TSTP Solution File: LAT322+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT322+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:35:16 EDT 2024
% Result : Theorem 46.11s 7.22s
% Output : CNFRefutation 46.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 29
% Syntax : Number of formulae : 318 ( 29 unt; 0 def)
% Number of atoms : 1491 ( 233 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1938 ( 765 ~; 857 |; 262 &)
% ( 15 <=>; 37 =>; 0 <=; 2 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 2 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 355 ( 6 sgn 188 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v1_filter_2(X1,X0)
& k17_filter_2(X0) != X1 )
<=> r2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v1_filter_2(X1,X0)
& k17_filter_2(X0) != X1 )
<=> r2_filter_2(X0,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> u1_struct_0(X0) = k1_filter_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] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(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] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f20,axiom,
! [X0,X1] :
( ( m2_filter_2(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f22,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(k1_filter_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_filter_0) ).
fof(f24,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f32,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f37,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f38,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(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)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f42,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f55,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f62,axiom,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(f66,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f67,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f85,axiom,
! [X0,X1] :
( ( m2_filter_2(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f87,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(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] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(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] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(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] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( v2_filter_0(X1,X0)
& k1_filter_0(X0) != X1 )
<=> v1_filter_0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_filter_0) ).
fof(f112,plain,
! [X0] :
( ( l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f62]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ( ( v1_filter_2(X1,X0)
& k17_filter_2(X0) != X1 )
<~> r2_filter_2(X0,X1) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
? [X0] :
( ? [X1] :
( ( ( v1_filter_2(X1,X0)
& k17_filter_2(X0) != X1 )
<~> r2_filter_2(X0,X1) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f118]) ).
fof(f139,plain,
! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f140,plain,
! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(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))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(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))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f145,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f144]) ).
fof(f148,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f149,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f148]) ).
fof(f152,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f153,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f152]) ).
fof(f156,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f161,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(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) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f168]) ).
fof(f171,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f172,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f183,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f184,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f183]) ).
fof(f193,plain,
! [X0] :
( ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f194,plain,
! [X0] :
( ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f193]) ).
fof(f201,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f202,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f201]) ).
fof(f203,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f203]) ).
fof(f210,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f211,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f210]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(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) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(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) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(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) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(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) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f222]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( ( v2_filter_0(X1,X0)
& k1_filter_0(X0) != X1 )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ( ( v2_filter_0(X1,X0)
& k1_filter_0(X0) != X1 )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f226]) ).
fof(f232,plain,
! [X0] :
( ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f233,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f194,f232]) ).
fof(f234,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f235,plain,
! [X0] :
( sP1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f202,f234]) ).
fof(f236,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| ~ v1_filter_2(X1,X0)
| k17_filter_2(X0) = X1 )
& ( r2_filter_2(X0,X1)
| ( v1_filter_2(X1,X0)
& k17_filter_2(X0) != X1 ) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f237,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| ~ v1_filter_2(X1,X0)
| k17_filter_2(X0) = X1 )
& ( r2_filter_2(X0,X1)
| ( v1_filter_2(X1,X0)
& k17_filter_2(X0) != X1 ) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
( ? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| ~ v1_filter_2(X1,X0)
| k17_filter_2(X0) = X1 )
& ( r2_filter_2(X0,X1)
| ( v1_filter_2(X1,X0)
& k17_filter_2(X0) != X1 ) )
& m2_filter_2(X1,X0) )
& l3_lattices(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ( ~ r2_filter_2(sK2,X1)
| ~ v1_filter_2(X1,sK2)
| k17_filter_2(sK2) = X1 )
& ( r2_filter_2(sK2,X1)
| ( v1_filter_2(X1,sK2)
& k17_filter_2(sK2) != X1 ) )
& m2_filter_2(X1,sK2) )
& l3_lattices(sK2)
& v17_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
( ? [X1] :
( ( ~ r2_filter_2(sK2,X1)
| ~ v1_filter_2(X1,sK2)
| k17_filter_2(sK2) = X1 )
& ( r2_filter_2(sK2,X1)
| ( v1_filter_2(X1,sK2)
& k17_filter_2(sK2) != X1 ) )
& m2_filter_2(X1,sK2) )
=> ( ( ~ r2_filter_2(sK2,sK3)
| ~ v1_filter_2(sK3,sK2)
| k17_filter_2(sK2) = sK3 )
& ( r2_filter_2(sK2,sK3)
| ( v1_filter_2(sK3,sK2)
& k17_filter_2(sK2) != sK3 ) )
& m2_filter_2(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
( ( ~ r2_filter_2(sK2,sK3)
| ~ v1_filter_2(sK3,sK2)
| k17_filter_2(sK2) = sK3 )
& ( r2_filter_2(sK2,sK3)
| ( v1_filter_2(sK3,sK2)
& k17_filter_2(sK2) != sK3 ) )
& m2_filter_2(sK3,sK2)
& l3_lattices(sK2)
& v17_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f237,f239,f238]) ).
fof(f263,plain,
! [X0] :
( ( v17_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f232]) ).
fof(f264,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f234]) ).
fof(f299,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f215]) ).
fof(f300,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(f301,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) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f302,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) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f303,plain,
! [X0] :
( ! [X1] :
( ( ( ( v2_filter_0(X1,X0)
& k1_filter_0(X0) != X1 )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| ~ v2_filter_0(X1,X0)
| k1_filter_0(X0) = X1 ) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f227]) ).
fof(f304,plain,
! [X0] :
( ! [X1] :
( ( ( ( v2_filter_0(X1,X0)
& k1_filter_0(X0) != X1 )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| ~ v2_filter_0(X1,X0)
| k1_filter_0(X0) = X1 ) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f303]) ).
fof(f305,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f240]) ).
fof(f306,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f240]) ).
fof(f307,plain,
v17_lattices(sK2),
inference(cnf_transformation,[],[f240]) ).
fof(f308,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f240]) ).
fof(f309,plain,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f240]) ).
fof(f310,plain,
( r2_filter_2(sK2,sK3)
| k17_filter_2(sK2) != sK3 ),
inference(cnf_transformation,[],[f240]) ).
fof(f311,plain,
( r2_filter_2(sK2,sK3)
| v1_filter_2(sK3,sK2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f312,plain,
( ~ r2_filter_2(sK2,sK3)
| ~ v1_filter_2(sK3,sK2)
| k17_filter_2(sK2) = sK3 ),
inference(cnf_transformation,[],[f240]) ).
fof(f313,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f349,plain,
! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f350,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f351,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f352,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f355,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f357,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f359,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f360,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f364,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f365,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f371,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f372,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f374,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f375,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,[],[f171]) ).
fof(f376,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(f377,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f378,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,[],[f172]) ).
fof(f379,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(f392,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f405,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f413,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f419,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f420,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f436,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f437,plain,
! [X0] :
( sP1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f438,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f531,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f533,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f535,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f540,plain,
! [X0,X1] :
( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f541,plain,
! [X0,X1] :
( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f543,plain,
! [X0,X1] :
( v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ v1_filter_2(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f544,plain,
! [X0,X1] :
( v1_filter_2(X1,X0)
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f546,plain,
! [X0,X1] :
( v1_filter_0(X1,X0)
| ~ v2_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f547,plain,
! [X0,X1] :
( k1_filter_0(X0) != X1
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f548,plain,
! [X0,X1] :
( v2_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f553,plain,
! [X0] :
( ~ v1_filter_0(k1_filter_0(X0),X0)
| ~ m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f547]) ).
cnf(c_49,negated_conjecture,
( ~ r2_filter_2(sK2,sK3)
| ~ v1_filter_2(sK3,sK2)
| k17_filter_2(sK2) = sK3 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_50,negated_conjecture,
( r2_filter_2(sK2,sK3)
| v1_filter_2(sK3,sK2) ),
inference(cnf_transformation,[],[f311]) ).
cnf(c_51,negated_conjecture,
( k17_filter_2(sK2) != sK3
| r2_filter_2(sK2,sK3) ),
inference(cnf_transformation,[],[f310]) ).
cnf(c_52,negated_conjecture,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f309]) ).
cnf(c_53,negated_conjecture,
l3_lattices(sK2),
inference(cnf_transformation,[],[f308]) ).
cnf(c_54,negated_conjecture,
v17_lattices(sK2),
inference(cnf_transformation,[],[f307]) ).
cnf(c_55,negated_conjecture,
v10_lattices(sK2),
inference(cnf_transformation,[],[f306]) ).
cnf(c_56,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f305]) ).
cnf(c_57,plain,
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f313]) ).
cnf(c_83,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f349]) ).
cnf(c_84,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) ),
inference(cnf_transformation,[],[f350]) ).
cnf(c_85,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f351]) ).
cnf(c_86,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_89,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(k15_filter_2(X1,X0),k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_91,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_filter_0(k1_filter_0(X0),X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f357]) ).
cnf(c_93,plain,
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_94,plain,
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f359]) ).
cnf(c_98,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f365]) ).
cnf(c_99,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_104,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_106,plain,
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_108,plain,
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_109,plain,
( ~ 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,[],[f375]) ).
cnf(c_110,plain,
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_111,plain,
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f379]) ).
cnf(c_112,plain,
( ~ 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,[],[f378]) ).
cnf(c_113,plain,
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_127,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_139,plain,
( ~ sP0(X0)
| v17_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f419]) ).
cnf(c_145,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_153,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_154,plain,
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f420]) ).
cnf(c_162,plain,
( ~ sP1(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f436]) ).
cnf(c_171,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f437]) ).
cnf(c_174,plain,
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| X0 = X3 ),
inference(cnf_transformation,[],[f438]) ).
cnf(c_265,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = k15_filter_2(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f531]) ).
cnf(c_268,plain,
( ~ m1_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f533]) ).
cnf(c_270,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f535]) ).
cnf(c_274,plain,
( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r2_filter_2(X0,X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f541]) ).
cnf(c_275,plain,
( ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f540]) ).
cnf(c_277,plain,
( ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v1_filter_2(X1,X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f544]) ).
cnf(c_278,plain,
( ~ v1_filter_2(X0,X1)
| ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v2_filter_0(k15_filter_2(X1,X0),k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f543]) ).
cnf(c_280,plain,
( ~ m1_filter_0(X0,X1)
| ~ v1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v2_filter_0(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f548]) ).
cnf(c_281,plain,
( ~ m1_filter_0(k1_filter_0(X0),X0)
| ~ v1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f553]) ).
cnf(c_282,plain,
( ~ m1_filter_0(X0,X1)
| ~ v2_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| k1_filter_0(X1) = X0
| v1_filter_0(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f546]) ).
cnf(c_424,plain,
( ~ v1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_281,c_91,c_281]) ).
cnf(c_431,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_270]) ).
cnf(c_433,plain,
( r2_filter_2(sK2,sK3)
| v1_filter_2(sK3,sK2) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
cnf(c_435,plain,
( r2_filter_2(sK2,sK3)
| k17_filter_2(sK2) != sK3 ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_436,plain,
( k17_filter_2(sK2) != sK3
| r2_filter_2(sK2,sK3) ),
inference(renaming,[status(thm)],[c_435]) ).
cnf(c_445,plain,
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_94]) ).
cnf(c_447,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
cnf(c_449,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
cnf(c_475,plain,
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_108]) ).
cnf(c_477,plain,
( ~ 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(prop_impl_just,[status(thm)],[c_109]) ).
cnf(c_479,plain,
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_110]) ).
cnf(c_485,plain,
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_111]) ).
cnf(c_487,plain,
( ~ 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(prop_impl_just,[status(thm)],[c_112]) ).
cnf(c_489,plain,
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_113]) ).
cnf(c_509,plain,
( ~ sP0(X0)
| v17_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_139]) ).
cnf(c_539,plain,
( ~ sP1(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_162]) ).
cnf(c_2903,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X1)) ),
inference(resolution_lifted,[status(thm)],[c_447,c_479]) ).
cnf(c_2904,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(unflattening,[status(thm)],[c_2903]) ).
cnf(c_2912,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_447,c_477]) ).
cnf(c_2913,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_2912]) ).
cnf(c_2921,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_447,c_475]) ).
cnf(c_2922,plain,
( ~ l3_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_2921]) ).
cnf(c_2971,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X1)) ),
inference(resolution_lifted,[status(thm)],[c_449,c_489]) ).
cnf(c_2972,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(unflattening,[status(thm)],[c_2971]) ).
cnf(c_2980,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_449,c_487]) ).
cnf(c_2981,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_2980]) ).
cnf(c_2989,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_449,c_485]) ).
cnf(c_2990,plain,
( ~ l3_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_2989]) ).
cnf(c_3041,plain,
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
| u1_struct_0(X0) != X3
| u1_lattices(X0) != X1
| ~ l3_lattices(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_431,c_2922]) ).
cnf(c_3042,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_3041]) ).
cnf(c_3059,plain,
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
| u1_struct_0(X0) != X3
| u2_lattices(X0) != X1
| ~ l3_lattices(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_431,c_2990]) ).
cnf(c_3060,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_3059]) ).
cnf(c_3178,plain,
( X0 != sK2
| X1 != sK3
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ r2_filter_2(sK2,sK3)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k17_filter_2(sK2) = sK3
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_49,c_277]) ).
cnf(c_3179,plain,
( ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ r2_filter_2(sK2,sK3)
| ~ m2_filter_2(sK3,sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| k17_filter_2(sK2) = sK3
| v3_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_3178]) ).
cnf(c_3180,plain,
( k17_filter_2(sK2) = sK3
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ r2_filter_2(sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_3179,c_55,c_53,c_56,c_52,c_3179]) ).
cnf(c_3181,plain,
( ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ r2_filter_2(sK2,sK3)
| k17_filter_2(sK2) = sK3 ),
inference(renaming,[status(thm)],[c_3180]) ).
cnf(c_3191,plain,
( X0 != sK2
| X1 != sK3
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| r2_filter_2(sK2,sK3)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_433,c_278]) ).
cnf(c_3192,plain,
( ~ m2_filter_2(sK3,sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| r2_filter_2(sK2,sK3)
| v3_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_3191]) ).
cnf(c_3193,plain,
( r2_filter_2(sK2,sK3)
| v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_3192,c_55,c_53,c_56,c_52,c_3192]) ).
cnf(c_3194,plain,
( v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| r2_filter_2(sK2,sK3) ),
inference(renaming,[status(thm)],[c_3193]) ).
cnf(c_3208,plain,
( X0 != X1
| X2 != X3
| ~ m2_filter_2(X0,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X2)
| v3_struct_0(X3) ),
inference(resolution_lifted,[status(thm)],[c_104,c_106]) ).
cnf(c_3209,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_3208]) ).
cnf(c_3343,plain,
( k1_lattice2(X0) != X1
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1 ),
inference(resolution_lifted,[status(thm)],[c_57,c_445]) ).
cnf(c_3344,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(unflattening,[status(thm)],[c_3343]) ).
cnf(c_3429,plain,
( k15_filter_2(sK2,sK3) != X0
| k1_lattice2(sK2) != X1
| ~ m1_filter_0(X0,X1)
| ~ v1_filter_0(X0,X1)
| ~ r2_filter_2(sK2,sK3)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| k17_filter_2(sK2) = sK3
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_280,c_3181]) ).
cnf(c_3430,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ r2_filter_2(sK2,sK3)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_3429]) ).
cnf(c_3455,plain,
( k15_filter_2(sK2,sK3) != X0
| k1_lattice2(sK2) != X1
| ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| k1_filter_0(X1) = X0
| v1_filter_0(X0,X1)
| r2_filter_2(sK2,sK3)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_282,c_3194]) ).
cnf(c_3456,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| r2_filter_2(sK2,sK3)
| v3_struct_0(k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_3455]) ).
cnf(c_4024,plain,
( X0 != sK2
| X1 != sK3
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_3456,c_275]) ).
cnf(c_4025,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| v3_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_4024]) ).
cnf(c_4026,plain,
( v3_struct_0(k1_lattice2(sK2))
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4025,c_55,c_53,c_56,c_52,c_4025]) ).
cnf(c_4027,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(renaming,[status(thm)],[c_4026]) ).
cnf(c_4049,plain,
( k17_filter_2(sK2) != sK3
| X0 != sK2
| X1 != sK3
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_436,c_275]) ).
cnf(c_4050,plain,
( k17_filter_2(sK2) != sK3
| ~ m2_filter_2(sK3,sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_4049]) ).
cnf(c_4051,plain,
( v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| k17_filter_2(sK2) != sK3 ),
inference(global_subsumption_just,[status(thm)],[c_4050,c_55,c_53,c_56,c_52,c_4050]) ).
cnf(c_4052,plain,
( k17_filter_2(sK2) != sK3
| v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(renaming,[status(thm)],[c_4051]) ).
cnf(c_4059,plain,
( X0 != sK2
| X1 != sK3
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_3430,c_274]) ).
cnf(c_4060,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2))
| v3_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_4059]) ).
cnf(c_4061,plain,
( v3_struct_0(k1_lattice2(sK2))
| k17_filter_2(sK2) = sK3
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_4060,c_55,c_53,c_56,c_52,c_4060]) ).
cnf(c_4062,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2)) ),
inference(renaming,[status(thm)],[c_4061]) ).
cnf(c_4101,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2)) ),
inference(resolution,[status(thm)],[c_4027,c_4062]) ).
cnf(c_4123,plain,
( k15_filter_2(sK2,sK3) != k1_filter_0(X0)
| k17_filter_2(sK2) != sK3
| k1_lattice2(sK2) != X0
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_424,c_4052]) ).
cnf(c_4124,plain,
( k15_filter_2(sK2,sK3) != k1_filter_0(k1_lattice2(sK2))
| k17_filter_2(sK2) != sK3
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_4123]) ).
cnf(c_4210,plain,
( X0 != X1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_171,c_539]) ).
cnf(c_4211,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_4210]) ).
cnf(c_4402,plain,
( X0 != sK2
| X1 != sK3
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_3209]) ).
cnf(c_4403,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_4402]) ).
cnf(c_4404,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(global_subsumption_just,[status(thm)],[c_4403,c_55,c_53,c_56,c_4403]) ).
cnf(c_4409,plain,
( X0 != sK2
| X1 != sK3
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_265]) ).
cnf(c_4410,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| k7_filter_2(sK2,sK3) = k15_filter_2(sK2,sK3)
| v3_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_4409]) ).
cnf(c_4411,plain,
k7_filter_2(sK2,sK3) = k15_filter_2(sK2,sK3),
inference(global_subsumption_just,[status(thm)],[c_4410,c_55,c_53,c_56,c_4410]) ).
cnf(c_4423,plain,
( X0 != sK2
| X1 != sK3
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_52,c_89]) ).
cnf(c_4424,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(sK2) ),
inference(unflattening,[status(thm)],[c_4423]) ).
cnf(c_4425,plain,
m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2)),
inference(global_subsumption_just,[status(thm)],[c_4424,c_55,c_53,c_56,c_4424]) ).
cnf(c_4696,plain,
( k15_filter_2(sK2,sK3) != X0
| k1_lattice2(sK2) != X1
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(X0,X1)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_268,c_4425]) ).
cnf(c_4697,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(unflattening,[status(thm)],[c_4696]) ).
cnf(c_4863,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4101,c_4697]) ).
cnf(c_5210,plain,
( X0 != sK2
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(resolution_lifted,[status(thm)],[c_54,c_154]) ).
cnf(c_5211,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| sP0(sK2) ),
inference(unflattening,[status(thm)],[c_5210]) ).
cnf(c_5218,plain,
( k1_lattice2(sK2) != sK2
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_4863]) ).
cnf(c_5237,plain,
( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) != sK3
| k1_lattice2(sK2) != sK2
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) ),
inference(resolution_lifted,[status(thm)],[c_54,c_4124]) ).
cnf(c_5314,plain,
( k1_lattice2(X0) != k1_lattice2(sK2)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ sP0(X0)
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2)) ),
inference(resolution_lifted,[status(thm)],[c_509,c_4863]) ).
cnf(c_5337,plain,
( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3)
| k1_lattice2(X0) != k1_lattice2(sK2)
| k17_filter_2(sK2) != sK3
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ sP0(X0)
| v3_struct_0(k1_lattice2(sK2)) ),
inference(resolution_lifted,[status(thm)],[c_509,c_4124]) ).
cnf(c_7314,plain,
( ~ sP0(X0)
| k1_lattice2(X0) != k1_lattice2(sK2)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_5337]) ).
cnf(c_7315,plain,
( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) != sK3
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5337]) ).
cnf(c_7316,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) = sK3
| v3_struct_0(k1_lattice2(sK2))
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_5314]) ).
cnf(c_7317,plain,
X0 = X0,
theory(equality) ).
cnf(c_9300,plain,
( ~ sP0(sK2)
| v10_lattices(k1_lattice2(sK2)) ),
inference(instantiation,[status(thm)],[c_145]) ).
cnf(c_9854,plain,
( ~ l3_lattices(sK2)
| l3_lattices(k1_lattice2(sK2)) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_12931,plain,
( ~ v3_struct_0(k1_lattice2(sK2))
| ~ sP0(sK2) ),
inference(instantiation,[status(thm)],[c_153]) ).
cnf(c_12982,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_4211,c_83]) ).
cnf(c_13542,plain,
( k1_lattice2(sK2) != k1_lattice2(sK2)
| ~ sP0(sK2)
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_7314]) ).
cnf(c_13543,plain,
k1_lattice2(sK2) = k1_lattice2(sK2),
inference(instantiation,[status(thm)],[c_7317]) ).
cnf(c_14937,plain,
( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) != sK3 ),
inference(global_subsumption_just,[status(thm)],[c_5237,c_55,c_53,c_56,c_5211,c_7315,c_9300,c_9854,c_12931,c_13542,c_13543]) ).
cnf(c_15155,plain,
g3_lattices(u1_struct_0(sK2),u1_lattices(sK2),u2_lattices(sK2)) = k1_lattice2(sK2),
inference(superposition,[status(thm)],[c_53,c_84]) ).
cnf(c_15230,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(superposition,[status(thm)],[c_94,c_57]) ).
cnf(c_15433,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| ~ m1_relset_1(u2_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_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| u1_struct_0(sK2) = X0 ),
inference(superposition,[status(thm)],[c_15155,c_174]) ).
cnf(c_16181,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_4211,c_83]) ).
cnf(c_16475,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15230,c_93,c_3344]) ).
cnf(c_16479,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2))) = k1_lattice2(sK2),
inference(superposition,[status(thm)],[c_53,c_16475]) ).
cnf(c_16526,plain,
( ~ m1_relset_1(u2_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_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_16479,c_15433]) ).
cnf(c_17022,plain,
( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_16181,c_93,c_127,c_12982]) ).
cnf(c_17023,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(renaming,[status(thm)],[c_17022]) ).
cnf(c_23905,plain,
( k17_filter_2(sK2) = sK3
| k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_5218,c_55,c_53,c_56,c_5211,c_7316,c_9300,c_9854,c_12931,c_13542,c_13543]) ).
cnf(c_23906,plain,
( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) = sK3 ),
inference(renaming,[status(thm)],[c_23905]) ).
cnf(c_23907,plain,
( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3)
| k17_filter_2(sK2) != sK3 ),
inference(global_subsumption_just,[status(thm)],[c_5237,c_14937]) ).
cnf(c_24124,plain,
g3_lattices(u1_struct_0(sK2),u1_lattices(sK2),u2_lattices(sK2)) = k1_lattice2(sK2),
inference(superposition,[status(thm)],[c_53,c_84]) ).
cnf(c_24125,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0))) = k1_lattice2(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_93,c_84]) ).
cnf(c_24138,plain,
( ~ l3_lattices(sK2)
| k17_filter_2(sK2) = u1_struct_0(sK2)
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_55,c_86]) ).
cnf(c_24150,plain,
k17_filter_2(sK2) = u1_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_24138,c_56,c_53]) ).
cnf(c_24171,plain,
( k1_filter_0(k1_lattice2(sK2)) != k15_filter_2(sK2,sK3)
| u1_struct_0(sK2) != sK3 ),
inference(demodulation,[status(thm)],[c_23907,c_24150]) ).
cnf(c_24172,plain,
( k1_filter_0(k1_lattice2(sK2)) = k15_filter_2(sK2,sK3)
| u1_struct_0(sK2) = sK3 ),
inference(demodulation,[status(thm)],[c_23906,c_24150]) ).
cnf(c_24225,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| k7_filter_2(sK2,sK3) = sK3
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_4404,c_85]) ).
cnf(c_24229,plain,
k7_filter_2(sK2,sK3) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_24225,c_56,c_55,c_53]) ).
cnf(c_24264,plain,
k15_filter_2(sK2,sK3) = sK3,
inference(demodulation,[status(thm)],[c_4411,c_24229]) ).
cnf(c_24274,plain,
( k1_filter_0(k1_lattice2(sK2)) != sK3
| u1_struct_0(sK2) != sK3 ),
inference(demodulation,[status(thm)],[c_24171,c_24264]) ).
cnf(c_24275,plain,
( k1_filter_0(k1_lattice2(sK2)) = sK3
| u1_struct_0(sK2) = sK3 ),
inference(demodulation,[status(thm)],[c_24172,c_24264]) ).
cnf(c_24399,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| ~ m1_relset_1(u2_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_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| u1_struct_0(sK2) = X0 ),
inference(superposition,[status(thm)],[c_24124,c_174]) ).
cnf(c_24920,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2))) = k1_lattice2(k1_lattice2(sK2)),
inference(superposition,[status(thm)],[c_53,c_24125]) ).
cnf(c_24930,plain,
( k1_lattice2(k1_lattice2(sK2)) != k1_lattice2(sK2)
| ~ m1_relset_1(u2_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_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_24920,c_24399]) ).
cnf(c_24972,plain,
( ~ m1_relset_1(u2_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_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(global_subsumption_just,[status(thm)],[c_24930,c_16526]) ).
cnf(c_26754,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(superposition,[status(thm)],[c_4211,c_83]) ).
cnf(c_31882,plain,
( ~ m1_relset_1(u2_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))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| ~ l3_lattices(sK2)
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_3042,c_24972]) ).
cnf(c_31889,plain,
( ~ m1_relset_1(u2_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))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31882,c_53]) ).
cnf(c_32046,plain,
( ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| ~ l3_lattices(sK2)
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_3060,c_31889]) ).
cnf(c_32047,plain,
( ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(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_1(u1_lattices(sK2))
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32046,c_53]) ).
cnf(c_32053,plain,
( ~ v1_funct_2(u2_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_1(u1_lattices(sK2))
| ~ l3_lattices(sK2)
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_2913,c_32047]) ).
cnf(c_32054,plain,
( ~ v1_funct_2(u2_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_1(u1_lattices(sK2))
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32053,c_53]) ).
cnf(c_32059,plain,
( ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_1(u1_lattices(sK2))
| ~ l3_lattices(sK2)
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_2981,c_32054]) ).
cnf(c_32060,plain,
( ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_1(u1_lattices(sK2))
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32059,c_53]) ).
cnf(c_32129,plain,
( ~ v1_funct_1(u2_lattices(sK2))
| ~ l3_lattices(sK2)
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_2904,c_32060]) ).
cnf(c_32130,plain,
( ~ v1_funct_1(u2_lattices(sK2))
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32129,c_53]) ).
cnf(c_32133,plain,
( ~ l3_lattices(sK2)
| u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_2972,c_32130]) ).
cnf(c_32134,plain,
u1_struct_0(k1_lattice2(sK2)) = u1_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_32133,c_53]) ).
cnf(c_33367,plain,
( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_26754,c_17023]) ).
cnf(c_33368,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(renaming,[status(thm)],[c_33367]) ).
cnf(c_33373,plain,
( ~ l3_lattices(sK2)
| u1_struct_0(k1_lattice2(sK2)) = k1_filter_0(k1_lattice2(sK2))
| v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_55,c_33368]) ).
cnf(c_33386,plain,
u1_struct_0(k1_lattice2(sK2)) = k1_filter_0(k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_33373,c_56,c_53]) ).
cnf(c_33479,plain,
k1_filter_0(k1_lattice2(sK2)) = u1_struct_0(sK2),
inference(light_normalisation,[status(thm)],[c_33386,c_32134]) ).
cnf(c_33490,plain,
u1_struct_0(sK2) != sK3,
inference(demodulation,[status(thm)],[c_24274,c_33479]) ).
cnf(c_33491,plain,
u1_struct_0(sK2) = sK3,
inference(demodulation,[status(thm)],[c_24275,c_33479]) ).
cnf(c_33493,plain,
sK3 != sK3,
inference(demodulation,[status(thm)],[c_33490,c_33491]) ).
cnf(c_33494,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_33493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT322+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.12/0.35 % Computer : n032.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu May 2 18:08:23 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 46.11/7.22 % SZS status Started for theBenchmark.p
% 46.11/7.22 % SZS status Theorem for theBenchmark.p
% 46.11/7.22
% 46.11/7.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 46.11/7.22
% 46.11/7.22 ------ iProver source info
% 46.11/7.22
% 46.11/7.22 git: date: 2024-05-02 19:28:25 +0000
% 46.11/7.22 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 46.11/7.22 git: non_committed_changes: false
% 46.11/7.22
% 46.11/7.22 ------ Parsing...
% 46.11/7.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 46.11/7.22
% 46.11/7.22 ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 26 0s sf_e pe_s pe_e
% 46.11/7.22
% 46.11/7.22 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 46.11/7.22
% 46.11/7.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 46.11/7.22 ------ Proving...
% 46.11/7.22 ------ Problem Properties
% 46.11/7.22
% 46.11/7.22
% 46.11/7.22 clauses 156
% 46.11/7.22 conjectures 3
% 46.11/7.22 EPR 49
% 46.11/7.22 Horn 121
% 46.11/7.22 unary 61
% 46.11/7.22 binary 33
% 46.11/7.22 lits 417
% 46.11/7.22 lits eq 60
% 46.11/7.22 fd_pure 0
% 46.11/7.22 fd_pseudo 0
% 46.11/7.22 fd_cond 1
% 46.11/7.22 fd_pseudo_cond 4
% 46.11/7.22 AC symbols 0
% 46.11/7.22
% 46.11/7.22 ------ Input Options Time Limit: Unbounded
% 46.11/7.22
% 46.11/7.22
% 46.11/7.22 ------
% 46.11/7.22 Current options:
% 46.11/7.22 ------
% 46.11/7.22
% 46.11/7.22
% 46.11/7.22
% 46.11/7.22
% 46.11/7.22 ------ Proving...
% 46.11/7.22
% 46.11/7.22
% 46.11/7.22 % SZS status Theorem for theBenchmark.p
% 46.11/7.22
% 46.11/7.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.11/7.22
% 46.11/7.23
%------------------------------------------------------------------------------