TSTP Solution File: SWB065+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB065+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 May  1 03:58:57 EDT 2024

% Result   : Theorem 0.65s 0.82s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   38 (  12 unt;   0 def)
%            Number of atoms       :  156 (  35 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  179 (  61   ~;  61   |;  41   &)
%                                         (  12 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   72 (  62   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f850,plain,
    $false,
    inference(subsumption_resolution,[],[f837,f752]) ).

fof(f752,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f669]) ).

fof(f669,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f626]) ).

fof(f626,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f563,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.p8D4FUZZvF/Vampire---4.8_15384',owl_eqdis_sameas) ).

fof(f837,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
    inference(backward_demodulation,[],[f667,f836]) ).

fof(f836,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[],[f768,f676]) ).

fof(f676,plain,
    iext(uri_rdf_type,uri_ex_w,sK3),
    inference(cnf_transformation,[],[f628]) ).

fof(f628,plain,
    ( iext(uri_rdf_type,uri_ex_w,sK3)
    & iext(uri_owl_oneOf,sK3,sK2)
    & iext(uri_rdf_rest,sK2,uri_rdf_nil)
    & iext(uri_rdf_first,sK2,uri_ex_u) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f565,f627]) ).

fof(f627,plain,
    ( ? [X0,X1] :
        ( iext(uri_rdf_type,uri_ex_w,X1)
        & iext(uri_owl_oneOf,X1,X0)
        & iext(uri_rdf_rest,X0,uri_rdf_nil)
        & iext(uri_rdf_first,X0,uri_ex_u) )
   => ( iext(uri_rdf_type,uri_ex_w,sK3)
      & iext(uri_owl_oneOf,sK3,sK2)
      & iext(uri_rdf_rest,sK2,uri_rdf_nil)
      & iext(uri_rdf_first,sK2,uri_ex_u) ) ),
    introduced(choice_axiom,[]) ).

fof(f565,plain,
    ? [X0,X1] :
      ( iext(uri_rdf_type,uri_ex_w,X1)
      & iext(uri_owl_oneOf,X1,X0)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_u) ),
    inference(rectify,[],[f561]) ).

fof(f561,axiom,
    ? [X41,X36] :
      ( iext(uri_rdf_type,uri_ex_w,X36)
      & iext(uri_owl_oneOf,X36,X41)
      & iext(uri_rdf_rest,X41,uri_rdf_nil)
      & iext(uri_rdf_first,X41,uri_ex_u) ),
    file('/export/starexec/sandbox2/tmp/tmp.p8D4FUZZvF/Vampire---4.8_15384',premise_rdfbased_sem_eqdis_sameas_ext) ).

fof(f768,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,sK3)
      | uri_ex_u = X0 ),
    inference(resolution,[],[f767,f687]) ).

fof(f687,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f631]) ).

fof(f631,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f574]) ).

fof(f574,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.p8D4FUZZvF/Vampire---4.8_15384',rdfs_cext_def) ).

fof(f767,plain,
    ! [X0] :
      ( ~ icext(sK3,X0)
      | uri_ex_u = X0 ),
    inference(resolution,[],[f766,f673]) ).

fof(f673,plain,
    iext(uri_rdf_first,sK2,uri_ex_u),
    inference(cnf_transformation,[],[f628]) ).

fof(f766,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_first,sK2,X1)
      | X0 = X1
      | ~ icext(sK3,X0) ),
    inference(resolution,[],[f765,f675]) ).

fof(f675,plain,
    iext(uri_owl_oneOf,sK3,sK2),
    inference(cnf_transformation,[],[f628]) ).

fof(f765,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_oneOf,X0,sK2)
      | ~ icext(X0,X1)
      | X1 = X2
      | ~ iext(uri_rdf_first,sK2,X2) ),
    inference(resolution,[],[f712,f674]) ).

fof(f674,plain,
    iext(uri_rdf_rest,sK2,uri_rdf_nil),
    inference(cnf_transformation,[],[f628]) ).

fof(f712,plain,
    ! [X2,X0,X1,X4] :
      ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ icext(X0,X4)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | X2 = X4
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f648]) ).

fof(f648,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ( ( sK7(X0,X2) != X2
              | ~ icext(X0,sK7(X0,X2)) )
            & ( sK7(X0,X2) = X2
              | icext(X0,sK7(X0,X2)) ) )
          | ~ ic(X0) )
        & ( ( ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f646,f647]) ).

fof(f647,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( ( X2 != X3
            | ~ icext(X0,X3) )
          & ( X2 = X3
            | icext(X0,X3) ) )
     => ( ( sK7(X0,X2) != X2
          | ~ icext(X0,sK7(X0,X2)) )
        & ( sK7(X0,X2) = X2
          | icext(X0,sK7(X0,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f646,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(rectify,[],[f645]) ).

fof(f645,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X2 = X3
                  | ~ icext(X0,X3) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f644]) ).

fof(f644,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X2 = X3
                  | ~ icext(X0,X3) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(nnf_transformation,[],[f612]) ).

fof(f612,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f611]) ).

fof(f611,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(ennf_transformation,[],[f580]) ).

fof(f580,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) ) ),
    inference(rectify,[],[f295]) ).

fof(f295,axiom,
    ! [X10,X11,X20] :
      ( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
        & iext(uri_rdf_first,X11,X20) )
     => ( iext(uri_owl_oneOf,X10,X11)
      <=> ( ! [X3] :
              ( icext(X10,X3)
            <=> X3 = X20 )
          & ic(X10) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.p8D4FUZZvF/Vampire---4.8_15384',owl_enum_class_001) ).

fof(f667,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/tmp/tmp.p8D4FUZZvF/Vampire---4.8_15384',conclusion_rdfbased_sem_eqdis_sameas_ext) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWB065+1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31  % Computer : n012.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 Apr 30 17:31:11 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.p8D4FUZZvF/Vampire---4.8_15384
% 0.65/0.81  % (15503)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.81  % (15502)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.81  % (15504)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.81  % (15499)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.81  % (15505)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.65/0.81  % (15506)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.65/0.81  % (15501)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.81  % (15500)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.65/0.81  % (15502)Refutation not found, incomplete strategy% (15502)------------------------------
% 0.65/0.81  % (15502)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (15499)Refutation not found, incomplete strategy% (15499)------------------------------
% 0.65/0.81  % (15499)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (15499)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (15499)Memory used [KB]: 1420
% 0.65/0.81  % (15499)Time elapsed: 0.004 s
% 0.65/0.81  % (15499)Instructions burned: 5 (million)
% 0.65/0.81  % (15499)------------------------------
% 0.65/0.81  % (15499)------------------------------
% 0.65/0.81  % (15502)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (15502)Memory used [KB]: 1421
% 0.65/0.81  % (15502)Time elapsed: 0.004 s
% 0.65/0.81  % (15502)Instructions burned: 4 (million)
% 0.65/0.81  % (15502)------------------------------
% 0.65/0.81  % (15502)------------------------------
% 0.65/0.81  % (15506)Refutation not found, incomplete strategy% (15506)------------------------------
% 0.65/0.81  % (15506)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (15504)Refutation not found, incomplete strategy% (15504)------------------------------
% 0.65/0.81  % (15504)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.81  % (15504)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (15504)Memory used [KB]: 1443
% 0.65/0.81  % (15504)Time elapsed: 0.005 s
% 0.65/0.81  % (15504)Instructions burned: 7 (million)
% 0.65/0.81  % (15504)------------------------------
% 0.65/0.81  % (15504)------------------------------
% 0.65/0.81  % (15506)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81  
% 0.65/0.81  % (15506)Memory used [KB]: 1436
% 0.65/0.81  % (15506)Time elapsed: 0.004 s
% 0.65/0.81  % (15506)Instructions burned: 6 (million)
% 0.65/0.81  % (15506)------------------------------
% 0.65/0.81  % (15506)------------------------------
% 0.65/0.82  % (15507)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.65/0.82  % (15508)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.65/0.82  % (15509)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.65/0.82  % (15510)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.65/0.82  % (15509)Refutation not found, incomplete strategy% (15509)------------------------------
% 0.65/0.82  % (15509)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (15509)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (15509)Memory used [KB]: 1420
% 0.65/0.82  % (15509)Time elapsed: 0.004 s
% 0.65/0.82  % (15509)Instructions burned: 5 (million)
% 0.65/0.82  % (15509)------------------------------
% 0.65/0.82  % (15509)------------------------------
% 0.65/0.82  % (15501)First to succeed.
% 0.65/0.82  % (15507)Also succeeded, but the first one will report.
% 0.65/0.82  % (15501)Refutation found. Thanks to Tanya!
% 0.65/0.82  % SZS status Theorem for Vampire---4
% 0.65/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.82  % (15501)------------------------------
% 0.65/0.82  % (15501)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82  % (15501)Termination reason: Refutation
% 0.65/0.82  
% 0.65/0.82  % (15501)Memory used [KB]: 1558
% 0.65/0.82  % (15501)Time elapsed: 0.011 s
% 0.65/0.82  % (15501)Instructions burned: 17 (million)
% 0.65/0.82  % (15501)------------------------------
% 0.65/0.82  % (15501)------------------------------
% 0.65/0.82  % (15493)Success in time 0.496 s
% 0.65/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------