TSTP Solution File: LAT310+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT310+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 : n009.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 06:32:31 EDT 2023
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 81 ( 20 unt; 0 def)
% Number of atoms : 416 ( 13 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 542 ( 207 ~; 172 |; 130 &)
% ( 7 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 121 (; 93 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f932,plain,
$false,
inference(avatar_sat_refutation,[],[f206,f211,f430,f895,f916]) ).
fof(f916,plain,
( spl20_2
| ~ spl20_5 ),
inference(avatar_contradiction_clause,[],[f915]) ).
fof(f915,plain,
( $false
| spl20_2
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f904,f647]) ).
fof(f647,plain,
( m2_filter_2(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),sK0)
| ~ spl20_5 ),
inference(unit_resulting_resolution,[],[f127,f128,f129,f265,f385,f178]) ).
fof(f178,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.4FZ7vi4ASF/Vampire---4.8_7966',dt_k19_filter_2) ).
fof(f385,plain,
~ v1_xboole_0(k19_filter_2(sK0,sK1)),
inference(unit_resulting_resolution,[],[f127,f128,f129,f236,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,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,[],[f59]) ).
fof(f59,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,[],[f16]) ).
fof(f16,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/tmp/tmp.4FZ7vi4ASF/Vampire---4.8_7966',dt_m2_filter_2) ).
fof(f236,plain,
m2_filter_2(k19_filter_2(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f127,f128,f129,f130,f131,f178]) ).
fof(f131,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
& r1_tarski(sK2,sK3) ) )
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK3)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK2)
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1)
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f49,f91,f90,f89,f88]) ).
fof(f88,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
| ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,X1)),k19_filter_2(sK0,X1))
| ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(sK0)
& v10_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,X1)),k19_filter_2(sK0,X1))
| ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,X2),k19_filter_2(sK0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X2) )
=> ( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,X3))
& r1_tarski(sK2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,X3))
& r1_tarski(sK2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(X3) )
=> ( ( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
& r1_tarski(sK2,sK3) ) )
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
| ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
| ( ~ r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
& r1_tarski(X2,X3) ) )
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
=> ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
& ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X3) )
=> ( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
& ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.4FZ7vi4ASF/Vampire---4.8_7966',t39_filter_2) ).
fof(f130,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f265,plain,
( m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl20_5
<=> m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f129,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f128,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f127,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f904,plain,
( ~ m2_filter_2(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),sK0)
| spl20_2
| ~ spl20_5 ),
inference(unit_resulting_resolution,[],[f127,f128,f129,f385,f236,f265,f174,f205,f194]) ).
fof(f194,plain,
! [X0,X1,X4] :
( r1_tarski(k19_filter_2(X0,X1),X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0)
| ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f160]) ).
fof(f160,plain,
! [X2,X0,X1,X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0)
| k19_filter_2(X0,X1) != X2
| ~ m2_filter_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k19_filter_2(X0,X1) = X2
| ( ~ r1_tarski(X2,sK5(X0,X1,X2))
& r1_tarski(X1,sK5(X0,X1,X2))
& m2_filter_2(sK5(X0,X1,X2),X0) )
| ~ r1_tarski(X1,X2) )
& ( ( ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) )
& r1_tarski(X1,X2) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f97,f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) )
=> ( ~ r1_tarski(X2,sK5(X0,X1,X2))
& r1_tarski(X1,sK5(X0,X1,X2))
& m2_filter_2(sK5(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k19_filter_2(X0,X1) = X2
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) )
| ~ r1_tarski(X1,X2) )
& ( ( ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) )
& r1_tarski(X1,X2) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k19_filter_2(X0,X1) = X2
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) )
| ~ r1_tarski(X1,X2) )
& ( ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( k19_filter_2(X0,X1) = X2
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) )
| ~ r1_tarski(X1,X2) )
& ( ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k19_filter_2(X0,X1) = X2
<=> ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k19_filter_2(X0,X1) = X2
<=> ( ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) )
& r1_tarski(X1,X2) ) )
| ~ m2_filter_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X0)
=> ( k19_filter_2(X0,X1) = X2
<=> ( ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) )
& r1_tarski(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.4FZ7vi4ASF/Vampire---4.8_7966',d11_filter_2) ).
fof(f205,plain,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| spl20_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl20_2
<=> r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f174,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.4FZ7vi4ASF/Vampire---4.8_7966',reflexivity_r1_tarski) ).
fof(f895,plain,
( spl20_1
| ~ spl20_3 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f894,plain,
( $false
| spl20_1
| ~ spl20_3 ),
inference(subsumption_resolution,[],[f887,f450]) ).
fof(f450,plain,
( ~ r1_tarski(sK2,k19_filter_2(sK0,sK3))
| spl20_1 ),
inference(unit_resulting_resolution,[],[f127,f128,f129,f132,f133,f240,f243,f201,f194]) ).
fof(f201,plain,
( ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3))
| spl20_1 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl20_1
<=> r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f243,plain,
m2_filter_2(k19_filter_2(sK0,sK3),sK0),
inference(unit_resulting_resolution,[],[f127,f128,f129,f134,f135,f178]) ).
fof(f135,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f134,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f92]) ).
fof(f240,plain,
m2_filter_2(k19_filter_2(sK0,sK2),sK0),
inference(unit_resulting_resolution,[],[f127,f128,f129,f132,f133,f178]) ).
fof(f133,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f132,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f92]) ).
fof(f887,plain,
( r1_tarski(sK2,k19_filter_2(sK0,sK3))
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f210,f410,f184]) ).
fof(f184,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X1,X2)
& r1_tarski(X0,X1) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.4FZ7vi4ASF/Vampire---4.8_7966',t1_xboole_1) ).
fof(f410,plain,
r1_tarski(sK3,k19_filter_2(sK0,sK3)),
inference(unit_resulting_resolution,[],[f127,f128,f129,f134,f135,f243,f195]) ).
fof(f195,plain,
! [X0,X1] :
( r1_tarski(X1,k19_filter_2(X0,X1))
| ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(equality_resolution,[],[f159]) ).
fof(f159,plain,
! [X2,X0,X1] :
( r1_tarski(X1,X2)
| k19_filter_2(X0,X1) != X2
| ~ m2_filter_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f210,plain,
( r1_tarski(sK2,sK3)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl20_3
<=> r1_tarski(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f430,plain,
spl20_5,
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| spl20_5 ),
inference(subsumption_resolution,[],[f421,f386]) ).
fof(f386,plain,
m2_lattice4(k19_filter_2(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f127,f128,f129,f236,f157]) ).
fof(f157,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,[],[f60]) ).
fof(f421,plain,
( ~ m2_lattice4(k19_filter_2(sK0,sK1),sK0)
| spl20_5 ),
inference(unit_resulting_resolution,[],[f127,f128,f129,f266,f158]) ).
fof(f158,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,[],[f62]) ).
fof(f62,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,[],[f61]) ).
fof(f61,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,[],[f17]) ).
fof(f17,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/tmp/tmp.4FZ7vi4ASF/Vampire---4.8_7966',dt_m2_lattice4) ).
fof(f266,plain,
( ~ m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0)))
| spl20_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f211,plain,
( spl20_3
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f136,f203,f208]) ).
fof(f136,plain,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| r1_tarski(sK2,sK3) ),
inference(cnf_transformation,[],[f92]) ).
fof(f206,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f137,f203,f199]) ).
fof(f137,plain,
( ~ r1_tarski(k19_filter_2(sK0,k19_filter_2(sK0,sK1)),k19_filter_2(sK0,sK1))
| ~ r1_tarski(k19_filter_2(sK0,sK2),k19_filter_2(sK0,sK3)) ),
inference(cnf_transformation,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT310+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n009.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 05:15:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 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.4FZ7vi4ASF/Vampire---4.8_7966
% 0.14/0.36 % (8076)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (8079)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.20/0.42 % (8078)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.20/0.42 % (8080)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.20/0.42 % (8081)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42 % (8077)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.20/0.42 % (8084)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.20/0.42 % (8082)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.20/0.45 % (8080)First to succeed.
% 0.20/0.45 % (8080)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for Vampire---4
% 0.20/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.45 % (8080)------------------------------
% 0.20/0.45 % (8080)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.45 % (8080)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.45 % (8080)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (8080)Memory used [KB]: 6140
% 0.20/0.45 % (8080)Time elapsed: 0.033 s
% 0.20/0.45 % (8080)------------------------------
% 0.20/0.45 % (8080)------------------------------
% 0.20/0.45 % (8076)Success in time 0.092 s
% 0.20/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------