TSTP Solution File: KRS134+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS134+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   49 (   3 unt;   0 def)
%            Number of atoms       :  170 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  198 (  77   ~;  75   |;  27   &)
%                                         (   7 <=>;  11  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   40 (  26   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f42,f50,f54,f57]) ).

fof(f57,plain,
    ( spl4_2
    | ~ spl4_3 ),
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | spl4_2
    | ~ spl4_3 ),
    inference(resolution,[],[f55,f49]) ).

fof(f49,plain,
    ( rprop(sK0,sK1)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl4_3
  <=> rprop(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f55,plain,
    ( ! [X0] : ~ rprop(X0,sK1)
    | spl4_2 ),
    inference(resolution,[],[f37,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( cA(X1)
      | ~ rprop(X0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( cA(X1)
      | ~ rprop(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( rprop(X0,X1)
     => cA(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.rK24mMbQHT/Vampire---4.8_28781',axiom_2) ).

fof(f37,plain,
    ( ~ cA(sK1)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl4_2
  <=> cA(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f54,plain,
    ( spl4_1
    | spl4_3 ),
    inference(avatar_split_clause,[],[f53,f47,f31]) ).

fof(f31,plain,
    ( spl4_1
  <=> xsd_string(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f53,plain,
    ( rprop(sK0,sK1)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f52,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,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/sandbox/tmp/tmp.rK24mMbQHT/Vampire---4.8_28781',axiom_1) ).

fof(f52,plain,
    ( rprop(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f51,f22]) ).

fof(f22,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rK24mMbQHT/Vampire---4.8_28781',axiom_0) ).

fof(f51,plain,
    ( rprop(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | ~ cowlThing(sK3) ),
    inference(subsumption_resolution,[],[f18,f23]) ).

fof(f23,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f18,plain,
    ( rprop(sK0,sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ( ~ cA(sK1)
      & rprop(sK0,sK1)
      & cowlThing(sK0) )
    | ( ( xsd_integer(sK2)
        | ~ xsd_string(sK2) )
      & ( ~ xsd_integer(sK2)
        | xsd_string(sK2) ) )
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f9,f13,f12,f11,f10]) ).

fof(f10,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ cA(X1)
            & rprop(X0,X1) )
        & cowlThing(X0) )
   => ( ? [X1] :
          ( ~ cA(X1)
          & rprop(sK0,X1) )
      & cowlThing(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ( ? [X1] :
        ( ~ cA(X1)
        & rprop(sK0,X1) )
   => ( ~ cA(sK1)
      & rprop(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ( ? [X2] :
        ( ( xsd_integer(X2)
          | ~ xsd_string(X2) )
        & ( ~ xsd_integer(X2)
          | xsd_string(X2) ) )
   => ( ( xsd_integer(sK2)
        | ~ xsd_string(sK2) )
      & ( ~ xsd_integer(sK2)
        | xsd_string(sK2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ( ? [X3] :
        ( cowlNothing(X3)
        | ~ cowlThing(X3) )
   => ( cowlNothing(sK3)
      | ~ cowlThing(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ cA(X1)
            & rprop(X0,X1) )
        & cowlThing(X0) )
    | ? [X2] :
        ( ( xsd_integer(X2)
          | ~ xsd_string(X2) )
        & ( ~ xsd_integer(X2)
          | xsd_string(X2) ) )
    | ? [X3] :
        ( cowlNothing(X3)
        | ~ cowlThing(X3) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ cA(X1)
            & rprop(X0,X1) )
        & cowlThing(X0) )
    | ? [X2] :
        ( xsd_string(X2)
      <~> ~ xsd_integer(X2) )
    | ? [X3] :
        ( cowlNothing(X3)
        | ~ cowlThing(X3) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ~ ( ! [X0] :
          ( cowlThing(X0)
         => ! [X1] :
              ( rprop(X0,X1)
             => cA(X1) ) )
      & ! [X2] :
          ( xsd_string(X2)
        <=> ~ xsd_integer(X2) )
      & ! [X3] :
          ( ~ cowlNothing(X3)
          & cowlThing(X3) ) ),
    inference(rectify,[],[f5]) ).

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

fof(f4,conjecture,
    ( ! [X0] :
        ( cowlThing(X0)
       => ! [X1] :
            ( rprop(X0,X1)
           => cA(X1) ) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.rK24mMbQHT/Vampire---4.8_28781',the_axiom) ).

fof(f50,plain,
    ( ~ spl4_1
    | spl4_3 ),
    inference(avatar_split_clause,[],[f45,f47,f31]) ).

fof(f45,plain,
    ( rprop(sK0,sK1)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f44,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f44,plain,
    ( rprop(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f43,f22]) ).

fof(f43,plain,
    ( rprop(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | ~ cowlThing(sK3) ),
    inference(subsumption_resolution,[],[f19,f23]) ).

fof(f19,plain,
    ( rprop(sK0,sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f42,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f41,f35,f31]) ).

fof(f41,plain,
    ( ~ cA(sK1)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f40,f25]) ).

fof(f40,plain,
    ( ~ cA(sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f39,f22]) ).

fof(f39,plain,
    ( ~ cA(sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | ~ cowlThing(sK3) ),
    inference(subsumption_resolution,[],[f20,f23]) ).

fof(f20,plain,
    ( ~ cA(sK1)
    | ~ xsd_integer(sK2)
    | xsd_string(sK2)
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f38,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f29,f35,f31]) ).

fof(f29,plain,
    ( ~ cA(sK1)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f28,f24]) ).

fof(f28,plain,
    ( ~ cA(sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2) ),
    inference(subsumption_resolution,[],[f27,f22]) ).

fof(f27,plain,
    ( ~ cA(sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | ~ cowlThing(sK3) ),
    inference(subsumption_resolution,[],[f21,f23]) ).

fof(f21,plain,
    ( ~ cA(sK1)
    | xsd_integer(sK2)
    | ~ xsd_string(sK2)
    | cowlNothing(sK3)
    | ~ cowlThing(sK3) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : KRS134+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n026.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   : Fri May  3 19:51:53 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.rK24mMbQHT/Vampire---4.8_28781
% 0.56/0.75  % (29138)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)
% 0.56/0.75  % (29138)First to succeed.
% 0.56/0.75  % (29130)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)
% 0.56/0.75  % (29133)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (29131)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)
% 0.56/0.75  % (29135)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)
% 0.56/0.75  % (29136)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)
% 0.56/0.75  % (29134)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)
% 0.56/0.75  % (29137)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)
% 0.56/0.75  % (29138)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29029"
% 0.56/0.76  % (29138)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Theorem for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (29138)------------------------------
% 0.56/0.76  % (29138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (29138)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (29138)Memory used [KB]: 978
% 0.56/0.76  % (29138)Time elapsed: 0.002 s
% 0.56/0.76  % (29138)Instructions burned: 3 (million)
% 0.56/0.76  % (29029)Success in time 0.38 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------