f790]) ).
fof(f1135,plain,
( m2_lattice4(sK1_skl,sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f196,f105]) ).
fof(f1136,definition,
( sQ126_spl
<=> m2_lattice4(sK1_skl,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1137,plain,
( ~ sQ126_spl
| m2_lattice4(sK1_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1136]) ).
fof(f1139,plain,
( sQ126_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1135,f471,f482,f474,f1136]) ).
fof(f1140,plain,
l1_struct_0(k1_lattice2(sK0_skl)),
inference(resolution,[status(thm)],[f923,f182]) ).
fof(f1141,plain,
( ~ sQ126_spl
| m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1137,f198]) ).
fof(f1142,definition,
( sQ127_spl
<=> m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1143,plain,
( ~ sQ127_spl
| m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,plain,
( ~ sQ126_spl
| sQ127_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1141,f471,f482,f474,f1142,f1136]) ).
fof(f1146,plain,
( k1_lattice2(k1_lattice2(sK0_skl)) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))),u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_lattices(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f825,f111]) ).
fof(f1147,definition,
( sQ128_spl
<=> l3_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( sQ128_spl
| ~ l3_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,definition,
( sQ129_spl
<=> k1_lattice2(k1_lattice2(sK0_skl)) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))),u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_lattices(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1153,plain,
( sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f1146,f1147,f1150]) ).
fof(f1154,plain,
( sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1149,f824]) ).
fof(f1155,plain,
sQ128_spl,
inference(contradiction_clause,[status(thm)],[f1154]) ).
fof(f1161,plain,
( ~ sQ127_spl
| m1_subset_1(k7_filter_2(sK0_skl,sK1_skl),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1143,f178]) ).
fof(f1162,plain,
( ~ sQ127_spl
| k7_filter_2(sK0_skl,sK1_skl) = sK1_skl
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1143,f166]) ).
fof(f1163,plain,
( ~ sQ127_spl
| r2_hidden(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f1143,f434]) ).
fof(f1166,definition,
( sQ130_spl
<=> m1_subset_1(k7_filter_2(sK0_skl,sK1_skl),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ127_spl
| sQ130_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1161,f471,f482,f474,f1166,f1142]) ).
fof(f1170,definition,
( sQ131_spl
<=> k7_filter_2(sK0_skl,sK1_skl) = sK1_skl ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
( ~ sQ131_spl
| k7_filter_2(sK0_skl,sK1_skl) = sK1_skl ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( ~ sQ127_spl
| sQ131_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1162,f471,f482,f474,f1170,f1142]) ).
fof(f1174,definition,
( sQ132_spl
<=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1175,plain,
( ~ sQ132_spl
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1177,definition,
( sQ133_spl
<=> r2_hidden(sK1_skl,k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1180,plain,
( ~ sQ127_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1163,f1174,f1177,f1142]) ).
fof(f1182,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1175,f242]) ).
fof(f1183,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f1182]) ).
fof(f1184,plain,
( sK15_skl = g3_lattices(u1_struct_0(sK15_skl),u2_lattices(sK15_skl),u1_lattices(sK15_skl))
| ~ l3_lattices(sK15_skl) ),
inference(resolution,[status(thm)],[f324,f111]) ).
fof(f1185,definition,
( sQ134_spl
<=> l3_lattices(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
( sQ134_spl
| ~ l3_lattices(sK15_skl) ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,definition,
( sQ135_spl
<=> sK15_skl = g3_lattices(u1_struct_0(sK15_skl),u2_lattices(sK15_skl),u1_lattices(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( sQ135_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f1184,f1185,f1188]) ).
fof(f1192,plain,
( sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f322]) ).
fof(f1193,plain,
sQ134_spl,
inference(contradiction_clause,[status(thm)],[f1192]) ).
fof(f1223,plain,
( m1_filter_0(sK7_skl(sK15_skl),sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f219,f322]) ).
fof(f1224,plain,
( m1_filter_0(sK7_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f219,f824]) ).
fof(f1225,plain,
( m1_filter_0(sK7_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f219,f799]) ).
fof(f1226,plain,
( m1_filter_0(sK7_skl(sK14_skl),sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f219,f307]) ).
fof(f1228,plain,
( m1_filter_0(sK7_skl(sK0_skl),sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f219,f104]) ).
fof(f1229,definition,
( sQ136_spl
<=> m1_filter_0(sK7_skl(sK15_skl),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( sQ136_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1223,f1064,f1090,f1229]) ).
fof(f1233,definition,
( sQ137_spl
<=> m1_filter_0(sK7_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
( sQ137_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1224,f991,f1014,f1233]) ).
fof(f1237,definition,
( sQ138_spl
<=> m1_filter_0(sK7_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( ~ sQ138_spl
| m1_filter_0(sK7_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1237]) ).
fof(f1240,plain,
( sQ138_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1225,f839,f862,f1237]) ).
fof(f1241,definition,
( sQ139_spl
<=> m1_filter_0(sK7_skl(sK14_skl),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( sQ139_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1226,f577,f580,f1241]) ).
fof(f1249,definition,
( sQ141_spl
<=> m1_filter_0(sK7_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ141_spl
| m1_filter_0(sK7_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( sQ141_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1228,f471,f482,f1249]) ).
fof(f1253,plain,
( m1_filter_2(sK8_skl(sK15_skl),sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f222,f322]) ).
fof(f1254,plain,
( m1_filter_2(sK8_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f222,f824]) ).
fof(f1255,plain,
( m1_filter_2(sK8_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f222,f799]) ).
fof(f1256,plain,
( m1_filter_2(sK8_skl(sK14_skl),sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f222,f307]) ).
fof(f1258,plain,
( m1_filter_2(sK8_skl(sK0_skl),sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f222,f104]) ).
fof(f1259,definition,
( sQ142_spl
<=> m1_filter_2(sK8_skl(sK15_skl),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1262,plain,
( sQ142_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1253,f1064,f1090,f1259]) ).
fof(f1263,definition,
( sQ143_spl
<=> m1_filter_2(sK8_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1266,plain,
( sQ143_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1254,f991,f1014,f1263]) ).
fof(f1267,definition,
( sQ144_spl
<=> m1_filter_2(sK8_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( ~ sQ144_spl
| m1_filter_2(sK8_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1270,plain,
( sQ144_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1255,f839,f862,f1267]) ).
fof(f1271,definition,
( sQ145_spl
<=> m1_filter_2(sK8_skl(sK14_skl),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1274,plain,
( sQ145_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1256,f577,f580,f1271]) ).
fof(f1279,definition,
( sQ147_spl
<=> m1_filter_2(sK8_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1280,plain,
( ~ sQ147_spl
| m1_filter_2(sK8_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1282,plain,
( sQ147_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1258,f471,f482,f1279]) ).
fof(f1290,plain,
! [X0] :
( m1_subset_1(k7_lattices(X0,sK10_skl(u1_struct_0(X0))),u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution,[status(thm)],[f226,f180]) ).
fof(f1291,plain,
! [X0] :
( r2_hidden(sK10_skl(X0),X0)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f226,f434]) ).
fof(f1292,plain,
( m2_filter_2(sK11_skl(sK15_skl),sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f229,f322]) ).
fof(f1293,plain,
( m2_filter_2(sK11_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f229,f824]) ).
fof(f1294,plain,
( m2_filter_2(sK11_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f229,f799]) ).
fof(f1295,plain,
( m2_filter_2(sK11_skl(sK14_skl),sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f229,f307]) ).
fof(f1297,plain,
( m2_filter_2(sK11_skl(sK0_skl),sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f229,f104]) ).
fof(f1298,definition,
( sQ148_spl
<=> m2_filter_2(sK11_skl(sK15_skl),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1301,plain,
( sQ148_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1292,f1064,f1090,f1298]) ).
fof(f1302,definition,
( sQ149_spl
<=> m2_filter_2(sK11_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( sQ149_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1293,f991,f1014,f1302]) ).
fof(f1306,definition,
( sQ150_spl
<=> m2_filter_2(sK11_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( ~ sQ150_spl
| m2_filter_2(sK11_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1309,plain,
( sQ150_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1294,f839,f862,f1306]) ).
fof(f1310,definition,
( sQ151_spl
<=> m2_filter_2(sK11_skl(sK14_skl),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( sQ151_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1295,f577,f580,f1310]) ).
fof(f1318,definition,
( sQ153_spl
<=> m2_filter_2(sK11_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( ~ sQ153_spl
| m2_filter_2(sK11_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1321,plain,
( sQ153_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1297,f471,f482,f1318]) ).
fof(f1322,plain,
( m2_lattice4(sK12_skl(sK15_skl),sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f232,f322]) ).
fof(f1323,plain,
( m2_lattice4(sK12_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f232,f824]) ).
fof(f1324,plain,
( m2_lattice4(sK12_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f232,f799]) ).
fof(f1325,plain,
( m2_lattice4(sK12_skl(sK14_skl),sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f232,f307]) ).
fof(f1327,plain,
( m2_lattice4(sK12_skl(sK0_skl),sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f232,f104]) ).
fof(f1328,definition,
( sQ154_spl
<=> m2_lattice4(sK12_skl(sK15_skl),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( sQ154_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1322,f1064,f1090,f1328]) ).
fof(f1332,definition,
( sQ155_spl
<=> m2_lattice4(sK12_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1335,plain,
( sQ155_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1323,f991,f1014,f1332]) ).
fof(f1336,definition,
( sQ156_spl
<=> m2_lattice4(sK12_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( ~ sQ156_spl
| m2_lattice4(sK12_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,plain,
( sQ156_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1324,f839,f862,f1336]) ).
fof(f1340,definition,
( sQ157_spl
<=> m2_lattice4(sK12_skl(sK14_skl),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( sQ157_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1325,f577,f580,f1340]) ).
fof(f1348,definition,
( sQ159_spl
<=> m2_lattice4(sK12_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( ~ sQ159_spl
| m2_lattice4(sK12_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1348]) ).
fof(f1351,plain,
( sQ159_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1327,f471,f482,f1348]) ).
fof(f1355,plain,
l1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))),
inference(resolution,[status(thm)],[f974,f184]) ).
fof(f1356,plain,
( ~ sQ141_spl
| m1_subset_1(sK7_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1250,f190]) ).
fof(f1357,plain,
( ~ sQ141_spl
| ~ v1_xboole_0(sK7_skl(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1250,f189]) ).
fof(f1358,definition,
( sQ160_spl
<=> m1_subset_1(sK7_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( ~ sQ160_spl
| m1_subset_1(sK7_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,plain,
( ~ sQ141_spl
| sQ160_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1356,f471,f482,f474,f1358,f1249]) ).
fof(f1362,definition,
( sQ161_spl
<=> v1_xboole_0(sK7_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1365,plain,
( ~ sQ141_spl
| ~ sQ161_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1357,f471,f482,f474,f1362,f1249]) ).
fof(f1366,plain,
( ~ sQ147_spl
| m2_lattice4(sK8_skl(sK0_skl),sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1280,f193]) ).
fof(f1367,plain,
( ~ sQ147_spl
| ~ v1_xboole_0(sK8_skl(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1280,f192]) ).
fof(f1368,definition,
( sQ162_spl
<=> m2_lattice4(sK8_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1369,plain,
( ~ sQ162_spl
| m2_lattice4(sK8_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1368]) ).
fof(f1371,plain,
( ~ sQ147_spl
| sQ162_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1366,f471,f482,f474,f1368,f1279]) ).
fof(f1372,definition,
( sQ163_spl
<=> v1_xboole_0(sK8_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1375,plain,
( ~ sQ147_spl
| ~ sQ163_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1367,f471,f482,f474,f1372,f1279]) ).
fof(f1376,plain,
( m1_subset_1(k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))),u1_struct_0(sK15_skl))
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f1290,f322]) ).
fof(f1377,plain,
( m1_subset_1(k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),sK10_skl(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f1290,f824]) ).
fof(f1378,plain,
( m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1290,f799]) ).
fof(f1379,plain,
( m1_subset_1(k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))),u1_struct_0(sK14_skl))
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f1290,f307]) ).
fof(f1381,plain,
( m1_subset_1(k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))),u1_struct_0(sK0_skl))
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1290,f104]) ).
fof(f1382,definition,
( sQ164_spl
<=> m1_subset_1(k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))),u1_struct_0(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( ~ sQ164_spl
| m1_subset_1(k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))),u1_struct_0(sK15_skl)) ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1385,plain,
( sQ164_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1376,f1064,f1382]) ).
fof(f1386,definition,
( sQ165_spl
<=> m1_subset_1(k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),sK10_skl(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
( sQ165_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1377,f991,f1386]) ).
fof(f1390,definition,
( sQ166_spl
<=> m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( ~ sQ166_spl
| m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,plain,
( sQ166_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1378,f839,f1390]) ).
fof(f1394,definition,
( sQ167_spl
<=> m1_subset_1(k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))),u1_struct_0(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ167_spl
| m1_subset_1(k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))),u1_struct_0(sK14_skl)) ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,plain,
( sQ167_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1379,f577,f1394]) ).
fof(f1402,definition,
( sQ169_spl
<=> m1_subset_1(k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( ~ sQ169_spl
| m1_subset_1(k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))),u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,plain,
( sQ169_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1381,f471,f1402]) ).
fof(f1407,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f1291,f452]) ).
fof(f1408,plain,
! [X0,X1] :
( m1_subset_1(sK10_skl(X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f1291,f445]) ).
fof(f1411,plain,
( ~ sQ153_spl
| m2_lattice4(sK11_skl(sK0_skl),sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1319,f196]) ).
fof(f1412,plain,
( ~ sQ153_spl
| m1_filter_2(k15_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1319,f171]) ).
fof(f1413,plain,
( ~ sQ153_spl
| ~ v1_xboole_0(sK11_skl(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1319,f195]) ).
fof(f1414,definition,
( sQ170_spl
<=> m2_lattice4(sK11_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( ~ sQ170_spl
| m2_lattice4(sK11_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,plain,
( ~ sQ153_spl
| sQ170_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1411,f471,f482,f474,f1414,f1318]) ).
fof(f1418,definition,
( sQ171_spl
<=> m1_filter_2(k15_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( ~ sQ171_spl
| m1_filter_2(k15_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,plain,
( ~ sQ153_spl
| sQ171_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1412,f471,f482,f474,f1418,f1318]) ).
fof(f1422,definition,
( sQ172_spl
<=> v1_xboole_0(sK11_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( ~ sQ153_spl
| ~ sQ172_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1413,f471,f482,f474,f1422,f1318]) ).
fof(f1426,plain,
( ~ sQ159_spl
| m1_subset_1(sK12_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1349,f198]) ).
fof(f1427,definition,
( sQ173_spl
<=> m1_subset_1(sK12_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( ~ sQ173_spl
| m1_subset_1(sK12_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f1427]) ).
fof(f1430,plain,
( ~ sQ159_spl
| sQ173_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1426,f471,f482,f474,f1427,f1348]) ).
fof(f1435,plain,
( ~ sQ127_spl
| ~ v1_xboole_0(k7_filter_2(sK0_skl,sK1_skl))
| v1_xboole_0(sK1_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f236,f1143]) ).
fof(f1436,definition,
( sQ174_spl
<=> v1_xboole_0(k7_filter_2(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1439,plain,
( ~ sQ127_spl
| ~ sQ174_spl
| sQ10_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1435,f471,f482,f474,f513,f1436,f1142]) ).
fof(f1441,plain,
( ~ sQ67_spl
| ~ l3_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f238,f840]) ).
fof(f1442,plain,
( ~ sQ67_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1441,f471,f474,f839]) ).
fof(f1443,plain,
( ~ sQ84_spl
| ~ l1_struct_0(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f241,f910]) ).
fof(f1444,definition,
( sQ175_spl
<=> l1_struct_0(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1446,plain,
( sQ175_spl
| ~ l1_struct_0(k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f1444]) ).
fof(f1447,plain,
( ~ sQ84_spl
| ~ sQ175_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1443,f839,f1444,f909]) ).
fof(f1448,plain,
( sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1446,f1140]) ).
fof(f1449,plain,
sQ175_spl,
inference(contradiction_clause,[status(thm)],[f1448]) ).
fof(f1450,plain,
( v1_relat_1(u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v4_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f245,f974]) ).
fof(f1451,plain,
( v1_relat_1(u2_lattices(k1_lattice2(sK0_skl)))
| ~ v4_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f245,f927]) ).
fof(f1452,plain,
( v1_relat_1(u2_lattices(sK0_skl))
| ~ v4_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f245,f930]) ).
fof(f1454,definition,
( sQ176_spl
<=> v1_relat_1(u2_lattices(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1457,plain,
( sQ176_spl
| ~ sQ108_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1450,f991,f1041,f1454]) ).
fof(f1458,definition,
( sQ177_spl
<=> v1_relat_1(u2_lattices(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( sQ177_spl
| ~ sQ80_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1451,f839,f889,f1458]) ).
fof(f1462,definition,
( sQ178_spl
<=> v1_relat_1(u2_lattices(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( sQ178_spl
| ~ sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1452,f471,f485,f1462]) ).
fof(f1477,plain,
( ~ sQ160_spl
| ~ v1_xboole_0(k7_filter_2(sK0_skl,sK7_skl(sK0_skl)))
| v1_xboole_0(sK7_skl(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1359,f236]) ).
fof(f1478,plain,
( ~ sQ160_spl
| m1_subset_1(k7_filter_2(sK0_skl,sK7_skl(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1359,f178]) ).
fof(f1479,plain,
( ~ sQ160_spl
| k7_filter_2(sK0_skl,sK7_skl(sK0_skl)) = sK7_skl(sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1359,f166]) ).
fof(f1480,plain,
( ~ sQ160_spl
| r2_hidden(sK7_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f1359,f434]) ).
fof(f1481,definition,
( sQ182_spl
<=> v1_xboole_0(k7_filter_2(sK0_skl,sK7_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( ~ sQ160_spl
| ~ sQ182_spl
| sQ161_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1477,f471,f482,f474,f1362,f1481,f1358]) ).
fof(f1485,definition,
( sQ183_spl
<=> m1_subset_1(k7_filter_2(sK0_skl,sK7_skl(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( ~ sQ160_spl
| sQ183_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1478,f471,f482,f474,f1485,f1358]) ).
fof(f1489,definition,
( sQ184_spl
<=> k7_filter_2(sK0_skl,sK7_skl(sK0_skl)) = sK7_skl(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( ~ sQ160_spl
| sQ184_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1479,f471,f482,f474,f1489,f1358]) ).
fof(f1493,definition,
( sQ185_spl
<=> r2_hidden(sK7_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( ~ sQ160_spl
| sQ185_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1480,f1174,f1493,f1358]) ).
fof(f1499,plain,
( v15_lattices(sK15_skl)
| ~ v13_lattices(sK15_skl)
| v3_struct_0(sK15_skl)
| ~ l3_lattices(sK15_skl) ),
inference(resolution,[status(thm)],[f333,f136]) ).
fof(f1500,plain,
( sQ112_spl
| ~ sQ114_spl
| sQ109_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f1499,f1185,f1064,f1082,f1074]) ).
fof(f1501,plain,
( v14_lattices(sK15_skl)
| v3_struct_0(sK15_skl)
| ~ l3_lattices(sK15_skl) ),
inference(resolution,[status(thm)],[f334,f140]) ).
fof(f1502,plain,
( v13_lattices(sK15_skl)
| v3_struct_0(sK15_skl)
| ~ l3_lattices(sK15_skl) ),
inference(resolution,[status(thm)],[f334,f139]) ).
fof(f1503,plain,
( sQ113_spl
| sQ109_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f1501,f1185,f1064,f1078]) ).
fof(f1504,plain,
( sQ114_spl
| sQ109_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f1502,f1185,f1064,f1082]) ).
fof(f1505,plain,
( m1_subset_1(k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))),u1_struct_0(sK16_skl))
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f1290]) ).
fof(f1506,plain,
( m2_lattice4(sK12_skl(sK16_skl),sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f232]) ).
fof(f1507,plain,
( m2_filter_2(sK11_skl(sK16_skl),sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f229]) ).
fof(f1508,plain,
( m1_filter_2(sK8_skl(sK16_skl),sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f222]) ).
fof(f1509,plain,
( m1_filter_0(sK7_skl(sK16_skl),sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f219]) ).
fof(f1515,plain,
( v16_lattices(sK16_skl)
| ~ v17_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f147]) ).
fof(f1519,plain,
( v11_lattices(sK16_skl)
| ~ v17_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f143]) ).
fof(f1520,plain,
( v9_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f123]) ).
fof(f1521,plain,
( v8_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f122]) ).
fof(f1522,plain,
( v17_lattices(k1_lattice2(sK16_skl))
| ~ v17_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f275]) ).
fof(f1523,plain,
( v7_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f121]) ).
fof(f1524,plain,
( v6_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f120]) ).
fof(f1525,plain,
( v5_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f119]) ).
fof(f1526,plain,
( v4_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f118]) ).
fof(f1527,definition,
( sQ186_spl
<=> v3_struct_0(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1528,plain,
( ~ sQ186_spl
| v3_struct_0(sK16_skl) ),
inference(component_clause,[status(thm)],[f1527]) ).
fof(f1530,definition,
( sQ187_spl
<=> m1_subset_1(k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))),u1_struct_0(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( ~ sQ187_spl
| m1_subset_1(k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))),u1_struct_0(sK16_skl)) ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1533,plain,
( sQ187_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1505,f1527,f1530]) ).
fof(f1534,definition,
( sQ188_spl
<=> v10_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1536,plain,
( sQ188_spl
| ~ v10_lattices(sK16_skl) ),
inference(component_clause,[status(thm)],[f1534]) ).
fof(f1537,definition,
( sQ189_spl
<=> m2_lattice4(sK12_skl(sK16_skl),sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( sQ189_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1506,f1527,f1534,f1537]) ).
fof(f1541,definition,
( sQ190_spl
<=> m2_filter_2(sK11_skl(sK16_skl),sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( sQ190_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1507,f1527,f1534,f1541]) ).
fof(f1545,definition,
( sQ191_spl
<=> m1_filter_2(sK8_skl(sK16_skl),sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( sQ191_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1508,f1527,f1534,f1545]) ).
fof(f1549,definition,
( sQ192_spl
<=> m1_filter_0(sK7_skl(sK16_skl),sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( sQ192_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1509,f1527,f1534,f1549]) ).
fof(f1553,definition,
( sQ193_spl
<=> v17_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1556,definition,
( sQ194_spl
<=> v16_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1559,plain,
( sQ194_spl
| ~ sQ193_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1515,f1527,f1553,f1556]) ).
fof(f1560,definition,
( sQ195_spl
<=> v15_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1564,definition,
( sQ196_spl
<=> v14_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1568,definition,
( sQ197_spl
<=> v13_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1572,definition,
( sQ198_spl
<=> v11_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1575,plain,
( sQ198_spl
| ~ sQ193_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1519,f1527,f1553,f1572]) ).
fof(f1576,definition,
( sQ199_spl
<=> v9_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
( sQ199_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1520,f1527,f1534,f1576]) ).
fof(f1580,definition,
( sQ200_spl
<=> v8_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1583,plain,
( sQ200_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1521,f1527,f1534,f1580]) ).
fof(f1584,definition,
( sQ201_spl
<=> v17_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1587,plain,
( sQ201_spl
| ~ sQ193_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1522,f1527,f1534,f1553,f1584]) ).
fof(f1588,definition,
( sQ202_spl
<=> v7_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( sQ202_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1523,f1527,f1534,f1588]) ).
fof(f1592,definition,
( sQ203_spl
<=> v6_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1595,plain,
( sQ203_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1524,f1527,f1534,f1592]) ).
fof(f1596,definition,
( sQ204_spl
<=> v5_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1599,plain,
( sQ204_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1525,f1527,f1534,f1596]) ).
fof(f1600,definition,
( sQ205_spl
<=> v4_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( sQ205_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1526,f1527,f1534,f1600]) ).
fof(f1604,plain,
( ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1528,f337]) ).
fof(f1605,plain,
~ sQ186_spl,
inference(contradiction_clause,[status(thm)],[f1604]) ).
fof(f1606,plain,
( sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1536,f345]) ).
fof(f1607,plain,
sQ188_spl,
inference(contradiction_clause,[status(thm)],[f1606]) ).
fof(f1608,plain,
( v1_binop_1(u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v4_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f248,f974]) ).
fof(f1609,plain,
( v1_binop_1(u2_lattices(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ v4_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f248,f927]) ).
fof(f1610,plain,
( v1_binop_1(u2_lattices(sK0_skl),u1_struct_0(sK0_skl))
| ~ v4_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f248,f930]) ).
fof(f1612,definition,
( sQ206_spl
<=> v1_binop_1(u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1615,plain,
( sQ206_spl
| ~ sQ108_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1608,f991,f1041,f1612]) ).
fof(f1616,definition,
( sQ207_spl
<=> v1_binop_1(u2_lattices(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1619,plain,
( sQ207_spl
| ~ sQ80_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1609,f839,f889,f1616]) ).
fof(f1620,definition,
( sQ208_spl
<=> v1_binop_1(u2_lattices(sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1623,plain,
( sQ208_spl
| ~ sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1610,f471,f485,f1620]) ).
fof(f1628,plain,
( v1_partfun1(u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),k2_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v4_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f249,f974]) ).
fof(f1629,plain,
( v1_partfun1(u2_lattices(k1_lattice2(sK0_skl)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ v4_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f249,f927]) ).
fof(f1630,plain,
( v1_partfun1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl))
| ~ v4_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f249,f930]) ).
fof(f1632,definition,
( sQ210_spl
<=> v1_partfun1(u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),k2_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1635,plain,
( sQ210_spl
| ~ sQ108_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1628,f991,f1041,f1632]) ).
fof(f1636,definition,
( sQ211_spl
<=> v1_partfun1(u2_lattices(k1_lattice2(sK0_skl)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
( sQ211_spl
| ~ sQ80_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1629,f839,f889,f1636]) ).
fof(f1640,definition,
( sQ212_spl
<=> v1_partfun1(u2_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1643,plain,
( sQ212_spl
| ~ sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1630,f471,f485,f1640]) ).
fof(f1659,plain,
( v2_binop_1(u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v5_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f254,f974]) ).
fof(f1660,plain,
( v2_binop_1(u2_lattices(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ v5_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f254,f927]) ).
fof(f1661,plain,
( v2_binop_1(u2_lattices(sK0_skl),u1_struct_0(sK0_skl))
| ~ v5_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f254,f930]) ).
fof(f1663,definition,
( sQ215_spl
<=> v2_binop_1(u2_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1666,plain,
( sQ215_spl
| ~ sQ107_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1659,f991,f1037,f1663]) ).
fof(f1667,definition,
( sQ216_spl
<=> v2_binop_1(u2_lattices(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1670,plain,
( sQ216_spl
| ~ sQ79_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1660,f839,f885,f1667]) ).
fof(f1671,definition,
( sQ217_spl
<=> v2_binop_1(u2_lattices(sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1674,plain,
( sQ217_spl
| ~ sQ7_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1661,f471,f496,f1671]) ).
fof(f1688,plain,
( ~ sQ162_spl
| m1_subset_1(sK8_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1369,f198]) ).
fof(f1689,definition,
( sQ219_spl
<=> m1_subset_1(sK8_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1692,plain,
( ~ sQ162_spl
| sQ219_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1688,f471,f482,f474,f1689,f1368]) ).
fof(f1693,plain,
( ~ sQ169_spl
| m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl)))),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1403,f176]) ).
fof(f1694,plain,
( ~ sQ169_spl
| k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl)))) = k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1403,f164]) ).
fof(f1695,plain,
( ~ sQ169_spl
| m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl)))),u1_struct_0(sK0_skl))
| ~ l3_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1403,f180]) ).
fof(f1696,plain,
( ~ sQ169_spl
| r2_hidden(k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))),u1_struct_0(sK0_skl))
| v1_xboole_0(u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f1403,f434]) ).
fof(f1697,definition,
( sQ220_spl
<=> m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl)))),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1700,plain,
( ~ sQ169_spl
| sQ220_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1693,f471,f482,f474,f1697,f1402]) ).
fof(f1701,definition,
( sQ221_spl
<=> k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl)))) = k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( ~ sQ169_spl
| sQ221_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1694,f471,f482,f474,f1701,f1402]) ).
fof(f1705,definition,
( sQ222_spl
<=> m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl)))),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1708,plain,
( ~ sQ169_spl
| sQ222_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1695,f471,f474,f1705,f1402]) ).
fof(f1709,definition,
( sQ223_spl
<=> r2_hidden(k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1712,plain,
( ~ sQ169_spl
| sQ223_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1696,f530,f1709,f1402]) ).
fof(f1716,plain,
( ~ sQ69_spl
| v14_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f847,f140]) ).
fof(f1717,plain,
( ~ sQ69_spl
| v13_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f847,f139]) ).
fof(f1718,plain,
( ~ sQ69_spl
| sQ70_spl
| sQ67_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1716,f815,f839,f850,f846]) ).
fof(f1719,plain,
( ~ sQ69_spl
| sQ71_spl
| sQ67_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1717,f815,f839,f854,f846]) ).
fof(f1722,definition,
( sQ224_spl
<=> l1_struct_0(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1724,plain,
( sQ224_spl
| ~ l1_struct_0(sK0_skl) ),
inference(component_clause,[status(thm)],[f1722]) ).
fof(f1726,plain,
( sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1724,f931]) ).
fof(f1727,plain,
sQ224_spl,
inference(contradiction_clause,[status(thm)],[f1726]) ).
fof(f1733,plain,
( ~ sQ167_spl
| m1_subset_1(k5_filter_2(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl)))),u1_struct_0(k1_lattice2(sK14_skl)))
| ~ l3_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f1395,f176]) ).
fof(f1734,plain,
( ~ sQ167_spl
| k5_filter_2(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl)))) = k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl)))
| ~ l3_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f1395,f164]) ).
fof(f1735,plain,
( ~ sQ167_spl
| m1_subset_1(k7_lattices(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl)))),u1_struct_0(sK14_skl))
| ~ l3_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f1395,f180]) ).
fof(f1736,plain,
( ~ sQ167_spl
| r2_hidden(k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))),u1_struct_0(sK14_skl))
| v1_xboole_0(u1_struct_0(sK14_skl)) ),
inference(resolution,[status(thm)],[f1395,f434]) ).
fof(f1737,definition,
( sQ225_spl
<=> m1_subset_1(k5_filter_2(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl)))),u1_struct_0(k1_lattice2(sK14_skl))) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1740,plain,
( ~ sQ167_spl
| sQ225_spl
| ~ sQ41_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1733,f577,f580,f665,f1737,f1394]) ).
fof(f1741,definition,
( sQ226_spl
<=> k5_filter_2(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl)))) = k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1744,plain,
( ~ sQ167_spl
| sQ226_spl
| ~ sQ41_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1734,f577,f580,f665,f1741,f1394]) ).
fof(f1745,definition,
( sQ227_spl
<=> m1_subset_1(k7_lattices(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl)))),u1_struct_0(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1748,plain,
( ~ sQ167_spl
| sQ227_spl
| ~ sQ41_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1735,f577,f665,f1745,f1394]) ).
fof(f1749,definition,
( sQ228_spl
<=> v1_xboole_0(u1_struct_0(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1750,plain,
( ~ sQ228_spl
| v1_xboole_0(u1_struct_0(sK14_skl)) ),
inference(component_clause,[status(thm)],[f1749]) ).
fof(f1752,definition,
( sQ229_spl
<=> r2_hidden(k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))),u1_struct_0(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1755,plain,
( ~ sQ167_spl
| sQ229_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1736,f1749,f1752,f1394]) ).
fof(f1757,plain,
( ~ sQ164_spl
| m1_subset_1(k5_filter_2(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl)))),u1_struct_0(k1_lattice2(sK15_skl)))
| ~ l3_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f1383,f176]) ).
fof(f1758,plain,
( ~ sQ164_spl
| k5_filter_2(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl)))) = k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl)))
| ~ l3_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f1383,f164]) ).
fof(f1759,plain,
( ~ sQ164_spl
| m1_subset_1(k7_lattices(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl)))),u1_struct_0(sK15_skl))
| ~ l3_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f1383,f180]) ).
fof(f1760,plain,
( ~ sQ164_spl
| r2_hidden(k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))),u1_struct_0(sK15_skl))
| v1_xboole_0(u1_struct_0(sK15_skl)) ),
inference(resolution,[status(thm)],[f1383,f434]) ).
fof(f1761,definition,
( sQ230_spl
<=> m1_subset_1(k5_filter_2(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl)))),u1_struct_0(k1_lattice2(sK15_skl))) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1764,plain,
( ~ sQ164_spl
| sQ230_spl
| ~ sQ134_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1757,f1064,f1090,f1185,f1761,f1382]) ).
fof(f1765,definition,
( sQ231_spl
<=> k5_filter_2(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl)))) = k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1768,plain,
( ~ sQ164_spl
| sQ231_spl
| ~ sQ134_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1758,f1064,f1090,f1185,f1765,f1382]) ).
fof(f1769,definition,
( sQ232_spl
<=> m1_subset_1(k7_lattices(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl)))),u1_struct_0(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
( ~ sQ164_spl
| sQ232_spl
| ~ sQ134_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1759,f1064,f1185,f1769,f1382]) ).
fof(f1773,definition,
( sQ233_spl
<=> v1_xboole_0(u1_struct_0(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1774,plain,
( ~ sQ233_spl
| v1_xboole_0(u1_struct_0(sK15_skl)) ),
inference(component_clause,[status(thm)],[f1773]) ).
fof(f1776,definition,
( sQ234_spl
<=> r2_hidden(k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))),u1_struct_0(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1779,plain,
( ~ sQ164_spl
| sQ234_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1760,f1773,f1776,f1382]) ).
fof(f1781,plain,
( sK16_skl = g3_lattices(u1_struct_0(sK16_skl),u2_lattices(sK16_skl),u1_lattices(sK16_skl))
| ~ l3_lattices(sK16_skl) ),
inference(resolution,[status(thm)],[f338,f111]) ).
fof(f1782,definition,
( sQ235_spl
<=> l3_lattices(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1784,plain,
( sQ235_spl
| ~ l3_lattices(sK16_skl) ),
inference(component_clause,[status(thm)],[f1782]) ).
fof(f1785,definition,
( sQ236_spl
<=> sK16_skl = g3_lattices(u1_struct_0(sK16_skl),u2_lattices(sK16_skl),u1_lattices(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1788,plain,
( sQ236_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f1781,f1782,f1785]) ).
fof(f1789,plain,
( sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1784,f336]) ).
fof(f1790,plain,
sQ235_spl,
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1791,plain,
( v11_lattices(k1_lattice2(sK16_skl))
| ~ v17_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f269,f336]) ).
fof(f1792,plain,
( v11_lattices(k1_lattice2(sK15_skl))
| ~ v17_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f269,f322]) ).
fof(f1793,plain,
( v11_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f269,f824]) ).
fof(f1795,plain,
( v11_lattices(k1_lattice2(sK14_skl))
| ~ v17_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f269,f307]) ).
fof(f1798,definition,
( sQ237_spl
<=> v11_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1801,plain,
( sQ237_spl
| ~ sQ193_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1791,f1527,f1534,f1553,f1798]) ).
fof(f1802,definition,
( sQ238_spl
<=> v11_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1805,plain,
( sQ238_spl
| ~ sQ110_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1792,f1064,f1090,f1067,f1802]) ).
fof(f1806,definition,
( sQ239_spl
<=> v11_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1809,plain,
( sQ239_spl
| ~ sQ76_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1793,f991,f1014,f873,f1806]) ).
fof(f1811,definition,
( sQ240_spl
<=> v11_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1814,plain,
( sQ240_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1795,f577,f580,f583,f1811]) ).
fof(f1820,plain,
( v12_lattices(k1_lattice2(sK16_skl))
| ~ v17_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f270,f336]) ).
fof(f1821,plain,
( v12_lattices(k1_lattice2(sK15_skl))
| ~ v17_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f270,f322]) ).
fof(f1822,plain,
( v12_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f270,f824]) ).
fof(f1823,plain,
( v12_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f270,f799]) ).
fof(f1824,plain,
( v12_lattices(k1_lattice2(sK14_skl))
| ~ v17_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f270,f307]) ).
fof(f1826,plain,
( v12_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f270,f104]) ).
fof(f1827,definition,
( sQ242_spl
<=> v12_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1830,plain,
( sQ242_spl
| ~ sQ193_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1820,f1527,f1534,f1553,f1827]) ).
fof(f1831,definition,
( sQ243_spl
<=> v12_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1834,plain,
( sQ243_spl
| ~ sQ110_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1821,f1064,f1090,f1067,f1831]) ).
fof(f1835,definition,
( sQ244_spl
<=> v12_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1838,plain,
( sQ244_spl
| ~ sQ76_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1822,f991,f1014,f873,f1835]) ).
fof(f1839,definition,
( sQ245_spl
<=> v12_lattices(k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1842,plain,
( sQ245_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1823,f839,f862,f521,f1839]) ).
fof(f1843,definition,
( sQ246_spl
<=> v12_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ246_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1824,f577,f580,f583,f1843]) ).
fof(f1851,definition,
( sQ248_spl
<=> v12_lattices(k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1854,plain,
( sQ248_spl
| ~ sQ11_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1826,f471,f482,f518,f1851]) ).
fof(f1855,plain,
( v13_lattices(k1_lattice2(sK16_skl))
| ~ v17_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f271,f336]) ).
fof(f1856,plain,
( v13_lattices(k1_lattice2(sK15_skl))
| ~ v17_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f271,f322]) ).
fof(f1857,plain,
( v13_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f271,f824]) ).
fof(f1859,plain,
( v13_lattices(k1_lattice2(sK14_skl))
| ~ v17_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f271,f307]) ).
fof(f1862,definition,
( sQ249_spl
<=> v13_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1865,plain,
( sQ249_spl
| ~ sQ193_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1855,f1527,f1534,f1553,f1862]) ).
fof(f1866,definition,
( sQ250_spl
<=> v13_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1869,plain,
( sQ250_spl
| ~ sQ110_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1856,f1064,f1090,f1067,f1866]) ).
fof(f1870,definition,
( sQ251_spl
<=> v13_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1873,plain,
( sQ251_spl
| ~ sQ76_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1857,f991,f1014,f873,f1870]) ).
fof(f1875,definition,
( sQ252_spl
<=> v13_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1878,plain,
( sQ252_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1859,f577,f580,f583,f1875]) ).
fof(f1884,plain,
( v14_lattices(k1_lattice2(sK16_skl))
| ~ v17_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f272,f336]) ).
fof(f1885,plain,
( v14_lattices(k1_lattice2(sK15_skl))
| ~ v17_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f272,f322]) ).
fof(f1886,plain,
( v14_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f272,f824]) ).
fof(f1888,plain,
( v14_lattices(k1_lattice2(sK14_skl))
| ~ v17_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f272,f307]) ).
fof(f1891,definition,
( sQ254_spl
<=> v14_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1894,plain,
( sQ254_spl
| ~ sQ193_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1884,f1527,f1534,f1553,f1891]) ).
fof(f1895,definition,
( sQ255_spl
<=> v14_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
( sQ255_spl
| ~ sQ110_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1885,f1064,f1090,f1067,f1895]) ).
fof(f1899,definition,
( sQ256_spl
<=> v14_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1902,plain,
( sQ256_spl
| ~ sQ76_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1886,f991,f1014,f873,f1899]) ).
fof(f1904,definition,
( sQ257_spl
<=> v14_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
( sQ257_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1888,f577,f580,f583,f1904]) ).
fof(f1913,plain,
( v15_lattices(k1_lattice2(sK16_skl))
| ~ v17_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f273,f336]) ).
fof(f1914,plain,
( v15_lattices(k1_lattice2(sK15_skl))
| ~ v17_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f273,f322]) ).
fof(f1915,plain,
( v15_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f273,f824]) ).
fof(f1917,plain,
( v15_lattices(k1_lattice2(sK14_skl))
| ~ v17_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f273,f307]) ).
fof(f1920,definition,
( sQ259_spl
<=> v15_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ259_spl
| ~ sQ193_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1913,f1527,f1534,f1553,f1920]) ).
fof(f1924,definition,
( sQ260_spl
<=> v15_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( sQ260_spl
| ~ sQ110_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1914,f1064,f1090,f1067,f1924]) ).
fof(f1928,definition,
( sQ261_spl
<=> v15_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1931,plain,
( sQ261_spl
| ~ sQ76_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1915,f991,f1014,f873,f1928]) ).
fof(f1933,definition,
( sQ262_spl
<=> v15_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1936,plain,
( sQ262_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1917,f577,f580,f583,f1933]) ).
fof(f1942,plain,
( v16_lattices(k1_lattice2(sK16_skl))
| ~ v17_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f274,f336]) ).
fof(f1943,plain,
( v16_lattices(k1_lattice2(sK15_skl))
| ~ v17_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f274,f322]) ).
fof(f1944,plain,
( v16_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f274,f824]) ).
fof(f1946,plain,
( v16_lattices(k1_lattice2(sK14_skl))
| ~ v17_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f274,f307]) ).
fof(f1949,definition,
( sQ264_spl
<=> v16_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1952,plain,
( sQ264_spl
| ~ sQ193_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1942,f1527,f1534,f1553,f1949]) ).
fof(f1953,definition,
( sQ265_spl
<=> v16_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( sQ265_spl
| ~ sQ110_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1943,f1064,f1090,f1067,f1953]) ).
fof(f1957,definition,
( sQ266_spl
<=> v16_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1960,plain,
( sQ266_spl
| ~ sQ76_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1944,f991,f1014,f873,f1957]) ).
fof(f1962,definition,
( sQ267_spl
<=> v16_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1965,plain,
( sQ267_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1946,f577,f580,f583,f1962]) ).
fof(f1973,plain,
( ~ sQ170_spl
| m1_subset_1(sK11_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1415,f198]) ).
fof(f1974,definition,
( sQ269_spl
<=> m1_subset_1(sK11_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1977,plain,
( ~ sQ170_spl
| sQ269_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f1973,f471,f482,f474,f1974,f1414]) ).
fof(f1980,plain,
( ~ sQ127_spl
| ~ v1_xboole_0(u1_struct_0(sK0_skl))
| v1_xboole_0(sK1_skl) ),
inference(resolution,[status(thm)],[f1407,f1143]) ).
fof(f1982,plain,
( ~ sQ127_spl
| ~ sQ13_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1980,f513,f530,f1142]) ).
fof(f1983,plain,
( ~ sQ160_spl
| m1_subset_1(sK10_skl(sK7_skl(sK0_skl)),u1_struct_0(sK0_skl))
| v1_xboole_0(sK7_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f1408,f1359]) ).
fof(f1985,plain,
( ~ sQ127_spl
| m1_subset_1(sK10_skl(sK1_skl),u1_struct_0(sK0_skl))
| v1_xboole_0(sK1_skl) ),
inference(resolution,[status(thm)],[f1408,f1143]) ).
fof(f1986,definition,
( sQ270_spl
<=> m1_subset_1(sK10_skl(sK7_skl(sK0_skl)),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( ~ sQ160_spl
| sQ270_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1983,f1362,f1986,f1358]) ).
fof(f1990,definition,
( sQ271_spl
<=> m1_subset_1(sK10_skl(sK1_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( ~ sQ127_spl
| sQ271_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1985,f513,f1990,f1142]) ).
fof(f1994,plain,
( ~ sQ171_spl
| m2_lattice4(k15_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1419,f193]) ).
fof(f1995,plain,
( ~ sQ171_spl
| ~ v1_xboole_0(k15_filter_2(sK0_skl,sK11_skl(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1419,f192]) ).
fof(f1996,definition,
( sQ272_spl
<=> m2_lattice4(k15_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1999,plain,
( ~ sQ171_spl
| sQ272_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1994,f839,f862,f815,f1996,f1418]) ).
fof(f2000,definition,
( sQ273_spl
<=> v1_xboole_0(k15_filter_2(sK0_skl,sK11_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2003,plain,
( ~ sQ171_spl
| ~ sQ273_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1995,f839,f862,f815,f2000,f1418]) ).
fof(f2004,plain,
( v1_relat_1(u1_lattices(k1_lattice2(sK0_skl)))
| ~ v6_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f277,f923]) ).
fof(f2005,plain,
( v1_relat_1(u1_lattices(sK0_skl))
| ~ v6_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f277,f926]) ).
fof(f2007,definition,
( sQ274_spl
<=> v1_relat_1(u1_lattices(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2010,plain,
( sQ274_spl
| ~ sQ78_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2004,f839,f881,f2007]) ).
fof(f2011,definition,
( sQ275_spl
<=> v1_relat_1(u1_lattices(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2014,plain,
( sQ275_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2005,f471,f501,f2011]) ).
fof(f2025,plain,
( v1_binop_1(u1_lattices(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ v6_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f280,f923]) ).
fof(f2026,plain,
( v1_binop_1(u1_lattices(sK0_skl),u1_struct_0(sK0_skl))
| ~ v6_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f280,f926]) ).
fof(f2028,definition,
( sQ279_spl
<=> v1_binop_1(u1_lattices(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2031,plain,
( sQ279_spl
| ~ sQ78_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2025,f839,f881,f2028]) ).
fof(f2032,definition,
( sQ280_spl
<=> v1_binop_1(u1_lattices(sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2035,plain,
( sQ280_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2026,f471,f501,f2032]) ).
fof(f2040,plain,
( v1_partfun1(u1_lattices(k1_lattice2(sK0_skl)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ v6_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f281,f923]) ).
fof(f2041,plain,
( v1_partfun1(u1_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl))
| ~ v6_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f281,f926]) ).
fof(f2043,definition,
( sQ282_spl
<=> v1_partfun1(u1_lattices(k1_lattice2(sK0_skl)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
( sQ282_spl
| ~ sQ78_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2040,f839,f881,f2043]) ).
fof(f2047,definition,
( sQ283_spl
<=> v1_partfun1(u1_lattices(sK0_skl),k2_zfmisc_1(u1_struct_0(sK0_skl),u1_struct_0(sK0_skl)),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( sQ283_spl
| ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2041,f471,f501,f2047]) ).
fof(f2064,plain,
( v2_binop_1(u1_lattices(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ v7_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f288,f923]) ).
fof(f2065,plain,
( v2_binop_1(u1_lattices(sK0_skl),u1_struct_0(sK0_skl))
| ~ v7_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f288,f926]) ).
fof(f2067,definition,
( sQ286_spl
<=> v2_binop_1(u1_lattices(k1_lattice2(sK0_skl)),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2070,plain,
( sQ286_spl
| ~ sQ77_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2064,f839,f877,f2067]) ).
fof(f2071,definition,
( sQ287_spl
<=> v2_binop_1(u1_lattices(sK0_skl),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2074,plain,
( sQ287_spl
| ~ sQ9_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2065,f471,f506,f2071]) ).
fof(f2082,plain,
( ~ sQ173_spl
| m1_subset_1(k7_filter_2(sK0_skl,sK12_skl(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1428,f178]) ).
fof(f2083,plain,
( ~ sQ173_spl
| k7_filter_2(sK0_skl,sK12_skl(sK0_skl)) = sK12_skl(sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f1428,f166]) ).
fof(f2086,plain,
( ~ sQ173_spl
| r2_hidden(sK12_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f1428,f434]) ).
fof(f2094,definition,
( sQ291_spl
<=> m1_subset_1(k7_filter_2(sK0_skl,sK12_skl(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2097,plain,
( ~ sQ173_spl
| sQ291_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2082,f471,f482,f474,f2094,f1427]) ).
fof(f2098,definition,
( sQ292_spl
<=> k7_filter_2(sK0_skl,sK12_skl(sK0_skl)) = sK12_skl(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2101,plain,
( ~ sQ173_spl
| sQ292_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2083,f471,f482,f474,f2098,f1427]) ).
fof(f2107,definition,
( sQ294_spl
<=> r2_hidden(sK12_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2110,plain,
( ~ sQ173_spl
| sQ294_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2086,f1174,f2107,f1427]) ).
fof(f2112,plain,
( ~ sQ83_spl
| m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl)),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f906,f176]) ).
fof(f2113,plain,
( ~ sQ83_spl
| k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl)) = k7_lattices(k1_lattice2(sK0_skl),sK2_skl)
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f906,f164]) ).
fof(f2114,plain,
( ~ sQ83_spl
| m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl)),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f906,f180]) ).
fof(f2115,plain,
( ~ sQ83_spl
| r2_hidden(k7_lattices(k1_lattice2(sK0_skl),sK2_skl),u1_struct_0(k1_lattice2(sK0_skl)))
| v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f906,f434]) ).
fof(f2116,definition,
( sQ295_spl
<=> m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl)),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2119,plain,
( ~ sQ83_spl
| sQ295_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2112,f839,f862,f815,f2116,f905]) ).
fof(f2120,definition,
( sQ296_spl
<=> k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl)) = k7_lattices(k1_lattice2(sK0_skl),sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2123,plain,
( ~ sQ83_spl
| sQ296_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2113,f839,f862,f815,f2120,f905]) ).
fof(f2124,definition,
( sQ297_spl
<=> m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl)),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2127,plain,
( ~ sQ83_spl
| sQ297_spl
| ~ sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2114,f839,f815,f2124,f905]) ).
fof(f2128,definition,
( sQ298_spl
<=> r2_hidden(k7_lattices(k1_lattice2(sK0_skl),sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2131,plain,
( ~ sQ83_spl
| sQ298_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2115,f909,f2128,f905]) ).
fof(f2140,plain,
( ~ sQ166_spl
| m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl))))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1391,f176]) ).
fof(f2141,plain,
( ~ sQ166_spl
| k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl))))) = k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1391,f164]) ).
fof(f2142,plain,
( ~ sQ166_spl
| m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl))))),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1391,f180]) ).
fof(f2143,plain,
( ~ sQ166_spl
| r2_hidden(k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(sK0_skl)))
| v1_xboole_0(u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f1391,f434]) ).
fof(f2144,definition,
( sQ301_spl
<=> m1_subset_1(k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl))))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2147,plain,
( ~ sQ166_spl
| sQ301_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2140,f839,f862,f815,f2144,f1390]) ).
fof(f2148,definition,
( sQ302_spl
<=> k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl))))) = k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2151,plain,
( ~ sQ166_spl
| sQ302_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2141,f839,f862,f815,f2148,f1390]) ).
fof(f2152,definition,
( sQ303_spl
<=> m1_subset_1(k7_lattices(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl))))),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2155,plain,
( ~ sQ166_spl
| sQ303_spl
| ~ sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2142,f839,f815,f2152,f1390]) ).
fof(f2156,definition,
( sQ304_spl
<=> r2_hidden(k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2159,plain,
( ~ sQ166_spl
| sQ304_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2143,f909,f2156,f1390]) ).
fof(f2165,plain,
( ~ sQ187_spl
| m1_subset_1(k5_filter_2(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl)))),u1_struct_0(k1_lattice2(sK16_skl)))
| ~ l3_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f1531,f176]) ).
fof(f2166,plain,
( ~ sQ187_spl
| k5_filter_2(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl)))) = k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl)))
| ~ l3_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f1531,f164]) ).
fof(f2167,plain,
( ~ sQ187_spl
| m1_subset_1(k7_lattices(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl)))),u1_struct_0(sK16_skl))
| ~ l3_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f1531,f180]) ).
fof(f2168,plain,
( ~ sQ187_spl
| r2_hidden(k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))),u1_struct_0(sK16_skl))
| v1_xboole_0(u1_struct_0(sK16_skl)) ),
inference(resolution,[status(thm)],[f1531,f434]) ).
fof(f2169,definition,
( sQ305_spl
<=> m1_subset_1(k5_filter_2(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl)))),u1_struct_0(k1_lattice2(sK16_skl))) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2172,plain,
( ~ sQ187_spl
| sQ305_spl
| ~ sQ235_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2165,f1527,f1534,f1782,f2169,f1530]) ).
fof(f2173,definition,
( sQ306_spl
<=> k5_filter_2(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl)))) = k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2176,plain,
( ~ sQ187_spl
| sQ306_spl
| ~ sQ235_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2166,f1527,f1534,f1782,f2173,f1530]) ).
fof(f2177,definition,
( sQ307_spl
<=> m1_subset_1(k7_lattices(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl)))),u1_struct_0(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2180,plain,
( ~ sQ187_spl
| sQ307_spl
| ~ sQ235_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2167,f1527,f1782,f2177,f1530]) ).
fof(f2181,definition,
( sQ308_spl
<=> v1_xboole_0(u1_struct_0(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2182,plain,
( ~ sQ308_spl
| v1_xboole_0(u1_struct_0(sK16_skl)) ),
inference(component_clause,[status(thm)],[f2181]) ).
fof(f2184,definition,
( sQ309_spl
<=> r2_hidden(k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))),u1_struct_0(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2187,plain,
( ~ sQ187_spl
| sQ309_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f2168,f2181,f2184,f1530]) ).
fof(f2197,plain,
( v4_lattices(k1_lattice2(sK16_skl))
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f293,f336]) ).
fof(f2198,plain,
( v4_lattices(k1_lattice2(sK15_skl))
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f293,f322]) ).
fof(f2199,plain,
( v4_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f293,f824]) ).
fof(f2200,plain,
( v4_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f293,f799]) ).
fof(f2201,plain,
( v4_lattices(k1_lattice2(sK14_skl))
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f293,f307]) ).
fof(f2203,plain,
( v4_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f293,f104]) ).
fof(f2204,definition,
( sQ310_spl
<=> v4_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2207,plain,
( sQ310_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2197,f1527,f1534,f2204]) ).
fof(f2208,definition,
( sQ311_spl
<=> v4_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2211,plain,
( sQ311_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2198,f1064,f1090,f2208]) ).
fof(f2212,definition,
( sQ312_spl
<=> v4_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f2215,plain,
( sQ312_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2199,f991,f1014,f2212]) ).
fof(f2216,plain,
( sQ108_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2200,f839,f862,f1041]) ).
fof(f2217,definition,
( sQ313_spl
<=> v4_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f2220,plain,
( sQ313_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2201,f577,f580,f2217]) ).
fof(f2225,plain,
( sQ80_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2203,f471,f482,f889]) ).
fof(f2226,plain,
( v5_lattices(k1_lattice2(sK16_skl))
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f294,f336]) ).
fof(f2227,plain,
( v5_lattices(k1_lattice2(sK15_skl))
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f294,f322]) ).
fof(f2228,plain,
( v5_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f294,f824]) ).
fof(f2229,plain,
( v5_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f294,f799]) ).
fof(f2230,plain,
( v5_lattices(k1_lattice2(sK14_skl))
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f294,f307]) ).
fof(f2232,plain,
( v5_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f294,f104]) ).
fof(f2233,definition,
( sQ315_spl
<=> v5_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2236,plain,
( sQ315_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2226,f1527,f1534,f2233]) ).
fof(f2237,definition,
( sQ316_spl
<=> v5_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2240,plain,
( sQ316_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2227,f1064,f1090,f2237]) ).
fof(f2241,definition,
( sQ317_spl
<=> v5_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2244,plain,
( sQ317_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2228,f991,f1014,f2241]) ).
fof(f2245,plain,
( sQ107_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2229,f839,f862,f1037]) ).
fof(f2246,definition,
( sQ318_spl
<=> v5_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f2249,plain,
( sQ318_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2230,f577,f580,f2246]) ).
fof(f2254,plain,
( sQ79_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2232,f471,f482,f885]) ).
fof(f2255,plain,
( v6_lattices(k1_lattice2(sK16_skl))
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f295,f336]) ).
fof(f2256,plain,
( v6_lattices(k1_lattice2(sK15_skl))
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f295,f322]) ).
fof(f2257,plain,
( v6_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f295,f824]) ).
fof(f2258,plain,
( v6_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f295,f799]) ).
fof(f2259,plain,
( v6_lattices(k1_lattice2(sK14_skl))
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f295,f307]) ).
fof(f2261,plain,
( v6_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f295,f104]) ).
fof(f2262,definition,
( sQ320_spl
<=> v6_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2265,plain,
( sQ320_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2255,f1527,f1534,f2262]) ).
fof(f2266,definition,
( sQ321_spl
<=> v6_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2269,plain,
( sQ321_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2256,f1064,f1090,f2266]) ).
fof(f2270,definition,
( sQ322_spl
<=> v6_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2273,plain,
( sQ322_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2257,f991,f1014,f2270]) ).
fof(f2274,plain,
( sQ106_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2258,f839,f862,f1033]) ).
fof(f2275,definition,
( sQ323_spl
<=> v6_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2278,plain,
( sQ323_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2259,f577,f580,f2275]) ).
fof(f2283,plain,
( sQ78_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2261,f471,f482,f881]) ).
fof(f2284,plain,
( v7_lattices(k1_lattice2(sK16_skl))
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f296,f336]) ).
fof(f2285,plain,
( v7_lattices(k1_lattice2(sK15_skl))
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f296,f322]) ).
fof(f2286,plain,
( v7_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f296,f824]) ).
fof(f2287,plain,
( v7_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f296,f799]) ).
fof(f2288,plain,
( v7_lattices(k1_lattice2(sK14_skl))
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f296,f307]) ).
fof(f2290,plain,
( v7_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f296,f104]) ).
fof(f2291,definition,
( sQ325_spl
<=> v7_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2294,plain,
( sQ325_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2284,f1527,f1534,f2291]) ).
fof(f2295,definition,
( sQ326_spl
<=> v7_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2298,plain,
( sQ326_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2285,f1064,f1090,f2295]) ).
fof(f2299,definition,
( sQ327_spl
<=> v7_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2302,plain,
( sQ327_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2286,f991,f1014,f2299]) ).
fof(f2303,plain,
( sQ105_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2287,f839,f862,f1029]) ).
fof(f2304,definition,
( sQ328_spl
<=> v7_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2307,plain,
( sQ328_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2288,f577,f580,f2304]) ).
fof(f2312,plain,
( sQ77_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2290,f471,f482,f877]) ).
fof(f2313,plain,
( v8_lattices(k1_lattice2(sK16_skl))
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f297,f336]) ).
fof(f2314,plain,
( v8_lattices(k1_lattice2(sK15_skl))
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f297,f322]) ).
fof(f2315,plain,
( v8_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f297,f824]) ).
fof(f2316,plain,
( v8_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f297,f799]) ).
fof(f2317,plain,
( v8_lattices(k1_lattice2(sK14_skl))
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f297,f307]) ).
fof(f2319,plain,
( v8_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f297,f104]) ).
fof(f2320,definition,
( sQ330_spl
<=> v8_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f2323,plain,
( sQ330_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2313,f1527,f1534,f2320]) ).
fof(f2324,definition,
( sQ331_spl
<=> v8_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f2327,plain,
( sQ331_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2314,f1064,f1090,f2324]) ).
fof(f2328,definition,
( sQ332_spl
<=> v8_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f2331,plain,
( sQ332_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2315,f991,f1014,f2328]) ).
fof(f2332,plain,
( sQ103_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2316,f839,f862,f1021]) ).
fof(f2333,definition,
( sQ333_spl
<=> v8_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f2336,plain,
( sQ333_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2317,f577,f580,f2333]) ).
fof(f2341,plain,
( sQ75_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2319,f471,f482,f869]) ).
fof(f2342,plain,
( ~ sQ228_spl
| ~ l1_struct_0(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f1750,f241]) ).
fof(f2344,definition,
( sQ335_spl
<=> l1_struct_0(sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
( sQ335_spl
| ~ l1_struct_0(sK14_skl) ),
inference(component_clause,[status(thm)],[f2344]) ).
fof(f2347,plain,
( ~ sQ228_spl
| ~ sQ335_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2342,f577,f2344,f1749]) ).
fof(f2348,plain,
( v15_lattices(sK16_skl)
| ~ v13_lattices(sK16_skl)
| v3_struct_0(sK16_skl)
| ~ l3_lattices(sK16_skl) ),
inference(resolution,[status(thm)],[f347,f136]) ).
fof(f2349,plain,
( sQ195_spl
| ~ sQ197_spl
| sQ186_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f2348,f1782,f1527,f1568,f1560]) ).
fof(f2350,plain,
( v14_lattices(sK16_skl)
| v3_struct_0(sK16_skl)
| ~ l3_lattices(sK16_skl) ),
inference(resolution,[status(thm)],[f348,f140]) ).
fof(f2351,plain,
( v13_lattices(sK16_skl)
| v3_struct_0(sK16_skl)
| ~ l3_lattices(sK16_skl) ),
inference(resolution,[status(thm)],[f348,f139]) ).
fof(f2352,plain,
( sQ196_spl
| sQ186_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f2350,f1782,f1527,f1564]) ).
fof(f2353,plain,
( sQ197_spl
| sQ186_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f2351,f1782,f1527,f1568]) ).
fof(f2354,plain,
( v9_lattices(k1_lattice2(sK16_skl))
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f298,f336]) ).
fof(f2355,plain,
( v9_lattices(k1_lattice2(sK15_skl))
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f298,f322]) ).
fof(f2356,plain,
( v9_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f298,f824]) ).
fof(f2357,plain,
( v9_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f298,f799]) ).
fof(f2358,plain,
( v9_lattices(k1_lattice2(sK14_skl))
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f298,f307]) ).
fof(f2360,plain,
( v9_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f298,f104]) ).
fof(f2361,definition,
( sQ336_spl
<=> v9_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f2364,plain,
( sQ336_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2354,f1527,f1534,f2361]) ).
fof(f2365,definition,
( sQ337_spl
<=> v9_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f2368,plain,
( sQ337_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2355,f1064,f1090,f2365]) ).
fof(f2369,definition,
( sQ338_spl
<=> v9_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f2372,plain,
( sQ338_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2356,f991,f1014,f2369]) ).
fof(f2373,plain,
( sQ102_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2357,f839,f862,f1017]) ).
fof(f2374,definition,
( sQ339_spl
<=> v9_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f2377,plain,
( sQ339_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2358,f577,f580,f2374]) ).
fof(f2382,plain,
( sQ74_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2360,f471,f482,f865]) ).
fof(f2383,plain,
( v10_lattices(k1_lattice2(sK16_skl))
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f299,f336]) ).
fof(f2384,plain,
( v10_lattices(k1_lattice2(sK15_skl))
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f299,f322]) ).
fof(f2385,plain,
( v10_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f299,f824]) ).
fof(f2386,plain,
( v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f299,f799]) ).
fof(f2387,plain,
( v10_lattices(k1_lattice2(sK14_skl))
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f299,f307]) ).
fof(f2390,definition,
( sQ341_spl
<=> v10_lattices(k1_lattice2(sK16_skl)) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f2393,plain,
( sQ341_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2383,f1527,f1534,f2390]) ).
fof(f2394,definition,
( sQ342_spl
<=> v10_lattices(k1_lattice2(sK15_skl)) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f2397,plain,
( sQ342_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2384,f1064,f1090,f2394]) ).
fof(f2398,definition,
( sQ343_spl
<=> v10_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2401,plain,
( sQ343_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2385,f991,f1014,f2398]) ).
fof(f2402,plain,
( sQ101_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2386,f839,f862,f1014]) ).
fof(f2403,definition,
( sQ344_spl
<=> v10_lattices(k1_lattice2(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f2406,plain,
( sQ344_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2387,f577,f580,f2403]) ).
fof(f2412,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| m1_subset_1(sK2_skl,u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
inference(backward_demodulation,[status(thm)],[f902,f898]) ).
fof(f2420,plain,
( ~ sQ187_spl
| k7_lattices(k1_lattice2(sK16_skl),k5_filter_2(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))))) = k7_lattices(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))))
| ~ l3_lattices(sK16_skl)
| ~ v17_lattices(sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f305,f1531]) ).
fof(f2421,plain,
( ~ sQ166_spl
| k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))))) = k7_lattices(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f305,f1391]) ).
fof(f2422,plain,
( ~ sQ83_spl
| k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl))) = k7_lattices(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f305,f906]) ).
fof(f2423,plain,
( ~ sQ164_spl
| k7_lattices(k1_lattice2(sK15_skl),k5_filter_2(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))))) = k7_lattices(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))))
| ~ l3_lattices(sK15_skl)
| ~ v17_lattices(sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f305,f1383]) ).
fof(f2424,plain,
( ~ sQ167_spl
| k7_lattices(k1_lattice2(sK14_skl),k5_filter_2(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))))) = k7_lattices(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))))
| ~ l3_lattices(sK14_skl)
| ~ v17_lattices(sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f305,f1395]) ).
fof(f2425,plain,
( ~ sQ169_spl
| k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))))
| ~ l3_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f305,f1403]) ).
fof(f2426,plain,
( ~ sQ37_spl
| k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f305,f643]) ).
fof(f2427,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl))) = k7_lattices(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f305,f810]) ).
fof(f2428,plain,
( ~ sQ4_spl
| k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))
| ~ l3_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f305,f478]) ).
fof(f2429,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),k5_filter_2(k1_lattice2(sK0_skl),sK2_skl)) = k7_lattices(k1_lattice2(sK0_skl),sK2_skl)
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f305,f811]) ).
fof(f2430,plain,
( k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,sK2_skl)
| ~ l3_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f305,f107]) ).
fof(f2431,definition,
( sQ346_spl
<=> k7_lattices(k1_lattice2(sK16_skl),k5_filter_2(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl))))) = k7_lattices(sK16_skl,k7_lattices(sK16_skl,sK10_skl(u1_struct_0(sK16_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f2434,plain,
( ~ sQ187_spl
| sQ346_spl
| ~ sQ235_spl
| ~ sQ193_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2420,f1527,f1534,f1553,f1782,f2431,f1530]) ).
fof(f2435,definition,
( sQ347_spl
<=> k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl)))))) = k7_lattices(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK10_skl(u1_struct_0(k1_lattice2(sK0_skl))))) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f2438,plain,
( ~ sQ166_spl
| sQ347_spl
| ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2421,f839,f862,f521,f815,f2435,f1390]) ).
fof(f2439,definition,
( sQ348_spl
<=> k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl))) = k7_lattices(k1_lattice2(sK0_skl),k7_lattices(k1_lattice2(sK0_skl),sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f2442,plain,
( ~ sQ83_spl
| sQ348_spl
| ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2422,f839,f862,f521,f815,f2439,f905]) ).
fof(f2443,definition,
( sQ349_spl
<=> k7_lattices(k1_lattice2(sK15_skl),k5_filter_2(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl))))) = k7_lattices(sK15_skl,k7_lattices(sK15_skl,sK10_skl(u1_struct_0(sK15_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f2446,plain,
( ~ sQ164_spl
| sQ349_spl
| ~ sQ134_spl
| ~ sQ110_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2423,f1064,f1090,f1067,f1185,f2443,f1382]) ).
fof(f2447,definition,
( sQ350_spl
<=> k7_lattices(k1_lattice2(sK14_skl),k5_filter_2(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl))))) = k7_lattices(sK14_skl,k7_lattices(sK14_skl,sK10_skl(u1_struct_0(sK14_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2450,plain,
( ~ sQ167_spl
| sQ350_spl
| ~ sQ41_spl
| ~ sQ25_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2424,f577,f580,f583,f665,f2447,f1394]) ).
fof(f2451,definition,
( sQ351_spl
<=> k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl))))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK10_skl(u1_struct_0(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f2454,plain,
( ~ sQ169_spl
| sQ351_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2425,f471,f482,f518,f474,f2451,f1402]) ).
fof(f2455,definition,
( sQ352_spl
<=> k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f2458,plain,
( ~ sQ37_spl
| sQ352_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2426,f471,f482,f518,f474,f2455,f642]) ).
fof(f2459,definition,
( sQ353_spl
<=> k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),k5_filter_2(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl))) = k7_lattices(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f2462,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| sQ353_spl
| ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2427,f839,f862,f521,f815,f2459,f763,f802]) ).
fof(f2463,definition,
( sQ354_spl
<=> k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f2464,plain,
( ~ sQ354_spl
| k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,sK2_skl))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)) ),
inference(component_clause,[status(thm)],[f2463]) ).
fof(f2466,plain,
( ~ sQ4_spl
| sQ354_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2428,f471,f482,f518,f474,f2463,f477]) ).
fof(f2467,definition,
( sQ355_spl
<=> k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),k5_filter_2(k1_lattice2(sK0_skl),sK2_skl)) = k7_lattices(k1_lattice2(sK0_skl),sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f2470,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| sQ355_spl
| ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2429,f839,f862,f521,f815,f2467,f767,f806]) ).
fof(f2471,definition,
( sQ356_spl
<=> k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f2472,plain,
( ~ sQ356_spl
| k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f2471]) ).
fof(f2474,plain,
( sQ356_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2430,f471,f482,f518,f474,f2471]) ).
fof(f2477,plain,
( ~ sQ354_spl
| ~ sQ58_spl
| k7_lattices(k1_lattice2(sK0_skl),k7_lattices(sK0_skl,sK2_skl)) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)) ),
inference(forward_demodulation,[status(thm)],[f764,f2464]) ).
fof(f2491,plain,
( ~ sQ356_spl
| ~ sQ59_spl
| k7_lattices(k1_lattice2(sK0_skl),sK2_skl) = k7_lattices(sK0_skl,sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f768,f2472]) ).
fof(f2509,plain,
( ~ sQ233_spl
| ~ l1_struct_0(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f1774,f241]) ).
fof(f2511,definition,
( sQ359_spl
<=> l1_struct_0(sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f2514,plain,
( ~ sQ233_spl
| ~ sQ359_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2509,f1064,f2511,f1773]) ).
fof(f2515,plain,
( v17_lattices(sK16_skl)
| ~ v15_lattices(sK16_skl)
| ~ v11_lattices(sK16_skl)
| v3_struct_0(sK16_skl)
| ~ l3_lattices(sK16_skl) ),
inference(resolution,[status(thm)],[f349,f150]) ).
fof(f2516,plain,
( sQ193_spl
| ~ sQ195_spl
| ~ sQ198_spl
| sQ186_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f2515,f1782,f1527,f1572,f1560,f1553]) ).
fof(f2518,plain,
( v10_lattices(k1_lattice2(sK17_skl))
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f299]) ).
fof(f2519,plain,
( v9_lattices(k1_lattice2(sK17_skl))
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f298]) ).
fof(f2520,plain,
( v8_lattices(k1_lattice2(sK17_skl))
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f297]) ).
fof(f2521,plain,
( v7_lattices(k1_lattice2(sK17_skl))
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f296]) ).
fof(f2522,plain,
( v6_lattices(k1_lattice2(sK17_skl))
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f295]) ).
fof(f2523,plain,
( v5_lattices(k1_lattice2(sK17_skl))
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f294]) ).
fof(f2524,plain,
( v4_lattices(k1_lattice2(sK17_skl))
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f293]) ).
fof(f2525,plain,
( v16_lattices(k1_lattice2(sK17_skl))
| ~ v17_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f274]) ).
fof(f2526,plain,
( v15_lattices(k1_lattice2(sK17_skl))
| ~ v17_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f273]) ).
fof(f2527,plain,
( v14_lattices(k1_lattice2(sK17_skl))
| ~ v17_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f272]) ).
fof(f2528,plain,
( v13_lattices(k1_lattice2(sK17_skl))
| ~ v17_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f271]) ).
fof(f2529,plain,
( v12_lattices(k1_lattice2(sK17_skl))
| ~ v17_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f270]) ).
fof(f2530,plain,
( v11_lattices(k1_lattice2(sK17_skl))
| ~ v17_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f269]) ).
fof(f2531,plain,
( m1_subset_1(k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))),u1_struct_0(sK17_skl))
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f1290]) ).
fof(f2532,plain,
( m2_lattice4(sK12_skl(sK17_skl),sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f232]) ).
fof(f2533,plain,
( m2_filter_2(sK11_skl(sK17_skl),sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f229]) ).
fof(f2534,plain,
( m1_filter_2(sK8_skl(sK17_skl),sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f222]) ).
fof(f2535,plain,
( m1_filter_0(sK7_skl(sK17_skl),sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f219]) ).
fof(f2541,plain,
( v16_lattices(sK17_skl)
| ~ v17_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f147]) ).
fof(f2542,plain,
( v15_lattices(sK17_skl)
| ~ v17_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f146]) ).
fof(f2543,plain,
( v14_lattices(sK17_skl)
| ~ v17_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f145]) ).
fof(f2544,plain,
( v13_lattices(sK17_skl)
| ~ v17_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f144]) ).
fof(f2545,plain,
( v11_lattices(sK17_skl)
| ~ v17_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f143]) ).
fof(f2546,plain,
( v9_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f123]) ).
fof(f2547,plain,
( v8_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f122]) ).
fof(f2548,plain,
( v17_lattices(k1_lattice2(sK17_skl))
| ~ v17_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f275]) ).
fof(f2549,plain,
( v7_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f121]) ).
fof(f2550,plain,
( v6_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f120]) ).
fof(f2551,plain,
( v5_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f119]) ).
fof(f2552,plain,
( v4_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f351,f118]) ).
fof(f2553,definition,
( sQ360_spl
<=> v3_struct_0(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f2554,plain,
( ~ sQ360_spl
| v3_struct_0(sK17_skl) ),
inference(component_clause,[status(thm)],[f2553]) ).
fof(f2556,definition,
( sQ361_spl
<=> v10_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f2558,plain,
( sQ361_spl
| ~ v10_lattices(sK17_skl) ),
inference(component_clause,[status(thm)],[f2556]) ).
fof(f2559,definition,
( sQ362_spl
<=> v10_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f2562,plain,
( sQ362_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2518,f2553,f2556,f2559]) ).
fof(f2563,definition,
( sQ363_spl
<=> v9_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f2566,plain,
( sQ363_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2519,f2553,f2556,f2563]) ).
fof(f2567,definition,
( sQ364_spl
<=> v8_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f2570,plain,
( sQ364_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2520,f2553,f2556,f2567]) ).
fof(f2571,definition,
( sQ365_spl
<=> v7_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f2574,plain,
( sQ365_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2521,f2553,f2556,f2571]) ).
fof(f2575,definition,
( sQ366_spl
<=> v6_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f2578,plain,
( sQ366_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2522,f2553,f2556,f2575]) ).
fof(f2579,definition,
( sQ367_spl
<=> v5_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f2582,plain,
( sQ367_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2523,f2553,f2556,f2579]) ).
fof(f2583,definition,
( sQ368_spl
<=> v4_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f2586,plain,
( sQ368_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2524,f2553,f2556,f2583]) ).
fof(f2587,definition,
( sQ369_spl
<=> v17_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f2589,plain,
( sQ369_spl
| ~ v17_lattices(sK17_skl) ),
inference(component_clause,[status(thm)],[f2587]) ).
fof(f2590,definition,
( sQ370_spl
<=> v16_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f2593,plain,
( sQ370_spl
| ~ sQ369_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2525,f2553,f2556,f2587,f2590]) ).
fof(f2594,definition,
( sQ371_spl
<=> v15_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f2597,plain,
( sQ371_spl
| ~ sQ369_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2526,f2553,f2556,f2587,f2594]) ).
fof(f2598,definition,
( sQ372_spl
<=> v14_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f2601,plain,
( sQ372_spl
| ~ sQ369_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2527,f2553,f2556,f2587,f2598]) ).
fof(f2602,definition,
( sQ373_spl
<=> v13_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f2605,plain,
( sQ373_spl
| ~ sQ369_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2528,f2553,f2556,f2587,f2602]) ).
fof(f2606,definition,
( sQ374_spl
<=> v12_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f2609,plain,
( sQ374_spl
| ~ sQ369_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2529,f2553,f2556,f2587,f2606]) ).
fof(f2610,definition,
( sQ375_spl
<=> v11_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f2613,plain,
( sQ375_spl
| ~ sQ369_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2530,f2553,f2556,f2587,f2610]) ).
fof(f2614,definition,
( sQ376_spl
<=> m1_subset_1(k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))),u1_struct_0(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f2615,plain,
( ~ sQ376_spl
| m1_subset_1(k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))),u1_struct_0(sK17_skl)) ),
inference(component_clause,[status(thm)],[f2614]) ).
fof(f2617,plain,
( sQ376_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2531,f2553,f2614]) ).
fof(f2618,definition,
( sQ377_spl
<=> m2_lattice4(sK12_skl(sK17_skl),sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f2621,plain,
( sQ377_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2532,f2553,f2556,f2618]) ).
fof(f2622,definition,
( sQ378_spl
<=> m2_filter_2(sK11_skl(sK17_skl),sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f2625,plain,
( sQ378_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2533,f2553,f2556,f2622]) ).
fof(f2626,definition,
( sQ379_spl
<=> m1_filter_2(sK8_skl(sK17_skl),sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f2629,plain,
( sQ379_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2534,f2553,f2556,f2626]) ).
fof(f2630,definition,
( sQ380_spl
<=> m1_filter_0(sK7_skl(sK17_skl),sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f2633,plain,
( sQ380_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2535,f2553,f2556,f2630]) ).
fof(f2634,definition,
( sQ381_spl
<=> v16_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f2637,plain,
( sQ381_spl
| ~ sQ369_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2541,f2553,f2587,f2634]) ).
fof(f2638,definition,
( sQ382_spl
<=> v15_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f2641,plain,
( sQ382_spl
| ~ sQ369_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2542,f2553,f2587,f2638]) ).
fof(f2642,definition,
( sQ383_spl
<=> v14_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f2645,plain,
( sQ383_spl
| ~ sQ369_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2543,f2553,f2587,f2642]) ).
fof(f2646,definition,
( sQ384_spl
<=> v13_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f2649,plain,
( sQ384_spl
| ~ sQ369_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2544,f2553,f2587,f2646]) ).
fof(f2650,definition,
( sQ385_spl
<=> v11_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f2653,plain,
( sQ385_spl
| ~ sQ369_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2545,f2553,f2587,f2650]) ).
fof(f2654,definition,
( sQ386_spl
<=> v9_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f2657,plain,
( sQ386_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2546,f2553,f2556,f2654]) ).
fof(f2658,definition,
( sQ387_spl
<=> v8_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f2661,plain,
( sQ387_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2547,f2553,f2556,f2658]) ).
fof(f2662,definition,
( sQ388_spl
<=> v17_lattices(k1_lattice2(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f2665,plain,
( sQ388_spl
| ~ sQ369_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2548,f2553,f2556,f2587,f2662]) ).
fof(f2666,definition,
( sQ389_spl
<=> v7_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f2669,plain,
( sQ389_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2549,f2553,f2556,f2666]) ).
fof(f2670,definition,
( sQ390_spl
<=> v6_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f2673,plain,
( sQ390_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2550,f2553,f2556,f2670]) ).
fof(f2674,definition,
( sQ391_spl
<=> v5_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f2677,plain,
( sQ391_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2551,f2553,f2556,f2674]) ).
fof(f2678,definition,
( sQ392_spl
<=> v4_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f2681,plain,
( sQ392_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2552,f2553,f2556,f2678]) ).
fof(f2682,plain,
( ~ sQ360_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2554,f352]) ).
fof(f2683,plain,
~ sQ360_spl,
inference(contradiction_clause,[status(thm)],[f2682]) ).
fof(f2684,plain,
( sQ361_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2558,f360]) ).
fof(f2685,plain,
sQ361_spl,
inference(contradiction_clause,[status(thm)],[f2684]) ).
fof(f2686,plain,
( sQ369_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2589,f366]) ).
fof(f2687,plain,
sQ369_spl,
inference(contradiction_clause,[status(thm)],[f2686]) ).
fof(f2688,plain,
( sK17_skl = g3_lattices(u1_struct_0(sK17_skl),u2_lattices(sK17_skl),u1_lattices(sK17_skl))
| ~ l3_lattices(sK17_skl) ),
inference(resolution,[status(thm)],[f353,f111]) ).
fof(f2689,definition,
( sQ393_spl
<=> l3_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f2691,plain,
( sQ393_spl
| ~ l3_lattices(sK17_skl) ),
inference(component_clause,[status(thm)],[f2689]) ).
fof(f2692,definition,
( sQ394_spl
<=> sK17_skl = g3_lattices(u1_struct_0(sK17_skl),u2_lattices(sK17_skl),u1_lattices(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f2695,plain,
( sQ394_spl
| ~ sQ393_spl ),
inference(split_clause,[status(thm)],[f2688,f2689,f2692]) ).
fof(f2696,plain,
( sQ393_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2691,f351]) ).
fof(f2697,plain,
sQ393_spl,
inference(contradiction_clause,[status(thm)],[f2696]) ).
fof(f2699,plain,
( ~ sQ308_spl
| ~ l1_struct_0(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f2182,f241]) ).
fof(f2701,definition,
( sQ395_spl
<=> l1_struct_0(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f2704,plain,
( ~ sQ308_spl
| ~ sQ395_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2699,f1527,f2701,f2181]) ).
fof(f2707,plain,
( v12_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl)
| ~ l3_lattices(sK17_skl) ),
inference(resolution,[status(thm)],[f361,f160]) ).
fof(f2708,definition,
( sQ396_spl
<=> v12_lattices(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f2711,plain,
( sQ396_spl
| ~ sQ361_spl
| sQ360_spl
| ~ sQ393_spl ),
inference(split_clause,[status(thm)],[f2707,f2689,f2553,f2556,f2708]) ).
fof(f2728,plain,
( ~ sQ74_spl
| v10_lattices(k1_lattice2(sK0_skl))
| ~ v8_lattices(k1_lattice2(sK0_skl))
| ~ v7_lattices(k1_lattice2(sK0_skl))
| ~ v6_lattices(k1_lattice2(sK0_skl))
| ~ v5_lattices(k1_lattice2(sK0_skl))
| ~ v4_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f866,f133]) ).
fof(f2729,plain,
( ~ sQ74_spl
| sQ73_spl
| ~ sQ75_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| sQ67_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f2728,f815,f839,f889,f885,f881,f877,f869,f862,f865]) ).
fof(f2730,plain,
( ~ sQ125_spl
| m1_subset_1(k15_filter_2(sK0_skl,sK1_skl),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1132,f198]) ).
fof(f2731,definition,
( sQ399_spl
<=> m1_subset_1(k15_filter_2(sK0_skl,sK1_skl),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f2734,plain,
( ~ sQ125_spl
| sQ399_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2730,f839,f862,f815,f2731,f1131]) ).
fof(f2735,plain,
( ~ sQ138_spl
| m1_subset_1(sK7_skl(k1_lattice2(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1238,f190]) ).
fof(f2736,plain,
( ~ sQ138_spl
| ~ v1_xboole_0(sK7_skl(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1238,f189]) ).
fof(f2737,definition,
( sQ400_spl
<=> m1_subset_1(sK7_skl(k1_lattice2(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f2740,plain,
( ~ sQ138_spl
| sQ400_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2735,f839,f862,f815,f2737,f1237]) ).
fof(f2741,definition,
( sQ401_spl
<=> v1_xboole_0(sK7_skl(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f2744,plain,
( ~ sQ138_spl
| ~ sQ401_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2736,f839,f862,f815,f2741,f1237]) ).
fof(f2745,plain,
( ~ sQ144_spl
| m2_lattice4(sK8_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1268,f193]) ).
fof(f2746,plain,
( ~ sQ144_spl
| ~ v1_xboole_0(sK8_skl(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1268,f192]) ).
fof(f2747,definition,
( sQ402_spl
<=> m2_lattice4(sK8_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f2750,plain,
( ~ sQ144_spl
| sQ402_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2745,f839,f862,f815,f2747,f1267]) ).
fof(f2751,definition,
( sQ403_spl
<=> v1_xboole_0(sK8_skl(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f2754,plain,
( ~ sQ144_spl
| ~ sQ403_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2746,f839,f862,f815,f2751,f1267]) ).
fof(f2755,plain,
( ~ sQ150_spl
| m2_lattice4(sK11_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1307,f196]) ).
fof(f2756,plain,
( ~ sQ150_spl
| m1_filter_2(k15_filter_2(k1_lattice2(sK0_skl),sK11_skl(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1307,f171]) ).
fof(f2757,plain,
( ~ sQ150_spl
| ~ v1_xboole_0(sK11_skl(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1307,f195]) ).
fof(f2758,definition,
( sQ404_spl
<=> m2_lattice4(sK11_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f2761,plain,
( ~ sQ150_spl
| sQ404_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2755,f839,f862,f815,f2758,f1306]) ).
fof(f2762,definition,
( sQ405_spl
<=> m1_filter_2(k15_filter_2(k1_lattice2(sK0_skl),sK11_skl(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f2765,plain,
( ~ sQ150_spl
| sQ405_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2756,f839,f862,f815,f2762,f1306]) ).
fof(f2766,definition,
( sQ406_spl
<=> v1_xboole_0(sK11_skl(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
( ~ sQ150_spl
| ~ sQ406_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2757,f839,f862,f815,f2766,f1306]) ).
fof(f2771,plain,
( v2_funct_1(sK22_skl)
| ~ v1_xboole_0(sK22_skl) ),
inference(resolution,[status(thm)],[f381,f469]) ).
fof(f2772,definition,
( sQ407_spl
<=> v1_xboole_0(sK22_skl) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f2774,plain,
( sQ407_spl
| ~ v1_xboole_0(sK22_skl) ),
inference(component_clause,[status(thm)],[f2772]) ).
fof(f2775,definition,
( sQ408_spl
<=> v2_funct_1(sK22_skl) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f2778,plain,
( sQ408_spl
| ~ sQ407_spl ),
inference(split_clause,[status(thm)],[f2771,f2772,f2775]) ).
fof(f2779,plain,
( sQ407_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2774,f382]) ).
fof(f2780,plain,
sQ407_spl,
inference(contradiction_clause,[status(thm)],[f2779]) ).
fof(f2781,plain,
( m2_lattice4(sK19_skl(sK17_skl),sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f372,f351]) ).
fof(f2782,plain,
( m2_lattice4(sK19_skl(sK16_skl),sK16_skl)
| ~ v10_lattices(sK16_skl)
| v3_struct_0(sK16_skl) ),
inference(resolution,[status(thm)],[f372,f336]) ).
fof(f2783,plain,
( m2_lattice4(sK19_skl(sK15_skl),sK15_skl)
| ~ v10_lattices(sK15_skl)
| v3_struct_0(sK15_skl) ),
inference(resolution,[status(thm)],[f372,f322]) ).
fof(f2784,plain,
( m2_lattice4(sK19_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f372,f824]) ).
fof(f2785,plain,
( m2_lattice4(sK19_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f372,f799]) ).
fof(f2786,plain,
( m2_lattice4(sK19_skl(sK14_skl),sK14_skl)
| ~ v10_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f372,f307]) ).
fof(f2788,plain,
( m2_lattice4(sK19_skl(sK0_skl),sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f372,f104]) ).
fof(f2789,definition,
( sQ409_spl
<=> m2_lattice4(sK19_skl(sK17_skl),sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f2792,plain,
( sQ409_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f2781,f2553,f2556,f2789]) ).
fof(f2793,definition,
( sQ410_spl
<=> m2_lattice4(sK19_skl(sK16_skl),sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f2796,plain,
( sQ410_spl
| ~ sQ188_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2782,f1527,f1534,f2793]) ).
fof(f2797,definition,
( sQ411_spl
<=> m2_lattice4(sK19_skl(sK15_skl),sK15_skl) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f2800,plain,
( sQ411_spl
| ~ sQ116_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2783,f1064,f1090,f2797]) ).
fof(f2801,definition,
( sQ412_spl
<=> m2_lattice4(sK19_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_lattice2(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f2804,plain,
( sQ412_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2784,f991,f1014,f2801]) ).
fof(f2805,definition,
( sQ413_spl
<=> m2_lattice4(sK19_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f2806,plain,
( ~ sQ413_spl
| m2_lattice4(sK19_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f2805]) ).
fof(f2808,plain,
( sQ413_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2785,f839,f862,f2805]) ).
fof(f2809,definition,
( sQ414_spl
<=> m2_lattice4(sK19_skl(sK14_skl),sK14_skl) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f2812,plain,
( sQ414_spl
| ~ sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2786,f577,f580,f2809]) ).
fof(f2817,definition,
( sQ416_spl
<=> m2_lattice4(sK19_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f2818,plain,
( ~ sQ416_spl
| m2_lattice4(sK19_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f2817]) ).
fof(f2820,plain,
( sQ416_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2788,f471,f482,f2817]) ).
fof(f2832,plain,
( ~ sQ416_spl
| m1_subset_1(sK19_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f2818,f198]) ).
fof(f2833,definition,
( sQ417_spl
<=> m1_subset_1(sK19_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f2834,plain,
( ~ sQ417_spl
| m1_subset_1(sK19_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(component_clause,[status(thm)],[f2833]) ).
fof(f2836,plain,
( ~ sQ416_spl
| sQ417_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2832,f471,f482,f474,f2833,f2817]) ).
fof(f2837,plain,
( ~ sQ156_spl
| m1_subset_1(sK12_skl(k1_lattice2(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f1337,f198]) ).
fof(f2838,definition,
( sQ418_spl
<=> m1_subset_1(sK12_skl(k1_lattice2(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f2841,plain,
( ~ sQ156_spl
| sQ418_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2837,f839,f862,f815,f2838,f1336]) ).
fof(f2843,plain,
( v2_binop_1(u1_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v7_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f975,f288]) ).
fof(f2845,plain,
( v1_partfun1(u1_lattices(k1_lattice2(k1_lattice2(sK0_skl))),k2_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v6_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f975,f281]) ).
fof(f2846,plain,
( v1_binop_1(u1_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v6_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f975,f280]) ).
fof(f2847,plain,
( v1_relat_1(u1_lattices(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ v6_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f975,f277]) ).
fof(f2852,definition,
( sQ419_spl
<=> v1_partfun1(u1_lattices(k1_lattice2(k1_lattice2(sK0_skl))),k2_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f2856,definition,
( sQ420_spl
<=> v2_binop_1(u1_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f2859,plain,
( sQ420_spl
| ~ sQ105_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2843,f991,f1029,f2856]) ).
fof(f2860,definition,
( sQ421_spl
<=> v1_relat_1(u1_lattices(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f2864,plain,
( sQ419_spl
| ~ sQ106_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2845,f991,f1033,f2852]) ).
fof(f2865,definition,
( sQ422_spl
<=> v1_binop_1(u1_lattices(k1_lattice2(k1_lattice2(sK0_skl))),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f2868,plain,
( sQ422_spl
| ~ sQ106_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2846,f991,f1033,f2865]) ).
fof(f2869,plain,
( sQ421_spl
| ~ sQ106_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2847,f991,f1033,f2860]) ).
fof(f2875,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| k7_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))),k5_filter_2(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl)) = k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl)
| ~ l3_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v17_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f2412,f305]) ).
fof(f2876,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| m1_subset_1(k5_filter_2(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl),u1_struct_0(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl)))))
| ~ l3_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f2412,f176]) ).
fof(f2877,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| k5_filter_2(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl) = sK2_skl
| ~ l3_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f2412,f164]) ).
fof(f2878,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| m1_subset_1(k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(k1_lattice2(sK0_skl)))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f2412,f180]) ).
fof(f2880,definition,
( sQ423_spl
<=> k7_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))),k5_filter_2(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl)) = k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f2883,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| sQ423_spl
| ~ sQ128_spl
| ~ sQ76_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2875,f991,f1014,f873,f1147,f2880,f901,f897]) ).
fof(f2884,definition,
( sQ424_spl
<=> m1_subset_1(k5_filter_2(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl),u1_struct_0(k1_lattice2(k1_lattice2(k1_lattice2(sK0_skl))))) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f2887,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| sQ424_spl
| ~ sQ128_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2876,f991,f1014,f1147,f2884,f901,f897]) ).
fof(f2888,definition,
( sQ425_spl
<=> k5_filter_2(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl) = sK2_skl ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f2891,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| sQ425_spl
| ~ sQ128_spl
| ~ sQ101_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2877,f991,f1014,f1147,f2888,f901,f897]) ).
fof(f2892,definition,
( sQ426_spl
<=> m1_subset_1(k7_lattices(k1_lattice2(k1_lattice2(sK0_skl)),sK2_skl),u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f2895,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| sQ426_spl
| ~ sQ128_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2878,f991,f1147,f2892,f901,f897]) ).
fof(f3089,plain,
( sK26_skl = g3_lattices(u1_struct_0(sK26_skl),u2_lattices(sK26_skl),u1_lattices(sK26_skl))
| ~ l3_lattices(sK26_skl) ),
inference(resolution,[status(thm)],[f395,f111]) ).
fof(f3090,definition,
( sQ465_spl
<=> l3_lattices(sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f3092,plain,
( sQ465_spl
| ~ l3_lattices(sK26_skl) ),
inference(component_clause,[status(thm)],[f3090]) ).
fof(f3093,definition,
( sQ466_spl
<=> sK26_skl = g3_lattices(u1_struct_0(sK26_skl),u2_lattices(sK26_skl),u1_lattices(sK26_skl)) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f3096,plain,
( sQ466_spl
| ~ sQ465_spl ),
inference(split_clause,[status(thm)],[f3089,f3090,f3093]) ).
fof(f3097,plain,
( sQ465_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3092,f394]) ).
fof(f3098,plain,
sQ465_spl,
inference(contradiction_clause,[status(thm)],[f3097]) ).
fof(f3099,plain,
( ~ sQ95_spl
| ~ l3_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f992,f238]) ).
fof(f3100,plain,
( ~ sQ95_spl
| ~ sQ65_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3099,f839,f815,f991]) ).
fof(f3103,plain,
( ~ sQ413_spl
| m1_subset_1(sK19_skl(k1_lattice2(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f2806,f198]) ).
fof(f3104,definition,
( sQ467_spl
<=> m1_subset_1(sK19_skl(k1_lattice2(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f3107,plain,
( ~ sQ413_spl
| sQ467_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3103,f839,f862,f815,f3104,f2805]) ).
fof(f3113,plain,
( ~ sQ376_spl
| k7_lattices(k1_lattice2(sK17_skl),k5_filter_2(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))))) = k7_lattices(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))))
| ~ l3_lattices(sK17_skl)
| ~ v17_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f2615,f305]) ).
fof(f3114,plain,
( ~ sQ376_spl
| m1_subset_1(k5_filter_2(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl)))),u1_struct_0(k1_lattice2(sK17_skl)))
| ~ l3_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f2615,f176]) ).
fof(f3115,plain,
( ~ sQ376_spl
| k5_filter_2(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl)))) = k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl)))
| ~ l3_lattices(sK17_skl)
| ~ v10_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f2615,f164]) ).
fof(f3116,plain,
( ~ sQ376_spl
| m1_subset_1(k7_lattices(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl)))),u1_struct_0(sK17_skl))
| ~ l3_lattices(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f2615,f180]) ).
fof(f3117,plain,
( ~ sQ376_spl
| r2_hidden(k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))),u1_struct_0(sK17_skl))
| v1_xboole_0(u1_struct_0(sK17_skl)) ),
inference(resolution,[status(thm)],[f2615,f434]) ).
fof(f3118,definition,
( sQ468_spl
<=> k7_lattices(k1_lattice2(sK17_skl),k5_filter_2(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))))) = k7_lattices(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f3121,plain,
( ~ sQ376_spl
| sQ468_spl
| ~ sQ393_spl
| ~ sQ369_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3113,f2553,f2556,f2587,f2689,f3118,f2614]) ).
fof(f3122,definition,
( sQ469_spl
<=> m1_subset_1(k5_filter_2(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl)))),u1_struct_0(k1_lattice2(sK17_skl))) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f3125,plain,
( ~ sQ376_spl
| sQ469_spl
| ~ sQ393_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3114,f2553,f2556,f2689,f3122,f2614]) ).
fof(f3126,definition,
( sQ470_spl
<=> k5_filter_2(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl)))) = k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f3129,plain,
( ~ sQ376_spl
| sQ470_spl
| ~ sQ393_spl
| ~ sQ361_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3115,f2553,f2556,f2689,f3126,f2614]) ).
fof(f3130,definition,
( sQ471_spl
<=> m1_subset_1(k7_lattices(sK17_skl,k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl)))),u1_struct_0(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f3133,plain,
( ~ sQ376_spl
| sQ471_spl
| ~ sQ393_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3116,f2553,f2689,f3130,f2614]) ).
fof(f3134,definition,
( sQ472_spl
<=> v1_xboole_0(u1_struct_0(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f3135,plain,
( ~ sQ472_spl
| v1_xboole_0(u1_struct_0(sK17_skl)) ),
inference(component_clause,[status(thm)],[f3134]) ).
fof(f3137,definition,
( sQ473_spl
<=> r2_hidden(k7_lattices(sK17_skl,sK10_skl(u1_struct_0(sK17_skl))),u1_struct_0(sK17_skl)) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f3140,plain,
( ~ sQ376_spl
| sQ473_spl
| sQ472_spl ),
inference(split_clause,[status(thm)],[f3117,f3134,f3137,f2614]) ).
fof(f3143,plain,
( ~ sQ417_spl
| ~ v1_xboole_0(k7_filter_2(sK0_skl,sK19_skl(sK0_skl)))
| v1_xboole_0(sK19_skl(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f2834,f236]) ).
fof(f3144,plain,
( ~ sQ417_spl
| m1_subset_1(k7_filter_2(sK0_skl,sK19_skl(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f2834,f178]) ).
fof(f3145,plain,
( ~ sQ417_spl
| k7_filter_2(sK0_skl,sK19_skl(sK0_skl)) = sK19_skl(sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f2834,f166]) ).
fof(f3146,plain,
( ~ sQ417_spl
| m1_subset_1(sK10_skl(sK19_skl(sK0_skl)),u1_struct_0(sK0_skl))
| v1_xboole_0(sK19_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f2834,f1408]) ).
fof(f3148,plain,
( ~ sQ417_spl
| r2_hidden(sK19_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
inference(resolution,[status(thm)],[f2834,f434]) ).
fof(f3149,definition,
( sQ474_spl
<=> v1_xboole_0(sK19_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f3150,plain,
( ~ sQ474_spl
| v1_xboole_0(sK19_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f3149]) ).
fof(f3152,definition,
( sQ475_spl
<=> v1_xboole_0(k7_filter_2(sK0_skl,sK19_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f3155,plain,
( ~ sQ417_spl
| ~ sQ475_spl
| sQ474_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3143,f471,f482,f474,f3149,f3152,f2833]) ).
fof(f3156,definition,
( sQ476_spl
<=> m1_subset_1(k7_filter_2(sK0_skl,sK19_skl(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f3159,plain,
( ~ sQ417_spl
| sQ476_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3144,f471,f482,f474,f3156,f2833]) ).
fof(f3160,definition,
( sQ477_spl
<=> k7_filter_2(sK0_skl,sK19_skl(sK0_skl)) = sK19_skl(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f3163,plain,
( ~ sQ417_spl
| sQ477_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3145,f471,f482,f474,f3160,f2833]) ).
fof(f3164,definition,
( sQ478_spl
<=> m1_subset_1(sK10_skl(sK19_skl(sK0_skl)),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f3167,plain,
( ~ sQ417_spl
| sQ478_spl
| sQ474_spl ),
inference(split_clause,[status(thm)],[f3146,f3149,f3164,f2833]) ).
fof(f3169,definition,
( sQ479_spl
<=> r2_hidden(sK19_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f3172,plain,
( ~ sQ417_spl
| sQ479_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3148,f1174,f3169,f2833]) ).
fof(f3174,plain,
( m2_lattice4(sK19_skl(sK29_skl),sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f372]) ).
fof(f3175,plain,
( v10_lattices(k1_lattice2(sK29_skl))
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f299]) ).
fof(f3176,plain,
( v9_lattices(k1_lattice2(sK29_skl))
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f298]) ).
fof(f3177,plain,
( v8_lattices(k1_lattice2(sK29_skl))
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f297]) ).
fof(f3178,plain,
( v7_lattices(k1_lattice2(sK29_skl))
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f296]) ).
fof(f3179,plain,
( v6_lattices(k1_lattice2(sK29_skl))
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f295]) ).
fof(f3180,plain,
( v5_lattices(k1_lattice2(sK29_skl))
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f294]) ).
fof(f3181,plain,
( v4_lattices(k1_lattice2(sK29_skl))
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f293]) ).
fof(f3182,plain,
( v16_lattices(k1_lattice2(sK29_skl))
| ~ v17_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f274]) ).
fof(f3183,plain,
( v15_lattices(k1_lattice2(sK29_skl))
| ~ v17_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f273]) ).
fof(f3184,plain,
( v14_lattices(k1_lattice2(sK29_skl))
| ~ v17_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f272]) ).
fof(f3185,plain,
( v13_lattices(k1_lattice2(sK29_skl))
| ~ v17_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f271]) ).
fof(f3186,plain,
( v12_lattices(k1_lattice2(sK29_skl))
| ~ v17_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f270]) ).
fof(f3187,plain,
( v11_lattices(k1_lattice2(sK29_skl))
| ~ v17_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f269]) ).
fof(f3188,plain,
( m1_subset_1(k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))),u1_struct_0(sK29_skl))
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f1290]) ).
fof(f3189,plain,
( m2_lattice4(sK12_skl(sK29_skl),sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f232]) ).
fof(f3190,plain,
( m2_filter_2(sK11_skl(sK29_skl),sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f229]) ).
fof(f3191,plain,
( m1_filter_2(sK8_skl(sK29_skl),sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f222]) ).
fof(f3192,plain,
( m1_filter_0(sK7_skl(sK29_skl),sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f219]) ).
fof(f3198,plain,
( v16_lattices(sK29_skl)
| ~ v17_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f147]) ).
fof(f3199,plain,
( v15_lattices(sK29_skl)
| ~ v17_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f146]) ).
fof(f3200,plain,
( v14_lattices(sK29_skl)
| ~ v17_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f145]) ).
fof(f3201,plain,
( v13_lattices(sK29_skl)
| ~ v17_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f144]) ).
fof(f3202,plain,
( v11_lattices(sK29_skl)
| ~ v17_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f143]) ).
fof(f3203,plain,
( v9_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f123]) ).
fof(f3204,plain,
( v8_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f122]) ).
fof(f3205,plain,
( v17_lattices(k1_lattice2(sK29_skl))
| ~ v17_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f275]) ).
fof(f3206,plain,
( v7_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f121]) ).
fof(f3207,plain,
( v6_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f120]) ).
fof(f3208,plain,
( v5_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f119]) ).
fof(f3209,plain,
( v4_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f404,f118]) ).
fof(f3210,definition,
( sQ480_spl
<=> v3_struct_0(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f3211,plain,
( ~ sQ480_spl
| v3_struct_0(sK29_skl) ),
inference(component_clause,[status(thm)],[f3210]) ).
fof(f3213,definition,
( sQ481_spl
<=> v10_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f3216,definition,
( sQ482_spl
<=> m2_lattice4(sK19_skl(sK29_skl),sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f3219,plain,
( sQ482_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3174,f3210,f3213,f3216]) ).
fof(f3220,definition,
( sQ483_spl
<=> v10_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f3223,plain,
( sQ483_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3175,f3210,f3213,f3220]) ).
fof(f3224,definition,
( sQ484_spl
<=> v9_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f3227,plain,
( sQ484_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3176,f3210,f3213,f3224]) ).
fof(f3228,definition,
( sQ485_spl
<=> v8_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f3231,plain,
( sQ485_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3177,f3210,f3213,f3228]) ).
fof(f3232,definition,
( sQ486_spl
<=> v7_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f3235,plain,
( sQ486_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3178,f3210,f3213,f3232]) ).
fof(f3236,definition,
( sQ487_spl
<=> v6_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f3239,plain,
( sQ487_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3179,f3210,f3213,f3236]) ).
fof(f3240,definition,
( sQ488_spl
<=> v5_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f3243,plain,
( sQ488_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3180,f3210,f3213,f3240]) ).
fof(f3244,definition,
( sQ489_spl
<=> v4_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f3247,plain,
( sQ489_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3181,f3210,f3213,f3244]) ).
fof(f3248,definition,
( sQ490_spl
<=> v17_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f3251,definition,
( sQ491_spl
<=> v16_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f3254,plain,
( sQ491_spl
| ~ sQ490_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3182,f3210,f3213,f3248,f3251]) ).
fof(f3255,definition,
( sQ492_spl
<=> v15_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f3258,plain,
( sQ492_spl
| ~ sQ490_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3183,f3210,f3213,f3248,f3255]) ).
fof(f3259,definition,
( sQ493_spl
<=> v14_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f3262,plain,
( sQ493_spl
| ~ sQ490_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3184,f3210,f3213,f3248,f3259]) ).
fof(f3263,definition,
( sQ494_spl
<=> v13_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f3266,plain,
( sQ494_spl
| ~ sQ490_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3185,f3210,f3213,f3248,f3263]) ).
fof(f3267,definition,
( sQ495_spl
<=> v12_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f3270,plain,
( sQ495_spl
| ~ sQ490_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3186,f3210,f3213,f3248,f3267]) ).
fof(f3271,definition,
( sQ496_spl
<=> v11_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f3274,plain,
( sQ496_spl
| ~ sQ490_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3187,f3210,f3213,f3248,f3271]) ).
fof(f3275,definition,
( sQ497_spl
<=> m1_subset_1(k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))),u1_struct_0(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f3276,plain,
( ~ sQ497_spl
| m1_subset_1(k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))),u1_struct_0(sK29_skl)) ),
inference(component_clause,[status(thm)],[f3275]) ).
fof(f3278,plain,
( sQ497_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3188,f3210,f3275]) ).
fof(f3279,definition,
( sQ498_spl
<=> m2_lattice4(sK12_skl(sK29_skl),sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f3282,plain,
( sQ498_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3189,f3210,f3213,f3279]) ).
fof(f3283,definition,
( sQ499_spl
<=> m2_filter_2(sK11_skl(sK29_skl),sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f3286,plain,
( sQ499_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3190,f3210,f3213,f3283]) ).
fof(f3287,definition,
( sQ500_spl
<=> m1_filter_2(sK8_skl(sK29_skl),sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f3290,plain,
( sQ500_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3191,f3210,f3213,f3287]) ).
fof(f3291,definition,
( sQ501_spl
<=> m1_filter_0(sK7_skl(sK29_skl),sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f3294,plain,
( sQ501_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3192,f3210,f3213,f3291]) ).
fof(f3295,definition,
( sQ502_spl
<=> v16_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f3298,plain,
( sQ502_spl
| ~ sQ490_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3198,f3210,f3248,f3295]) ).
fof(f3299,definition,
( sQ503_spl
<=> v15_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f3302,plain,
( sQ503_spl
| ~ sQ490_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3199,f3210,f3248,f3299]) ).
fof(f3303,definition,
( sQ504_spl
<=> v14_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f3306,plain,
( sQ504_spl
| ~ sQ490_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3200,f3210,f3248,f3303]) ).
fof(f3307,definition,
( sQ505_spl
<=> v13_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f3310,plain,
( sQ505_spl
| ~ sQ490_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3201,f3210,f3248,f3307]) ).
fof(f3311,definition,
( sQ506_spl
<=> v11_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f3314,plain,
( sQ506_spl
| ~ sQ490_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3202,f3210,f3248,f3311]) ).
fof(f3315,definition,
( sQ507_spl
<=> v9_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f3318,plain,
( sQ507_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3203,f3210,f3213,f3315]) ).
fof(f3319,definition,
( sQ508_spl
<=> v8_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f3322,plain,
( sQ508_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3204,f3210,f3213,f3319]) ).
fof(f3323,definition,
( sQ509_spl
<=> v17_lattices(k1_lattice2(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f3326,plain,
( sQ509_spl
| ~ sQ490_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3205,f3210,f3213,f3248,f3323]) ).
fof(f3327,definition,
( sQ510_spl
<=> v7_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f3330,plain,
( sQ510_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3206,f3210,f3213,f3327]) ).
fof(f3331,definition,
( sQ511_spl
<=> v6_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f3334,plain,
( sQ511_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3207,f3210,f3213,f3331]) ).
fof(f3335,definition,
( sQ512_spl
<=> v5_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f3338,plain,
( sQ512_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3208,f3210,f3213,f3335]) ).
fof(f3339,definition,
( sQ513_spl
<=> v4_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f3342,plain,
( sQ513_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3209,f3210,f3213,f3339]) ).
fof(f3343,plain,
( ~ sQ480_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3211,f405]) ).
fof(f3344,plain,
~ sQ480_spl,
inference(contradiction_clause,[status(thm)],[f3343]) ).
fof(f3345,plain,
( m1_subset_1(sK28_skl(sK27_skl),k1_zfmisc_1(u1_struct_0(sK27_skl)))
| v3_struct_0(sK27_skl) ),
inference(resolution,[status(thm)],[f401,f397]) ).
fof(f3346,plain,
( m1_subset_1(sK28_skl(k1_lattice2(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f401,f1140]) ).
fof(f3347,plain,
( m1_subset_1(sK28_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl)))
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f401,f931]) ).
fof(f3349,definition,
( sQ514_spl
<=> v3_struct_0(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f3350,plain,
( ~ sQ514_spl
| v3_struct_0(sK27_skl) ),
inference(component_clause,[status(thm)],[f3349]) ).
fof(f3352,definition,
( sQ515_spl
<=> m1_subset_1(sK28_skl(sK27_skl),k1_zfmisc_1(u1_struct_0(sK27_skl))) ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f3355,plain,
( sQ515_spl
| sQ514_spl ),
inference(split_clause,[status(thm)],[f3345,f3349,f3352]) ).
fof(f3356,definition,
( sQ516_spl
<=> m1_subset_1(sK28_skl(k1_lattice2(sK0_skl)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f3359,plain,
( sQ516_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3346,f839,f3356]) ).
fof(f3360,definition,
( sQ517_spl
<=> m1_subset_1(sK28_skl(sK0_skl),k1_zfmisc_1(u1_struct_0(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f3363,plain,
( sQ517_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3347,f471,f3360]) ).
fof(f3371,plain,
( ~ sQ514_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3350,f398]) ).
fof(f3372,plain,
~ sQ514_spl,
inference(contradiction_clause,[status(thm)],[f3371]) ).
fof(f3373,plain,
( sK29_skl = g3_lattices(u1_struct_0(sK29_skl),u2_lattices(sK29_skl),u1_lattices(sK29_skl))
| ~ l3_lattices(sK29_skl) ),
inference(resolution,[status(thm)],[f406,f111]) ).
fof(f3374,definition,
( sQ520_spl
<=> l3_lattices(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f3376,plain,
( sQ520_spl
| ~ l3_lattices(sK29_skl) ),
inference(component_clause,[status(thm)],[f3374]) ).
fof(f3377,definition,
( sQ521_spl
<=> sK29_skl = g3_lattices(u1_struct_0(sK29_skl),u2_lattices(sK29_skl),u1_lattices(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f3380,plain,
( sQ521_spl
| ~ sQ520_spl ),
inference(split_clause,[status(thm)],[f3373,f3374,f3377]) ).
fof(f3381,plain,
( sQ520_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3376,f404]) ).
fof(f3382,plain,
sQ520_spl,
inference(contradiction_clause,[status(thm)],[f3381]) ).
fof(f3383,plain,
( m2_lattice4(sK19_skl(sK30_skl),sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f372]) ).
fof(f3384,plain,
( v10_lattices(k1_lattice2(sK30_skl))
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f299]) ).
fof(f3385,plain,
( v9_lattices(k1_lattice2(sK30_skl))
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f298]) ).
fof(f3386,plain,
( v8_lattices(k1_lattice2(sK30_skl))
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f297]) ).
fof(f3387,plain,
( v7_lattices(k1_lattice2(sK30_skl))
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f296]) ).
fof(f3388,plain,
( v6_lattices(k1_lattice2(sK30_skl))
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f295]) ).
fof(f3389,plain,
( v5_lattices(k1_lattice2(sK30_skl))
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f294]) ).
fof(f3390,plain,
( v4_lattices(k1_lattice2(sK30_skl))
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f293]) ).
fof(f3391,plain,
( v16_lattices(k1_lattice2(sK30_skl))
| ~ v17_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f274]) ).
fof(f3392,plain,
( v15_lattices(k1_lattice2(sK30_skl))
| ~ v17_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f273]) ).
fof(f3393,plain,
( v14_lattices(k1_lattice2(sK30_skl))
| ~ v17_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f272]) ).
fof(f3394,plain,
( v13_lattices(k1_lattice2(sK30_skl))
| ~ v17_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f271]) ).
fof(f3395,plain,
( v12_lattices(k1_lattice2(sK30_skl))
| ~ v17_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f270]) ).
fof(f3396,plain,
( v11_lattices(k1_lattice2(sK30_skl))
| ~ v17_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f269]) ).
fof(f3397,plain,
( m1_subset_1(k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))),u1_struct_0(sK30_skl))
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f1290]) ).
fof(f3398,plain,
( m2_lattice4(sK12_skl(sK30_skl),sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f232]) ).
fof(f3399,plain,
( m2_filter_2(sK11_skl(sK30_skl),sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f229]) ).
fof(f3400,plain,
( m1_filter_2(sK8_skl(sK30_skl),sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f222]) ).
fof(f3401,plain,
( m1_filter_0(sK7_skl(sK30_skl),sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f219]) ).
fof(f3407,plain,
( v16_lattices(sK30_skl)
| ~ v17_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f147]) ).
fof(f3408,plain,
( v15_lattices(sK30_skl)
| ~ v17_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f146]) ).
fof(f3409,plain,
( v14_lattices(sK30_skl)
| ~ v17_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f145]) ).
fof(f3410,plain,
( v13_lattices(sK30_skl)
| ~ v17_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f144]) ).
fof(f3411,plain,
( v11_lattices(sK30_skl)
| ~ v17_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f143]) ).
fof(f3412,plain,
( v9_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f123]) ).
fof(f3413,plain,
( v8_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f122]) ).
fof(f3414,plain,
( v17_lattices(k1_lattice2(sK30_skl))
| ~ v17_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f275]) ).
fof(f3415,plain,
( v7_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f121]) ).
fof(f3416,plain,
( v6_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f120]) ).
fof(f3417,plain,
( v5_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f119]) ).
fof(f3418,plain,
( v4_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f408,f118]) ).
fof(f3419,definition,
( sQ522_spl
<=> v3_struct_0(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f3420,plain,
( ~ sQ522_spl
| v3_struct_0(sK30_skl) ),
inference(component_clause,[status(thm)],[f3419]) ).
fof(f3422,definition,
( sQ523_spl
<=> v10_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f3424,plain,
( sQ523_spl
| ~ v10_lattices(sK30_skl) ),
inference(component_clause,[status(thm)],[f3422]) ).
fof(f3425,definition,
( sQ524_spl
<=> m2_lattice4(sK19_skl(sK30_skl),sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f3428,plain,
( sQ524_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3383,f3419,f3422,f3425]) ).
fof(f3429,definition,
( sQ525_spl
<=> v10_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f3432,plain,
( sQ525_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3384,f3419,f3422,f3429]) ).
fof(f3433,definition,
( sQ526_spl
<=> v9_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f3436,plain,
( sQ526_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3385,f3419,f3422,f3433]) ).
fof(f3437,definition,
( sQ527_spl
<=> v8_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f3440,plain,
( sQ527_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3386,f3419,f3422,f3437]) ).
fof(f3441,definition,
( sQ528_spl
<=> v7_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f3444,plain,
( sQ528_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3387,f3419,f3422,f3441]) ).
fof(f3445,definition,
( sQ529_spl
<=> v6_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f3448,plain,
( sQ529_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3388,f3419,f3422,f3445]) ).
fof(f3449,definition,
( sQ530_spl
<=> v5_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f3452,plain,
( sQ530_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3389,f3419,f3422,f3449]) ).
fof(f3453,definition,
( sQ531_spl
<=> v4_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f3456,plain,
( sQ531_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3390,f3419,f3422,f3453]) ).
fof(f3457,definition,
( sQ532_spl
<=> v17_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f3460,definition,
( sQ533_spl
<=> v16_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f3463,plain,
( sQ533_spl
| ~ sQ532_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3391,f3419,f3422,f3457,f3460]) ).
fof(f3464,definition,
( sQ534_spl
<=> v15_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f3467,plain,
( sQ534_spl
| ~ sQ532_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3392,f3419,f3422,f3457,f3464]) ).
fof(f3468,definition,
( sQ535_spl
<=> v14_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f3471,plain,
( sQ535_spl
| ~ sQ532_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3393,f3419,f3422,f3457,f3468]) ).
fof(f3472,definition,
( sQ536_spl
<=> v13_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f3475,plain,
( sQ536_spl
| ~ sQ532_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3394,f3419,f3422,f3457,f3472]) ).
fof(f3476,definition,
( sQ537_spl
<=> v12_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f3479,plain,
( sQ537_spl
| ~ sQ532_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3395,f3419,f3422,f3457,f3476]) ).
fof(f3480,definition,
( sQ538_spl
<=> v11_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f3483,plain,
( sQ538_spl
| ~ sQ532_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3396,f3419,f3422,f3457,f3480]) ).
fof(f3484,definition,
( sQ539_spl
<=> m1_subset_1(k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))),u1_struct_0(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f3485,plain,
( ~ sQ539_spl
| m1_subset_1(k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))),u1_struct_0(sK30_skl)) ),
inference(component_clause,[status(thm)],[f3484]) ).
fof(f3487,plain,
( sQ539_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3397,f3419,f3484]) ).
fof(f3488,definition,
( sQ540_spl
<=> m2_lattice4(sK12_skl(sK30_skl),sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f3491,plain,
( sQ540_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3398,f3419,f3422,f3488]) ).
fof(f3492,definition,
( sQ541_spl
<=> m2_filter_2(sK11_skl(sK30_skl),sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f3495,plain,
( sQ541_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3399,f3419,f3422,f3492]) ).
fof(f3496,definition,
( sQ542_spl
<=> m1_filter_2(sK8_skl(sK30_skl),sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f3499,plain,
( sQ542_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3400,f3419,f3422,f3496]) ).
fof(f3500,definition,
( sQ543_spl
<=> m1_filter_0(sK7_skl(sK30_skl),sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f3503,plain,
( sQ543_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3401,f3419,f3422,f3500]) ).
fof(f3504,definition,
( sQ544_spl
<=> v16_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f3507,plain,
( sQ544_spl
| ~ sQ532_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3407,f3419,f3457,f3504]) ).
fof(f3508,definition,
( sQ545_spl
<=> v15_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f3511,plain,
( sQ545_spl
| ~ sQ532_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3408,f3419,f3457,f3508]) ).
fof(f3512,definition,
( sQ546_spl
<=> v14_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f3515,plain,
( sQ546_spl
| ~ sQ532_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3409,f3419,f3457,f3512]) ).
fof(f3516,definition,
( sQ547_spl
<=> v13_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f3519,plain,
( sQ547_spl
| ~ sQ532_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3410,f3419,f3457,f3516]) ).
fof(f3520,definition,
( sQ548_spl
<=> v11_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f3523,plain,
( sQ548_spl
| ~ sQ532_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3411,f3419,f3457,f3520]) ).
fof(f3524,definition,
( sQ549_spl
<=> v9_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f3527,plain,
( sQ549_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3412,f3419,f3422,f3524]) ).
fof(f3528,definition,
( sQ550_spl
<=> v8_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f3531,plain,
( sQ550_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3413,f3419,f3422,f3528]) ).
fof(f3532,definition,
( sQ551_spl
<=> v17_lattices(k1_lattice2(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f3535,plain,
( sQ551_spl
| ~ sQ532_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3414,f3419,f3422,f3457,f3532]) ).
fof(f3536,definition,
( sQ552_spl
<=> v7_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f3539,plain,
( sQ552_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3415,f3419,f3422,f3536]) ).
fof(f3540,definition,
( sQ553_spl
<=> v6_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f3543,plain,
( sQ553_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3416,f3419,f3422,f3540]) ).
fof(f3544,definition,
( sQ554_spl
<=> v5_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f3547,plain,
( sQ554_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3417,f3419,f3422,f3544]) ).
fof(f3548,definition,
( sQ555_spl
<=> v4_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f3551,plain,
( sQ555_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3418,f3419,f3422,f3548]) ).
fof(f3552,plain,
( ~ sQ522_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3420,f409]) ).
fof(f3553,plain,
~ sQ522_spl,
inference(contradiction_clause,[status(thm)],[f3552]) ).
fof(f3554,plain,
( sQ523_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3424,f417]) ).
fof(f3555,plain,
sQ523_spl,
inference(contradiction_clause,[status(thm)],[f3554]) ).
fof(f3556,plain,
( sK30_skl = g3_lattices(u1_struct_0(sK30_skl),u2_lattices(sK30_skl),u1_lattices(sK30_skl))
| ~ l3_lattices(sK30_skl) ),
inference(resolution,[status(thm)],[f410,f111]) ).
fof(f3557,definition,
( sQ556_spl
<=> l3_lattices(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f3559,plain,
( sQ556_spl
| ~ l3_lattices(sK30_skl) ),
inference(component_clause,[status(thm)],[f3557]) ).
fof(f3560,definition,
( sQ557_spl
<=> sK30_skl = g3_lattices(u1_struct_0(sK30_skl),u2_lattices(sK30_skl),u1_lattices(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f3563,plain,
( sQ557_spl
| ~ sQ556_spl ),
inference(split_clause,[status(thm)],[f3556,f3557,f3560]) ).
fof(f3564,plain,
( sQ556_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3559,f408]) ).
fof(f3565,plain,
sQ556_spl,
inference(contradiction_clause,[status(thm)],[f3564]) ).
fof(f3566,plain,
( ~ sQ474_spl
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f3150,f373]) ).
fof(f3568,plain,
( ~ sQ474_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3566,f471,f482,f474,f3149]) ).
fof(f3570,plain,
( ~ sQ89_spl
| k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))))
| ~ l3_lattices(sK0_skl)
| ~ v17_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f946,f305]) ).
fof(f3571,plain,
( ~ sQ89_spl
| m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f946,f176]) ).
fof(f3572,plain,
( ~ sQ89_spl
| k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f946,f164]) ).
fof(f3573,plain,
( ~ sQ89_spl
| m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))),u1_struct_0(sK0_skl))
| ~ l3_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f946,f180]) ).
fof(f3574,plain,
( ~ sQ89_spl
| r2_hidden(k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))),u1_struct_0(sK0_skl))
| v1_xboole_0(u1_struct_0(sK0_skl)) ),
inference(resolution,[status(thm)],[f946,f434]) ).
fof(f3575,definition,
( sQ558_spl
<=> k7_lattices(k1_lattice2(sK0_skl),k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).
fof(f3578,plain,
( ~ sQ89_spl
| sQ558_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3570,f471,f482,f518,f474,f3575,f945]) ).
fof(f3579,definition,
( sQ559_spl
<=> m1_subset_1(k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f3582,plain,
( ~ sQ89_spl
| sQ559_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3571,f471,f482,f474,f3579,f945]) ).
fof(f3583,definition,
( sQ560_spl
<=> k5_filter_2(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))) = k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))) ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f3586,plain,
( ~ sQ89_spl
| sQ560_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3572,f471,f482,f474,f3583,f945]) ).
fof(f3587,definition,
( sQ561_spl
<=> m1_subset_1(k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)))),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f3590,plain,
( ~ sQ89_spl
| sQ561_spl
| ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3573,f471,f474,f3587,f945]) ).
fof(f3591,definition,
( sQ562_spl
<=> r2_hidden(k7_lattices(sK0_skl,k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl))),u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f3594,plain,
( ~ sQ89_spl
| sQ562_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f3574,f530,f3591,f945]) ).
fof(f3597,plain,
( ~ sQ472_spl
| ~ l1_struct_0(sK17_skl)
| v3_struct_0(sK17_skl) ),
inference(resolution,[status(thm)],[f3135,f241]) ).
fof(f3599,definition,
( sQ563_spl
<=> l1_struct_0(sK17_skl) ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f3602,plain,
( ~ sQ472_spl
| ~ sQ563_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3597,f2553,f3599,f3134]) ).
fof(f3605,plain,
( ~ sQ150_spl
| k15_filter_2(k1_lattice2(sK0_skl),sK11_skl(k1_lattice2(sK0_skl))) = k7_filter_2(k1_lattice2(sK0_skl),sK11_skl(k1_lattice2(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f419,f1307]) ).
fof(f3606,plain,
( ~ sQ153_spl
| k15_filter_2(sK0_skl,sK11_skl(sK0_skl)) = k7_filter_2(sK0_skl,sK11_skl(sK0_skl))
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f419,f1319]) ).
fof(f3607,plain,
( k15_filter_2(sK0_skl,sK1_skl) = k7_filter_2(sK0_skl,sK1_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f419,f105]) ).
fof(f3608,definition,
( sQ564_spl
<=> k15_filter_2(k1_lattice2(sK0_skl),sK11_skl(k1_lattice2(sK0_skl))) = k7_filter_2(k1_lattice2(sK0_skl),sK11_skl(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f3611,plain,
( ~ sQ150_spl
| sQ564_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3605,f839,f862,f815,f3608,f1306]) ).
fof(f3612,definition,
( sQ565_spl
<=> k15_filter_2(sK0_skl,sK11_skl(sK0_skl)) = k7_filter_2(sK0_skl,sK11_skl(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f3613,plain,
( ~ sQ565_spl
| k15_filter_2(sK0_skl,sK11_skl(sK0_skl)) = k7_filter_2(sK0_skl,sK11_skl(sK0_skl)) ),
inference(component_clause,[status(thm)],[f3612]) ).
fof(f3615,plain,
( ~ sQ153_spl
| sQ565_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3606,f471,f482,f474,f3612,f1318]) ).
fof(f3616,definition,
( sQ566_spl
<=> k15_filter_2(sK0_skl,sK1_skl) = k7_filter_2(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f3617,plain,
( ~ sQ566_spl
| k15_filter_2(sK0_skl,sK1_skl) = k7_filter_2(sK0_skl,sK1_skl) ),
inference(component_clause,[status(thm)],[f3616]) ).
fof(f3619,plain,
( sQ566_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3607,f471,f482,f474,f3616]) ).
fof(f3620,plain,
( ~ sQ171_spl
| ~ sQ565_spl
| m1_filter_2(k7_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl)) ),
inference(backward_demodulation,[status(thm)],[f3613,f1419]) ).
fof(f3626,plain,
( ~ sQ62_spl
| ~ sQ566_spl
| ~ sQ131_spl
| m1_filter_2(sK1_skl,k1_lattice2(sK0_skl)) ),
inference(backward_demodulation,[status(thm)],[f3629,f791]) ).
fof(f3627,plain,
( ~ sQ40_spl
| ~ sQ566_spl
| ~ sQ131_spl
| v1_filter_0(sK1_skl,k1_lattice2(sK0_skl)) ),
inference(backward_demodulation,[status(thm)],[f3629,f655]) ).
fof(f3629,plain,
( ~ sQ566_spl
| ~ sQ131_spl
| k15_filter_2(sK0_skl,sK1_skl) = sK1_skl ),
inference(forward_demodulation,[status(thm)],[f1171,f3617]) ).
fof(f3630,plain,
( ~ sQ144_spl
| m1_filter_0(sK8_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f423,f1268]) ).
fof(f3631,plain,
( ~ sQ147_spl
| m1_filter_0(sK8_skl(sK0_skl),sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f423,f1280]) ).
fof(f3632,definition,
( sQ567_spl
<=> m1_filter_0(sK8_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f3635,plain,
( ~ sQ144_spl
| sQ567_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3630,f839,f862,f815,f3632,f1267]) ).
fof(f3636,definition,
( sQ568_spl
<=> m1_filter_0(sK8_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f3639,plain,
( ~ sQ147_spl
| sQ568_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3631,f471,f482,f474,f3636,f1279]) ).
fof(f3641,definition,
( sQ569_spl
<=> v1_filter_0(sK1_skl,k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f3643,plain,
( sQ569_spl
| ~ v1_filter_0(sK1_skl,k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f3641]) ).
fof(f3645,plain,
( ~ sQ62_spl
| ~ sQ566_spl
| ~ sQ131_spl
| m1_filter_0(sK1_skl,k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f3626,f423]) ).
fof(f3646,plain,
( ~ sQ62_spl
| ~ sQ566_spl
| ~ sQ131_spl
| m2_lattice4(sK1_skl,k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f3626,f193]) ).
fof(f3648,definition,
( sQ570_spl
<=> m1_filter_0(sK1_skl,k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition]) ).
fof(f3649,plain,
( ~ sQ570_spl
| m1_filter_0(sK1_skl,k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f3648]) ).
fof(f3651,plain,
( ~ sQ62_spl
| ~ sQ566_spl
| ~ sQ131_spl
| sQ570_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3645,f839,f862,f815,f3648,f1170,f3616,f790]) ).
fof(f3652,definition,
( sQ571_spl
<=> m2_lattice4(sK1_skl,k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f3655,plain,
( ~ sQ62_spl
| ~ sQ566_spl
| ~ sQ131_spl
| sQ571_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3646,f839,f862,f815,f3652,f1170,f3616,f790]) ).
fof(f3657,plain,
( m1_subset_1(sK28_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl)))))
| v3_struct_0(k1_lattice2(k1_lattice2(sK0_skl))) ),
inference(resolution,[status(thm)],[f1355,f401]) ).
fof(f3658,definition,
( sQ572_spl
<=> m1_subset_1(sK28_skl(k1_lattice2(k1_lattice2(sK0_skl))),k1_zfmisc_1(u1_struct_0(k1_lattice2(k1_lattice2(sK0_skl))))) ),
introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).
fof(f3661,plain,
( sQ572_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f3657,f991,f3658]) ).
fof(f3662,plain,
( ~ sQ497_spl
| k7_lattices(k1_lattice2(sK29_skl),k5_filter_2(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))))) = k7_lattices(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))))
| ~ l3_lattices(sK29_skl)
| ~ v17_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f3276,f305]) ).
fof(f3663,plain,
( ~ sQ497_spl
| m1_subset_1(k5_filter_2(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl)))),u1_struct_0(k1_lattice2(sK29_skl)))
| ~ l3_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f3276,f176]) ).
fof(f3664,plain,
( ~ sQ497_spl
| k5_filter_2(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl)))) = k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl)))
| ~ l3_lattices(sK29_skl)
| ~ v10_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f3276,f164]) ).
fof(f3665,plain,
( ~ sQ497_spl
| m1_subset_1(k7_lattices(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl)))),u1_struct_0(sK29_skl))
| ~ l3_lattices(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f3276,f180]) ).
fof(f3666,plain,
( ~ sQ497_spl
| r2_hidden(k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))),u1_struct_0(sK29_skl))
| v1_xboole_0(u1_struct_0(sK29_skl)) ),
inference(resolution,[status(thm)],[f3276,f434]) ).
fof(f3667,definition,
( sQ573_spl
<=> k7_lattices(k1_lattice2(sK29_skl),k5_filter_2(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))))) = k7_lattices(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).
fof(f3670,plain,
( ~ sQ497_spl
| sQ573_spl
| ~ sQ520_spl
| ~ sQ490_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3662,f3210,f3213,f3248,f3374,f3667,f3275]) ).
fof(f3671,definition,
( sQ574_spl
<=> m1_subset_1(k5_filter_2(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl)))),u1_struct_0(k1_lattice2(sK29_skl))) ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f3674,plain,
( ~ sQ497_spl
| sQ574_spl
| ~ sQ520_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3663,f3210,f3213,f3374,f3671,f3275]) ).
fof(f3675,definition,
( sQ575_spl
<=> k5_filter_2(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl)))) = k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))) ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f3678,plain,
( ~ sQ497_spl
| sQ575_spl
| ~ sQ520_spl
| ~ sQ481_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3664,f3210,f3213,f3374,f3675,f3275]) ).
fof(f3679,definition,
( sQ576_spl
<=> m1_subset_1(k7_lattices(sK29_skl,k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl)))),u1_struct_0(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f3682,plain,
( ~ sQ497_spl
| sQ576_spl
| ~ sQ520_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3665,f3210,f3374,f3679,f3275]) ).
fof(f3683,definition,
( sQ577_spl
<=> v1_xboole_0(u1_struct_0(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f3684,plain,
( ~ sQ577_spl
| v1_xboole_0(u1_struct_0(sK29_skl)) ),
inference(component_clause,[status(thm)],[f3683]) ).
fof(f3686,definition,
( sQ578_spl
<=> r2_hidden(k7_lattices(sK29_skl,sK10_skl(u1_struct_0(sK29_skl))),u1_struct_0(sK29_skl)) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f3689,plain,
( ~ sQ497_spl
| sQ578_spl
| sQ577_spl ),
inference(split_clause,[status(thm)],[f3666,f3683,f3686,f3275]) ).
fof(f3690,plain,
( ~ sQ539_spl
| k7_lattices(k1_lattice2(sK30_skl),k5_filter_2(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))))) = k7_lattices(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))))
| ~ l3_lattices(sK30_skl)
| ~ v17_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f3485,f305]) ).
fof(f3691,plain,
( ~ sQ539_spl
| m1_subset_1(k5_filter_2(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl)))),u1_struct_0(k1_lattice2(sK30_skl)))
| ~ l3_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f3485,f176]) ).
fof(f3692,plain,
( ~ sQ539_spl
| k5_filter_2(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl)))) = k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl)))
| ~ l3_lattices(sK30_skl)
| ~ v10_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f3485,f164]) ).
fof(f3693,plain,
( ~ sQ539_spl
| m1_subset_1(k7_lattices(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl)))),u1_struct_0(sK30_skl))
| ~ l3_lattices(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f3485,f180]) ).
fof(f3694,plain,
( ~ sQ539_spl
| r2_hidden(k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))),u1_struct_0(sK30_skl))
| v1_xboole_0(u1_struct_0(sK30_skl)) ),
inference(resolution,[status(thm)],[f3485,f434]) ).
fof(f3695,definition,
( sQ579_spl
<=> k7_lattices(k1_lattice2(sK30_skl),k5_filter_2(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))))) = k7_lattices(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f3698,plain,
( ~ sQ539_spl
| sQ579_spl
| ~ sQ556_spl
| ~ sQ532_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3690,f3419,f3422,f3457,f3557,f3695,f3484]) ).
fof(f3699,definition,
( sQ580_spl
<=> m1_subset_1(k5_filter_2(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl)))),u1_struct_0(k1_lattice2(sK30_skl))) ),
introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).
fof(f3702,plain,
( ~ sQ539_spl
| sQ580_spl
| ~ sQ556_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3691,f3419,f3422,f3557,f3699,f3484]) ).
fof(f3703,definition,
( sQ581_spl
<=> k5_filter_2(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl)))) = k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))) ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f3706,plain,
( ~ sQ539_spl
| sQ581_spl
| ~ sQ556_spl
| ~ sQ523_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3692,f3419,f3422,f3557,f3703,f3484]) ).
fof(f3707,definition,
( sQ582_spl
<=> m1_subset_1(k7_lattices(sK30_skl,k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl)))),u1_struct_0(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f3710,plain,
( ~ sQ539_spl
| sQ582_spl
| ~ sQ556_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f3693,f3419,f3557,f3707,f3484]) ).
fof(f3711,definition,
( sQ583_spl
<=> v1_xboole_0(u1_struct_0(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).
fof(f3712,plain,
( ~ sQ583_spl
| v1_xboole_0(u1_struct_0(sK30_skl)) ),
inference(component_clause,[status(thm)],[f3711]) ).
fof(f3714,definition,
( sQ584_spl
<=> r2_hidden(k7_lattices(sK30_skl,sK10_skl(u1_struct_0(sK30_skl))),u1_struct_0(sK30_skl)) ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f3717,plain,
( ~ sQ539_spl
| sQ584_spl
| sQ583_spl ),
inference(split_clause,[status(thm)],[f3694,f3711,f3714,f3484]) ).
fof(f3732,plain,
( ~ sQ138_spl
| m1_filter_2(sK7_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f424,f1238]) ).
fof(f3733,plain,
( ~ sQ141_spl
| m1_filter_2(sK7_skl(sK0_skl),sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f424,f1250]) ).
fof(f3734,definition,
( sQ588_spl
<=> m1_filter_2(sK7_skl(k1_lattice2(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).
fof(f3737,plain,
( ~ sQ138_spl
| sQ588_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3732,f839,f862,f815,f3734,f1237]) ).
fof(f3738,definition,
( sQ589_spl
<=> m1_filter_2(sK7_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f3739,plain,
( ~ sQ589_spl
| m1_filter_2(sK7_skl(sK0_skl),sK0_skl) ),
inference(component_clause,[status(thm)],[f3738]) ).
fof(f3741,plain,
( ~ sQ141_spl
| sQ589_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3733,f471,f482,f474,f3738,f1249]) ).
fof(f3755,plain,
! [X0] :
( ~ sQ354_spl
| ~ sQ58_spl
| ~ r2_hidden(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),X0)
| ~ r2_hidden(k7_lattices(sK0_skl,sK2_skl),X0)
| ~ m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl)))
| ~ v1_filter_0(X0,k1_lattice2(sK0_skl))
| ~ m1_filter_0(X0,k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f2477,f448]) ).
fof(f3756,plain,
! [X0] :
( ~ sQ356_spl
| ~ sQ59_spl
| ~ r2_hidden(k7_lattices(sK0_skl,sK2_skl),X0)
| ~ r2_hidden(sK2_skl,X0)
| ~ m1_subset_1(sK2_skl,u1_struct_0(k1_lattice2(sK0_skl)))
| ~ v1_filter_0(X0,k1_lattice2(sK0_skl))
| ~ m1_filter_0(X0,k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(paramodulation,[status(thm)],[f2491,f448]) ).
fof(f3763,definition,
( sQ592_spl
<=> m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f3765,plain,
( sQ592_spl
| ~ m1_subset_1(sK2_skl,u1_struct_0(sK0_skl)) ),
inference(component_clause,[status(thm)],[f3763]) ).
fof(f3767,definition,
! [X0] :
( sQ593_spl
<=> ( ~ r2_hidden(k7_lattices(sK0_skl,k7_lattices(sK0_skl,sK2_skl)),X0)
| ~ r2_hidden(k7_lattices(sK0_skl,sK2_skl),X0)
| ~ v1_filter_0(X0,k1_lattice2(sK0_skl))
| ~ m1_filter_0(X0,k1_lattice2(sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).
fof(f3770,definition,
( sQ594_spl
<=> m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f3772,plain,
( sQ594_spl
| ~ m1_subset_1(k7_lattices(sK0_skl,sK2_skl),u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f3770]) ).
fof(f3773,plain,
( ~ sQ354_spl
| ~ sQ58_spl
| ~ sQ594_spl
| sQ593_spl
| ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3755,f839,f862,f521,f815,f3767,f3770,f763,f2463]) ).
fof(f3774,definition,
! [X0] :
( sQ595_spl
<=> ( ~ r2_hidden(k7_lattices(sK0_skl,sK2_skl),X0)
| ~ r2_hidden(sK2_skl,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK0_skl))
| ~ m1_filter_0(X0,k1_lattice2(sK0_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f3775,plain,
! [X0] :
( ~ sQ595_spl
| ~ r2_hidden(k7_lattices(sK0_skl,sK2_skl),X0)
| ~ r2_hidden(sK2_skl,X0)
| ~ v1_filter_0(X0,k1_lattice2(sK0_skl))
| ~ m1_filter_0(X0,k1_lattice2(sK0_skl)) ),
inference(component_clause,[status(thm)],[f3774]) ).
fof(f3777,definition,
( sQ596_spl
<=> m1_subset_1(sK2_skl,u1_struct_0(k1_lattice2(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).
fof(f3779,plain,
( sQ596_spl
| ~ m1_subset_1(sK2_skl,u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f3777]) ).
fof(f3780,plain,
( ~ sQ356_spl
| ~ sQ59_spl
| ~ sQ596_spl
| sQ595_spl
| ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3756,f839,f862,f521,f815,f3774,f3777,f767,f2471]) ).
fof(f3781,plain,
( sQ596_spl
| ~ sQ64_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3779,f811]) ).
fof(f3782,plain,
( sQ596_spl
| ~ sQ64_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3781]) ).
fof(f3783,plain,
( sQ594_spl
| ~ sQ63_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3772,f810]) ).
fof(f3784,plain,
( sQ594_spl
| ~ sQ63_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f3783]) ).
fof(f3785,plain,
( sQ592_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3765,f107]) ).
fof(f3786,plain,
sQ592_spl,
inference(contradiction_clause,[status(thm)],[f3785]) ).
fof(f3795,plain,
( ~ sQ171_spl
| ~ sQ565_spl
| m1_filter_0(k7_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f3620,f423]) ).
fof(f3796,plain,
( ~ sQ171_spl
| ~ sQ565_spl
| m2_lattice4(k7_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f3620,f193]) ).
fof(f3797,plain,
( ~ sQ171_spl
| ~ sQ565_spl
| ~ v1_xboole_0(k7_filter_2(sK0_skl,sK11_skl(sK0_skl)))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f3620,f192]) ).
fof(f3798,definition,
( sQ599_spl
<=> m1_filter_0(k7_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).
fof(f3801,plain,
( ~ sQ171_spl
| ~ sQ565_spl
| sQ599_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3795,f839,f862,f815,f3798,f3612,f1418]) ).
fof(f3802,definition,
( sQ600_spl
<=> m2_lattice4(k7_filter_2(sK0_skl,sK11_skl(sK0_skl)),k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f3805,plain,
( ~ sQ171_spl
| ~ sQ565_spl
| sQ600_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3796,f839,f862,f815,f3802,f3612,f1418]) ).
fof(f3806,definition,
( sQ601_spl
<=> v1_xboole_0(k7_filter_2(sK0_skl,sK11_skl(sK0_skl))) ),
introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).
fof(f3809,plain,
( ~ sQ171_spl
| ~ sQ565_spl
| ~ sQ601_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3797,f839,f862,f815,f3806,f3612,f1418]) ).
fof(f3811,definition,
( sQ602_spl
<=> m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition]) ).
fof(f3815,plain,
( ~ sQ577_spl
| ~ l1_struct_0(sK29_skl)
| v3_struct_0(sK29_skl) ),
inference(resolution,[status(thm)],[f3684,f241]) ).
fof(f3817,definition,
( sQ603_spl
<=> l1_struct_0(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).
fof(f3820,plain,
( ~ sQ577_spl
| ~ sQ603_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f3815,f3210,f3817,f3683]) ).
fof(f3827,plain,
( ~ sQ570_spl
| m1_filter_2(sK1_skl,k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f3649,f424]) ).
fof(f3828,plain,
( ~ sQ570_spl
| m1_subset_1(sK1_skl,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0_skl))))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f3649,f190]) ).
fof(f3830,definition,
( sQ604_spl
<=> m1_filter_2(sK1_skl,k1_lattice2(sK0_skl)) ),
introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).
fof(f3833,plain,
( ~ sQ570_spl
| sQ604_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3827,f839,f862,f815,f3830,f3648]) ).
fof(f3834,plain,
( ~ sQ570_spl
| sQ602_spl
| ~ sQ65_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3828,f839,f862,f815,f3811,f3648]) ).
fof(f3837,plain,
( ~ sQ589_spl
| m2_lattice4(sK7_skl(sK0_skl),sK0_skl)
| ~ l3_lattices(sK0_skl)
| ~ v10_lattices(sK0_skl)
| v3_struct_0(sK0_skl) ),
inference(resolution,[status(thm)],[f3739,f193]) ).
fof(f3840,definition,
( sQ605_spl
<=> m2_lattice4(sK7_skl(sK0_skl),sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).
fof(f3843,plain,
( ~ sQ589_spl
| sQ605_spl
| ~ sQ3_spl
| ~ sQ5_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3837,f471,f482,f474,f3840,f3738]) ).
fof(f3858,plain,
( v1_partfun1(u1_lattices(sK14_skl),k2_zfmisc_1(u1_struct_0(sK14_skl),u1_struct_0(sK14_skl)),u1_struct_0(sK14_skl))
| ~ v7_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f924,f289]) ).
fof(f3859,plain,
( v2_binop_1(u1_lattices(sK14_skl),u1_struct_0(sK14_skl))
| ~ v7_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f924,f288]) ).
fof(f3860,plain,
( v1_relat_1(u1_lattices(sK14_skl))
| ~ v7_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f924,f285]) ).
fof(f3862,plain,
( v1_binop_1(u1_lattices(sK14_skl),u1_struct_0(sK14_skl))
| ~ v6_lattices(sK14_skl)
| v3_struct_0(sK14_skl) ),
inference(resolution,[status(thm)],[f924,f280]) ).
fof(f3867,plain,
l1_struct_0(sK14_skl),
inference(resolution,[status(thm)],[f924,f182]) ).
fof(f3868,definition,
( sQ609_spl
<=> v1_partfun1(u1_lattices(sK14_skl),k2_zfmisc_1(u1_struct_0(sK14_skl),u1_struct_0(sK14_skl)),u1_struct_0(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ609_spl])],[split_symbol_definition]) ).
fof(f3871,plain,
( sQ609_spl
| ~ sQ27_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3858,f577,f590,f3868]) ).
fof(f3872,definition,
( sQ610_spl
<=> v2_binop_1(u1_lattices(sK14_skl),u1_struct_0(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ610_spl])],[split_symbol_definition]) ).
fof(f3875,plain,
( sQ610_spl
| ~ sQ27_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3859,f577,f590,f3872]) ).
fof(f3876,definition,
( sQ611_spl
<=> v1_relat_1(u1_lattices(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ611_spl])],[split_symbol_definition]) ).
fof(f3879,plain,
( sQ611_spl
| ~ sQ27_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3860,f577,f590,f3876]) ).
fof(f3881,definition,
( sQ612_spl
<=> v1_binop_1(u1_lattices(sK14_skl),u1_struct_0(sK14_skl)) ),
introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition]) ).
fof(f3884,plain,
( sQ612_spl
| ~ sQ28_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3862,f577,f594,f3881]) ).
fof(f3886,plain,
( sQ335_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3867,f2346]) ).
fof(f3887,plain,
sQ335_spl,
inference(contradiction_clause,[status(thm)],[f3886]) ).
fof(f3916,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ566_spl
| ~ sQ131_spl
| r2_hidden(k7_lattices(k1_lattice2(sK0_skl),X0),sK1_skl)
| r2_hidden(X0,sK1_skl)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0_skl)))
| ~ m1_filter_0(sK1_skl,k1_lattice2(sK0_skl))
| ~ l3_lattices(k1_lattice2(sK0_skl))
| ~ v17_lattices(k1_lattice2(sK0_skl))
| ~ v10_lattices(k1_lattice2(sK0_skl))
| v3_struct_0(k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f449,f3627]) ).
fof(f3917,definition,
! [X0] :
( sQ617_spl
<=> ( r2_hidden(k7_lattices(k1_lattice2(sK0_skl),X0),sK1_skl)
| r2_hidden(X0,sK1_skl)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ617_spl])],[split_symbol_definition]) ).
fof(f3918,plain,
! [X0] :
( ~ sQ617_spl
| r2_hidden(k7_lattices(k1_lattice2(sK0_skl),X0),sK1_skl)
| r2_hidden(X0,sK1_skl)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0_skl))) ),
inference(component_clause,[status(thm)],[f3917]) ).
fof(f3920,plain,
( ~ sQ40_spl
| ~ sQ566_spl
| ~ sQ131_spl
| sQ617_spl
| ~ sQ570_spl
| ~ sQ65_spl
| ~ sQ12_spl
| ~ sQ73_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f3916,f839,f862,f521,f815,f3648,f3917,f1170,f3616,f654]) ).
fof(f3984,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| ~ sQ617_spl
| r2_hidden(k7_lattices(k1_lattice2(sK0_skl),sK2_skl),sK1_skl)
| r2_hidden(sK2_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f3918,f811]) ).
fof(f4000,definition,
( sQ627_spl
<=> r2_hidden(k7_lattices(k1_lattice2(sK0_skl),sK2_skl),sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).
fof(f4001,plain,
( ~ sQ627_spl
| r2_hidden(k7_lattices(k1_lattice2(sK0_skl),sK2_skl),sK1_skl) ),
inference(component_clause,[status(thm)],[f4000]) ).
fof(f4003,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| ~ sQ617_spl
| sQ627_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f3984,f461,f4000,f3917,f767,f806]) ).
fof(f4005,plain,
( ~ sQ583_spl
| ~ l1_struct_0(sK30_skl)
| v3_struct_0(sK30_skl) ),
inference(resolution,[status(thm)],[f3712,f241]) ).
fof(f4009,definition,
( sQ628_spl
<=> l1_struct_0(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition]) ).
fof(f4012,plain,
( ~ sQ583_spl
| ~ sQ628_spl
| sQ522_spl ),
inference(split_clause,[status(thm)],[f4005,f3419,f4009,f3711]) ).
fof(f4030,plain,
( ~ sQ595_spl
| ~ sQ1_spl
| ~ r2_hidden(sK2_skl,sK1_skl)
| ~ v1_filter_0(sK1_skl,k1_lattice2(sK0_skl))
| ~ m1_filter_0(sK1_skl,k1_lattice2(sK0_skl)) ),
inference(resolution,[status(thm)],[f465,f3775]) ).
fof(f4037,plain,
( ~ sQ595_spl
| ~ sQ1_spl
| ~ sQ0_spl
| ~ sQ569_spl
| ~ sQ570_spl ),
inference(split_clause,[status(thm)],[f4030,f3648,f3641,f461,f464,f3774]) ).
fof(f4045,plain,
( sQ569_spl
| ~ sQ40_spl
| ~ sQ566_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3643,f3627]) ).
fof(f4046,plain,
( sQ569_spl
| ~ sQ40_spl
| ~ sQ566_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f4045]) ).
fof(f4047,plain,
( ~ sQ627_spl
| ~ sQ356_spl
| ~ sQ59_spl
| r2_hidden(k7_lattices(sK0_skl,sK2_skl),sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f2491,f4001]) ).
fof(f4048,plain,
( sQ1_spl
| ~ sQ627_spl
| ~ sQ356_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f4047]) ).
fof(f4049,plain,
( sQ1_spl
| ~ sQ627_spl
| ~ sQ356_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f4048]) ).
fof(f4050,plain,
$false,
inference(sat_refutation,[status(thm)],[f467,f468,f480,f488,f490,f492,f494,f499,f504,f509,f516,f524,f526,f536,f589,f593,f597,f601,f605,f607,f609,f616,f624,f631,f639,f645,f649,f657,f659,f671,f673,f680,f688,f695,f703,f710,f718,f749,f757,f766,f770,f775,f780,f782,f793,f805,f809,f821,f823,f845,f849,f861,f876,f900,f904,f908,f915,f920,f940,f944,f948,f952,f961,f965,f969,f973,f997,f1001,f1005,f1009,f1013,f1028,f1046,f1073,f1089,f1096,f1100,f1104,f1108,f1112,f1116,f1120,f1122,f1124,f1129,f1134,f1139,f1145,f1153,f1155,f1169,f1173,f1180,f1183,f1191,f1193,f1232,f1236,f1240,f1244,f1252,f1262,f1266,f1270,f1274,f1282,f1301,f1305,f1309,f1313,f1321,f1331,f1335,f1339,f1343,f1351,f1361,f1365,f1371,f1375,f1385,f1389,f1393,f1397,f1405,f1417,f1421,f1425,f1430,f1439,f1442,f1447,f1449,f1457,f1461,f1465,f1484,f1488,f1492,f1496,f1500,f1503,f1504,f1533,f1540,f1544,f1548,f1552,f1559,f1575,f1579,f1583,f1587,f1591,f1595,f1599,f1603,f1605,f1607,f1615,f1619,f1623,f1635,f1639,f1643,f1666,f1670,f1674,f1692,f1700,f1704,f1708,f1712,f1718,f1719,f1727,f1740,f1744,f1748,f1755,f1764,f1768,f1772,f1779,f1788,f1790,f1801,f1805,f1809,f1814,f1830,f1834,f1838,f1842,f1846,f1854,f1865,f1869,f1873,f1878,f1894,f1898,f1902,f1907,f1923,f1927,f1931,f1936,f1952,f1956,f1960,f1965,f1977,f1982,f1989,f1993,f1999,f2003,f2010,f2014,f2031,f2035,f2046,f2050,f2070,f2074,f2097,f2101,f2110,f2119,f2123,f2127,f2131,f2147,f2151,f2155,f2159,f2172,f2176,f2180,f2187,f2207,f2211,f2215,f2216,f2220,f2225,f2236,f2240,f2244,f2245,f2249,f2254,f2265,f2269,f2273,f2274,f2278,f2283,f2294,f2298,f2302,f2303,f2307,f2312,f2323,f2327,f2331,f2332,f2336,f2341,f2347,f2349,f2352,f2353,f2364,f2368,f2372,f2373,f2377,f2382,f2393,f2397,f2401,f2402,f2406,f2434,f2438,f2442,f2446,f2450,f2454,f2458,f2462,f2466,f2470,f2474,f2514,f2516,f2562,f2566,f2570,f2574,f2578,f2582,f2586,f2593,f2597,f2601,f2605,f2609,f2613,f2617,f2621,f2625,f2629,f2633,f2637,f2641,f2645,f2649,f2653,f2657,f2661,f2665,f2669,f2673,f2677,f2681,f2683,f2685,f2687,f2695,f2697,f2704,f2711,f2729,f2734,f2740,f2744,f2750,f2754,f2761,f2765,f2769,f2778,f2780,f2792,f2796,f2800,f2804,f2808,f2812,f2820,f2836,f2841,f2859,f2864,f2868,f2869,f2883,f2887,f2891,f2895,f3096,f3098,f3100,f3107,f3121,f3125,f3129,f3133,f3140,f3155,f3159,f3163,f3167,f3172,f3219,f3223,f3227,f3231,f3235,f3239,f3243,f3247,f3254,f3258,f3262,f3266,f3270,f3274,f3278,f3282,f3286,f3290,f3294,f3298,f3302,f3306,f3310,f3314,f3318,f3322,f3326,f3330,f3334,f3338,f3342,f3344,f3355,f3359,f3363,f3372,f3380,f3382,f3428,f3432,f3436,f3440,f3444,f3448,f3452,f3456,f3463,f3467,f3471,f3475,f3479,f3483,f3487,f3491,f3495,f3499,f3503,f3507,f3511,f3515,f3519,f3523,f3527,f3531,f3535,f3539,f3543,f3547,f3551,f3553,f3555,f3563,f3565,f3568,f3578,f3582,f3586,f3590,f3594,f3602,f3611,f3615,f3619,f3635,f3639,f3651,f3655,f3661,f3670,f3674,f3678,f3682,f3689,f3698,f3702,f3706,f3710,f3717,f3737,f3741,f3773,f3780,f3782,f3784,f3786,f3801,f3805,f3809,f3820,f3833,f3834,f3843,f3871,f3875,f3879,f3884,f3887,f3920,f4003,f4012,f4037,f4046,f4049]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT323+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n009.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 20 23:36:57 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.45/0.88 % Refutation found
% 0.45/0.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.45/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.45/0.94 % Elapsed time: 0.506691 seconds
% 0.45/0.94 % CPU time: 3.335331 seconds
% 0.45/0.94 % Total memory used: 125.697 MB
% 0.45/0.94 % Net memory used: 123.627 MB
%------------------------------------------------------------------------------