TSTP Solution File: SYN366+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 04:34:09 EDT 2024

% Result   : Theorem 0.62s 0.81s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :   82 (  26   ~;  14   |;  24   &)
%                                         (  10 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   54 (  41   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(resolution,[],[f22,f15]) ).

fof(f15,plain,
    big_r(sK1,sK1),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( ~ big_r(sK0,sK0)
    & big_r(sK1,sK1)
    & ! [X2,X3] :
        ( ( big_r(X2,X2)
          | ~ big_r(X3,X2) )
        & ( big_r(X3,X2)
          | ~ big_r(X2,X2) ) )
    & ! [X4,X5] :
        ( ( big_r(X4,X4)
          | ~ big_r(X4,X5) )
        & ( big_r(X4,X5)
          | ~ big_r(X4,X4) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

fof(f8,plain,
    ( ? [X0] : ~ big_r(X0,X0)
   => ~ big_r(sK0,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ? [X1] : big_r(X1,X1)
   => big_r(sK1,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X0] : ~ big_r(X0,X0)
    & ? [X1] : big_r(X1,X1)
    & ! [X2,X3] :
        ( ( big_r(X2,X2)
          | ~ big_r(X3,X2) )
        & ( big_r(X3,X2)
          | ~ big_r(X2,X2) ) )
    & ! [X4,X5] :
        ( ( big_r(X4,X4)
          | ~ big_r(X4,X5) )
        & ( big_r(X4,X5)
          | ~ big_r(X4,X4) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ? [X5] : ~ big_r(X5,X5)
    & ? [X4] : big_r(X4,X4)
    & ! [X0,X1] :
        ( ( big_r(X0,X0)
          | ~ big_r(X1,X0) )
        & ( big_r(X1,X0)
          | ~ big_r(X0,X0) ) )
    & ! [X2,X3] :
        ( ( big_r(X2,X2)
          | ~ big_r(X2,X3) )
        & ( big_r(X2,X3)
          | ~ big_r(X2,X2) ) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ? [X5] : ~ big_r(X5,X5)
    & ? [X4] : big_r(X4,X4)
    & ! [X0,X1] :
        ( big_r(X0,X0)
      <=> big_r(X1,X0) )
    & ! [X2,X3] :
        ( big_r(X2,X2)
      <=> big_r(X2,X3) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ( ? [X5] : ~ big_r(X5,X5)
    & ? [X4] : big_r(X4,X4)
    & ! [X0,X1] :
        ( big_r(X0,X0)
      <=> big_r(X1,X0) )
    & ! [X2,X3] :
        ( big_r(X2,X2)
      <=> big_r(X2,X3) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ! [X0,X1] :
            ( big_r(X0,X0)
          <=> big_r(X1,X0) )
        & ! [X2,X3] :
            ( big_r(X2,X2)
          <=> big_r(X2,X3) ) )
     => ( ? [X4] : big_r(X4,X4)
       => ! [X5] : big_r(X5,X5) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X2,X3] :
            ( big_r(X2,X2)
          <=> big_r(X3,X2) )
        & ! [X0,X1] :
            ( big_r(X0,X0)
          <=> big_r(X0,X1) ) )
     => ( ? [X4] : big_r(X4,X4)
       => ! [X5] : big_r(X5,X5) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ! [X2,X3] :
          ( big_r(X2,X2)
        <=> big_r(X3,X2) )
      & ! [X0,X1] :
          ( big_r(X0,X0)
        <=> big_r(X0,X1) ) )
   => ( ? [X4] : big_r(X4,X4)
     => ! [X5] : big_r(X5,X5) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.nbrQkUberd/Vampire---4.8_21411',x2117) ).

fof(f22,plain,
    ! [X0] : ~ big_r(X0,X0),
    inference(resolution,[],[f13,f18]) ).

fof(f18,plain,
    ! [X0] : ~ big_r(sK0,X0),
    inference(resolution,[],[f12,f16]) ).

fof(f16,plain,
    ~ big_r(sK0,sK0),
    inference(cnf_transformation,[],[f10]) ).

fof(f12,plain,
    ! [X4,X5] :
      ( big_r(X4,X4)
      | ~ big_r(X4,X5) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f13,plain,
    ! [X2,X3] :
      ( big_r(X3,X2)
      | ~ big_r(X2,X2) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.15  % 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
% 0.15/0.35  % Computer : n024.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   : Tue Apr 30 17:26:21 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36  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.nbrQkUberd/Vampire---4.8_21411
% 0.62/0.81  % (21622)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.81  % (21627)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 (2995ds/56Mi)
% 0.62/0.81  % (21627)First to succeed.
% 0.62/0.81  % (21622)Also succeeded, but the first one will report.
% 0.62/0.81  % (21619)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 (2995ds/34Mi)
% 0.62/0.81  % (21621)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (21620)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 (2995ds/51Mi)
% 0.62/0.81  % (21623)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 (2995ds/34Mi)
% 0.62/0.81  % (21624)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.81  % (21626)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 (2995ds/83Mi)
% 0.62/0.81  % (21627)Refutation found. Thanks to Tanya!
% 0.62/0.81  % SZS status Theorem for Vampire---4
% 0.62/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81  % (21627)------------------------------
% 0.62/0.81  % (21627)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (21627)Termination reason: Refutation
% 0.62/0.81  
% 0.62/0.81  % (21627)Memory used [KB]: 970
% 0.62/0.81  % (21627)Time elapsed: 0.002 s
% 0.62/0.81  % (21627)Instructions burned: 3 (million)
% 0.62/0.81  % (21627)------------------------------
% 0.62/0.81  % (21627)------------------------------
% 0.62/0.81  % (21586)Success in time 0.445 s
% 0.62/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------