TSTP Solution File: LAT289+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n023.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 : Thu Aug 31 06:31:38 EDT 2023
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 107 ( 21 unt; 0 def)
% Number of atoms : 469 ( 13 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 578 ( 216 ~; 222 |; 113 &)
% ( 7 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 96 (; 81 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1340,plain,
$false,
inference(avatar_sat_refutation,[],[f1069,f1071,f1278,f1339]) ).
fof(f1339,plain,
spl22_9,
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| spl22_9 ),
inference(subsumption_resolution,[],[f1337,f250]) ).
fof(f250,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( r2_hidden(sK1,sK2)
& ~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& v1_filter_0(sK2,sK0)
& m1_filter_0(sK2,sK0)
& m1_subset_1(sK1,u1_struct_0(sK0))
& l3_lattices(sK0)
& ~ v3_realset2(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f113,f199,f198,f197]) ).
fof(f197,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X1))
& v1_filter_0(X2,sK0)
& m1_filter_0(X2,sK0) )
& m1_subset_1(X1,u1_struct_0(sK0)) )
& l3_lattices(sK0)
& ~ v3_realset2(sK0)
& v17_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X1))
& v1_filter_0(X2,sK0)
& m1_filter_0(X2,sK0) )
& m1_subset_1(X1,u1_struct_0(sK0)) )
=> ( ? [X2] :
( r2_hidden(sK1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& v1_filter_0(X2,sK0)
& m1_filter_0(X2,sK0) )
& m1_subset_1(sK1,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
( ? [X2] :
( r2_hidden(sK1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& v1_filter_0(X2,sK0)
& m1_filter_0(X2,sK0) )
=> ( r2_hidden(sK1,sK2)
& ~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& v1_filter_0(sK2,sK0)
& m1_filter_0(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',t27_lopclset) ).
fof(f1337,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl22_9 ),
inference(subsumption_resolution,[],[f1333,f1277]) ).
fof(f1277,plain,
( ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| spl22_9 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1276,plain,
( spl22_9
<=> r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).
fof(f1333,plain,
( r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ m1_subset_1(sK1,u1_struct_0(sK0)) ),
inference(resolution,[],[f884,f254]) ).
fof(f254,plain,
r2_hidden(sK1,sK2),
inference(cnf_transformation,[],[f200]) ).
fof(f884,plain,
! [X2] :
( ~ r2_hidden(X2,sK2)
| r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),X2))
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f883,f502]) ).
fof(f502,plain,
k9_lopclset(sK0) = k8_lopclset(sK0),
inference(subsumption_resolution,[],[f501,f246]) ).
fof(f246,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f501,plain,
( k9_lopclset(sK0) = k8_lopclset(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f500,f247]) ).
fof(f247,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f500,plain,
( k9_lopclset(sK0) = k8_lopclset(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f499,f248]) ).
fof(f248,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f499,plain,
( k9_lopclset(sK0) = k8_lopclset(sK0)
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f447,f249]) ).
fof(f249,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f447,plain,
( k9_lopclset(sK0) = k8_lopclset(sK0)
| ~ l3_lattices(sK0)
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f245,f338]) ).
fof(f338,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k9_lopclset(X0) = k8_lopclset(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',redefinition_k9_lopclset) ).
fof(f245,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f883,plain,
! [X2] :
( r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X2))
| ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f882,f245]) ).
fof(f882,plain,
! [X2] :
( r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X2))
| ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f881,f246]) ).
fof(f881,plain,
! [X2] :
( r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X2))
| ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f880,f247]) ).
fof(f880,plain,
! [X2] :
( r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X2))
| ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f879,f248]) ).
fof(f879,plain,
! [X2] :
( r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X2))
| ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f878,f249]) ).
fof(f878,plain,
! [X2] :
( r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X2))
| ~ r2_hidden(X2,sK2)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f858,f252]) ).
fof(f252,plain,
v1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f858,plain,
! [X2] :
( r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X2))
| ~ r2_hidden(X2,sK2)
| ~ v1_filter_0(sK2,sK0)
| ~ m1_subset_1(X2,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0)
| v3_struct_0(sK0) ),
inference(resolution,[],[f251,f347]) ).
fof(f347,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0) )
& ( ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) )
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0) )
& ( ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) )
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',t21_lopclset) ).
fof(f251,plain,
m1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f200]) ).
fof(f1278,plain,
( spl22_5
| ~ spl22_9 ),
inference(avatar_split_clause,[],[f938,f1276,f1067]) ).
fof(f1067,plain,
( spl22_5
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f938,plain,
( ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f937,f515]) ).
fof(f515,plain,
v1_funct_1(k9_lopclset(sK0)),
inference(forward_demodulation,[],[f514,f502]) ).
fof(f514,plain,
v1_funct_1(k8_lopclset(sK0)),
inference(subsumption_resolution,[],[f513,f246]) ).
fof(f513,plain,
( v1_funct_1(k8_lopclset(sK0))
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f512,f247]) ).
fof(f512,plain,
( v1_funct_1(k8_lopclset(sK0))
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f511,f248]) ).
fof(f511,plain,
( v1_funct_1(k8_lopclset(sK0))
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f450,f249]) ).
fof(f450,plain,
( v1_funct_1(k8_lopclset(sK0))
| ~ l3_lattices(sK0)
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f245,f341]) ).
fof(f341,plain,
! [X0] :
( v1_funct_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( v1_funct_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( v1_funct_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> v1_funct_1(k8_lopclset(X0)) ),
inference(pure_predicate_removal,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_1(k8_lopclset(X0))
& v1_relat_1(k8_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',dt_k8_lopclset) ).
fof(f937,plain,
( ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ v1_funct_1(k9_lopclset(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f936,f519]) ).
fof(f519,plain,
v1_funct_2(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0))),
inference(subsumption_resolution,[],[f518,f246]) ).
fof(f518,plain,
( v1_funct_2(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f517,f247]) ).
fof(f517,plain,
( v1_funct_2(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f516,f248]) ).
fof(f516,plain,
( v1_funct_2(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f452,f249]) ).
fof(f452,plain,
( v1_funct_2(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ l3_lattices(sK0)
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f245,f343]) ).
fof(f343,plain,
! [X0] :
( v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',dt_k9_lopclset) ).
fof(f936,plain,
( ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ v1_funct_2(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v1_funct_1(k9_lopclset(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f935,f524]) ).
fof(f524,plain,
m1_relset_1(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0))),
inference(forward_literal_rewriting,[],[f523,f385]) ).
fof(f385,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,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,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',redefinition_m2_relset_1) ).
fof(f523,plain,
m2_relset_1(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0))),
inference(subsumption_resolution,[],[f522,f246]) ).
fof(f522,plain,
( m2_relset_1(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f521,f247]) ).
fof(f521,plain,
( m2_relset_1(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f520,f248]) ).
fof(f520,plain,
( m2_relset_1(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(subsumption_resolution,[],[f453,f249]) ).
fof(f453,plain,
( m2_relset_1(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ l3_lattices(sK0)
| v3_realset2(sK0)
| ~ v17_lattices(sK0)
| ~ v10_lattices(sK0) ),
inference(resolution,[],[f245,f344]) ).
fof(f344,plain,
! [X0] :
( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f935,plain,
( ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ m1_relset_1(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v1_funct_2(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v1_funct_1(k9_lopclset(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f934,f250]) ).
fof(f934,plain,
( ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_relset_1(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v1_funct_2(k9_lopclset(sK0),u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)))
| ~ v1_funct_1(k9_lopclset(sK0))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(superposition,[],[f253,f389]) ).
fof(f389,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',redefinition_k8_funct_2) ).
fof(f253,plain,
~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1)),
inference(cnf_transformation,[],[f200]) ).
fof(f1071,plain,
spl22_4,
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1070,plain,
( $false
| spl22_4 ),
inference(subsumption_resolution,[],[f1065,f958]) ).
fof(f958,plain,
l1_struct_0(sK0),
inference(resolution,[],[f766,f272]) ).
fof(f272,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',dt_l1_lattices) ).
fof(f766,plain,
l1_lattices(sK0),
inference(resolution,[],[f249,f275]) ).
fof(f275,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',dt_l3_lattices) ).
fof(f1065,plain,
( ~ l1_struct_0(sK0)
| spl22_4 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1064,plain,
( spl22_4
<=> l1_struct_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f1069,plain,
( ~ spl22_4
| ~ spl22_5 ),
inference(avatar_split_clause,[],[f443,f1067,f1064]) ).
fof(f443,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| ~ l1_struct_0(sK0) ),
inference(resolution,[],[f245,f334]) ).
fof(f334,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734',fc1_struct_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 07:51:27 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.9CnORBb0Nb/Vampire---4.8_5734
% 0.14/0.36 % (5841)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (5849)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.21/0.42 % (5848)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.21/0.42 % (5843)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.42 % (5847)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (5845)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.42 % (5842)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.21/0.43 % (5844)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.21/0.43 % (5849)Refutation not found, incomplete strategy% (5849)------------------------------
% 0.21/0.43 % (5849)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (5849)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (5849)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (5849)Memory used [KB]: 5756
% 0.21/0.43 % (5849)Time elapsed: 0.007 s
% 0.21/0.43 % (5849)------------------------------
% 0.21/0.43 % (5849)------------------------------
% 0.21/0.45 % (5847)First to succeed.
% 0.21/0.45 % (5847)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Theorem for Vampire---4
% 0.21/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45 % (5847)------------------------------
% 0.21/0.45 % (5847)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (5847)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (5847)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (5847)Memory used [KB]: 6140
% 0.21/0.45 % (5847)Time elapsed: 0.027 s
% 0.21/0.45 % (5847)------------------------------
% 0.21/0.45 % (5847)------------------------------
% 0.21/0.45 % (5841)Success in time 0.087 s
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------