TSTP Solution File: SWB016+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB016+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 : n010.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 18:36:23 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   59 (  12 unt;   0 def)
%            Number of atoms       :  151 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  144 (  52   ~;  48   |;  21   &)
%                                         (  15 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   76 (  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f125,plain,
    $false,
    inference(avatar_sat_refutation,[],[f79,f83,f124]) ).

fof(f124,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f123]) ).

fof(f123,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f114,f57]) ).

fof(f57,plain,
    ( iext(uri_owl_equivalentClass,sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl4_1
  <=> iext(uri_owl_equivalentClass,sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f114,plain,
    ( ~ iext(uri_owl_equivalentClass,sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f99,f100,f30]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X0,X1)
      | ~ icext(X0,X2)
      | icext(X1,X2) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( ( ic(X1)
        & ic(X0)
        & ! [X2] :
            ( icext(X1,X2)
          <=> icext(X0,X2) ) )
    <=> iext(uri_owl_equivalentClass,X0,X1) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X4,X5] :
      ( iext(uri_owl_equivalentClass,X4,X5)
    <=> ( ! [X1] :
            ( icext(X5,X1)
          <=> icext(X4,X1) )
        & ic(X5)
        & ic(X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(f100,plain,
    ( ~ icext(sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK0(sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass)))
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f85,f84,f80,f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ icext(X0,sK0(X0,X1))
      | ~ ic(X1)
      | iext(uri_rdfs_subClassOf,X1,X0)
      | ~ ic(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X1,X0] :
      ( iext(uri_rdfs_subClassOf,X1,X0)
    <=> ( ic(X0)
        & ! [X2] :
            ( ~ icext(X1,X2)
            | icext(X0,X2) )
        & ic(X1) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ! [X2] :
            ( icext(X1,X2)
           => icext(X0,X2) )
        & ic(X1) )
    <=> iext(uri_rdfs_subClassOf,X1,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X5,X4] :
      ( iext(uri_rdfs_subClassOf,X4,X5)
    <=> ( ! [X1] :
            ( icext(X4,X1)
           => icext(X5,X1) )
        & ic(X4)
        & ic(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(f80,plain,
    ( ~ iext(uri_rdfs_subClassOf,sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f44,f43,f60,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ iext(X0,sK2(X0,X1),sK3(X0,X1))
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X1,X0)
      | ~ ip(X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X1,X0] :
      ( iext(uri_rdfs_subPropertyOf,X1,X0)
    <=> ( ! [X3,X2] :
            ( ~ iext(X1,X3,X2)
            | iext(X0,X3,X2) )
        & ip(X0)
        & ip(X1) ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X1,X0)
    <=> ( ip(X1)
        & ! [X3,X2] :
            ( iext(X1,X3,X2)
           => iext(X0,X3,X2) )
        & ip(X0) ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X7,X6] :
      ( iext(uri_rdfs_subPropertyOf,X6,X7)
    <=> ( ip(X6)
        & ! [X3,X1] :
            ( iext(X6,X1,X3)
           => iext(X7,X1,X3) )
        & ip(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).

fof(f60,plain,
    ( ip(uri_rdfs_subClassOf)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl4_2
  <=> ip(uri_rdfs_subClassOf) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f43,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(flattening,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).

fof(f44,plain,
    ip(uri_owl_equivalentClass),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ip(uri_owl_equivalentClass),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).

fof(f84,plain,
    ( ic(sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass))
    | ~ spl4_1 ),
    inference(unit_resulting_resolution,[],[f57,f46]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X1,X0)
      | ic(X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( ic(X1)
        & ic(X0) )
      | ~ iext(uri_owl_equivalentClass,X1,X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( iext(uri_owl_equivalentClass,X1,X0)
     => ( ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X3,X1] :
      ( iext(uri_owl_equivalentClass,X1,X3)
     => ( ic(X3)
        & ic(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).

fof(f85,plain,
    ( ic(sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
    | ~ spl4_1 ),
    inference(unit_resulting_resolution,[],[f57,f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_equivalentClass,X1,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f99,plain,
    ( icext(sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK0(sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass)))
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f84,f85,f80,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X1,X0)
      | ~ ic(X1)
      | ~ ic(X0)
      | icext(X1,sK0(X0,X1)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f83,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f81,f59,f55]) ).

fof(f81,plain,
    ( iext(uri_owl_equivalentClass,sK2(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
    | ~ spl4_2 ),
    inference(unit_resulting_resolution,[],[f44,f43,f60,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( iext(X1,sK2(X0,X1),sK3(X0,X1))
      | iext(uri_rdfs_subPropertyOf,X1,X0)
      | ~ ip(X0)
      | ~ ip(X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f79,plain,
    spl4_2,
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | spl4_2 ),
    inference(subsumption_resolution,[],[f74,f42]) ).

fof(f42,plain,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_domain) ).

fof(f74,plain,
    ( ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f51,f70,f36]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_domain,X2,X1)
      | ~ iext(X2,X0,X3)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X3,X1,X0,X2] :
      ( ~ iext(uri_rdfs_domain,X2,X1)
      | ~ iext(X2,X0,X3)
      | icext(X1,X0) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X0,X3,X1,X2] :
      ( icext(X1,X0)
      | ~ iext(uri_rdfs_domain,X2,X1)
      | ~ iext(X2,X0,X3) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X3,X1,X2] :
      ( ( iext(uri_rdfs_domain,X2,X1)
        & iext(X2,X0,X3) )
     => icext(X1,X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X2,X0,X3] :
      ( ( iext(X0,X1,X3)
        & iext(uri_rdfs_domain,X0,X2) )
     => icext(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).

fof(f70,plain,
    ( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f65,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f65,plain,
    ( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
    | spl4_2 ),
    inference(unit_resulting_resolution,[],[f61,f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
      | ip(X0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( iext(uri_rdf_type,X0,uri_rdf_Property)
    <=> ip(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(f61,plain,
    ( ~ ip(uri_rdfs_subClassOf)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f51,plain,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB016+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 17:22:44 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  % (31498)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)
% 0.20/0.46  % (31506)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)
% 0.20/0.46  % (31492)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)
% 0.20/0.47  % (31492)Refutation not found, incomplete strategy% (31492)------------------------------
% 0.20/0.47  % (31492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (31506)Refutation not found, incomplete strategy% (31506)------------------------------
% 0.20/0.47  % (31506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (31492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (31492)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47  
% 0.20/0.47  % (31492)Memory used [KB]: 5884
% 0.20/0.47  % (31492)Time elapsed: 0.050 s
% 0.20/0.47  % (31492)Instructions burned: 1 (million)
% 0.20/0.47  % (31492)------------------------------
% 0.20/0.47  % (31492)------------------------------
% 0.20/0.47  % (31506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (31506)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47  
% 0.20/0.47  % (31506)Memory used [KB]: 1407
% 0.20/0.47  % (31506)Time elapsed: 0.048 s
% 0.20/0.47  % (31506)Instructions burned: 2 (million)
% 0.20/0.47  % (31506)------------------------------
% 0.20/0.47  % (31506)------------------------------
% 0.20/0.47  % (31498)Instruction limit reached!
% 0.20/0.47  % (31498)------------------------------
% 0.20/0.47  % (31498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (31498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (31498)Termination reason: Unknown
% 0.20/0.47  % (31498)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (31498)Memory used [KB]: 6012
% 0.20/0.47  % (31498)Time elapsed: 0.053 s
% 0.20/0.47  % (31498)Instructions burned: 8 (million)
% 0.20/0.47  % (31498)------------------------------
% 0.20/0.47  % (31498)------------------------------
% 0.20/0.50  % (31511)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)
% 0.20/0.51  % (31491)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)
% 0.20/0.51  % (31489)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)
% 0.20/0.51  % (31489)Refutation not found, incomplete strategy% (31489)------------------------------
% 0.20/0.51  % (31489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (31489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (31489)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (31489)Memory used [KB]: 6012
% 0.20/0.51  % (31489)Time elapsed: 0.110 s
% 0.20/0.51  % (31489)Instructions burned: 6 (million)
% 0.20/0.51  % (31489)------------------------------
% 0.20/0.51  % (31489)------------------------------
% 0.20/0.52  % (31491)First to succeed.
% 0.20/0.52  % (31491)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (31491)------------------------------
% 0.20/0.52  % (31491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (31491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (31491)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (31491)Memory used [KB]: 6012
% 0.20/0.52  % (31491)Time elapsed: 0.115 s
% 0.20/0.52  % (31491)Instructions burned: 3 (million)
% 0.20/0.52  % (31491)------------------------------
% 0.20/0.52  % (31491)------------------------------
% 0.20/0.52  % (31482)Success in time 0.167 s
%------------------------------------------------------------------------------