TSTP Solution File: KRS168+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS168+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 : n027.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 23:20:21 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   56 (   3 unt;   0 def)
%            Number of atoms       :  185 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  223 (  94   ~; 102   |;  15   &)
%                                         (  10 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   4 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   24 (  21   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f81,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f40,f44,f48,f72,f80]) ).

fof(f80,plain,
    ( ~ spl5_1
    | spl5_2 ),
    inference(avatar_contradiction_clause,[],[f79]) ).

fof(f79,plain,
    ( $false
    | ~ spl5_1
    | spl5_2 ),
    inference(subsumption_resolution,[],[f78,f73]) ).

fof(f73,plain,
    ( ~ cA(sK2)
    | ~ spl5_1 ),
    inference(unit_resulting_resolution,[],[f26,f12]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | ~ cA(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ( ~ cA(X0)
          & ~ cB(X0) )
      <~> ( ~ cB(X0)
          & ~ cA(X0) ) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X2] :
        ( cowlNothing(X2)
        | ~ cowlThing(X2) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,plain,
    ~ ( ! [X0] :
          ( ( ~ cA(X0)
            & ~ cB(X0) )
        <=> ~ ( cB(X0)
              | cA(X0) ) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X2] :
          ( ~ cowlNothing(X2)
          & cowlThing(X2) ) ),
    inference(rectify,[],[f4]) ).

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

fof(f3,conjecture,
    ( ! [X0] :
        ( ( ~ cA(X0)
          & ~ cB(X0) )
      <=> ~ ( cB(X0)
            | cA(X0) ) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f26,plain,
    ( sP3(sK2)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl5_1
  <=> sP3(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f78,plain,
    ( cA(sK2)
    | ~ spl5_1
    | spl5_2 ),
    inference(subsumption_resolution,[],[f77,f74]) ).

fof(f74,plain,
    ( ~ cB(sK2)
    | ~ spl5_1 ),
    inference(unit_resulting_resolution,[],[f26,f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | ~ cB(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( cB(sK2)
    | cA(sK2)
    | spl5_2 ),
    inference(resolution,[],[f31,f7]) ).

fof(f7,plain,
    ! [X0] :
      ( sP4(X0)
      | cB(X0)
      | cA(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f31,plain,
    ( ~ sP4(sK2)
    | spl5_2 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl5_2
  <=> sP4(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f72,plain,
    ( spl5_1
    | ~ spl5_2 ),
    inference(avatar_contradiction_clause,[],[f71]) ).

fof(f71,plain,
    ( $false
    | spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f70,f51]) ).

fof(f51,plain,
    ( ~ cB(sK2)
    | ~ spl5_2 ),
    inference(unit_resulting_resolution,[],[f30,f9]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ sP4(X0)
      | ~ cB(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( sP4(sK2)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f70,plain,
    ( cB(sK2)
    | spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f60,f49]) ).

fof(f49,plain,
    ( ~ cA(sK2)
    | ~ spl5_2 ),
    inference(unit_resulting_resolution,[],[f30,f8]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ sP4(X0)
      | ~ cA(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( cA(sK2)
    | cB(sK2)
    | spl5_1 ),
    inference(resolution,[],[f10,f27]) ).

fof(f27,plain,
    ( ~ sP3(sK2)
    | spl5_1 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f10,plain,
    ! [X0] :
      ( sP3(X0)
      | cA(X0)
      | cB(X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( spl5_1
    | spl5_2
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f47,f33,f29,f25]) ).

fof(f33,plain,
    ( spl5_3
  <=> xsd_string(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f47,plain,
    ( ~ xsd_string(sK1)
    | sP4(sK2)
    | sP3(sK2) ),
    inference(subsumption_resolution,[],[f46,f20]) ).

fof(f20,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(f46,plain,
    ( xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | sP4(sK2)
    | sP3(sK2) ),
    inference(subsumption_resolution,[],[f45,f18]) ).

fof(f18,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(f45,plain,
    ( cowlNothing(sK0)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | sP4(sK2)
    | sP3(sK2) ),
    inference(subsumption_resolution,[],[f13,f17]) ).

fof(f17,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f13,plain,
    ( ~ cowlThing(sK0)
    | cowlNothing(sK0)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | sP4(sK2)
    | sP3(sK2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( ~ spl5_1
    | ~ spl5_2
    | ~ spl5_3 ),
    inference(avatar_split_clause,[],[f43,f33,f29,f25]) ).

fof(f43,plain,
    ( ~ xsd_string(sK1)
    | ~ sP4(sK2)
    | ~ sP3(sK2) ),
    inference(subsumption_resolution,[],[f42,f20]) ).

fof(f42,plain,
    ( xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ sP4(sK2)
    | ~ sP3(sK2) ),
    inference(subsumption_resolution,[],[f41,f18]) ).

fof(f41,plain,
    ( cowlNothing(sK0)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ sP4(sK2)
    | ~ sP3(sK2) ),
    inference(subsumption_resolution,[],[f14,f17]) ).

fof(f14,plain,
    ( ~ cowlThing(sK0)
    | cowlNothing(sK0)
    | xsd_integer(sK1)
    | ~ xsd_string(sK1)
    | ~ sP4(sK2)
    | ~ sP3(sK2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( spl5_1
    | spl5_2
    | spl5_3 ),
    inference(avatar_split_clause,[],[f39,f33,f29,f25]) ).

fof(f39,plain,
    ( xsd_string(sK1)
    | sP4(sK2)
    | sP3(sK2) ),
    inference(subsumption_resolution,[],[f38,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f38,plain,
    ( ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | sP4(sK2)
    | sP3(sK2) ),
    inference(subsumption_resolution,[],[f37,f18]) ).

fof(f37,plain,
    ( cowlNothing(sK0)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | sP4(sK2)
    | sP3(sK2) ),
    inference(subsumption_resolution,[],[f15,f17]) ).

fof(f15,plain,
    ( ~ cowlThing(sK0)
    | cowlNothing(sK0)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | sP4(sK2)
    | sP3(sK2) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( ~ spl5_1
    | ~ spl5_2
    | spl5_3 ),
    inference(avatar_split_clause,[],[f23,f33,f29,f25]) ).

fof(f23,plain,
    ( xsd_string(sK1)
    | ~ sP4(sK2)
    | ~ sP3(sK2) ),
    inference(subsumption_resolution,[],[f22,f19]) ).

fof(f22,plain,
    ( ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ sP4(sK2)
    | ~ sP3(sK2) ),
    inference(subsumption_resolution,[],[f21,f18]) ).

fof(f21,plain,
    ( cowlNothing(sK0)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ sP4(sK2)
    | ~ sP3(sK2) ),
    inference(subsumption_resolution,[],[f16,f17]) ).

fof(f16,plain,
    ( ~ cowlThing(sK0)
    | cowlNothing(sK0)
    | ~ xsd_integer(sK1)
    | xsd_string(sK1)
    | ~ sP4(sK2)
    | ~ sP3(sK2) ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS168+1 : TPTP v8.2.0. Released v3.1.0.
% 0.14/0.14  % 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
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 22:32:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.35  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
% 0.57/0.73  % (2150)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 (2996ds/83Mi)
% 0.57/0.73  % (2144)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 (2996ds/34Mi)
% 0.57/0.73  % (2145)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 (2996ds/51Mi)
% 0.57/0.73  % (2147)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.73  % (2146)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.73  % (2148)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 (2996ds/34Mi)
% 0.57/0.73  % (2149)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.73  % (2150)First to succeed.
% 0.57/0.74  % (2150)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2143"
% 0.57/0.74  % (2150)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for theBenchmark
% 0.57/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.74  % (2150)------------------------------
% 0.57/0.74  % (2150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74  % (2150)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (2150)Memory used [KB]: 991
% 0.57/0.74  % (2150)Time elapsed: 0.003 s
% 0.57/0.74  % (2150)Instructions burned: 4 (million)
% 0.57/0.74  % (2143)Success in time 0.375 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------