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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB019+2 : 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 : n009.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 01:00:07 PM UTC 2026

% Result   : Unsatisfiable 3.47s 1.45s
% Output   : Refutation 3.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   82 (  29   ~;  24   |;  27   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   36 (  30   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ~ ( iext(X0,X2,X3)
              & iext(X1,X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f2,axiom,
    ( iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
    & iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
    & iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
    & iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
    & iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
    & iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_019_Disjoint_Annotation_Properties) ).

fof(f3,plain,
    ! [X0,X1] :
      ( iext(uri_owl_propertyDisjointWith,X0,X1)
    <=> ( ip(X0)
        & ip(X1)
        & ! [X2,X3] :
            ( ~ iext(X0,X2,X3)
            | ~ iext(X1,X2,X3) ) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f4,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X2,X3] :
              ( ~ iext(X0,X2,X3)
              | ~ iext(X1,X2,X3) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ? [X2,X3] :
            ( iext(X0,X2,X3)
            & iext(X1,X2,X3) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_propertyDisjointWith,X0,X1)
        | ~ ip(X0)
        | ~ ip(X1)
        | ( iext(X0,sK0(X0,X1),sK1(X0,X1))
          & iext(X1,sK0(X0,X1),sK1(X0,X1)) ) )
      & ( ( ip(X0)
          & ip(X1)
          & ! [X4,X5] :
              ( ~ iext(X0,X4,X5)
              | ~ iext(X1,X4,X5) ) )
        | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f6]) ).

fof(f8,plain,
    ! [X0,X1,X4,X5] :
      ( ~ iext(uri_owl_propertyDisjointWith,X0,X1)
      | ~ iext(X1,X4,X5)
      | ~ iext(X0,X4,X5) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f13,plain,
    iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[],[f2]) ).

fof(f14,plain,
    iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(cnf_transformation,[],[f2]) ).

fof(f15,plain,
    iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
    inference(cnf_transformation,[],[f2]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ iext(uri_skos_altLabel,X0,X1)
      | ~ iext(uri_skos_prefLabel,X0,X1) ),
    inference(resolution,[],[f8,f15]) ).

fof(f23,plain,
    ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
    inference(resolution,[],[f20,f13]) ).

fof(f24,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f23,f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB019+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n009.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 07:04:00 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 3.47/1.45  % (2849322)Detected formulas, will run a generic FOF schedule.
% 3.47/1.45  % (2849331)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3951041915:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.47/1.45  % (2849331)Refutation not found, incomplete strategy
% 3.47/1.45  % (2849331)------------------------------
% 3.47/1.45  % (2849331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45  % (2849331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45  % (2849331)CaDiCaL version: 2.1.3
% 3.47/1.45  % (2849331)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.45  % (2849331)Time elapsed: 0.0000 s
% 3.47/1.45  % (2849331)Peak memory usage: 86 MB
% 3.47/1.45  % (2849332)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1979781149:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.47/1.45  % (2849332)First to succeed.
% 3.47/1.45  % (2849332)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2849322"
% 3.47/1.45  % (2849329)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=3784470464:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.47/1.45  % (2849328)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=2043996609:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.47/1.45  % (2849327)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=2157149498:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.47/1.45  % (2849330)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=970650482:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.47/1.45  % (2849330)Refutation not found, incomplete strategy
% 3.47/1.45  % (2849330)------------------------------
% 3.47/1.45  % (2849330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45  % (2849330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45  % (2849330)CaDiCaL version: 2.1.3
% 3.47/1.45  % (2849330)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.45  % (2849330)Time elapsed: 0.0000 s
% 3.47/1.45  % (2849330)Peak memory usage: 86 MB
% 3.47/1.45  % (2849333)dis-21_1_sil=8000:lcm=predicate:random_seed=1180964850: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)
% 3.47/1.45  % (2849333)Also succeeded, but the first one will report.
% 3.47/1.45  % (2849331)------------------------------
% 3.47/1.45  % (2849331)------------------------------
% 3.47/1.45  % (2849341)lrs+10_1_sil=8000:sp=occurrence:random_seed=2681512297:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.47/1.45  % (2849341)Refutation not found, incomplete strategy
% 3.47/1.45  % (2849341)------------------------------
% 3.47/1.45  % (2849341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45  % (2849341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45  % (2849341)CaDiCaL version: 2.1.3
% 3.47/1.45  % (2849341)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.45  % (2849341)Time elapsed: 0.0000 s
% 3.47/1.45  % (2849341)Peak memory usage: 86 MB
% 3.47/1.45  % (2849330)------------------------------
% 3.47/1.45  % (2849330)------------------------------
% 3.47/1.45  % (2849332)Refutation found. Thanks to Tanya!
% 3.47/1.45  % SZS status Unsatisfiable for theBenchmark
% 3.47/1.45  % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.45  % (2849332)------------------------------
% 3.47/1.45  % (2849332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45  % (2849332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45  % (2849332)CaDiCaL version: 2.1.3
% 3.47/1.45  % (2849332)Termination reason: Refutation
% 3.47/1.45  % (2849332)Time elapsed: 0.002 s
% 3.47/1.45  % (2849332)Peak memory usage: 88 MB
% 3.47/1.45  % (2849332)Instructions burned: 1 (million)
% 3.47/1.45  % (2849332)------------------------------
% 3.47/1.45  % (2849332)------------------------------
% 3.47/1.45  % (2849322)Success in time 0.408 s
% 3.47/1.45  % Vampire exiting
%------------------------------------------------------------------------------