TSTP Solution File: SWB083+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWB083+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n019.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 : Mon Jun 24 16:12:32 EDT 2024

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   38 (  11 unt;   0 def)
%            Number of atoms       :  115 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  136 (  59   ~;  48   |;  16   &)
%                                         (   6 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-3 aty)
%            Number of variables   :   89 (  86   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f670,plain,
    $false,
    inference(subsumption_resolution,[],[f669,f589]) ).

fof(f589,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_rdf_type,uri_ex_w,uri_owl_Thing)
    & iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f669,plain,
    ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(subsumption_resolution,[],[f668,f588]) ).

fof(f588,plain,
    iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f668,plain,
    ( ~ iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
    | ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p) ),
    inference(resolution,[],[f664,f587]) ).

fof(f587,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f664,plain,
    ! [X0] :
      ( iext(uri_rdf_type,uri_ex_w,X0)
      | ~ iext(uri_owl_allValuesFrom,X0,uri_ex_c)
      | ~ iext(uri_owl_onProperty,X0,uri_ex_p) ),
    inference(resolution,[],[f644,f593]) ).

fof(f593,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f577]) ).

fof(f577,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f563,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/benchmark/theBenchmark.p',unknown) ).

fof(f644,plain,
    ! [X0] :
      ( icext(X0,uri_ex_w)
      | ~ iext(uri_owl_onProperty,X0,uri_ex_p)
      | ~ iext(uri_owl_allValuesFrom,X0,uri_ex_c) ),
    inference(resolution,[],[f641,f602]) ).

fof(f602,plain,
    ! [X2,X3,X0,X1] :
      ( iext(X1,X3,sK2(X1,X2,X3))
      | icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_allValuesFrom,X0,X2) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f586,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ( ~ icext(X2,sK2(X1,X2,X3))
              & iext(X1,X3,sK2(X1,X2,X3)) ) )
          & ( ! [X5] :
                ( icext(X2,X5)
                | ~ iext(X1,X3,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_allValuesFrom,X0,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f584,f585]) ).

fof(f585,plain,
    ! [X1,X2,X3] :
      ( ? [X4] :
          ( ~ icext(X2,X4)
          & iext(X1,X3,X4) )
     => ( ~ icext(X2,sK2(X1,X2,X3))
        & iext(X1,X3,sK2(X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f584,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ? [X4] :
                ( ~ icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X5] :
                ( icext(X2,X5)
                | ~ iext(X1,X3,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_allValuesFrom,X0,X2) ),
    inference(rectify,[],[f583]) ).

fof(f583,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ? [X4] :
                ( ~ icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X4] :
                ( icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_allValuesFrom,X0,X2) ),
    inference(nnf_transformation,[],[f575]) ).

fof(f575,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( icext(X2,X4)
              | ~ iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_allValuesFrom,X0,X2) ),
    inference(flattening,[],[f574]) ).

fof(f574,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( icext(X2,X4)
              | ~ iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_allValuesFrom,X0,X2) ),
    inference(ennf_transformation,[],[f567]) ).

fof(f567,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_allValuesFrom,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( iext(X1,X3,X4)
             => icext(X2,X4) ) ) ),
    inference(rectify,[],[f301]) ).

fof(f301,axiom,
    ! [X10,X1,X4] :
      ( ( iext(uri_owl_onProperty,X10,X1)
        & iext(uri_owl_allValuesFrom,X10,X4) )
     => ! [X3] :
          ( icext(X10,X3)
        <=> ! [X6] :
              ( iext(X1,X3,X6)
             => icext(X4,X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f641,plain,
    ! [X0] : ~ iext(uri_ex_p,X0,sK2(uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(resolution,[],[f635,f590]) ).

fof(f590,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f635,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdfs_range,X0,uri_ex_c)
      | ~ iext(X0,X1,sK2(uri_ex_p,uri_ex_c,uri_ex_w)) ),
    inference(resolution,[],[f629,f594]) ).

fof(f594,plain,
    ! [X2,X3,X0,X1] :
      ( icext(X1,X3)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[],[f572]) ).

fof(f572,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X3)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(flattening,[],[f571]) ).

fof(f571,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X3)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(ennf_transformation,[],[f564]) ).

fof(f564,plain,
    ! [X0,X1,X2,X3] :
      ( ( iext(X0,X2,X3)
        & iext(uri_rdfs_range,X0,X1) )
     => icext(X1,X3) ),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X1,X4,X3,X6] :
      ( ( iext(X1,X3,X6)
        & iext(uri_rdfs_range,X1,X4) )
     => icext(X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f629,plain,
    ~ icext(uri_ex_c,sK2(uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(resolution,[],[f624,f588]) ).

fof(f624,plain,
    ! [X0] :
      ( ~ iext(uri_owl_allValuesFrom,uri_ex_z,X0)
      | ~ icext(X0,sK2(uri_ex_p,X0,uri_ex_w)) ),
    inference(resolution,[],[f614,f589]) ).

fof(f614,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onProperty,uri_ex_z,X0)
      | ~ iext(uri_owl_allValuesFrom,uri_ex_z,X1)
      | ~ icext(X1,sK2(X0,X1,uri_ex_w)) ),
    inference(resolution,[],[f611,f587]) ).

fof(f611,plain,
    ! [X2,X3,X0,X1] :
      ( iext(uri_rdf_type,X2,X3)
      | ~ iext(uri_owl_onProperty,X3,X1)
      | ~ iext(uri_owl_allValuesFrom,X3,X0)
      | ~ icext(X0,sK2(X1,X0,X2)) ),
    inference(resolution,[],[f603,f593]) ).

fof(f603,plain,
    ! [X2,X3,X0,X1] :
      ( icext(X0,X3)
      | ~ icext(X2,sK2(X1,X2,X3))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_allValuesFrom,X0,X2) ),
    inference(cnf_transformation,[],[f586]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SWB083+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.11  % Command    : run_vampire %s %d THM
% 0.11/0.31  % Computer : n019.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Jun 18 18:52:39 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.17/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.34  Running first-order theorem proving
% 0.17/0.34  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43  % (24555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % (24558)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.20/0.43  % (24555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % (24557)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.20/0.44  % (24555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (24562)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.20/0.44  % (24555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (24560)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.20/0.44  % (24562)Refutation not found, incomplete strategy% (24562)------------------------------
% 0.20/0.44  % (24562)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44  % (24562)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44  % (24562)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44  
% 0.20/0.44  % (24562)Memory used [KB]: 1459
% 0.20/0.44  % (24562)Time elapsed: 0.005 s
% 0.20/0.44  % (24562)Instructions burned: 7 (million)
% 0.20/0.44  % (24562)------------------------------
% 0.20/0.44  % (24562)------------------------------
% 0.20/0.44  % (24555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (24559)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.20/0.44  % (24555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (24561)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.20/0.44  % (24555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44  % (24556)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.20/0.44  % (24560)First to succeed.
% 0.20/0.44  % (24561)Refutation not found, incomplete strategy% (24561)------------------------------
% 0.20/0.44  % (24561)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44  % (24561)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44  % (24561)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44  
% 0.20/0.44  % (24561)Memory used [KB]: 1373
% 0.20/0.44  % (24561)Time elapsed: 0.004 s
% 0.20/0.44  % (24561)Instructions burned: 5 (million)
% 0.20/0.45  % (24560)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24555"
% 0.20/0.45  % (24561)------------------------------
% 0.20/0.45  % (24561)------------------------------
% 0.20/0.45  % (24555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.45  % (24560)Refutation found. Thanks to Tanya!
% 0.20/0.45  % SZS status Theorem for theBenchmark
% 0.20/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45  % (24560)------------------------------
% 0.20/0.45  % (24560)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.45  % (24560)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.45  % (24560)Termination reason: Refutation
% 0.20/0.45  
% 0.20/0.45  % (24560)Memory used [KB]: 1501
% 0.20/0.45  % (24560)Time elapsed: 0.008 s
% 0.20/0.45  % (24560)Instructions burned: 9 (million)
% 0.20/0.45  % (24560)------------------------------
% 0.20/0.45  % (24560)------------------------------
% 0.20/0.45  % (24555)Success in time 0.087 s
%------------------------------------------------------------------------------