%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT322+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:48:24 AM UTC 2026
% Result : Theorem 2.38s 0.92s
% Output : Refutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 42
% Syntax : Number of formulae : 349 ( 46 unt; 17 def)
% Number of atoms : 1519 ( 119 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1936 ( 766 ~; 859 |; 244 &)
% ( 29 <=>; 36 =>; 0 <=; 2 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 15 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 221 ( 0 sgn 213 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<=> r2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<=> r2_filter_2(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f16,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f18,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f20,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f23,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_2(k1_filter_2(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_filter_2) ).
fof(f24,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f32,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f37,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f38,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/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f40,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/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f42,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/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f55,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f62,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_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))
& v11_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(f66,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/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f67,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f85,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f86,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_2(X0) = k1_filter_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(f87,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f88,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f92,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f94,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_filter_2) ).
fof(f96,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_filter_0) ).
fof(f111,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f62]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<~> r2_filter_2(X0,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
? [X0] :
( ? [X1] :
( ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<~> r2_filter_2(X0,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f118]) ).
fof(f139,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f140,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f145,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f144]) ).
fof(f148,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f149,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f148]) ).
fof(f154,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f155,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f161,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f166]) ).
fof(f168,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,[],[f38]) ).
fof(f169,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,[],[f168]) ).
fof(f171,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,[],[f40]) ).
fof(f172,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,[],[f42]) ).
fof(f183,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f184,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f183]) ).
fof(f193,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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f111]) ).
fof(f194,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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f193]) ).
fof(f201,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,[],[f66]) ).
fof(f202,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,[],[f201]) ).
fof(f203,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f203]) ).
fof(f210,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f211,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f213,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f212]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f214]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f219]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f222]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f226]) ).
fof(f232,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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f233,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f194,f232]) ).
fof(f234,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)) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f235,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f202,f234]) ).
fof(f236,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| k17_filter_2(X0) = X1
| ~ v1_filter_2(X1,X0) )
& ( r2_filter_2(X0,X1)
| ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) ) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f237,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| k17_filter_2(X0) = X1
| ~ v1_filter_2(X1,X0) )
& ( r2_filter_2(X0,X1)
| ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) ) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
( ( ~ r2_filter_2(sK2,sK3)
| sK3 = k17_filter_2(sK2)
| ~ v1_filter_2(sK3,sK2) )
& ( r2_filter_2(sK2,sK3)
| ( sK3 != k17_filter_2(sK2)
& v1_filter_2(sK3,sK2) ) )
& m2_filter_2(sK3,sK2)
& ~ v3_struct_0(sK2)
& v10_lattices(sK2)
& v17_lattices(sK2)
& l3_lattices(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f237]) ).
fof(f250,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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f232]) ).
fof(f251,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)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f234]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f215]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f271,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( ( v1_filter_2(X1,X0)
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ v1_filter_2(X1,X0) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0) ) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f227]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0) ) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f273]) ).
fof(f275,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f276,plain,
v17_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f277,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f278,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f279,plain,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f280,plain,
( r2_filter_2(sK2,sK3)
| v1_filter_2(sK3,sK2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f281,plain,
( r2_filter_2(sK2,sK3)
| sK3 != k17_filter_2(sK2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f282,plain,
( ~ r2_filter_2(sK2,sK3)
| sK3 = k17_filter_2(sK2)
| ~ v1_filter_2(sK3,sK2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f283,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f319,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f320,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f321,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k7_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f322,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f325,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f328,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f329,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f330,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f334,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f335,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f340,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f342,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f344,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,[],[f171]) ).
fof(f345,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f346,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f171]) ).
fof(f347,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,[],[f172]) ).
fof(f348,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f349,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f363,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f375,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f390,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f398,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f407,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f501,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f502,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k1_filter_0(X0) = k1_filter_2(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f503,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f505,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f510,plain,
! [X0,X1] :
( ~ r2_filter_2(X0,X1)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f511,plain,
! [X0,X1] :
( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f513,plain,
! [X0,X1] :
( ~ v1_filter_2(X1,X0)
| v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f514,plain,
! [X0,X1] :
( ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| v1_filter_2(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f516,plain,
! [X0,X1] :
( ~ v2_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f517,plain,
! [X0,X1] :
( ~ v1_filter_0(X1,X0)
| v2_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f518,plain,
! [X0,X1] :
( k1_filter_0(X0) != X1
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f523,plain,
! [X0] :
( ~ v1_filter_0(k1_filter_0(X0),X0)
| ~ m1_filter_0(k1_filter_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f518]) ).
fof(f524,definition,
sF32 = k17_filter_2(sK2),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f525,plain,
k17_filter_2(sK2) = sF32,
inference(reorient_equations,[],[f524]) ).
fof(f526,plain,
( ~ r2_filter_2(sK2,sK3)
| sK3 = sF32
| ~ v1_filter_2(sK3,sK2) ),
inference(definition_folding,[],[f282,f525]) ).
fof(f527,plain,
( r2_filter_2(sK2,sK3)
| sK3 != sF32 ),
inference(definition_folding,[],[f281,f525]) ).
fof(f529,definition,
( spl33_1
<=> v1_filter_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f530,plain,
( ~ v1_filter_2(sK3,sK2)
| spl33_1 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( v1_filter_2(sK3,sK2)
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,definition,
( spl33_2
<=> r2_filter_2(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f534,plain,
( ~ r2_filter_2(sK2,sK3)
| spl33_2 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f535,plain,
( r2_filter_2(sK2,sK3)
| ~ spl33_2 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f536,plain,
( spl33_1
| spl33_2 ),
inference(avatar_split_clause,[],[f280,f533,f529]) ).
fof(f538,definition,
( spl33_3
<=> sK3 = sF32 ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f539,plain,
( sK3 = sF32
| ~ spl33_3 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f540,plain,
( sK3 != sF32
| spl33_3 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f541,plain,
( ~ spl33_3
| spl33_2 ),
inference(avatar_split_clause,[],[f527,f533,f538]) ).
fof(f542,plain,
( ~ spl33_1
| spl33_3
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f526,f533,f538,f529]) ).
fof(f549,plain,
l2_lattices(sK2),
inference(resolution,[],[f334,f275]) ).
fof(f559,plain,
l1_lattices(sK2),
inference(resolution,[],[f335,f275]) ).
fof(f573,plain,
v3_lattices(k1_lattice2(sK2)),
inference(resolution,[],[f330,f275]) ).
fof(f583,plain,
v1_funct_1(u1_lattices(sK2)),
inference(resolution,[],[f346,f559]) ).
fof(f585,plain,
v1_funct_1(u2_lattices(sK2)),
inference(resolution,[],[f349,f549]) ).
fof(f895,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| sP1(sK2) ),
inference(resolution,[],[f407,f275]) ).
fof(f909,plain,
( ~ v10_lattices(sK2)
| sP1(sK2) ),
inference(forward_subsumption_resolution,[],[f895,f278]) ).
fof(f915,plain,
sP1(sK2),
inference(forward_subsumption_resolution,[],[f909,f277]) ).
fof(f1322,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| sP0(sK2) ),
inference(resolution,[],[f390,f275]) ).
fof(f1332,plain,
( ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| sP0(sK2) ),
inference(forward_subsumption_resolution,[],[f1322,f278]) ).
fof(f1334,plain,
( ~ v17_lattices(sK2)
| sP0(sK2) ),
inference(forward_subsumption_resolution,[],[f1332,f277]) ).
fof(f1336,plain,
sP0(sK2),
inference(forward_subsumption_resolution,[],[f1334,f276]) ).
fof(f1449,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| k17_filter_2(sK2) = u1_struct_0(sK2) ),
inference(resolution,[],[f322,f275]) ).
fof(f1463,plain,
( ~ v10_lattices(sK2)
| k17_filter_2(sK2) = u1_struct_0(sK2) ),
inference(forward_subsumption_resolution,[],[f1449,f278]) ).
fof(f1469,plain,
k17_filter_2(sK2) = u1_struct_0(sK2),
inference(forward_subsumption_resolution,[],[f1463,f277]) ).
fof(f1538,plain,
k1_lattice2(sK2) = g3_lattices(u1_struct_0(sK2),u1_lattices(sK2),u2_lattices(sK2)),
inference(resolution,[],[f320,f275]) ).
fof(f1548,plain,
sF32 = u1_struct_0(sK2),
inference(superposition,[],[f525,f1469]) ).
fof(f1565,plain,
( m2_lattice4(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f340,f279]) ).
fof(f1571,plain,
( m2_lattice4(sK3,sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f1565,f278]) ).
fof(f1573,plain,
( m2_lattice4(sK3,sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f1571,f277]) ).
fof(f1575,plain,
m2_lattice4(sK3,sK2),
inference(forward_subsumption_resolution,[],[f1573,f275]) ).
fof(f1578,plain,
! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[],[f344,f505]) ).
fof(f1581,plain,
v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)),
inference(resolution,[],[f345,f559]) ).
fof(f1592,plain,
! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[],[f347,f505]) ).
fof(f1593,plain,
v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)),
inference(resolution,[],[f348,f549]) ).
fof(f1631,plain,
( k1_lattice2(sK2) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f283,f573]) ).
fof(f1727,definition,
( spl33_78
<=> l3_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_78])],[avatar_definition]) ).
fof(f1728,plain,
( l3_lattices(k1_lattice2(sK2))
| ~ spl33_78 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1729,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| spl33_78 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1731,definition,
( spl33_79
<=> k1_lattice2(sK2) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2))) ),
introduced(definition,[new_symbols(definition,[spl33_79])],[avatar_definition]) ).
fof(f1733,plain,
( k1_lattice2(sK2) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ spl33_79 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f1734,plain,
( ~ spl33_78
| spl33_79 ),
inference(avatar_split_clause,[],[f1631,f1731,f1727]) ).
fof(f1735,plain,
( ~ l3_lattices(sK2)
| spl33_78 ),
inference(resolution,[],[f1729,f329]) ).
fof(f1736,plain,
( $false
| spl33_78 ),
inference(forward_subsumption_resolution,[],[f1735,f275]) ).
fof(f1737,plain,
spl33_78,
inference(avatar_contradiction_clause,[],[f1736]) ).
fof(f1763,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| u1_struct_0(k1_lattice2(sK2)) = k1_filter_0(k1_lattice2(sK2))
| ~ spl33_78 ),
inference(resolution,[],[f1728,f319]) ).
fof(f1767,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| m1_filter_2(k1_filter_2(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ spl33_78 ),
inference(resolution,[],[f1728,f328]) ).
fof(f1778,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k1_filter_0(k1_lattice2(sK2)) = k1_filter_2(k1_lattice2(sK2))
| ~ spl33_78 ),
inference(resolution,[],[f1728,f502]) ).
fof(f1780,definition,
( spl33_80
<=> k1_filter_0(k1_lattice2(sK2)) = k1_filter_2(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_80])],[avatar_definition]) ).
fof(f1782,plain,
( k1_filter_0(k1_lattice2(sK2)) = k1_filter_2(k1_lattice2(sK2))
| ~ spl33_80 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f1784,definition,
( spl33_81
<=> v10_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_81])],[avatar_definition]) ).
fof(f1785,plain,
( v10_lattices(k1_lattice2(sK2))
| ~ spl33_81 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1786,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| spl33_81 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1788,definition,
( spl33_82
<=> v3_struct_0(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_82])],[avatar_definition]) ).
fof(f1789,plain,
( ~ v3_struct_0(k1_lattice2(sK2))
| spl33_82 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1790,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ spl33_82 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1791,plain,
( spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_78 ),
inference(avatar_split_clause,[],[f1778,f1727,f1788,f1784,f1780]) ).
fof(f1807,definition,
( spl33_86
<=> v17_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_86])],[avatar_definition]) ).
fof(f1808,plain,
( v17_lattices(k1_lattice2(sK2))
| ~ spl33_86 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f1809,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| spl33_86 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f1833,definition,
( spl33_91
<=> m1_filter_2(k1_filter_2(k1_lattice2(sK2)),k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_91])],[avatar_definition]) ).
fof(f1835,plain,
( m1_filter_2(k1_filter_2(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ spl33_91 ),
inference(avatar_component_clause,[],[f1833]) ).
fof(f1836,plain,
( spl33_91
| ~ spl33_81
| spl33_82
| ~ spl33_78 ),
inference(avatar_split_clause,[],[f1767,f1727,f1788,f1784,f1833]) ).
fof(f1848,definition,
( spl33_94
<=> u1_struct_0(k1_lattice2(sK2)) = k1_filter_0(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_94])],[avatar_definition]) ).
fof(f1850,plain,
( u1_struct_0(k1_lattice2(sK2)) = k1_filter_0(k1_lattice2(sK2))
| ~ spl33_94 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f1851,plain,
( spl33_94
| ~ spl33_81
| spl33_82
| ~ spl33_78 ),
inference(avatar_split_clause,[],[f1763,f1727,f1788,f1784,f1848]) ).
fof(f1908,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f342,f1575]) ).
fof(f1914,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f1908,f278]) ).
fof(f1917,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f1914,f277]) ).
fof(f1920,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(forward_subsumption_resolution,[],[f1917,f275]) ).
fof(f1943,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(resolution,[],[f325,f279]) ).
fof(f1949,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1943,f278]) ).
fof(f1952,plain,
( ~ l3_lattices(sK2)
| m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1949,f277]) ).
fof(f1955,plain,
m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[],[f1952,f275]) ).
fof(f1986,plain,
( ~ sP1(sK2)
| spl33_81 ),
inference(resolution,[],[f1786,f398]) ).
fof(f1990,plain,
( $false
| spl33_81 ),
inference(forward_subsumption_resolution,[],[f1986,f915]) ).
fof(f1991,plain,
spl33_81,
inference(avatar_contradiction_clause,[],[f1990]) ).
fof(f2014,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_82 ),
inference(resolution,[],[f1790,f363]) ).
fof(f2021,plain,
( ~ l3_lattices(sK2)
| ~ spl33_82 ),
inference(forward_subsumption_resolution,[],[f2014,f278]) ).
fof(f2022,plain,
( $false
| ~ spl33_82 ),
inference(forward_subsumption_resolution,[],[f2021,f275]) ).
fof(f2023,plain,
~ spl33_82,
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2024,plain,
( m1_filter_2(k1_filter_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ spl33_80
| ~ spl33_91 ),
inference(forward_demodulation,[],[f1835,f1782]) ).
fof(f2025,plain,
( m1_filter_2(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ spl33_80
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_demodulation,[],[f2024,f1850]) ).
fof(f2050,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| k15_filter_2(sK2,sK3) = k7_filter_2(sK2,sK3) ),
inference(resolution,[],[f501,f279]) ).
fof(f2056,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| k15_filter_2(sK2,sK3) = k7_filter_2(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f2050,f278]) ).
fof(f2059,plain,
( ~ l3_lattices(sK2)
| k15_filter_2(sK2,sK3) = k7_filter_2(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f2056,f277]) ).
fof(f2062,plain,
k15_filter_2(sK2,sK3) = k7_filter_2(sK2,sK3),
inference(forward_subsumption_resolution,[],[f2059,f275]) ).
fof(f2065,plain,
( ~ sP0(sK2)
| spl33_86 ),
inference(resolution,[],[f1809,f375]) ).
fof(f2066,plain,
( $false
| spl33_86 ),
inference(forward_subsumption_resolution,[],[f2065,f1336]) ).
fof(f2067,plain,
spl33_86,
inference(avatar_contradiction_clause,[],[f2066]) ).
fof(f2097,plain,
( v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_2 ),
inference(resolution,[],[f510,f535]) ).
fof(f2098,plain,
( v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_2 ),
inference(forward_subsumption_resolution,[],[f2097,f279]) ).
fof(f2099,plain,
( v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_2 ),
inference(forward_subsumption_resolution,[],[f2098,f278]) ).
fof(f2100,plain,
( v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl33_2 ),
inference(forward_subsumption_resolution,[],[f2099,f277]) ).
fof(f2101,plain,
( v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl33_2 ),
inference(forward_subsumption_resolution,[],[f2100,f275]) ).
fof(f2102,plain,
( v1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl33_2 ),
inference(forward_demodulation,[],[f2101,f2062]) ).
fof(f2142,plain,
( m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f1955,f503]) ).
fof(f2147,plain,
( m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl33_82 ),
inference(forward_subsumption_resolution,[],[f2142,f1789]) ).
fof(f2150,plain,
( m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_81
| spl33_82 ),
inference(forward_subsumption_resolution,[],[f2147,f1785]) ).
fof(f2153,plain,
( m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_81
| spl33_82 ),
inference(forward_subsumption_resolution,[],[f2150,f1728]) ).
fof(f2156,plain,
( m1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_81
| spl33_82 ),
inference(forward_demodulation,[],[f2153,f2062]) ).
fof(f2157,plain,
( v2_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_2 ),
inference(resolution,[],[f2102,f517]) ).
fof(f2158,plain,
( v2_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82 ),
inference(forward_subsumption_resolution,[],[f2157,f2156]) ).
fof(f2159,plain,
( v2_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82 ),
inference(forward_subsumption_resolution,[],[f2158,f1789]) ).
fof(f2160,plain,
( v2_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82 ),
inference(forward_subsumption_resolution,[],[f2159,f1785]) ).
fof(f2161,plain,
( v2_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f2160,f1808]) ).
fof(f2162,plain,
( v2_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f2161,f1728]) ).
fof(f2165,plain,
( ~ v2_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| v1_filter_2(sK3,sK2)
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(superposition,[],[f514,f2062]) ).
fof(f2166,plain,
( ~ v1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| r2_filter_2(sK2,sK3)
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(superposition,[],[f511,f2062]) ).
fof(f2167,plain,
( v1_filter_2(sK3,sK2)
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f2165,f2162]) ).
fof(f2168,plain,
( ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl33_1
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f2167,f530]) ).
fof(f2169,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl33_1
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f2168,f279]) ).
fof(f2170,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl33_1
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f2169,f278]) ).
fof(f2171,plain,
( ~ l3_lattices(sK2)
| spl33_1
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f2170,f277]) ).
fof(f2172,plain,
( $false
| spl33_1
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f2171,f275]) ).
fof(f2173,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(avatar_contradiction_clause,[],[f2172]) ).
fof(f2174,plain,
( sK3 = u1_struct_0(sK2)
| ~ spl33_3 ),
inference(forward_demodulation,[],[f539,f1548]) ).
fof(f2175,plain,
( v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_1 ),
inference(resolution,[],[f531,f513]) ).
fof(f2176,plain,
( v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f2175,f279]) ).
fof(f2177,plain,
( v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f2176,f278]) ).
fof(f2178,plain,
( v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f2177,f277]) ).
fof(f2179,plain,
( v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl33_1 ),
inference(forward_subsumption_resolution,[],[f2178,f275]) ).
fof(f2180,plain,
( v2_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl33_1 ),
inference(forward_demodulation,[],[f2179,f2062]) ).
fof(f2188,plain,
( v1_filter_0(k7_filter_2(sK2,u1_struct_0(sK2)),k1_lattice2(sK2))
| ~ spl33_2
| ~ spl33_3 ),
inference(superposition,[],[f2102,f2174]) ).
fof(f2203,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(superposition,[],[f410,f1538]) ).
fof(f2210,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f2203,f583]) ).
fof(f2213,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f2210,f1581]) ).
fof(f2216,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f2213,f585]) ).
fof(f2219,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f2216,f1593]) ).
fof(f2221,definition,
( spl33_112
<=> m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_112])],[avatar_definition]) ).
fof(f2223,plain,
( ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| spl33_112 ),
inference(avatar_component_clause,[],[f2221]) ).
fof(f2225,definition,
( spl33_113
<=> m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl33_113])],[avatar_definition]) ).
fof(f2227,plain,
( ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| spl33_113 ),
inference(avatar_component_clause,[],[f2225]) ).
fof(f2237,definition,
( spl33_116
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl33_116])],[avatar_definition]) ).
fof(f2238,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0 )
| ~ spl33_116 ),
inference(avatar_component_clause,[],[f2237]) ).
fof(f2239,plain,
( ~ spl33_112
| ~ spl33_113
| spl33_116 ),
inference(avatar_split_clause,[],[f2219,f2237,f2225,f2221]) ).
fof(f2740,plain,
( sK3 = k7_filter_2(sK2,sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f1920,f321]) ).
fof(f2747,plain,
( sK3 = k7_filter_2(sK2,sK3)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2740,f278]) ).
fof(f2750,plain,
( sK3 = k7_filter_2(sK2,sK3)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2747,f277]) ).
fof(f2752,plain,
sK3 = k7_filter_2(sK2,sK3),
inference(forward_subsumption_resolution,[],[f2750,f275]) ).
fof(f2754,plain,
( u1_struct_0(sK2) = k7_filter_2(sK2,u1_struct_0(sK2))
| ~ spl33_3 ),
inference(forward_demodulation,[],[f2752,f2174]) ).
fof(f3682,plain,
( m1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_80
| ~ spl33_91
| ~ spl33_94 ),
inference(resolution,[],[f2025,f503]) ).
fof(f3686,plain,
( m1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_80
| spl33_82
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_subsumption_resolution,[],[f3682,f1789]) ).
fof(f3688,plain,
( m1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_subsumption_resolution,[],[f3686,f1785]) ).
fof(f3690,plain,
( m1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_subsumption_resolution,[],[f3688,f1728]) ).
fof(f5074,plain,
( ~ l2_lattices(sK2)
| spl33_112 ),
inference(resolution,[],[f2223,f1592]) ).
fof(f5075,plain,
( $false
| spl33_112 ),
inference(forward_subsumption_resolution,[],[f5074,f549]) ).
fof(f5076,plain,
spl33_112,
inference(avatar_contradiction_clause,[],[f5075]) ).
fof(f5097,plain,
( ~ l1_lattices(sK2)
| spl33_113 ),
inference(resolution,[],[f2227,f1578]) ).
fof(f5098,plain,
( $false
| spl33_113 ),
inference(forward_subsumption_resolution,[],[f5097,f559]) ).
fof(f5099,plain,
spl33_113,
inference(avatar_contradiction_clause,[],[f5098]) ).
fof(f5128,plain,
( k1_lattice2(sK2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK2))
| ~ spl33_79
| ~ spl33_116 ),
inference(superposition,[],[f2238,f1733]) ).
fof(f5129,plain,
( u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK2))
| ~ spl33_79
| ~ spl33_116 ),
inference(trivial_inequality_removal,[],[f5128]) ).
fof(f5248,plain,
( ~ v1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ m1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_94 ),
inference(superposition,[],[f523,f1850]) ).
fof(f5249,plain,
( ~ v1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_subsumption_resolution,[],[f5248,f3690]) ).
fof(f5250,plain,
( ~ v1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_subsumption_resolution,[],[f5249,f1789]) ).
fof(f5251,plain,
( ~ v1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_subsumption_resolution,[],[f5250,f1785]) ).
fof(f5252,plain,
( ~ v1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_subsumption_resolution,[],[f5251,f1808]) ).
fof(f5253,plain,
( ~ v1_filter_0(u1_struct_0(k1_lattice2(sK2)),k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_91
| ~ spl33_94 ),
inference(forward_subsumption_resolution,[],[f5252,f1728]) ).
fof(f5254,plain,
( ~ v1_filter_0(u1_struct_0(sK2),k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_79
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_91
| ~ spl33_94
| ~ spl33_116 ),
inference(forward_demodulation,[],[f5253,f5129]) ).
fof(f5273,plain,
( v1_filter_0(u1_struct_0(sK2),k1_lattice2(sK2))
| ~ spl33_2
| ~ spl33_3 ),
inference(superposition,[],[f2188,f2754]) ).
fof(f5275,plain,
( $false
| ~ spl33_2
| ~ spl33_3
| ~ spl33_78
| ~ spl33_79
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_91
| ~ spl33_94
| ~ spl33_116 ),
inference(forward_subsumption_resolution,[],[f5273,f5254]) ).
fof(f5276,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_78
| ~ spl33_79
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_91
| ~ spl33_94
| ~ spl33_116 ),
inference(avatar_contradiction_clause,[],[f5275]) ).
fof(f5277,plain,
( sK3 != u1_struct_0(sK2)
| spl33_3 ),
inference(forward_demodulation,[],[f540,f1548]) ).
fof(f5283,plain,
( ~ v1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f2166,f534]) ).
fof(f5284,plain,
( v2_filter_0(sK3,k1_lattice2(sK2))
| ~ spl33_1 ),
inference(forward_demodulation,[],[f2180,f2752]) ).
fof(f5288,plain,
( ~ v1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f5283,f279]) ).
fof(f5289,plain,
( ~ v1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f5288,f278]) ).
fof(f5290,plain,
( ~ v1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f5289,f277]) ).
fof(f5291,plain,
( ~ v1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f5290,f275]) ).
fof(f5292,plain,
( ~ v1_filter_0(sK3,k1_lattice2(sK2))
| spl33_2 ),
inference(forward_demodulation,[],[f5291,f2752]) ).
fof(f5293,plain,
( sK3 = k1_filter_0(k1_lattice2(sK2))
| v1_filter_0(sK3,k1_lattice2(sK2))
| ~ m1_filter_0(sK3,k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_1 ),
inference(resolution,[],[f5284,f516]) ).
fof(f5294,plain,
( sK3 = k1_filter_0(k1_lattice2(sK2))
| ~ m1_filter_0(sK3,k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_1
| spl33_2 ),
inference(forward_subsumption_resolution,[],[f5293,f5292]) ).
fof(f5295,plain,
( sK3 = k1_filter_0(k1_lattice2(sK2))
| ~ m1_filter_0(sK3,k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_1
| spl33_2
| spl33_82 ),
inference(forward_subsumption_resolution,[],[f5294,f1789]) ).
fof(f5296,plain,
( sK3 = k1_filter_0(k1_lattice2(sK2))
| ~ m1_filter_0(sK3,k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_1
| spl33_2
| ~ spl33_81
| spl33_82 ),
inference(forward_subsumption_resolution,[],[f5295,f1785]) ).
fof(f5297,plain,
( sK3 = k1_filter_0(k1_lattice2(sK2))
| ~ m1_filter_0(sK3,k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl33_1
| spl33_2
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f5296,f1808]) ).
fof(f5298,plain,
( sK3 = k1_filter_0(k1_lattice2(sK2))
| ~ m1_filter_0(sK3,k1_lattice2(sK2))
| ~ spl33_1
| spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(forward_subsumption_resolution,[],[f5297,f1728]) ).
fof(f5299,plain,
( sK3 = u1_struct_0(k1_lattice2(sK2))
| ~ m1_filter_0(sK3,k1_lattice2(sK2))
| ~ spl33_1
| spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_94 ),
inference(forward_demodulation,[],[f5298,f1850]) ).
fof(f5300,plain,
( sK3 = u1_struct_0(sK2)
| ~ m1_filter_0(sK3,k1_lattice2(sK2))
| ~ spl33_1
| spl33_2
| ~ spl33_78
| ~ spl33_79
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_94
| ~ spl33_116 ),
inference(forward_demodulation,[],[f5299,f5129]) ).
fof(f5301,plain,
( ~ m1_filter_0(sK3,k1_lattice2(sK2))
| ~ spl33_1
| spl33_2
| spl33_3
| ~ spl33_78
| ~ spl33_79
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_94
| ~ spl33_116 ),
inference(forward_subsumption_resolution,[],[f5300,f5277]) ).
fof(f5312,plain,
( m1_filter_0(sK3,k1_lattice2(sK2))
| ~ spl33_78
| ~ spl33_81
| spl33_82 ),
inference(superposition,[],[f2156,f2752]) ).
fof(f5315,plain,
( $false
| ~ spl33_1
| spl33_2
| spl33_3
| ~ spl33_78
| ~ spl33_79
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_94
| ~ spl33_116 ),
inference(forward_subsumption_resolution,[],[f5312,f5301]) ).
fof(f5316,plain,
( ~ spl33_1
| spl33_2
| spl33_3
| ~ spl33_78
| ~ spl33_79
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_94
| ~ spl33_116 ),
inference(avatar_contradiction_clause,[],[f5315]) ).
cnf(s1,plain,
( spl33_1
| spl33_2 ),
inference(sat_conversion,[],[f536]) ).
cnf(s2,plain,
( spl33_2
| ~ spl33_3 ),
inference(sat_conversion,[],[f541]) ).
cnf(s3,plain,
( ~ spl33_1
| ~ spl33_2
| spl33_3 ),
inference(sat_conversion,[],[f542]) ).
cnf(s50,plain,
( ~ spl33_78
| spl33_79 ),
inference(sat_conversion,[],[f1734]) ).
cnf(s51,plain,
spl33_78,
inference(sat_conversion,[],[f1737]) ).
cnf(s52,plain,
( ~ spl33_78
| spl33_80
| ~ spl33_81
| spl33_82 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s61,plain,
( ~ spl33_78
| ~ spl33_81
| spl33_82
| spl33_91 ),
inference(sat_conversion,[],[f1836]) ).
cnf(s64,plain,
( ~ spl33_78
| ~ spl33_81
| spl33_82
| spl33_94 ),
inference(sat_conversion,[],[f1851]) ).
cnf(s87,plain,
spl33_81,
inference(sat_conversion,[],[f1991]) ).
cnf(s90,plain,
~ spl33_82,
inference(sat_conversion,[],[f2023]) ).
cnf(s91,plain,
spl33_86,
inference(sat_conversion,[],[f2067]) ).
cnf(s93,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_78
| ~ spl33_81
| spl33_82
| ~ spl33_86 ),
inference(sat_conversion,[],[f2173]) ).
cnf(s96,plain,
( ~ spl33_112
| ~ spl33_113
| spl33_116 ),
inference(sat_conversion,[],[f2239]) ).
cnf(s293,plain,
spl33_112,
inference(sat_conversion,[],[f5076]) ).
cnf(s294,plain,
spl33_113,
inference(sat_conversion,[],[f5099]) ).
cnf(s295,plain,
( ~ spl33_2
| ~ spl33_3
| ~ spl33_78
| ~ spl33_79
| ~ spl33_80
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_91
| ~ spl33_94
| ~ spl33_116 ),
inference(sat_conversion,[],[f5276]) ).
cnf(s296,plain,
( ~ spl33_1
| spl33_2
| spl33_3
| ~ spl33_78
| ~ spl33_79
| ~ spl33_81
| spl33_82
| ~ spl33_86
| ~ spl33_94
| ~ spl33_116 ),
inference(sat_conversion,[],[f5316]) ).
cnf(s297,plain,
spl33_116,
inference(rat,[],[s96,s294,s293]) ).
cnf(s319,plain,
( ~ spl33_78
| spl33_94 ),
inference(rat,[],[s64,s90,s87]) ).
cnf(s322,plain,
( ~ spl33_78
| spl33_91 ),
inference(rat,[],[s61,s90,s87]) ).
cnf(s330,plain,
( ~ spl33_78
| spl33_80 ),
inference(rat,[],[s52,s90,s87]) ).
cnf(s346,plain,
spl33_94,
inference(rat,[],[s319,s51]) ).
cnf(s349,plain,
spl33_91,
inference(rat,[],[s322,s51]) ).
cnf(s357,plain,
spl33_80,
inference(rat,[],[s330,s51]) ).
cnf(s470,plain,
spl33_79,
inference(rat,[],[s50,s51]) ).
cnf(s472,plain,
spl33_1,
inference(rat,[],[s1,s93,s51,s87,s90,s91]) ).
cnf(s473,plain,
spl33_2,
inference(rat,[],[s2,s296,s472,s51,s470,s87,s90,s91,s346,s297]) ).
cnf(s474,plain,
~ spl33_3,
inference(rat,[],[s295,s297,s346,s349,s91,s90,s87,s357,s470,s51,s473]) ).
cnf(s475,plain,
$false,
inference(rat,[],[s3,s472,s474,s473]) ).
fof(f5317,plain,
$false,
inference(avatar_sat_refutation,[],[s475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT322+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n006.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 14:36:11 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.38/0.92 % (3044312)Will run a generic schedule for satisfiability detection.
% 2.38/0.92 % (3044317)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1256930373_2999 on theBenchmark for (2999ds/0Mi)
% 2.38/0.92 % (3044318)% WARNING: option uhcvi not known.
% 2.38/0.92 % TRYING [1]
% 2.38/0.92 % TRYING [2]
% 2.38/0.92 % (3044318)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=771385609:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.38/0.92 % TRYING [3]
% 2.38/0.92 % (3044320)dis+10_1_sil=32000:sp=arity:random_seed=2834650883:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.38/0.92 % (3044319)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3976727026:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.38/0.92 % (3044321)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2205139468:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.38/0.92 % (3044323)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2757239098:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.38/0.92 % (3044322)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3899659383:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.38/0.92 % TRYING [4]
% 2.38/0.92 % TRYING [5]
% 2.38/0.92 % TRYING [6]
% 2.38/0.92 % (3044320)Instruction limit reached!
% 2.38/0.92 % (3044320)------------------------------
% 2.38/0.92 % (3044320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.92 % (3044320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.92 % (3044320)CaDiCaL version: 2.1.3
% 2.38/0.92 % (3044320)Termination reason: Instruction limit
% 2.38/0.92 % (3044320)Termination phase: Saturation
% 2.38/0.92 % (3044320)Time elapsed: 0.066 s
% 2.38/0.92 % (3044320)Peak memory usage: 13 MB
% 2.38/0.92 % (3044320)Instructions burned: 104 (million)
% 2.38/0.92 % (3044322)Instruction limit reached!
% 2.38/0.92 % (3044322)------------------------------
% 2.38/0.92 % (3044322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.92 % (3044322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.92 % (3044322)CaDiCaL version: 2.1.3
% 2.38/0.92 % (3044322)Termination reason: Instruction limit
% 2.38/0.92 % (3044322)Termination phase: Saturation
% 2.38/0.92 % (3044322)Time elapsed: 0.068 s
% 2.38/0.92 % (3044322)Peak memory usage: 14 MB
% 2.38/0.92 % (3044322)Instructions burned: 133 (million)
% 2.38/0.92 % (3044321)Instruction limit reached!
% 2.38/0.92 % (3044321)------------------------------
% 2.38/0.92 % (3044321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.92 % (3044321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.92 % (3044321)CaDiCaL version: 2.1.3
% 2.38/0.92 % (3044321)Termination reason: Instruction limit
% 2.38/0.92 % (3044321)Termination phase: Saturation
% 2.38/0.92 % (3044321)Time elapsed: 0.074 s
% 2.38/0.92 % (3044321)Peak memory usage: 14 MB
% 2.38/0.92 % (3044321)Instructions burned: 117 (million)
% 2.38/0.92 % (3044331)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3068330991:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.38/0.92 % (3044332)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4013023513:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.38/0.92 % (3044333)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1232844717:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.38/0.92 % TRYING [1]
% 2.38/0.92 % TRYING [2]
% 2.38/0.92 % TRYING [3]
% 2.38/0.92 % (3044323)Instruction limit reached!
% 2.38/0.92 % (3044323)------------------------------
% 2.38/0.92 % (3044323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.92 % (3044323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.92 % (3044323)CaDiCaL version: 2.1.3
% 2.38/0.92 % (3044323)Termination reason: Instruction limit
% 2.38/0.92 % (3044323)Termination phase: Saturation
% 2.38/0.92 % (3044323)Time elapsed: 0.105 s
% 2.38/0.92 % (3044323)Peak memory usage: 15 MB
% 2.38/0.92 % (3044323)Instructions burned: 159 (million)
% 2.38/0.92 % TRYING [7]
% 2.38/0.92 % TRYING [4]
% 2.38/0.92 % (3044337)ott-21_1_sil=16000:fs=off:random_seed=4217092364:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.38/0.92 % (3044332)Instruction limit reached!
% 2.38/0.92 % (3044332)------------------------------
% 2.38/0.92 % (3044332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.92 % (3044332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.92 % (3044332)CaDiCaL version: 2.1.3
% 2.38/0.92 % (3044332)Termination reason: Instruction limit
% 2.38/0.92 % (3044332)Termination phase: Saturation
% 2.38/0.92 % (3044332)Time elapsed: 0.076 s
% 2.38/0.92 % (3044332)Peak memory usage: 14 MB
% 2.38/0.92 % (3044332)Instructions burned: 131 (million)
% 2.38/0.92 % (3044339)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1367216601:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.38/0.92 % TRYING [5]
% 2.38/0.92 % (3044337)Instruction limit reached!
% 2.38/0.92 % (3044337)------------------------------
% 2.38/0.92 % (3044337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.92 % (3044337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.92 % (3044337)CaDiCaL version: 2.1.3
% 2.38/0.92 % (3044337)Termination reason: Instruction limit
% 2.38/0.92 % (3044337)Termination phase: Saturation
% 2.38/0.92 % (3044337)Time elapsed: 0.096 s
% 2.38/0.92 % (3044337)Peak memory usage: 13 MB
% 2.38/0.92 % (3044337)Instructions burned: 181 (million)
% 2.38/0.92 % (3044341)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3702248009:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.38/0.92 % TRYING [1]
% 2.38/0.92 % TRYING [2]
% 2.38/0.92 % TRYING [3]
% 2.38/0.92 % TRYING [4]
% 2.38/0.92 % (3044331)Instruction limit reached!
% 2.38/0.92 % (3044331)------------------------------
% 2.38/0.92 % (3044331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.92 % (3044331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.92 % (3044331)CaDiCaL version: 2.1.3
% 2.38/0.92 % (3044331)Termination reason: Instruction limit
% 2.38/0.92 % (3044331)Termination phase: Finite model building constraint generation
% 2.38/0.92 % (3044331)Time elapsed: 0.248 s
% 2.38/0.92 % (3044331)Peak memory usage: 30 MB
% 2.38/0.92 % (3044331)Instructions burned: 714 (million)
% 2.38/0.92 % (3044343)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2862968787:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.38/0.92 % TRYING [5]
% 2.38/0.92 % TRYING [8]
% 2.38/0.92 % (3044343) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3044312-3044343"...
% 2.38/0.92 % (3044318) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3044312-3044318"...
% 2.38/0.92 % (3044343)...printing done.
% 2.38/0.92 % (3044343)Refutation found. Thanks to Tanya!
% 2.38/0.92 % SZS status Theorem for theBenchmark
% 2.38/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.92 % (3044343)------------------------------
% 2.38/0.92 % (3044343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.38/0.92 % (3044343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.38/0.92 % (3044343)CaDiCaL version: 2.1.3
% 2.38/0.92 % (3044343)Termination reason: Refutation
% 2.38/0.92 % (3044343)Time elapsed: 0.080 s
% 2.38/0.92 % (3044343)Peak memory usage: 15 MB
% 2.38/0.92 % (3044343)Instructions burned: 130 (million)
% 2.38/0.92 % (3044312)Success in time 0.484 s
% 2.38/0.92 % Vampire exiting
%------------------------------------------------------------------------------