%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n019.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 11:46:57 AM UTC 2026
% Result : Theorem 2.66s 1.29s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 41
% Syntax : Number of formulae : 357 ( 46 unt; 25 def)
% Number of atoms : 1923 ( 26 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 2746 (1180 ~;1306 |; 191 &)
% ( 25 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 26 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 206 ( 0 sgn 198 !; 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(f15,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_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(f90,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
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,
( ( ~ v1_binop_1(sK2,sK1)
| ~ v2_binop_1(sK2,sK1)
| ~ v1_binop_1(sK3,sK1)
| ~ v2_binop_1(sK3,sK1)
| ~ r1_lattice2(sK1,sK2,sK3)
| ~ r1_lattice2(sK1,sK3,sK2) )
& sK2 = k1_realset1(u2_lattices(sK0),sK1)
& sK3 = k1_realset1(u1_lattices(sK0),sK1)
& v1_funct_1(sK3)
& v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
& m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
& v1_funct_1(sK2)
& v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
& m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
& ~ v1_xboole_0(sK1)
& m2_lattice4(sK1,sK0)
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f78]) ).
fof(f160,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f161,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f162,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f163,plain,
m2_lattice4(sK1,sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f164,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f165,plain,
m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f166,plain,
v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f167,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f140]) ).
fof(f168,plain,
m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f169,plain,
v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f170,plain,
v1_funct_1(sK3),
inference(cnf_transformation,[],[f140]) ).
fof(f171,plain,
sK3 = k1_realset1(u1_lattices(sK0),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f172,plain,
sK2 = k1_realset1(u2_lattices(sK0),sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f173,plain,
( ~ v1_binop_1(sK2,sK1)
| ~ v2_binop_1(sK2,sK1)
| ~ v1_binop_1(sK3,sK1)
| ~ v2_binop_1(sK3,sK1)
| ~ r1_lattice2(sK1,sK2,sK3)
| ~ r1_lattice2(sK1,sK3,sK2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f178,plain,
! [X0] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f179,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f180,plain,
! [X0] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f181,plain,
! [X0] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f190,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f192,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f193,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f194,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f196,plain,
! [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(cnf_transformation,[],[f96]) ).
fof(f197,plain,
! [X0] :
( 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,[],[f96]) ).
fof(f198,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f199,plain,
! [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(cnf_transformation,[],[f97]) ).
fof(f200,plain,
! [X0] :
( 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,[],[f97]) ).
fof(f201,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f211,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f214,plain,
! [X0] :
( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f220,plain,
! [X0] :
( v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v5_lattices(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f226,plain,
! [X0] :
( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f231,plain,
! [X0] :
( v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f123]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( v1_binop_1(X3,X1)
| ~ v1_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(cnf_transformation,[],[f123]) ).
fof(f263,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(cnf_transformation,[],[f129]) ).
fof(f264,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(cnf_transformation,[],[f131]) ).
fof(f266,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f135]) ).
fof(f271,plain,
! [X2,X0,X1] :
( v1_binop_1(k1_realset1(X2,X1),X1)
| ~ v1_binop_1(X2,X0)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),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(equality_resolution,[],[f259]) ).
fof(f273,plain,
! [X2,X0,X1] :
( v2_binop_1(k1_realset1(X2,X1),X1)
| ~ v2_binop_1(X2,X0)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),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(equality_resolution,[],[f257]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X5] :
( r1_lattice2(X1,k1_realset1(X2,X1),X5)
| 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(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),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(equality_resolution,[],[f266]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ r1_lattice2(X0,X2,X3)
| ~ v1_funct_1(k1_realset1(X3,X1))
| r1_lattice2(X1,k1_realset1(X2,X1),k1_realset1(X3,X1))
| ~ m2_relset_1(k1_realset1(X3,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(k1_realset1(X2,X1))
| ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(k1_realset1(X2,X1),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(equality_resolution,[],[f274]) ).
fof(f277,definition,
( spl22_1
<=> r1_lattice2(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f281,definition,
( spl22_2
<=> r1_lattice2(sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f285,definition,
( spl22_3
<=> v2_binop_1(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f289,definition,
( spl22_4
<=> v1_binop_1(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f293,definition,
( spl22_5
<=> v2_binop_1(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f297,definition,
( spl22_6
<=> v1_binop_1(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f300,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(avatar_split_clause,[],[f173,f297,f293,f289,f285,f281,f277]) ).
fof(f357,definition,
( spl22_11
<=> l2_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f358,plain,
( l2_lattices(sK0)
| ~ spl22_11 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( ~ l2_lattices(sK0)
| spl22_11 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl22_12
<=> v4_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f362,plain,
( v4_lattices(sK0)
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( ~ v4_lattices(sK0)
| spl22_12 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f365,plain,
( ~ l3_lattices(sK0)
| spl22_11 ),
inference(resolution,[],[f359,f192]) ).
fof(f366,plain,
( $false
| spl22_11 ),
inference(forward_subsumption_resolution,[],[f365,f160]) ).
fof(f367,plain,
spl22_11,
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f371,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl22_12 ),
inference(resolution,[],[f363,f181]) ).
fof(f372,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f371,f162]) ).
fof(f373,plain,
( ~ l3_lattices(sK0)
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f372,f161]) ).
fof(f374,plain,
( $false
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f373,f160]) ).
fof(f375,plain,
spl22_12,
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f379,definition,
( spl22_13
<=> l1_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_13])],[avatar_definition]) ).
fof(f380,plain,
( l1_lattices(sK0)
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( ~ l1_lattices(sK0)
| spl22_13 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f383,definition,
( spl22_14
<=> v6_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_14])],[avatar_definition]) ).
fof(f384,plain,
( v6_lattices(sK0)
| ~ spl22_14 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( ~ v6_lattices(sK0)
| spl22_14 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f387,plain,
( ~ l3_lattices(sK0)
| spl22_13 ),
inference(resolution,[],[f381,f193]) ).
fof(f388,plain,
( $false
| spl22_13 ),
inference(forward_subsumption_resolution,[],[f387,f160]) ).
fof(f389,plain,
spl22_13,
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f393,definition,
( spl22_15
<=> v7_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_15])],[avatar_definition]) ).
fof(f394,plain,
( v7_lattices(sK0)
| ~ spl22_15 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f395,plain,
( ~ v7_lattices(sK0)
| spl22_15 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f397,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl22_14 ),
inference(resolution,[],[f385,f179]) ).
fof(f398,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl22_14 ),
inference(forward_subsumption_resolution,[],[f397,f162]) ).
fof(f399,plain,
( ~ l3_lattices(sK0)
| spl22_14 ),
inference(forward_subsumption_resolution,[],[f398,f161]) ).
fof(f400,plain,
( $false
| spl22_14 ),
inference(forward_subsumption_resolution,[],[f399,f160]) ).
fof(f401,plain,
spl22_14,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f405,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl22_15 ),
inference(resolution,[],[f395,f178]) ).
fof(f406,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl22_15 ),
inference(forward_subsumption_resolution,[],[f405,f162]) ).
fof(f407,plain,
( ~ l3_lattices(sK0)
| spl22_15 ),
inference(forward_subsumption_resolution,[],[f406,f161]) ).
fof(f408,plain,
( $false
| spl22_15 ),
inference(forward_subsumption_resolution,[],[f407,f160]) ).
fof(f409,plain,
spl22_15,
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f435,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f194,f161]) ).
fof(f436,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f435,f162]) ).
fof(f437,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_lattice4(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f436,f160]) ).
fof(f466,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(superposition,[],[f271,f171]) ).
fof(f467,plain,
! [X0] :
( v1_binop_1(sK2,sK1)
| ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(superposition,[],[f271,f172]) ).
fof(f468,plain,
! [X0] :
( v1_binop_1(sK2,sK1)
| ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f467,f167]) ).
fof(f469,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f466,f170]) ).
fof(f470,plain,
! [X0] :
( v1_binop_1(sK2,sK1)
| ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f468,f166]) ).
fof(f471,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f469,f169]) ).
fof(f472,plain,
! [X0] :
( v1_binop_1(sK2,sK1)
| ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f470,f165]) ).
fof(f473,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f471,f168]) ).
fof(f474,plain,
! [X0] :
( v1_binop_1(sK2,sK1)
| ~ v1_binop_1(u2_lattices(sK0),X0)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f472,f164]) ).
fof(f475,plain,
! [X0] :
( v1_binop_1(sK3,sK1)
| ~ v1_binop_1(u1_lattices(sK0),X0)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f473,f164]) ).
fof(f477,definition,
( spl22_18
<=> v1_funct_1(u2_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_18])],[avatar_definition]) ).
fof(f478,plain,
( v1_funct_1(u2_lattices(sK0))
| ~ spl22_18 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( ~ v1_funct_1(u2_lattices(sK0))
| spl22_18 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f481,definition,
( spl22_19
<=> ! [X0] :
( ~ v1_binop_1(u2_lattices(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(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) ) ),
introduced(definition,[new_symbols(definition,[spl22_19])],[avatar_definition]) ).
fof(f482,plain,
( ! [X0] :
( ~ v1_binop_1(u2_lattices(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(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) )
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f483,plain,
( ~ spl22_18
| spl22_19
| spl22_6 ),
inference(avatar_split_clause,[],[f474,f297,f481,f477]) ).
fof(f485,definition,
( spl22_20
<=> v1_funct_1(u1_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_20])],[avatar_definition]) ).
fof(f486,plain,
( v1_funct_1(u1_lattices(sK0))
| ~ spl22_20 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( ~ v1_funct_1(u1_lattices(sK0))
| spl22_20 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f489,definition,
( spl22_21
<=> ! [X0] :
( ~ v1_binop_1(u1_lattices(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(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) ) ),
introduced(definition,[new_symbols(definition,[spl22_21])],[avatar_definition]) ).
fof(f490,plain,
( ! [X0] :
( ~ v1_binop_1(u1_lattices(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(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) )
| ~ spl22_21 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( ~ spl22_20
| spl22_21
| spl22_4 ),
inference(avatar_split_clause,[],[f475,f289,f489,f485]) ).
fof(f492,plain,
( ~ l2_lattices(sK0)
| spl22_18 ),
inference(resolution,[],[f479,f201]) ).
fof(f494,plain,
( $false
| ~ spl22_11
| spl22_18 ),
inference(forward_subsumption_resolution,[],[f492,f358]) ).
fof(f495,plain,
( ~ spl22_11
| spl22_18 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f496,plain,
( ~ l1_lattices(sK0)
| spl22_20 ),
inference(resolution,[],[f487,f198]) ).
fof(f498,plain,
( $false
| ~ spl22_13
| spl22_20 ),
inference(forward_subsumption_resolution,[],[f496,f380]) ).
fof(f499,plain,
( ~ spl22_13
| spl22_20 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f500,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ v1_funct_1(sK3)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(superposition,[],[f273,f171]) ).
fof(f501,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(superposition,[],[f273,f172]) ).
fof(f502,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f501,f167]) ).
fof(f503,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f500,f170]) ).
fof(f504,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f502,f166]) ).
fof(f505,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f503,f169]) ).
fof(f506,plain,
! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),X0)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f504,f165]) ).
fof(f507,plain,
! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),X0)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f505,f168]) ).
fof(f508,plain,
( ! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),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)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f506,f478]) ).
fof(f509,plain,
( ! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),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)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f507,f486]) ).
fof(f510,plain,
( ! [X0] :
( v2_binop_1(sK2,sK1)
| ~ v2_binop_1(u2_lattices(sK0),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)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f508,f164]) ).
fof(f511,plain,
( ! [X0] :
( v2_binop_1(sK3,sK1)
| ~ v2_binop_1(u1_lattices(sK0),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)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f509,f164]) ).
fof(f513,definition,
( spl22_22
<=> ! [X0] :
( ~ v2_binop_1(u2_lattices(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(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) ) ),
introduced(definition,[new_symbols(definition,[spl22_22])],[avatar_definition]) ).
fof(f514,plain,
( ! [X0] :
( ~ v2_binop_1(u2_lattices(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(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) )
| ~ spl22_22 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f515,plain,
( spl22_22
| spl22_5
| ~ spl22_18 ),
inference(avatar_split_clause,[],[f510,f477,f293,f513]) ).
fof(f517,definition,
( spl22_23
<=> ! [X0] :
( ~ v2_binop_1(u1_lattices(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(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) ) ),
introduced(definition,[new_symbols(definition,[spl22_23])],[avatar_definition]) ).
fof(f518,plain,
( ! [X0] :
( ~ v2_binop_1(u1_lattices(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(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) )
| ~ spl22_23 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( spl22_23
| spl22_3
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f511,f485,f285,f517]) ).
fof(f523,plain,
! [X0,X1] :
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(X0,X1,u1_lattices(sK0))
| ~ v1_funct_1(sK3)
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(superposition,[],[f275,f171]) ).
fof(f524,plain,
! [X0,X1] :
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(X0,X1,u2_lattices(sK0))
| ~ v1_funct_1(sK2)
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK2)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(superposition,[],[f275,f172]) ).
fof(f527,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK0))
| ~ v1_funct_1(sK2)
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK2)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f524,f166]) ).
fof(f528,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u1_lattices(sK0))
| ~ v1_funct_1(sK3)
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f523,f169]) ).
fof(f530,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK0))
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK2)
| ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f527,f167]) ).
fof(f531,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u1_lattices(sK0))
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK3)
| ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f528,f170]) ).
fof(f532,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK0))
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK2)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f530,f165]) ).
fof(f533,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u1_lattices(sK0))
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK3)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f531,f168]) ).
fof(f534,plain,
( ! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK0))
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK2)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f532,f478]) ).
fof(f535,plain,
( ! [X0,X1] :
( ~ r1_lattice2(X0,X1,u1_lattices(sK0))
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK3)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f533,f486]) ).
fof(f536,plain,
( ! [X0,X1] :
( ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK2)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(X0,X1,u2_lattices(sK0))
| ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f534,f164]) ).
fof(f537,plain,
( ! [X0,X1] :
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| r1_lattice2(sK1,k1_realset1(X1,sK1),sK3)
| ~ v1_funct_1(k1_realset1(X1,sK1))
| ~ v1_funct_2(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X1,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(X0,X1,u1_lattices(sK0))
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f535,f164]) ).
fof(f539,plain,
( ! [X0] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(u1_struct_0(sK0),X0,u2_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_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(X0,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)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l2_lattices(sK0) )
| ~ spl22_18 ),
inference(resolution,[],[f536,f200]) ).
fof(f543,plain,
( ! [X0] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(X0,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)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l2_lattices(sK0) )
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f539,f199]) ).
fof(f545,plain,
( ! [X0] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(X0,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)))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl22_11
| ~ spl22_18 ),
inference(forward_subsumption_resolution,[],[f543,f358]) ).
fof(f548,definition,
( spl22_24
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_24])],[avatar_definition]) ).
fof(f549,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl22_24 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f550,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f552,definition,
( spl22_25
<=> m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl22_25])],[avatar_definition]) ).
fof(f553,plain,
( m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl22_25 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f554,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| spl22_25 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl22_26
<=> ! [X0] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ m2_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| ~ r1_lattice2(u1_struct_0(sK0),X0,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)) ) ),
introduced(definition,[new_symbols(definition,[spl22_26])],[avatar_definition]) ).
fof(f557,plain,
( ! [X0] :
( ~ r1_lattice2(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| r1_lattice2(sK1,k1_realset1(X0,sK1),sK2)
| ~ 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)) )
| ~ spl22_26 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( spl22_24
| ~ spl22_25
| spl22_26
| ~ spl22_11
| ~ spl22_18 ),
inference(avatar_split_clause,[],[f545,f477,f357,f556,f552,f548]) ).
fof(f572,plain,
( ~ m2_lattice4(sK1,sK0)
| spl22_25 ),
inference(resolution,[],[f554,f437]) ).
fof(f574,plain,
( $false
| spl22_25 ),
inference(forward_subsumption_resolution,[],[f572,f163]) ).
fof(f575,plain,
spl22_25,
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f576,plain,
( ! [X0] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(u1_struct_0(sK0),X0,u1_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_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(X0,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)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_lattices(sK0) )
| ~ spl22_20 ),
inference(resolution,[],[f537,f197]) ).
fof(f580,plain,
( ! [X0] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(u1_struct_0(sK0),X0,u1_lattices(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(X0,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)))
| v1_xboole_0(u1_struct_0(sK0))
| ~ l1_lattices(sK0) )
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f576,f196]) ).
fof(f582,plain,
( ! [X0] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ v1_funct_1(k1_realset1(X0,sK1))
| ~ v1_funct_2(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ m2_relset_1(k1_realset1(X0,sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ r1_lattice2(u1_struct_0(sK0),X0,u1_lattices(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m2_relset_1(X0,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)))
| v1_xboole_0(u1_struct_0(sK0)) )
| ~ spl22_13
| ~ spl22_20 ),
inference(forward_subsumption_resolution,[],[f580,f380]) ).
fof(f585,definition,
( spl22_29
<=> ! [X0] :
( r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ m2_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| ~ r1_lattice2(u1_struct_0(sK0),X0,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)) ) ),
introduced(definition,[new_symbols(definition,[spl22_29])],[avatar_definition]) ).
fof(f586,plain,
( ! [X0] :
( ~ r1_lattice2(u1_struct_0(sK0),X0,u1_lattices(sK0))
| ~ m2_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| r1_lattice2(sK1,k1_realset1(X0,sK1),sK3)
| ~ 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)) )
| ~ spl22_29 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f587,plain,
( spl22_24
| ~ spl22_25
| spl22_29
| ~ spl22_13
| ~ spl22_20 ),
inference(avatar_split_clause,[],[f582,f485,f379,f585,f552,f548]) ).
fof(f601,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl22_24 ),
inference(resolution,[],[f550,f211]) ).
fof(f606,plain,
( ~ l1_struct_0(sK0)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f601,f162]) ).
fof(f617,plain,
( ~ l1_lattices(sK0)
| ~ spl22_24 ),
inference(resolution,[],[f606,f190]) ).
fof(f618,plain,
( $false
| ~ spl22_13
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f617,f380]) ).
fof(f619,plain,
( ~ spl22_13
| ~ spl22_24 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f696,plain,
( ~ 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))
| 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)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_26 ),
inference(resolution,[],[f557,f264]) ).
fof(f697,plain,
( ~ 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))
| 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)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_20
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f696,f486]) ).
fof(f698,plain,
( ~ 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))
| 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)
| ~ l3_lattices(sK0)
| ~ spl22_20
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f697,f162]) ).
fof(f699,plain,
( ~ 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))
| 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)
| ~ spl22_20
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f698,f161]) ).
fof(f700,plain,
( ~ 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))
| 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))
| ~ spl22_20
| ~ spl22_26 ),
inference(forward_subsumption_resolution,[],[f699,f160]) ).
fof(f701,plain,
( r1_lattice2(sK1,sK3,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))
| ~ 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))
| ~ spl22_20
| ~ spl22_26 ),
inference(forward_demodulation,[],[f700,f171]) ).
fof(f710,definition,
( spl22_46
<=> v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_46])],[avatar_definition]) ).
fof(f711,plain,
( v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl22_46 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl22_46 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f714,definition,
( spl22_47
<=> m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_47])],[avatar_definition]) ).
fof(f716,plain,
( ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl22_47 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f718,plain,
( ~ l1_lattices(sK0)
| spl22_46 ),
inference(resolution,[],[f712,f197]) ).
fof(f719,plain,
( $false
| ~ spl22_13
| spl22_46 ),
inference(forward_subsumption_resolution,[],[f718,f380]) ).
fof(f720,plain,
( ~ spl22_13
| spl22_46 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f721,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_funct_1(u2_lattices(sK0))
| 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)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_29 ),
inference(resolution,[],[f586,f263]) ).
fof(f722,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))
| 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)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f721,f478]) ).
fof(f723,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))
| 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)
| ~ l3_lattices(sK0)
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f722,f162]) ).
fof(f724,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))
| 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)
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f723,f161]) ).
fof(f725,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))
| 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))
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f724,f160]) ).
fof(f726,plain,
( r1_lattice2(sK1,sK2,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))
| ~ 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))
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_demodulation,[],[f725,f172]) ).
fof(f727,plain,
( ~ m2_relset_1(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| r1_lattice2(sK1,sK2,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_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_demodulation,[],[f726,f172]) ).
fof(f728,plain,
( r1_lattice2(sK1,sK2,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_2(k1_realset1(u2_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u2_lattices(sK0),sK1))
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f727,f165]) ).
fof(f729,plain,
( ~ v1_funct_2(sK2,k2_zfmisc_1(sK1,sK1),sK1)
| r1_lattice2(sK1,sK2,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(k1_realset1(u2_lattices(sK0),sK1))
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_demodulation,[],[f728,f172]) ).
fof(f730,plain,
( r1_lattice2(sK1,sK2,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(k1_realset1(u2_lattices(sK0),sK1))
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f729,f166]) ).
fof(f731,plain,
( ~ v1_funct_1(sK2)
| r1_lattice2(sK1,sK2,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))
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_demodulation,[],[f730,f172]) ).
fof(f732,plain,
( r1_lattice2(sK1,sK2,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))
| ~ spl22_18
| ~ spl22_29 ),
inference(forward_subsumption_resolution,[],[f731,f167]) ).
fof(f734,definition,
( spl22_48
<=> 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_48])],[avatar_definition]) ).
fof(f736,plain,
( ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl22_48 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f738,definition,
( spl22_49
<=> 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_49])],[avatar_definition]) ).
fof(f740,plain,
( ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl22_49 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f741,plain,
( ~ spl22_48
| ~ spl22_49
| spl22_2
| ~ spl22_18
| ~ spl22_29 ),
inference(avatar_split_clause,[],[f732,f585,f477,f281,f738,f734]) ).
fof(f758,plain,
( ~ l1_lattices(sK0)
| spl22_47 ),
inference(resolution,[],[f716,f196]) ).
fof(f760,plain,
( $false
| ~ spl22_13
| spl22_47 ),
inference(forward_subsumption_resolution,[],[f758,f380]) ).
fof(f761,plain,
( ~ spl22_13
| spl22_47 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f762,plain,
( r1_lattice2(sK1,sK3,sK2)
| ~ m2_relset_1(u1_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))
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46 ),
inference(forward_subsumption_resolution,[],[f701,f711]) ).
fof(f763,plain,
( ~ m2_relset_1(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r1_lattice2(sK1,sK3,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(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46 ),
inference(forward_demodulation,[],[f762,f171]) ).
fof(f764,plain,
( r1_lattice2(sK1,sK3,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(k1_realset1(u1_lattices(sK0),sK1),k2_zfmisc_1(sK1,sK1),sK1)
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46 ),
inference(forward_subsumption_resolution,[],[f763,f168]) ).
fof(f765,plain,
( ~ v1_funct_2(sK3,k2_zfmisc_1(sK1,sK1),sK1)
| r1_lattice2(sK1,sK3,sK2)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46 ),
inference(forward_demodulation,[],[f764,f171]) ).
fof(f766,plain,
( r1_lattice2(sK1,sK3,sK2)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(k1_realset1(u1_lattices(sK0),sK1))
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46 ),
inference(forward_subsumption_resolution,[],[f765,f169]) ).
fof(f767,plain,
( ~ v1_funct_1(sK3)
| r1_lattice2(sK1,sK3,sK2)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46 ),
inference(forward_demodulation,[],[f766,f171]) ).
fof(f768,plain,
( r1_lattice2(sK1,sK3,sK2)
| ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46 ),
inference(forward_subsumption_resolution,[],[f767,f170]) ).
fof(f769,plain,
( ~ spl22_47
| spl22_1
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46 ),
inference(avatar_split_clause,[],[f768,f710,f556,f485,f277,f714]) ).
fof(f770,plain,
( ~ l2_lattices(sK0)
| spl22_48 ),
inference(resolution,[],[f736,f200]) ).
fof(f771,plain,
( $false
| ~ spl22_11
| spl22_48 ),
inference(forward_subsumption_resolution,[],[f770,f358]) ).
fof(f772,plain,
( ~ spl22_11
| spl22_48 ),
inference(avatar_contradiction_clause,[],[f771]) ).
fof(f774,plain,
( ~ l2_lattices(sK0)
| spl22_49 ),
inference(resolution,[],[f740,f199]) ).
fof(f776,plain,
( $false
| ~ spl22_11
| spl22_49 ),
inference(forward_subsumption_resolution,[],[f774,f358]) ).
fof(f777,plain,
( ~ spl22_11
| spl22_49 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f778,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(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))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_19 ),
inference(resolution,[],[f482,f214]) ).
fof(f779,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(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))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_19
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f778,f549]) ).
fof(f780,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))
| v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_19
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f779,f553]) ).
fof(f781,plain,
( ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_19
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f780,f199]) ).
fof(f782,plain,
( v3_struct_0(sK0)
| ~ v4_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_19
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f781,f200]) ).
fof(f783,plain,
( ~ v4_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_19
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f782,f162]) ).
fof(f784,plain,
( ~ l2_lattices(sK0)
| ~ spl22_12
| ~ spl22_19
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f783,f362]) ).
fof(f785,plain,
( $false
| ~ spl22_11
| ~ spl22_12
| ~ spl22_19
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f784,f358]) ).
fof(f786,plain,
( ~ spl22_11
| ~ spl22_12
| ~ spl22_19
| spl22_24
| ~ spl22_25 ),
inference(avatar_contradiction_clause,[],[f785]) ).
fof(f805,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(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))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_21 ),
inference(resolution,[],[f490,f226]) ).
fof(f806,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(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))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_21
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f805,f549]) ).
fof(f807,plain,
( ~ 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))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_21
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f806,f553]) ).
fof(f808,plain,
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_21
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f807,f196]) ).
fof(f809,plain,
( v3_struct_0(sK0)
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_21
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f808,f197]) ).
fof(f810,plain,
( ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_21
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f809,f162]) ).
fof(f811,plain,
( ~ l1_lattices(sK0)
| ~ spl22_14
| ~ spl22_21
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f810,f384]) ).
fof(f812,plain,
( $false
| ~ spl22_13
| ~ spl22_14
| ~ spl22_21
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f811,f380]) ).
fof(f813,plain,
( ~ spl22_13
| ~ spl22_14
| ~ spl22_21
| spl22_24
| ~ spl22_25 ),
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f815,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(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))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v5_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_22 ),
inference(resolution,[],[f514,f220]) ).
fof(f816,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(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))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v5_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_22
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f815,f549]) ).
fof(f817,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))
| v3_struct_0(sK0)
| ~ v5_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f816,f553]) ).
fof(f818,plain,
( ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v5_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f817,f199]) ).
fof(f819,plain,
( v3_struct_0(sK0)
| ~ v5_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f818,f200]) ).
fof(f820,plain,
( ~ v5_lattices(sK0)
| ~ l2_lattices(sK0)
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f819,f162]) ).
fof(f821,plain,
( ~ v5_lattices(sK0)
| ~ spl22_11
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f820,f358]) ).
fof(f822,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_11
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(resolution,[],[f821,f180]) ).
fof(f823,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl22_11
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f822,f162]) ).
fof(f824,plain,
( ~ l3_lattices(sK0)
| ~ spl22_11
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f823,f161]) ).
fof(f825,plain,
( $false
| ~ spl22_11
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f824,f160]) ).
fof(f826,plain,
( ~ spl22_11
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f827,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(sK1,k1_zfmisc_1(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))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v7_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_23 ),
inference(resolution,[],[f518,f231]) ).
fof(f828,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(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))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v7_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_23
| spl22_24 ),
inference(forward_subsumption_resolution,[],[f827,f549]) ).
fof(f829,plain,
( ~ 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))
| v3_struct_0(sK0)
| ~ v7_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_23
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f828,f553]) ).
fof(f830,plain,
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v7_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_23
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f829,f196]) ).
fof(f831,plain,
( v3_struct_0(sK0)
| ~ v7_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_23
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f830,f197]) ).
fof(f832,plain,
( ~ v7_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ spl22_23
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f831,f162]) ).
fof(f833,plain,
( ~ l1_lattices(sK0)
| ~ spl22_15
| ~ spl22_23
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f832,f394]) ).
fof(f834,plain,
( $false
| ~ spl22_13
| ~ spl22_15
| ~ spl22_23
| spl22_24
| ~ spl22_25 ),
inference(forward_subsumption_resolution,[],[f833,f380]) ).
fof(f835,plain,
( ~ spl22_13
| ~ spl22_15
| ~ spl22_23
| spl22_24
| ~ spl22_25 ),
inference(avatar_contradiction_clause,[],[f834]) ).
cnf(s1,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(sat_conversion,[],[f300]) ).
cnf(s5,plain,
spl22_11,
inference(sat_conversion,[],[f367]) ).
cnf(s6,plain,
spl22_12,
inference(sat_conversion,[],[f375]) ).
cnf(s8,plain,
spl22_13,
inference(sat_conversion,[],[f389]) ).
cnf(s10,plain,
spl22_14,
inference(sat_conversion,[],[f401]) ).
cnf(s11,plain,
spl22_15,
inference(sat_conversion,[],[f409]) ).
cnf(s13,plain,
( spl22_6
| ~ spl22_18
| spl22_19 ),
inference(sat_conversion,[],[f483]) ).
cnf(s14,plain,
( spl22_4
| ~ spl22_20
| spl22_21 ),
inference(sat_conversion,[],[f491]) ).
cnf(s15,plain,
( ~ spl22_11
| spl22_18 ),
inference(sat_conversion,[],[f495]) ).
cnf(s16,plain,
( ~ spl22_13
| spl22_20 ),
inference(sat_conversion,[],[f499]) ).
cnf(s17,plain,
( spl22_5
| ~ spl22_18
| spl22_22 ),
inference(sat_conversion,[],[f515]) ).
cnf(s18,plain,
( spl22_3
| ~ spl22_20
| spl22_23 ),
inference(sat_conversion,[],[f519]) ).
cnf(s19,plain,
( ~ spl22_11
| ~ spl22_18
| spl22_24
| ~ spl22_25
| spl22_26 ),
inference(sat_conversion,[],[f558]) ).
cnf(s21,plain,
spl22_25,
inference(sat_conversion,[],[f575]) ).
cnf(s22,plain,
( ~ spl22_13
| ~ spl22_20
| spl22_24
| ~ spl22_25
| spl22_29 ),
inference(sat_conversion,[],[f587]) ).
cnf(s24,plain,
( ~ spl22_13
| ~ spl22_24 ),
inference(sat_conversion,[],[f619]) ).
cnf(s29,plain,
( ~ spl22_13
| spl22_46 ),
inference(sat_conversion,[],[f720]) ).
cnf(s30,plain,
( spl22_2
| ~ spl22_18
| ~ spl22_29
| ~ spl22_48
| ~ spl22_49 ),
inference(sat_conversion,[],[f741]) ).
cnf(s32,plain,
( ~ spl22_13
| spl22_47 ),
inference(sat_conversion,[],[f761]) ).
cnf(s33,plain,
( spl22_1
| ~ spl22_20
| ~ spl22_26
| ~ spl22_46
| ~ spl22_47 ),
inference(sat_conversion,[],[f769]) ).
cnf(s34,plain,
( ~ spl22_11
| spl22_48 ),
inference(sat_conversion,[],[f772]) ).
cnf(s35,plain,
( ~ spl22_11
| spl22_49 ),
inference(sat_conversion,[],[f777]) ).
cnf(s36,plain,
( ~ spl22_11
| ~ spl22_12
| ~ spl22_19
| spl22_24
| ~ spl22_25 ),
inference(sat_conversion,[],[f786]) ).
cnf(s39,plain,
( ~ spl22_13
| ~ spl22_14
| ~ spl22_21
| spl22_24
| ~ spl22_25 ),
inference(sat_conversion,[],[f813]) ).
cnf(s40,plain,
( ~ spl22_11
| ~ spl22_22
| spl22_24
| ~ spl22_25 ),
inference(sat_conversion,[],[f826]) ).
cnf(s41,plain,
( ~ spl22_13
| ~ spl22_15
| ~ spl22_23
| spl22_24
| ~ spl22_25 ),
inference(sat_conversion,[],[f835]) ).
cnf(s42,plain,
( ~ spl22_11
| ~ spl22_18
| spl22_24
| spl22_26 ),
inference(rat,[],[s19,s21]) ).
cnf(s44,plain,
spl22_47,
inference(rat,[],[s32,s8]) ).
cnf(s45,plain,
spl22_46,
inference(rat,[],[s29,s8]) ).
cnf(s46,plain,
~ spl22_24,
inference(rat,[],[s24,s8]) ).
cnf(s47,plain,
spl22_20,
inference(rat,[],[s16,s8]) ).
cnf(s49,plain,
~ spl22_23,
inference(rat,[],[s41,s21,s8,s11,s46]) ).
cnf(s50,plain,
~ spl22_21,
inference(rat,[],[s39,s21,s8,s10,s46]) ).
cnf(s51,plain,
spl22_29,
inference(rat,[],[s22,s8,s21,s46,s47]) ).
cnf(s52,plain,
spl22_3,
inference(rat,[],[s18,s49,s47]) ).
cnf(s53,plain,
spl22_4,
inference(rat,[],[s14,s50,s47]) ).
cnf(s54,plain,
~ spl22_22,
inference(rat,[],[s40,s21,s46,s5]) ).
cnf(s55,plain,
~ spl22_19,
inference(rat,[],[s36,s21,s46,s6,s5]) ).
cnf(s56,plain,
spl22_49,
inference(rat,[],[s35,s5]) ).
cnf(s57,plain,
spl22_48,
inference(rat,[],[s34,s5]) ).
cnf(s58,plain,
spl22_18,
inference(rat,[],[s15,s5]) ).
cnf(s59,plain,
spl22_2,
inference(rat,[],[s30,s56,s57,s51,s58]) ).
cnf(s60,plain,
spl22_26,
inference(rat,[],[s42,s5,s46,s58]) ).
cnf(s61,plain,
spl22_5,
inference(rat,[],[s17,s54,s58]) ).
cnf(s62,plain,
spl22_6,
inference(rat,[],[s13,s55,s58]) ).
cnf(s63,plain,
spl22_1,
inference(rat,[],[s33,s44,s45,s47,s60]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s1,s62,s61,s53,s52,s59,s63]) ).
fof(f836,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:39:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.29 % (3151443)Detected formulas, will run a generic FOF schedule.
% 2.66/1.29 % (3151449)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2957999671:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.29 % (3151452)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2612180543:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.29 % (3151451)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2292985570:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.29 % (3151450)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1036099160:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.29 % (3151448)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3506883015:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.29 % (3151454)dis-21_1_sil=8000:lcm=predicate:random_seed=2210539386:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.66/1.29 % (3151453)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2983529625:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.29 % (3151451)Refutation not found, incomplete strategy
% 2.66/1.29 % (3151451)------------------------------
% 2.66/1.29 % (3151451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (3151451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (3151451)CaDiCaL version: 2.1.3
% 2.66/1.29 % (3151451)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.29 % (3151451)Time elapsed: 0.003 s
% 2.66/1.29 % (3151451)Peak memory usage: 88 MB
% 2.66/1.29 % (3151451)Instructions burned: 2 (million)
% 2.66/1.29 % (3151452)Refutation not found, incomplete strategy
% 2.66/1.29 % (3151452)------------------------------
% 2.66/1.29 % (3151452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (3151452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (3151452)CaDiCaL version: 2.1.3
% 2.66/1.29 % (3151452)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.29 % (3151452)Time elapsed: 0.007 s
% 2.66/1.29 % (3151452)Peak memory usage: 88 MB
% 2.66/1.29 % (3151452)Instructions burned: 9 (million)
% 2.66/1.29 % (3151453)First to succeed.
% 2.66/1.29 % (3151453)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3151443"
% 2.66/1.29 % (3151454)Instruction limit reached!
% 2.66/1.29 % (3151454)------------------------------
% 2.66/1.29 % (3151454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (3151454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (3151454)CaDiCaL version: 2.1.3
% 2.66/1.29 % (3151454)Termination reason: Instruction limit
% 2.66/1.29 % (3151454)Termination phase: Saturation
% 2.66/1.29 % (3151454)Time elapsed: 0.071 s
% 2.66/1.29 % (3151454)Peak memory usage: 90 MB
% 2.66/1.29 % (3151454)Instructions burned: 129 (million)
% 2.66/1.29 % (3151462)lrs+10_1_sil=8000:sp=occurrence:random_seed=3726149186:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.66/1.29 % (3151462)Also succeeded, but the first one will report.
% 2.66/1.29 % (3151451)------------------------------
% 2.66/1.29 % (3151451)------------------------------
% 2.66/1.29 % (3151452)------------------------------
% 2.66/1.29 % (3151452)------------------------------
% 2.66/1.29 % (3151453)Refutation found. Thanks to Tanya!
% 2.66/1.29 % SZS status Theorem for theBenchmark
% 2.66/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.38 % (3151453)------------------------------
% 3.44/1.38 % (3151453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.38 % (3151453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.38 % (3151453)CaDiCaL version: 2.1.3
% 3.44/1.38 % (3151453)Termination reason: Refutation
% 3.44/1.38 % (3151453)Time elapsed: 0.027 s
% 3.44/1.38 % (3151453)Peak memory usage: 90 MB
% 3.44/1.38 % (3151453)Instructions burned: 38 (million)
% 3.44/1.38 % (3151453)------------------------------
% 3.44/1.38 % (3151453)------------------------------
% 3.44/1.38 % (3151443)Success in time 0.423 s
% 3.44/1.38 % Vampire exiting
%------------------------------------------------------------------------------