%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT326+3 : 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 : n004.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 11:46:58 AM UTC 2026
% Result : Theorem 30.54s 11.85s
% Output : Refutation 71.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 40
% Syntax : Number of formulae : 401 ( 48 unt; 20 def)
% Number of atoms : 2403 ( 44 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 3374 (1372 ~;1681 |; 256 &)
% ( 19 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 20 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 362 ( 0 sgn 354 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6650,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(f6742,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f6760,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(f6761,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(f8588,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f8673,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9359,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(f9360,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(f9361,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(f9362,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(f9363,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9413,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(f9463,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f12317,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(f13575,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(f13579,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(f13655,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( v1_funct_1(k1_realset1(u2_lattices(X0),X1))
& v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(k1_realset1(u1_lattices(X0),X1))
& v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_filter_2) ).
fof(f13656,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(f13657,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)],[f13656]) ).
fof(f13833,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,[],[f13657]) ).
fof(f13834,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,[],[f13833]) ).
fof(f13967,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,[],[f13575]) ).
fof(f13968,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,[],[f13967]) ).
fof(f13973,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))
& v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f9359]) ).
fof(f13974,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))
& v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f13973]) ).
fof(f14009,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))
& v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f9362]) ).
fof(f14010,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))
& v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f14009]) ).
fof(f14011,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))
& v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v5_lattices(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f9360]) ).
fof(f14012,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))
& v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v5_lattices(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f14011]) ).
fof(f14029,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,[],[f13579]) ).
fof(f14030,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,[],[f14029]) ).
fof(f14037,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,[],[f9413]) ).
fof(f14038,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,[],[f14037]) ).
fof(f14043,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(k1_realset1(u2_lattices(X0),X1))
& v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(k1_realset1(u1_lattices(X0),X1))
& v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(k1_realset1(u1_lattices(X0),X1),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,[],[f13655]) ).
fof(f14044,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(k1_realset1(u2_lattices(X0),X1))
& v1_funct_2(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(k1_realset1(u2_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(k1_realset1(u1_lattices(X0),X1))
& v1_funct_2(k1_realset1(u1_lattices(X0),X1),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(k1_realset1(u1_lattices(X0),X1),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,[],[f14043]) ).
fof(f14057,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,[],[f12317]) ).
fof(f14058,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,[],[f14057]) ).
fof(f14116,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f14117,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14116]) ).
fof(f14119,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,[],[f6761]) ).
fof(f14138,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))
& v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f9361]) ).
fof(f14139,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))
& v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f14138]) ).
fof(f14140,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,[],[f6760]) ).
fof(f14569,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6742]) ).
fof(f14593,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9363]) ).
fof(f14594,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14593]) ).
fof(f14601,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,[],[f6650]) ).
fof(f14602,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,[],[f14601]) ).
fof(f15102,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8673]) ).
fof(f15103,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f15102]) ).
fof(f15104,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8588]) ).
fof(f15105,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f15104]) ).
fof(f15592,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f15605,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f15606,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f15605]) ).
fof(f20008,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP15(X0) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f20009,plain,
! [X0] :
( sP15(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f14594,f20008]) ).
fof(f20229,plain,
( ( ~ v1_binop_1(sK154,sK153)
| ~ v2_binop_1(sK154,sK153)
| ~ v1_binop_1(sK155,sK153)
| ~ v2_binop_1(sK155,sK153)
| ~ r1_lattice2(sK153,sK154,sK155)
| ~ r1_lattice2(sK153,sK155,sK154) )
& sK154 = k1_realset1(u2_lattices(sK152),sK153)
& sK155 = k1_realset1(u1_lattices(sK152),sK153)
& v1_funct_1(sK155)
& v1_funct_2(sK155,k2_zfmisc_1(sK153,sK153),sK153)
& m2_relset_1(sK155,k2_zfmisc_1(sK153,sK153),sK153)
& v1_funct_1(sK154)
& v1_funct_2(sK154,k2_zfmisc_1(sK153,sK153),sK153)
& m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153)
& ~ v1_xboole_0(sK153)
& m2_lattice4(sK153,sK152)
& ~ v3_struct_0(sK152)
& v10_lattices(sK152)
& l3_lattices(sK152) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK152,sK153,sK154,sK155]),skolemize(X0,sK152),skolemize(X1,sK153),skolemize(X2,sK154),skolemize(X3,sK155)],[f13834]) ).
fof(f20571,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f20008]) ).
fof(f22403,plain,
l3_lattices(sK152),
inference(cnf_transformation,[],[f20229]) ).
fof(f22404,plain,
v10_lattices(sK152),
inference(cnf_transformation,[],[f20229]) ).
fof(f22405,plain,
~ v3_struct_0(sK152),
inference(cnf_transformation,[],[f20229]) ).
fof(f22406,plain,
m2_lattice4(sK153,sK152),
inference(cnf_transformation,[],[f20229]) ).
fof(f22407,plain,
~ v1_xboole_0(sK153),
inference(cnf_transformation,[],[f20229]) ).
fof(f22408,plain,
m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153),
inference(cnf_transformation,[],[f20229]) ).
fof(f22409,plain,
v1_funct_2(sK154,k2_zfmisc_1(sK153,sK153),sK153),
inference(cnf_transformation,[],[f20229]) ).
fof(f22410,plain,
v1_funct_1(sK154),
inference(cnf_transformation,[],[f20229]) ).
fof(f22411,plain,
m2_relset_1(sK155,k2_zfmisc_1(sK153,sK153),sK153),
inference(cnf_transformation,[],[f20229]) ).
fof(f22412,plain,
v1_funct_2(sK155,k2_zfmisc_1(sK153,sK153),sK153),
inference(cnf_transformation,[],[f20229]) ).
fof(f22413,plain,
v1_funct_1(sK155),
inference(cnf_transformation,[],[f20229]) ).
fof(f22414,plain,
sK155 = k1_realset1(u1_lattices(sK152),sK153),
inference(cnf_transformation,[],[f20229]) ).
fof(f22415,plain,
sK154 = k1_realset1(u2_lattices(sK152),sK153),
inference(cnf_transformation,[],[f20229]) ).
fof(f22416,plain,
( ~ v1_binop_1(sK154,sK153)
| ~ v2_binop_1(sK154,sK153)
| ~ v1_binop_1(sK155,sK153)
| ~ v2_binop_1(sK155,sK153)
| ~ r1_lattice2(sK153,sK154,sK155)
| ~ r1_lattice2(sK153,sK155,sK154) ),
inference(cnf_transformation,[],[f20229]) ).
fof(f22621,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,[],[f13968]) ).
fof(f22623,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,[],[f13968]) ).
fof(f22628,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,[],[f13974]) ).
fof(f22676,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,[],[f14010]) ).
fof(f22681,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,[],[f14012]) ).
fof(f22725,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,[],[f14030]) ).
fof(f22731,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,[],[f14038]) ).
fof(f22737,plain,
! [X0,X1] :
( m2_relset_1(k1_realset1(u1_lattices(X0),X1),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(cnf_transformation,[],[f14044]) ).
fof(f22738,plain,
! [X0,X1] :
( v1_funct_2(k1_realset1(u1_lattices(X0),X1),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(cnf_transformation,[],[f14044]) ).
fof(f22739,plain,
! [X0,X1] :
( v1_funct_1(k1_realset1(u1_lattices(X0),X1))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14044]) ).
fof(f22740,plain,
! [X0,X1] :
( m2_relset_1(k1_realset1(u2_lattices(X0),X1),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(cnf_transformation,[],[f14044]) ).
fof(f22741,plain,
! [X0,X1] :
( v1_funct_2(k1_realset1(u2_lattices(X0),X1),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(cnf_transformation,[],[f14044]) ).
fof(f22742,plain,
! [X0,X1] :
( v1_funct_1(k1_realset1(u2_lattices(X0),X1))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14044]) ).
fof(f22766,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(cnf_transformation,[],[f14058]) ).
fof(f22833,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14117]) ).
fof(f22834,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = u1_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14117]) ).
fof(f22835,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14117]) ).
fof(f22837,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,[],[f14119]) ).
fof(f22838,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,[],[f14119]) ).
fof(f22839,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f14119]) ).
fof(f22851,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,[],[f14139]) ).
fof(f22855,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,[],[f14140]) ).
fof(f22856,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,[],[f14140]) ).
fof(f22857,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f14140]) ).
fof(f23551,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f14569]) ).
fof(f23552,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f14569]) ).
fof(f23619,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f20571]) ).
fof(f23628,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP15(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f20009]) ).
fof(f23714,plain,
! [X0] :
( v7_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14602]) ).
fof(f23715,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14602]) ).
fof(f23716,plain,
! [X0] :
( v5_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14602]) ).
fof(f23717,plain,
! [X0] :
( v4_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14602]) ).
fof(f24290,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_xboole_0(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15103]) ).
fof(f24291,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15105]) ).
fof(f25020,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15592]) ).
fof(f25038,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f15606]) ).
fof(f32680,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v1_binop_1(X2,X0)
| ~ v1_funct_1(k1_realset1(X2,X1))
| v1_binop_1(k1_realset1(X2,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,[],[f22623]) ).
fof(f32682,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(k1_realset1(X2,X1),k2_zfmisc_1(X1,X1),X1)
| ~ v2_binop_1(X2,X0)
| ~ v1_funct_1(k1_realset1(X2,X1))
| v2_binop_1(k1_realset1(X2,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,[],[f22621]) ).
fof(f32690,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,[],[f22725]) ).
fof(f32691,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,[],[f32690]) ).
fof(f34249,definition,
( spl1357_47
<=> r1_lattice2(sK153,sK155,sK154) ),
introduced(definition,[new_symbols(definition,[spl1357_47])],[avatar_definition]) ).
fof(f34253,definition,
( spl1357_48
<=> r1_lattice2(sK153,sK154,sK155) ),
introduced(definition,[new_symbols(definition,[spl1357_48])],[avatar_definition]) ).
fof(f34255,plain,
( ~ r1_lattice2(sK153,sK154,sK155)
| spl1357_48 ),
inference(avatar_component_clause,[],[f34253]) ).
fof(f34257,definition,
( spl1357_49
<=> v2_binop_1(sK155,sK153) ),
introduced(definition,[new_symbols(definition,[spl1357_49])],[avatar_definition]) ).
fof(f34259,plain,
( ~ v2_binop_1(sK155,sK153)
| spl1357_49 ),
inference(avatar_component_clause,[],[f34257]) ).
fof(f34261,definition,
( spl1357_50
<=> v1_binop_1(sK155,sK153) ),
introduced(definition,[new_symbols(definition,[spl1357_50])],[avatar_definition]) ).
fof(f34263,plain,
( ~ v1_binop_1(sK155,sK153)
| spl1357_50 ),
inference(avatar_component_clause,[],[f34261]) ).
fof(f34265,definition,
( spl1357_51
<=> v2_binop_1(sK154,sK153) ),
introduced(definition,[new_symbols(definition,[spl1357_51])],[avatar_definition]) ).
fof(f34267,plain,
( ~ v2_binop_1(sK154,sK153)
| spl1357_51 ),
inference(avatar_component_clause,[],[f34265]) ).
fof(f34269,definition,
( spl1357_52
<=> v1_binop_1(sK154,sK153) ),
introduced(definition,[new_symbols(definition,[spl1357_52])],[avatar_definition]) ).
fof(f34271,plain,
( ~ v1_binop_1(sK154,sK153)
| spl1357_52 ),
inference(avatar_component_clause,[],[f34269]) ).
fof(f34272,plain,
( ~ spl1357_47
| ~ spl1357_48
| ~ spl1357_49
| ~ spl1357_50
| ~ spl1357_51
| ~ spl1357_52 ),
inference(avatar_split_clause,[],[f22416,f34269,f34265,f34261,f34257,f34253,f34249]) ).
fof(f34548,plain,
! [X0,X1] :
( ~ v1_funct_2(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ r1_lattice2(X0,X1,u2_lattices(sK152))
| ~ v1_funct_1(sK154)
| r1_lattice2(sK153,k1_realset1(X1,sK153),sK154)
| ~ m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(k1_realset1(X1,sK153))
| ~ v1_funct_2(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ m2_relset_1(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),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(sK153)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(superposition,[],[f32691,f22415]) ).
fof(f34549,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK152))
| ~ v1_funct_1(sK154)
| r1_lattice2(sK153,k1_realset1(X1,sK153),sK154)
| ~ m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(k1_realset1(X1,sK153))
| ~ v1_funct_2(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ m2_relset_1(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),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(sK153)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f34548,f22409]) ).
fof(f34551,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK152))
| r1_lattice2(sK153,k1_realset1(X1,sK153),sK154)
| ~ m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(k1_realset1(X1,sK153))
| ~ v1_funct_2(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ m2_relset_1(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),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(sK153)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f34549,f22410]) ).
fof(f34553,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK152))
| r1_lattice2(sK153,k1_realset1(X1,sK153),sK154)
| ~ v1_funct_1(k1_realset1(X1,sK153))
| ~ v1_funct_2(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ m2_relset_1(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),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(sK153)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f34551,f22408]) ).
fof(f34555,plain,
! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK152))
| r1_lattice2(sK153,k1_realset1(X1,sK153),sK154)
| ~ v1_funct_1(k1_realset1(X1,sK153))
| ~ v1_funct_2(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ m2_relset_1(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),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(sK153,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f34553,f22407]) ).
fof(f34558,definition,
( spl1357_56
<=> v1_funct_1(u2_lattices(sK152)) ),
introduced(definition,[new_symbols(definition,[spl1357_56])],[avatar_definition]) ).
fof(f34559,plain,
( v1_funct_1(u2_lattices(sK152))
| ~ spl1357_56 ),
inference(avatar_component_clause,[],[f34558]) ).
fof(f34560,plain,
( ~ v1_funct_1(u2_lattices(sK152))
| spl1357_56 ),
inference(avatar_component_clause,[],[f34558]) ).
fof(f34562,definition,
( spl1357_57
<=> ! [X0,X1] :
( ~ r1_lattice2(X0,X1,u2_lattices(sK152))
| v1_xboole_0(X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_2(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(k1_realset1(X1,sK153))
| r1_lattice2(sK153,k1_realset1(X1,sK153),sK154) ) ),
introduced(definition,[new_symbols(definition,[spl1357_57])],[avatar_definition]) ).
fof(f34563,plain,
( ! [X0,X1] :
( ~ v1_funct_2(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(X1,sK153),k2_zfmisc_1(sK153,sK153),sK153)
| ~ r1_lattice2(X0,X1,u2_lattices(sK152))
| ~ v1_funct_1(k1_realset1(X1,sK153))
| r1_lattice2(sK153,k1_realset1(X1,sK153),sK154) )
| ~ spl1357_57 ),
inference(avatar_component_clause,[],[f34562]) ).
fof(f34564,plain,
( ~ spl1357_56
| spl1357_57 ),
inference(avatar_split_clause,[],[f34555,f34562,f34558]) ).
fof(f34581,definition,
( spl1357_59
<=> v1_funct_1(u1_lattices(sK152)) ),
introduced(definition,[new_symbols(definition,[spl1357_59])],[avatar_definition]) ).
fof(f34582,plain,
( v1_funct_1(u1_lattices(sK152))
| ~ spl1357_59 ),
inference(avatar_component_clause,[],[f34581]) ).
fof(f34583,plain,
( ~ v1_funct_1(u1_lattices(sK152))
| spl1357_59 ),
inference(avatar_component_clause,[],[f34581]) ).
fof(f34601,plain,
( v3_struct_0(sK152)
| u1_lattices(sK152) = u2_lattices(k1_lattice2(sK152)) ),
inference(resolution,[],[f22833,f22403]) ).
fof(f34602,plain,
u1_lattices(sK152) = u2_lattices(k1_lattice2(sK152)),
inference(forward_subsumption_resolution,[],[f34601,f22405]) ).
fof(f34604,plain,
( v3_struct_0(sK152)
| u2_lattices(sK152) = u1_lattices(k1_lattice2(sK152)) ),
inference(resolution,[],[f22834,f22403]) ).
fof(f34605,plain,
u2_lattices(sK152) = u1_lattices(k1_lattice2(sK152)),
inference(forward_subsumption_resolution,[],[f34604,f22405]) ).
fof(f34606,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v2_binop_1(u2_lattices(X1),X2)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| v2_binop_1(k1_realset1(u2_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(X1))
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(resolution,[],[f22741,f32682]) ).
fof(f34607,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_binop_1(u2_lattices(X1),X2)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| v1_binop_1(k1_realset1(u2_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(X1))
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(resolution,[],[f22741,f32680]) ).
fof(f34617,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_binop_1(u2_lattices(X1),X2)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| v1_binop_1(k1_realset1(u2_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(X1))
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(duplicate_literal_removal,[],[f34607]) ).
fof(f34618,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v2_binop_1(u2_lattices(X1),X2)
| ~ v1_funct_1(k1_realset1(u2_lattices(X1),X0))
| v2_binop_1(k1_realset1(u2_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(X1))
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(duplicate_literal_removal,[],[f34606]) ).
fof(f34623,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_binop_1(u2_lattices(X1),X2)
| v1_binop_1(k1_realset1(u2_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(X1))
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34617,f22742]) ).
fof(f34624,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v2_binop_1(u2_lattices(X1),X2)
| v2_binop_1(k1_realset1(u2_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u2_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u2_lattices(X1))
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34618,f22742]) ).
fof(f34629,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_binop_1(u2_lattices(X1),X2)
| v1_binop_1(k1_realset1(u2_lattices(X1),X0),X0)
| ~ v1_funct_1(u2_lattices(X1))
| v1_xboole_0(X0)
| ~ m2_relset_1(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34623,f22740]) ).
fof(f34630,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v2_binop_1(u2_lattices(X1),X2)
| v2_binop_1(k1_realset1(u2_lattices(X1),X0),X0)
| ~ v1_funct_1(u2_lattices(X1))
| v1_xboole_0(X0)
| ~ m2_relset_1(u2_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34624,f22740]) ).
fof(f34631,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v2_binop_1(u1_lattices(X1),X2)
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| v2_binop_1(k1_realset1(u1_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(resolution,[],[f22738,f32682]) ).
fof(f34632,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_binop_1(u1_lattices(X1),X2)
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| v1_binop_1(k1_realset1(u1_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(resolution,[],[f22738,f32680]) ).
fof(f34636,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_lattice2(X2,X3,u1_lattices(X1))
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| r1_lattice2(X0,k1_realset1(X3,X0),k1_realset1(u1_lattices(X1),X0))
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X3,X0))
| ~ v1_funct_2(k1_realset1(X3,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(X3,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(resolution,[],[f22738,f32691]) ).
fof(f34638,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_lattice2(X2,X3,u1_lattices(X1))
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| r1_lattice2(X0,k1_realset1(X3,X0),k1_realset1(u1_lattices(X1),X0))
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X3,X0))
| ~ v1_funct_2(k1_realset1(X3,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(X3,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(duplicate_literal_removal,[],[f34636]) ).
fof(f34642,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_binop_1(u1_lattices(X1),X2)
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| v1_binop_1(k1_realset1(u1_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(duplicate_literal_removal,[],[f34632]) ).
fof(f34643,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v2_binop_1(u1_lattices(X1),X2)
| ~ v1_funct_1(k1_realset1(u1_lattices(X1),X0))
| v2_binop_1(k1_realset1(u1_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(duplicate_literal_removal,[],[f34631]) ).
fof(f34644,plain,
! [X2,X3,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_lattice2(X2,X3,u1_lattices(X1))
| r1_lattice2(X0,k1_realset1(X3,X0),k1_realset1(u1_lattices(X1),X0))
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(k1_realset1(X3,X0))
| ~ v1_funct_2(k1_realset1(X3,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(k1_realset1(X3,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34638,f22739]) ).
fof(f34648,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_binop_1(u1_lattices(X1),X2)
| v1_binop_1(k1_realset1(u1_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34642,f22739]) ).
fof(f34649,plain,
! [X2,X0,X1] :
( v1_xboole_0(X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v2_binop_1(u1_lattices(X1),X2)
| v2_binop_1(k1_realset1(u1_lattices(X1),X0),X0)
| ~ m2_relset_1(k1_realset1(u1_lattices(X1),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34643,f22739]) ).
fof(f34650,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(k1_realset1(X3,X0),k2_zfmisc_1(X0,X0),X0)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ r1_lattice2(X2,X3,u1_lattices(X1))
| r1_lattice2(X0,k1_realset1(X3,X0),k1_realset1(u1_lattices(X1),X0))
| ~ v1_funct_1(k1_realset1(X3,X0))
| v1_xboole_0(X0)
| ~ m2_relset_1(k1_realset1(X3,X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34644,f22737]) ).
fof(f34654,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_binop_1(u1_lattices(X1),X2)
| v1_binop_1(k1_realset1(u1_lattices(X1),X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| v1_xboole_0(X0)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34648,f22737]) ).
fof(f34655,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m2_lattice4(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v2_binop_1(u1_lattices(X1),X2)
| v2_binop_1(k1_realset1(u1_lattices(X1),X0),X0)
| ~ v1_funct_1(u1_lattices(X1))
| v1_xboole_0(X0)
| ~ m2_relset_1(u1_lattices(X1),k2_zfmisc_1(X2,X2),X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| v1_xboole_0(X2) ),
inference(forward_subsumption_resolution,[],[f34649,f22737]) ).
fof(f34660,definition,
( spl1357_62
<=> l3_lattices(k1_lattice2(sK152)) ),
introduced(definition,[new_symbols(definition,[spl1357_62])],[avatar_definition]) ).
fof(f34661,plain,
( l3_lattices(k1_lattice2(sK152))
| ~ spl1357_62 ),
inference(avatar_component_clause,[],[f34660]) ).
fof(f34662,plain,
( ~ l3_lattices(k1_lattice2(sK152))
| spl1357_62 ),
inference(avatar_component_clause,[],[f34660]) ).
fof(f34664,definition,
( spl1357_63
<=> v10_lattices(k1_lattice2(sK152)) ),
introduced(definition,[new_symbols(definition,[spl1357_63])],[avatar_definition]) ).
fof(f34665,plain,
( v10_lattices(k1_lattice2(sK152))
| ~ spl1357_63 ),
inference(avatar_component_clause,[],[f34664]) ).
fof(f34666,plain,
( ~ v10_lattices(k1_lattice2(sK152))
| spl1357_63 ),
inference(avatar_component_clause,[],[f34664]) ).
fof(f34668,definition,
( spl1357_64
<=> v3_struct_0(k1_lattice2(sK152)) ),
introduced(definition,[new_symbols(definition,[spl1357_64])],[avatar_definition]) ).
fof(f34669,plain,
( ~ v3_struct_0(k1_lattice2(sK152))
| spl1357_64 ),
inference(avatar_component_clause,[],[f34668]) ).
fof(f34670,plain,
( v3_struct_0(k1_lattice2(sK152))
| ~ spl1357_64 ),
inference(avatar_component_clause,[],[f34668]) ).
fof(f34686,plain,
( r1_lattice2(u1_struct_0(k1_lattice2(sK152)),u2_lattices(k1_lattice2(sK152)),u2_lattices(sK152))
| v3_struct_0(k1_lattice2(sK152))
| ~ v10_lattices(k1_lattice2(sK152))
| ~ l3_lattices(k1_lattice2(sK152)) ),
inference(superposition,[],[f22731,f34605]) ).
fof(f34698,plain,
( ~ l3_lattices(sK152)
| spl1357_62 ),
inference(resolution,[],[f25020,f34662]) ).
fof(f34701,plain,
( $false
| spl1357_62 ),
inference(forward_subsumption_resolution,[],[f34698,f22403]) ).
fof(f34702,plain,
spl1357_62,
inference(avatar_contradiction_clause,[],[f34701]) ).
fof(f34717,plain,
( v3_struct_0(sK152)
| ~ l3_lattices(sK152)
| ~ spl1357_64 ),
inference(resolution,[],[f34670,f25038]) ).
fof(f34718,plain,
( ~ l3_lattices(sK152)
| ~ spl1357_64 ),
inference(forward_subsumption_resolution,[],[f34717,f22405]) ).
fof(f34719,plain,
( $false
| ~ spl1357_64 ),
inference(forward_subsumption_resolution,[],[f34718,f22403]) ).
fof(f34720,plain,
~ spl1357_64,
inference(avatar_contradiction_clause,[],[f34719]) ).
fof(f34848,plain,
( m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK152)),u1_struct_0(k1_lattice2(sK152))),u1_struct_0(k1_lattice2(sK152)))
| ~ l2_lattices(k1_lattice2(sK152)) ),
inference(superposition,[],[f22837,f34602]) ).
fof(f34850,definition,
( spl1357_78
<=> l2_lattices(k1_lattice2(sK152)) ),
introduced(definition,[new_symbols(definition,[spl1357_78])],[avatar_definition]) ).
fof(f34851,plain,
( l2_lattices(k1_lattice2(sK152))
| ~ spl1357_78 ),
inference(avatar_component_clause,[],[f34850]) ).
fof(f34852,plain,
( ~ l2_lattices(k1_lattice2(sK152))
| spl1357_78 ),
inference(avatar_component_clause,[],[f34850]) ).
fof(f34854,definition,
( spl1357_79
<=> m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK152)),u1_struct_0(k1_lattice2(sK152))),u1_struct_0(k1_lattice2(sK152))) ),
introduced(definition,[new_symbols(definition,[spl1357_79])],[avatar_definition]) ).
fof(f34856,plain,
( m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK152)),u1_struct_0(k1_lattice2(sK152))),u1_struct_0(k1_lattice2(sK152)))
| ~ spl1357_79 ),
inference(avatar_component_clause,[],[f34854]) ).
fof(f34857,plain,
( ~ spl1357_78
| spl1357_79 ),
inference(avatar_split_clause,[],[f34848,f34854,f34850]) ).
fof(f34861,plain,
( m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK152)),u1_struct_0(k1_lattice2(sK152))),u1_struct_0(k1_lattice2(sK152)))
| ~ l1_lattices(k1_lattice2(sK152)) ),
inference(superposition,[],[f22855,f34605]) ).
fof(f34863,definition,
( spl1357_80
<=> l1_lattices(k1_lattice2(sK152)) ),
introduced(definition,[new_symbols(definition,[spl1357_80])],[avatar_definition]) ).
fof(f34864,plain,
( l1_lattices(k1_lattice2(sK152))
| ~ spl1357_80 ),
inference(avatar_component_clause,[],[f34863]) ).
fof(f34865,plain,
( ~ l1_lattices(k1_lattice2(sK152))
| spl1357_80 ),
inference(avatar_component_clause,[],[f34863]) ).
fof(f34867,definition,
( spl1357_81
<=> m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK152)),u1_struct_0(k1_lattice2(sK152))),u1_struct_0(k1_lattice2(sK152))) ),
introduced(definition,[new_symbols(definition,[spl1357_81])],[avatar_definition]) ).
fof(f34869,plain,
( m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK152)),u1_struct_0(k1_lattice2(sK152))),u1_struct_0(k1_lattice2(sK152)))
| ~ spl1357_81 ),
inference(avatar_component_clause,[],[f34867]) ).
fof(f34870,plain,
( ~ spl1357_80
| spl1357_81 ),
inference(avatar_split_clause,[],[f34861,f34867,f34863]) ).
fof(f34873,plain,
! [X0,X1] :
( ~ v1_funct_2(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ m2_lattice4(sK153,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ r1_lattice2(X1,u2_lattices(sK152),u1_lattices(X0))
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(X0),sK153))
| ~ v1_funct_1(sK154)
| v1_xboole_0(sK153)
| ~ m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u1_lattices(X0))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(superposition,[],[f34650,f22415]) ).
fof(f34924,plain,
( ~ l1_lattices(sK152)
| spl1357_59 ),
inference(resolution,[],[f22857,f34583]) ).
fof(f34925,plain,
( v1_funct_1(u2_lattices(sK152))
| ~ l1_lattices(k1_lattice2(sK152)) ),
inference(superposition,[],[f22857,f34605]) ).
fof(f34942,plain,
( v3_struct_0(sK152)
| u1_struct_0(k1_lattice2(sK152)) = u1_struct_0(sK152) ),
inference(resolution,[],[f22835,f22403]) ).
fof(f34946,plain,
u1_struct_0(k1_lattice2(sK152)) = u1_struct_0(sK152),
inference(forward_subsumption_resolution,[],[f34942,f22405]) ).
fof(f34971,plain,
( v3_struct_0(sK152)
| sP15(sK152)
| ~ l3_lattices(sK152) ),
inference(resolution,[],[f23628,f22404]) ).
fof(f34974,plain,
( sP15(sK152)
| ~ l3_lattices(sK152) ),
inference(forward_subsumption_resolution,[],[f34971,f22405]) ).
fof(f34975,plain,
sP15(sK152),
inference(forward_subsumption_resolution,[],[f34974,f22403]) ).
fof(f35048,plain,
( ~ sP15(sK152)
| spl1357_63 ),
inference(resolution,[],[f23619,f34666]) ).
fof(f35051,plain,
( $false
| spl1357_63 ),
inference(forward_subsumption_resolution,[],[f35048,f34975]) ).
fof(f35052,plain,
spl1357_63,
inference(avatar_contradiction_clause,[],[f35051]) ).
fof(f35054,plain,
( r1_lattice2(u1_struct_0(k1_lattice2(sK152)),u2_lattices(k1_lattice2(sK152)),u2_lattices(sK152))
| ~ v10_lattices(k1_lattice2(sK152))
| ~ l3_lattices(k1_lattice2(sK152))
| spl1357_64 ),
inference(forward_subsumption_resolution,[],[f34686,f34669]) ).
fof(f35079,plain,
( r1_lattice2(u1_struct_0(k1_lattice2(sK152)),u2_lattices(k1_lattice2(sK152)),u2_lattices(sK152))
| ~ l3_lattices(k1_lattice2(sK152))
| ~ spl1357_63
| spl1357_64 ),
inference(forward_subsumption_resolution,[],[f35054,f34665]) ).
fof(f35104,plain,
( r1_lattice2(u1_struct_0(k1_lattice2(sK152)),u2_lattices(k1_lattice2(sK152)),u2_lattices(sK152))
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64 ),
inference(forward_subsumption_resolution,[],[f35079,f34661]) ).
fof(f35129,plain,
( r1_lattice2(u1_struct_0(k1_lattice2(sK152)),u1_lattices(sK152),u2_lattices(sK152))
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64 ),
inference(forward_demodulation,[],[f35104,f34602]) ).
fof(f35149,plain,
( r1_lattice2(u1_struct_0(sK152),u1_lattices(sK152),u2_lattices(sK152))
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64 ),
inference(forward_demodulation,[],[f35129,f34946]) ).
fof(f35174,plain,
! [X0,X1] :
( ~ l2_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f22838,f34630]) ).
fof(f35175,plain,
! [X0,X1] :
( ~ l2_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f22838,f34629]) ).
fof(f35180,plain,
( v1_funct_2(u2_lattices(k1_lattice2(sK152)),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ l2_lattices(k1_lattice2(sK152)) ),
inference(superposition,[],[f22838,f34946]) ).
fof(f35184,plain,
! [X0,X1] :
( ~ l2_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f35175,f22766]) ).
fof(f35185,plain,
! [X0,X1] :
( ~ l2_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f35174,f22766]) ).
fof(f35190,plain,
! [X0,X1] :
( ~ m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f35184,f23551]) ).
fof(f35191,plain,
! [X0,X1] :
( ~ m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f35185,f23551]) ).
fof(f35223,plain,
l1_lattices(sK152),
inference(resolution,[],[f23552,f22403]) ).
fof(f35225,plain,
( l1_lattices(k1_lattice2(sK152))
| ~ spl1357_62 ),
inference(resolution,[],[f23552,f34661]) ).
fof(f35226,plain,
( $false
| ~ spl1357_62
| spl1357_80 ),
inference(forward_subsumption_resolution,[],[f35225,f34865]) ).
fof(f35227,plain,
( ~ spl1357_62
| spl1357_80 ),
inference(avatar_contradiction_clause,[],[f35226]) ).
fof(f35228,plain,
( $false
| spl1357_59 ),
inference(forward_subsumption_resolution,[],[f35223,f34924]) ).
fof(f35229,plain,
spl1357_59,
inference(avatar_contradiction_clause,[],[f35228]) ).
fof(f35230,plain,
( m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_81 ),
inference(forward_demodulation,[],[f34869,f34946]) ).
fof(f35231,plain,
( ~ l1_lattices(k1_lattice2(sK152))
| spl1357_56 ),
inference(forward_subsumption_resolution,[],[f34925,f34560]) ).
fof(f35249,plain,
( $false
| spl1357_56
| ~ spl1357_80 ),
inference(forward_subsumption_resolution,[],[f35231,f34864]) ).
fof(f35250,plain,
( spl1357_56
| ~ spl1357_80 ),
inference(avatar_contradiction_clause,[],[f35249]) ).
fof(f35342,plain,
! [X0,X1] :
( ~ m2_lattice4(sK153,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ r1_lattice2(X1,u2_lattices(sK152),u1_lattices(X0))
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(X0),sK153))
| ~ v1_funct_1(sK154)
| v1_xboole_0(sK153)
| ~ m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u1_lattices(X0))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f34873,f22409]) ).
fof(f35354,plain,
! [X0,X1] :
( ~ m2_lattice4(sK153,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ r1_lattice2(X1,u2_lattices(sK152),u1_lattices(X0))
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(X0),sK153))
| v1_xboole_0(sK153)
| ~ m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u1_lattices(X0))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35342,f22410]) ).
fof(f35366,plain,
! [X0,X1] :
( ~ m2_lattice4(sK153,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ r1_lattice2(X1,u2_lattices(sK152),u1_lattices(X0))
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(X0),sK153))
| ~ m2_relset_1(sK154,k2_zfmisc_1(sK153,sK153),sK153)
| ~ v1_funct_1(u1_lattices(X0))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35354,f22407]) ).
fof(f35378,plain,
! [X0,X1] :
( ~ m2_lattice4(sK153,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ r1_lattice2(X1,u2_lattices(sK152),u1_lattices(X0))
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(X0),sK153))
| ~ v1_funct_1(u1_lattices(X0))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(forward_subsumption_resolution,[],[f35366,f22408]) ).
fof(f35390,plain,
( ! [X0,X1] :
( ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ r1_lattice2(X1,u2_lattices(sK152),u1_lattices(X0))
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(X0),sK153))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m2_lattice4(sK153,X0)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X1,X1),X1)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl1357_56 ),
inference(forward_subsumption_resolution,[],[f35378,f34559]) ).
fof(f35445,plain,
( ! [X0] :
( ~ v1_funct_2(sK155,k2_zfmisc_1(sK153,sK153),sK153)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK155,k2_zfmisc_1(sK153,sK153),sK153)
| ~ r1_lattice2(X0,u1_lattices(sK152),u2_lattices(sK152))
| ~ v1_funct_1(sK155)
| r1_lattice2(sK153,sK155,sK154) )
| ~ spl1357_57 ),
inference(superposition,[],[f34563,f22414]) ).
fof(f35447,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK155,k2_zfmisc_1(sK153,sK153),sK153)
| ~ r1_lattice2(X0,u1_lattices(sK152),u2_lattices(sK152))
| ~ v1_funct_1(sK155)
| r1_lattice2(sK153,sK155,sK154) )
| ~ spl1357_57 ),
inference(forward_subsumption_resolution,[],[f35445,f22412]) ).
fof(f35451,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(sK155,k2_zfmisc_1(sK153,sK153),sK153)
| ~ r1_lattice2(X0,u1_lattices(sK152),u2_lattices(sK152))
| ~ v1_funct_1(sK155)
| r1_lattice2(sK153,sK155,sK154) )
| ~ spl1357_57
| ~ spl1357_59 ),
inference(forward_subsumption_resolution,[],[f35447,f34582]) ).
fof(f35455,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ r1_lattice2(X0,u1_lattices(sK152),u2_lattices(sK152))
| ~ v1_funct_1(sK155)
| r1_lattice2(sK153,sK155,sK154) )
| ~ spl1357_57
| ~ spl1357_59 ),
inference(forward_subsumption_resolution,[],[f35451,f22411]) ).
fof(f35459,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ r1_lattice2(X0,u1_lattices(sK152),u2_lattices(sK152))
| r1_lattice2(sK153,sK155,sK154) )
| ~ spl1357_57
| ~ spl1357_59 ),
inference(forward_subsumption_resolution,[],[f35455,f22413]) ).
fof(f35462,definition,
( spl1357_102
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r1_lattice2(X0,u1_lattices(sK152),u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1357_102])],[avatar_definition]) ).
fof(f35463,plain,
( ! [X0] :
( ~ v1_funct_2(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ r1_lattice2(X0,u1_lattices(sK152),u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(X0,X0),X0)
| ~ m1_subset_1(sK153,k1_zfmisc_1(X0)) )
| ~ spl1357_102 ),
inference(avatar_component_clause,[],[f35462]) ).
fof(f35464,plain,
( spl1357_47
| spl1357_102
| ~ spl1357_57
| ~ spl1357_59 ),
inference(avatar_split_clause,[],[f35459,f34581,f34562,f35462,f34249]) ).
fof(f35526,definition,
( spl1357_107
<=> v1_xboole_0(u1_struct_0(sK152)) ),
introduced(definition,[new_symbols(definition,[spl1357_107])],[avatar_definition]) ).
fof(f35527,plain,
( ~ v1_xboole_0(u1_struct_0(sK152))
| spl1357_107 ),
inference(avatar_component_clause,[],[f35526]) ).
fof(f35528,plain,
( v1_xboole_0(u1_struct_0(sK152))
| ~ spl1357_107 ),
inference(avatar_component_clause,[],[f35526]) ).
fof(f35530,definition,
( spl1357_108
<=> m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152))) ),
introduced(definition,[new_symbols(definition,[spl1357_108])],[avatar_definition]) ).
fof(f35531,plain,
( m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| ~ spl1357_108 ),
inference(avatar_component_clause,[],[f35530]) ).
fof(f35532,plain,
( ~ m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| spl1357_108 ),
inference(avatar_component_clause,[],[f35530]) ).
fof(f35711,plain,
( l2_lattices(k1_lattice2(sK152))
| ~ spl1357_62 ),
inference(resolution,[],[f23551,f34661]) ).
fof(f35712,plain,
( $false
| ~ spl1357_62
| spl1357_78 ),
inference(forward_subsumption_resolution,[],[f35711,f34852]) ).
fof(f35713,plain,
( ~ spl1357_62
| spl1357_78 ),
inference(avatar_contradiction_clause,[],[f35712]) ).
fof(f35716,plain,
( m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_79 ),
inference(forward_demodulation,[],[f34856,f34946]) ).
fof(f35727,plain,
( v1_funct_2(u2_lattices(k1_lattice2(sK152)),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f35180,f34851]) ).
fof(f35739,plain,
( v1_funct_2(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_78 ),
inference(forward_demodulation,[],[f35727,f34602]) ).
fof(f35788,plain,
( ~ m2_lattice4(sK153,sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| ~ l3_lattices(sK152)
| spl1357_108 ),
inference(resolution,[],[f35532,f22766]) ).
fof(f35789,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| ~ l3_lattices(sK152)
| spl1357_108 ),
inference(forward_subsumption_resolution,[],[f35788,f22406]) ).
fof(f35791,plain,
( ~ v10_lattices(sK152)
| ~ l3_lattices(sK152)
| spl1357_108 ),
inference(forward_subsumption_resolution,[],[f35789,f22405]) ).
fof(f35793,plain,
( ~ l3_lattices(sK152)
| spl1357_108 ),
inference(forward_subsumption_resolution,[],[f35791,f22404]) ).
fof(f35795,plain,
( $false
| spl1357_108 ),
inference(forward_subsumption_resolution,[],[f35793,f22403]) ).
fof(f35796,plain,
spl1357_108,
inference(avatar_contradiction_clause,[],[f35795]) ).
fof(f35798,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| ~ l3_lattices(sK152)
| ~ r1_lattice2(u1_struct_0(sK152),u2_lattices(sK152),u1_lattices(sK152))
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_lattice4(sK153,sK152)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| v1_xboole_0(u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_78 ),
inference(resolution,[],[f35739,f35390]) ).
fof(f35826,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| ~ l3_lattices(sK152)
| ~ r1_lattice2(u1_struct_0(sK152),u2_lattices(sK152),u1_lattices(sK152))
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_lattice4(sK153,sK152)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| v1_xboole_0(u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f35798,f22766]) ).
fof(f35830,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| ~ l3_lattices(sK152)
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_lattice4(sK153,sK152)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| v1_xboole_0(u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f35826,f22731]) ).
fof(f35845,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f22856,f34655]) ).
fof(f35846,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f22856,f34654]) ).
fof(f35867,plain,
( v1_funct_2(u1_lattices(k1_lattice2(sK152)),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ l1_lattices(k1_lattice2(sK152)) ),
inference(superposition,[],[f22856,f34946]) ).
fof(f35868,plain,
( v1_funct_2(u1_lattices(k1_lattice2(sK152)),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_80 ),
inference(forward_subsumption_resolution,[],[f35867,f34864]) ).
fof(f35876,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f35846,f22766]) ).
fof(f35877,plain,
! [X0,X1] :
( ~ l1_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f35845,f22766]) ).
fof(f35881,plain,
( v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_80 ),
inference(forward_demodulation,[],[f35868,f34605]) ).
fof(f35889,plain,
! [X0,X1] :
( ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f35876,f23552]) ).
fof(f35890,plain,
! [X0,X1] :
( ~ m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f35877,f23552]) ).
fof(f36136,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f24291,f24290]) ).
fof(f36137,plain,
( m1_filter_0(u1_struct_0(sK152),k1_lattice2(sK152))
| v3_struct_0(k1_lattice2(sK152))
| ~ v10_lattices(k1_lattice2(sK152))
| ~ l3_lattices(k1_lattice2(sK152)) ),
inference(superposition,[],[f24291,f34946]) ).
fof(f36138,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f36136]) ).
fof(f36142,plain,
( m1_filter_0(u1_struct_0(sK152),k1_lattice2(sK152))
| ~ v10_lattices(k1_lattice2(sK152))
| ~ l3_lattices(k1_lattice2(sK152))
| spl1357_64 ),
inference(forward_subsumption_resolution,[],[f36137,f34669]) ).
fof(f36143,plain,
( m1_filter_0(u1_struct_0(sK152),k1_lattice2(sK152))
| ~ l3_lattices(k1_lattice2(sK152))
| ~ spl1357_63
| spl1357_64 ),
inference(forward_subsumption_resolution,[],[f36142,f34665]) ).
fof(f36144,plain,
( m1_filter_0(u1_struct_0(sK152),k1_lattice2(sK152))
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64 ),
inference(forward_subsumption_resolution,[],[f36143,f34661]) ).
fof(f36148,plain,
( ~ v1_xboole_0(u1_struct_0(sK152))
| v3_struct_0(k1_lattice2(sK152))
| ~ v10_lattices(k1_lattice2(sK152))
| ~ l3_lattices(k1_lattice2(sK152))
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64 ),
inference(resolution,[],[f36144,f24290]) ).
fof(f36149,plain,
( v3_struct_0(k1_lattice2(sK152))
| ~ v10_lattices(k1_lattice2(sK152))
| ~ l3_lattices(k1_lattice2(sK152))
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_107 ),
inference(forward_subsumption_resolution,[],[f36148,f35528]) ).
fof(f36153,plain,
( ~ v10_lattices(k1_lattice2(sK152))
| ~ l3_lattices(k1_lattice2(sK152))
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_107 ),
inference(forward_subsumption_resolution,[],[f36149,f34669]) ).
fof(f36157,plain,
( ~ l3_lattices(k1_lattice2(sK152))
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_107 ),
inference(forward_subsumption_resolution,[],[f36153,f34665]) ).
fof(f36161,plain,
( $false
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_107 ),
inference(forward_subsumption_resolution,[],[f36157,f34661]) ).
fof(f36162,plain,
( ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_107 ),
inference(avatar_contradiction_clause,[],[f36161]) ).
fof(f36184,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| ~ l3_lattices(sK152)
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_lattice4(sK153,sK152)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f35830,f36138]) ).
fof(f36239,plain,
( ~ v10_lattices(sK152)
| ~ l3_lattices(sK152)
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_lattice4(sK153,sK152)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f36184,f22405]) ).
fof(f36294,plain,
( ~ l3_lattices(sK152)
| r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_lattice4(sK153,sK152)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f36239,f22404]) ).
fof(f36353,plain,
( r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ v1_funct_1(u1_lattices(sK152))
| ~ m2_lattice4(sK153,sK152)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f36294,f22403]) ).
fof(f36388,plain,
( r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ m2_lattice4(sK153,sK152)
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f36353,f34582]) ).
fof(f36398,plain,
( r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78 ),
inference(forward_subsumption_resolution,[],[f36388,f22406]) ).
fof(f36409,plain,
( r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78
| ~ spl1357_79 ),
inference(forward_subsumption_resolution,[],[f36398,f35716]) ).
fof(f36418,plain,
( r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78
| ~ spl1357_79
| ~ spl1357_80 ),
inference(forward_subsumption_resolution,[],[f36409,f35881]) ).
fof(f36419,plain,
( r1_lattice2(sK153,sK154,k1_realset1(u1_lattices(sK152),sK153))
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78
| ~ spl1357_79
| ~ spl1357_80
| ~ spl1357_81 ),
inference(forward_subsumption_resolution,[],[f36418,f35230]) ).
fof(f36420,plain,
( r1_lattice2(sK153,sK154,sK155)
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78
| ~ spl1357_79
| ~ spl1357_80
| ~ spl1357_81 ),
inference(forward_demodulation,[],[f36419,f22414]) ).
fof(f36691,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[],[f35190,f22837]) ).
fof(f36698,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36691,f36138]) ).
fof(f36701,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36698,f22839]) ).
fof(f36704,plain,
! [X0,X1] :
( ~ v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(forward_subsumption_resolution,[],[f36701,f23551]) ).
fof(f36714,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(resolution,[],[f36704,f22628]) ).
fof(f36717,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ v4_lattices(X0)
| ~ l2_lattices(X0) ),
inference(duplicate_literal_removal,[],[f36714]) ).
fof(f36720,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36717,f23717]) ).
fof(f36723,plain,
! [X0,X1] :
( v1_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(forward_subsumption_resolution,[],[f36720,f23551]) ).
fof(f36729,plain,
( v1_binop_1(sK154,sK153)
| ~ l3_lattices(sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152) ),
inference(superposition,[],[f36723,f22415]) ).
fof(f36775,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[],[f35191,f22837]) ).
fof(f36782,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36775,f36138]) ).
fof(f36785,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36782,f22839]) ).
fof(f36788,plain,
! [X0,X1] :
( ~ v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(forward_subsumption_resolution,[],[f36785,f23551]) ).
fof(f36798,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v5_lattices(X0)
| ~ l2_lattices(X0) ),
inference(resolution,[],[f36788,f22681]) ).
fof(f36801,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ v5_lattices(X0)
| ~ l2_lattices(X0) ),
inference(duplicate_literal_removal,[],[f36798]) ).
fof(f36804,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l2_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36801,f23716]) ).
fof(f36807,plain,
! [X0,X1] :
( v2_binop_1(k1_realset1(u2_lattices(X0),X1),X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(forward_subsumption_resolution,[],[f36804,f23551]) ).
fof(f36813,plain,
( v2_binop_1(sK154,sK153)
| ~ l3_lattices(sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152) ),
inference(superposition,[],[f36807,f22415]) ).
fof(f36880,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[],[f35889,f22855]) ).
fof(f36887,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l1_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36880,f36138]) ).
fof(f36890,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l1_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36887,f22857]) ).
fof(f36893,plain,
! [X0,X1] :
( ~ v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(forward_subsumption_resolution,[],[f36890,f23552]) ).
fof(f36903,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(resolution,[],[f36893,f22851]) ).
fof(f36906,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ v6_lattices(X0)
| ~ l1_lattices(X0) ),
inference(duplicate_literal_removal,[],[f36903]) ).
fof(f36909,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l1_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f36906,f23715]) ).
fof(f36912,plain,
! [X0,X1] :
( v1_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(forward_subsumption_resolution,[],[f36909,f23552]) ).
fof(f36918,plain,
( v1_binop_1(sK155,sK153)
| ~ l3_lattices(sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152) ),
inference(superposition,[],[f36912,f22414]) ).
fof(f36919,plain,
( ~ l3_lattices(sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_50 ),
inference(forward_subsumption_resolution,[],[f36918,f34263]) ).
fof(f36921,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_50 ),
inference(forward_subsumption_resolution,[],[f36919,f22403]) ).
fof(f36923,plain,
( ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_50 ),
inference(forward_subsumption_resolution,[],[f36921,f22405]) ).
fof(f36925,plain,
( v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_50 ),
inference(forward_subsumption_resolution,[],[f36923,f22404]) ).
fof(f36926,plain,
( ~ m2_lattice4(sK153,sK152)
| spl1357_50 ),
inference(forward_subsumption_resolution,[],[f36925,f22407]) ).
fof(f36927,plain,
( $false
| spl1357_50 ),
inference(forward_subsumption_resolution,[],[f36926,f22406]) ).
fof(f36928,plain,
spl1357_50,
inference(avatar_contradiction_clause,[],[f36927]) ).
fof(f37136,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[],[f35890,f22855]) ).
fof(f37143,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l1_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f37136,f36138]) ).
fof(f37146,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l1_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f37143,f22857]) ).
fof(f37149,plain,
! [X0,X1] :
( ~ v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(forward_subsumption_resolution,[],[f37146,f23552]) ).
fof(f37159,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(resolution,[],[f37149,f22676]) ).
fof(f37162,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ v7_lattices(X0)
| ~ l1_lattices(X0) ),
inference(duplicate_literal_removal,[],[f37159]) ).
fof(f37165,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| ~ l1_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f37162,f23714]) ).
fof(f37168,plain,
! [X0,X1] :
( v2_binop_1(k1_realset1(u1_lattices(X0),X1),X1)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(forward_subsumption_resolution,[],[f37165,f23552]) ).
fof(f37174,plain,
( v2_binop_1(sK155,sK153)
| ~ l3_lattices(sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152) ),
inference(superposition,[],[f37168,f22414]) ).
fof(f37175,plain,
( ~ l3_lattices(sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_49 ),
inference(forward_subsumption_resolution,[],[f37174,f34259]) ).
fof(f37177,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_49 ),
inference(forward_subsumption_resolution,[],[f37175,f22403]) ).
fof(f37179,plain,
( ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_49 ),
inference(forward_subsumption_resolution,[],[f37177,f22405]) ).
fof(f37181,plain,
( v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_49 ),
inference(forward_subsumption_resolution,[],[f37179,f22404]) ).
fof(f37182,plain,
( ~ m2_lattice4(sK153,sK152)
| spl1357_49 ),
inference(forward_subsumption_resolution,[],[f37181,f22407]) ).
fof(f37183,plain,
( $false
| spl1357_49 ),
inference(forward_subsumption_resolution,[],[f37182,f22406]) ).
fof(f37184,plain,
spl1357_49,
inference(avatar_contradiction_clause,[],[f37183]) ).
fof(f37186,plain,
( ~ l3_lattices(sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_52 ),
inference(forward_subsumption_resolution,[],[f36729,f34271]) ).
fof(f37189,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_52 ),
inference(forward_subsumption_resolution,[],[f37186,f22403]) ).
fof(f37192,plain,
( ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_52 ),
inference(forward_subsumption_resolution,[],[f37189,f22405]) ).
fof(f37195,plain,
( v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_52 ),
inference(forward_subsumption_resolution,[],[f37192,f22404]) ).
fof(f37197,plain,
( ~ m2_lattice4(sK153,sK152)
| spl1357_52 ),
inference(forward_subsumption_resolution,[],[f37195,f22407]) ).
fof(f37198,plain,
( $false
| spl1357_52 ),
inference(forward_subsumption_resolution,[],[f37197,f22406]) ).
fof(f37199,plain,
spl1357_52,
inference(avatar_contradiction_clause,[],[f37198]) ).
fof(f37208,plain,
( ~ l3_lattices(sK152)
| v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_51 ),
inference(forward_subsumption_resolution,[],[f36813,f34267]) ).
fof(f37219,plain,
( v3_struct_0(sK152)
| ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_51 ),
inference(forward_subsumption_resolution,[],[f37208,f22403]) ).
fof(f37230,plain,
( ~ v10_lattices(sK152)
| v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_51 ),
inference(forward_subsumption_resolution,[],[f37219,f22405]) ).
fof(f37241,plain,
( v1_xboole_0(sK153)
| ~ m2_lattice4(sK153,sK152)
| spl1357_51 ),
inference(forward_subsumption_resolution,[],[f37230,f22404]) ).
fof(f37244,plain,
( ~ m2_lattice4(sK153,sK152)
| spl1357_51 ),
inference(forward_subsumption_resolution,[],[f37241,f22407]) ).
fof(f37245,plain,
( $false
| spl1357_51 ),
inference(forward_subsumption_resolution,[],[f37244,f22406]) ).
fof(f37246,plain,
spl1357_51,
inference(avatar_contradiction_clause,[],[f37245]) ).
fof(f37247,plain,
( $false
| spl1357_48
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78
| ~ spl1357_79
| ~ spl1357_80
| ~ spl1357_81 ),
inference(forward_subsumption_resolution,[],[f36420,f34255]) ).
fof(f37248,plain,
( spl1357_48
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78
| ~ spl1357_79
| ~ spl1357_80
| ~ spl1357_81 ),
inference(avatar_contradiction_clause,[],[f37247]) ).
fof(f37256,plain,
( ~ r1_lattice2(u1_struct_0(sK152),u1_lattices(sK152),u2_lattices(sK152))
| ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| v1_xboole_0(u1_struct_0(sK152))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| ~ l1_lattices(sK152)
| ~ spl1357_102 ),
inference(resolution,[],[f35463,f22856]) ).
fof(f37257,plain,
( ~ v1_funct_2(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| v1_xboole_0(u1_struct_0(sK152))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| ~ l1_lattices(sK152)
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_102 ),
inference(forward_subsumption_resolution,[],[f37256,f35149]) ).
fof(f37259,plain,
( ~ m2_relset_1(u2_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| v1_xboole_0(u1_struct_0(sK152))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| ~ l1_lattices(sK152)
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_80
| ~ spl1357_102 ),
inference(forward_subsumption_resolution,[],[f37257,f35881]) ).
fof(f37261,plain,
( v1_xboole_0(u1_struct_0(sK152))
| ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| ~ l1_lattices(sK152)
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_80
| ~ spl1357_81
| ~ spl1357_102 ),
inference(forward_subsumption_resolution,[],[f37259,f35230]) ).
fof(f37263,plain,
( ~ m2_relset_1(u1_lattices(sK152),k2_zfmisc_1(u1_struct_0(sK152),u1_struct_0(sK152)),u1_struct_0(sK152))
| ~ m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| ~ l1_lattices(sK152)
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_80
| ~ spl1357_81
| ~ spl1357_102
| spl1357_107 ),
inference(forward_subsumption_resolution,[],[f37261,f35527]) ).
fof(f37265,plain,
( ~ m1_subset_1(sK153,k1_zfmisc_1(u1_struct_0(sK152)))
| ~ l1_lattices(sK152)
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_80
| ~ spl1357_81
| ~ spl1357_102
| spl1357_107 ),
inference(forward_subsumption_resolution,[],[f37263,f22855]) ).
fof(f37267,plain,
( ~ l1_lattices(sK152)
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_80
| ~ spl1357_81
| ~ spl1357_102
| spl1357_107
| ~ spl1357_108 ),
inference(forward_subsumption_resolution,[],[f37265,f35531]) ).
fof(f37270,plain,
( $false
| ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_80
| ~ spl1357_81
| ~ spl1357_102
| spl1357_107
| ~ spl1357_108 ),
inference(forward_subsumption_resolution,[],[f37267,f35223]) ).
fof(f37271,plain,
( ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_80
| ~ spl1357_81
| ~ spl1357_102
| spl1357_107
| ~ spl1357_108 ),
inference(avatar_contradiction_clause,[],[f37270]) ).
cnf(s31,plain,
( ~ spl1357_47
| ~ spl1357_48
| ~ spl1357_49
| ~ spl1357_50
| ~ spl1357_51
| ~ spl1357_52 ),
inference(sat_conversion,[],[f34272]) ).
cnf(s36,plain,
( ~ spl1357_56
| spl1357_57 ),
inference(sat_conversion,[],[f34564]) ).
cnf(s43,plain,
spl1357_62,
inference(sat_conversion,[],[f34702]) ).
cnf(s46,plain,
~ spl1357_64,
inference(sat_conversion,[],[f34720]) ).
cnf(s51,plain,
( ~ spl1357_78
| spl1357_79 ),
inference(sat_conversion,[],[f34857]) ).
cnf(s52,plain,
( ~ spl1357_80
| spl1357_81 ),
inference(sat_conversion,[],[f34870]) ).
cnf(s57,plain,
spl1357_63,
inference(sat_conversion,[],[f35052]) ).
cnf(s60,plain,
( ~ spl1357_62
| spl1357_80 ),
inference(sat_conversion,[],[f35227]) ).
cnf(s61,plain,
spl1357_59,
inference(sat_conversion,[],[f35229]) ).
cnf(s62,plain,
( spl1357_56
| ~ spl1357_80 ),
inference(sat_conversion,[],[f35250]) ).
cnf(s74,plain,
( spl1357_47
| ~ spl1357_57
| ~ spl1357_59
| spl1357_102 ),
inference(sat_conversion,[],[f35464]) ).
cnf(s83,plain,
( ~ spl1357_62
| spl1357_78 ),
inference(sat_conversion,[],[f35713]) ).
cnf(s94,plain,
spl1357_108,
inference(sat_conversion,[],[f35796]) ).
cnf(s95,plain,
( ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_107 ),
inference(sat_conversion,[],[f36162]) ).
cnf(s114,plain,
spl1357_50,
inference(sat_conversion,[],[f36928]) ).
cnf(s116,plain,
spl1357_49,
inference(sat_conversion,[],[f37184]) ).
cnf(s117,plain,
spl1357_52,
inference(sat_conversion,[],[f37199]) ).
cnf(s118,plain,
spl1357_51,
inference(sat_conversion,[],[f37246]) ).
cnf(s119,plain,
( spl1357_48
| ~ spl1357_56
| ~ spl1357_59
| ~ spl1357_78
| ~ spl1357_79
| ~ spl1357_80
| ~ spl1357_81 ),
inference(sat_conversion,[],[f37248]) ).
cnf(s121,plain,
( ~ spl1357_62
| ~ spl1357_63
| spl1357_64
| ~ spl1357_80
| ~ spl1357_81
| ~ spl1357_102
| spl1357_107
| ~ spl1357_108 ),
inference(sat_conversion,[],[f37271]) ).
cnf(s131,plain,
~ spl1357_107,
inference(rat,[],[s95,s46,s57,s43]) ).
cnf(s132,plain,
spl1357_78,
inference(rat,[],[s83,s43]) ).
cnf(s133,plain,
spl1357_80,
inference(rat,[],[s60,s43]) ).
cnf(s136,plain,
spl1357_79,
inference(rat,[],[s51,s132]) ).
cnf(s137,plain,
spl1357_56,
inference(rat,[],[s62,s133]) ).
cnf(s138,plain,
spl1357_81,
inference(rat,[],[s52,s133]) ).
cnf(s139,plain,
spl1357_48,
inference(rat,[],[s119,s138,s133,s136,s132,s61,s137]) ).
cnf(s143,plain,
~ spl1357_102,
inference(rat,[],[s121,s94,s131,s133,s43,s46,s57,s138]) ).
cnf(s155,plain,
spl1357_57,
inference(rat,[],[s36,s137]) ).
cnf(s157,plain,
spl1357_47,
inference(rat,[],[s74,s143,s61,s155]) ).
cnf(s158,plain,
$false,
inference(rat,[],[s31,s117,s118,s114,s116,s139,s157]) ).
fof(f37272,plain,
$false,
inference(avatar_sat_refutation,[],[s158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT326+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.43 % Computer : n004.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Sun Sep 27 14:39:09 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 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
% 26.66/5.59 % (3585901)Detected formulas, will run a generic FOF schedule.
% 26.66/5.59 % (3585910)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=3699387273:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 26.66/5.59 % (3585914)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2682819657:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 26.66/5.59 % (3585911)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=3284079795:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 26.66/5.59 % (3585912)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=2640675868:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 26.66/5.59 % (3585915)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3070976611:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 26.66/5.59 % (3585916)dis-21_1_sil=8000:lcm=predicate:random_seed=908387223:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 26.66/5.59 % (3585913)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3343708239:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 26.66/5.59 % (3585915)Instruction limit reached!
% 26.66/5.59 % (3585915)------------------------------
% 26.66/5.59 % (3585915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.66/5.59 % (3585915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/5.59 % (3585915)CaDiCaL version: 2.1.3
% 26.66/5.59 % (3585915)Termination reason: Instruction limit
% 26.66/5.59 % (3585915)Termination phase: Property scanning
% 26.66/5.59 % (3585915)Time elapsed: 0.105 s
% 26.66/5.59 % (3585915)Peak memory usage: 102 MB
% 26.66/5.59 % (3585915)Instructions burned: 140 (million)
% 26.66/5.59 % (3585914)Instruction limit reached!
% 26.66/5.59 % (3585914)------------------------------
% 26.66/5.59 % (3585914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.66/5.59 % (3585914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/5.59 % (3585914)CaDiCaL version: 2.1.3
% 26.66/5.59 % (3585914)Termination reason: Instruction limit
% 26.66/5.59 % (3585914)Termination phase: Preprocessing 3
% 26.66/5.59 % (3585914)Time elapsed: 0.142 s
% 26.66/5.59 % (3585914)Peak memory usage: 105 MB
% 26.66/5.59 % (3585914)Instructions burned: 120 (million)
% 26.66/5.59 % (3585913)Instruction limit reached!
% 26.66/5.59 % (3585913)------------------------------
% 26.66/5.59 % (3585913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.66/5.59 % (3585913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/5.59 % (3585913)CaDiCaL version: 2.1.3
% 26.66/5.59 % (3585913)Termination reason: Instruction limit
% 26.66/5.59 % (3585913)Termination phase: Saturation
% 26.66/5.59 % (3585913)Time elapsed: 0.124 s
% 26.66/5.59 % (3585913)Peak memory usage: 107 MB
% 26.66/5.59 % (3585913)Instructions burned: 110 (million)
% 26.66/5.59 % (3585916)Instruction limit reached!
% 26.66/5.59 % (3585916)------------------------------
% 26.66/5.59 % (3585916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.66/5.59 % (3585916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.66/5.59 % (3585916)CaDiCaL version: 2.1.3
% 26.66/5.59 % (3585916)Termination reason: Instruction limit
% 26.66/5.59 % (3585916)Termination phase: Preprocessing 1
% 26.66/5.59 % (3585916)Time elapsed: 0.146 s
% 26.66/5.59 % (3585916)Peak memory usage: 104 MB
% 26.66/5.59 % (3585916)Instructions burned: 129 (million)
% 26.66/5.59 % (3585926)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1493874773:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 26.66/5.59 % (3585925)lrs+10_1_sil=8000:sp=occurrence:random_seed=3993311328:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 26.66/5.59 % (3585927)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1179521493:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 26.66/5.59 % (3585928)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1599071925:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 26.66/5.59 % (3585926)Instruction limit reached!
% 38.73/7.24 % (3585926)------------------------------
% 38.73/7.24 % (3585926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.73/7.24 % (3585926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.73/7.24 % (3585926)CaDiCaL version: 2.1.3
% 38.73/7.24 % (3585926)Termination reason: Instruction limit
% 38.73/7.24 % (3585926)Termination phase: Property scanning
% 38.73/7.24 % (3585926)Time elapsed: 0.129 s
% 38.73/7.24 % (3585926)Peak memory usage: 102 MB
% 38.73/7.24 % (3585926)Instructions burned: 158 (million)
% 38.73/7.24 % (3585928)Instruction limit reached!
% 38.73/7.24 % (3585928)------------------------------
% 38.73/7.24 % (3585928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.73/7.24 % (3585928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.73/7.24 % (3585928)CaDiCaL version: 2.1.3
% 38.73/7.24 % (3585928)Termination reason: Instruction limit
% 38.73/7.24 % (3585928)Termination phase: SInE selection
% 38.73/7.24 % (3585928)Time elapsed: 0.222 s
% 38.73/7.24 % (3585928)Peak memory usage: 103 MB
% 38.73/7.24 % (3585928)Instructions burned: 249 (million)
% 38.73/7.24 % (3585925)Instruction limit reached!
% 38.73/7.24 % (3585925)------------------------------
% 38.73/7.24 % (3585925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.73/7.24 % (3585925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.73/7.24 % (3585925)CaDiCaL version: 2.1.3
% 38.73/7.24 % (3585925)Termination reason: Instruction limit
% 38.73/7.24 % (3585925)Termination phase: Saturation
% 38.73/7.24 % (3585925)Time elapsed: 0.312 s
% 38.73/7.24 % (3585925)Peak memory usage: 110 MB
% 38.73/7.24 % (3585925)Instructions burned: 286 (million)
% 38.73/7.24 % (3585927)Instruction limit reached!
% 38.73/7.24 % (3585927)------------------------------
% 38.73/7.24 % (3585927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.73/7.24 % (3585927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.73/7.24 % (3585927)CaDiCaL version: 2.1.3
% 38.73/7.24 % (3585927)Termination reason: Instruction limit
% 38.73/7.24 % (3585927)Termination phase: Saturation
% 38.73/7.24 % (3585927)Time elapsed: 0.340 s
% 38.73/7.24 % (3585927)Peak memory usage: 109 MB
% 38.73/7.24 % (3585927)Instructions burned: 325 (million)
% 38.73/7.24 % (3585937)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=475467569:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2982 on theBenchmark for (2982ds/294Mi)
% 38.73/7.24 % (3585939)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1319585912:i=2350_2980 on theBenchmark for (2980ds/2350Mi)
% 38.73/7.24 % (3585940)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=607168263:cts=off:i=113:fsr=off:ss=included:sgt=4_2980 on theBenchmark for (2980ds/113Mi)
% 38.73/7.24 % (3585941)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4159002678:i=127:av=off:fsr=off:sup=off_2980 on theBenchmark for (2980ds/127Mi)
% 38.73/7.24 % (3585937)Instruction limit reached!
% 38.73/7.24 % (3585937)------------------------------
% 38.73/7.24 % (3585937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.73/7.24 % (3585937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.73/7.24 % (3585937)CaDiCaL version: 2.1.3
% 38.73/7.24 % (3585937)Termination reason: Instruction limit
% 38.73/7.24 % (3585937)Termination phase: Saturation
% 38.73/7.24 % (3585937)Time elapsed: 0.307 s
% 38.73/7.24 % (3585937)Peak memory usage: 110 MB
% 38.73/7.24 % (3585937)Instructions burned: 295 (million)
% 38.73/7.24 % (3585940)Instruction limit reached!
% 38.73/7.24 % (3585940)------------------------------
% 38.73/7.24 % (3585940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.73/7.24 % (3585940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.73/7.24 % (3585940)CaDiCaL version: 2.1.3
% 38.73/7.24 % (3585940)Termination reason: Instruction limit
% 38.73/7.24 % (3585940)Termination phase: Preprocessing 3
% 38.73/7.24 % (3585940)Time elapsed: 0.145 s
% 38.73/7.24 % (3585940)Peak memory usage: 105 MB
% 38.73/7.24 % (3585940)Instructions burned: 114 (million)
% 38.73/7.24 % (3585941)Instruction limit reached!
% 38.73/7.24 % (3585941)------------------------------
% 38.73/7.24 % (3585941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.73/7.24 % (3585941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.73/7.24 % (3585941)CaDiCaL version: 2.1.3
% 38.73/7.24 % (3585941)Termination reason: Instruction limit
% 30.54/11.85 % (3585941)Termination phase: Preprocessing 2
% 30.54/11.85 % (3585941)Time elapsed: 0.166 s
% 30.54/11.85 % (3585941)Peak memory usage: 106 MB
% 30.54/11.85 % (3585941)Instructions burned: 127 (million)
% 30.54/11.85 % (3585946)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=595568956:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2976 on theBenchmark for (2976ds/114Mi)
% 30.54/11.85 % (3585947)lrs+10_1_sil=8000:sp=occurrence:random_seed=203451321:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2976 on theBenchmark for (2976ds/907Mi)
% 30.54/11.85 % (3585946)Instruction limit reached!
% 30.54/11.85 % (3585946)------------------------------
% 30.54/11.85 % (3585946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585946)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585946)Termination reason: Instruction limit
% 30.54/11.85 % (3585946)Termination phase: Property scanning
% 30.54/11.85 % (3585946)Time elapsed: 0.093 s
% 30.54/11.85 % (3585946)Peak memory usage: 102 MB
% 30.54/11.85 % (3585946)Instructions burned: 114 (million)
% 30.54/11.85 % (3585948)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1302772840:i=437:sd=1:aac=none:ss=included_2975 on theBenchmark for (2975ds/437Mi)
% 30.54/11.85 % (3585952)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2570581437:i=5202:ss=axioms:sgt=16_2973 on theBenchmark for (2973ds/5202Mi)
% 30.54/11.85 % (3585948)Instruction limit reached!
% 30.54/11.85 % (3585948)------------------------------
% 30.54/11.85 % (3585948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585948)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585948)Termination reason: Instruction limit
% 30.54/11.85 % (3585948)Termination phase: Saturation
% 30.54/11.85 % (3585948)Time elapsed: 0.415 s
% 30.54/11.85 % (3585948)Peak memory usage: 109 MB
% 30.54/11.85 % (3585948)Instructions burned: 437 (million)
% 30.54/11.85 % (3585956)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=740358843:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2968 on theBenchmark for (2968ds/134Mi)
% 30.54/11.85 % (3585947)Instruction limit reached!
% 30.54/11.85 % (3585947)------------------------------
% 30.54/11.85 % (3585947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585947)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585947)Termination reason: Instruction limit
% 30.54/11.85 % (3585947)Termination phase: Saturation
% 30.54/11.85 % (3585947)Time elapsed: 0.821 s
% 30.54/11.85 % (3585947)Peak memory usage: 122 MB
% 30.54/11.85 % (3585947)Instructions burned: 907 (million)
% 30.54/11.85 % (3585956)Instruction limit reached!
% 30.54/11.85 % (3585956)------------------------------
% 30.54/11.85 % (3585956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585956)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585956)Termination reason: Instruction limit
% 30.54/11.85 % (3585956)Termination phase: Property scanning
% 30.54/11.85 % (3585956)Time elapsed: 0.165 s
% 30.54/11.85 % (3585956)Peak memory usage: 106 MB
% 30.54/11.85 % (3585956)Instructions burned: 134 (million)
% 30.54/11.85 % (3585958)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3445343950:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 30.54/11.85 % (3585959)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1411352964:st=3:i=13193:sd=3:ss=axioms_2963 on theBenchmark for (2963ds/13193Mi)
% 30.54/11.85 % (3585958)Instruction limit reached!
% 30.54/11.85 % (3585958)------------------------------
% 30.54/11.85 % (3585958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585958)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585958)Termination reason: Instruction limit
% 30.54/11.85 % (3585958)Termination phase: Property scanning
% 30.54/11.85 % (3585958)Time elapsed: 0.662 s
% 30.54/11.85 % (3585958)Peak memory usage: 126 MB
% 30.54/11.85 % (3585958)Instructions burned: 592 (million)
% 30.54/11.85 % (3585939)Instruction limit reached!
% 30.54/11.85 % (3585939)------------------------------
% 30.54/11.85 % (3585939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585939)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585939)Termination reason: Instruction limit
% 30.54/11.85 % (3585939)Termination phase: Saturation
% 30.54/11.85 % (3585939)Time elapsed: 2.409 s
% 30.54/11.85 % (3585939)Peak memory usage: 240 MB
% 30.54/11.85 % (3585939)Instructions burned: 2350 (million)
% 30.54/11.85 % (3585962)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1893318055:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/125Mi)
% 30.54/11.85 % (3585962)Instruction limit reached!
% 30.54/11.85 % (3585962)------------------------------
% 30.54/11.85 % (3585962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585962)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585962)Termination reason: Instruction limit
% 30.54/11.85 % (3585962)Termination phase: Property scanning
% 30.54/11.85 % (3585962)Time elapsed: 0.120 s
% 30.54/11.85 % (3585962)Peak memory usage: 102 MB
% 30.54/11.85 % (3585962)Instructions burned: 126 (million)
% 30.54/11.85 % (3585963)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3445348933:i=134:gtgl=5:slsql=off:gtg=exists_sym_2953 on theBenchmark for (2953ds/134Mi)
% 30.54/11.85 % (3585963)Instruction limit reached!
% 30.54/11.85 % (3585963)------------------------------
% 30.54/11.85 % (3585963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585963)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585963)Termination reason: Instruction limit
% 30.54/11.85 % (3585963)Termination phase: Property scanning
% 30.54/11.85 % (3585963)Time elapsed: 0.109 s
% 30.54/11.85 % (3585963)Peak memory usage: 102 MB
% 30.54/11.85 % (3585963)Instructions burned: 135 (million)
% 30.54/11.85 % (3585965)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3423714873:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2950 on theBenchmark for (2950ds/141Mi)
% 30.54/11.85 % (3585967)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2178835306:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2949 on theBenchmark for (2949ds/431Mi)
% 30.54/11.85 % (3585965)Instruction limit reached!
% 30.54/11.85 % (3585965)------------------------------
% 30.54/11.85 % (3585965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585965)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585965)Termination reason: Instruction limit
% 30.54/11.85 % (3585965)Termination phase: Saturation
% 30.54/11.85 % (3585965)Time elapsed: 0.164 s
% 30.54/11.85 % (3585965)Peak memory usage: 108 MB
% 30.54/11.85 % (3585965)Instructions burned: 142 (million)
% 30.54/11.85 % (3585970)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=139017580:i=6060:aac=none:ins=25_2946 on theBenchmark for (2946ds/6060Mi)
% 30.54/11.85 % (3585967)Instruction limit reached!
% 30.54/11.85 % (3585967)------------------------------
% 30.54/11.85 % (3585967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585967)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585967)Termination reason: Instruction limit
% 30.54/11.85 % (3585967)Termination phase: Saturation
% 30.54/11.85 % (3585967)Time elapsed: 0.452 s
% 30.54/11.85 % (3585967)Peak memory usage: 111 MB
% 30.54/11.85 % (3585967)Instructions burned: 431 (million)
% 30.54/11.85 % (3585974)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1595910390:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2941 on theBenchmark for (2941ds/150Mi)
% 30.54/11.85 % (3585974)Instruction limit reached!
% 30.54/11.85 % (3585974)------------------------------
% 30.54/11.85 % (3585974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585974)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585974)Termination reason: Instruction limit
% 30.54/11.85 % (3585974)Termination phase: Preprocessing 1
% 30.54/11.85 % (3585974)Time elapsed: 0.180 s
% 30.54/11.85 % (3585974)Peak memory usage: 103 MB
% 30.54/11.85 % (3585974)Instructions burned: 150 (million)
% 30.54/11.85 % (3585976)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2803810764:i=14155:bd=all_2937 on theBenchmark for (2937ds/14155Mi)
% 30.54/11.85 % (3585952)Instruction limit reached!
% 30.54/11.85 % (3585952)------------------------------
% 30.54/11.85 % (3585952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585952)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585952)Termination reason: Instruction limit
% 30.54/11.85 % (3585952)Termination phase: Saturation
% 30.54/11.85 % (3585952)Time elapsed: 5.674 s
% 30.54/11.85 % (3585952)Peak memory usage: 306 MB
% 30.54/11.85 % (3585952)Instructions burned: 5202 (million)
% 30.54/11.85 % (3585980)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=623855991:i=667:av=off:fsr=off_2912 on theBenchmark for (2912ds/667Mi)
% 30.54/11.85 % (3585980)Instruction limit reached!
% 30.54/11.85 % (3585980)------------------------------
% 30.54/11.85 % (3585980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585980)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585980)Termination reason: Instruction limit
% 30.54/11.85 % (3585980)Termination phase: NewCNF
% 30.54/11.85 % (3585980)Time elapsed: 0.755 s
% 30.54/11.85 % (3585980)Peak memory usage: 135 MB
% 30.54/11.85 % (3585980)Instructions burned: 668 (million)
% 30.54/11.85 % (3585959)First to succeed.
% 30.54/11.85 % (3585959)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3585901"
% 30.54/11.85 % (3585982)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4237243088:s2a=on:i=185:s2at=1.8:fdi=4_2902 on theBenchmark for (2902ds/185Mi)
% 30.54/11.85 % (3585982)Instruction limit reached!
% 30.54/11.85 % (3585982)------------------------------
% 30.54/11.85 % (3585982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.54/11.85 % (3585982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.54/11.85 % (3585982)CaDiCaL version: 2.1.3
% 30.54/11.85 % (3585982)Termination reason: Instruction limit
% 30.54/11.85 % (3585982)Termination phase: Preprocessing 1
% 30.54/11.85 % (3585982)Time elapsed: 0.221 s
% 30.54/11.85 % (3585982)Peak memory usage: 104 MB
% 30.54/11.85 % (3585982)Instructions burned: 185 (million)
% 30.54/11.85 % (3585986)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3292335340:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2896 on theBenchmark for (2896ds/193Mi)
% 30.54/11.85 % (3585959)Refutation found. Thanks to Tanya!
% 30.54/11.85 % SZS status Theorem for theBenchmark
% 30.54/11.85 % SZS output start Proof for theBenchmark
% See solution above
% 71.29/12.09 % (3585959)------------------------------
% 71.29/12.09 % (3585959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.29/12.09 % (3585959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.29/12.09 % (3585959)CaDiCaL version: 2.1.3
% 71.29/12.09 % (3585959)Termination reason: Refutation
% 71.29/12.09 % (3585959)Time elapsed: 6.017 s
% 71.29/12.09 % (3585959)Peak memory usage: 263 MB
% 71.29/12.09 % (3585959)Instructions burned: 5620 (million)
% 71.29/12.09 % (3585959)------------------------------
% 71.29/12.09 % (3585959)------------------------------
% 71.29/12.09 % (3585901)Success in time 10.863 s
% 71.29/12.09 % Vampire exiting
%------------------------------------------------------------------------------