%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT326+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 : Tue Sep 29 11:48:26 AM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 27
% Syntax : Number of formulae : 271 ( 41 unt; 11 def)
% Number of atoms : 1558 ( 24 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 2232 ( 945 ~;1054 |; 178 &)
% ( 11 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 12 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 214 ( 0 sgn 206 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( ( X2 = k1_realset1(u2_lattices(X0),X1)
& X3 = k1_realset1(u1_lattices(X0),X1) )
=> ( v1_binop_1(X2,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X3,X1)
& v2_binop_1(X3,X1)
& r1_lattice2(X1,X2,X3)
& r1_lattice2(X1,X3,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( ( X2 = k1_realset1(u2_lattices(X0),X1)
& X3 = k1_realset1(u1_lattices(X0),X1) )
=> ( v1_binop_1(X2,X1)
& v2_binop_1(X2,X1)
& v1_binop_1(X3,X1)
& v2_binop_1(X3,X1)
& r1_lattice2(X1,X2,X3)
& r1_lattice2(X1,X3,X2) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f17,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f21,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f23,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f25,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f35,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f38,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(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_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(f40,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v5_lattices(X0)
& l2_lattices(X0) )
=> ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(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_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattice2) ).
fof(f42,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0) )
=> ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(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_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(f44,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v7_lattices(X0)
& l1_lattices(X0) )
=> ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(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_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_lattice2) ).
fof(f57,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( X3 = k1_realset1(X2,X1)
=> ( ( v1_binop_1(X2,X0)
=> v1_binop_1(X3,X1) )
& ( v3_binop_1(X2,X0)
=> v3_binop_1(X3,X1) )
& ( v2_binop_1(X2,X0)
=> v2_binop_1(X3,X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_filter_2) ).
fof(f61,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_lattice2) ).
fof(f62,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_lattice2) ).
fof(f64,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
& m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
=> ( ( X4 = k1_realset1(X2,X1)
& X5 = k1_realset1(X3,X1)
& r1_lattice2(X0,X2,X3) )
=> r1_lattice2(X1,X4,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_filter_2) ).
fof(f71,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& l2_lattices(X0) )
=> ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(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)) ) ),
inference(pure_predicate_removal,[],[f38]) ).
fof(f72,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v7_lattices(X0)
& l1_lattices(X0) )
=> ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(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)) ) ),
inference(pure_predicate_removal,[],[f44]) ).
fof(f73,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v5_lattices(X0)
& l2_lattices(X0) )
=> ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(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)) ) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f74,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v6_lattices(X0)
& l1_lattices(X0) )
=> ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(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)) ) ),
inference(pure_predicate_removal,[],[f42]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ v1_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ r1_lattice2(X1,X2,X3)
| ~ r1_lattice2(X1,X3,X2) )
& X2 = k1_realset1(u2_lattices(X0),X1)
& X3 = k1_realset1(u1_lattices(X0),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f78,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ v1_binop_1(X2,X1)
| ~ v2_binop_1(X2,X1)
| ~ v1_binop_1(X3,X1)
| ~ v2_binop_1(X3,X1)
| ~ r1_lattice2(X1,X2,X3)
| ~ r1_lattice2(X1,X3,X2) )
& X2 = k1_realset1(u2_lattices(X0),X1)
& X3 = k1_realset1(u1_lattices(X0),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1) )
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f77]) ).
fof(f81,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f82,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v4_lattices(X0)
& v5_lattices(X0)
& v6_lattices(X0)
& v7_lattices(X0)
& v8_lattices(X0)
& v9_lattices(X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f81]) ).
fof(f91,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f92,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f93]) ).
fof(f96,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& 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(ennf_transformation,[],[f23]) ).
fof(f97,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& 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(ennf_transformation,[],[f25]) ).
fof(f101,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f102,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(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)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f104,plain,
! [X0] :
( ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(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)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f103]) ).
fof(f107,plain,
! [X0] :
( ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(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)) )
| v3_struct_0(X0)
| ~ v5_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f108,plain,
! [X0] :
( ( v1_relat_1(u2_lattices(X0))
& v1_funct_1(u2_lattices(X0))
& v1_funct_2(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)) )
| v3_struct_0(X0)
| ~ v5_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f107]) ).
fof(f111,plain,
! [X0] :
( ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(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)) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f112,plain,
! [X0] :
( ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(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)) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f111]) ).
fof(f115,plain,
! [X0] :
( ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(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)) )
| v3_struct_0(X0)
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f116,plain,
! [X0] :
( ( v1_relat_1(u1_lattices(X0))
& v1_funct_1(u1_lattices(X0))
& v1_funct_2(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)) )
| v3_struct_0(X0)
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f115]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v1_binop_1(X3,X1)
| ~ v1_binop_1(X2,X0) )
& ( v3_binop_1(X3,X1)
| ~ v3_binop_1(X2,X0) )
& ( v2_binop_1(X3,X1)
| ~ v2_binop_1(X2,X0) ) )
| k1_realset1(X2,X1) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( v1_binop_1(X3,X1)
| ~ v1_binop_1(X2,X0) )
& ( v3_binop_1(X3,X1)
| ~ v3_binop_1(X2,X0) )
& ( v2_binop_1(X3,X1)
| ~ v2_binop_1(X2,X0) ) )
| k1_realset1(X2,X1) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f122]) ).
fof(f128,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f129,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f131,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f130]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r1_lattice2(X1,X4,X5)
| k1_realset1(X2,X1) != X4
| k1_realset1(X3,X1) != X5
| ~ r1_lattice2(X0,X2,X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r1_lattice2(X1,X4,X5)
| k1_realset1(X2,X1) != X4
| k1_realset1(X3,X1) != X5
| ~ r1_lattice2(X0,X2,X3)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f134]) ).
fof(f140,plain,
( ~ r1_lattice2(sK1,sK3,sK2)
| ~ r1_lattice2(sK1,sK2,sK3)
| ~ v2_binop_1(sK3,sK1)
| ~ v1_binop_1(sK3,sK1)
| ~ v2_binop_1(sK2,sK1)
| ~ v1_binop_1(sK2,sK1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f141,plain,
m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f142,plain,
v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f143,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f78]) ).
fof(f144,plain,
sK3 = k1_realset1(u1_lattices(sK0),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f145,plain,
sK2 = k1_realset1(u2_lattices(sK0),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f146,plain,
m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f147,plain,
v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f148,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f78]) ).
fof(f149,plain,
m2_lattice4(sK1,sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f150,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f151,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f152,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f153,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f78]) ).
fof(f158,plain,
! [X0] :
( v7_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f159,plain,
! [X0] :
( v6_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f160,plain,
! [X0] :
( v5_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f161,plain,
! [X0] :
( v4_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f167,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f168,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f169,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f170,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f94]) ).
fof(f172,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,[],[f96]) ).
fof(f173,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,[],[f96]) ).
fof(f174,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f175,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,[],[f97]) ).
fof(f176,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,[],[f97]) ).
fof(f177,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f187,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f190,plain,
! [X0] :
( ~ v4_lattices(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f196,plain,
! [X0] :
( ~ v5_lattices(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f202,plain,
! [X0] :
( ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f207,plain,
! [X0] :
( ~ v7_lattices(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f233,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| k1_realset1(X2,X1) != X3
| ~ v1_binop_1(X2,X0)
| v1_binop_1(X3,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| k1_realset1(X2,X1) != X3
| ~ v2_binop_1(X2,X0)
| v2_binop_1(X3,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f239,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f240,plain,
! [X0] :
( r1_lattice2(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f242,plain,
! [X2,X3,X0,X1,X4,X5] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X5)
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X3,X1) != X5
| k1_realset1(X2,X1) != X4
| r1_lattice2(X1,X4,X5) ),
inference(cnf_transformation,[],[f135]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ v2_binop_1(X2,X0)
| v2_binop_1(k1_realset1(X2,X1),X1)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f235]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ v1_binop_1(X2,X0)
| v1_binop_1(k1_realset1(X2,X1),X1)
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f233]) ).
fof(f250,plain,
! [X2,X3,X0,X1,X4] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| ~ r1_lattice2(X0,X2,X3)
| k1_realset1(X2,X1) != X4
| r1_lattice2(X1,X4,k1_realset1(X3,X1)) ),
inference(equality_resolution,[],[f242]) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( ~ r1_lattice2(X0,X2,X3)
| r1_lattice2(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| v1_xboole_0(X1)
| ~ m2_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ m2_relset_1(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X3,X1))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f250]) ).
fof(f253,definition,
( spl22_1
<=> v1_binop_1(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f255,plain,
( ~ v1_binop_1(sK2,sK1)
| spl22_1 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f257,definition,
( spl22_2
<=> v2_binop_1(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f261,definition,
( spl22_3
<=> v1_binop_1(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f265,definition,
( spl22_4
<=> v2_binop_1(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f269,definition,
( spl22_5
<=> r1_lattice2(sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f273,definition,
( spl22_6
<=> r1_lattice2(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f276,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f140,f273,f269,f265,f261,f257,f253]) ).
fof(f278,plain,
! [X0] :
( ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(resolution,[],[f174,f169]) ).
fof(f280,plain,
! [X0] :
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(resolution,[],[f177,f168]) ).
fof(f291,plain,
v1_funct_1(u1_lattices(sK0)),
inference(resolution,[],[f278,f151]) ).
fof(f315,plain,
! [X0] :
( ~ l2_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f187,f167]) ).
fof(f350,plain,
v1_funct_1(u2_lattices(sK0)),
inference(resolution,[],[f280,f151]) ).
fof(f413,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f315,f168]) ).
fof(f479,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f190,f161]) ).
fof(f480,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f479]) ).
fof(f481,plain,
! [X0] :
( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f480,f168]) ).
fof(f482,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f196,f160]) ).
fof(f483,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f482]) ).
fof(f484,plain,
! [X0] :
( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f483,f168]) ).
fof(f488,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f202,f159]) ).
fof(f489,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f490,plain,
! [X0] :
( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f489,f169]) ).
fof(f494,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f207,f158]) ).
fof(f495,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f494]) ).
fof(f496,plain,
! [X0] :
( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f495,f169]) ).
fof(f498,plain,
! [X0] :
( ~ l3_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f172,f169]) ).
fof(f503,plain,
! [X0] :
( ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f173,f169]) ).
fof(f508,plain,
! [X0] :
( ~ l3_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f175,f168]) ).
fof(f510,plain,
! [X0] :
( ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f176,f168]) ).
fof(f525,plain,
( ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f170,f149]) ).
fof(f530,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f525,f152]) ).
fof(f531,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f530,f153]) ).
fof(f532,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f531,f151]) ).
fof(f537,plain,
( v3_struct_0(sK0)
| ~ v1_xboole_0(u1_struct_0(sK0)) ),
inference(resolution,[],[f413,f151]) ).
fof(f548,plain,
~ v1_xboole_0(u1_struct_0(sK0)),
inference(forward_subsumption_resolution,[],[f537,f153]) ).
fof(f555,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| v1_xboole_0(sK1)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(superposition,[],[f247,f144]) ).
fof(f556,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| v1_xboole_0(sK1)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(superposition,[],[f247,f145]) ).
fof(f559,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f556,f150]) ).
fof(f560,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f555,f150]) ).
fof(f561,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f559,f350]) ).
fof(f562,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f560,f291]) ).
fof(f563,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f561,f146]) ).
fof(f564,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f562,f141]) ).
fof(f565,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f563,f147]) ).
fof(f566,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f564,f142]) ).
fof(f567,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f565,f148]) ).
fof(f568,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f566,f143]) ).
fof(f570,definition,
( spl22_23
<=> ! [X0] :
( ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_23])],[avatar_definition]) ).
fof(f571,plain,
( ! [X0] :
( ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0) )
| ~ spl22_23 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f572,plain,
( spl22_23
| spl22_2 ),
inference(avatar_split_clause,[],[f567,f257,f570]) ).
fof(f574,definition,
( spl22_24
<=> ! [X0] :
( ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_24])],[avatar_definition]) ).
fof(f575,plain,
( ! [X0] :
( ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0) )
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f576,plain,
( spl22_24
| spl22_4 ),
inference(avatar_split_clause,[],[f568,f265,f574]) ).
fof(f587,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| v1_xboole_0(sK1)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(superposition,[],[f249,f144]) ).
fof(f588,plain,
! [X0] :
( v1_binop_1(sK2,sK1)
| ~ v1_binop_1(u2_lattices(sK0),X0)
| v1_xboole_0(sK1)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(superposition,[],[f249,f145]) ).
fof(f591,plain,
( ! [X0] :
( ~ v1_binop_1(u2_lattices(sK0),X0)
| v1_xboole_0(sK1)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f588,f255]) ).
fof(f592,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f587,f150]) ).
fof(f593,plain,
( ! [X0] :
( ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f591,f150]) ).
fof(f594,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f592,f291]) ).
fof(f595,plain,
( ! [X0] :
( ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f593,f350]) ).
fof(f596,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f594,f141]) ).
fof(f597,plain,
( ! [X0] :
( ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f595,f146]) ).
fof(f598,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f596,f142]) ).
fof(f599,plain,
( ! [X0] :
( ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f597,f147]) ).
fof(f600,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f598,f143]) ).
fof(f601,plain,
( ! [X0] :
( ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0)) )
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f599,f148]) ).
fof(f603,definition,
( spl22_26
<=> ! [X0] :
( ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f604,plain,
( ! [X0] :
( ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0) )
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f605,plain,
( spl22_26
| spl22_3 ),
inference(avatar_split_clause,[],[f600,f261,f603]) ).
fof(f612,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ r1_lattice2(X1,X0,u1_lattices(sK0))
| v1_xboole_0(sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(superposition,[],[f251,f144]) ).
fof(f613,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ r1_lattice2(X1,X0,u2_lattices(sK0))
| v1_xboole_0(sK1)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(superposition,[],[f251,f145]) ).
fof(f616,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ r1_lattice2(X1,X0,u2_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f613,f150]) ).
fof(f617,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ r1_lattice2(X1,X0,u1_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f612,f150]) ).
fof(f622,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ r1_lattice2(X1,X0,u2_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f616,f350]) ).
fof(f623,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ r1_lattice2(X1,X0,u1_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f617,f291]) ).
fof(f628,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ r1_lattice2(X1,X0,u2_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f622,f146]) ).
fof(f629,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ r1_lattice2(X1,X0,u1_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(sK3)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f623,f141]) ).
fof(f634,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ r1_lattice2(X1,X0,u2_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_1(sK2)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f628,f147]) ).
fof(f635,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ r1_lattice2(X1,X0,u1_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_1(sK3)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f629,f142]) ).
fof(f640,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ r1_lattice2(X1,X0,u2_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f634,f148]) ).
fof(f641,plain,
! [X0,X1] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ r1_lattice2(X1,X0,u1_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| v1_xboole_0(X1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f635,f143]) ).
fof(f650,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f640,f240]) ).
fof(f656,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f650,f498]) ).
fof(f659,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f656,f503]) ).
fof(f662,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f659,f278]) ).
fof(f665,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f662,f508]) ).
fof(f678,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f665,f510]) ).
fof(f679,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f678,f413]) ).
fof(f680,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f679,f532]) ).
fof(f681,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f680,f152]) ).
fof(f682,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f681,f153]) ).
fof(f683,plain,
( r1_lattice2(sK1,k1_realset1(u1_lattices(sK0),sK1),sK2)
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1)) ),
inference(forward_subsumption_resolution,[],[f682,f151]) ).
fof(f684,plain,
( r1_lattice2(sK1,sK3,sK2)
| ~ m2_relset_1(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1)) ),
inference(forward_demodulation,[],[f683,f144]) ).
fof(f685,plain,
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r1_lattice2(sK1,sK3,sK2)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1)) ),
inference(forward_demodulation,[],[f684,f144]) ).
fof(f686,plain,
( r1_lattice2(sK1,sK3,sK2)
| ~ v1_funct_2(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1)) ),
inference(forward_subsumption_resolution,[],[f685,f141]) ).
fof(f687,plain,
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r1_lattice2(sK1,sK3,sK2)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1)) ),
inference(forward_demodulation,[],[f686,f144]) ).
fof(f688,plain,
( r1_lattice2(sK1,sK3,sK2)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1)) ),
inference(forward_subsumption_resolution,[],[f687,f142]) ).
fof(f689,plain,
( ~ v1_funct_1(sK3)
| r1_lattice2(sK1,sK3,sK2) ),
inference(forward_demodulation,[],[f688,f144]) ).
fof(f690,plain,
r1_lattice2(sK1,sK3,sK2),
inference(forward_subsumption_resolution,[],[f689,f143]) ).
fof(f691,plain,
spl22_6,
inference(avatar_split_clause,[],[f690,f273]) ).
fof(f692,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f641,f239]) ).
fof(f698,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f692,f508]) ).
fof(f701,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f698,f510]) ).
fof(f704,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f701,f280]) ).
fof(f707,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f704,f498]) ).
fof(f720,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f707,f503]) ).
fof(f721,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f720,f413]) ).
fof(f722,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f721,f532]) ).
fof(f723,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f722,f152]) ).
fof(f724,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f723,f153]) ).
fof(f725,plain,
( r1_lattice2(sK1,k1_realset1(u2_lattices(sK0),sK1),sK3)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1)) ),
inference(forward_subsumption_resolution,[],[f724,f151]) ).
fof(f726,plain,
( r1_lattice2(sK1,sK2,sK3)
| ~ m2_relset_1(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1)) ),
inference(forward_demodulation,[],[f725,f145]) ).
fof(f727,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| r1_lattice2(sK1,sK2,sK3)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1)) ),
inference(forward_demodulation,[],[f726,f145]) ).
fof(f728,plain,
( r1_lattice2(sK1,sK2,sK3)
| ~ v1_funct_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1)) ),
inference(forward_subsumption_resolution,[],[f727,f146]) ).
fof(f729,plain,
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| r1_lattice2(sK1,sK2,sK3)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1)) ),
inference(forward_demodulation,[],[f728,f145]) ).
fof(f730,plain,
( r1_lattice2(sK1,sK2,sK3)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1)) ),
inference(forward_subsumption_resolution,[],[f729,f147]) ).
fof(f731,plain,
( ~ v1_funct_1(sK2)
| r1_lattice2(sK1,sK2,sK3) ),
inference(forward_demodulation,[],[f730,f145]) ).
fof(f732,plain,
r1_lattice2(sK1,sK2,sK3),
inference(forward_subsumption_resolution,[],[f731,f148]) ).
fof(f733,plain,
spl22_5,
inference(avatar_split_clause,[],[f732,f269]) ).
fof(f882,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| spl22_1 ),
inference(resolution,[],[f481,f601]) ).
fof(f885,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f882,f153]) ).
fof(f887,plain,
( ~ l3_lattices(sK0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f885,f152]) ).
fof(f889,plain,
( ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f887,f151]) ).
fof(f891,plain,
( ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f889,f548]) ).
fof(f892,plain,
( ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f891,f532]) ).
fof(f894,definition,
( spl22_35
<=> v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_35])],[avatar_definition]) ).
fof(f896,plain,
( ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl22_35 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f898,definition,
( spl22_36
<=> m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_36])],[avatar_definition]) ).
fof(f901,plain,
( ~ spl22_35
| ~ spl22_36
| spl22_1 ),
inference(avatar_split_clause,[],[f892,f253,f898,f894]) ).
fof(f1042,plain,
m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f508,f151]) ).
fof(f1044,plain,
spl22_36,
inference(avatar_split_clause,[],[f1042,f898]) ).
fof(f1046,plain,
v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f510,f151]) ).
fof(f1048,plain,
( $false
| spl22_35 ),
inference(forward_subsumption_resolution,[],[f1046,f896]) ).
fof(f1049,plain,
spl22_35,
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1050,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_23 ),
inference(resolution,[],[f571,f484]) ).
fof(f1051,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_23 ),
inference(forward_subsumption_resolution,[],[f1050,f532]) ).
fof(f1052,plain,
( ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_23 ),
inference(forward_subsumption_resolution,[],[f1051,f413]) ).
fof(f1053,plain,
( ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_23 ),
inference(forward_subsumption_resolution,[],[f1052,f510]) ).
fof(f1054,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_23 ),
inference(forward_subsumption_resolution,[],[f1053,f508]) ).
fof(f1055,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_23 ),
inference(forward_subsumption_resolution,[],[f1054,f153]) ).
fof(f1056,plain,
( ~ l3_lattices(sK0)
| ~ spl22_23 ),
inference(forward_subsumption_resolution,[],[f1055,f152]) ).
fof(f1057,plain,
( $false
| ~ spl22_23 ),
inference(forward_subsumption_resolution,[],[f1056,f151]) ).
fof(f1058,plain,
~ spl22_23,
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1060,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_24 ),
inference(resolution,[],[f575,f496]) ).
fof(f1061,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1060,f532]) ).
fof(f1062,plain,
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1061,f413]) ).
fof(f1063,plain,
( ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1062,f503]) ).
fof(f1064,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1063,f498]) ).
fof(f1065,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1064,f153]) ).
fof(f1066,plain,
( ~ l3_lattices(sK0)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1065,f152]) ).
fof(f1067,plain,
( $false
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1066,f151]) ).
fof(f1068,plain,
~ spl22_24,
inference(avatar_contradiction_clause,[],[f1067]) ).
fof(f1069,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_26 ),
inference(resolution,[],[f604,f490]) ).
fof(f1070,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f1069,f532]) ).
fof(f1071,plain,
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f1070,f413]) ).
fof(f1072,plain,
( ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f1071,f503]) ).
fof(f1073,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f1072,f498]) ).
fof(f1074,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f1073,f153]) ).
fof(f1075,plain,
( ~ l3_lattices(sK0)
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f1074,f152]) ).
fof(f1076,plain,
( $false
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f1075,f151]) ).
fof(f1077,plain,
~ spl22_26,
inference(avatar_contradiction_clause,[],[f1076]) ).
cnf(s1,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(sat_conversion,[],[f276]) ).
cnf(s14,plain,
( spl22_2
| spl22_23 ),
inference(sat_conversion,[],[f572]) ).
cnf(s15,plain,
( spl22_4
| spl22_24 ),
inference(sat_conversion,[],[f576]) ).
cnf(s17,plain,
( spl22_3
| spl22_26 ),
inference(sat_conversion,[],[f605]) ).
cnf(s20,plain,
spl22_6,
inference(sat_conversion,[],[f691]) ).
cnf(s23,plain,
spl22_5,
inference(sat_conversion,[],[f733]) ).
cnf(s28,plain,
( spl22_1
| ~ spl22_35
| ~ spl22_36 ),
inference(sat_conversion,[],[f901]) ).
cnf(s29,plain,
spl22_36,
inference(sat_conversion,[],[f1044]) ).
cnf(s30,plain,
spl22_35,
inference(sat_conversion,[],[f1049]) ).
cnf(s31,plain,
~ spl22_23,
inference(sat_conversion,[],[f1058]) ).
cnf(s32,plain,
~ spl22_24,
inference(sat_conversion,[],[f1068]) ).
cnf(s33,plain,
~ spl22_26,
inference(sat_conversion,[],[f1077]) ).
cnf(s34,plain,
spl22_1,
inference(rat,[],[s28,s29,s30]) ).
cnf(s35,plain,
spl22_3,
inference(rat,[],[s17,s33]) ).
cnf(s36,plain,
spl22_4,
inference(rat,[],[s15,s32]) ).
cnf(s37,plain,
spl22_2,
inference(rat,[],[s14,s31]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s20,s23,s36,s35,s37,s34]) ).
fof(f1078,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT326+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n007.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 14:36:55 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.51 % (1476556)Will run a generic schedule for satisfiability detection.
% 0.17/0.51 % (1476562)% WARNING: option uhcvi not known.
% 0.17/0.51 % (1476567)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=379782411:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.51 % (1476563)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3811315668:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.51 % (1476561)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2256812955_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.51 % (1476562)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3426696484:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.51 % (1476564)dis+10_1_sil=32000:sp=arity:random_seed=3567440863:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51 % (1476565)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3153730110:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51 % (1476566)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=717962425:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.51 % TRYING [1]
% 0.17/0.51 % TRYING [2]
% 0.17/0.51 % TRYING [3]
% 0.17/0.51 % TRYING [4]
% 0.17/0.51 % (1476565) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1476556-1476565"...
% 0.17/0.51 % (1476562) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1476556-1476562"...
% 0.17/0.51 % (1476564) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1476556-1476564"...
% 0.17/0.51 % (1476565)...printing done.
% 0.17/0.51 % (1476565)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (1476565)------------------------------
% 0.17/0.52 % (1476565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (1476565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (1476565)CaDiCaL version: 2.1.3
% 0.17/0.52 % (1476565)Termination reason: Refutation
% 0.17/0.52 % (1476565)Time elapsed: 0.029 s
% 0.17/0.52 % (1476565)Peak memory usage: 13 MB
% 0.17/0.52 % (1476565)Instructions burned: 47 (million)
% 0.17/0.52 % (1476556)Success in time 0.074 s
% 0.17/0.52 % Vampire exiting
%------------------------------------------------------------------------------