TSTP Solution File: SWB097+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWB097+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 : 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 : Sun May  5 09:46:20 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :  110 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  134 (  56   ~;  48   |;  21   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-3 aty)
%            Number of variables   :   71 (  64   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f778,plain,
    $false,
    inference(subsumption_resolution,[],[f774,f669]) ).

fof(f669,plain,
    iext(uri_rdf_type,uri_ex_x,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_ex_p,uri_ex_w,uri_ex_x)
    & iext(uri_rdf_type,uri_ex_x,uri_ex_c)
    & iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    file('/export/starexec/sandbox2/tmp/tmp.zR5rAhsp6c/Vampire---4.8_21514',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).

fof(f774,plain,
    ~ iext(uri_rdf_type,uri_ex_x,uri_ex_c),
    inference(resolution,[],[f769,f670]) ).

fof(f670,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_x),
    inference(cnf_transformation,[],[f561]) ).

fof(f769,plain,
    ! [X0] :
      ( ~ iext(uri_ex_p,uri_ex_w,X0)
      | ~ iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(resolution,[],[f765,f664]) ).

fof(f664,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f632]) ).

fof(f632,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/sandbox2/tmp/tmp.zR5rAhsp6c/Vampire---4.8_21514',rdfs_cext_def) ).

fof(f765,plain,
    ! [X0] :
      ( ~ icext(uri_ex_c,X0)
      | ~ iext(uri_ex_p,uri_ex_w,X0) ),
    inference(resolution,[],[f762,f668]) ).

fof(f668,plain,
    iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f762,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onClass,uri_ex_z,X0)
      | ~ icext(X0,X1)
      | ~ iext(uri_ex_p,uri_ex_w,X1) ),
    inference(resolution,[],[f761,f667]) ).

fof(f667,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f761,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
      | ~ iext(uri_owl_onClass,uri_ex_z,X0)
      | ~ icext(X0,X2)
      | ~ iext(X1,uri_ex_w,X2) ),
    inference(resolution,[],[f758,f663]) ).

fof(f663,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/sandbox2/tmp/tmp.zR5rAhsp6c/Vampire---4.8_21514',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).

fof(f758,plain,
    ! [X2,X3,X0,X1] :
      ( iext(uri_rdf_type,X1,uri_ex_z)
      | ~ iext(uri_owl_onClass,uri_ex_z,X3)
      | ~ iext(uri_owl_onProperty,uri_ex_z,X0)
      | ~ icext(X3,X2)
      | ~ iext(X0,X1,X2) ),
    inference(resolution,[],[f756,f665]) ).

fof(f665,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f632]) ).

fof(f756,plain,
    ! [X2,X3,X0,X1] :
      ( icext(uri_ex_z,X3)
      | ~ iext(X2,X3,X1)
      | ~ iext(uri_owl_onClass,uri_ex_z,X0)
      | ~ iext(uri_owl_onProperty,uri_ex_z,X2)
      | ~ icext(X0,X1) ),
    inference(resolution,[],[f676,f666]) ).

fof(f666,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f561]) ).

fof(f676,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ icext(X2,X4)
      | ~ iext(X1,X3,X4)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | icext(X0,X3) ),
    inference(cnf_transformation,[],[f636]) ).

fof(f636,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) ) )
          & ( ( icext(X2,sK3(X1,X2,X3))
              & iext(X1,X3,sK3(X1,X2,X3)) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f634,f635]) ).

fof(f635,plain,
    ! [X1,X2,X3] :
      ( ? [X5] :
          ( icext(X2,X5)
          & iext(X1,X3,X5) )
     => ( icext(X2,sK3(X1,X2,X3))
        & iext(X1,X3,sK3(X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f634,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_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(rectify,[],[f633]) ).

fof(f633,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_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(nnf_transformation,[],[f612]) ).

fof(f612,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(flattening,[],[f611]) ).

fof(f611,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(ennf_transformation,[],[f566]) ).

fof(f566,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onClass,X0,X2)
        & iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(rectify,[],[f337]) ).

fof(f337,axiom,
    ! [X10,X1,X4] :
      ( ( iext(uri_owl_onClass,X10,X4)
        & iext(uri_owl_onProperty,X10,X1)
        & iext(uri_owl_minQualifiedCardinality,X10,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X3] :
          ( icext(X10,X3)
        <=> ? [X6] :
              ( icext(X4,X6)
              & iext(X1,X3,X6) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zR5rAhsp6c/Vampire---4.8_21514',owl_restrict_minqcr_object_001) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.11  % 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
% 0.10/0.30  % Computer : n015.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 18:46:08 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31  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.zR5rAhsp6c/Vampire---4.8_21514
% 0.60/0.78  % (21622)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)
% 0.60/0.78  % (21624)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (21626)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)
% 0.60/0.78  % (21627)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)
% 0.60/0.78  % (21625)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)
% 0.60/0.78  % (21623)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)
% 0.60/0.78  % (21629)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)
% 0.60/0.78  % (21628)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)
% 0.60/0.78  % (21627)Refutation not found, incomplete strategy% (21627)------------------------------
% 0.60/0.78  % (21627)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21627)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21627)Memory used [KB]: 1364
% 0.60/0.78  % (21627)Time elapsed: 0.003 s
% 0.60/0.78  % (21627)Instructions burned: 4 (million)
% 0.60/0.78  % (21625)Refutation not found, incomplete strategy% (21625)------------------------------
% 0.60/0.78  % (21625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21625)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21625)Memory used [KB]: 1365
% 0.60/0.78  % (21625)Time elapsed: 0.003 s
% 0.60/0.78  % (21625)Instructions burned: 4 (million)
% 0.60/0.78  % (21629)Refutation not found, incomplete strategy% (21629)------------------------------
% 0.60/0.78  % (21629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21629)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21629)Memory used [KB]: 1364
% 0.60/0.78  % (21629)Time elapsed: 0.003 s
% 0.60/0.78  % (21629)Instructions burned: 4 (million)
% 0.60/0.78  % (21627)------------------------------
% 0.60/0.78  % (21627)------------------------------
% 0.60/0.78  % (21625)------------------------------
% 0.60/0.78  % (21625)------------------------------
% 0.60/0.78  % (21629)------------------------------
% 0.60/0.78  % (21629)------------------------------
% 0.60/0.78  % (21622)Refutation not found, incomplete strategy% (21622)------------------------------
% 0.60/0.78  % (21622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21622)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21622)Memory used [KB]: 1448
% 0.60/0.78  % (21622)Time elapsed: 0.004 s
% 0.60/0.78  % (21622)Instructions burned: 5 (million)
% 0.60/0.78  % (21622)------------------------------
% 0.60/0.78  % (21622)------------------------------
% 0.60/0.78  % (21628)Refutation not found, incomplete strategy% (21628)------------------------------
% 0.60/0.78  % (21628)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (21628)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (21628)Memory used [KB]: 1431
% 0.60/0.78  % (21628)Time elapsed: 0.005 s
% 0.60/0.78  % (21628)Instructions burned: 8 (million)
% 0.60/0.78  % (21628)------------------------------
% 0.60/0.78  % (21628)------------------------------
% 0.60/0.78  % (21632)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)
% 0.60/0.78  % (21631)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)
% 0.60/0.78  % (21630)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)
% 0.60/0.78  % (21633)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)
% 0.60/0.79  % (21624)First to succeed.
% 0.60/0.79  % (21632)Refutation not found, incomplete strategy% (21632)------------------------------
% 0.60/0.79  % (21632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (21632)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (21632)Memory used [KB]: 1433
% 0.60/0.79  % (21632)Time elapsed: 0.003 s
% 0.60/0.79  % (21632)Instructions burned: 5 (million)
% 0.60/0.79  % (21624)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21621"
% 0.60/0.79  % (21634)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.60/0.79  % (21632)------------------------------
% 0.60/0.79  % (21632)------------------------------
% 0.60/0.79  % (21624)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (21624)------------------------------
% 0.60/0.79  % (21624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (21624)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (21624)Memory used [KB]: 1548
% 0.60/0.79  % (21624)Time elapsed: 0.009 s
% 0.60/0.79  % (21624)Instructions burned: 16 (million)
% 0.60/0.79  % (21621)Success in time 0.475 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------