TSTP Solution File: SWB008+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB008+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 : n015.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 20:13:21 EDT 2023

% Result   : Theorem 7.81s 1.57s
% Output   : Refutation 7.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (  13 unt;   0 def)
%            Number of atoms       :  112 (  20 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  116 (  40   ~;  34   |;  29   &)
%                                         (  10 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   67 (;  58   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f93547,plain,
    $false,
    inference(subsumption_resolution,[],[f93297,f3753]) ).

fof(f3753,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f3041]) ).

fof(f3041,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1811]) ).

fof(f1811,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f831]) ).

fof(f831,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    inference(rectify,[],[f354]) ).

fof(f354,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_sameAs,X3,X6)
    <=> X3 = X6 ),
    file('/export/starexec/sandbox2/tmp/tmp.EkkXgGTRgE/Vampire---4.8_18338',owl_eqdis_sameas) ).

fof(f93297,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
    inference(backward_demodulation,[],[f2287,f93057]) ).

fof(f93057,plain,
    uri_ex_bob = uri_ex_robert,
    inference(unit_resulting_resolution,[],[f10753,f2481,f2482,f2662]) ).

fof(f2662,plain,
    ! [X0,X6,X4,X5] :
      ( ~ iext(X0,X5,X6)
      | X4 = X5
      | ~ iext(X0,X4,X6)
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f1640]) ).

fof(f1640,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ( sK186(X0) != sK187(X0)
          & iext(X0,sK187(X0),sK188(X0))
          & iext(X0,sK186(X0),sK188(X0)) ) )
      & ( ! [X4,X5,X6] :
            ( X4 = X5
            | ~ iext(X0,X5,X6)
            | ~ iext(X0,X4,X6) )
        | ~ sP4(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK186,sK187,sK188])],[f1638,f1639]) ).

fof(f1639,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X1 != X2
          & iext(X0,X2,X3)
          & iext(X0,X1,X3) )
     => ( sK186(X0) != sK187(X0)
        & iext(X0,sK187(X0),sK188(X0))
        & iext(X0,sK186(X0),sK188(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1638,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) ) )
      & ( ! [X4,X5,X6] :
            ( X4 = X5
            | ~ iext(X0,X5,X6)
            | ~ iext(X0,X4,X6) )
        | ~ sP4(X0) ) ),
    inference(rectify,[],[f1637]) ).

fof(f1637,plain,
    ! [X0] :
      ( ( sP4(X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) ) )
      & ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        | ~ sP4(X0) ) ),
    inference(nnf_transformation,[],[f1337]) ).

fof(f1337,plain,
    ! [X0] :
      ( sP4(X0)
    <=> ! [X1,X2,X3] :
          ( X1 = X2
          | ~ iext(X0,X2,X3)
          | ~ iext(X0,X1,X3) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f2482,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox2/tmp/tmp.EkkXgGTRgE/Vampire---4.8_18338',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f2481,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f561]) ).

fof(f10753,plain,
    sP4(uri_foaf_mbox_sha1sum),
    inference(unit_resulting_resolution,[],[f8565,f2667]) ).

fof(f2667,plain,
    ! [X0] :
      ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f1642]) ).

fof(f1642,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ sP4(X0)
        | ~ ip(X0) )
      & ( ( sP4(X0)
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f1641]) ).

fof(f1641,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ sP4(X0)
        | ~ ip(X0) )
      & ( ( sP4(X0)
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f1338]) ).

fof(f1338,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( sP4(X0)
        & ip(X0) ) ),
    inference(definition_folding,[],[f1021,f1337]) ).

fof(f1021,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(flattening,[],[f1020]) ).

fof(f1020,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f684]) ).

fof(f684,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    inference(rectify,[],[f394]) ).

fof(f394,axiom,
    ! [X1] :
      ( icext(uri_owl_InverseFunctionalProperty,X1)
    <=> ( ! [X36,X37,X6] :
            ( ( iext(X1,X37,X6)
              & iext(X1,X36,X6) )
           => X36 = X37 )
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.EkkXgGTRgE/Vampire---4.8_18338',owl_char_inversefunctional) ).

fof(f8565,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
    inference(unit_resulting_resolution,[],[f2480,f3070]) ).

fof(f3070,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/sandbox2/tmp/tmp.EkkXgGTRgE/Vampire---4.8_18338',rdfs_cext_def) ).

fof(f2480,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f2287,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox2/tmp/tmp.EkkXgGTRgE/Vampire---4.8_18338',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17  % Problem    : SWB008+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.18  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.39  % Computer : n015.cluster.edu
% 0.18/0.39  % Model    : x86_64 x86_64
% 0.18/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39  % Memory   : 8042.1875MB
% 0.18/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39  % CPULimit   : 300
% 0.18/0.39  % WCLimit    : 300
% 0.18/0.39  % DateTime   : Sun Aug 27 07:15:54 EDT 2023
% 0.18/0.39  % CPUTime    : 
% 0.18/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.18/0.40  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.EkkXgGTRgE/Vampire---4.8_18338
% 0.18/0.40  % (18539)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.48  % (18543)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)
% 0.25/0.48  % (18545)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)
% 0.25/0.48  % (18541)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)
% 0.25/0.48  % (18548)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)
% 0.25/0.48  % (18544)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)
% 0.25/0.48  % (18547)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)
% 0.25/0.51  % (18548)Refutation not found, incomplete strategy% (18548)------------------------------
% 0.25/0.51  % (18548)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.51  % (18548)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.51  % (18548)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.51  
% 0.25/0.51  % (18548)Memory used [KB]: 4093
% 0.25/0.51  % (18548)Time elapsed: 0.036 s
% 0.25/0.51  % (18548)------------------------------
% 0.25/0.51  % (18548)------------------------------
% 0.25/0.52  % (18540)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)
% 0.25/0.57  % (18549)dis-1002_6_acc=on:anc=none:bce=on:cond=fast:drc=off:fsd=off:fde=none:gsp=on:irw=on:sac=on:sp=scramble:tgt=ground:urr=ec_only_401 on Vampire---4 for (401ds/0Mi)
% 7.81/1.57  % (18540)First to succeed.
% 7.81/1.57  % (18540)Refutation found. Thanks to Tanya!
% 7.81/1.57  % SZS status Theorem for Vampire---4
% 7.81/1.57  % SZS output start Proof for Vampire---4
% See solution above
% 7.81/1.57  % (18540)------------------------------
% 7.81/1.57  % (18540)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 7.81/1.57  % (18540)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 7.81/1.57  % (18540)Termination reason: Refutation
% 7.81/1.57  
% 7.81/1.57  % (18540)Memory used [KB]: 52707
% 7.81/1.57  % (18540)Time elapsed: 1.038 s
% 7.81/1.57  % (18540)------------------------------
% 7.81/1.57  % (18540)------------------------------
% 7.81/1.57  % (18539)Success in time 1.168 s
% 7.81/1.57  % Vampire---4.8 exiting
%------------------------------------------------------------------------------