TSTP Solution File: KRS148+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS148+1 : TPTP v8.2.0. Released v3.1.0.
% 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 : n021.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 May 20 23:20:16 EDT 2024

% Result   : Theorem 0.76s 0.95s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   52 (  13 unt;   0 def)
%            Number of atoms       :  165 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  198 (  85   ~;  77   |;  24   &)
%                                         (  10 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   4 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   22 (  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f378,plain,
    $false,
    inference(avatar_sat_refutation,[],[f347,f353,f360,f377]) ).

fof(f377,plain,
    spl40_2,
    inference(avatar_contradiction_clause,[],[f376]) ).

fof(f376,plain,
    ( $false
    | spl40_2 ),
    inference(subsumption_resolution,[],[f365,f122]) ).

fof(f122,plain,
    ~ cC114(iV5475),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,axiom,
    ~ cC114(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).

fof(f365,plain,
    ( cC114(iV5475)
    | spl40_2 ),
    inference(unit_resulting_resolution,[],[f126,f342,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ cTOP(X0)
      | cC114(X0)
      | cC116(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( cC116(X0)
    <=> ( ~ cC114(X0)
        & cTOP(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f342,plain,
    ( ~ cC116(iV5475)
    | spl40_2 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl40_2
  <=> cC116(iV5475) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_2])]) ).

fof(f126,plain,
    cTOP(iV5475),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    cTOP(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).

fof(f360,plain,
    spl40_1,
    inference(avatar_contradiction_clause,[],[f359]) ).

fof(f359,plain,
    ( $false
    | spl40_1 ),
    inference(subsumption_resolution,[],[f355,f121]) ).

fof(f121,plain,
    cTEST(iV5475),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,axiom,
    cTEST(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).

fof(f355,plain,
    ( ~ cTEST(iV5475)
    | spl40_1 ),
    inference(unit_resulting_resolution,[],[f338,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC140(X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ( cC116(X0)
        & cC140(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC116(X0)
        & cC140(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f72]) ).

fof(f72,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC116(X0)
        & cC140(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

fof(f338,plain,
    ( ~ cC140(iV5475)
    | spl40_1 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl40_1
  <=> cC140(iV5475) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_1])]) ).

fof(f353,plain,
    ( ~ spl40_1
    | ~ spl40_2
    | spl40_3 ),
    inference(avatar_split_clause,[],[f352,f344,f340,f336]) ).

fof(f344,plain,
    ( spl40_3
  <=> xsd_string(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_3])]) ).

fof(f352,plain,
    ( xsd_string(sK1)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f351,f106]) ).

fof(f106,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f351,plain,
    ( ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f350,f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ cC140(X0)
      | cC138(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( cC140(X0)
    <=> ( cC138(X0)
        & cTOP(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f350,plain,
    ( ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ cC138(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f349,f102]) ).

fof(f102,plain,
    cowlThing(iV5475),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    cowlThing(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).

fof(f349,plain,
    ( ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f348,f105]) ).

fof(f105,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f348,plain,
    ( cowlNothing(sK0)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f100,f104]) ).

fof(f104,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f100,plain,
    ( ~ cowlThing(sK0)
    | cowlNothing(sK0)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,plain,
    ~ ( cC140(iV5475)
      & cC116(iV5475)
      & cowlThing(iV5475)
      & cC138(iV5475)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f91]) ).

fof(f91,negated_conjecture,
    ~ ( cC140(iV5475)
      & cC116(iV5475)
      & cowlThing(iV5475)
      & cC138(iV5475)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f90]) ).

fof(f90,conjecture,
    ( cC140(iV5475)
    & cC116(iV5475)
    & cowlThing(iV5475)
    & cC138(iV5475)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f347,plain,
    ( ~ spl40_1
    | ~ spl40_2
    | ~ spl40_3 ),
    inference(avatar_split_clause,[],[f334,f344,f340,f336]) ).

fof(f334,plain,
    ( ~ xsd_string(sK1)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f333,f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f333,plain,
    ( xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f332,f114]) ).

fof(f332,plain,
    ( xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ cC138(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f331,f102]) ).

fof(f331,plain,
    ( xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f330,f105]) ).

fof(f330,plain,
    ( cowlNothing(sK0)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(subsumption_resolution,[],[f101,f104]) ).

fof(f101,plain,
    ( ~ cowlThing(sK0)
    | cowlNothing(sK0)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(cnf_transformation,[],[f94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : KRS148+1 : TPTP v8.2.0. Released v3.1.0.
% 0.05/0.15  % 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
% 0.15/0.37  % Computer : n021.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat May 18 21:57:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37  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/benchmark/theBenchmark.p
% 0.76/0.94  % (11522)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.76/0.94  % (11519)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 theBenchmark for (2994ds/34Mi)
% 0.76/0.94  % (11521)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.76/0.94  % (11520)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 theBenchmark for (2994ds/51Mi)
% 0.76/0.94  % (11523)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 theBenchmark for (2994ds/34Mi)
% 0.76/0.94  % (11524)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.76/0.94  % (11525)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 theBenchmark for (2994ds/83Mi)
% 0.76/0.94  % (11526)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.76/0.94  % (11519)Refutation not found, incomplete strategy% (11519)------------------------------
% 0.76/0.94  % (11519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (11522)Refutation not found, incomplete strategy% (11522)------------------------------
% 0.76/0.94  % (11522)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (11524)Refutation not found, incomplete strategy% (11524)------------------------------
% 0.76/0.94  % (11524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (11522)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.94  % (11524)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.94  
% 0.76/0.94  
% 0.76/0.94  % (11522)Memory used [KB]: 980
% 0.76/0.94  % (11524)Memory used [KB]: 1044
% 0.76/0.94  % (11522)Time elapsed: 0.003 s
% 0.76/0.94  % (11524)Time elapsed: 0.003 s
% 0.76/0.94  % (11524)Instructions burned: 2 (million)
% 0.76/0.94  % (11522)Instructions burned: 2 (million)
% 0.76/0.94  % (11519)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.94  
% 0.76/0.94  % (11519)Memory used [KB]: 1045
% 0.76/0.94  % (11519)Time elapsed: 0.003 s
% 0.76/0.94  % (11519)Instructions burned: 2 (million)
% 0.76/0.94  % (11526)Refutation not found, incomplete strategy% (11526)------------------------------
% 0.76/0.94  % (11526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.94  % (11526)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.94  
% 0.76/0.94  % (11526)Memory used [KB]: 1044
% 0.76/0.94  % (11526)Time elapsed: 0.003 s
% 0.76/0.94  % (11526)Instructions burned: 2 (million)
% 0.76/0.94  % (11522)------------------------------
% 0.76/0.94  % (11522)------------------------------
% 0.76/0.95  % (11526)------------------------------
% 0.76/0.95  % (11526)------------------------------
% 0.76/0.95  % (11519)------------------------------
% 0.76/0.95  % (11519)------------------------------
% 0.76/0.95  % (11524)------------------------------
% 0.76/0.95  % (11524)------------------------------
% 0.76/0.95  % (11523)Refutation not found, incomplete strategy% (11523)------------------------------
% 0.76/0.95  % (11523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95  % (11523)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.95  
% 0.76/0.95  % (11523)Memory used [KB]: 1252
% 0.76/0.95  % (11523)Time elapsed: 0.006 s
% 0.76/0.95  % (11523)Instructions burned: 7 (million)
% 0.76/0.95  % (11523)------------------------------
% 0.76/0.95  % (11523)------------------------------
% 0.76/0.95  % (11525)First to succeed.
% 0.76/0.95  % (11520)Also succeeded, but the first one will report.
% 0.76/0.95  % (11521)Also succeeded, but the first one will report.
% 0.76/0.95  % (11527)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 theBenchmark for (2994ds/55Mi)
% 0.76/0.95  % (11529)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.76/0.95  % (11528)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 theBenchmark for (2994ds/50Mi)
% 0.76/0.95  % (11530)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 theBenchmark for (2994ds/52Mi)
% 0.76/0.95  % (11525)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11518"
% 0.76/0.95  % (11529)Refutation not found, incomplete strategy% (11529)------------------------------
% 0.76/0.95  % (11529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95  % (11529)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.95  
% 0.76/0.95  % (11529)Memory used [KB]: 1044
% 0.76/0.95  % (11529)Time elapsed: 0.003 s
% 0.76/0.95  % (11529)Instructions burned: 2 (million)
% 0.76/0.95  % (11529)------------------------------
% 0.76/0.95  % (11529)------------------------------
% 0.76/0.95  % (11525)Refutation found. Thanks to Tanya!
% 0.76/0.95  % SZS status Theorem for theBenchmark
% 0.76/0.95  % SZS output start Proof for theBenchmark
% See solution above
% 0.76/0.95  % (11525)------------------------------
% 0.76/0.95  % (11525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.95  % (11525)Termination reason: Refutation
% 0.76/0.95  
% 0.76/0.95  % (11525)Memory used [KB]: 1214
% 0.76/0.95  % (11525)Time elapsed: 0.008 s
% 0.76/0.95  % (11525)Instructions burned: 10 (million)
% 0.76/0.95  % (11518)Success in time 0.575 s
% 0.76/0.95  % Vampire---4.8 exiting
%------------------------------------------------------------------------------