TSTP Solution File: SWB054+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB054+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n028.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 : Thu Aug 31 20:13:57 EDT 2023

% Result   : Theorem 7.67s 1.53s
% Output   : Refutation 7.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (  16 unt;   0 def)
%            Number of atoms       :  122 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  124 (  43   ~;  37   |;  30   &)
%                                         (  11 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (;  54   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f89790,plain,
    $false,
    inference(unit_resulting_resolution,[],[f10700,f2361,f8365,f3803,f3050]) ).

fof(f3050,plain,
    ! [X0,X1] :
      ( ~ icext(X0,sK242(X0,X1))
      | sP38(X0,X1)
      | ~ ic(X0)
      | ~ ic(X1) ),
    inference(cnf_transformation,[],[f1822]) ).

fof(f1822,plain,
    ! [X0,X1] :
      ( ( sP38(X0,X1)
        | ( ~ icext(X0,sK242(X0,X1))
          & icext(X1,sK242(X0,X1)) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP38(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK242])],[f1820,f1821]) ).

fof(f1821,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ icext(X0,X2)
          & icext(X1,X2) )
     => ( ~ icext(X0,sK242(X0,X1))
        & icext(X1,sK242(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1820,plain,
    ! [X0,X1] :
      ( ( sP38(X0,X1)
        | ? [X2] :
            ( ~ icext(X0,X2)
            & icext(X1,X2) )
        | ~ ic(X0)
        | ~ ic(X1) )
      & ( ( ! [X3] :
              ( icext(X0,X3)
              | ~ icext(X1,X3) )
          & ic(X0)
          & ic(X1) )
        | ~ sP38(X0,X1) ) ),
    inference(rectify,[],[f1819]) ).

fof(f1819,plain,
    ! [X1,X0] :
      ( ( sP38(X1,X0)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP38(X1,X0) ) ),
    inference(flattening,[],[f1818]) ).

fof(f1818,plain,
    ! [X1,X0] :
      ( ( sP38(X1,X0)
        | ? [X2] :
            ( ~ icext(X1,X2)
            & icext(X0,X2) )
        | ~ ic(X1)
        | ~ ic(X0) )
      & ( ( ! [X2] :
              ( icext(X1,X2)
              | ~ icext(X0,X2) )
          & ic(X1)
          & ic(X0) )
        | ~ sP38(X1,X0) ) ),
    inference(nnf_transformation,[],[f1392]) ).

fof(f1392,plain,
    ! [X1,X0] :
      ( sP38(X1,X0)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).

fof(f3803,plain,
    ! [X0] : icext(uri_owl_Thing,X0),
    inference(subsumption_resolution,[],[f2629,f2488]) ).

fof(f2488,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f563]) ).

fof(f563,plain,
    ! [X0] : ir(X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3] : ir(X3),
    file('/export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226',simple_ir) ).

fof(f2629,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
      | ~ ir(X0) ),
    inference(cnf_transformation,[],[f1607]) ).

fof(f1607,plain,
    ! [X0] :
      ( ( icext(uri_owl_Thing,X0)
        | ~ ir(X0) )
      & ( ir(X0)
        | ~ icext(uri_owl_Thing,X0) ) ),
    inference(nnf_transformation,[],[f678]) ).

fof(f678,plain,
    ! [X0] :
      ( icext(uri_owl_Thing,X0)
    <=> ir(X0) ),
    inference(rectify,[],[f163]) ).

fof(f163,axiom,
    ! [X3] :
      ( icext(uri_owl_Thing,X3)
    <=> ir(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226',owl_class_thing_ext) ).

fof(f8365,plain,
    ~ sP38(uri_owl_Thing,uri_ex_c),
    inference(unit_resulting_resolution,[],[f2287,f3052]) ).

fof(f3052,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
      | ~ sP38(X1,X0) ),
    inference(cnf_transformation,[],[f1823]) ).

fof(f1823,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_subClassOf,X0,X1)
        | ~ sP38(X1,X0) )
      & ( sP38(X1,X0)
        | ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
    inference(nnf_transformation,[],[f1393]) ).

fof(f1393,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> sP38(X1,X0) ),
    inference(definition_folding,[],[f1167,f1392]) ).

fof(f1167,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X1,X2)
            | ~ icext(X0,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(ennf_transformation,[],[f833]) ).

fof(f833,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subClassOf,X0,X1)
    <=> ( ! [X2] :
            ( icext(X0,X2)
           => icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f343]) ).

fof(f343,axiom,
    ! [X12,X14] :
      ( iext(uri_rdfs_subClassOf,X12,X14)
    <=> ( ! [X3] :
            ( icext(X12,X3)
           => icext(X14,X3) )
        & ic(X14)
        & ic(X12) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226',owl_rdfsext_subclassof) ).

fof(f2287,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
    file('/export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226',conclusion_rdfbased_sem_class_thing_term) ).

fof(f2361,plain,
    ic(uri_owl_Thing),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226',owl_class_thing_type) ).

fof(f10700,plain,
    ic(uri_ex_c),
    inference(unit_resulting_resolution,[],[f8523,f2626]) ).

fof(f2626,plain,
    ! [X0] :
      ( ~ icext(uri_owl_Class,X0)
      | ic(X0) ),
    inference(cnf_transformation,[],[f1606]) ).

fof(f1606,plain,
    ! [X0] :
      ( ( icext(uri_owl_Class,X0)
        | ~ ic(X0) )
      & ( ic(X0)
        | ~ icext(uri_owl_Class,X0) ) ),
    inference(nnf_transformation,[],[f677]) ).

fof(f677,plain,
    ! [X0] :
      ( icext(uri_owl_Class,X0)
    <=> ic(X0) ),
    inference(rectify,[],[f119]) ).

fof(f119,axiom,
    ! [X3] :
      ( icext(uri_owl_Class,X3)
    <=> ic(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226',owl_class_classowl_ext) ).

fof(f8523,plain,
    icext(uri_owl_Class,uri_ex_c),
    inference(unit_resulting_resolution,[],[f2463,f3067]) ).

fof(f3067,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f1836]) ).

fof(f1836,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f836]) ).

fof(f836,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226',rdfs_cext_def) ).

fof(f2463,plain,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
    file('/export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226',premise_rdfbased_sem_class_thing_term) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.18  % Problem    : SWB054+1 : TPTP v8.1.2. Released v5.2.0.
% 0.17/0.19  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.20/0.41  % Computer : n028.cluster.edu
% 0.20/0.41  % Model    : x86_64 x86_64
% 0.20/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.41  % Memory   : 8042.1875MB
% 0.20/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.41  % CPULimit   : 300
% 0.20/0.41  % WCLimit    : 300
% 0.20/0.41  % DateTime   : Sun Aug 27 07:52:38 EDT 2023
% 0.20/0.41  % CPUTime    : 
% 0.20/0.41  This is a FOF_THM_RFO_SEQ problem
% 0.20/0.41  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.zfrvI4gBIn/Vampire---4.8_19226
% 0.20/0.41  % (19532)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.49  % (19543)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.27/0.49  % (19540)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.27/0.50  % (19544)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.27/0.50  % (19546)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.27/0.50  % (19542)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.27/0.50  % (19541)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.27/0.54  % (19545)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 7.61/1.52  % (19540)First to succeed.
% 7.67/1.53  % (19540)Refutation found. Thanks to Tanya!
% 7.67/1.53  % SZS status Theorem for Vampire---4
% 7.67/1.53  % SZS output start Proof for Vampire---4
% See solution above
% 7.67/1.53  % (19540)------------------------------
% 7.67/1.53  % (19540)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 7.67/1.53  % (19540)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 7.67/1.53  % (19540)Termination reason: Refutation
% 7.67/1.53  
% 7.67/1.53  % (19540)Memory used [KB]: 51555
% 7.67/1.53  % (19540)Time elapsed: 1.040 s
% 7.67/1.53  % (19540)------------------------------
% 7.67/1.53  % (19540)------------------------------
% 7.67/1.53  % (19532)Success in time 1.109 s
% 7.67/1.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------