TSTP Solution File: KRS136+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS136+1 : TPTP v8.1.2. 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 : n023.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 07:17:58 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   6 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   93 (  42   ~;  32   |;  12   &)
%                                         (   4 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   19 (  13   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f20]) ).

fof(f20,plain,
    ~ xsd_string(sK0),
    inference(subsumption_resolution,[],[f19,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.EXfzb8Kh7d/Vampire---4.8_18799',axiom_1) ).

fof(f19,plain,
    ( xsd_integer(sK0)
    | ~ xsd_string(sK0) ),
    inference(subsumption_resolution,[],[f18,f14]) ).

fof(f14,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.EXfzb8Kh7d/Vampire---4.8_18799',axiom_0) ).

fof(f18,plain,
    ( xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | ~ cowlThing(sK1) ),
    inference(subsumption_resolution,[],[f13,f15]) ).

fof(f15,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f13,plain,
    ( xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) )
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

fof(f8,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
   => ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,plain,
    ~ ( ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ( ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ( ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.EXfzb8Kh7d/Vampire---4.8_18799',the_axiom) ).

fof(f24,plain,
    xsd_string(sK0),
    inference(resolution,[],[f23,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f23,plain,
    ~ xsd_integer(sK0),
    inference(subsumption_resolution,[],[f22,f14]) ).

fof(f22,plain,
    ( ~ xsd_integer(sK0)
    | ~ cowlThing(sK1) ),
    inference(subsumption_resolution,[],[f21,f15]) ).

fof(f21,plain,
    ( ~ xsd_integer(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(subsumption_resolution,[],[f12,f20]) ).

fof(f12,plain,
    ( ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KRS136+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 19:53:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_EPR_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/tmp/tmp.EXfzb8Kh7d/Vampire---4.8_18799
% 0.53/0.75  % (19149)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 (2996ds/56Mi)
% 0.59/0.75  % (19149)First to succeed.
% 0.59/0.75  % (19149)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18990"
% 0.59/0.75  % (19144)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (19143)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 (2996ds/51Mi)
% 0.59/0.75  % (19147)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.75  % (19146)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 (2996ds/34Mi)
% 0.59/0.75  % (19145)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.75  % (19148)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 (2996ds/83Mi)
% 0.59/0.75  % (19142)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 (2996ds/34Mi)
% 0.59/0.75  % (19149)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (19149)------------------------------
% 0.59/0.75  % (19149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (19149)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (19149)Memory used [KB]: 971
% 0.59/0.75  % (19149)Time elapsed: 0.002 s
% 0.59/0.75  % (19149)Instructions burned: 2 (million)
% 0.59/0.75  % (18990)Success in time 0.377 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------