%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO021_8 : TPTP v8.1.2. Released v8.0.0.
% 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 : n011.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 : Wed May  1 04:45:32 EDT 2024

% Result   : Theorem 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :  198 (  64 equ)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives :  117 (  51   ~;  37   |;  22   &)
%                                         (   5 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  167 ( 115 fml;  52 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   5 usr;   6 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   20 (  12   !;   8   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_2,type,
    sK0: $o ).

tff(func_def_3,type,
    sK1: $o ).

tff(pred_def_1,type,
    sQ2_eqProxy: ( $o * $o ) > $o ).

tff(f41,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f37,f40]) ).

tff(f40,plain,
    spl3_1,
    inference(avatar_split_clause,[],[f25,f29]) ).

tff(f29,plain,
    ( spl3_1
  <=> sQ2_eqProxy($true,sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

tff(f25,plain,
    sQ2_eqProxy($true,sK0),
    inference(duplicate_literal_removal,[],[f23]) ).

tff(f23,plain,
    ( sQ2_eqProxy($true,sK0)
    | sQ2_eqProxy($true,sK0) ),
    inference(equality_proxy_replacement,[],[f13,f18,f18]) ).

tff(f18,plain,
    ! [X0: $o,X1: $o] :
      ( sQ2_eqProxy((X0),(X1))
    <=> ( (X0) = (X1) ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).

tff(f13,plain,
    ( ( $true = sK0 )
    | ( $true = sK0 ) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ( ( ( $true != sK1 )
      | ( $true != sK0 )
      | ( $true != sK1 )
      | ( $true != sK0 ) )
    & ( ( ( $true = sK1 )
        & ( $true = sK0 ) )
      | ( ( $true = sK1 )
        & ( $true = sK0 ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11]) ).

tff(f11,plain,
    ( ? [X0: $o,X1: $o] :
        ( ( ( $true != (X1) )
          | ( $true != (X0) )
          | ( $true != (X1) )
          | ( $true != (X0) ) )
        & ( ( ( $true = (X1) )
            & ( $true = (X0) ) )
          | ( ( $true = (X1) )
            & ( $true = (X0) ) ) ) )
   => ( ( ( $true != sK1 )
        | ( $true != sK0 )
        | ( $true != sK1 )
        | ( $true != sK0 ) )
      & ( ( ( $true = sK1 )
          & ( $true = sK0 ) )
        | ( ( $true = sK1 )
          & ( $true = sK0 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f10,plain,
    ? [X0: $o,X1: $o] :
      ( ( ( $true != (X1) )
        | ( $true != (X0) )
        | ( $true != (X1) )
        | ( $true != (X0) ) )
      & ( ( ( $true = (X1) )
          & ( $true = (X0) ) )
        | ( ( $true = (X1) )
          & ( $true = (X0) ) ) ) ),
    inference(flattening,[],[f9]) ).

tff(f9,plain,
    ? [X0: $o,X1: $o] :
      ( ( ( $true != (X1) )
        | ( $true != (X0) )
        | ( $true != (X1) )
        | ( $true != (X0) ) )
      & ( ( ( $true = (X1) )
          & ( $true = (X0) ) )
        | ( ( $true = (X1) )
          & ( $true = (X0) ) ) ) ),
    inference(nnf_transformation,[],[f8]) ).

tff(f8,plain,
    ? [X0: $o,X1: $o] :
      ( ( ( $true = (X1) )
        & ( $true = (X0) ) )
    <~> ( ( $true = (X1) )
        & ( $true = (X0) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ! [X0: $o,X1: $o] :
        ( ( ( $true = (X1) )
          & ( $true = (X0) ) )
      <=> ~ ( ( $true != (X1) )
            | ( $true != (X0) ) ) ),
    inference(flattening,[],[f6]) ).

tff(f6,plain,
    ~ ! [X0: $o,X1: $o] :
        ( ( ( $true = (X1) )
          & ( $true = (X0) ) )
      <=> ~ ( ( $true != (X1) )
            | ( $true != (X0) ) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ! [X0: $o,X1: $o] :
        ( (X1)
        & ( (X0)
          = ( ~ ( ~ (X1)
                | ~ (X0) ) ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $o,X1: $o] :
        ( (X1)
        & ( (X0)
          = ( ~ ( ~ (X1)
                | ~ (X0) ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $o,X1: $o] :
      ( (X1)
      & ( (X0)
        = ( ~ ( ~ (X1)
              | ~ (X0) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.fMGNiyMkck/Vampire---4.8_17261',conj) ).

tff(f37,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f26,f33]) ).

tff(f33,plain,
    ( spl3_2
  <=> sQ2_eqProxy($true,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

tff(f26,plain,
    sQ2_eqProxy($true,sK1),
    inference(duplicate_literal_removal,[],[f20]) ).

tff(f20,plain,
    ( sQ2_eqProxy($true,sK1)
    | sQ2_eqProxy($true,sK1) ),
    inference(equality_proxy_replacement,[],[f16,f18,f18]) ).

tff(f16,plain,
    ( ( $true = sK1 )
    | ( $true = sK1 ) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f36,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f27,f33,f29]) ).

tff(f27,plain,
    ( ~ sQ2_eqProxy($true,sK1)
    | ~ sQ2_eqProxy($true,sK0) ),
    inference(duplicate_literal_removal,[],[f19]) ).

tff(f19,plain,
    ( ~ sQ2_eqProxy($true,sK1)
    | ~ sQ2_eqProxy($true,sK0)
    | ~ sQ2_eqProxy($true,sK1)
    | ~ sQ2_eqProxy($true,sK0) ),
    inference(equality_proxy_replacement,[],[f17,f18,f18,f18,f18]) ).

tff(f17,plain,
    ( ( $true != sK1 )
    | ( $true != sK0 )
    | ( $true != sK1 )
    | ( $true != sK0 ) ),
    inference(cnf_transformation,[],[f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO021_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.15  % 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
% 0.16/0.37  % Computer : n011.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 17:08:31 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TX0_THM_EQU_NAR problem
% 0.16/0.37  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.fMGNiyMkck/Vampire---4.8_17261
% 0.60/0.76  % (17623)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)
% 0.60/0.76  % (17623)First to succeed.
% 0.61/0.76  % (17616)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)
% 0.61/0.76  % (17618)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (17619)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)
% 0.61/0.76  % (17621)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)
% 0.61/0.76  % (17620)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)
% 0.61/0.76  % (17617)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)
% 0.61/0.76  % (17622)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)
% 0.61/0.76  % (17623)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Theorem for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (17623)------------------------------
% 0.61/0.76  % (17623)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (17623)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (17623)Memory used [KB]: 959
% 0.61/0.76  % (17623)Time elapsed: 0.002 s
% 0.61/0.76  % (17623)Instructions burned: 3 (million)
% 0.61/0.76  % (17623)------------------------------
% 0.61/0.76  % (17623)------------------------------
% 0.61/0.76  % (17513)Success in time 0.382 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------