TSTP Solution File: SWB077+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB077+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 : n031.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 20:14:01 EDT 2023

% Result   : Theorem 14.91s 2.53s
% Output   : Refutation 14.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   34 (  13 unt;   0 def)
%            Number of atoms       :  115 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  128 (  47   ~;  39   |;  31   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   77 (;  69   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f249913,plain,
    $false,
    inference(unit_resulting_resolution,[],[f5806,f6346,f1801,f158311,f2511]) ).

fof(f2511,plain,
    ! [X0,X1] :
      ( iext(X0,sK81(X0,X1),sK82(X0,X1))
      | iext(uri_rdfs_range,X0,X1)
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1546]) ).

fof(f1546,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ( ~ icext(X1,sK82(X0,X1))
          & iext(X0,sK81(X0,X1),sK82(X0,X1)) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f1544,f1545]) ).

fof(f1545,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( ~ icext(X1,X3)
          & iext(X0,X2,X3) )
     => ( ~ icext(X1,sK82(X0,X1))
        & iext(X0,sK81(X0,X1),sK82(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1544,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X4,X5] :
              ( icext(X1,X5)
              | ~ iext(X0,X4,X5) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(rectify,[],[f1543]) ).

fof(f1543,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(flattening,[],[f1542]) ).

fof(f1542,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdfs_range,X0,X1)
        | ? [X2,X3] :
            ( ~ icext(X1,X3)
            & iext(X0,X2,X3) )
        | ~ ip(X1)
        | ~ ip(X0) )
      & ( ( ! [X2,X3] :
              ( icext(X1,X3)
              | ~ iext(X0,X2,X3) )
          & ip(X1)
          & ip(X0) )
        | ~ iext(uri_rdfs_range,X0,X1) ) ),
    inference(nnf_transformation,[],[f1169]) ).

fof(f1169,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( icext(X1,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f835]) ).

fof(f835,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_range,X0,X1)
    <=> ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => icext(X1,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f342]) ).

fof(f342,axiom,
    ! [X1,X4] :
      ( iext(uri_rdfs_range,X1,X4)
    <=> ( ! [X3,X6] :
            ( iext(X1,X3,X6)
           => icext(X4,X6) )
        & ip(X4)
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Txzq68tBW0/Vampire---4.8_6562',owl_rdfsext_range) ).

fof(f158311,plain,
    ! [X0] : ~ iext(uri_ex_p1,X0,sK82(uri_ex_p1,uri_ex_c)),
    inference(unit_resulting_resolution,[],[f1994,f157639,f2371]) ).

fof(f2371,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
      | ~ iext(X0,X2,X3)
      | iext(X1,X2,X3) ),
    inference(cnf_transformation,[],[f1126]) ).

fof(f1126,plain,
    ! [X0,X1] :
      ( ( ! [X2,X3] :
            ( iext(X1,X2,X3)
            | ~ iext(X0,X2,X3) )
        & ip(X1)
        & ip(X0) )
      | ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(ennf_transformation,[],[f801]) ).

fof(f801,plain,
    ! [X0,X1] :
      ( iext(uri_rdfs_subPropertyOf,X0,X1)
     => ( ! [X2,X3] :
            ( iext(X0,X2,X3)
           => iext(X1,X2,X3) )
        & ip(X1)
        & ip(X0) ) ),
    inference(rectify,[],[f73]) ).

fof(f73,axiom,
    ! [X1,X8] :
      ( iext(uri_rdfs_subPropertyOf,X1,X8)
     => ( ! [X3,X6] :
            ( iext(X1,X3,X6)
           => iext(X8,X3,X6) )
        & ip(X8)
        & ip(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Txzq68tBW0/Vampire---4.8_6562',rdfs_subpropertyof_main) ).

fof(f157639,plain,
    ! [X0] : ~ iext(uri_ex_p2,X0,sK82(uri_ex_p1,uri_ex_c)),
    inference(unit_resulting_resolution,[],[f157377,f3139]) ).

fof(f3139,plain,
    ! [X0,X4,X5] :
      ( ~ iext(X0,X4,X5)
      | ~ sP244(X0,X5) ),
    inference(general_splitting,[],[f2510,f3138_D]) ).

fof(f3138,plain,
    ! [X0,X1,X5] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | icext(X1,X5)
      | sP244(X0,X5) ),
    inference(cnf_transformation,[],[f3138_D]) ).

fof(f3138_D,plain,
    ! [X5,X0] :
      ( ! [X1] :
          ( ~ iext(uri_rdfs_range,X0,X1)
          | icext(X1,X5) )
    <=> ~ sP244(X0,X5) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP244])]) ).

fof(f2510,plain,
    ! [X0,X1,X4,X5] :
      ( icext(X1,X5)
      | ~ iext(X0,X4,X5)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[],[f1546]) ).

fof(f157377,plain,
    sP244(uri_ex_p2,sK82(uri_ex_p1,uri_ex_c)),
    inference(unit_resulting_resolution,[],[f1993,f157274,f3138]) ).

fof(f157274,plain,
    ~ icext(uri_ex_c,sK82(uri_ex_p1,uri_ex_c)),
    inference(unit_resulting_resolution,[],[f5806,f6346,f1801,f2512]) ).

fof(f2512,plain,
    ! [X0,X1] :
      ( ~ icext(X1,sK82(X0,X1))
      | iext(uri_rdfs_range,X0,X1)
      | ~ ip(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f1546]) ).

fof(f1993,plain,
    iext(uri_rdfs_range,uri_ex_p2,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2)
    & iext(uri_rdfs_range,uri_ex_p2,uri_ex_c) ),
    file('/export/starexec/sandbox2/tmp/tmp.Txzq68tBW0/Vampire---4.8_6562',premise_rdfbased_sem_rdfsext_range_subprop) ).

fof(f1994,plain,
    iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
    inference(cnf_transformation,[],[f561]) ).

fof(f1801,plain,
    ~ iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
    file('/export/starexec/sandbox2/tmp/tmp.Txzq68tBW0/Vampire---4.8_6562',conclusion_rdfbased_sem_rdfsext_range_subprop) ).

fof(f6346,plain,
    ip(uri_ex_c),
    inference(unit_resulting_resolution,[],[f1993,f2509]) ).

fof(f2509,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_range,X0,X1)
      | ip(X1) ),
    inference(cnf_transformation,[],[f1546]) ).

fof(f5806,plain,
    ip(uri_ex_p1),
    inference(unit_resulting_resolution,[],[f1994,f2369]) ).

fof(f2369,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
      | ip(X0) ),
    inference(cnf_transformation,[],[f1126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.17  % Problem    : SWB077+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.19  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.19/0.40  % Computer : n031.cluster.edu
% 0.19/0.40  % Model    : x86_64 x86_64
% 0.19/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40  % Memory   : 8042.1875MB
% 0.19/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40  % CPULimit   : 300
% 0.19/0.40  % WCLimit    : 300
% 0.19/0.40  % DateTime   : Sun Aug 27 06:38:54 EDT 2023
% 0.19/0.40  % CPUTime    : 
% 0.19/0.40  This is a FOF_THM_RFO_SEQ problem
% 0.19/0.40  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Txzq68tBW0/Vampire---4.8_6562
% 0.19/0.41  % (6732)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.48  % (6735)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)
% 0.26/0.48  % (6734)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)
% 0.26/0.48  % (6736)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)
% 0.26/0.48  % (6738)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)
% 0.26/0.49  % (6733)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)
% 0.26/0.49  % (6737)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)
% 0.26/0.51  % (6739)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)
% 0.26/0.56  % (6739)Refutation not found, incomplete strategy% (6739)------------------------------
% 0.26/0.56  % (6739)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.26/0.56  % (6739)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.26/0.56  % (6739)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.56  
% 0.26/0.56  % (6739)Memory used [KB]: 4093
% 0.26/0.56  % (6739)Time elapsed: 0.048 s
% 0.26/0.56  % (6739)------------------------------
% 0.26/0.56  % (6739)------------------------------
% 0.26/0.62  % (6740)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)
% 14.91/2.52  % (6738)First to succeed.
% 14.91/2.53  % (6738)Refutation found. Thanks to Tanya!
% 14.91/2.53  % SZS status Theorem for Vampire---4
% 14.91/2.53  % SZS output start Proof for Vampire---4
% See solution above
% 14.91/2.53  % (6738)------------------------------
% 14.91/2.53  % (6738)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 14.91/2.53  % (6738)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 14.91/2.53  % (6738)Termination reason: Refutation
% 14.91/2.53  
% 14.91/2.53  % (6738)Memory used [KB]: 82002
% 14.91/2.53  % (6738)Time elapsed: 2.041 s
% 14.91/2.53  % (6738)------------------------------
% 14.91/2.53  % (6738)------------------------------
% 14.91/2.53  % (6732)Success in time 2.107 s
% 14.91/2.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------