TSTP Solution File: SWB005+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB005+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 : n019.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 18:36:09 EDT 2022

% Result   : Theorem 1.38s 0.54s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   70 (  16 unt;   0 def)
%            Number of atoms       :  166 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  151 (  55   ~;  59   |;  20   &)
%                                         (  15 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f117,plain,
    $false,
    inference(avatar_sat_refutation,[],[f60,f72,f74,f85,f92,f98,f104,f110,f116]) ).

fof(f116,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f111]) ).

fof(f111,plain,
    ( $false
    | spl0_8 ),
    inference(unit_resulting_resolution,[],[f71,f59]) ).

fof(f59,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl0_8
  <=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f71,plain,
    ! [X1] : iext(uri_rdf_type,X1,uri_rdfs_Resource),
    inference(resolution,[],[f30,f62]) ).

fof(f62,plain,
    ! [X0] : icext(uri_rdfs_Resource,X0),
    inference(resolution,[],[f25,f32]) ).

fof(f32,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f25,plain,
    ! [X0] :
      ( ~ ir(X0)
      | icext(uri_rdfs_Resource,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ( icext(uri_rdfs_Resource,X0)
        | ~ ir(X0) )
      & ( ir(X0)
        | ~ icext(uri_rdfs_Resource,X0) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( icext(uri_rdfs_Resource,X0)
    <=> ir(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_ir_def) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) )
      & ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X1,X0] :
      ( ( icext(X0,X1)
        | ~ iext(uri_rdf_type,X1,X0) )
      & ( iext(uri_rdf_type,X1,X0)
        | ~ icext(X0,X1) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X1,X0] :
      ( icext(X0,X1)
    <=> iext(uri_rdf_type,X1,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X4,X0] :
      ( iext(uri_rdf_type,X0,X4)
    <=> icext(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f110,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f105]) ).

fof(f105,plain,
    ( $false
    | spl0_7 ),
    inference(unit_resulting_resolution,[],[f71,f56]) ).

fof(f56,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl0_7
  <=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f104,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f99]) ).

fof(f99,plain,
    ( $false
    | spl0_6 ),
    inference(unit_resulting_resolution,[],[f71,f53]) ).

fof(f53,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_6
  <=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f98,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f94]) ).

fof(f94,plain,
    ( $false
    | spl0_5 ),
    inference(unit_resulting_resolution,[],[f61,f50,f30]) ).

fof(f50,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_5
  <=> iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f61,plain,
    ! [X0] : icext(uri_owl_Thing,X0),
    inference(resolution,[],[f22,f32]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ ir(X0)
      | icext(uri_owl_Thing,X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) )
      & ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ir(X0)
    <=> icext(uri_owl_Thing,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(f92,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f87]) ).

fof(f87,plain,
    ( $false
    | spl0_4 ),
    inference(unit_resulting_resolution,[],[f35,f47,f76]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X0,X1,X2)
      | iext(uri_rdf_type,X0,uri_owl_ObjectProperty) ),
    inference(resolution,[],[f64,f30]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( icext(uri_owl_ObjectProperty,X0)
      | ~ iext(X0,X1,X2) ),
    inference(resolution,[],[f29,f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ ip(X0)
      | icext(uri_owl_ObjectProperty,X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ( icext(uri_owl_ObjectProperty,X0)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ icext(uri_owl_ObjectProperty,X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( icext(uri_owl_ObjectProperty,X0)
    <=> ip(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ip(X2)
      | ~ iext(X2,X1,X0) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ~ iext(X2,X1,X0)
      | ip(X2) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X2,X1,X0] :
      ( iext(X2,X1,X0)
     => ip(X2) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X1,X2] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).

fof(f47,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl0_4
  <=> iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f35,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

fof(f85,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f81,plain,
    ( $false
    | spl0_3 ),
    inference(unit_resulting_resolution,[],[f35,f44,f67]) ).

fof(f67,plain,
    ! [X2,X3,X1] :
      ( ~ iext(X1,X2,X3)
      | iext(uri_rdf_type,X1,uri_rdf_Property) ),
    inference(resolution,[],[f34,f29]) ).

fof(f34,plain,
    ! [X0] :
      ( ~ ip(X0)
      | iext(uri_rdf_type,X0,uri_rdf_Property) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ( iext(uri_rdf_type,X0,uri_rdf_Property)
        | ~ ip(X0) )
      & ( ip(X0)
        | ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2] :
      ( ip(X2)
    <=> iext(uri_rdf_type,X2,uri_rdf_Property) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f44,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_3
  <=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f74,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f73]) ).

fof(f73,plain,
    ( $false
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f61,f41,f30]) ).

fof(f41,plain,
    ( ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_2
  <=> iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f72,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f61,f38,f30]) ).

fof(f38,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f60,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f28,f58,f55,f52,f49,f46,f43,f40,f37]) ).

fof(f28,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWB005+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n019.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   : Tue Aug 30 17:28:20 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (18419)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)
% 0.21/0.52  % (18424)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52  % (18416)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.52  % (18418)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.53  % (18441)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53  % (18432)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.53  % (18432)Refutation not found, incomplete strategy% (18432)------------------------------
% 0.21/0.53  % (18432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (18432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (18432)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (18432)Memory used [KB]: 5884
% 0.21/0.53  % (18432)Time elapsed: 0.124 s
% 0.21/0.53  % (18432)Instructions burned: 1 (million)
% 0.21/0.53  % (18432)------------------------------
% 0.21/0.53  % (18432)------------------------------
% 0.21/0.53  % (18441)First to succeed.
% 0.21/0.53  % (18436)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.53  % (18428)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54  % (18424)Also succeeded, but the first one will report.
% 1.38/0.54  % (18441)Refutation found. Thanks to Tanya!
% 1.38/0.54  % SZS status Theorem for theBenchmark
% 1.38/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.54  % (18441)------------------------------
% 1.38/0.54  % (18441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (18441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (18441)Termination reason: Refutation
% 1.38/0.54  
% 1.38/0.54  % (18441)Memory used [KB]: 5884
% 1.38/0.54  % (18441)Time elapsed: 0.124 s
% 1.38/0.54  % (18441)Instructions burned: 3 (million)
% 1.38/0.54  % (18441)------------------------------
% 1.38/0.54  % (18441)------------------------------
% 1.38/0.54  % (18410)Success in time 0.18 s
%------------------------------------------------------------------------------