%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB032+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:00:16 PM UTC 2026
% Result : Theorem 3.05s 1.36s
% Output : Refutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 155 ( 28 unt; 12 def)
% Number of atoms : 488 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 578 ( 245 ~; 261 |; 48 &)
% ( 16 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 13 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn 83 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
fof(f85,axiom,
! [X0] :
( idc(X0)
=> ic(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).
fof(f343,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f350,axiom,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
~ ( icext(X0,X2)
& icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(f420,axiom,
idc(uri_xsd_decimal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_decimal_type) ).
fof(f430,axiom,
idc(uri_xsd_integer),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_integer_type) ).
fof(f450,axiom,
idc(uri_rdf_PlainLiteral),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_plainliteral_type) ).
fof(f454,axiom,
idc(uri_owl_rational),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_rational_type) ).
fof(f460,axiom,
idc(uri_xsd_string),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_string_type) ).
fof(f515,axiom,
! [X0] :
~ ( icext(uri_rdf_PlainLiteral,X0)
& icext(uri_owl_real,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_disjoint_plainliteral_real) ).
fof(f520,axiom,
! [X0] :
( icext(uri_xsd_decimal,X0)
=> icext(uri_owl_rational,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_decimal_rational) ).
fof(f522,axiom,
! [X0] :
( icext(uri_xsd_integer,X0)
=> icext(uri_xsd_decimal,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_integer_decimal) ).
fof(f533,axiom,
! [X0] :
( icext(uri_owl_rational,X0)
=> icext(uri_owl_real,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_rational_real) ).
fof(f535,axiom,
! [X0] :
( icext(uri_xsd_string,X0)
=> icext(uri_rdf_PlainLiteral,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_dat_dtype_relation_subtype_string_plainliteral) ).
fof(f559,conjecture,
( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
& iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).
fof(f560,negated_conjecture,
~ ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
& iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f580,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f591,plain,
! [X0] :
( ic(X0)
| ~ idc(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f789,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f343]) ).
fof(f797,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) ) ),
inference(ennf_transformation,[],[f350]) ).
fof(f944,plain,
! [X0] :
( ~ icext(uri_rdf_PlainLiteral,X0)
| ~ icext(uri_owl_real,X0) ),
inference(ennf_transformation,[],[f515]) ).
fof(f949,plain,
! [X0] :
( icext(uri_owl_rational,X0)
| ~ icext(uri_xsd_decimal,X0) ),
inference(ennf_transformation,[],[f520]) ).
fof(f951,plain,
! [X0] :
( icext(uri_xsd_decimal,X0)
| ~ icext(uri_xsd_integer,X0) ),
inference(ennf_transformation,[],[f522]) ).
fof(f962,plain,
! [X0] :
( icext(uri_owl_real,X0)
| ~ icext(uri_owl_rational,X0) ),
inference(ennf_transformation,[],[f533]) ).
fof(f964,plain,
! [X0] :
( icext(uri_rdf_PlainLiteral,X0)
| ~ icext(uri_xsd_string,X0) ),
inference(ennf_transformation,[],[f535]) ).
fof(f979,plain,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(ennf_transformation,[],[f560]) ).
fof(f1311,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f789]) ).
fof(f1312,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f1311]) ).
fof(f1313,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f1312]) ).
fof(f1314,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK167(X0,X1))
& icext(X0,sK167(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK167]),skolemize(X2,sK167(X0,X1))],[f1313]) ).
fof(f1345,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f797]) ).
fof(f1346,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(flattening,[],[f1345]) ).
fof(f1347,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(rectify,[],[f1346]) ).
fof(f1348,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( icext(X0,sK174(X0,X1))
& icext(X1,sK174(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK174]),skolemize(X2,sK174(X0,X1))],[f1347]) ).
fof(f1531,plain,
! [X2,X0,X1] :
( ~ icext(X0,X2)
| icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f580]) ).
fof(f1553,plain,
! [X0] :
( ic(X0)
| ~ idc(X0) ),
inference(cnf_transformation,[],[f591]) ).
fof(f2312,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| icext(X0,sK167(X0,X1)) ),
inference(cnf_transformation,[],[f1314]) ).
fof(f2313,plain,
! [X0,X1] :
( ~ icext(X1,sK167(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f1314]) ).
fof(f2376,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| icext(X1,sK174(X0,X1)) ),
inference(cnf_transformation,[],[f1348]) ).
fof(f2377,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| icext(X0,sK174(X0,X1)) ),
inference(cnf_transformation,[],[f1348]) ).
fof(f2600,plain,
idc(uri_xsd_decimal),
inference(cnf_transformation,[],[f420]) ).
fof(f2610,plain,
idc(uri_xsd_integer),
inference(cnf_transformation,[],[f430]) ).
fof(f2630,plain,
idc(uri_rdf_PlainLiteral),
inference(cnf_transformation,[],[f450]) ).
fof(f2634,plain,
idc(uri_owl_rational),
inference(cnf_transformation,[],[f454]) ).
fof(f2640,plain,
idc(uri_xsd_string),
inference(cnf_transformation,[],[f460]) ).
fof(f2695,plain,
! [X0] :
( ~ icext(uri_owl_real,X0)
| ~ icext(uri_rdf_PlainLiteral,X0) ),
inference(cnf_transformation,[],[f944]) ).
fof(f2700,plain,
! [X0] :
( icext(uri_owl_rational,X0)
| ~ icext(uri_xsd_decimal,X0) ),
inference(cnf_transformation,[],[f949]) ).
fof(f2702,plain,
! [X0] :
( ~ icext(uri_xsd_integer,X0)
| icext(uri_xsd_decimal,X0) ),
inference(cnf_transformation,[],[f951]) ).
fof(f2713,plain,
! [X0] :
( ~ icext(uri_owl_rational,X0)
| icext(uri_owl_real,X0) ),
inference(cnf_transformation,[],[f962]) ).
fof(f2715,plain,
! [X0] :
( icext(uri_rdf_PlainLiteral,X0)
| ~ icext(uri_xsd_string,X0) ),
inference(cnf_transformation,[],[f964]) ).
fof(f2748,plain,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
inference(cnf_transformation,[],[f979]) ).
fof(f2772,definition,
( spl251_1
<=> iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
introduced(definition,[new_symbols(definition,[spl251_1])],[avatar_definition]) ).
fof(f2774,plain,
( ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| spl251_1 ),
inference(avatar_component_clause,[],[f2772]) ).
fof(f2776,definition,
( spl251_2
<=> iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
introduced(definition,[new_symbols(definition,[spl251_2])],[avatar_definition]) ).
fof(f2778,plain,
( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
| spl251_2 ),
inference(avatar_component_clause,[],[f2776]) ).
fof(f2779,plain,
( ~ spl251_1
| ~ spl251_2 ),
inference(avatar_split_clause,[],[f2748,f2776,f2772]) ).
fof(f2785,plain,
( ~ ic(uri_xsd_integer)
| ~ ic(uri_xsd_decimal)
| icext(uri_xsd_integer,sK167(uri_xsd_integer,uri_xsd_decimal))
| spl251_1 ),
inference(resolution,[],[f2312,f2774]) ).
fof(f2789,definition,
( spl251_3
<=> icext(uri_xsd_integer,sK167(uri_xsd_integer,uri_xsd_decimal)) ),
introduced(definition,[new_symbols(definition,[spl251_3])],[avatar_definition]) ).
fof(f2791,plain,
( icext(uri_xsd_integer,sK167(uri_xsd_integer,uri_xsd_decimal))
| ~ spl251_3 ),
inference(avatar_component_clause,[],[f2789]) ).
fof(f2793,definition,
( spl251_4
<=> ic(uri_xsd_decimal) ),
introduced(definition,[new_symbols(definition,[spl251_4])],[avatar_definition]) ).
fof(f2794,plain,
( ic(uri_xsd_decimal)
| ~ spl251_4 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f2795,plain,
( ~ ic(uri_xsd_decimal)
| spl251_4 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f2797,definition,
( spl251_5
<=> ic(uri_xsd_integer) ),
introduced(definition,[new_symbols(definition,[spl251_5])],[avatar_definition]) ).
fof(f2798,plain,
( ic(uri_xsd_integer)
| ~ spl251_5 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f2799,plain,
( ~ ic(uri_xsd_integer)
| spl251_5 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f2800,plain,
( spl251_3
| ~ spl251_4
| ~ spl251_5
| spl251_1 ),
inference(avatar_split_clause,[],[f2785,f2772,f2797,f2793,f2789]) ).
fof(f2809,plain,
! [X0] :
( ~ ic(X0)
| ~ ic(uri_owl_rational)
| iext(uri_rdfs_subClassOf,X0,uri_owl_rational)
| ~ icext(uri_xsd_decimal,sK167(X0,uri_owl_rational)) ),
inference(resolution,[],[f2313,f2700]) ).
fof(f2810,plain,
! [X0] :
( ~ ic(X0)
| ~ ic(uri_rdf_PlainLiteral)
| iext(uri_rdfs_subClassOf,X0,uri_rdf_PlainLiteral)
| ~ icext(uri_xsd_string,sK167(X0,uri_rdf_PlainLiteral)) ),
inference(resolution,[],[f2313,f2715]) ).
fof(f2812,definition,
( spl251_7
<=> ic(uri_rdf_PlainLiteral) ),
introduced(definition,[new_symbols(definition,[spl251_7])],[avatar_definition]) ).
fof(f2813,plain,
( ic(uri_rdf_PlainLiteral)
| ~ spl251_7 ),
inference(avatar_component_clause,[],[f2812]) ).
fof(f2814,plain,
( ~ ic(uri_rdf_PlainLiteral)
| spl251_7 ),
inference(avatar_component_clause,[],[f2812]) ).
fof(f2816,definition,
( spl251_8
<=> ! [X0] :
( ~ ic(X0)
| ~ icext(uri_xsd_string,sK167(X0,uri_rdf_PlainLiteral))
| iext(uri_rdfs_subClassOf,X0,uri_rdf_PlainLiteral) ) ),
introduced(definition,[new_symbols(definition,[spl251_8])],[avatar_definition]) ).
fof(f2817,plain,
( ! [X0] :
( ~ icext(uri_xsd_string,sK167(X0,uri_rdf_PlainLiteral))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,uri_rdf_PlainLiteral) )
| ~ spl251_8 ),
inference(avatar_component_clause,[],[f2816]) ).
fof(f2818,plain,
( ~ spl251_7
| spl251_8 ),
inference(avatar_split_clause,[],[f2810,f2816,f2812]) ).
fof(f2820,definition,
( spl251_9
<=> ic(uri_owl_rational) ),
introduced(definition,[new_symbols(definition,[spl251_9])],[avatar_definition]) ).
fof(f2821,plain,
( ic(uri_owl_rational)
| ~ spl251_9 ),
inference(avatar_component_clause,[],[f2820]) ).
fof(f2822,plain,
( ~ ic(uri_owl_rational)
| spl251_9 ),
inference(avatar_component_clause,[],[f2820]) ).
fof(f2824,definition,
( spl251_10
<=> ! [X0] :
( ~ ic(X0)
| ~ icext(uri_xsd_decimal,sK167(X0,uri_owl_rational))
| iext(uri_rdfs_subClassOf,X0,uri_owl_rational) ) ),
introduced(definition,[new_symbols(definition,[spl251_10])],[avatar_definition]) ).
fof(f2825,plain,
( ! [X0] :
( ~ icext(uri_xsd_decimal,sK167(X0,uri_owl_rational))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,uri_owl_rational) )
| ~ spl251_10 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f2826,plain,
( ~ spl251_9
| spl251_10 ),
inference(avatar_split_clause,[],[f2809,f2824,f2820]) ).
fof(f2848,plain,
( ~ idc(uri_xsd_decimal)
| spl251_4 ),
inference(resolution,[],[f1553,f2795]) ).
fof(f2849,plain,
( ~ idc(uri_rdf_PlainLiteral)
| spl251_7 ),
inference(resolution,[],[f1553,f2814]) ).
fof(f2850,plain,
( ~ idc(uri_owl_rational)
| spl251_9 ),
inference(resolution,[],[f1553,f2822]) ).
fof(f2851,plain,
( $false
| spl251_9 ),
inference(forward_subsumption_resolution,[],[f2850,f2634]) ).
fof(f2852,plain,
spl251_9,
inference(avatar_contradiction_clause,[],[f2851]) ).
fof(f2853,plain,
( $false
| spl251_7 ),
inference(forward_subsumption_resolution,[],[f2849,f2630]) ).
fof(f2854,plain,
spl251_7,
inference(avatar_contradiction_clause,[],[f2853]) ).
fof(f2855,plain,
( $false
| spl251_4 ),
inference(forward_subsumption_resolution,[],[f2848,f2600]) ).
fof(f2856,plain,
spl251_4,
inference(avatar_contradiction_clause,[],[f2855]) ).
fof(f2857,plain,
( ~ idc(uri_xsd_integer)
| spl251_5 ),
inference(resolution,[],[f2799,f1553]) ).
fof(f2862,plain,
( $false
| spl251_5 ),
inference(forward_subsumption_resolution,[],[f2857,f2610]) ).
fof(f2863,plain,
spl251_5,
inference(avatar_contradiction_clause,[],[f2862]) ).
fof(f2864,plain,
( icext(uri_xsd_decimal,sK167(uri_xsd_integer,uri_xsd_decimal))
| ~ spl251_3 ),
inference(resolution,[],[f2791,f2702]) ).
fof(f2867,plain,
( ~ ic(uri_xsd_integer)
| ~ ic(uri_xsd_decimal)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| ~ spl251_3 ),
inference(resolution,[],[f2864,f2313]) ).
fof(f2870,plain,
( ~ ic(uri_xsd_decimal)
| iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| ~ spl251_3
| ~ spl251_5 ),
inference(forward_subsumption_resolution,[],[f2867,f2798]) ).
fof(f2871,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal)
| ~ spl251_3
| ~ spl251_4
| ~ spl251_5 ),
inference(forward_subsumption_resolution,[],[f2870,f2794]) ).
fof(f2874,plain,
( spl251_1
| ~ spl251_3
| ~ spl251_4
| ~ spl251_5 ),
inference(avatar_split_clause,[],[f2871,f2797,f2793,f2789,f2772]) ).
fof(f2875,plain,
( ~ ic(uri_xsd_decimal)
| ~ ic(uri_xsd_string)
| icext(uri_xsd_decimal,sK174(uri_xsd_decimal,uri_xsd_string))
| spl251_2 ),
inference(resolution,[],[f2778,f2377]) ).
fof(f2876,plain,
( ~ ic(uri_xsd_decimal)
| ~ ic(uri_xsd_string)
| icext(uri_xsd_string,sK174(uri_xsd_decimal,uri_xsd_string))
| spl251_2 ),
inference(resolution,[],[f2778,f2376]) ).
fof(f2877,plain,
( ~ ic(uri_xsd_string)
| icext(uri_xsd_string,sK174(uri_xsd_decimal,uri_xsd_string))
| spl251_2
| ~ spl251_4 ),
inference(forward_subsumption_resolution,[],[f2876,f2794]) ).
fof(f2878,plain,
( ~ ic(uri_xsd_string)
| icext(uri_xsd_decimal,sK174(uri_xsd_decimal,uri_xsd_string))
| spl251_2
| ~ spl251_4 ),
inference(forward_subsumption_resolution,[],[f2875,f2794]) ).
fof(f2880,definition,
( spl251_11
<=> icext(uri_xsd_string,sK174(uri_xsd_decimal,uri_xsd_string)) ),
introduced(definition,[new_symbols(definition,[spl251_11])],[avatar_definition]) ).
fof(f2882,plain,
( icext(uri_xsd_string,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_11 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2884,definition,
( spl251_12
<=> ic(uri_xsd_string) ),
introduced(definition,[new_symbols(definition,[spl251_12])],[avatar_definition]) ).
fof(f2885,plain,
( ic(uri_xsd_string)
| ~ spl251_12 ),
inference(avatar_component_clause,[],[f2884]) ).
fof(f2886,plain,
( ~ ic(uri_xsd_string)
| spl251_12 ),
inference(avatar_component_clause,[],[f2884]) ).
fof(f2887,plain,
( spl251_11
| ~ spl251_12
| spl251_2
| ~ spl251_4 ),
inference(avatar_split_clause,[],[f2877,f2793,f2776,f2884,f2880]) ).
fof(f2889,definition,
( spl251_13
<=> icext(uri_xsd_decimal,sK174(uri_xsd_decimal,uri_xsd_string)) ),
introduced(definition,[new_symbols(definition,[spl251_13])],[avatar_definition]) ).
fof(f2891,plain,
( icext(uri_xsd_decimal,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_13 ),
inference(avatar_component_clause,[],[f2889]) ).
fof(f2892,plain,
( spl251_13
| ~ spl251_12
| spl251_2
| ~ spl251_4 ),
inference(avatar_split_clause,[],[f2878,f2793,f2776,f2884,f2889]) ).
fof(f2893,plain,
( ~ idc(uri_xsd_string)
| spl251_12 ),
inference(resolution,[],[f2886,f1553]) ).
fof(f2898,plain,
( $false
| spl251_12 ),
inference(forward_subsumption_resolution,[],[f2893,f2640]) ).
fof(f2899,plain,
spl251_12,
inference(avatar_contradiction_clause,[],[f2898]) ).
fof(f2901,plain,
( ! [X0] :
( ~ iext(uri_rdfs_subClassOf,uri_xsd_string,X0)
| icext(X0,sK174(uri_xsd_decimal,uri_xsd_string)) )
| ~ spl251_11 ),
inference(resolution,[],[f2882,f1531]) ).
fof(f2903,plain,
( ! [X0] :
( ~ iext(uri_rdfs_subClassOf,uri_xsd_decimal,X0)
| icext(X0,sK174(uri_xsd_decimal,uri_xsd_string)) )
| ~ spl251_13 ),
inference(resolution,[],[f2891,f1531]) ).
fof(f2931,plain,
( ! [X0] :
( icext(X0,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ ic(uri_xsd_string)
| ~ ic(X0)
| icext(uri_xsd_string,sK167(uri_xsd_string,X0)) )
| ~ spl251_11 ),
inference(resolution,[],[f2901,f2312]) ).
fof(f2934,plain,
( ! [X0] :
( icext(uri_xsd_string,sK167(uri_xsd_string,X0))
| ~ ic(X0)
| icext(X0,sK174(uri_xsd_decimal,uri_xsd_string)) )
| ~ spl251_11
| ~ spl251_12 ),
inference(forward_subsumption_resolution,[],[f2931,f2885]) ).
fof(f2936,plain,
( ! [X0] :
( icext(X0,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ ic(uri_xsd_decimal)
| ~ ic(X0)
| icext(uri_xsd_decimal,sK167(uri_xsd_decimal,X0)) )
| ~ spl251_13 ),
inference(resolution,[],[f2903,f2312]) ).
fof(f2939,plain,
( ! [X0] :
( icext(uri_xsd_decimal,sK167(uri_xsd_decimal,X0))
| ~ ic(X0)
| icext(X0,sK174(uri_xsd_decimal,uri_xsd_string)) )
| ~ spl251_4
| ~ spl251_13 ),
inference(forward_subsumption_resolution,[],[f2936,f2794]) ).
fof(f3518,plain,
( ~ ic(uri_xsd_string)
| iext(uri_rdfs_subClassOf,uri_xsd_string,uri_rdf_PlainLiteral)
| ~ ic(uri_rdf_PlainLiteral)
| icext(uri_rdf_PlainLiteral,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_8
| ~ spl251_11
| ~ spl251_12 ),
inference(resolution,[],[f2817,f2934]) ).
fof(f3519,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_string,uri_rdf_PlainLiteral)
| ~ ic(uri_rdf_PlainLiteral)
| icext(uri_rdf_PlainLiteral,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_8
| ~ spl251_11
| ~ spl251_12 ),
inference(forward_subsumption_resolution,[],[f3518,f2885]) ).
fof(f3523,plain,
( ~ ic(uri_rdf_PlainLiteral)
| icext(uri_rdf_PlainLiteral,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_8
| ~ spl251_11
| ~ spl251_12 ),
inference(forward_subsumption_resolution,[],[f3519,f2901]) ).
fof(f3527,plain,
( icext(uri_rdf_PlainLiteral,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_7
| ~ spl251_8
| ~ spl251_11
| ~ spl251_12 ),
inference(forward_subsumption_resolution,[],[f3523,f2813]) ).
fof(f3530,plain,
( ~ ic(uri_xsd_decimal)
| iext(uri_rdfs_subClassOf,uri_xsd_decimal,uri_owl_rational)
| ~ ic(uri_owl_rational)
| icext(uri_owl_rational,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_4
| ~ spl251_10
| ~ spl251_13 ),
inference(resolution,[],[f2825,f2939]) ).
fof(f3581,plain,
( iext(uri_rdfs_subClassOf,uri_xsd_decimal,uri_owl_rational)
| ~ ic(uri_owl_rational)
| icext(uri_owl_rational,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_4
| ~ spl251_10
| ~ spl251_13 ),
inference(forward_subsumption_resolution,[],[f3530,f2794]) ).
fof(f3607,plain,
( ~ ic(uri_owl_rational)
| icext(uri_owl_rational,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_4
| ~ spl251_10
| ~ spl251_13 ),
inference(forward_subsumption_resolution,[],[f3581,f2903]) ).
fof(f3621,plain,
( icext(uri_owl_rational,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_4
| ~ spl251_9
| ~ spl251_10
| ~ spl251_13 ),
inference(forward_subsumption_resolution,[],[f3607,f2821]) ).
fof(f3622,plain,
( icext(uri_owl_real,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_4
| ~ spl251_9
| ~ spl251_10
| ~ spl251_13 ),
inference(resolution,[],[f3621,f2713]) ).
fof(f3629,plain,
( ~ icext(uri_rdf_PlainLiteral,sK174(uri_xsd_decimal,uri_xsd_string))
| ~ spl251_4
| ~ spl251_9
| ~ spl251_10
| ~ spl251_13 ),
inference(resolution,[],[f3622,f2695]) ).
fof(f3632,plain,
( $false
| ~ spl251_4
| ~ spl251_7
| ~ spl251_8
| ~ spl251_9
| ~ spl251_10
| ~ spl251_11
| ~ spl251_12
| ~ spl251_13 ),
inference(forward_subsumption_resolution,[],[f3629,f3527]) ).
fof(f3633,plain,
( ~ spl251_4
| ~ spl251_7
| ~ spl251_8
| ~ spl251_9
| ~ spl251_10
| ~ spl251_11
| ~ spl251_12
| ~ spl251_13 ),
inference(avatar_contradiction_clause,[],[f3632]) ).
cnf(s1,plain,
( ~ spl251_1
| ~ spl251_2 ),
inference(sat_conversion,[],[f2779]) ).
cnf(s2,plain,
( spl251_1
| spl251_3
| ~ spl251_4
| ~ spl251_5 ),
inference(sat_conversion,[],[f2800]) ).
cnf(s4,plain,
( ~ spl251_7
| spl251_8 ),
inference(sat_conversion,[],[f2818]) ).
cnf(s5,plain,
( ~ spl251_9
| spl251_10 ),
inference(sat_conversion,[],[f2826]) ).
cnf(s6,plain,
spl251_9,
inference(sat_conversion,[],[f2852]) ).
cnf(s7,plain,
spl251_7,
inference(sat_conversion,[],[f2854]) ).
cnf(s8,plain,
spl251_4,
inference(sat_conversion,[],[f2856]) ).
cnf(s9,plain,
spl251_5,
inference(sat_conversion,[],[f2863]) ).
cnf(s11,plain,
( spl251_1
| ~ spl251_3
| ~ spl251_4
| ~ spl251_5 ),
inference(sat_conversion,[],[f2874]) ).
cnf(s12,plain,
( spl251_2
| ~ spl251_4
| spl251_11
| ~ spl251_12 ),
inference(sat_conversion,[],[f2887]) ).
cnf(s13,plain,
( spl251_2
| ~ spl251_4
| ~ spl251_12
| spl251_13 ),
inference(sat_conversion,[],[f2892]) ).
cnf(s14,plain,
spl251_12,
inference(sat_conversion,[],[f2899]) ).
cnf(s17,plain,
( ~ spl251_4
| ~ spl251_7
| ~ spl251_8
| ~ spl251_9
| ~ spl251_10
| ~ spl251_11
| ~ spl251_12
| ~ spl251_13 ),
inference(sat_conversion,[],[f3633]) ).
cnf(s19,plain,
( spl251_2
| ~ spl251_4
| spl251_13 ),
inference(rat,[],[s13,s14]) ).
cnf(s20,plain,
( spl251_2
| ~ spl251_4
| spl251_11 ),
inference(rat,[],[s12,s14]) ).
cnf(s21,plain,
spl251_10,
inference(rat,[],[s5,s6]) ).
cnf(s22,plain,
spl251_8,
inference(rat,[],[s4,s7]) ).
cnf(s24,plain,
( spl251_1
| spl251_3 ),
inference(rat,[],[s2,s9,s8]) ).
cnf(s25,plain,
spl251_1,
inference(rat,[],[s24,s11,s8,s9]) ).
cnf(s26,plain,
~ spl251_2,
inference(rat,[],[s1,s25]) ).
cnf(s27,plain,
spl251_13,
inference(rat,[],[s19,s8,s26]) ).
cnf(s28,plain,
spl251_11,
inference(rat,[],[s20,s8,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s17,s22,s14,s21,s6,s7,s8,s27,s28]) ).
fof(f3634,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB032+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:09:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.05/1.36 % (612451)Detected formulas, will run a generic FOF schedule.
% 3.05/1.36 % (612462)dis-21_1_sil=8000:lcm=predicate:random_seed=3840747446:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.05/1.36 % (612462)Instruction limit reached!
% 3.05/1.36 % (612462)------------------------------
% 3.05/1.36 % (612462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.36 % (612462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.36 % (612462)CaDiCaL version: 2.1.3
% 3.05/1.36 % (612462)Termination reason: Instruction limit
% 3.05/1.36 % (612462)Termination phase: Saturation
% 3.05/1.36 % (612462)Time elapsed: 0.038 s
% 3.05/1.36 % (612462)Peak memory usage: 91 MB
% 3.05/1.36 % (612462)Instructions burned: 132 (million)
% 3.05/1.36 % (612458)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=540940656:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.05/1.36 % (612456)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=265195411:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.05/1.36 % (612461)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=706423534:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.05/1.36 % (612459)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3320550287:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.05/1.36 % (612460)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3781154842:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.05/1.36 % (612457)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=233288171:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.05/1.36 % (612459)Refutation not found, incomplete strategy
% 3.05/1.36 % (612459)------------------------------
% 3.05/1.36 % (612459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.36 % (612459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.36 % (612459)CaDiCaL version: 2.1.3
% 3.05/1.36 % (612459)Termination reason: Refutation not found, incomplete strategy
% 3.05/1.36 % (612459)Time elapsed: 0.003 s
% 3.05/1.36 % (612459)Peak memory usage: 88 MB
% 3.05/1.36 % (612459)Instructions burned: 3 (million)
% 3.05/1.36 % (612461)First to succeed.
% 3.05/1.36 % (612460)Instruction limit reached!
% 3.05/1.36 % (612460)------------------------------
% 3.05/1.36 % (612460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.36 % (612460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.36 % (612460)CaDiCaL version: 2.1.3
% 3.05/1.36 % (612460)Termination reason: Instruction limit
% 3.05/1.36 % (612460)Termination phase: Saturation
% 3.05/1.36 % (612460)Time elapsed: 0.056 s
% 3.05/1.36 % (612460)Peak memory usage: 88 MB
% 3.05/1.36 % (612460)Instructions burned: 119 (million)
% 3.05/1.36 % (612461)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-612451"
% 3.05/1.36 % (612470)lrs+10_1_sil=8000:sp=occurrence:random_seed=3438550953:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.05/1.36 % (612470)Also succeeded, but the first one will report.
% 3.05/1.36 % (612471)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3460084501:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.05/1.36 % (612471)Refutation not found, incomplete strategy
% 3.05/1.36 % (612471)------------------------------
% 3.05/1.36 % (612471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.36 % (612471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.36 % (612471)CaDiCaL version: 2.1.3
% 3.05/1.36 % (612471)Termination reason: Refutation not found, incomplete strategy
% 3.05/1.36 % (612471)Time elapsed: 0.005 s
% 3.05/1.36 % (612471)Peak memory usage: 89 MB
% 3.05/1.36 % (612471)Instructions burned: 6 (million)
% 3.05/1.36 % (612459)------------------------------
% 3.05/1.36 % (612459)------------------------------
% 3.05/1.36 % (612461)Refutation found. Thanks to Tanya!
% 3.05/1.36 % SZS status Theorem for theBenchmark
% 3.05/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 4.11/1.55 % (612461)------------------------------
% 4.11/1.55 % (612461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.55 % (612461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.55 % (612461)CaDiCaL version: 2.1.3
% 4.11/1.55 % (612461)Termination reason: Refutation
% 4.11/1.55 % (612461)Time elapsed: 0.057 s
% 4.11/1.55 % (612461)Peak memory usage: 91 MB
% 4.11/1.55 % (612461)Instructions burned: 96 (million)
% 4.11/1.55 % (612461)------------------------------
% 4.11/1.55 % (612461)------------------------------
% 4.11/1.55 % (612451)Success in time 0.512 s
% 4.11/1.55 % Vampire exiting
%------------------------------------------------------------------------------