TSTP Solution File: SYO578+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO578+1 : TPTP v8.1.2. Released v5.5.0.
% 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 : n012.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 12:23:01 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (   4 unt;   0 def)
%            Number of atoms       :  153 (   0 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  182 (  62   ~;  47   |;  55   &)
%                                         (   3 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   53 (  28   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f476,plain,
    $false,
    inference(avatar_sat_refutation,[],[f451,f456,f467,f475]) ).

fof(f475,plain,
    ( spl50_1
    | ~ spl50_3 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f474,plain,
    ( $false
    | spl50_1
    | ~ spl50_3 ),
    inference(subsumption_resolution,[],[f473,f455]) ).

fof(f455,plain,
    ( k04_buttercup10100(sK11)
    | ~ spl50_3 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f453,plain,
    ( spl50_3
  <=> k04_buttercup10100(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl50_3])]) ).

fof(f473,plain,
    ( ~ k04_buttercup10100(sK11)
    | spl50_1 ),
    inference(resolution,[],[f447,f318]) ).

fof(f318,plain,
    ! [X1] :
      ( b48_buttercup10098(X1)
      | ~ k04_buttercup10100(X1) ),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,plain,
    ( ~ k04_buttercup10100(sK14)
    & b48_buttercup10098(sK14)
    & ! [X1] :
        ( b48_buttercup10098(X1)
        | ~ k04_buttercup10100(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f159,f237]) ).

fof(f237,plain,
    ( ? [X0] :
        ( ~ k04_buttercup10100(X0)
        & b48_buttercup10098(X0) )
   => ( ~ k04_buttercup10100(sK14)
      & b48_buttercup10098(sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ( ? [X0] :
        ( ~ k04_buttercup10100(X0)
        & b48_buttercup10098(X0) )
    & ! [X1] :
        ( b48_buttercup10098(X1)
        | ~ k04_buttercup10100(X1) ) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ? [X0] :
        ( ~ k04_buttercup10100(X0)
        & b48_buttercup10098(X0) )
    & ! [X1] :
        ( k04_buttercup10100(X1)
       => b48_buttercup10098(X1) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ( ? [X62] :
        ( ~ k04_buttercup10100(X62)
        & b48_buttercup10098(X62) )
    & ! [X61] :
        ( k04_buttercup10100(X61)
       => b48_buttercup10098(X61) ) ),
    file('/export/starexec/sandbox/tmp/tmp.O95pjOK9OW/Vampire---4.8_2100',sos_21) ).

fof(f447,plain,
    ( ~ b48_buttercup10098(sK11)
    | spl50_1 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f445,plain,
    ( spl50_1
  <=> b48_buttercup10098(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).

fof(f467,plain,
    ~ spl50_2,
    inference(avatar_contradiction_clause,[],[f466]) ).

fof(f466,plain,
    ( $false
    | ~ spl50_2 ),
    inference(subsumption_resolution,[],[f465,f320]) ).

fof(f320,plain,
    ~ k04_buttercup10100(sK14),
    inference(cnf_transformation,[],[f238]) ).

fof(f465,plain,
    ( k04_buttercup10100(sK14)
    | ~ spl50_2 ),
    inference(resolution,[],[f450,f319]) ).

fof(f319,plain,
    b48_buttercup10098(sK14),
    inference(cnf_transformation,[],[f238]) ).

fof(f450,plain,
    ( ! [X4] :
        ( ~ b48_buttercup10098(X4)
        | k04_buttercup10100(X4) )
    | ~ spl50_2 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f449,plain,
    ( spl50_2
  <=> ! [X4] :
        ( k04_buttercup10100(X4)
        | ~ b48_buttercup10098(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).

fof(f456,plain,
    ( spl50_3
    | spl50_2 ),
    inference(avatar_split_clause,[],[f311,f449,f453]) ).

fof(f311,plain,
    ! [X4] :
      ( k04_buttercup10100(X4)
      | ~ b48_buttercup10098(X4)
      | k04_buttercup10100(sK11) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ( b48_buttercup10098(sK10)
    & k04_buttercup10100(sK10)
    & ! [X1,X2,X3] :
        ( ~ b48_buttercup10098(X3)
        | k04_buttercup10100(X3)
        | b48_buttercup10098(X2)
        | ~ k04_buttercup10100(X2)
        | ~ b48_buttercup10098(X1)
        | ~ k04_buttercup10100(X1) )
    & ( ! [X4] :
          ( k04_buttercup10100(X4)
          | ~ b48_buttercup10098(X4) )
      | ( ~ b48_buttercup10098(sK11)
        & k04_buttercup10100(sK11) ) )
    & ( ! [X6] :
          ( b48_buttercup10098(X6)
          | ~ k04_buttercup10100(X6) )
      | ( ~ k04_buttercup10100(sK12)
        & b48_buttercup10098(sK12) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f156,f233,f232,f231]) ).

fof(f231,plain,
    ( ? [X0] :
        ( b48_buttercup10098(X0)
        & k04_buttercup10100(X0) )
   => ( b48_buttercup10098(sK10)
      & k04_buttercup10100(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f232,plain,
    ( ? [X5] :
        ( ~ b48_buttercup10098(X5)
        & k04_buttercup10100(X5) )
   => ( ~ b48_buttercup10098(sK11)
      & k04_buttercup10100(sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f233,plain,
    ( ? [X7] :
        ( ~ k04_buttercup10100(X7)
        & b48_buttercup10098(X7) )
   => ( ~ k04_buttercup10100(sK12)
      & b48_buttercup10098(sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ( ? [X0] :
        ( b48_buttercup10098(X0)
        & k04_buttercup10100(X0) )
    & ! [X1,X2,X3] :
        ( ~ b48_buttercup10098(X3)
        | k04_buttercup10100(X3)
        | b48_buttercup10098(X2)
        | ~ k04_buttercup10100(X2)
        | ~ b48_buttercup10098(X1)
        | ~ k04_buttercup10100(X1) )
    & ( ! [X4] :
          ( k04_buttercup10100(X4)
          | ~ b48_buttercup10098(X4) )
      | ? [X5] :
          ( ~ b48_buttercup10098(X5)
          & k04_buttercup10100(X5) ) )
    & ( ! [X6] :
          ( b48_buttercup10098(X6)
          | ~ k04_buttercup10100(X6) )
      | ? [X7] :
          ( ~ k04_buttercup10100(X7)
          & b48_buttercup10098(X7) ) ) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ~ ( ! [X0] :
          ( k04_buttercup10100(X0)
         => ~ b48_buttercup10098(X0) )
      | ? [X1,X2,X3] :
          ( b48_buttercup10098(X3)
          & ~ k04_buttercup10100(X3)
          & ~ b48_buttercup10098(X2)
          & k04_buttercup10100(X2)
          & b48_buttercup10098(X1)
          & k04_buttercup10100(X1) )
      | ( ? [X4] :
            ( ~ k04_buttercup10100(X4)
            & b48_buttercup10098(X4) )
        & ! [X5] :
            ( k04_buttercup10100(X5)
           => b48_buttercup10098(X5) ) )
      | ( ? [X6] :
            ( ~ b48_buttercup10098(X6)
            & k04_buttercup10100(X6) )
        & ! [X7] :
            ( b48_buttercup10098(X7)
           => k04_buttercup10100(X7) ) ) ),
    inference(rectify,[],[f87]) ).

fof(f87,negated_conjecture,
    ~ ( ! [X149] :
          ( k04_buttercup10100(X149)
         => ~ b48_buttercup10098(X149) )
      | ? [X146,X147,X148] :
          ( b48_buttercup10098(X148)
          & ~ k04_buttercup10100(X148)
          & ~ b48_buttercup10098(X147)
          & k04_buttercup10100(X147)
          & b48_buttercup10098(X146)
          & k04_buttercup10100(X146) )
      | ( ? [X145] :
            ( ~ k04_buttercup10100(X145)
            & b48_buttercup10098(X145) )
        & ! [X144] :
            ( k04_buttercup10100(X144)
           => b48_buttercup10098(X144) ) )
      | ( ? [X143] :
            ( ~ b48_buttercup10098(X143)
            & k04_buttercup10100(X143) )
        & ! [X142] :
            ( b48_buttercup10098(X142)
           => k04_buttercup10100(X142) ) ) ),
    inference(negated_conjecture,[],[f86]) ).

fof(f86,conjecture,
    ( ! [X149] :
        ( k04_buttercup10100(X149)
       => ~ b48_buttercup10098(X149) )
    | ? [X146,X147,X148] :
        ( b48_buttercup10098(X148)
        & ~ k04_buttercup10100(X148)
        & ~ b48_buttercup10098(X147)
        & k04_buttercup10100(X147)
        & b48_buttercup10098(X146)
        & k04_buttercup10100(X146) )
    | ( ? [X145] :
          ( ~ k04_buttercup10100(X145)
          & b48_buttercup10098(X145) )
      & ! [X144] :
          ( k04_buttercup10100(X144)
         => b48_buttercup10098(X144) ) )
    | ( ? [X143] :
          ( ~ b48_buttercup10098(X143)
          & k04_buttercup10100(X143) )
      & ! [X142] :
          ( b48_buttercup10098(X142)
         => k04_buttercup10100(X142) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.O95pjOK9OW/Vampire---4.8_2100',goals_86) ).

fof(f451,plain,
    ( ~ spl50_1
    | spl50_2 ),
    inference(avatar_split_clause,[],[f312,f449,f445]) ).

fof(f312,plain,
    ! [X4] :
      ( k04_buttercup10100(X4)
      | ~ b48_buttercup10098(X4)
      | ~ b48_buttercup10098(sK11) ),
    inference(cnf_transformation,[],[f234]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYO578+1 : TPTP v8.1.2. Released v5.5.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n012.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 16:03:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.16/0.36  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.O95pjOK9OW/Vampire---4.8_2100
% 0.55/0.75  % (2410)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)
% 0.55/0.75  % (2413)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)
% 0.55/0.75  % (2408)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (2406)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)
% 0.55/0.75  % (2409)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)
% 0.55/0.75  % (2407)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)
% 0.55/0.75  % (2411)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)
% 0.55/0.75  % (2412)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)
% 0.55/0.75  % (2413)First to succeed.
% 0.55/0.75  % (2413)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2356"
% 0.55/0.75  % (2410)Also succeeded, but the first one will report.
% 0.55/0.75  % (2413)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (2413)------------------------------
% 0.55/0.75  % (2413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (2413)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (2413)Memory used [KB]: 1234
% 0.55/0.75  % (2413)Time elapsed: 0.003 s
% 0.55/0.75  % (2413)Instructions burned: 6 (million)
% 0.55/0.75  % (2356)Success in time 0.387 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------