TSTP Solution File: SWB024+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n004.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 : Wed Aug 31 18:36:34 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   44 (  11 unt;   0 def)
%            Number of atoms       :  136 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  145 (  53   ~;  42   |;  31   &)
%                                         (  13 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-2 aty)
%            Number of variables   :   73 (  64   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f240,plain,
    $false,
    inference(subsumption_resolution,[],[f239,f25]) ).

fof(f25,plain,
    iext(uri_owl_onProperty,sK0,uri_ex_hasAncestor),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X0,uri_ex_hasAncestor)
      & iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_rdfs_subClassOf,uri_ex_Person,X0)
      & iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
      & iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
      & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ? [X8] :
      ( iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
      & iext(uri_owl_minCardinality,X8,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      & iext(uri_rdf_type,X8,uri_owl_Restriction)
      & iext(uri_rdfs_subClassOf,uri_ex_Person,X8)
      & iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
      & iext(uri_owl_onProperty,X8,uri_ex_hasAncestor)
      & iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
      & iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).

fof(f239,plain,
    ~ iext(uri_owl_onProperty,sK0,uri_ex_hasAncestor),
    inference(subsumption_resolution,[],[f238,f22]) ).

fof(f22,plain,
    iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
    inference(cnf_transformation,[],[f9]) ).

fof(f238,plain,
    ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
    | ~ iext(uri_owl_onProperty,sK0,uri_ex_hasAncestor) ),
    inference(subsumption_resolution,[],[f236,f162]) ).

fof(f162,plain,
    icext(sK0,uri_ex_bob),
    inference(resolution,[],[f51,f46]) ).

fof(f46,plain,
    icext(uri_ex_Person,uri_ex_bob),
    inference(resolution,[],[f35,f20]) ).

fof(f20,plain,
    iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X1,X0)
      | icext(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( icext(X0,X1)
    <=> iext(uri_rdf_type,X1,X0) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( icext(X1,X0)
    <=> iext(uri_rdf_type,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f51,plain,
    ! [X0] :
      ( ~ icext(uri_ex_Person,X0)
      | icext(sK0,X0) ),
    inference(resolution,[],[f38,f23]) ).

fof(f23,plain,
    iext(uri_rdfs_subClassOf,uri_ex_Person,sK0),
    inference(cnf_transformation,[],[f9]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_rdfs_subClassOf,X0,X1)
      | icext(X1,X2)
      | ~ icext(X0,X2) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X0)
        & ic(X1) )
    <=> iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X0)
        & ic(X1) )
    <=> iext(uri_rdfs_subClassOf,X0,X1) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X5,X6] :
      ( ( ic(X5)
        & ic(X6)
        & ! [X0] :
            ( icext(X5,X0)
           => icext(X6,X0) ) )
    <=> iext(uri_rdfs_subClassOf,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f236,plain,
    ( ~ icext(sK0,uri_ex_bob)
    | ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
    | ~ iext(uri_owl_onProperty,sK0,uri_ex_hasAncestor) ),
    inference(duplicate_literal_removal,[],[f234]) ).

fof(f234,plain,
    ( ~ icext(sK0,uri_ex_bob)
    | ~ iext(uri_owl_onProperty,sK0,uri_ex_hasAncestor)
    | ~ iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob)
    | ~ icext(sK0,uri_ex_bob) ),
    inference(resolution,[],[f233,f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( iext(X0,X1,sK1(X0,X1))
      | ~ iext(uri_owl_onProperty,sK0,X0)
      | ~ icext(sK0,X1) ),
    inference(resolution,[],[f29,f24]) ).

fof(f24,plain,
    iext(uri_owl_minCardinality,sK0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f9]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | iext(X1,X2,sK1(X1,X2))
      | ~ icext(X0,X2) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( icext(X0,X2)
        <=> ? [X3] : iext(X1,X2,X3) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( icext(X0,X2)
        <=> ? [X3] : iext(X1,X2,X3) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X1,X0] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X2] :
          ( icext(X0,X2)
        <=> ? [X3] : iext(X1,X2,X3) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X3] :
      ( ( iext(uri_owl_onProperty,X2,X3)
        & iext(uri_owl_minCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X0] :
          ( ? [X4] : iext(X3,X0,X4)
        <=> icext(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).

fof(f233,plain,
    ! [X16] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_bob,sK1(uri_ex_hasAncestor,X16))
      | ~ icext(sK0,X16)
      | ~ iext(uri_ex_hasAncestor,uri_ex_alice,X16) ),
    inference(subsumption_resolution,[],[f232,f49]) ).

fof(f49,plain,
    icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
    inference(resolution,[],[f35,f27]) ).

fof(f27,plain,
    iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
    inference(cnf_transformation,[],[f9]) ).

fof(f232,plain,
    ! [X16] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_bob,sK1(uri_ex_hasAncestor,X16))
      | ~ icext(sK0,X16)
      | ~ iext(uri_ex_hasAncestor,uri_ex_alice,X16)
      | ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor) ),
    inference(subsumption_resolution,[],[f225,f25]) ).

fof(f225,plain,
    ! [X16] :
      ( ~ icext(sK0,X16)
      | ~ iext(uri_ex_hasAncestor,uri_ex_alice,X16)
      | ~ iext(uri_owl_onProperty,sK0,uri_ex_hasAncestor)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,sK1(uri_ex_hasAncestor,X16))
      | ~ icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor) ),
    inference(resolution,[],[f176,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
      | ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
      | ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ~ ? [X0] :
        ( iext(uri_ex_hasAncestor,uri_ex_alice,X0)
        & iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
    inference(rectify,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ? [X7] :
        ( iext(uri_ex_hasAncestor,uri_ex_alice,X7)
        & iext(uri_ex_hasAncestor,uri_ex_bob,X7) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ? [X7] :
      ( iext(uri_ex_hasAncestor,uri_ex_alice,X7)
      & iext(uri_ex_hasAncestor,uri_ex_bob,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( iext(X0,X2,sK1(X0,X1))
      | ~ iext(X0,X2,X1)
      | ~ icext(uri_owl_TransitiveProperty,X0)
      | ~ iext(uri_owl_onProperty,sK0,X0)
      | ~ icext(sK0,X1) ),
    inference(resolution,[],[f161,f30]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(X0,X3,X2)
      | ~ icext(uri_owl_TransitiveProperty,X0)
      | iext(X0,X1,X2)
      | ~ iext(X0,X1,X3) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ( ip(X0)
        & ! [X3,X2,X1] :
            ( ~ iext(X0,X3,X2)
            | iext(X0,X1,X2)
            | ~ iext(X0,X1,X3) ) )
    <=> icext(uri_owl_TransitiveProperty,X0) ),
    inference(flattening,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ( ip(X0)
        & ! [X3,X2,X1] :
            ( iext(X0,X1,X2)
            | ~ iext(X0,X1,X3)
            | ~ iext(X0,X3,X2) ) )
    <=> icext(uri_owl_TransitiveProperty,X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ( ip(X0)
        & ! [X3,X2,X1] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X3,X2) )
           => iext(X0,X1,X2) ) )
    <=> icext(uri_owl_TransitiveProperty,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3] :
      ( icext(uri_owl_TransitiveProperty,X3)
    <=> ( ip(X3)
        & ! [X0,X2,X4] :
            ( ( iext(X3,X4,X2)
              & iext(X3,X0,X4) )
           => iext(X3,X0,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_transitive) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWB024+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 17:31:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.51  % (24828)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.51  % (24820)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51  % (24826)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.51  % (24826)First to succeed.
% 0.21/0.51  % (24820)Instruction limit reached!
% 0.21/0.51  % (24820)------------------------------
% 0.21/0.51  % (24820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (24820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (24820)Termination reason: Unknown
% 0.21/0.51  % (24820)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (24820)Memory used [KB]: 5884
% 0.21/0.51  % (24820)Time elapsed: 0.056 s
% 0.21/0.51  % (24820)Instructions burned: 3 (million)
% 0.21/0.51  % (24820)------------------------------
% 0.21/0.51  % (24820)------------------------------
% 0.21/0.51  % (24812)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.51  % (24812)Refutation not found, incomplete strategy% (24812)------------------------------
% 0.21/0.51  % (24812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (24812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (24812)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51  
% 0.21/0.51  % (24812)Memory used [KB]: 5884
% 0.21/0.51  % (24812)Time elapsed: 0.002 s
% 0.21/0.51  % (24812)Instructions burned: 1 (million)
% 0.21/0.51  % (24812)------------------------------
% 0.21/0.51  % (24812)------------------------------
% 0.21/0.52  % (24834)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.52  % (24815)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.52  % (24834)Refutation not found, incomplete strategy% (24834)------------------------------
% 0.21/0.52  % (24834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (24834)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (24834)Memory used [KB]: 6012
% 0.21/0.52  % (24834)Time elapsed: 0.107 s
% 0.21/0.52  % (24834)Instructions burned: 3 (million)
% 0.21/0.52  % (24834)------------------------------
% 0.21/0.52  % (24834)------------------------------
% 0.21/0.52  % (24818)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52  % (24818)Refutation not found, incomplete strategy% (24818)------------------------------
% 0.21/0.52  % (24818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24816)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.52  % (24818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (24818)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52  
% 0.21/0.52  % (24818)Memory used [KB]: 1407
% 0.21/0.52  % (24818)Time elapsed: 0.105 s
% 0.21/0.52  % (24818)Instructions burned: 2 (million)
% 0.21/0.52  % (24818)------------------------------
% 0.21/0.52  % (24818)------------------------------
% 0.21/0.52  % (24814)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52  % (24828)Also succeeded, but the first one will report.
% 0.21/0.53  % (24826)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (24826)------------------------------
% 0.21/0.53  % (24826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (24826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (24826)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (24826)Memory used [KB]: 6012
% 0.21/0.53  % (24826)Time elapsed: 0.101 s
% 0.21/0.53  % (24826)Instructions burned: 5 (million)
% 0.21/0.53  % (24826)------------------------------
% 0.21/0.53  % (24826)------------------------------
% 0.21/0.53  % (24805)Success in time 0.16 s
%------------------------------------------------------------------------------