TSTP Solution File: SWB030+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB030+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 : n018.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 18:36:41 EDT 2022

% Result   : Unsatisfiable 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   49 (   5 unt;   0 def)
%            Number of atoms       :  157 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  174 (  66   ~;  60   |;  30   &)
%                                         (  12 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   79 (  76   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f65,plain,
    $false,
    inference(avatar_sat_refutation,[],[f41,f44,f48,f64]) ).

fof(f64,plain,
    ( ~ spl1_1
    | ~ spl1_3 ),
    inference(avatar_contradiction_clause,[],[f63]) ).

fof(f63,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_3 ),
    inference(subsumption_resolution,[],[f62,f59]) ).

fof(f59,plain,
    ( icext(uri_ex_c,uri_ex_c)
    | ~ spl1_1 ),
    inference(factoring,[],[f53]) ).

fof(f53,plain,
    ( ! [X0] :
        ( icext(uri_ex_c,X0)
        | icext(X0,X0) )
    | ~ spl1_1 ),
    inference(resolution,[],[f50,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( icext(sK0,X0)
      | icext(uri_ex_c,X0) ),
    inference(resolution,[],[f21,f22]) ).

fof(f22,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK0),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_owl_onProperty,sK0,uri_rdf_type)
    & iext(uri_rdf_type,sK0,uri_owl_Restriction)
    & iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_complementOf,uri_ex_c,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f15]) ).

fof(f15,plain,
    ( ? [X0] :
        ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
        & iext(uri_owl_onProperty,X0,uri_rdf_type)
        & iext(uri_rdf_type,X0,uri_owl_Restriction)
        & iext(uri_owl_hasSelf,X0,literal_typed(dat_str_true,uri_xsd_boolean))
        & iext(uri_owl_complementOf,uri_ex_c,X0) )
   => ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_onProperty,sK0,uri_rdf_type)
      & iext(uri_rdf_type,sK0,uri_owl_Restriction)
      & iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
      & iext(uri_owl_complementOf,uri_ex_c,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_onProperty,X0,uri_rdf_type)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_owl_hasSelf,X0,literal_typed(dat_str_true,uri_xsd_boolean))
      & iext(uri_owl_complementOf,uri_ex_c,X0) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ? [X5] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,X5)
      & iext(uri_rdf_type,X5,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X5,uri_rdf_type)
      & iext(uri_owl_hasSelf,X5,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X1,X0)
      | icext(X0,X2)
      | icext(X1,X2) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( icext(X1,X2)
            | icext(X0,X2) )
          & ( ~ icext(X0,X2)
            | ~ icext(X1,X2) ) )
      | ~ iext(uri_owl_complementOf,X1,X0) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( icext(X1,X2)
        <=> ~ icext(X0,X2) )
      | ~ iext(uri_owl_complementOf,X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X1,X0)
     => ! [X2] :
          ( icext(X1,X2)
        <=> ~ icext(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X1,X0)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X1,X2)
          <=> ~ icext(X0,X2) ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X2] :
      ( iext(uri_owl_complementOf,X2,X1)
     => ( ! [X0] :
            ( icext(X2,X0)
          <=> ~ icext(X1,X0) )
        & ic(X2)
        & ic(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f50,plain,
    ( ! [X0] :
        ( ~ icext(sK0,X0)
        | icext(X0,X0) )
    | ~ spl1_1 ),
    inference(resolution,[],[f37,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) )
      & ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( icext(X1,X0)
    <=> iext(uri_rdf_type,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f37,plain,
    ( ! [X1] :
        ( iext(uri_rdf_type,X1,X1)
        | ~ icext(sK0,X1) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl1_1
  <=> ! [X1] :
        ( iext(uri_rdf_type,X1,X1)
        | ~ icext(sK0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f62,plain,
    ( ~ icext(uri_ex_c,uri_ex_c)
    | ~ spl1_1
    | ~ spl1_3 ),
    inference(resolution,[],[f60,f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ icext(sK0,X0)
      | ~ icext(uri_ex_c,X0) ),
    inference(resolution,[],[f20,f22]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X1,X0)
      | ~ icext(X1,X2)
      | ~ icext(X0,X2) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f60,plain,
    ( icext(sK0,uri_ex_c)
    | ~ spl1_1
    | ~ spl1_3 ),
    inference(resolution,[],[f59,f51]) ).

fof(f51,plain,
    ( ! [X0] :
        ( ~ icext(X0,X0)
        | icext(sK0,X0) )
    | ~ spl1_3 ),
    inference(resolution,[],[f47,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f47,plain,
    ( ! [X1] :
        ( ~ iext(uri_rdf_type,X1,X1)
        | icext(sK0,X1) )
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl1_3
  <=> ! [X1] :
        ( ~ iext(uri_rdf_type,X1,X1)
        | icext(sK0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f48,plain,
    ( spl1_2
    | spl1_3 ),
    inference(avatar_split_clause,[],[f42,f46,f39]) ).

fof(f39,plain,
    ( spl1_2
  <=> ! [X0] : ~ iext(uri_owl_hasSelf,sK0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X1,X1)
      | icext(sK0,X1)
      | ~ iext(uri_owl_hasSelf,sK0,X0) ),
    inference(resolution,[],[f19,f25]) ).

fof(f25,plain,
    iext(uri_owl_onProperty,sK0,uri_rdf_type),
    inference(cnf_transformation,[],[f16]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X1,X2)
      | ~ iext(uri_owl_hasSelf,X1,X0)
      | icext(X1,X3)
      | ~ iext(X2,X3,X3) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,X1,X2)
      | ! [X3] :
          ( ( icext(X1,X3)
            | ~ iext(X2,X3,X3) )
          & ( iext(X2,X3,X3)
            | ~ icext(X1,X3) ) )
      | ~ iext(uri_owl_hasSelf,X1,X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,plain,
    ! [X0,X2,X1] :
      ( ~ iext(uri_owl_onProperty,X2,X1)
      | ! [X3] :
          ( ( icext(X2,X3)
            | ~ iext(X1,X3,X3) )
          & ( iext(X1,X3,X3)
            | ~ icext(X2,X3) ) )
      | ~ iext(uri_owl_hasSelf,X2,X0) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X2,X1] :
      ( ~ iext(uri_owl_onProperty,X2,X1)
      | ! [X3] :
          ( icext(X2,X3)
        <=> iext(X1,X3,X3) )
      | ~ iext(uri_owl_hasSelf,X2,X0) ),
    inference(flattening,[],[f10]) ).

fof(f10,plain,
    ! [X2,X1,X0] :
      ( ! [X3] :
          ( icext(X2,X3)
        <=> iext(X1,X3,X3) )
      | ~ iext(uri_owl_hasSelf,X2,X0)
      | ~ iext(uri_owl_onProperty,X2,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X2,X1,X0] :
      ( ( iext(uri_owl_hasSelf,X2,X0)
        & iext(uri_owl_onProperty,X2,X1) )
     => ! [X3] :
          ( icext(X2,X3)
        <=> iext(X1,X3,X3) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X4,X3,X2] :
      ( ( iext(uri_owl_onProperty,X2,X3)
        & iext(uri_owl_hasSelf,X2,X4) )
     => ! [X0] :
          ( iext(X3,X0,X0)
        <=> icext(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).

fof(f44,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f43]) ).

fof(f43,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f40,f23]) ).

fof(f23,plain,
    iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f16]) ).

fof(f40,plain,
    ( ! [X0] : ~ iext(uri_owl_hasSelf,sK0,X0)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f41,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f34,f39,f36]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_hasSelf,sK0,X0)
      | iext(uri_rdf_type,X1,X1)
      | ~ icext(sK0,X1) ),
    inference(resolution,[],[f18,f25]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X1,X2)
      | ~ iext(uri_owl_hasSelf,X1,X0)
      | iext(X2,X3,X3)
      | ~ icext(X1,X3) ),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n018.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 17:42:40 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.15/0.47  % (19789)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)
% 0.15/0.47  % (19790)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.47  % (19791)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)
% 0.15/0.47  % (19797)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)
% 0.15/0.47  % (19789)Refutation not found, incomplete strategy% (19789)------------------------------
% 0.15/0.47  % (19789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (19789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (19789)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.47  
% 0.15/0.47  % (19789)Memory used [KB]: 5884
% 0.15/0.47  % (19789)Time elapsed: 0.003 s
% 0.15/0.47  % (19789)Instructions burned: 1 (million)
% 0.15/0.47  % (19789)------------------------------
% 0.15/0.47  % (19789)------------------------------
% 0.15/0.48  % (19798)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)
% 0.15/0.48  % (19799)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.48  % (19790)Refutation not found, incomplete strategy% (19790)------------------------------
% 0.15/0.48  % (19790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (19790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (19790)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (19790)Memory used [KB]: 5884
% 0.15/0.48  % (19790)Time elapsed: 0.004 s
% 0.15/0.48  % (19790)Instructions burned: 1 (million)
% 0.15/0.48  % (19790)------------------------------
% 0.15/0.48  % (19790)------------------------------
% 0.15/0.48  % (19791)Refutation not found, incomplete strategy% (19791)------------------------------
% 0.15/0.48  % (19791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (19791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (19791)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (19791)Memory used [KB]: 5884
% 0.15/0.48  % (19791)Time elapsed: 0.004 s
% 0.15/0.48  % (19791)Instructions burned: 1 (million)
% 0.15/0.48  % (19791)------------------------------
% 0.15/0.48  % (19791)------------------------------
% 0.15/0.48  % (19805)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)
% 0.15/0.48  % (19806)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)
% 0.15/0.48  % (19797)First to succeed.
% 0.15/0.48  % (19807)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.48  % (19806)Refutation not found, incomplete strategy% (19806)------------------------------
% 0.15/0.48  % (19806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (19806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (19806)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (19806)Memory used [KB]: 1407
% 0.15/0.48  % (19806)Time elapsed: 0.003 s
% 0.15/0.48  % (19806)------------------------------
% 0.15/0.48  % (19806)------------------------------
% 0.15/0.48  % (19799)Refutation not found, incomplete strategy% (19799)------------------------------
% 0.15/0.48  % (19799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (19799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (19799)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (19799)Memory used [KB]: 5884
% 0.15/0.48  % (19799)Time elapsed: 0.003 s
% 0.15/0.48  % (19799)Instructions burned: 2 (million)
% 0.15/0.48  % (19799)------------------------------
% 0.15/0.48  % (19799)------------------------------
% 0.15/0.48  % (19807)Also succeeded, but the first one will report.
% 0.15/0.49  % (19797)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (19797)------------------------------
% 0.15/0.49  % (19797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (19797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (19797)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (19797)Memory used [KB]: 5884
% 0.15/0.49  % (19797)Time elapsed: 0.118 s
% 0.15/0.49  % (19797)Instructions burned: 2 (million)
% 0.15/0.49  % (19797)------------------------------
% 0.15/0.49  % (19797)------------------------------
% 0.15/0.49  % (19782)Success in time 0.164 s
%------------------------------------------------------------------------------