%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT346+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:59:26 PM UTC 2026
% Result : Theorem 2.38s 1.77s
% Output : CNFRefutation 8.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 96
% Syntax : Number of formulae : 1444 ( 294 unt; 9 def)
% Number of atoms : 5629 ( 644 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 4892 (2034 ~;2232 |; 547 &)
% ( 5 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 49 ( 47 usr; 7 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 17 con; 0-3 aty)
% Number of variables : 1517 ( 1 sgn1475 !; 42 ?; 909 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_conlat_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f4,axiom,
! [X0] :
( l2_conlat_1(X0)
=> ( v4_conlat_1(X0)
=> X0 = g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
fof(f5,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f7,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f8,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f13,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f14,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lattice4) ).
fof(f15,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_conlat_2) ).
fof(f16,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( l2_conlat_1(g2_conlat_1(X0,X1,X2))
& v4_conlat_1(g2_conlat_1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g2_conlat_1) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f18,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_2) ).
fof(f19,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(f20,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f24,axiom,
! [X0] :
( v1_relat_1(X0)
=> v1_relat_1(k4_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f25,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f26,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(f28,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f30,axiom,
! [X0] :
( l2_conlat_1(X0)
=> l1_conlat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
fof(f31,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f32,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f33,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_lattice4(X2,X0,X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_lattice4) ).
fof(f36,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f38,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f41,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f42,axiom,
! [X0] :
( l2_conlat_1(X0)
=> m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
fof(f43,axiom,
? [X0] : l1_conlat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_conlat_1) ).
fof(f44,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).
fof(f45,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f46,axiom,
? [X0] : l2_conlat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_conlat_1) ).
fof(f47,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).
fof(f48,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).
fof(f49,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] : m1_lattice4(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_lattice4) ).
fof(f50,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f51,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f52,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f53,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ~ v1_xboole_0(u2_conlat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_1) ).
fof(f54,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_2) ).
fof(f55,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f56,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f57,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f58,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f59,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ~ v1_xboole_0(u1_conlat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_conlat_1) ).
fof(f60,axiom,
! [X0] :
( ( l3_lattices(X0)
& v4_lattice3(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v4_lattice3(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_conlat_2) ).
fof(f61,axiom,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(f62,axiom,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattice2) ).
fof(f63,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattices) ).
fof(f64,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_conlat_1) ).
fof(f65,axiom,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(f66,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f67,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_conlat_1) ).
fof(f68,axiom,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_lattice2) ).
fof(f69,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f70,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ! [X3,X4,X5] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g2_conlat_1) ).
fof(f71,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f72,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f73,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k6_relset_1) ).
fof(f74,axiom,
? [X0] :
( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc11_lattices) ).
fof(f75,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f76,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f77,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f78,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f79,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f80,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f81,axiom,
? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_lattices) ).
fof(f82,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f83,axiom,
? [X0] :
( v4_conlat_1(X0)
& l2_conlat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_conlat_1) ).
fof(f84,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f85,axiom,
? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_lattices) ).
fof(f86,axiom,
? [X0] :
( v4_conlat_1(X0)
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_conlat_1) ).
fof(f87,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_conlat_1) ).
fof(f88,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_conlat_1) ).
fof(f89,axiom,
? [X0] :
( v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_lattices) ).
fof(f90,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f91,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f92,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_filter_1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_filter_1) ).
fof(f93,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f94,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r1_filter_1(X0,X1)
=> r1_filter_1(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).
fof(f95,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f96,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_conlat_2) ).
fof(f97,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f98,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f99,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f100,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f101,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f102,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f103,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f104,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f93]) ).
fof(f105,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f62]) ).
fof(f107,plain,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f68]) ).
fof(f108,plain,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f65]) ).
fof(f109,plain,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f61]) ).
fof(f110,plain,
? [X0] :
( l2_conlat_1(X0)
& ~ v3_conlat_1(X0)
& ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f111,plain,
? [X0] :
( l2_conlat_1(X0)
& ~ v3_conlat_1(X0)
& ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f113,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| ~ v4_conlat_1(X0)
| X0 = g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f115,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| ~ v4_conlat_1(X0)
| X0 = g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f119,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f120,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f130,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f131,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f133,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) ) ) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f135,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| ( l2_conlat_1(g2_conlat_1(X0,X1,X2))
& v4_conlat_1(g2_conlat_1(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f140,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f142,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f144,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_relat_1(k4_relat_1(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f146,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f147,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) ) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f149,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| l1_conlat_1(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f150,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f151,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f152,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f153,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X2] :
( ~ m1_lattice4(X2,X0,X1)
| ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f155,plain,
! [X0] :
( ~ l1_lattices(X0)
| ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f156,plain,
! [X0] :
( ~ l2_lattices(X0)
| ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f157,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f158,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X2] : m1_lattice4(X2,X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f159,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ? [X2] : m1_lattice4(X2,X0,X1) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f161,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(flattening,[],[f160]) ).
fof(f162,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f163,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f165,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f167,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f169,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v4_lattice3(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f171,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v4_lattice3(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f173,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(ennf_transformation,[],[f106]) ).
fof(f175,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(flattening,[],[f174]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f177,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
inference(flattening,[],[f176]) ).
fof(f178,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f179,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f181,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f183,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f182]) ).
fof(f184,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f185,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(flattening,[],[f184]) ).
fof(f186,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(ennf_transformation,[],[f107]) ).
fof(f187,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(flattening,[],[f186]) ).
fof(f188,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f189,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| ! [X3,X4,X5] :
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(ennf_transformation,[],[f72]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 ),
inference(ennf_transformation,[],[f73]) ).
fof(f195,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f196,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f84]) ).
fof(f197,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f199,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) ) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f201,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) ) ),
inference(flattening,[],[f200]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(ennf_transformation,[],[f90]) ).
fof(f203,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f204,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,X0) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X1,X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f206,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X1,X0) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f208,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(ennf_transformation,[],[f96]) ).
fof(f209,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f211,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f105]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(ennf_transformation,[],[f99]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f213]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f216,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f101]) ).
fof(f217,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f102]) ).
fof(f218,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f229,plain,
( l2_conlat_1(sK5)
& ~ v3_conlat_1(sK5)
& ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK5)),k1_lattice2(k11_conlat_1(sK5))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f111]) ).
fof(f230,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r1_filter_1(X0,X1)
| ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) )
& ( ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) )
| r1_filter_1(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f231,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r1_filter_1(X0,X1)
| ? [X3] :
( v3_lattice4(X3,X0,X1)
& m1_lattice4(X3,X0,X1) ) )
& ( ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) )
| r1_filter_1(X0,X1) ) ) ) ),
inference(rectify,[],[f230]) ).
fof(f232,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ( ( ~ r1_filter_1(X0,X1)
| ( v3_lattice4(sK6(X0,X1),X0,X1)
& m1_lattice4(sK6(X0,X1),X0,X1) ) )
& ( ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) )
| r1_filter_1(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1))],[f231]) ).
fof(f233,plain,
l1_conlat_1(sK7),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f43]) ).
fof(f234,plain,
l1_lattices(sK8),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f44]) ).
fof(f235,plain,
l1_struct_0(sK9),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f45]) ).
fof(f236,plain,
l2_conlat_1(sK10),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f46]) ).
fof(f237,plain,
l2_lattices(sK11),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f47]) ).
fof(f238,plain,
l3_lattices(sK12),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f48]) ).
fof(f239,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_lattice4(sK13(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f159]) ).
fof(f240,plain,
! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0,X1))],[f50]) ).
fof(f241,plain,
! [X0] : m1_subset_1(sK15(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X1,sK15(X0))],[f51]) ).
fof(f242,plain,
! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f52]) ).
fof(f248,plain,
( v15_lattices(sK17)
& v14_lattices(sK17)
& v13_lattices(sK17)
& v10_lattices(sK17)
& v9_lattices(sK17)
& v8_lattices(sK17)
& v7_lattices(sK17)
& v6_lattices(sK17)
& v5_lattices(sK17)
& v4_lattices(sK17)
& v3_lattices(sK17)
& ~ v3_struct_0(sK17)
& l3_lattices(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f74]) ).
fof(f249,plain,
! [X0,X1] :
( v1_funct_2(sK18(X0,X1),X0,X1)
& v1_funct_1(sK18(X0,X1))
& v1_relat_1(sK18(X0,X1))
& m1_relset_1(sK18(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0,X1))],[f75]) ).
fof(f250,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ~ v1_xboole_0(sK19(X0))
& m1_subset_1(sK19(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X1,sK19(X0))],[f195]) ).
fof(f251,plain,
v1_xboole_0(sK20),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f77]) ).
fof(f252,plain,
! [X0,X1] :
( v1_funct_1(sK21(X0,X1))
& v1_relat_1(sK21(X0,X1))
& m1_relset_1(sK21(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X2,sK21(X0,X1))],[f78]) ).
fof(f253,plain,
! [X0] :
( v1_xboole_0(sK22(X0))
& m1_subset_1(sK22(X0),k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X1,sK22(X0))],[f79]) ).
fof(f254,plain,
~ v1_xboole_0(sK23),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X0,sK23)],[f80]) ).
fof(f255,plain,
( v3_lattices(sK24)
& l3_lattices(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X0,sK24)],[f81]) ).
fof(f256,plain,
( ~ v3_struct_0(sK25)
& l1_struct_0(sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X0,sK25)],[f82]) ).
fof(f257,plain,
( v4_conlat_1(sK26)
& l2_conlat_1(sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X0,sK26)],[f83]) ).
fof(f258,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK27(X0))
& m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X1,sK27(X0))],[f197]) ).
fof(f259,plain,
( v3_lattices(sK28)
& ~ v3_struct_0(sK28)
& l3_lattices(sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(X0,sK28)],[f85]) ).
fof(f260,plain,
( v4_conlat_1(sK29)
& ~ v3_conlat_1(sK29)
& l2_conlat_1(sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X0,sK29)],[f86]) ).
fof(f261,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ( ~ v1_xboole_0(sK30(X0))
& m1_subset_1(sK30(X0),k1_zfmisc_1(u1_conlat_1(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X1,sK30(X0))],[f199]) ).
fof(f262,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ( ~ v1_xboole_0(sK31(X0))
& m1_subset_1(sK31(X0),k1_zfmisc_1(u2_conlat_1(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X1,sK31(X0))],[f201]) ).
fof(f263,plain,
( v10_lattices(sK32)
& v9_lattices(sK32)
& v8_lattices(sK32)
& v7_lattices(sK32)
& v6_lattices(sK32)
& v5_lattices(sK32)
& v4_lattices(sK32)
& v3_lattices(sK32)
& ~ v3_struct_0(sK32)
& l3_lattices(sK32) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X0,sK32)],[f89]) ).
fof(f264,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f265,plain,
l2_conlat_1(sK5),
inference(cnf_transformation,[],[f229]) ).
fof(f266,plain,
~ v3_conlat_1(sK5),
inference(cnf_transformation,[],[f229]) ).
fof(f267,plain,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK5)),k1_lattice2(k11_conlat_1(sK5))),
inference(cnf_transformation,[],[f229]) ).
fof(f268,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f113]) ).
fof(f269,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| ~ v4_conlat_1(X0)
| g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f115]) ).
fof(f270,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f275,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v7_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f276,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v6_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f277,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v5_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f278,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v4_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f293,plain,
! [X2,X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f296,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r1_filter_1(X0,X1)
| m1_lattice4(sK6(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f297,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1)
| r1_filter_1(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f298,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
inference(cnf_transformation,[],[f135]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| l2_conlat_1(g2_conlat_1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| v4_conlat_1(g2_conlat_1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| l3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f303,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(cnf_transformation,[],[f140]) ).
fof(f304,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f305,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f306,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f307,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f308,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f309,plain,
! [X0] :
( ~ v1_relat_1(X0)
| v1_relat_1(k4_relat_1(X0)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f311,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l2_conlat_1(k7_conlat_2(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f312,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v4_conlat_1(k7_conlat_2(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f313,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v3_conlat_1(k7_conlat_2(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f314,plain,
! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f315,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f316,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f317,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f318,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f319,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1)
| m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1)
| v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f321,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1)
| v1_funct_1(X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f154]) ).
fof(f323,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f324,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f325,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f326,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f328,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f329,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f330,plain,
l1_conlat_1(sK7),
inference(cnf_transformation,[],[f233]) ).
fof(f331,plain,
l1_lattices(sK8),
inference(cnf_transformation,[],[f234]) ).
fof(f332,plain,
l1_struct_0(sK9),
inference(cnf_transformation,[],[f235]) ).
fof(f333,plain,
l2_conlat_1(sK10),
inference(cnf_transformation,[],[f236]) ).
fof(f334,plain,
l2_lattices(sK11),
inference(cnf_transformation,[],[f237]) ).
fof(f335,plain,
l3_lattices(sK12),
inference(cnf_transformation,[],[f238]) ).
fof(f336,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_lattice4(sK13(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f337,plain,
! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f240]) ).
fof(f338,plain,
! [X0] : m1_subset_1(sK15(X0),X0),
inference(cnf_transformation,[],[f241]) ).
fof(f339,plain,
! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1),
inference(cnf_transformation,[],[f242]) ).
fof(f340,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f354,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f356,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f357,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f358,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f57]) ).
fof(f359,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f360,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(cnf_transformation,[],[f169]) ).
fof(f371,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f375,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f173]) ).
fof(f379,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0)
| ~ v3_struct_0(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f391,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f395,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f396,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f407,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f411,plain,
! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f187]) ).
fof(f421,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,X0,X1)
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f190]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,X0,X1)
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f190]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,X0,X1)
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f190]) ).
fof(f425,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f192]) ).
fof(f426,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f192]) ).
fof(f427,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f192]) ).
fof(f428,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f194]) ).
fof(f433,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f248]) ).
fof(f436,plain,
v7_lattices(sK17),
inference(cnf_transformation,[],[f248]) ).
fof(f437,plain,
v6_lattices(sK17),
inference(cnf_transformation,[],[f248]) ).
fof(f438,plain,
v5_lattices(sK17),
inference(cnf_transformation,[],[f248]) ).
fof(f439,plain,
v4_lattices(sK17),
inference(cnf_transformation,[],[f248]) ).
fof(f440,plain,
v3_lattices(sK17),
inference(cnf_transformation,[],[f248]) ).
fof(f441,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f248]) ).
fof(f442,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f248]) ).
fof(f443,plain,
! [X0,X1] : v1_funct_2(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f249]) ).
fof(f444,plain,
! [X0,X1] : v1_funct_1(sK18(X0,X1)),
inference(cnf_transformation,[],[f249]) ).
fof(f445,plain,
! [X0,X1] : v1_relat_1(sK18(X0,X1)),
inference(cnf_transformation,[],[f249]) ).
fof(f446,plain,
! [X0,X1] : m1_relset_1(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f249]) ).
fof(f447,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK19(X0)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f448,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK19(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f449,plain,
v1_xboole_0(sK20),
inference(cnf_transformation,[],[f251]) ).
fof(f450,plain,
! [X0,X1] : v1_funct_1(sK21(X0,X1)),
inference(cnf_transformation,[],[f252]) ).
fof(f451,plain,
! [X0,X1] : v1_relat_1(sK21(X0,X1)),
inference(cnf_transformation,[],[f252]) ).
fof(f452,plain,
! [X0,X1] : m1_relset_1(sK21(X0,X1),X0,X1),
inference(cnf_transformation,[],[f252]) ).
fof(f453,plain,
! [X0] : v1_xboole_0(sK22(X0)),
inference(cnf_transformation,[],[f253]) ).
fof(f454,plain,
! [X0] : m1_subset_1(sK22(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f253]) ).
fof(f455,plain,
~ v1_xboole_0(sK23),
inference(cnf_transformation,[],[f254]) ).
fof(f456,plain,
v3_lattices(sK24),
inference(cnf_transformation,[],[f255]) ).
fof(f457,plain,
l3_lattices(sK24),
inference(cnf_transformation,[],[f255]) ).
fof(f458,plain,
~ v3_struct_0(sK25),
inference(cnf_transformation,[],[f256]) ).
fof(f459,plain,
l1_struct_0(sK25),
inference(cnf_transformation,[],[f256]) ).
fof(f460,plain,
v4_conlat_1(sK26),
inference(cnf_transformation,[],[f257]) ).
fof(f461,plain,
l2_conlat_1(sK26),
inference(cnf_transformation,[],[f257]) ).
fof(f462,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK27(X0)) ),
inference(cnf_transformation,[],[f258]) ).
fof(f463,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f258]) ).
fof(f464,plain,
v3_lattices(sK28),
inference(cnf_transformation,[],[f259]) ).
fof(f465,plain,
~ v3_struct_0(sK28),
inference(cnf_transformation,[],[f259]) ).
fof(f466,plain,
l3_lattices(sK28),
inference(cnf_transformation,[],[f259]) ).
fof(f467,plain,
v4_conlat_1(sK29),
inference(cnf_transformation,[],[f260]) ).
fof(f468,plain,
~ v3_conlat_1(sK29),
inference(cnf_transformation,[],[f260]) ).
fof(f469,plain,
l2_conlat_1(sK29),
inference(cnf_transformation,[],[f260]) ).
fof(f470,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(sK30(X0)) ),
inference(cnf_transformation,[],[f261]) ).
fof(f471,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_conlat_1(X0))) ),
inference(cnf_transformation,[],[f261]) ).
fof(f472,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| ~ v1_xboole_0(sK31(X0)) ),
inference(cnf_transformation,[],[f262]) ).
fof(f473,plain,
! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| m1_subset_1(sK31(X0),k1_zfmisc_1(u2_conlat_1(X0))) ),
inference(cnf_transformation,[],[f262]) ).
fof(f474,plain,
v10_lattices(sK32),
inference(cnf_transformation,[],[f263]) ).
fof(f477,plain,
v7_lattices(sK32),
inference(cnf_transformation,[],[f263]) ).
fof(f478,plain,
v6_lattices(sK32),
inference(cnf_transformation,[],[f263]) ).
fof(f479,plain,
v5_lattices(sK32),
inference(cnf_transformation,[],[f263]) ).
fof(f480,plain,
v4_lattices(sK32),
inference(cnf_transformation,[],[f263]) ).
fof(f481,plain,
v3_lattices(sK32),
inference(cnf_transformation,[],[f263]) ).
fof(f482,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f263]) ).
fof(f483,plain,
l3_lattices(sK32),
inference(cnf_transformation,[],[f263]) ).
fof(f484,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f202]) ).
fof(f485,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f486,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f487,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_filter_1(X0,X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f488,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f104]) ).
fof(f489,plain,
! [X0,X1] :
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1)
| r1_filter_1(X1,X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f490,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f491,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(cnf_transformation,[],[f209]) ).
fof(f492,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f493,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f212]) ).
fof(f494,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f214]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f496,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f216]) ).
fof(f497,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f498,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_49,negated_conjecture,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK5)),k1_lattice2(k11_conlat_1(sK5))),
inference(cnf_transformation,[],[f267]) ).
tcf(c_50,negated_conjecture,
~ v3_conlat_1(sK5),
inference(cnf_transformation,[],[f266]) ).
tcf(c_51,negated_conjecture,
l2_conlat_1(sK5),
inference(cnf_transformation,[],[f265]) ).
tcf(c_52,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 )
| ~ l3_lattices(X0)
| ~ v3_lattices(X0) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_53,plain,
! [X0: $i] :
( ( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0 )
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_56,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v4_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_58,plain,
! [X0: $i] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_59,plain,
! [X0: $i] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| r1_filter_1(X1,X2)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ v3_lattice4(X0,X1,X2)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_lattice4(sK6(X0,X1),X0,X1)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ r1_filter_1(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_73,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ( g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) = k7_conlat_2(X0) )
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( l2_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_lattices(g3_lattices(X1,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( l3_lattices(g3_lattices(X1,X0,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_78,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_79,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_80,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_81,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_82,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_83,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_84,plain,
! [X0: $i] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_86,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ v3_conlat_1(k7_conlat_2(X0)) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_87,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v4_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_88,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| l2_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_89,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_90,plain,
! [X0: $i] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_91,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_92,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_93,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_98,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_99,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_100,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_101,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_102,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_103,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_104,plain,
! [X0: $i] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_105,plain,
l1_conlat_1(sK7),
inference(cnf_transformation,[],[f330]) ).
tcf(c_106,plain,
l1_lattices(sK8),
inference(cnf_transformation,[],[f331]) ).
tcf(c_107,plain,
l1_struct_0(sK9),
inference(cnf_transformation,[],[f332]) ).
tcf(c_108,plain,
l2_conlat_1(sK10),
inference(cnf_transformation,[],[f333]) ).
tcf(c_109,plain,
l2_lattices(sK11),
inference(cnf_transformation,[],[f334]) ).
tcf(c_110,plain,
l3_lattices(sK12),
inference(cnf_transformation,[],[f335]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| m1_lattice4(sK13(X0,X1),X0,X1)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f337]) ).
tcf(c_113,plain,
! [X0: $i] : m1_subset_1(sK15(X0),X0),
inference(cnf_transformation,[],[f338]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK16(X0,X1),X0,X1),
inference(cnf_transformation,[],[f339]) ).
tcf(c_115,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l1_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_129,plain,
! [X0: $i] :
( sP0(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_130,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_132,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_133,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f358]) ).
tcf(c_134,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f359]) ).
tcf(c_135,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l1_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_146,plain,
! [X0: $i] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_147,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0) ),
inference(cnf_transformation,[],[f375]) ).
tcf(c_151,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0) ),
inference(cnf_transformation,[],[f379]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(X1,X0,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_166,plain,
! [X0: $i] :
( sP2(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_167,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_182,plain,
! [X0: $i] :
( sP3(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f407]) ).
tcf(c_183,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_196,plain,
! [X0: $i] :
( sP4(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f426]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f425]) ).
tcf(c_203,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(X0)) = X0 )
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X1,X2,k6_relset_1(X1,X2,X0)) = X0 )
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f429]) ).
tcf(c_205,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f442]) ).
tcf(c_206,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f441]) ).
tcf(c_207,plain,
v3_lattices(sK17),
inference(cnf_transformation,[],[f440]) ).
tcf(c_208,plain,
v4_lattices(sK17),
inference(cnf_transformation,[],[f439]) ).
tcf(c_209,plain,
v5_lattices(sK17),
inference(cnf_transformation,[],[f438]) ).
tcf(c_210,plain,
v6_lattices(sK17),
inference(cnf_transformation,[],[f437]) ).
tcf(c_211,plain,
v7_lattices(sK17),
inference(cnf_transformation,[],[f436]) ).
tcf(c_214,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f433]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f446]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK18(X0,X1)),
inference(cnf_transformation,[],[f445]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK18(X0,X1)),
inference(cnf_transformation,[],[f444]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i] : v1_funct_2(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f443]) ).
tcf(c_222,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK19(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f448]) ).
tcf(c_223,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK19(X0)) ),
inference(cnf_transformation,[],[f447]) ).
tcf(c_224,plain,
v1_xboole_0(sK20),
inference(cnf_transformation,[],[f449]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK21(X0,X1),X0,X1),
inference(cnf_transformation,[],[f452]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK21(X0,X1)),
inference(cnf_transformation,[],[f451]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK21(X0,X1)),
inference(cnf_transformation,[],[f450]) ).
tcf(c_228,plain,
! [X0: $i] : m1_subset_1(sK22(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f454]) ).
tcf(c_229,plain,
! [X0: $i] : v1_xboole_0(sK22(X0)),
inference(cnf_transformation,[],[f453]) ).
tcf(c_230,plain,
~ v1_xboole_0(sK23),
inference(cnf_transformation,[],[f455]) ).
tcf(c_231,plain,
l3_lattices(sK24),
inference(cnf_transformation,[],[f457]) ).
tcf(c_232,plain,
v3_lattices(sK24),
inference(cnf_transformation,[],[f456]) ).
tcf(c_233,plain,
l1_struct_0(sK25),
inference(cnf_transformation,[],[f459]) ).
tcf(c_234,plain,
~ v3_struct_0(sK25),
inference(cnf_transformation,[],[f458]) ).
tcf(c_235,plain,
l2_conlat_1(sK26),
inference(cnf_transformation,[],[f461]) ).
tcf(c_236,plain,
v4_conlat_1(sK26),
inference(cnf_transformation,[],[f460]) ).
tcf(c_237,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f463]) ).
tcf(c_238,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK27(X0)) ),
inference(cnf_transformation,[],[f462]) ).
tcf(c_239,plain,
l3_lattices(sK28),
inference(cnf_transformation,[],[f466]) ).
tcf(c_240,plain,
~ v3_struct_0(sK28),
inference(cnf_transformation,[],[f465]) ).
tcf(c_241,plain,
v3_lattices(sK28),
inference(cnf_transformation,[],[f464]) ).
tcf(c_242,plain,
l2_conlat_1(sK29),
inference(cnf_transformation,[],[f469]) ).
tcf(c_243,plain,
~ v3_conlat_1(sK29),
inference(cnf_transformation,[],[f468]) ).
tcf(c_244,plain,
v4_conlat_1(sK29),
inference(cnf_transformation,[],[f467]) ).
tcf(c_245,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_conlat_1(X0)))
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_246,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l1_conlat_1(X0)
| ~ v1_xboole_0(sK30(X0)) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_247,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_subset_1(sK31(X0),k1_zfmisc_1(u2_conlat_1(X0)))
| ~ l1_conlat_1(X0) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_248,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l1_conlat_1(X0)
| ~ v1_xboole_0(sK31(X0)) ),
inference(cnf_transformation,[],[f472]) ).
tcf(c_249,plain,
l3_lattices(sK32),
inference(cnf_transformation,[],[f483]) ).
tcf(c_250,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f482]) ).
tcf(c_251,plain,
v3_lattices(sK32),
inference(cnf_transformation,[],[f481]) ).
tcf(c_252,plain,
v4_lattices(sK32),
inference(cnf_transformation,[],[f480]) ).
tcf(c_253,plain,
v5_lattices(sK32),
inference(cnf_transformation,[],[f479]) ).
tcf(c_254,plain,
v6_lattices(sK32),
inference(cnf_transformation,[],[f478]) ).
tcf(c_255,plain,
v7_lattices(sK32),
inference(cnf_transformation,[],[f477]) ).
tcf(c_258,plain,
v10_lattices(sK32),
inference(cnf_transformation,[],[f474]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X1,X2,X0) = k4_relat_1(X0) )
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r1_filter_1(X0,X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_263,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f488]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| r1_filter_1(X1,X0)
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ r1_filter_1(X0,X1) ),
inference(cnf_transformation,[],[f489]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_266,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f491]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f492]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f493]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_271,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_261]) ).
tcf(c_453,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_92]) ).
tcf(c_455,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_93]) ).
tcf(c_457,plain,
! [X0: $i] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
tcf(c_493,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_89]) ).
tcf(c_495,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
tcf(c_497,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
tcf(c_499,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
tcf(c_503,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
tcf(c_505,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
tcf(c_507,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
tcf(c_509,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_103]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_261,c_74]) ).
tcf(c_517,plain,
! [X0: $i,X1: $i,X2: $i] :
( l2_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_261,c_75]) ).
tcf(c_519,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_261,c_85]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X1,X2,k6_relset_1(X1,X2,X0)) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_261,c_204]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X1,X2,X0) = k4_relat_1(X0) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_261,c_259]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_268]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_68,c_447]) ).
tcf(c_3109,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ( X0 != X2 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_263,c_641]) ).
tcf(c_3110,plain,
! [X0: $i] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(unflattening,[status(thm)],[c_3109]) ).
tcf(c_3221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| v3_struct_0(X2)
| v3_conlat_1(X0)
| r1_filter_1(X2,X3)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X3)
| ~ l3_lattices(X2)
| ~ l2_conlat_1(X0)
| ~ m1_lattice4(X1,X2,X3)
| ( k10_conlat_2(X0) != X1 )
| ( k1_lattice2(k11_conlat_1(X0)) != X2 )
| ( k11_conlat_1(k7_conlat_2(X0)) != X3 ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_266]) ).
tcf(c_3222,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
inference(unflattening,[status(thm)],[c_3221]) ).
tcf(c_3224,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_3222,c_78,c_3222]) ).
tcf(c_3444,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK27(X0))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_238,c_107]) ).
tcf(c_3445,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(sK27(sK9)) ),
inference(unflattening,[status(thm)],[c_3444]) ).
tcf(c_3452,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_237,c_107]) ).
tcf(c_3453,plain,
( v3_struct_0(sK9)
| m1_subset_1(sK27(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(unflattening,[status(thm)],[c_3452]) ).
tcf(c_3460,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK9 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_107]) ).
tcf(c_3461,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(u1_struct_0(sK9)) ),
inference(unflattening,[status(thm)],[c_3460]) ).
tcf(c_3468,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK27(X0))
| ( X0 != sK25 ) ),
inference(resolution_lifted,[status(thm)],[c_238,c_233]) ).
tcf(c_3469,plain,
( v3_struct_0(sK25)
| ~ v1_xboole_0(sK27(sK25)) ),
inference(unflattening,[status(thm)],[c_3468]) ).
tcf(c_3475,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK25 ) ),
inference(resolution_lifted,[status(thm)],[c_237,c_233]) ).
tcf(c_3476,plain,
( v3_struct_0(sK25)
| m1_subset_1(sK27(sK25),k1_zfmisc_1(u1_struct_0(sK25))) ),
inference(unflattening,[status(thm)],[c_3475]) ).
tcf(c_3482,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK25 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_233]) ).
tcf(c_3483,plain,
( v3_struct_0(sK25)
| ~ v1_xboole_0(u1_struct_0(sK25)) ),
inference(unflattening,[status(thm)],[c_3482]) ).
tcf(c_3516,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(sK31(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_457,c_248]) ).
tcf(c_3517,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(sK31(X0)) ),
inference(unflattening,[status(thm)],[c_3516]) ).
tcf(c_3528,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| m1_subset_1(sK31(X1),k1_zfmisc_1(u2_conlat_1(X1)))
| ~ l2_conlat_1(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_457,c_247]) ).
tcf(c_3529,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_subset_1(sK31(X0),k1_zfmisc_1(u2_conlat_1(X0)))
| ~ l2_conlat_1(X0) ),
inference(unflattening,[status(thm)],[c_3528]) ).
tcf(c_3540,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(sK30(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_457,c_246]) ).
tcf(c_3541,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(sK30(X0)) ),
inference(unflattening,[status(thm)],[c_3540]) ).
tcf(c_3552,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| m1_subset_1(sK30(X1),k1_zfmisc_1(u1_conlat_1(X1)))
| ~ l2_conlat_1(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_457,c_245]) ).
tcf(c_3553,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_conlat_1(X0)))
| ~ l2_conlat_1(X0) ),
inference(unflattening,[status(thm)],[c_3552]) ).
tcf(c_3564,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_457,c_135]) ).
tcf(c_3565,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0)) ),
inference(unflattening,[status(thm)],[c_3564]) ).
tcf(c_3576,plain,
! [X0: $i,X1: $i] :
( v3_conlat_1(X1)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_457,c_115]) ).
tcf(c_3577,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0)) ),
inference(unflattening,[status(thm)],[c_3576]) ).
tcf(c_3588,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ v1_xboole_0(sK31(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_248,c_105]) ).
tcf(c_3589,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(sK31(sK7)) ),
inference(unflattening,[status(thm)],[c_3588]) ).
tcf(c_3596,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_subset_1(sK31(X0),k1_zfmisc_1(u2_conlat_1(X0)))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_247,c_105]) ).
tcf(c_3597,plain,
( v3_conlat_1(sK7)
| m1_subset_1(sK31(sK7),k1_zfmisc_1(u2_conlat_1(sK7))) ),
inference(unflattening,[status(thm)],[c_3596]) ).
tcf(c_3604,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ v1_xboole_0(sK30(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_246,c_105]) ).
tcf(c_3605,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(sK30(sK7)) ),
inference(unflattening,[status(thm)],[c_3604]) ).
tcf(c_3612,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| m1_subset_1(sK30(X0),k1_zfmisc_1(u1_conlat_1(X0)))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_245,c_105]) ).
tcf(c_3613,plain,
( v3_conlat_1(sK7)
| m1_subset_1(sK30(sK7),k1_zfmisc_1(u1_conlat_1(sK7))) ),
inference(unflattening,[status(thm)],[c_3612]) ).
tcf(c_3620,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ v1_xboole_0(u1_conlat_1(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_135,c_105]) ).
tcf(c_3621,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(u1_conlat_1(sK7)) ),
inference(unflattening,[status(thm)],[c_3620]) ).
tcf(c_3628,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ~ v1_xboole_0(u2_conlat_1(X0))
| ( X0 != sK7 ) ),
inference(resolution_lifted,[status(thm)],[c_115,c_105]) ).
tcf(c_3629,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(u2_conlat_1(sK7)) ),
inference(unflattening,[status(thm)],[c_3628]) ).
tcf(c_3676,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ v7_lattices(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_453,c_183]) ).
tcf(c_3677,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v7_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3676]) ).
tcf(c_3691,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1))
| ~ v6_lattices(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_453,c_167]) ).
tcf(c_3692,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v6_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3691]) ).
tcf(c_3706,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_453,c_499]) ).
tcf(c_3707,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3706]) ).
tcf(c_3715,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_453,c_497]) ).
tcf(c_3716,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3715]) ).
tcf(c_3724,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_453,c_495]) ).
tcf(c_3725,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3724]) ).
tcf(c_3733,plain,
! [X0: $i,X1: $i] :
( l1_struct_0(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_453,c_493]) ).
tcf(c_3734,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3733]) ).
tcf(c_3742,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v7_lattices(X0)
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_183,c_106]) ).
tcf(c_3743,plain,
( v3_struct_0(sK8)
| v1_relat_1(u1_lattices(sK8))
| ~ v7_lattices(sK8) ),
inference(unflattening,[status(thm)],[c_3742]) ).
tcf(c_3753,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u1_lattices(X0))
| ~ v6_lattices(X0)
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_167,c_106]) ).
tcf(c_3754,plain,
( v3_struct_0(sK8)
| v1_relat_1(u1_lattices(sK8))
| ~ v6_lattices(sK8) ),
inference(unflattening,[status(thm)],[c_3753]) ).
tcf(c_3764,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_499,c_106]) ).
tcf(c_3765,plain,
m2_relset_1(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)),
inference(unflattening,[status(thm)],[c_3764]) ).
tcf(c_3769,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_497,c_106]) ).
tcf(c_3770,plain,
v1_funct_2(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)),
inference(unflattening,[status(thm)],[c_3769]) ).
tcf(c_3774,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_495,c_106]) ).
tcf(c_3775,plain,
v1_funct_1(u1_lattices(sK8)),
inference(unflattening,[status(thm)],[c_3774]) ).
tcf(c_3779,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_493,c_106]) ).
tcf(c_3780,plain,
l1_struct_0(sK8),
inference(unflattening,[status(thm)],[c_3779]) ).
tcf(c_3810,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ v5_lattices(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_455,c_151]) ).
tcf(c_3811,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v5_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3810]) ).
tcf(c_3825,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1))
| ~ v4_lattices(X1)
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_455,c_147]) ).
tcf(c_3826,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v4_lattices(X0)
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3825]) ).
tcf(c_3840,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_455,c_509]) ).
tcf(c_3841,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3840]) ).
tcf(c_3849,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_455,c_507]) ).
tcf(c_3850,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3849]) ).
tcf(c_3858,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_455,c_505]) ).
tcf(c_3859,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_3858]) ).
tcf(c_3869,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v5_lattices(X0)
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_151,c_109]) ).
tcf(c_3870,plain,
( v3_struct_0(sK11)
| v1_relat_1(u2_lattices(sK11))
| ~ v5_lattices(sK11) ),
inference(unflattening,[status(thm)],[c_3869]) ).
tcf(c_3880,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_relat_1(u2_lattices(X0))
| ~ v4_lattices(X0)
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_147,c_109]) ).
tcf(c_3881,plain,
( v3_struct_0(sK11)
| v1_relat_1(u2_lattices(sK11))
| ~ v4_lattices(sK11) ),
inference(unflattening,[status(thm)],[c_3880]) ).
tcf(c_3891,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_509,c_109]) ).
tcf(c_3892,plain,
m2_relset_1(u2_lattices(sK11),k2_zfmisc_1(u1_struct_0(sK11),u1_struct_0(sK11)),u1_struct_0(sK11)),
inference(unflattening,[status(thm)],[c_3891]) ).
tcf(c_3896,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_507,c_109]) ).
tcf(c_3897,plain,
v1_funct_2(u2_lattices(sK11),k2_zfmisc_1(u1_struct_0(sK11),u1_struct_0(sK11)),u1_struct_0(sK11)),
inference(unflattening,[status(thm)],[c_3896]) ).
tcf(c_3901,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_505,c_109]) ).
tcf(c_3902,plain,
v1_funct_1(u2_lattices(sK11)),
inference(unflattening,[status(thm)],[c_3901]) ).
tcf(c_3906,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_503,c_109]) ).
tcf(c_3907,plain,
l1_struct_0(sK11),
inference(unflattening,[status(thm)],[c_3906]) ).
tcf(c_4173,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(sK27(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3734,c_238]) ).
tcf(c_4174,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(sK27(X0)) ),
inference(unflattening,[status(thm)],[c_4173]) ).
tcf(c_4185,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK27(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3734,c_237]) ).
tcf(c_4186,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_4185]) ).
tcf(c_4197,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_3734,c_132]) ).
tcf(c_4198,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_4197]) ).
tcf(c_4233,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK27(X0))
| ( X0 != sK25 ) ),
inference(resolution_lifted,[status(thm)],[c_238,c_233]) ).
tcf(c_4234,plain,
( v3_struct_0(sK25)
| ~ v1_xboole_0(sK27(sK25)) ),
inference(unflattening,[status(thm)],[c_4233]) ).
tcf(c_4235,plain,
~ v1_xboole_0(sK27(sK25)),
inference(global_subsumption_just,[status(thm)],[c_4234,c_234,c_3469]) ).
tcf(c_4240,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK25 ) ),
inference(resolution_lifted,[status(thm)],[c_237,c_233]) ).
tcf(c_4241,plain,
( v3_struct_0(sK25)
| m1_subset_1(sK27(sK25),k1_zfmisc_1(u1_struct_0(sK25))) ),
inference(unflattening,[status(thm)],[c_4240]) ).
tcf(c_4242,plain,
m1_subset_1(sK27(sK25),k1_zfmisc_1(u1_struct_0(sK25))),
inference(global_subsumption_just,[status(thm)],[c_4241,c_234,c_3476]) ).
tcf(c_4247,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK25 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_233]) ).
tcf(c_4248,plain,
( v3_struct_0(sK25)
| ~ v1_xboole_0(u1_struct_0(sK25)) ),
inference(unflattening,[status(thm)],[c_4247]) ).
tcf(c_4249,plain,
~ v1_xboole_0(u1_struct_0(sK25)),
inference(global_subsumption_just,[status(thm)],[c_4248,c_234,c_3483]) ).
tcf(c_4254,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK27(X0))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_238,c_3780]) ).
tcf(c_4255,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(sK27(sK8)) ),
inference(unflattening,[status(thm)],[c_4254]) ).
tcf(c_4262,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_237,c_3780]) ).
tcf(c_4263,plain,
( v3_struct_0(sK8)
| m1_subset_1(sK27(sK8),k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(unflattening,[status(thm)],[c_4262]) ).
tcf(c_4270,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK8 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_3780]) ).
tcf(c_4271,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(u1_struct_0(sK8)) ),
inference(unflattening,[status(thm)],[c_4270]) ).
tcf(c_4278,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK27(X0))
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_238,c_3907]) ).
tcf(c_4279,plain,
( v3_struct_0(sK11)
| ~ v1_xboole_0(sK27(sK11)) ),
inference(unflattening,[status(thm)],[c_4278]) ).
tcf(c_4286,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK27(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_237,c_3907]) ).
tcf(c_4287,plain,
( v3_struct_0(sK11)
| m1_subset_1(sK27(sK11),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(unflattening,[status(thm)],[c_4286]) ).
tcf(c_4294,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK11 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_3907]) ).
tcf(c_4295,plain,
( v3_struct_0(sK11)
| ~ v1_xboole_0(u1_struct_0(sK11)) ),
inference(unflattening,[status(thm)],[c_4294]) ).
tcf(c_6292,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3725]) ).
tcf(c_6294,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3716]) ).
tcf(c_6296,plain,
! [X0: $i] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3707]) ).
tcf(c_6298,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3859]) ).
tcf(c_6300,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3850]) ).
tcf(c_6302,plain,
! [X0: $i] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_3841]) ).
tcf(c_6340,plain,
! [X0: $i,X1: $i,X2: $i] :
( v4_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_515]) ).
tcf(c_6342,plain,
! [X0: $i,X1: $i,X2: $i] :
( l2_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_517]) ).
tcf(c_6344,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_519]) ).
tcf(c_6346,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X1,X2,k6_relset_1(X1,X2,X0)) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_521]) ).
tcf(c_6348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X1,X2,X0) = k4_relat_1(X0) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_523]) ).
tcf(c_6524,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(sK27(sK9)) ),
inference(prop_impl_just,[status(thm)],[c_3445]) ).
tcf(c_6528,plain,
( m1_subset_1(sK27(sK9),k1_zfmisc_1(u1_struct_0(sK9)))
| v3_struct_0(sK9) ),
inference(prop_impl_just,[status(thm)],[c_3453]) ).
tcf(c_6529,plain,
( v3_struct_0(sK9)
| m1_subset_1(sK27(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(renaming,[status(thm)],[c_6528]) ).
tcf(c_6530,plain,
( ~ v1_xboole_0(u1_struct_0(sK9))
| v3_struct_0(sK9) ),
inference(prop_impl_just,[status(thm)],[c_3461]) ).
tcf(c_6531,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(u1_struct_0(sK9)) ),
inference(renaming,[status(thm)],[c_6530]) ).
tcf(c_6536,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(sK31(sK7)) ),
inference(prop_impl_just,[status(thm)],[c_3589]) ).
tcf(c_6540,plain,
( m1_subset_1(sK31(sK7),k1_zfmisc_1(u2_conlat_1(sK7)))
| v3_conlat_1(sK7) ),
inference(prop_impl_just,[status(thm)],[c_3597]) ).
tcf(c_6541,plain,
( v3_conlat_1(sK7)
| m1_subset_1(sK31(sK7),k1_zfmisc_1(u2_conlat_1(sK7))) ),
inference(renaming,[status(thm)],[c_6540]) ).
tcf(c_6542,plain,
( ~ v1_xboole_0(sK30(sK7))
| v3_conlat_1(sK7) ),
inference(prop_impl_just,[status(thm)],[c_3605]) ).
tcf(c_6543,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(sK30(sK7)) ),
inference(renaming,[status(thm)],[c_6542]) ).
tcf(c_6544,plain,
( m1_subset_1(sK30(sK7),k1_zfmisc_1(u1_conlat_1(sK7)))
| v3_conlat_1(sK7) ),
inference(prop_impl_just,[status(thm)],[c_3613]) ).
tcf(c_6545,plain,
( v3_conlat_1(sK7)
| m1_subset_1(sK30(sK7),k1_zfmisc_1(u1_conlat_1(sK7))) ),
inference(renaming,[status(thm)],[c_6544]) ).
tcf(c_6546,plain,
( ~ v1_xboole_0(u1_conlat_1(sK7))
| v3_conlat_1(sK7) ),
inference(prop_impl_just,[status(thm)],[c_3621]) ).
tcf(c_6547,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(u1_conlat_1(sK7)) ),
inference(renaming,[status(thm)],[c_6546]) ).
tcf(c_6548,plain,
( ~ v1_xboole_0(u2_conlat_1(sK7))
| v3_conlat_1(sK7) ),
inference(prop_impl_just,[status(thm)],[c_3629]) ).
tcf(c_6549,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(u2_conlat_1(sK7)) ),
inference(renaming,[status(thm)],[c_6548]) ).
tcf(c_6560,plain,
( ~ v1_xboole_0(sK27(sK8))
| v3_struct_0(sK8) ),
inference(prop_impl_just,[status(thm)],[c_4255]) ).
tcf(c_6561,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(sK27(sK8)) ),
inference(renaming,[status(thm)],[c_6560]) ).
tcf(c_6562,plain,
( m1_subset_1(sK27(sK8),k1_zfmisc_1(u1_struct_0(sK8)))
| v3_struct_0(sK8) ),
inference(prop_impl_just,[status(thm)],[c_4263]) ).
tcf(c_6563,plain,
( v3_struct_0(sK8)
| m1_subset_1(sK27(sK8),k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(renaming,[status(thm)],[c_6562]) ).
tcf(c_6564,plain,
( ~ v1_xboole_0(u1_struct_0(sK8))
| v3_struct_0(sK8) ),
inference(prop_impl_just,[status(thm)],[c_4271]) ).
tcf(c_6565,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(u1_struct_0(sK8)) ),
inference(renaming,[status(thm)],[c_6564]) ).
tcf(c_6566,plain,
( ~ v1_xboole_0(sK27(sK11))
| v3_struct_0(sK11) ),
inference(prop_impl_just,[status(thm)],[c_4279]) ).
tcf(c_6567,plain,
( v3_struct_0(sK11)
| ~ v1_xboole_0(sK27(sK11)) ),
inference(renaming,[status(thm)],[c_6566]) ).
tcf(c_6568,plain,
( m1_subset_1(sK27(sK11),k1_zfmisc_1(u1_struct_0(sK11)))
| v3_struct_0(sK11) ),
inference(prop_impl_just,[status(thm)],[c_4287]) ).
tcf(c_6569,plain,
( v3_struct_0(sK11)
| m1_subset_1(sK27(sK11),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(renaming,[status(thm)],[c_6568]) ).
tcf(c_6570,plain,
( ~ v1_xboole_0(u1_struct_0(sK11))
| v3_struct_0(sK11) ),
inference(prop_impl_just,[status(thm)],[c_4295]) ).
tcf(c_6571,plain,
( v3_struct_0(sK11)
| ~ v1_xboole_0(u1_struct_0(sK11)) ),
inference(renaming,[status(thm)],[c_6570]) ).
tcf(c_10410,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_262]) ).
tcf(c_10411,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| r1_filter_1(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_262]) ).
tcf(c_10412,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_262]) ).
tcf(c_10413,definition,
iPr_def_12 = k7_conlat_2(sK5),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_10414,definition,
iPr_def_13 = k11_conlat_1(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_10415,definition,
iPr_def_14 = k11_conlat_1(sK5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_10416,definition,
iPr_def_15 = k1_lattice2(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_10417,negated_conjecture,
l2_conlat_1(sK5),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_10418,negated_conjecture,
~ v3_conlat_1(sK5),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_10419,negated_conjecture,
~ r1_filter_1(iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_49,c_10415,c_10416,c_10413,c_10414]) ).
tcf(c_10480,plain,
( v3_struct_0(sK17)
| ~ iPr_def_10
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17) ),
inference(instantiation,[status(thm)],[c_10410]) ).
tcf(c_14144,plain,
iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_10412,c_214,c_205,c_206,c_10480,c_10412]) ).
tcf(c_14148,plain,
( v3_lattices(iPr_def_15)
| ~ l3_lattices(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_82]) ).
tcf(c_14159,plain,
( l3_lattices(iPr_def_15)
| ~ l3_lattices(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_83]) ).
tcf(c_14368,plain,
( ( g2_conlat_1(u1_conlat_1(sK26),u2_conlat_1(sK26),u3_conlat_1(sK26)) = sK26 )
| ~ l2_conlat_1(sK26) ),
inference(superposition,[status(thm)],[c_236,c_53]) ).
tcf(c_14369,plain,
( ( g2_conlat_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = sK29 )
| ~ l2_conlat_1(sK29) ),
inference(superposition,[status(thm)],[c_244,c_53]) ).
tcf(c_14370,plain,
g2_conlat_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = sK29,
inference(forward_subsumption_resolution,[status(thm)],[c_14369,c_242]) ).
tcf(c_14371,plain,
g2_conlat_1(u1_conlat_1(sK26),u2_conlat_1(sK26),u3_conlat_1(sK26)) = sK26,
inference(forward_subsumption_resolution,[status(thm)],[c_14368,c_235]) ).
tcf(c_14650,plain,
( v3_conlat_1(sK5)
| ( g2_conlat_1(u2_conlat_1(sK5),u1_conlat_1(sK5),k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5))) = k7_conlat_2(sK5) ) ),
inference(superposition,[status(thm)],[c_10417,c_73]) ).
tcf(c_14651,plain,
( v3_conlat_1(sK10)
| ( g2_conlat_1(u2_conlat_1(sK10),u1_conlat_1(sK10),k6_relset_1(u1_conlat_1(sK10),u2_conlat_1(sK10),u3_conlat_1(sK10))) = k7_conlat_2(sK10) ) ),
inference(superposition,[status(thm)],[c_108,c_73]) ).
tcf(c_14652,plain,
( v3_conlat_1(sK26)
| ( g2_conlat_1(u2_conlat_1(sK26),u1_conlat_1(sK26),k6_relset_1(u1_conlat_1(sK26),u2_conlat_1(sK26),u3_conlat_1(sK26))) = k7_conlat_2(sK26) ) ),
inference(superposition,[status(thm)],[c_235,c_73]) ).
tcf(c_14653,plain,
( v3_conlat_1(sK29)
| ( g2_conlat_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29))) = k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_242,c_73]) ).
tcf(c_14654,plain,
g2_conlat_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29))) = k7_conlat_2(sK29),
inference(forward_subsumption_resolution,[status(thm)],[c_14653,c_243]) ).
tcf(c_14659,plain,
( v3_conlat_1(sK5)
| ( g2_conlat_1(u2_conlat_1(sK5),u1_conlat_1(sK5),k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5))) = iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_14650,c_10413]) ).
tcf(c_14660,plain,
g2_conlat_1(u2_conlat_1(sK5),u1_conlat_1(sK5),k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5))) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_14659,c_10418]) ).
tcf(c_14725,plain,
( sP0(sK5)
| v3_conlat_1(sK5) ),
inference(superposition,[status(thm)],[c_10417,c_129]) ).
tcf(c_14726,plain,
( sP0(sK10)
| v3_conlat_1(sK10) ),
inference(superposition,[status(thm)],[c_108,c_129]) ).
tcf(c_14727,plain,
( sP0(sK26)
| v3_conlat_1(sK26) ),
inference(superposition,[status(thm)],[c_235,c_129]) ).
tcf(c_14728,plain,
( sP0(sK29)
| v3_conlat_1(sK29) ),
inference(superposition,[status(thm)],[c_242,c_129]) ).
tcf(c_14729,plain,
sP0(sK29),
inference(forward_subsumption_resolution,[status(thm)],[c_14728,c_243]) ).
tcf(c_14734,plain,
sP0(sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_14725,c_10418]) ).
tcf(c_14782,plain,
( sP2(sK5)
| v3_conlat_1(sK5) ),
inference(superposition,[status(thm)],[c_10417,c_166]) ).
tcf(c_14783,plain,
( sP2(sK10)
| v3_conlat_1(sK10) ),
inference(superposition,[status(thm)],[c_108,c_166]) ).
tcf(c_14784,plain,
( sP2(sK26)
| v3_conlat_1(sK26) ),
inference(superposition,[status(thm)],[c_235,c_166]) ).
tcf(c_14785,plain,
( sP2(sK29)
| v3_conlat_1(sK29) ),
inference(superposition,[status(thm)],[c_242,c_166]) ).
tcf(c_14786,plain,
sP2(sK29),
inference(forward_subsumption_resolution,[status(thm)],[c_14785,c_243]) ).
tcf(c_14791,plain,
sP2(sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_14782,c_10418]) ).
tcf(c_14806,plain,
( sP3(sK5)
| v3_conlat_1(sK5) ),
inference(superposition,[status(thm)],[c_10417,c_182]) ).
tcf(c_14807,plain,
( sP3(sK10)
| v3_conlat_1(sK10) ),
inference(superposition,[status(thm)],[c_108,c_182]) ).
tcf(c_14808,plain,
( sP3(sK26)
| v3_conlat_1(sK26) ),
inference(superposition,[status(thm)],[c_235,c_182]) ).
tcf(c_14809,plain,
( sP3(sK29)
| v3_conlat_1(sK29) ),
inference(superposition,[status(thm)],[c_242,c_182]) ).
tcf(c_14810,plain,
sP3(sK29),
inference(forward_subsumption_resolution,[status(thm)],[c_14809,c_243]) ).
tcf(c_14815,plain,
sP3(sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_14806,c_10418]) ).
tcf(c_14868,plain,
k1_xboole_0 = sK20,
inference(superposition,[status(thm)],[c_224,c_271]) ).
tcf(c_14869,plain,
! [X0: $i] : sK22(X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_229,c_271]) ).
tcf(c_14871,plain,
! [X0: $i] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_228,c_14869]) ).
tcf(c_14898,plain,
( v3_lattices(iPr_def_13)
| v3_conlat_1(iPr_def_12)
| ~ l2_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_80]) ).
tcf(c_14914,plain,
( l3_lattices(iPr_def_14)
| v3_conlat_1(sK5)
| ~ l2_conlat_1(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_81]) ).
tcf(c_14915,plain,
( l3_lattices(iPr_def_13)
| v3_conlat_1(iPr_def_12)
| ~ l2_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_81]) ).
tcf(c_14919,plain,
l3_lattices(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_14914,c_10418,c_10417]) ).
tcf(c_14920,plain,
l3_lattices(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_14159,c_14919]) ).
tcf(c_14921,plain,
v3_lattices(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_14148,c_14919]) ).
tcf(c_14928,plain,
( v3_conlat_1(sK5)
| m1_lattice4(k10_conlat_2(sK5),k1_lattice2(iPr_def_14),k11_conlat_1(k7_conlat_2(sK5)))
| ~ l2_conlat_1(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_78]) ).
tcf(c_14929,plain,
( v3_conlat_1(iPr_def_12)
| m1_lattice4(k10_conlat_2(iPr_def_12),k1_lattice2(iPr_def_13),k11_conlat_1(k7_conlat_2(iPr_def_12)))
| ~ l2_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_78]) ).
tcf(c_14930,plain,
( v3_conlat_1(sK5)
| m1_lattice4(k10_conlat_2(sK5),k1_lattice2(k11_conlat_1(sK5)),k11_conlat_1(iPr_def_12))
| ~ l2_conlat_1(sK5) ),
inference(superposition,[status(thm)],[c_10413,c_78]) ).
tcf(c_14931,plain,
( v3_conlat_1(sK5)
| m1_lattice4(k10_conlat_2(sK5),iPr_def_15,iPr_def_13)
| ~ l2_conlat_1(sK5) ),
inference(light_normalisation,[status(thm)],[c_14930,c_10414,c_10415,c_10416]) ).
tcf(c_14932,plain,
m1_lattice4(k10_conlat_2(sK5),iPr_def_15,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_14931,c_10418,c_10417]) ).
tcf(c_14944,plain,
( v4_conlat_1(iPr_def_12)
| v3_conlat_1(sK5)
| ~ l2_conlat_1(sK5) ),
inference(superposition,[status(thm)],[c_10413,c_87]) ).
tcf(c_14945,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ( g2_conlat_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))) = k7_conlat_2(X0) )
| ~ l2_conlat_1(X0)
| ~ l2_conlat_1(k7_conlat_2(X0)) ),
inference(superposition,[status(thm)],[c_87,c_53]) ).
tcf(c_14946,plain,
v4_conlat_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_14944,c_10418,c_10417]) ).
tcf(c_14957,plain,
( l2_conlat_1(iPr_def_12)
| v3_conlat_1(sK5)
| ~ l2_conlat_1(sK5) ),
inference(superposition,[status(thm)],[c_10413,c_88]) ).
tcf(c_14958,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| sP3(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_88,c_182]) ).
tcf(c_14959,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| sP2(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_88,c_166]) ).
tcf(c_14960,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| sP0(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_88,c_129]) ).
tcf(c_14961,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v3_conlat_1(k7_conlat_2(X0))
| ( g2_conlat_1(u2_conlat_1(k7_conlat_2(X0)),u1_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0)))) = k7_conlat_2(k7_conlat_2(X0)) )
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_88,c_73]) ).
tcf(c_14962,plain,
l2_conlat_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_14957,c_10418,c_10417]) ).
tcf(c_14979,plain,
( v3_lattices(iPr_def_13)
| v3_conlat_1(iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14898,c_14962]) ).
tcf(c_14990,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK15(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),
inference(superposition,[status(thm)],[c_113,c_62]) ).
tcf(c_14991,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_relat_1(sK19(k2_zfmisc_1(X0,X1))) ),
inference(superposition,[status(thm)],[c_222,c_62]) ).
tcf(c_14992,plain,
! [X0: $i,X1: $i] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(superposition,[status(thm)],[c_3110,c_62]) ).
tcf(c_14993,plain,
v1_relat_1(k1_xboole_0),
inference(superposition,[status(thm)],[c_14871,c_62]) ).
tcf(c_15006,plain,
( v3_conlat_1(iPr_def_12)
| ~ v3_struct_0(iPr_def_13)
| ~ l2_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_79]) ).
tcf(c_15010,plain,
( ( g2_conlat_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = iPr_def_12 )
| ~ l2_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_14946,c_53]) ).
tcf(c_15013,plain,
( sP3(iPr_def_12)
| v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_14962,c_182]) ).
tcf(c_15014,plain,
( sP2(iPr_def_12)
| v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_14962,c_166]) ).
tcf(c_15015,plain,
( sP0(iPr_def_12)
| v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_14962,c_129]) ).
tcf(c_15016,plain,
( v3_conlat_1(iPr_def_12)
| ( g2_conlat_1(u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12))) = k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_14962,c_73]) ).
tcf(c_15074,plain,
g2_conlat_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_15010,c_14962,c_15010]) ).
tcf(c_15098,plain,
( v3_conlat_1(sK5)
| ~ l2_conlat_1(sK5)
| ~ v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10413,c_86]) ).
tcf(c_15099,plain,
~ v3_conlat_1(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_15098,c_10418,c_10417]) ).
tcf(c_15103,plain,
g2_conlat_1(u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12))) = k7_conlat_2(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_15016,c_15099]) ).
tcf(c_15104,plain,
sP0(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_15015,c_15099]) ).
tcf(c_15105,plain,
sP2(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_15014,c_15099]) ).
tcf(c_15106,plain,
sP3(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_15013,c_15099]) ).
tcf(c_15118,plain,
( v3_struct_0(iPr_def_14)
| ~ v3_struct_0(iPr_def_15)
| ~ l3_lattices(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_130]) ).
tcf(c_15130,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(k4_relat_1(X0))) = k4_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(superposition,[status(thm)],[c_84,c_203]) ).
tcf(c_15131,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK18(X0,X1))) = sK18(X0,X1),
inference(superposition,[status(thm)],[c_219,c_203]) ).
tcf(c_15132,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK21(X0,X1))) = sK21(X0,X1),
inference(superposition,[status(thm)],[c_226,c_203]) ).
tcf(c_15133,plain,
k4_relat_1(k4_relat_1(k1_xboole_0)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_14993,c_203]) ).
tcf(c_15144,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK14(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_112,c_260]) ).
tcf(c_15145,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK18(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_218,c_260]) ).
tcf(c_15146,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK21(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_225,c_260]) ).
tcf(c_15154,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK16(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_114,c_261]) ).
tcf(c_15162,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK15(X0),X0) ),
inference(superposition,[status(thm)],[c_113,c_267]) ).
tcf(c_15163,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK19(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_222,c_267]) ).
tcf(c_15164,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_3110,c_267]) ).
tcf(c_15165,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK25)))
| r2_hidden(sK27(sK25),k1_zfmisc_1(u1_struct_0(sK25))) ),
inference(superposition,[status(thm)],[c_4242,c_267]) ).
tcf(c_15166,plain,
( v3_conlat_1(sK7)
| v1_xboole_0(k1_zfmisc_1(u2_conlat_1(sK7)))
| r2_hidden(sK31(sK7),k1_zfmisc_1(u2_conlat_1(sK7))) ),
inference(superposition,[status(thm)],[c_6541,c_267]) ).
tcf(c_15167,plain,
( v3_conlat_1(sK7)
| v1_xboole_0(k1_zfmisc_1(u1_conlat_1(sK7)))
| r2_hidden(sK30(sK7),k1_zfmisc_1(u1_conlat_1(sK7))) ),
inference(superposition,[status(thm)],[c_6545,c_267]) ).
tcf(c_15168,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_14871,c_267]) ).
tcf(c_15171,plain,
! [X0: $i] : r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_15168,c_133]) ).
tcf(c_15172,plain,
! [X0: $i] : r2_hidden(X0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_15164,c_133]) ).
tcf(c_15173,plain,
r2_hidden(sK27(sK25),k1_zfmisc_1(u1_struct_0(sK25))),
inference(forward_subsumption_resolution,[status(thm)],[c_15165,c_133]) ).
tcf(c_15174,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK19(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15163,c_133]) ).
tcf(c_15177,plain,
( v3_conlat_1(sK7)
| r2_hidden(sK30(sK7),k1_zfmisc_1(u1_conlat_1(sK7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15167,c_133]) ).
tcf(c_15180,plain,
( v3_conlat_1(sK7)
| r2_hidden(sK31(sK7),k1_zfmisc_1(u2_conlat_1(sK7))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15166,c_133]) ).
tcf(c_15195,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v3_struct_0(k11_conlat_1(X0))
| v4_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ~ v10_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_81,c_56]) ).
tcf(c_15196,plain,
! [X0: $i] :
( v3_struct_0(k1_lattice2(X0))
| v4_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_83,c_56]) ).
tcf(c_15197,plain,
( v3_struct_0(sK12)
| v4_lattices(sK12)
| ~ v10_lattices(sK12) ),
inference(superposition,[status(thm)],[c_110,c_56]) ).
tcf(c_15199,plain,
( v3_struct_0(sK24)
| v4_lattices(sK24)
| ~ v10_lattices(sK24) ),
inference(superposition,[status(thm)],[c_231,c_56]) ).
tcf(c_15200,plain,
( v3_struct_0(sK28)
| v4_lattices(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_239,c_56]) ).
tcf(c_15203,plain,
( v3_struct_0(iPr_def_15)
| v4_lattices(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(superposition,[status(thm)],[c_14920,c_56]) ).
tcf(c_15207,plain,
( v4_lattices(sK28)
| ~ v10_lattices(sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15200,c_240]) ).
tcf(c_15227,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1))) = k2_zfmisc_1(X0,X1),
inference(superposition,[status(thm)],[c_14992,c_203]) ).
tcf(c_15237,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k1_xboole_0),
inference(superposition,[status(thm)],[c_15171,c_54]) ).
tcf(c_15241,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_15172,c_54]) ).
tcf(c_15249,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK15(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = sK15(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),
inference(superposition,[status(thm)],[c_14990,c_203]) ).
tcf(c_15260,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v5_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ~ v10_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_81,c_57]) ).
tcf(c_15261,plain,
! [X0: $i] :
( v5_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_83,c_57]) ).
tcf(c_15262,plain,
( v5_lattices(sK12)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12) ),
inference(superposition,[status(thm)],[c_110,c_57]) ).
tcf(c_15264,plain,
( v5_lattices(sK24)
| v3_struct_0(sK24)
| ~ v10_lattices(sK24) ),
inference(superposition,[status(thm)],[c_231,c_57]) ).
tcf(c_15265,plain,
( v5_lattices(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_239,c_57]) ).
tcf(c_15268,plain,
( v5_lattices(iPr_def_15)
| v3_struct_0(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(superposition,[status(thm)],[c_14920,c_57]) ).
tcf(c_15272,plain,
( v5_lattices(sK28)
| ~ v10_lattices(sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15265,c_240]) ).
tcf(c_15300,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v6_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ~ v10_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_81,c_58]) ).
tcf(c_15301,plain,
! [X0: $i] :
( v6_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_83,c_58]) ).
tcf(c_15302,plain,
( v6_lattices(sK12)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12) ),
inference(superposition,[status(thm)],[c_110,c_58]) ).
tcf(c_15304,plain,
( v6_lattices(sK24)
| v3_struct_0(sK24)
| ~ v10_lattices(sK24) ),
inference(superposition,[status(thm)],[c_231,c_58]) ).
tcf(c_15305,plain,
( v6_lattices(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_239,c_58]) ).
tcf(c_15308,plain,
( v6_lattices(iPr_def_15)
| v3_struct_0(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(superposition,[status(thm)],[c_14920,c_58]) ).
tcf(c_15312,plain,
( v6_lattices(sK28)
| ~ v10_lattices(sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15305,c_240]) ).
tcf(c_15340,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v7_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ~ v10_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_81,c_59]) ).
tcf(c_15341,plain,
! [X0: $i] :
( v7_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_83,c_59]) ).
tcf(c_15342,plain,
( v7_lattices(sK12)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12) ),
inference(superposition,[status(thm)],[c_110,c_59]) ).
tcf(c_15344,plain,
( v7_lattices(sK24)
| v3_struct_0(sK24)
| ~ v10_lattices(sK24) ),
inference(superposition,[status(thm)],[c_231,c_59]) ).
tcf(c_15345,plain,
( v7_lattices(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_239,c_59]) ).
tcf(c_15348,plain,
( v7_lattices(iPr_def_15)
| v3_struct_0(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(superposition,[status(thm)],[c_14920,c_59]) ).
tcf(c_15352,plain,
( v7_lattices(sK28)
| ~ v10_lattices(sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15345,c_240]) ).
tcf(c_15376,plain,
! [X0: $i] :
( m1_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_104,c_261]) ).
tcf(c_15413,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK15(X0)) ),
inference(superposition,[status(thm)],[c_15162,c_54]) ).
tcf(c_15428,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| sP4(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| ~ v10_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_81,c_196]) ).
tcf(c_15429,plain,
! [X0: $i] :
( sP4(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_83,c_196]) ).
tcf(c_15430,plain,
( sP4(sK12)
| v3_struct_0(sK12)
| ~ v10_lattices(sK12) ),
inference(superposition,[status(thm)],[c_110,c_196]) ).
tcf(c_15431,plain,
( sP4(sK17)
| v3_struct_0(sK17)
| ~ v10_lattices(sK17) ),
inference(superposition,[status(thm)],[c_205,c_196]) ).
tcf(c_15432,plain,
( sP4(sK24)
| v3_struct_0(sK24)
| ~ v10_lattices(sK24) ),
inference(superposition,[status(thm)],[c_231,c_196]) ).
tcf(c_15433,plain,
( sP4(sK28)
| v3_struct_0(sK28)
| ~ v10_lattices(sK28) ),
inference(superposition,[status(thm)],[c_239,c_196]) ).
tcf(c_15434,plain,
( sP4(sK32)
| v3_struct_0(sK32)
| ~ v10_lattices(sK32) ),
inference(superposition,[status(thm)],[c_249,c_196]) ).
tcf(c_15435,plain,
( sP4(iPr_def_14)
| v3_struct_0(iPr_def_14)
| ~ v10_lattices(iPr_def_14) ),
inference(superposition,[status(thm)],[c_14919,c_196]) ).
tcf(c_15436,plain,
( sP4(iPr_def_15)
| v3_struct_0(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(superposition,[status(thm)],[c_14920,c_196]) ).
tcf(c_15441,plain,
sP4(sK32),
inference(forward_subsumption_resolution,[status(thm)],[c_15434,c_250,c_258]) ).
tcf(c_15442,plain,
( sP4(sK28)
| ~ v10_lattices(sK28) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15433,c_240]) ).
tcf(c_15448,plain,
sP4(sK17),
inference(forward_subsumption_resolution,[status(thm)],[c_15431,c_206,c_214]) ).
tcf(c_15487,plain,
( v4_conlat_1(k7_conlat_2(sK29))
| ~ m2_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29)) ),
inference(superposition,[status(thm)],[c_14654,c_6340]) ).
tcf(c_15489,plain,
( v4_conlat_1(k7_conlat_2(iPr_def_12))
| ~ m2_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15103,c_6340]) ).
tcf(c_15490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))) = g2_conlat_1(X0,X1,X2) )
| ~ m2_relset_1(X2,X0,X1)
| ~ l2_conlat_1(g2_conlat_1(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_6340,c_53]) ).
tcf(c_15505,plain,
( l2_conlat_1(k7_conlat_2(sK29))
| ~ m2_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29)) ),
inference(superposition,[status(thm)],[c_14654,c_6342]) ).
tcf(c_15507,plain,
( l2_conlat_1(k7_conlat_2(iPr_def_12))
| ~ m2_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15103,c_6342]) ).
tcf(c_15508,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6342,c_182]) ).
tcf(c_15509,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6342,c_166]) ).
tcf(c_15510,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6342,c_129]) ).
tcf(c_15511,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_conlat_1(g2_conlat_1(X1,X2,X0))
| ( g2_conlat_1(u2_conlat_1(g2_conlat_1(X1,X2,X0)),u1_conlat_1(g2_conlat_1(X1,X2,X0)),k6_relset_1(u1_conlat_1(g2_conlat_1(X1,X2,X0)),u2_conlat_1(g2_conlat_1(X1,X2,X0)),u3_conlat_1(g2_conlat_1(X1,X2,X0)))) = k7_conlat_2(g2_conlat_1(X1,X2,X0)) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6342,c_73]) ).
tcf(c_15549,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_97,c_62]) ).
tcf(c_15550,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_97,c_267]) ).
tcf(c_15553,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15550,c_133]) ).
tcf(c_15564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(X3,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_97,c_269]) ).
tcf(c_15565,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK15(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_113,c_269]) ).
tcf(c_15566,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK19(X1)) ),
inference(superposition,[status(thm)],[c_222,c_269]) ).
tcf(c_15568,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(sK25))
| ~ r2_hidden(X0,sK27(sK25)) ),
inference(superposition,[status(thm)],[c_4242,c_269]) ).
tcf(c_15569,plain,
! [X0: $i] :
( v3_conlat_1(sK7)
| m1_subset_1(X0,u2_conlat_1(sK7))
| ~ r2_hidden(X0,sK31(sK7)) ),
inference(superposition,[status(thm)],[c_6541,c_269]) ).
tcf(c_15570,plain,
! [X0: $i] :
( v3_conlat_1(sK7)
| m1_subset_1(X0,u1_conlat_1(sK7))
| ~ r2_hidden(X0,sK30(sK7)) ),
inference(superposition,[status(thm)],[c_6545,c_269]) ).
tcf(c_15571,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_14871,c_269]) ).
tcf(c_15602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_97,c_270]) ).
tcf(c_15603,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK15(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_113,c_270]) ).
tcf(c_15609,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_14871,c_270]) ).
tcf(c_15623,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6344,c_261]) ).
tcf(c_15624,plain,
( l2_conlat_1(k7_conlat_2(iPr_def_12))
| ~ m2_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_6344,c_15507]) ).
tcf(c_15625,plain,
( v4_conlat_1(k7_conlat_2(iPr_def_12))
| ~ m2_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_6344,c_15489]) ).
tcf(c_15633,plain,
~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK25)),sK27(sK25)),
inference(superposition,[status(thm)],[c_15173,c_54]) ).
tcf(c_15634,plain,
~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK25))),
inference(superposition,[status(thm)],[c_15173,c_272]) ).
tcf(c_15636,plain,
l3_lattices(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_14915,c_14915,c_14962,c_15099]) ).
tcf(c_15638,plain,
( sP4(iPr_def_13)
| v3_struct_0(iPr_def_13)
| ~ v10_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_15636,c_196]) ).
tcf(c_15648,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK19(X0)) ),
inference(superposition,[status(thm)],[c_15174,c_54]) ).
tcf(c_15658,plain,
( l2_conlat_1(k7_conlat_2(iPr_def_12))
| ~ l2_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_104,c_15624]) ).
tcf(c_15659,plain,
l2_conlat_1(k7_conlat_2(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_15658,c_14962]) ).
tcf(c_15660,plain,
( sP3(k7_conlat_2(iPr_def_12))
| v3_conlat_1(k7_conlat_2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15659,c_182]) ).
tcf(c_15661,plain,
( sP2(k7_conlat_2(iPr_def_12))
| v3_conlat_1(k7_conlat_2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15659,c_166]) ).
tcf(c_15662,plain,
( sP0(k7_conlat_2(iPr_def_12))
| v3_conlat_1(k7_conlat_2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15659,c_129]) ).
tcf(c_15663,plain,
( v3_conlat_1(k7_conlat_2(iPr_def_12))
| ( g2_conlat_1(u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12)))) = k7_conlat_2(k7_conlat_2(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_15659,c_73]) ).
tcf(c_15688,plain,
( v3_conlat_1(iPr_def_12)
| ( g2_conlat_1(u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12)))) = k7_conlat_2(k7_conlat_2(iPr_def_12)) )
| ~ l2_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_15663,c_86]) ).
tcf(c_15689,plain,
g2_conlat_1(u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12)))) = k7_conlat_2(k7_conlat_2(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_15688,c_15099,c_14962]) ).
tcf(c_15690,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| ~ m2_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_15689,c_6342]) ).
tcf(c_15691,plain,
( v4_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| ~ m2_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_15689,c_6340]) ).
tcf(c_15700,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| ~ m2_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_6344,c_15690]) ).
tcf(c_15707,plain,
( v3_conlat_1(sK7)
| ~ r2_hidden(k1_zfmisc_1(u1_conlat_1(sK7)),sK30(sK7)) ),
inference(superposition,[status(thm)],[c_15177,c_54]) ).
tcf(c_15708,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(k1_zfmisc_1(u1_conlat_1(sK7))) ),
inference(superposition,[status(thm)],[c_15177,c_272]) ).
tcf(c_15720,plain,
! [X0: $i] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_6296,c_261]) ).
tcf(c_15732,plain,
! [X0: $i] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_6302,c_261]) ).
tcf(c_15764,plain,
( v4_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| ~ m2_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_6344,c_15691]) ).
tcf(c_15771,plain,
( v4_conlat_1(k7_conlat_2(iPr_def_12))
| ~ l2_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_104,c_15625]) ).
tcf(c_15772,plain,
v4_conlat_1(k7_conlat_2(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_15771,c_14962]) ).
tcf(c_15773,plain,
( ( g2_conlat_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = k7_conlat_2(iPr_def_12) )
| ~ l2_conlat_1(k7_conlat_2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15772,c_53]) ).
tcf(c_15774,plain,
g2_conlat_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = k7_conlat_2(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_15773,c_15659]) ).
tcf(c_15781,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| ~ l2_conlat_1(k7_conlat_2(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_104,c_15700]) ).
tcf(c_15782,plain,
l2_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))),
inference(forward_subsumption_resolution,[status(thm)],[c_15781,c_15659]) ).
tcf(c_15783,plain,
( sP3(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| v3_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_15782,c_182]) ).
tcf(c_15784,plain,
( sP2(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| v3_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_15782,c_166]) ).
tcf(c_15785,plain,
( sP0(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| v3_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_15782,c_129]) ).
tcf(c_15786,plain,
( v3_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12)))
| ( g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))),u1_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))),u3_conlat_1(k7_conlat_2(k7_conlat_2(iPr_def_12))))) = k7_conlat_2(k7_conlat_2(k7_conlat_2(iPr_def_12))) ) ),
inference(superposition,[status(thm)],[c_15782,c_73]) ).
tcf(c_15807,plain,
( v3_conlat_1(sK7)
| ~ r2_hidden(k1_zfmisc_1(u2_conlat_1(sK7)),sK31(sK7)) ),
inference(superposition,[status(thm)],[c_15180,c_54]) ).
tcf(c_15808,plain,
( v3_conlat_1(sK7)
| ~ v1_xboole_0(k1_zfmisc_1(u2_conlat_1(sK7))) ),
inference(superposition,[status(thm)],[c_15180,c_272]) ).
tcf(c_15816,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6344,c_6348]) ).
tcf(c_15817,plain,
! [X0: $i] :
( ( k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) = k4_relat_1(u1_lattices(X0)) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_6296,c_6348]) ).
tcf(c_15818,plain,
! [X0: $i] :
( ( k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) = k4_relat_1(u2_lattices(X0)) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_6302,c_6348]) ).
tcf(c_15819,plain,
! [X0: $i] :
( ( k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = k4_relat_1(u3_conlat_1(X0)) )
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_104,c_6348]) ).
tcf(c_15820,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,sK16(X0,X1)) = k4_relat_1(sK16(X0,X1)),
inference(superposition,[status(thm)],[c_114,c_6348]) ).
tcf(c_15821,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,sK14(X0,X1)) = k4_relat_1(sK14(X0,X1)),
inference(superposition,[status(thm)],[c_15144,c_6348]) ).
tcf(c_15822,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,sK18(X0,X1)) = k4_relat_1(sK18(X0,X1)),
inference(superposition,[status(thm)],[c_15145,c_6348]) ).
tcf(c_15823,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,sK21(X0,X1)) = k4_relat_1(sK21(X0,X1)),
inference(superposition,[status(thm)],[c_15146,c_6348]) ).
tcf(c_15844,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) = k6_relset_1(X1,X2,X0) )
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6344,c_6346]) ).
tcf(c_15845,plain,
! [X0: $i] :
( ( k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))) = u1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_6296,c_6346]) ).
tcf(c_15846,plain,
! [X0: $i] :
( ( k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))) = u2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_6302,c_6346]) ).
tcf(c_15847,plain,
! [X0: $i] :
( ( k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) = u3_conlat_1(X0) )
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_104,c_6346]) ).
tcf(c_15848,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK16(X0,X1))) = sK16(X0,X1),
inference(superposition,[status(thm)],[c_114,c_6346]) ).
tcf(c_15849,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK14(X0,X1))) = sK14(X0,X1),
inference(superposition,[status(thm)],[c_15144,c_6346]) ).
tcf(c_15850,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK18(X0,X1))) = sK18(X0,X1),
inference(superposition,[status(thm)],[c_15145,c_6346]) ).
tcf(c_15851,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK21(X0,X1))) = sK21(X0,X1),
inference(superposition,[status(thm)],[c_15146,c_6346]) ).
tcf(c_15852,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k4_relat_1(sK21(X0,X1))) = sK21(X0,X1),
inference(light_normalisation,[status(thm)],[c_15851,c_15823]) ).
tcf(c_15853,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k4_relat_1(sK18(X0,X1))) = sK18(X0,X1),
inference(light_normalisation,[status(thm)],[c_15850,c_15822]) ).
tcf(c_15854,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k4_relat_1(sK14(X0,X1))) = sK14(X0,X1),
inference(light_normalisation,[status(thm)],[c_15849,c_15821]) ).
tcf(c_15855,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k4_relat_1(sK16(X0,X1))) = sK16(X0,X1),
inference(light_normalisation,[status(thm)],[c_15848,c_15820]) ).
tcf(c_15878,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| ( g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0))) = k11_conlat_1(X0) )
| ~ l2_conlat_1(X0)
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_80,c_52]) ).
tcf(c_15884,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) )
| ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_82,c_52]) ).
tcf(c_15885,plain,
( ( g3_lattices(u1_struct_0(sK17),u2_lattices(sK17),u1_lattices(sK17)) = sK17 )
| ~ l3_lattices(sK17) ),
inference(superposition,[status(thm)],[c_207,c_52]) ).
tcf(c_15886,plain,
( ( g3_lattices(u1_struct_0(sK24),u2_lattices(sK24),u1_lattices(sK24)) = sK24 )
| ~ l3_lattices(sK24) ),
inference(superposition,[status(thm)],[c_232,c_52]) ).
tcf(c_15887,plain,
( ( g3_lattices(u1_struct_0(sK28),u2_lattices(sK28),u1_lattices(sK28)) = sK28 )
| ~ l3_lattices(sK28) ),
inference(superposition,[status(thm)],[c_241,c_52]) ).
tcf(c_15888,plain,
( ( g3_lattices(u1_struct_0(sK32),u2_lattices(sK32),u1_lattices(sK32)) = sK32 )
| ~ l3_lattices(sK32) ),
inference(superposition,[status(thm)],[c_251,c_52]) ).
tcf(c_15889,plain,
( ( g3_lattices(u1_struct_0(iPr_def_15),u2_lattices(iPr_def_15),u1_lattices(iPr_def_15)) = iPr_def_15 )
| ~ l3_lattices(iPr_def_15) ),
inference(superposition,[status(thm)],[c_14921,c_52]) ).
tcf(c_15894,plain,
g3_lattices(u1_struct_0(iPr_def_15),u2_lattices(iPr_def_15),u1_lattices(iPr_def_15)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_15889,c_14920]) ).
tcf(c_15895,plain,
g3_lattices(u1_struct_0(sK32),u2_lattices(sK32),u1_lattices(sK32)) = sK32,
inference(forward_subsumption_resolution,[status(thm)],[c_15888,c_249]) ).
tcf(c_15896,plain,
g3_lattices(u1_struct_0(sK28),u2_lattices(sK28),u1_lattices(sK28)) = sK28,
inference(forward_subsumption_resolution,[status(thm)],[c_15887,c_239]) ).
tcf(c_15897,plain,
g3_lattices(u1_struct_0(sK24),u2_lattices(sK24),u1_lattices(sK24)) = sK24,
inference(forward_subsumption_resolution,[status(thm)],[c_15886,c_231]) ).
tcf(c_15898,plain,
g3_lattices(u1_struct_0(sK17),u2_lattices(sK17),u1_lattices(sK17)) = sK17,
inference(forward_subsumption_resolution,[status(thm)],[c_15885,c_205]) ).
tcf(c_15927,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(sK26) = X0 )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( g2_conlat_1(X0,X1,X2) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_197]) ).
tcf(c_15928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(sK29) = X0 )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( g2_conlat_1(X0,X1,X2) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_197]) ).
tcf(c_15929,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(sK5) = X0 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14660,c_197]) ).
tcf(c_15930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(sK29) = X0 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_197]) ).
tcf(c_15931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(iPr_def_12) = X0 )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15074,c_197]) ).
tcf(c_15932,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(iPr_def_12) = X0 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_197]) ).
tcf(c_15933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = X0 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_15689,c_197]) ).
tcf(c_15934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = X0 )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_197]) ).
tcf(c_15935,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(sK26) = X0 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_197]) ).
tcf(c_15936,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(sK29) = X0 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_197]) ).
tcf(c_15937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(sK5) = X0 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14660,c_197]) ).
tcf(c_15938,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(sK29) = X0 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_197]) ).
tcf(c_15939,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(iPr_def_12) = X0 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15074,c_197]) ).
tcf(c_15940,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(iPr_def_12) = X0 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_197]) ).
tcf(c_15941,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = X0 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_15689,c_197]) ).
tcf(c_15942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = X0 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_197]) ).
tcf(c_16038,plain,
( ( u1_conlat_1(sK26) = u2_conlat_1(sK5) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_15937]) ).
tcf(c_16039,plain,
( ( u1_conlat_1(sK29) = u2_conlat_1(sK5) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_15937]) ).
tcf(c_16041,plain,
( ( u2_conlat_1(sK5) = u2_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_15937]) ).
tcf(c_16042,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(sK5) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15074,c_15937]) ).
tcf(c_16043,plain,
( ( u2_conlat_1(sK5) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_15937]) ).
tcf(c_16044,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_15937]) ).
tcf(c_16045,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK5) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_15937]) ).
tcf(c_16076,plain,
( ( u1_conlat_1(sK26) = u2_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_15929]) ).
tcf(c_16077,plain,
( ( u1_conlat_1(sK29) = u2_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_15929]) ).
tcf(c_16079,plain,
( ( u2_conlat_1(sK5) = u2_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_15929]) ).
tcf(c_16080,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5)) ),
inference(superposition,[status(thm)],[c_15074,c_15929]) ).
tcf(c_16081,plain,
( ( u2_conlat_1(sK5) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_15929]) ).
tcf(c_16082,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_15929]) ).
tcf(c_16083,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_15929]) ).
tcf(c_16118,plain,
( ( u1_conlat_1(sK26) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_15939]) ).
tcf(c_16119,plain,
( ( u1_conlat_1(sK29) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_15939]) ).
tcf(c_16121,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_15939]) ).
tcf(c_16123,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_15939]) ).
tcf(c_16124,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_15939]) ).
tcf(c_16125,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_15939]) ).
tcf(c_16154,plain,
( ( u1_conlat_1(sK26) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( k7_conlat_2(iPr_def_12) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_15940]) ).
tcf(c_16155,plain,
( ( u1_conlat_1(sK29) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( k7_conlat_2(iPr_def_12) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_15940]) ).
tcf(c_16157,plain,
( ( u2_conlat_1(sK29) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_14654,c_15940]) ).
tcf(c_16158,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15074,c_15940]) ).
tcf(c_16160,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15689,c_15940]) ).
tcf(c_16161,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_15774,c_15940]) ).
tcf(c_16189,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(k4_relat_1(sK16(X0,X1)),X1,X0)
| ~ m2_relset_1(sK16(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_15820,c_6344]) ).
tcf(c_16190,plain,
! [X0: $i,X1: $i] : m2_relset_1(k4_relat_1(sK16(X0,X1)),X1,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_16189,c_114]) ).
tcf(c_16198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(sK26) = X1 )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( g2_conlat_1(X0,X1,X2) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_198]) ).
tcf(c_16199,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(sK29) = X1 )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( g2_conlat_1(X0,X1,X2) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_198]) ).
tcf(c_16200,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(sK5) = X1 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14660,c_198]) ).
tcf(c_16201,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(sK29) = X1 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_198]) ).
tcf(c_16202,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(iPr_def_12) = X1 )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15074,c_198]) ).
tcf(c_16203,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(iPr_def_12) = X1 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_198]) ).
tcf(c_16204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = X1 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_15689,c_198]) ).
tcf(c_16205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = X1 )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_198]) ).
tcf(c_16206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(sK26) = X1 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_198]) ).
tcf(c_16207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(sK29) = X1 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_198]) ).
tcf(c_16208,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(sK5) = X1 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14660,c_198]) ).
tcf(c_16209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(sK29) = X1 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_198]) ).
tcf(c_16210,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(iPr_def_12) = X1 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15074,c_198]) ).
tcf(c_16211,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(iPr_def_12) = X1 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_198]) ).
tcf(c_16212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = X1 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_15689,c_198]) ).
tcf(c_16213,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = X1 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_198]) ).
tcf(c_16297,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u3_conlat_1(sK26) = X2 )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( g2_conlat_1(X0,X1,X2) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_199]) ).
tcf(c_16298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u3_conlat_1(sK29) = X2 )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( g2_conlat_1(X0,X1,X2) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_199]) ).
tcf(c_16299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = X2 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14660,c_199]) ).
tcf(c_16300,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = X2 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_199]) ).
tcf(c_16301,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u3_conlat_1(iPr_def_12) = X2 )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15074,c_199]) ).
tcf(c_16302,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = X2 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_199]) ).
tcf(c_16303,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = X2 )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_15689,c_199]) ).
tcf(c_16304,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u3_conlat_1(k7_conlat_2(iPr_def_12)) = X2 )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_199]) ).
tcf(c_16305,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u3_conlat_1(sK26) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_199]) ).
tcf(c_16306,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u3_conlat_1(sK29) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_199]) ).
tcf(c_16307,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14660,c_199]) ).
tcf(c_16308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_199]) ).
tcf(c_16309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u3_conlat_1(iPr_def_12) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15074,c_199]) ).
tcf(c_16310,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_199]) ).
tcf(c_16311,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(iPr_def_12)) ) ),
inference(superposition,[status(thm)],[c_15689,c_199]) ).
tcf(c_16312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u3_conlat_1(k7_conlat_2(iPr_def_12)) = X2 )
| ~ m1_relset_1(X2,X0,X1)
| ( g2_conlat_1(X0,X1,X2) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_199]) ).
tcf(c_16420,plain,
! [X0: $i] :
( v3_conlat_1(X0)
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0))) ),
inference(superposition,[status(thm)],[c_78,c_94]) ).
tcf(c_16421,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(sK13(X0,X1))
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_111,c_94]) ).
tcf(c_16422,plain,
( v3_struct_0(iPr_def_15)
| v3_struct_0(iPr_def_13)
| v1_funct_1(k10_conlat_2(sK5))
| ~ v10_lattices(iPr_def_15)
| ~ v10_lattices(iPr_def_13)
| ~ l3_lattices(iPr_def_15)
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_14932,c_94]) ).
tcf(c_16462,plain,
( ( u1_conlat_1(sK5) = u2_conlat_1(sK26) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_16208]) ).
tcf(c_16463,plain,
( ( u1_conlat_1(sK5) = u2_conlat_1(sK29) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_16208]) ).
tcf(c_16465,plain,
( ( u1_conlat_1(sK5) = u1_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_16208]) ).
tcf(c_16466,plain,
( ( u1_conlat_1(sK5) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15074,c_16208]) ).
tcf(c_16467,plain,
( ( u1_conlat_1(sK5) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_16208]) ).
tcf(c_16468,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_16208]) ).
tcf(c_16469,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK5) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_16208]) ).
tcf(c_16500,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = u3_conlat_1(sK26) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_16307]) ).
tcf(c_16501,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = u3_conlat_1(sK29) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_16307]) ).
tcf(c_16503,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_16307]) ).
tcf(c_16504,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15074,c_16307]) ).
tcf(c_16505,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_16307]) ).
tcf(c_16506,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_16307]) ).
tcf(c_16507,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = u3_conlat_1(k7_conlat_2(iPr_def_12)) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_16307]) ).
tcf(c_16538,plain,
( ( u1_conlat_1(sK5) = u2_conlat_1(sK26) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_16200]) ).
tcf(c_16539,plain,
( ( u1_conlat_1(sK5) = u2_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_16200]) ).
tcf(c_16541,plain,
( ( u1_conlat_1(sK5) = u1_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_16200]) ).
tcf(c_16542,plain,
( ( u1_conlat_1(sK5) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5)) ),
inference(superposition,[status(thm)],[c_15074,c_16200]) ).
tcf(c_16543,plain,
( ( u1_conlat_1(sK5) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_16200]) ).
tcf(c_16544,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_16200]) ).
tcf(c_16545,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK5) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_16200]) ).
tcf(c_16576,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = u3_conlat_1(sK26) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_16299]) ).
tcf(c_16577,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = u3_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_16299]) ).
tcf(c_16579,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_16299]) ).
tcf(c_16580,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5)) ),
inference(superposition,[status(thm)],[c_15074,c_16299]) ).
tcf(c_16581,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_16299]) ).
tcf(c_16582,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_16299]) ).
tcf(c_16583,plain,
( ( k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)) = u3_conlat_1(k7_conlat_2(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK5),u2_conlat_1(sK5),u3_conlat_1(sK5)),u2_conlat_1(sK5),u1_conlat_1(sK5))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_16299]) ).
tcf(c_16622,plain,
( ( u2_conlat_1(sK26) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_16210]) ).
tcf(c_16623,plain,
( ( u2_conlat_1(sK29) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_16210]) ).
tcf(c_16625,plain,
( ( u1_conlat_1(sK29) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_16210]) ).
tcf(c_16628,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_16210]) ).
tcf(c_16629,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_16210]) ).
tcf(c_16655,plain,
( ( u3_conlat_1(sK26) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_16309]) ).
tcf(c_16656,plain,
( ( u3_conlat_1(sK29) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_16309]) ).
tcf(c_16658,plain,
( ( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_16309]) ).
tcf(c_16660,plain,
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_16309]) ).
tcf(c_16661,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_16309]) ).
tcf(c_16662,plain,
( ( u3_conlat_1(k7_conlat_2(iPr_def_12)) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_16309]) ).
tcf(c_16687,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(k4_relat_1(sK14(X0,X1)),X1,X0)
| ~ m2_relset_1(sK14(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_15821,c_6344]) ).
tcf(c_16688,plain,
! [X0: $i,X1: $i] : m2_relset_1(k4_relat_1(sK14(X0,X1)),X1,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_16687,c_15144]) ).
tcf(c_16732,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v1_funct_1(sK6(X0,X1))
| ~ v10_lattices(X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ~ r1_filter_1(X0,X1) ),
inference(superposition,[status(thm)],[c_71,c_94]) ).
tcf(c_16773,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k6_relset_1(u1_struct_0(X1),u1_struct_0(X2),k6_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0)) = X0 )
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_96,c_6346]) ).
tcf(c_16774,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| ( k6_relset_1(u1_struct_0(X1),u1_struct_0(X2),X0) = k4_relat_1(X0) )
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_96,c_6348]) ).
tcf(c_16775,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X1)
| m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_96,c_261]) ).
tcf(c_16807,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(k6_relset_1(X1,X2,X0))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6344,c_15549]) ).
tcf(c_16808,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_relat_1(X0)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v10_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X1)
| ~ m1_lattice4(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_96,c_15549]) ).
tcf(c_16809,plain,
! [X0: $i] :
( v1_relat_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_6296,c_15549]) ).
tcf(c_16810,plain,
! [X0: $i] :
( v1_relat_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_6302,c_15549]) ).
tcf(c_16811,plain,
! [X0: $i] :
( v1_relat_1(u3_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_104,c_15549]) ).
tcf(c_16812,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK16(X0,X1)),
inference(superposition,[status(thm)],[c_114,c_15549]) ).
tcf(c_16813,plain,
! [X0: $i,X1: $i] : v1_relat_1(sK14(X0,X1)),
inference(superposition,[status(thm)],[c_15144,c_15549]) ).
tcf(c_16841,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK16(X0,X1))) = sK16(X0,X1),
inference(superposition,[status(thm)],[c_16812,c_203]) ).
tcf(c_16843,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(sK14(X0,X1))) = sK14(X0,X1),
inference(superposition,[status(thm)],[c_16813,c_203]) ).
tcf(c_16853,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(u1_lattices(X0))) = u1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_16809,c_203]) ).
tcf(c_16867,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(sK26) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( k7_conlat_2(iPr_def_12) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_16211]) ).
tcf(c_16868,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(sK29) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( k7_conlat_2(iPr_def_12) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_16211]) ).
tcf(c_16870,plain,
( ( u1_conlat_1(sK29) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_14654,c_16211]) ).
tcf(c_16873,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15689,c_16211]) ).
tcf(c_16874,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_15774,c_16211]) ).
tcf(c_16925,plain,
( ( u1_conlat_1(sK26) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_15931]) ).
tcf(c_16926,plain,
( ( u1_conlat_1(sK29) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_15931]) ).
tcf(c_16928,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(sK29) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_15931]) ).
tcf(c_16931,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_15931]) ).
tcf(c_16932,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_15931]) ).
tcf(c_16948,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0)
| ~ m2_relset_1(sK18(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_15822,c_6344]) ).
tcf(c_16949,plain,
! [X0: $i,X1: $i] : m2_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_16948,c_15145]) ).
tcf(c_16967,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),X1))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_6294,c_76]) ).
tcf(c_16968,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),X1))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_6300,c_76]) ).
tcf(c_16969,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(X0,sK18(k2_zfmisc_1(X0,X0),X0),X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(sK18(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_221,c_76]) ).
tcf(c_16970,plain,
! [X0: $i,X1: $i] :
( v3_lattices(g3_lattices(X1,sK18(k2_zfmisc_1(X1,X1),X1),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16969,c_220,c_218]) ).
tcf(c_17011,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),X1))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_6294,c_77]) ).
tcf(c_17012,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),X1))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_6300,c_77]) ).
tcf(c_17013,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(X0,sK18(k2_zfmisc_1(X0,X0),X0),X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(sK18(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_221,c_77]) ).
tcf(c_17014,plain,
! [X0: $i,X1: $i] :
( l3_lattices(g3_lattices(X1,sK18(k2_zfmisc_1(X1,X1),X1),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17013,c_220,c_218]) ).
tcf(c_17052,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u1_lattices(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u1_lattices(X0),X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_6294,c_155]) ).
tcf(c_17053,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l3_lattices(X0)
| ~ v1_funct_1(u2_lattices(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u2_lattices(X0),X1))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(superposition,[status(thm)],[c_6300,c_155]) ).
tcf(c_17054,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(sK18(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,sK18(k2_zfmisc_1(X0,X0),X0),X1))
| ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(superposition,[status(thm)],[c_221,c_155]) ).
tcf(c_17055,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,sK18(k2_zfmisc_1(X0,X0),X0),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17054,c_220,c_218]) ).
tcf(c_17097,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_15) = X0 )
| ~ v1_funct_1(u1_lattices(iPr_def_15))
| ~ v1_funct_1(u2_lattices(iPr_def_15))
| ~ m1_relset_1(u1_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ m1_relset_1(u2_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ v1_funct_2(u1_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ v1_funct_2(u2_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ( g3_lattices(X0,X1,X2) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15894,c_200]) ).
tcf(c_17099,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_15) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15894,c_200]) ).
tcf(c_17150,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(u2_lattices(X0))) = u2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_16810,c_203]) ).
tcf(c_17158,plain,
! [X0: $i] :
( ( k4_relat_1(k4_relat_1(u3_conlat_1(X0))) = u3_conlat_1(X0) )
| ~ l2_conlat_1(X0) ),
inference(superposition,[status(thm)],[c_16811,c_203]) ).
tcf(c_17178,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK26) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_15941]) ).
tcf(c_17179,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK29) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_15941]) ).
tcf(c_17181,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_15941]) ).
tcf(c_17183,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_15941]) ).
tcf(c_17185,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(k7_conlat_2(iPr_def_12)) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_15941]) ).
tcf(c_17209,plain,
( ( u2_conlat_1(sK26) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_16202]) ).
tcf(c_17210,plain,
( ( u2_conlat_1(sK29) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_16202]) ).
tcf(c_17212,plain,
( ( u1_conlat_1(sK29) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_16202]) ).
tcf(c_17215,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_16202]) ).
tcf(c_17216,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_16202]) ).
tcf(c_17245,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK26) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_16212]) ).
tcf(c_17246,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK29) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_16212]) ).
tcf(c_17248,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_16212]) ).
tcf(c_17250,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_16212]) ).
tcf(c_17271,plain,
( ( u3_conlat_1(sK26) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( sK26 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14371,c_16301]) ).
tcf(c_17272,plain,
( ( u3_conlat_1(sK29) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( sK29 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14370,c_16301]) ).
tcf(c_17274,plain,
( ( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(sK29) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_14654,c_16301]) ).
tcf(c_17276,plain,
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15103,c_16301]) ).
tcf(c_17277,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15689,c_16301]) ).
tcf(c_17278,plain,
( ( u3_conlat_1(k7_conlat_2(iPr_def_12)) = u3_conlat_1(iPr_def_12) )
| ~ m1_relset_1(u3_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15774,c_16301]) ).
tcf(c_17331,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(k4_relat_1(sK21(X0,X1)),X1,X0)
| ~ m2_relset_1(sK21(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_15823,c_6344]) ).
tcf(c_17332,plain,
! [X0: $i,X1: $i] : m2_relset_1(k4_relat_1(sK21(X0,X1)),X1,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_17331,c_15146]) ).
tcf(c_17350,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_15) = X1 )
| ~ v1_funct_1(u1_lattices(iPr_def_15))
| ~ v1_funct_1(u2_lattices(iPr_def_15))
| ~ m1_relset_1(u1_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ m1_relset_1(u2_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ v1_funct_2(u1_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ v1_funct_2(u2_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ( g3_lattices(X0,X1,X2) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15894,c_201]) ).
tcf(c_17352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_15) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15894,c_201]) ).
tcf(c_17417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_15) = X2 )
| ~ v1_funct_1(u1_lattices(iPr_def_15))
| ~ v1_funct_1(u2_lattices(iPr_def_15))
| ~ m1_relset_1(u1_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ m1_relset_1(u2_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ v1_funct_2(u1_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ~ v1_funct_2(u2_lattices(iPr_def_15),k2_zfmisc_1(u1_struct_0(iPr_def_15),u1_struct_0(iPr_def_15)),u1_struct_0(iPr_def_15))
| ( g3_lattices(X0,X1,X2) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15894,c_202]) ).
tcf(c_17419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_15) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15894,c_202]) ).
tcf(c_17458,plain,
! [X0: $i,X1: $i] : v1_relat_1(k4_relat_1(sK16(X0,X1))),
inference(superposition,[status(thm)],[c_16190,c_15549]) ).
tcf(c_17459,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k6_relset_1(X0,X1,k4_relat_1(sK16(X1,X0)))) = k4_relat_1(sK16(X1,X0)),
inference(superposition,[status(thm)],[c_16190,c_6346]) ).
tcf(c_17460,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k4_relat_1(sK16(X1,X0))) = k4_relat_1(k4_relat_1(sK16(X1,X0))),
inference(superposition,[status(thm)],[c_16190,c_6348]) ).
tcf(c_17461,plain,
! [X0: $i,X1: $i] : m1_relset_1(k4_relat_1(sK16(X0,X1)),X1,X0),
inference(superposition,[status(thm)],[c_16190,c_261]) ).
tcf(c_17476,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(k4_relat_1(sK16(X0,X1)))) = k4_relat_1(sK16(X0,X1)),
inference(superposition,[status(thm)],[c_17458,c_203]) ).
tcf(c_17478,plain,
! [X0: $i,X1: $i] : v1_relat_1(k4_relat_1(sK14(X0,X1))),
inference(superposition,[status(thm)],[c_16688,c_15549]) ).
tcf(c_17479,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k6_relset_1(X0,X1,k4_relat_1(sK14(X1,X0)))) = k4_relat_1(sK14(X1,X0)),
inference(superposition,[status(thm)],[c_16688,c_6346]) ).
tcf(c_17480,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k4_relat_1(sK14(X1,X0))) = k4_relat_1(k4_relat_1(sK14(X1,X0))),
inference(superposition,[status(thm)],[c_16688,c_6348]) ).
tcf(c_17481,plain,
! [X0: $i,X1: $i] : m1_relset_1(k4_relat_1(sK14(X0,X1)),X1,X0),
inference(superposition,[status(thm)],[c_16688,c_261]) ).
tcf(c_17490,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(k4_relat_1(sK14(X0,X1)))) = k4_relat_1(sK14(X0,X1)),
inference(superposition,[status(thm)],[c_17478,c_203]) ).
tcf(c_17492,plain,
! [X0: $i,X1: $i] : v1_relat_1(k4_relat_1(sK18(X0,X1))),
inference(superposition,[status(thm)],[c_16949,c_15549]) ).
tcf(c_17493,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k6_relset_1(X0,X1,k4_relat_1(sK18(X1,X0)))) = k4_relat_1(sK18(X1,X0)),
inference(superposition,[status(thm)],[c_16949,c_6346]) ).
tcf(c_17494,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k4_relat_1(sK18(X1,X0))) = k4_relat_1(k4_relat_1(sK18(X1,X0))),
inference(superposition,[status(thm)],[c_16949,c_6348]) ).
tcf(c_17495,plain,
! [X0: $i,X1: $i] : m1_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0),
inference(superposition,[status(thm)],[c_16949,c_261]) ).
tcf(c_17518,plain,
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = u3_conlat_1(sK26) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( k7_conlat_2(iPr_def_12) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_16310]) ).
tcf(c_17519,plain,
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = u3_conlat_1(sK29) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( k7_conlat_2(iPr_def_12) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_16310]) ).
tcf(c_17521,plain,
( ( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(sK29) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_14654,c_16310]) ).
tcf(c_17524,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15689,c_16310]) ).
tcf(c_17525,plain,
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = u3_conlat_1(k7_conlat_2(iPr_def_12)) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12))) ),
inference(superposition,[status(thm)],[c_15774,c_16310]) ).
tcf(c_17590,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK21(X0,X1),X1,X0)
| ~ m2_relset_1(k4_relat_1(sK21(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_15852,c_6344]) ).
tcf(c_17593,plain,
! [X0: $i,X1: $i] : v1_relat_1(k4_relat_1(sK21(X0,X1))),
inference(superposition,[status(thm)],[c_17332,c_15549]) ).
tcf(c_17594,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k6_relset_1(X0,X1,k4_relat_1(sK21(X1,X0)))) = k4_relat_1(sK21(X1,X0)),
inference(superposition,[status(thm)],[c_17332,c_6346]) ).
tcf(c_17595,plain,
! [X0: $i,X1: $i] : k6_relset_1(X0,X1,k4_relat_1(sK21(X1,X0))) = k4_relat_1(k4_relat_1(sK21(X1,X0))),
inference(superposition,[status(thm)],[c_17332,c_6348]) ).
tcf(c_17596,plain,
! [X0: $i,X1: $i] : m1_relset_1(k4_relat_1(sK21(X0,X1)),X1,X0),
inference(superposition,[status(thm)],[c_17332,c_261]) ).
tcf(c_17607,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(k4_relat_1(sK18(X0,X1)))) = k4_relat_1(sK18(X0,X1)),
inference(superposition,[status(thm)],[c_17492,c_203]) ).
tcf(c_17609,plain,
! [X0: $i,X1: $i] : k4_relat_1(k4_relat_1(k4_relat_1(sK21(X0,X1)))) = k4_relat_1(sK21(X0,X1)),
inference(superposition,[status(thm)],[c_17593,c_203]) ).
tcf(c_17618,plain,
( v3_struct_0(sK8)
| ( k4_relat_1(k4_relat_1(u1_lattices(sK8))) = u1_lattices(sK8) )
| ~ v7_lattices(sK8) ),
inference(superposition,[status(thm)],[c_3743,c_203]) ).
tcf(c_17670,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK18(X0,X1),X1,X0)
| ~ m2_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_15853,c_6344]) ).
tcf(c_17679,plain,
( v3_struct_0(sK8)
| ( k4_relat_1(k4_relat_1(u1_lattices(sK8))) = u1_lattices(sK8) )
| ~ v6_lattices(sK8) ),
inference(superposition,[status(thm)],[c_3754,c_203]) ).
tcf(c_17689,plain,
( v3_struct_0(sK11)
| ( k4_relat_1(k4_relat_1(u2_lattices(sK11))) = u2_lattices(sK11) )
| ~ v5_lattices(sK11) ),
inference(superposition,[status(thm)],[c_3870,c_203]) ).
tcf(c_17699,plain,
( v3_struct_0(sK11)
| ( k4_relat_1(k4_relat_1(u2_lattices(sK11))) = u2_lattices(sK11) )
| ~ v4_lattices(sK11) ),
inference(superposition,[status(thm)],[c_3881,c_203]) ).
tcf(c_17707,plain,
( v3_struct_0(sK9)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK9)))
| r2_hidden(sK27(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(superposition,[status(thm)],[c_6529,c_267]) ).
tcf(c_17709,plain,
! [X0: $i] :
( v3_struct_0(sK9)
| m1_subset_1(X0,u1_struct_0(sK9))
| ~ r2_hidden(X0,sK27(sK9)) ),
inference(superposition,[status(thm)],[c_6529,c_269]) ).
tcf(c_17713,plain,
( v3_struct_0(sK9)
| r2_hidden(sK27(sK9),k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17707,c_133]) ).
tcf(c_17724,plain,
( v3_struct_0(sK8)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK8)))
| r2_hidden(sK27(sK8),k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(superposition,[status(thm)],[c_6563,c_267]) ).
tcf(c_17726,plain,
! [X0: $i] :
( v3_struct_0(sK8)
| m1_subset_1(X0,u1_struct_0(sK8))
| ~ r2_hidden(X0,sK27(sK8)) ),
inference(superposition,[status(thm)],[c_6563,c_269]) ).
tcf(c_17730,plain,
( v3_struct_0(sK8)
| r2_hidden(sK27(sK8),k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17724,c_133]) ).
tcf(c_17738,plain,
( v3_struct_0(sK11)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK11)))
| r2_hidden(sK27(sK11),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(superposition,[status(thm)],[c_6569,c_267]) ).
tcf(c_17740,plain,
! [X0: $i] :
( v3_struct_0(sK11)
| m1_subset_1(X0,u1_struct_0(sK11))
| ~ r2_hidden(X0,sK27(sK11)) ),
inference(superposition,[status(thm)],[c_6569,c_269]) ).
tcf(c_17744,plain,
( v3_struct_0(sK11)
| r2_hidden(sK27(sK11),k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17738,c_133]) ).
tcf(c_17790,plain,
( ( u1_conlat_1(sK26) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_15932]) ).
tcf(c_17791,plain,
( ( u1_conlat_1(sK29) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_15932]) ).
tcf(c_17793,plain,
( ( u2_conlat_1(sK29) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(sK29) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_14654,c_15932]) ).
tcf(c_17797,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15774,c_15932]) ).
tcf(c_17829,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(sK26) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_16203]) ).
tcf(c_17830,plain,
( ( u1_conlat_1(iPr_def_12) = u2_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_16203]) ).
tcf(c_17832,plain,
( ( u1_conlat_1(sK29) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(sK29) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_14654,c_16203]) ).
tcf(c_17836,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(iPr_def_12) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15774,c_16203]) ).
tcf(c_17854,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK14(X0,X1),X1,X0)
| ~ m2_relset_1(k4_relat_1(sK14(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_15854,c_6344]) ).
tcf(c_17865,plain,
( v3_struct_0(sK9)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK9)),sK27(sK9)) ),
inference(superposition,[status(thm)],[c_17713,c_54]) ).
tcf(c_17866,plain,
( v3_struct_0(sK9)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK9))) ),
inference(superposition,[status(thm)],[c_17713,c_272]) ).
tcf(c_17884,plain,
( v3_struct_0(sK8)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK8)),sK27(sK8)) ),
inference(superposition,[status(thm)],[c_17730,c_54]) ).
tcf(c_17885,plain,
( v3_struct_0(sK8)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK8))) ),
inference(superposition,[status(thm)],[c_17730,c_272]) ).
tcf(c_17893,plain,
( v3_struct_0(sK11)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK11)),sK27(sK11)) ),
inference(superposition,[status(thm)],[c_17744,c_54]) ).
tcf(c_17894,plain,
( v3_struct_0(sK11)
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK11))) ),
inference(superposition,[status(thm)],[c_17744,c_272]) ).
tcf(c_17928,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = u3_conlat_1(sK26) )
| ~ m1_relset_1(u3_conlat_1(sK26),u1_conlat_1(sK26),u2_conlat_1(sK26))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_16311]) ).
tcf(c_17929,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = u3_conlat_1(sK29) )
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_16311]) ).
tcf(c_17931,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_16311]) ).
tcf(c_17933,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15103,c_16311]) ).
tcf(c_17935,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = u3_conlat_1(k7_conlat_2(iPr_def_12)) )
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_16311]) ).
tcf(c_18002,plain,
! [X0: $i,X1: $i] :
( m2_relset_1(sK16(X0,X1),X1,X0)
| ~ m2_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_15855,c_6344]) ).
tcf(c_18021,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ( k4_relat_1(k4_relat_1(sK19(k2_zfmisc_1(X0,X1)))) = sK19(k2_zfmisc_1(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_14991,c_203]) ).
tcf(c_18029,plain,
! [X0: $i] :
( v1_xboole_0(sK15(k1_zfmisc_1(X0)))
| m1_subset_1(sK15(sK15(k1_zfmisc_1(X0))),X0) ),
inference(superposition,[status(thm)],[c_15162,c_15565]) ).
tcf(c_18037,plain,
( v1_xboole_0(sK27(sK25))
| m1_subset_1(sK15(sK27(sK25)),u1_struct_0(sK25)) ),
inference(superposition,[status(thm)],[c_15162,c_15568]) ).
tcf(c_18038,plain,
m1_subset_1(sK15(sK27(sK25)),u1_struct_0(sK25)),
inference(forward_subsumption_resolution,[status(thm)],[c_18037,c_4235]) ).
tcf(c_18039,plain,
( v1_xboole_0(u1_struct_0(sK25))
| r2_hidden(sK15(sK27(sK25)),u1_struct_0(sK25)) ),
inference(superposition,[status(thm)],[c_18038,c_267]) ).
tcf(c_18040,plain,
r2_hidden(sK15(sK27(sK25)),u1_struct_0(sK25)),
inference(forward_subsumption_resolution,[status(thm)],[c_18039,c_4249]) ).
tcf(c_18045,plain,
~ r2_hidden(u1_struct_0(sK25),sK15(sK27(sK25))),
inference(superposition,[status(thm)],[c_18040,c_54]) ).
tcf(c_18076,plain,
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = u3_conlat_1(sK26) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_16302]) ).
tcf(c_18077,plain,
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = u3_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(iPr_def_12) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_16302]) ).
tcf(c_18079,plain,
( ( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12))
| ( k7_conlat_2(sK29) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_14654,c_16302]) ).
tcf(c_18083,plain,
( ( k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)) = u3_conlat_1(k7_conlat_2(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(iPr_def_12),u2_conlat_1(iPr_def_12),u3_conlat_1(iPr_def_12)),u2_conlat_1(iPr_def_12),u1_conlat_1(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_15774,c_16302]) ).
tcf(c_18199,plain,
! [X0: $i] :
( v1_xboole_0(sK15(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_15162,c_15603]) ).
tcf(c_18219,plain,
! [X0: $i,X1: $i] :
( ( sK15(k1_zfmisc_1(X0)) = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_273]) ).
tcf(c_18220,plain,
! [X0: $i] :
( ( sK15(k1_zfmisc_1(X0)) = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_271]) ).
tcf(c_18248,plain,
sK15(k1_zfmisc_1(k1_xboole_0)) = k1_xboole_0,
inference(superposition,[status(thm)],[c_134,c_18220]) ).
tcf(c_18249,plain,
! [X0: $i] :
( ( sK15(k1_zfmisc_1(sK15(k1_zfmisc_1(X0)))) = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_18199,c_18220]) ).
tcf(c_18259,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK26) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_15933]) ).
tcf(c_18260,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_15933]) ).
tcf(c_18262,plain,
( ( u2_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_15933]) ).
tcf(c_18266,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(k7_conlat_2(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_15933]) ).
tcf(c_18292,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK26) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_16204]) ).
tcf(c_18293,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u2_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_16204]) ).
tcf(c_18295,plain,
( ( u1_conlat_1(k7_conlat_2(iPr_def_12)) = u1_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_16204]) ).
tcf(c_18354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK32) = X2 )
| ~ v1_funct_1(u1_lattices(sK32))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15895,c_202]) ).
tcf(c_18355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK32) = X1 )
| ~ v1_funct_1(u1_lattices(sK32))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15895,c_201]) ).
tcf(c_18356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK32) = X0 )
| ~ v1_funct_1(u1_lattices(sK32))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15895,c_200]) ).
tcf(c_18357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK32) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15895,c_202]) ).
tcf(c_18358,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK32) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15895,c_201]) ).
tcf(c_18359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK32) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != sK32 ) ),
inference(superposition,[status(thm)],[c_15895,c_200]) ).
tcf(c_18415,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)) ),
inference(superposition,[status(thm)],[c_18248,c_15162]) ).
tcf(c_18416,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(k1_xboole_0)),
inference(superposition,[status(thm)],[c_18248,c_113]) ).
tcf(c_18417,plain,
! [X0: $i] :
( ~ v1_xboole_0(k1_xboole_0)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_18248,c_15603]) ).
tcf(c_18422,plain,
! [X0: $i] : ~ r2_hidden(X0,k1_xboole_0),
inference(forward_subsumption_resolution,[status(thm)],[c_18417,c_134]) ).
tcf(c_18432,plain,
v1_relat_1(u1_lattices(sK8)),
inference(superposition,[status(thm)],[c_3765,c_15549]) ).
tcf(c_18433,plain,
k6_relset_1(k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8),u1_lattices(sK8))) = u1_lattices(sK8),
inference(superposition,[status(thm)],[c_3765,c_6346]) ).
tcf(c_18434,plain,
k6_relset_1(k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8),u1_lattices(sK8)) = k4_relat_1(u1_lattices(sK8)),
inference(superposition,[status(thm)],[c_3765,c_6348]) ).
tcf(c_18435,plain,
m1_relset_1(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)),
inference(superposition,[status(thm)],[c_3765,c_261]) ).
tcf(c_18436,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK8))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK8))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK8),u1_lattices(sK8),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ m1_relset_1(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)) ),
inference(superposition,[status(thm)],[c_3770,c_155]) ).
tcf(c_18437,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK8),u1_lattices(sK8),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK8))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ m1_relset_1(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)) ),
inference(superposition,[status(thm)],[c_3770,c_77]) ).
tcf(c_18438,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK8),u1_lattices(sK8),X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(u1_lattices(sK8))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ m1_relset_1(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)) ),
inference(superposition,[status(thm)],[c_3770,c_76]) ).
tcf(c_18439,plain,
! [X0: $i] :
( v3_lattices(g3_lattices(u1_struct_0(sK8),u1_lattices(sK8),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ m1_relset_1(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18438,c_3775]) ).
tcf(c_18445,plain,
! [X0: $i] :
( l3_lattices(g3_lattices(u1_struct_0(sK8),u1_lattices(sK8),X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ m1_relset_1(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18437,c_3775]) ).
tcf(c_18451,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(sK8))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK8),u1_lattices(sK8),X0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8))
| ~ m1_relset_1(u1_lattices(sK8),k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)),u1_struct_0(sK8)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18436,c_3775]) ).
tcf(c_18461,plain,
v1_relat_1(u2_lattices(sK11)),
inference(superposition,[status(thm)],[c_3892,c_15549]) ).
tcf(c_18462,plain,
k6_relset_1(k2_zfmisc_1(u1_struct_0(sK11),u1_struct_0(sK11)),u1_struct_0(sK11),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK11),u1_struct_0(sK11)),u1_struct_0(sK11),u2_lattices(sK11))) = u2_lattices(sK11),
inference(superposition,[status(thm)],[c_3892,c_6346]) ).
tcf(c_18463,plain,
k6_relset_1(k2_zfmisc_1(u1_struct_0(sK11),u1_struct_0(sK11)),u1_struct_0(sK11),u2_lattices(sK11)) = k4_relat_1(u2_lattices(sK11)),
inference(superposition,[status(thm)],[c_3892,c_6348]) ).
tcf(c_18464,plain,
m1_relset_1(u2_lattices(sK11),k2_zfmisc_1(u1_struct_0(sK11),u1_struct_0(sK11)),u1_struct_0(sK11)),
inference(superposition,[status(thm)],[c_3892,c_261]) ).
tcf(c_18467,plain,
k4_relat_1(k4_relat_1(u1_lattices(sK8))) = u1_lattices(sK8),
inference(superposition,[status(thm)],[c_18432,c_203]) ).
tcf(c_18468,plain,
k4_relat_1(k4_relat_1(u2_lattices(sK11))) = u2_lattices(sK11),
inference(superposition,[status(thm)],[c_18461,c_203]) ).
tcf(c_18491,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = u3_conlat_1(sK26) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK26 ) ),
inference(superposition,[status(thm)],[c_14371,c_16303]) ).
tcf(c_18492,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = u3_conlat_1(sK29) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != sK29 ) ),
inference(superposition,[status(thm)],[c_14370,c_16303]) ).
tcf(c_18494,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(sK29) ) ),
inference(superposition,[status(thm)],[c_14654,c_16303]) ).
tcf(c_18498,plain,
( ( k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))) = u3_conlat_1(k7_conlat_2(iPr_def_12)) )
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(iPr_def_12)),u2_conlat_1(k7_conlat_2(iPr_def_12)),u3_conlat_1(k7_conlat_2(iPr_def_12))),u2_conlat_1(k7_conlat_2(iPr_def_12)),u1_conlat_1(k7_conlat_2(iPr_def_12)))
| ( k7_conlat_2(k7_conlat_2(iPr_def_12)) != k7_conlat_2(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_15774,c_16303]) ).
fof(f219,definition,
! [X0] :
( ~ sP0(X0)
| ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f220,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP0(X0) ),
inference(definition_folding,[],[f163,f219]) ).
fof(f221,definition,
! [X0] :
( ~ sP1(X0)
| ( v4_lattice3(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f222,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(definition_folding,[],[f171,f221]) ).
fof(f223,definition,
! [X0] :
( ~ sP2(X0)
| ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f224,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(X0) ),
inference(definition_folding,[],[f179,f223]) ).
fof(f225,definition,
! [X0] :
( ~ sP3(X0)
| ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f226,plain,
! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP3(X0) ),
inference(definition_folding,[],[f185,f225]) ).
fof(f227,definition,
! [X0] :
( ~ sP4(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f228,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP4(X0) ),
inference(definition_folding,[],[f189,f227]) ).
fof(f243,plain,
! [X0] :
( ~ sP0(X0)
| ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(nnf_transformation,[],[f219]) ).
fof(f244,plain,
! [X0] :
( ~ sP1(X0)
| ( v4_lattice3(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(nnf_transformation,[],[f221]) ).
fof(f245,plain,
! [X0] :
( ~ sP2(X0)
| ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f246,plain,
! [X0] :
( ~ sP3(X0)
| ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
inference(nnf_transformation,[],[f225]) ).
fof(f247,plain,
! [X0] :
( ~ sP4(X0)
| ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f341,plain,
! [X0] :
( ~ sP0(X0)
| v4_lattice3(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f345,plain,
! [X0] :
( ~ sP0(X0)
| v10_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f348,plain,
! [X0] :
( ~ sP0(X0)
| v7_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f349,plain,
! [X0] :
( ~ sP0(X0)
| v6_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f350,plain,
! [X0] :
( ~ sP0(X0)
| v5_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f351,plain,
! [X0] :
( ~ sP0(X0)
| v4_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f352,plain,
! [X0] :
( ~ sP0(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f353,plain,
! [X0] :
( ~ sP0(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f361,plain,
! [X0] :
( ~ sP1(X0)
| v4_lattice3(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f362,plain,
! [X0] :
( ~ sP1(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f365,plain,
! [X0] :
( ~ sP1(X0)
| v7_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f366,plain,
! [X0] :
( ~ sP1(X0)
| v6_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f367,plain,
! [X0] :
( ~ sP1(X0)
| v5_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f368,plain,
! [X0] :
( ~ sP1(X0)
| v4_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f369,plain,
! [X0] :
( ~ sP1(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f370,plain,
! [X0] :
( ~ sP1(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f382,plain,
! [X0] :
( ~ sP2(X0)
| v10_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f385,plain,
! [X0] :
( ~ sP2(X0)
| v7_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f386,plain,
! [X0] :
( ~ sP2(X0)
| v6_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f387,plain,
! [X0] :
( ~ sP2(X0)
| v5_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f388,plain,
! [X0] :
( ~ sP2(X0)
| v4_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f389,plain,
! [X0] :
( ~ sP2(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f390,plain,
! [X0] :
( ~ sP2(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f245]) ).
fof(f397,plain,
! [X0] :
( ~ sP3(X0)
| v4_lattice3(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f398,plain,
! [X0] :
( ~ sP3(X0)
| v10_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f401,plain,
! [X0] :
( ~ sP3(X0)
| v7_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f402,plain,
! [X0] :
( ~ sP3(X0)
| v6_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f403,plain,
! [X0] :
( ~ sP3(X0)
| v5_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f404,plain,
! [X0] :
( ~ sP3(X0)
| v4_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f405,plain,
! [X0] :
( ~ sP3(X0)
| v3_lattices(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f406,plain,
! [X0] :
( ~ sP3(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f412,plain,
! [X0] :
( ~ sP4(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f415,plain,
! [X0] :
( ~ sP4(X0)
| v7_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f416,plain,
! [X0] :
( ~ sP4(X0)
| v6_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f417,plain,
! [X0] :
( ~ sP4(X0)
| v5_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f418,plain,
! [X0] :
( ~ sP4(X0)
| v4_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f419,plain,
! [X0] :
( ~ sP4(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f247]) ).
fof(f420,plain,
! [X0] :
( ~ sP4(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_116,plain,
! [X0: $i] :
( ~ sP0(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_117,plain,
! [X0: $i] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_118,plain,
! [X0: $i] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_119,plain,
! [X0: $i] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_120,plain,
! [X0: $i] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_121,plain,
! [X0: $i] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_124,plain,
! [X0: $i] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_128,plain,
! [X0: $i] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_136,plain,
! [X0: $i] :
( ~ sP1(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_137,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_138,plain,
! [X0: $i] :
( v4_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_139,plain,
! [X0: $i] :
( v5_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_140,plain,
! [X0: $i] :
( v6_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_141,plain,
! [X0: $i] :
( v7_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_144,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_145,plain,
! [X0: $i] :
( v4_lattice3(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_157,plain,
! [X0: $i] :
( ~ sP2(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_158,plain,
! [X0: $i] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_159,plain,
! [X0: $i] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f388]) ).
tcf(c_160,plain,
! [X0: $i] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_161,plain,
! [X0: $i] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f386]) ).
tcf(c_162,plain,
! [X0: $i] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f385]) ).
tcf(c_165,plain,
! [X0: $i] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_172,plain,
! [X0: $i] :
( ~ sP3(X0)
| ~ v3_struct_0(k11_conlat_1(X0)) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_173,plain,
! [X0: $i] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f405]) ).
tcf(c_174,plain,
! [X0: $i] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f404]) ).
tcf(c_175,plain,
! [X0: $i] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_176,plain,
! [X0: $i] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f402]) ).
tcf(c_177,plain,
! [X0: $i] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_180,plain,
! [X0: $i] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_181,plain,
! [X0: $i] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_187,plain,
! [X0: $i] :
( ~ sP4(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f420]) ).
tcf(c_188,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f419]) ).
tcf(c_189,plain,
! [X0: $i] :
( v4_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_190,plain,
! [X0: $i] :
( v5_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f417]) ).
tcf(c_191,plain,
! [X0: $i] :
( v6_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f416]) ).
tcf(c_192,plain,
! [X0: $i] :
( v7_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f415]) ).
tcf(c_195,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f412]) ).
tcf(c_551,plain,
! [X0: $i] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
tcf(c_579,plain,
! [X0: $i] :
( v4_lattice3(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(prop_impl_just,[status(thm)],[c_145]) ).
tcf(c_617,plain,
! [X0: $i] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(prop_impl_just,[status(thm)],[c_181]) ).
tcf(c_3165,plain,
! [X0: $i,X1: $i] :
( sP1(X1)
| v3_struct_0(X1)
| ~ sP3(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( k11_conlat_1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_617,c_146]) ).
tcf(c_3166,plain,
! [X0: $i] :
( sP1(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ v10_lattices(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(unflattening,[status(thm)],[c_3165]) ).
tcf(c_3168,plain,
! [X0: $i] :
( sP1(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3166,c_180,c_172,c_3166]) ).
tcf(c_3169,plain,
! [X0: $i] :
( sP1(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(renaming,[status(thm)],[c_3168]) ).
tcf(c_3180,plain,
! [X0: $i,X1: $i] :
( sP1(X1)
| v3_struct_0(X1)
| ~ sP0(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( k11_conlat_1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_551,c_146]) ).
tcf(c_3181,plain,
! [X0: $i] :
( sP1(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP0(X0)
| ~ v10_lattices(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(unflattening,[status(thm)],[c_3180]) ).
tcf(c_3183,plain,
! [X0: $i] :
( sP1(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3181,c_124,c_116,c_3181]) ).
tcf(c_3184,plain,
! [X0: $i] :
( sP1(k11_conlat_1(X0))
| ~ sP0(X0)
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(renaming,[status(thm)],[c_3183]) ).
tcf(c_3195,plain,
! [X0: $i,X1: $i] :
( sP1(X1)
| v3_struct_0(X1)
| ~ sP1(X0)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( k1_lattice2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_579,c_146]) ).
tcf(c_3196,plain,
! [X0: $i] :
( sP1(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0)
| ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_3195]) ).
tcf(c_3198,plain,
! [X0: $i] :
( sP1(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3196,c_144,c_136,c_3196]) ).
tcf(c_3199,plain,
! [X0: $i] :
( sP1(k1_lattice2(X0))
| ~ sP1(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(renaming,[status(thm)],[c_3198]) ).
tcf(c_14178,plain,
( v3_lattices(iPr_def_14)
| ~ sP0(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_117]) ).
tcf(c_14179,plain,
( v3_lattices(iPr_def_13)
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_117]) ).
tcf(c_14188,plain,
( v4_lattices(iPr_def_14)
| ~ sP0(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_118]) ).
tcf(c_14189,plain,
( v4_lattices(iPr_def_13)
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_118]) ).
tcf(c_14198,plain,
( v5_lattices(iPr_def_14)
| ~ sP0(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_119]) ).
tcf(c_14199,plain,
( v5_lattices(iPr_def_13)
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_119]) ).
tcf(c_14232,plain,
( v6_lattices(iPr_def_14)
| ~ sP0(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_120]) ).
tcf(c_14233,plain,
( v6_lattices(iPr_def_13)
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_120]) ).
tcf(c_14250,plain,
( v7_lattices(iPr_def_14)
| ~ sP0(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_121]) ).
tcf(c_14251,plain,
( v7_lattices(iPr_def_13)
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_121]) ).
tcf(c_14272,plain,
( v10_lattices(iPr_def_14)
| ~ sP0(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_124]) ).
tcf(c_14273,plain,
( v10_lattices(iPr_def_13)
| ~ sP0(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_124]) ).
tcf(c_14282,plain,
( v3_lattices(iPr_def_15)
| ~ sP1(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_137]) ).
tcf(c_14289,plain,
( v4_lattices(iPr_def_15)
| ~ sP1(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_138]) ).
tcf(c_14296,plain,
( v5_lattices(iPr_def_15)
| ~ sP1(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_139]) ).
tcf(c_14323,plain,
( v6_lattices(iPr_def_15)
| ~ sP1(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_140]) ).
tcf(c_14334,plain,
( v7_lattices(iPr_def_15)
| ~ sP1(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_141]) ).
tcf(c_14345,plain,
( v10_lattices(iPr_def_15)
| ~ sP1(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_144]) ).
tcf(c_14356,plain,
( v3_lattices(iPr_def_14)
| ~ sP2(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_158]) ).
tcf(c_14357,plain,
( v3_lattices(iPr_def_13)
| ~ sP2(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_158]) ).
tcf(c_14376,plain,
( v4_lattices(iPr_def_14)
| ~ sP2(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_159]) ).
tcf(c_14377,plain,
( v4_lattices(iPr_def_13)
| ~ sP2(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_159]) ).
tcf(c_14386,plain,
( v5_lattices(iPr_def_14)
| ~ sP2(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_160]) ).
tcf(c_14387,plain,
( v5_lattices(iPr_def_13)
| ~ sP2(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_160]) ).
tcf(c_14396,plain,
( v6_lattices(iPr_def_14)
| ~ sP2(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_161]) ).
tcf(c_14397,plain,
( v6_lattices(iPr_def_13)
| ~ sP2(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_161]) ).
tcf(c_14406,plain,
( v7_lattices(iPr_def_14)
| ~ sP2(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_162]) ).
tcf(c_14407,plain,
( v7_lattices(iPr_def_13)
| ~ sP2(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_162]) ).
tcf(c_14456,plain,
( v10_lattices(iPr_def_14)
| ~ sP2(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_165]) ).
tcf(c_14457,plain,
( v10_lattices(iPr_def_13)
| ~ sP2(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_165]) ).
tcf(c_14470,plain,
( v3_lattices(iPr_def_14)
| ~ sP3(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_173]) ).
tcf(c_14471,plain,
( v3_lattices(iPr_def_13)
| ~ sP3(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_173]) ).
tcf(c_14480,plain,
( v4_lattices(iPr_def_14)
| ~ sP3(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_174]) ).
tcf(c_14481,plain,
( v4_lattices(iPr_def_13)
| ~ sP3(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_174]) ).
tcf(c_14490,plain,
( v5_lattices(iPr_def_14)
| ~ sP3(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_175]) ).
tcf(c_14491,plain,
( v5_lattices(iPr_def_13)
| ~ sP3(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_175]) ).
tcf(c_14500,plain,
( v6_lattices(iPr_def_14)
| ~ sP3(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_176]) ).
tcf(c_14501,plain,
( v6_lattices(iPr_def_13)
| ~ sP3(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_176]) ).
tcf(c_14546,plain,
( v7_lattices(iPr_def_14)
| ~ sP3(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_177]) ).
tcf(c_14547,plain,
( v7_lattices(iPr_def_13)
| ~ sP3(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_177]) ).
tcf(c_14564,plain,
( v10_lattices(iPr_def_14)
| ~ sP3(sK5) ),
inference(superposition,[status(thm)],[c_10415,c_180]) ).
tcf(c_14565,plain,
( v10_lattices(iPr_def_13)
| ~ sP3(iPr_def_12) ),
inference(superposition,[status(thm)],[c_10414,c_180]) ).
tcf(c_14574,plain,
( v3_lattices(iPr_def_15)
| ~ sP4(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_188]) ).
tcf(c_14581,plain,
( v4_lattices(iPr_def_15)
| ~ sP4(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_189]) ).
tcf(c_14588,plain,
( v5_lattices(iPr_def_15)
| ~ sP4(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_190]) ).
tcf(c_14615,plain,
( v6_lattices(iPr_def_15)
| ~ sP4(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_191]) ).
tcf(c_14626,plain,
( v7_lattices(iPr_def_15)
| ~ sP4(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_192]) ).
tcf(c_14637,plain,
( v10_lattices(iPr_def_15)
| ~ sP4(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10416,c_195]) ).
tcf(c_14713,plain,
( ~ sP0(sK5)
| ~ v3_struct_0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10415,c_116]) ).
tcf(c_14714,plain,
( ~ sP0(iPr_def_12)
| ~ v3_struct_0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_10414,c_116]) ).
tcf(c_14735,plain,
v10_lattices(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_14272,c_14734]) ).
tcf(c_14736,plain,
v7_lattices(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_14250,c_14734]) ).
tcf(c_14737,plain,
v6_lattices(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_14232,c_14734]) ).
tcf(c_14738,plain,
v5_lattices(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_14198,c_14734]) ).
tcf(c_14739,plain,
v4_lattices(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_14188,c_14734]) ).
tcf(c_14740,plain,
v3_lattices(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_14178,c_14734]) ).
tcf(c_14745,plain,
( ~ sP1(iPr_def_14)
| ~ v3_struct_0(iPr_def_15) ),
inference(superposition,[status(thm)],[c_10416,c_136]) ).
tcf(c_14752,plain,
( ~ sP2(sK5)
| ~ v3_struct_0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_10415,c_157]) ).
tcf(c_14753,plain,
( ~ sP2(iPr_def_12)
| ~ v3_struct_0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_10414,c_157]) ).
tcf(c_14770,plain,
~ v3_struct_0(iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_14713,c_14713,c_14734]) ).
tcf(c_14797,plain,
( ~ sP3(iPr_def_12)
| ~ v3_struct_0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_10414,c_172]) ).
tcf(c_14820,plain,
( ~ sP4(iPr_def_14)
| ~ v3_struct_0(iPr_def_15) ),
inference(superposition,[status(thm)],[c_10416,c_187]) ).
tcf(c_15033,plain,
( v3_conlat_1(iPr_def_12)
| ~ v3_struct_0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_15013,c_14797]) ).
tcf(c_15034,plain,
( v10_lattices(iPr_def_13)
| v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_15013,c_14565]) ).
tcf(c_15035,plain,
( v7_lattices(iPr_def_13)
| v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_15013,c_14547]) ).
tcf(c_15036,plain,
( v6_lattices(iPr_def_13)
| v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_15013,c_14501]) ).
tcf(c_15037,plain,
( v5_lattices(iPr_def_13)
| v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_15013,c_14491]) ).
tcf(c_15038,plain,
( v4_lattices(iPr_def_13)
| v3_conlat_1(iPr_def_12) ),
inference(superposition,[status(thm)],[c_15013,c_14481]) ).
tcf(c_15100,plain,
v6_lattices(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_15036,c_15099]) ).
tcf(c_15101,plain,
v7_lattices(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_15035,c_15099]) ).
tcf(c_15102,plain,
v10_lattices(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_15034,c_15099]) ).
tcf(c_15108,plain,
~ v3_struct_0(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_14714,c_15104]) ).
tcf(c_15109,plain,
v5_lattices(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_14199,c_15104]) ).
tcf(c_15110,plain,
v4_lattices(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_14189,c_15104]) ).
tcf(c_15111,plain,
v3_lattices(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_14179,c_15104]) ).
tcf(c_15119,plain,
~ v3_struct_0(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_15118,c_14770,c_14919]) ).
tcf(c_15204,plain,
( v4_lattices(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15203,c_15119]) ).
tcf(c_15269,plain,
( v5_lattices(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15268,c_15119]) ).
tcf(c_15309,plain,
( v6_lattices(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15308,c_15119]) ).
tcf(c_15349,plain,
( v7_lattices(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15348,c_15119]) ).
tcf(c_15437,plain,
( sP4(iPr_def_15)
| ~ v10_lattices(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15436,c_15119]) ).
tcf(c_15440,plain,
sP4(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_15435,c_14770,c_14735]) ).
tcf(c_15461,plain,
v10_lattices(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_14637,c_15440]) ).
tcf(c_15466,plain,
sP4(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_15437,c_15461]) ).
tcf(c_15467,plain,
v7_lattices(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_15349,c_15461]) ).
tcf(c_15468,plain,
v6_lattices(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_15309,c_15461]) ).
tcf(c_15469,plain,
v5_lattices(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_15269,c_15461]) ).
tcf(c_15470,plain,
v4_lattices(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_15204,c_15461]) ).
tcf(c_15643,plain,
sP4(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_15638,c_15108,c_15102]) ).
tcf(c_15879,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0))) = k11_conlat_1(X0) )
| ~ sP3(X0)
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_173,c_52]) ).
tcf(c_15880,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0))) = k11_conlat_1(X0) )
| ~ sP2(X0)
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_158,c_52]) ).
tcf(c_15881,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0))) = k11_conlat_1(X0) )
| ~ sP0(X0)
| ~ l3_lattices(k11_conlat_1(X0)) ),
inference(superposition,[status(thm)],[c_117,c_52]) ).
tcf(c_15882,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) )
| ~ sP4(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_188,c_52]) ).
tcf(c_15883,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) )
| ~ sP1(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_137,c_52]) ).
tcf(c_15890,plain,
( ( g3_lattices(u1_struct_0(iPr_def_14),u2_lattices(iPr_def_14),u1_lattices(iPr_def_14)) = iPr_def_14 )
| ~ l3_lattices(iPr_def_14) ),
inference(superposition,[status(thm)],[c_14740,c_52]) ).
tcf(c_15891,plain,
( ( g3_lattices(u1_struct_0(iPr_def_13),u2_lattices(iPr_def_13),u1_lattices(iPr_def_13)) = iPr_def_13 )
| ~ l3_lattices(iPr_def_13) ),
inference(superposition,[status(thm)],[c_15111,c_52]) ).
tcf(c_15892,plain,
g3_lattices(u1_struct_0(iPr_def_13),u2_lattices(iPr_def_13),u1_lattices(iPr_def_13)) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_15891,c_15636]) ).
tcf(c_15893,plain,
g3_lattices(u1_struct_0(iPr_def_14),u2_lattices(iPr_def_14),u1_lattices(iPr_def_14)) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_15890,c_14919]) ).
tcf(c_16423,plain,
v1_funct_1(k10_conlat_2(sK5)),
inference(forward_subsumption_resolution,[status(thm)],[c_16422,c_15119,c_15108,c_15461,c_15102,c_14920,c_15636]) ).
tcf(c_17098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_14) = X0 )
| ~ v1_funct_1(u1_lattices(iPr_def_14))
| ~ v1_funct_1(u2_lattices(iPr_def_14))
| ~ m1_relset_1(u1_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ m1_relset_1(u2_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ v1_funct_2(u1_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ v1_funct_2(u2_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ( g3_lattices(X0,X1,X2) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15893,c_200]) ).
tcf(c_17100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_14) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15893,c_200]) ).
tcf(c_17351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_14) = X1 )
| ~ v1_funct_1(u1_lattices(iPr_def_14))
| ~ v1_funct_1(u2_lattices(iPr_def_14))
| ~ m1_relset_1(u1_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ m1_relset_1(u2_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ v1_funct_2(u1_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ v1_funct_2(u2_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ( g3_lattices(X0,X1,X2) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15893,c_201]) ).
tcf(c_17353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_14) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15893,c_201]) ).
tcf(c_17418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_14) = X2 )
| ~ v1_funct_1(u1_lattices(iPr_def_14))
| ~ v1_funct_1(u2_lattices(iPr_def_14))
| ~ m1_relset_1(u1_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ m1_relset_1(u2_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ v1_funct_2(u1_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ~ v1_funct_2(u2_lattices(iPr_def_14),k2_zfmisc_1(u1_struct_0(iPr_def_14),u1_struct_0(iPr_def_14)),u1_struct_0(iPr_def_14))
| ( g3_lattices(X0,X1,X2) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15893,c_202]) ).
tcf(c_17420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_14) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15893,c_202]) ).
tcf(c_18127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_13) = X2 )
| ~ v1_funct_1(u1_lattices(iPr_def_13))
| ~ v1_funct_1(u2_lattices(iPr_def_13))
| ~ m1_relset_1(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ m1_relset_1(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15892,c_202]) ).
tcf(c_18128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_13) = X1 )
| ~ v1_funct_1(u1_lattices(iPr_def_13))
| ~ v1_funct_1(u2_lattices(iPr_def_13))
| ~ m1_relset_1(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ m1_relset_1(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15892,c_201]) ).
tcf(c_18129,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_13) = X0 )
| ~ v1_funct_1(u1_lattices(iPr_def_13))
| ~ v1_funct_1(u2_lattices(iPr_def_13))
| ~ m1_relset_1(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ m1_relset_1(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u1_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ~ v1_funct_2(u2_lattices(iPr_def_13),k2_zfmisc_1(u1_struct_0(iPr_def_13),u1_struct_0(iPr_def_13)),u1_struct_0(iPr_def_13))
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15892,c_200]) ).
tcf(c_18130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(iPr_def_13) = X2 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15892,c_202]) ).
tcf(c_18131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(iPr_def_13) = X1 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15892,c_201]) ).
tcf(c_18132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(iPr_def_13) = X0 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_15892,c_200]) ).
tcf(c_18531,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_18498,c_18494,c_18492,c_18491,c_18468,c_18467,c_18464,c_18463,c_18462,c_18461,c_18451,c_18445,c_18439,c_18438,c_18437,c_18436,c_18435,c_18434,c_18433,c_18432,c_18422,c_18417,c_18416,c_18415,c_18359,c_18358,c_18357,c_18356,c_18355,c_18354,c_18295,c_18293,c_18292,c_18266,c_18262,c_18260,c_18259,c_18249,c_18248,c_18220,c_18219,c_18199,c_18132,c_18131,c_18130,c_18129,c_18128,c_18127,c_18083,c_18079,c_18077,c_18076,c_18045,c_18040,c_18039,c_18038,c_18037,c_18029,c_18021,c_18002,c_17935,c_17933,c_17931,c_17929,c_17928,c_17894,c_17893,c_17885,c_17884,c_17866,c_17865,c_17854,c_17836,c_17832,c_17830,c_17829,c_17797,c_17793,c_17791,c_17790,c_17744,c_17740,c_17738,c_17730,c_17726,c_17724,c_17713,c_17709,c_17707,c_17699,c_17689,c_17679,c_17670,c_17618,c_17609,c_17607,c_17596,c_17595,c_17594,c_17593,c_17590,c_17525,c_17524,c_17521,c_17519,c_17518,c_17495,c_17494,c_17493,c_17492,c_17490,c_17481,c_17480,c_17479,c_17478,c_17476,c_17461,c_17460,c_17459,c_17458,c_17420,c_17419,c_17418,c_17417,c_17353,c_17352,c_17351,c_17350,c_17332,c_17331,c_17278,c_17277,c_17276,c_17274,c_17272,c_17271,c_17250,c_17248,c_17246,c_17245,c_17216,c_17215,c_17212,c_17210,c_17209,c_17185,c_17183,c_17181,c_17179,c_17178,c_17158,c_17150,c_17100,c_17099,c_17098,c_17097,c_17055,c_17054,c_17053,c_17052,c_17014,c_17013,c_17012,c_17011,c_16970,c_16969,c_16968,c_16967,c_16949,c_16948,c_16932,c_16931,c_16928,c_16926,c_16925,c_16874,c_16873,c_16870,c_16868,c_16867,c_16853,c_16843,c_16841,c_16813,c_16812,c_16811,c_16810,c_16809,c_16808,c_16807,c_16775,c_16774,c_16773,c_16688,c_16687,c_16662,c_16661,c_16660,c_16658,c_16656,c_16655,c_16629,c_16628,c_16625,c_16623,c_16622,c_16583,c_16582,c_16581,c_16580,c_16579,c_16577,c_16576,c_16545,c_16544,c_16543,c_16542,c_16541,c_16539,c_16538,c_16507,c_16506,c_16505,c_16504,c_16503,c_16501,c_16500,c_16469,c_16468,c_16467,c_16466,c_16465,c_16463,c_16462,c_16423,c_16422,c_16312,c_16311,c_16310,c_16309,c_16308,c_16307,c_16306,c_16305,c_16304,c_16303,c_16302,c_16301,c_16300,c_16299,c_16298,c_16297,c_16213,c_16212,c_16211,c_16210,c_16209,c_16208,c_16207,c_16206,c_16205,c_16204,c_16203,c_16202,c_16201,c_16200,c_16199,c_16198,c_16190,c_16189,c_16161,c_16160,c_16158,c_16157,c_16155,c_16154,c_16125,c_16124,c_16123,c_16121,c_16119,c_16118,c_16083,c_16082,c_16081,c_16080,c_16079,c_16077,c_16076,c_16045,c_16044,c_16043,c_16042,c_16041,c_16039,c_16038,c_15942,c_15941,c_15940,c_15939,c_15938,c_15937,c_15936,c_15935,c_15934,c_15933,c_15932,c_15931,c_15930,c_15929,c_15928,c_15927,c_15894,c_15893,c_15892,c_15891,c_15890,c_15889,c_15855,c_15854,c_15853,c_15852,c_15851,c_15850,c_15849,c_15848,c_15847,c_15846,c_15845,c_15844,c_15823,c_15822,c_15821,c_15820,c_15819,c_15818,c_15817,c_15816,c_15808,c_15807,c_15786,c_15785,c_15784,c_15783,c_15782,c_15781,c_15774,c_15773,c_15772,c_15771,c_15764,c_15732,c_15720,c_15708,c_15707,c_15700,c_15691,c_15690,c_15689,c_15688,c_15663,c_15662,c_15661,c_15660,c_15659,c_15658,c_15648,c_15643,c_15638,c_15636,c_15634,c_15633,c_15625,c_15624,c_15623,c_15609,c_15603,c_15602,c_15571,c_15570,c_15569,c_15568,c_15566,c_15565,c_15564,c_15553,c_15550,c_15549,c_15511,c_15510,c_15509,c_15508,c_15507,c_15505,c_15489,c_15487,c_15466,c_15470,c_15469,c_15468,c_15467,c_15461,c_15448,c_15442,c_15441,c_15440,c_15436,c_15435,c_15434,c_15433,c_15432,c_15431,c_15430,c_15429,c_15428,c_15413,c_15376,c_15352,c_15349,c_15348,c_15345,c_15344,c_15342,c_15341,c_15340,c_15312,c_15309,c_15308,c_15305,c_15304,c_15302,c_15301,c_15300,c_15272,c_15269,c_15268,c_15265,c_15264,c_15262,c_15261,c_15260,c_15249,c_15241,c_15237,c_15227,c_15207,c_15204,c_15203,c_15200,c_15199,c_15197,c_15196,c_15195,c_15180,c_15177,c_15174,c_15173,c_15172,c_15171,c_15168,c_15167,c_15166,c_15165,c_15164,c_15163,c_15162,c_15154,c_15146,c_15145,c_15144,c_15133,c_15132,c_15131,c_15130,c_15119,c_15118,c_15110,c_15109,c_15108,c_15111,c_15106,c_15105,c_15104,c_15103,c_15102,c_15101,c_15100,c_15099,c_15098,c_15074,c_15038,c_15037,c_15036,c_15035,c_15034,c_15033,c_15016,c_15015,c_15014,c_15013,c_15010,c_15006,c_14993,c_14992,c_14991,c_14990,c_14979,c_14962,c_14961,c_14960,c_14959,c_14958,c_14957,c_14946,c_14944,c_14932,c_14931,c_14930,c_14929,c_14928,c_14921,c_14920,c_14919,c_14915,c_14914,c_14898,c_14871,c_14869,c_14868,c_14820,c_14815,c_14810,c_14809,c_14808,c_14807,c_14806,c_14797,c_14791,c_14786,c_14785,c_14784,c_14783,c_14782,c_14770,c_14753,c_14752,c_14745,c_14740,c_14739,c_14738,c_14737,c_14736,c_14735,c_14734,c_14729,c_14728,c_14727,c_14726,c_14725,c_14714,c_14713,c_14660,c_14659,c_14654,c_14653,c_14652,c_14651,c_14650,c_14637,c_14626,c_14615,c_14588,c_14581,c_14574,c_14565,c_14564,c_14547,c_14546,c_14501,c_14500,c_14491,c_14490,c_14481,c_14480,c_14471,c_14470,c_14457,c_14456,c_14407,c_14406,c_14397,c_14396,c_14387,c_14386,c_14377,c_14376,c_14357,c_14356,c_14345,c_14334,c_14323,c_14296,c_14289,c_14282,c_14273,c_14272,c_14251,c_14250,c_14233,c_14232,c_14199,c_14198,c_14189,c_14188,c_14179,c_14178,c_14159,c_14148,c_14144,c_10419,c_10416,c_10415,c_10414,c_10413,c_10412,c_10411,c_10410,c_16421,c_16420,c_16732,c_15895,c_15888,c_15896,c_15887,c_15897,c_15886,c_15898,c_15885,c_15884,c_15883,c_15882,c_15878,c_15881,c_15880,c_15879,c_6571,c_6569,c_6567,c_6565,c_6563,c_6561,c_4198,c_4186,c_4174,c_3902,c_3897,c_3892,c_3881,c_3870,c_6298,c_6300,c_6302,c_3826,c_3811,c_3775,c_3770,c_3765,c_3754,c_3743,c_6292,c_6294,c_6296,c_3692,c_3677,c_6549,c_6547,c_6545,c_6543,c_6541,c_6536,c_3577,c_3565,c_3553,c_3541,c_3529,c_3517,c_4249,c_4242,c_4235,c_6531,c_6529,c_6524,c_3224,c_3199,c_3184,c_3169,c_14370,c_14369,c_14371,c_14368,c_14945,c_15490,c_3110,c_1013,c_6348,c_6346,c_6344,c_6342,c_6340,c_273,c_272,c_271,c_270,c_269,c_267,c_265,c_264,c_261,c_260,c_258,c_255,c_254,c_253,c_252,c_251,c_250,c_249,c_244,c_243,c_242,c_241,c_240,c_239,c_236,c_235,c_234,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_218,c_214,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_203,c_202,c_201,c_200,c_199,c_198,c_197,c_196,c_195,c_192,c_191,c_190,c_189,c_188,c_187,c_182,c_180,c_177,c_176,c_175,c_174,c_173,c_172,c_171,c_166,c_165,c_162,c_161,c_160,c_159,c_158,c_157,c_155,c_144,c_141,c_140,c_139,c_138,c_137,c_136,c_134,c_133,c_130,c_129,c_124,c_121,c_120,c_119,c_118,c_117,c_116,c_114,c_113,c_112,c_111,c_110,c_108,c_104,c_97,c_96,c_95,c_94,c_88,c_87,c_86,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_73,c_71,c_62,c_59,c_58,c_57,c_56,c_54,c_53,c_52,c_10417,c_10418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT346+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 21:14:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.38/1.77 % SZS status Started for theBenchmark.p
% 2.38/1.77 % SZS status Theorem for theBenchmark.p
% 2.38/1.77
% 2.38/1.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.38/1.77
% 2.38/1.77 % ------ iProver source info
% 2.38/1.77
% 2.38/1.77 % git: date: 2026-07-19 20:42:38 +0200
% 2.38/1.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.38/1.77 % git: non_committed_changes: false
% 2.38/1.77
% 2.38/1.77 % ------ Parsing...
% 2.38/1.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.38/1.77
% 2.38/1.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 13 0s sf_e pe_s pe_e %
% 2.38/1.77
% 2.38/1.77 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.38/1.77
% 2.38/1.77 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 2.38/1.77 % ------ Proving...
% 2.38/1.77 % ------ Problem Properties
% 2.38/1.77
% 2.38/1.77 %
% 2.38/1.77 % clauses 202
% 2.38/1.77 % conjectures 3
% 2.38/1.77 % EPR 57
% 2.38/1.77 % Horn 159
% 2.38/1.77 % unary 62
% 2.38/1.77 % binary 77
% 2.38/1.77 % lits 483
% 2.38/1.77 % lits eq 24
% 2.38/1.77 % fd_pure 0
% 2.38/1.77 % fd_pseudo 0
% 2.38/1.77 % fd_cond 1
% 2.38/1.77 % fd_pseudo_cond 7
% 2.38/1.77 % AC symbols 0
% 2.38/1.77
% 2.38/1.77 % ------ Schedule dynamic 5 is on
% 2.38/1.77
% 2.38/1.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.38/1.77
% 2.38/1.77
% 2.38/1.77 % ------
% 2.38/1.77 % Current options:
% 2.38/1.77 % ------
% 2.38/1.77
% 2.38/1.77
% 2.38/1.77 %
% 2.38/1.77
% 2.38/1.77 % ------ Proving...
% 2.38/1.77 %
% 2.38/1.77
% 2.38/1.77 % SZS status Theorem for theBenchmark.p
% 2.38/1.77
% 2.38/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.56/1.80
% 8.56/1.80
%------------------------------------------------------------------------------