TSTP Solution File: LAT388+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT388+4 : TPTP v8.2.0. Released v4.0.0.
% 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 : n014.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 23:36:45 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   3 unt;   0 def)
%            Number of atoms       :  141 (   4 equ)
%            Maximal formula atoms :   12 (   7 avg)
%            Number of connectives :  170 (  47   ~;  33   |;  73   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   44 (  31   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f275,plain,
    $false,
    inference(resolution,[],[f208,f216]) ).

fof(f216,plain,
    ! [X0] : ~ aSupremumOfIn0(X0,xT,xS),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ aSupremumOfIn0(X0,xT,xS)
      & ( sP3(X0)
        | ( ~ aUpperBoundOfIn0(X0,xT,xS)
          & ( ( ~ sdtlseqdt0(sK13(X0),X0)
              & aElementOf0(sK13(X0),xT) )
            | ~ aElementOf0(X0,xS) ) )
        | ~ aElementOf0(X0,xS) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f101,f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ sdtlseqdt0(X1,X0)
          & aElementOf0(X1,xT) )
     => ( ~ sdtlseqdt0(sK13(X0),X0)
        & aElementOf0(sK13(X0),xT) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ aSupremumOfIn0(X0,xT,xS)
      & ( sP3(X0)
        | ( ~ aUpperBoundOfIn0(X0,xT,xS)
          & ( ? [X1] :
                ( ~ sdtlseqdt0(X1,X0)
                & aElementOf0(X1,xT) )
            | ~ aElementOf0(X0,xS) ) )
        | ~ aElementOf0(X0,xS) ) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ aSupremumOfIn0(X0,xT,xS)
      & ( sP3(X0)
        | ( ~ aUpperBoundOfIn0(X0,xT,xS)
          & ( ? [X3] :
                ( ~ sdtlseqdt0(X3,X0)
                & aElementOf0(X3,xT) )
            | ~ aElementOf0(X0,xS) ) )
        | ~ aElementOf0(X0,xS) ) ),
    inference(definition_folding,[],[f52,f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ sdtlseqdt0(X0,X1)
          & aUpperBoundOfIn0(X1,xT,xS)
          & ! [X2] :
              ( sdtlseqdt0(X2,X1)
              | ~ aElementOf0(X2,xT) )
          & aElementOf0(X1,xS) )
      | ~ sP3(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ aSupremumOfIn0(X0,xT,xS)
      & ( ? [X1] :
            ( ~ sdtlseqdt0(X0,X1)
            & aUpperBoundOfIn0(X1,xT,xS)
            & ! [X2] :
                ( sdtlseqdt0(X2,X1)
                | ~ aElementOf0(X2,xT) )
            & aElementOf0(X1,xS) )
        | ( ~ aUpperBoundOfIn0(X0,xT,xS)
          & ( ? [X3] :
                ( ~ sdtlseqdt0(X3,X0)
                & aElementOf0(X3,xT) )
            | ~ aElementOf0(X0,xS) ) )
        | ~ aElementOf0(X0,xS) ) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ aSupremumOfIn0(X0,xT,xS)
      & ( ? [X1] :
            ( ~ sdtlseqdt0(X0,X1)
            & aUpperBoundOfIn0(X1,xT,xS)
            & ! [X2] :
                ( sdtlseqdt0(X2,X1)
                | ~ aElementOf0(X2,xT) )
            & aElementOf0(X1,xS) )
        | ( ~ aUpperBoundOfIn0(X0,xT,xS)
          & ( ? [X3] :
                ( ~ sdtlseqdt0(X3,X0)
                & aElementOf0(X3,xT) )
            | ~ aElementOf0(X0,xS) ) )
        | ~ aElementOf0(X0,xS) ) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ~ ? [X0] :
        ( aSupremumOfIn0(X0,xT,xS)
        | ( ! [X1] :
              ( ( aUpperBoundOfIn0(X1,xT,xS)
                & ! [X2] :
                    ( aElementOf0(X2,xT)
                   => sdtlseqdt0(X2,X1) )
                & aElementOf0(X1,xS) )
             => sdtlseqdt0(X0,X1) )
          & ( aUpperBoundOfIn0(X0,xT,xS)
            | ( ! [X3] :
                  ( aElementOf0(X3,xT)
                 => sdtlseqdt0(X3,X0) )
              & aElementOf0(X0,xS) ) )
          & aElementOf0(X0,xS) ) ),
    inference(rectify,[],[f32]) ).

fof(f32,negated_conjecture,
    ~ ? [X0] :
        ( aSupremumOfIn0(X0,xT,xS)
        | ( ! [X1] :
              ( ( aUpperBoundOfIn0(X1,xT,xS)
                & ! [X2] :
                    ( aElementOf0(X2,xT)
                   => sdtlseqdt0(X2,X1) )
                & aElementOf0(X1,xS) )
             => sdtlseqdt0(X0,X1) )
          & ( aUpperBoundOfIn0(X0,xT,xS)
            | ( ! [X1] :
                  ( aElementOf0(X1,xT)
                 => sdtlseqdt0(X1,X0) )
              & aElementOf0(X0,xS) ) )
          & aElementOf0(X0,xS) ) ),
    inference(negated_conjecture,[],[f31]) ).

fof(f31,conjecture,
    ? [X0] :
      ( aSupremumOfIn0(X0,xT,xS)
      | ( ! [X1] :
            ( ( aUpperBoundOfIn0(X1,xT,xS)
              & ! [X2] :
                  ( aElementOf0(X2,xT)
                 => sdtlseqdt0(X2,X1) )
              & aElementOf0(X1,xS) )
           => sdtlseqdt0(X0,X1) )
        & ( aUpperBoundOfIn0(X0,xT,xS)
          | ( ! [X1] :
                ( aElementOf0(X1,xT)
               => sdtlseqdt0(X1,X0) )
            & aElementOf0(X0,xS) ) )
        & aElementOf0(X0,xS) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f208,plain,
    aSupremumOfIn0(xp,xT,xS),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( aSupremumOfIn0(xp,xT,xS)
    & ! [X0] :
        ( sdtlseqdt0(xp,X0)
        | ( ~ aUpperBoundOfIn0(X0,xT,xS)
          & ( ( ~ sdtlseqdt0(sK11(X0),X0)
              & aElementOf0(sK11(X0),xT) )
            | ~ aElementOf0(X0,xS) ) ) )
    & aUpperBoundOfIn0(xp,xT,xS)
    & ! [X2] :
        ( sdtlseqdt0(X2,xp)
        | ~ aElementOf0(X2,xT) )
    & aFixedPointOf0(xp,xf)
    & xp = sdtlpdtrp0(xf,xp)
    & aElementOf0(xp,szDzozmdt0(xf)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f50,f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ sdtlseqdt0(X1,X0)
          & aElementOf0(X1,xT) )
     => ( ~ sdtlseqdt0(sK11(X0),X0)
        & aElementOf0(sK11(X0),xT) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ( aSupremumOfIn0(xp,xT,xS)
    & ! [X0] :
        ( sdtlseqdt0(xp,X0)
        | ( ~ aUpperBoundOfIn0(X0,xT,xS)
          & ( ? [X1] :
                ( ~ sdtlseqdt0(X1,X0)
                & aElementOf0(X1,xT) )
            | ~ aElementOf0(X0,xS) ) ) )
    & aUpperBoundOfIn0(xp,xT,xS)
    & ! [X2] :
        ( sdtlseqdt0(X2,xp)
        | ~ aElementOf0(X2,xT) )
    & aFixedPointOf0(xp,xf)
    & xp = sdtlpdtrp0(xf,xp)
    & aElementOf0(xp,szDzozmdt0(xf)) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ( aSupremumOfIn0(xp,xT,xS)
    & ! [X0] :
        ( ( aUpperBoundOfIn0(X0,xT,xS)
          | ( ! [X1] :
                ( aElementOf0(X1,xT)
               => sdtlseqdt0(X1,X0) )
            & aElementOf0(X0,xS) ) )
       => sdtlseqdt0(xp,X0) )
    & aUpperBoundOfIn0(xp,xT,xS)
    & ! [X2] :
        ( aElementOf0(X2,xT)
       => sdtlseqdt0(X2,xp) )
    & aFixedPointOf0(xp,xf)
    & xp = sdtlpdtrp0(xf,xp)
    & aElementOf0(xp,szDzozmdt0(xf)) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ( aSupremumOfIn0(xp,xT,xS)
    & ! [X0] :
        ( ( aUpperBoundOfIn0(X0,xT,xS)
          | ( ! [X1] :
                ( aElementOf0(X1,xT)
               => sdtlseqdt0(X1,X0) )
            & aElementOf0(X0,xS) ) )
       => sdtlseqdt0(xp,X0) )
    & aUpperBoundOfIn0(xp,xT,xS)
    & ! [X0] :
        ( aElementOf0(X0,xT)
       => sdtlseqdt0(X0,xp) )
    & aFixedPointOf0(xp,xf)
    & xp = sdtlpdtrp0(xf,xp)
    & aElementOf0(xp,szDzozmdt0(xf)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1330) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : LAT388+4 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.09  % 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
% 0.09/0.29  % Computer : n014.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 20:04:22 EDT 2024
% 0.14/0.29  % CPUTime    : 
% 0.14/0.29  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.30  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/benchmark/theBenchmark.p
% 0.54/0.76  % (10766)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 (2995ds/51Mi)
% 0.54/0.76  % (10765)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 (2995ds/34Mi)
% 0.54/0.76  % (10767)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.54/0.76  % (10768)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.54/0.76  % (10770)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.54/0.76  % (10771)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 (2995ds/83Mi)
% 0.54/0.76  % (10769)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 (2995ds/34Mi)
% 0.54/0.76  % (10765)Also succeeded, but the first one will report.
% 0.54/0.76  % (10768)First to succeed.
% 0.54/0.76  % (10768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10764"
% 0.60/0.76  % (10767)Also succeeded, but the first one will report.
% 0.60/0.76  % (10768)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for theBenchmark
% 0.60/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.76  % (10768)------------------------------
% 0.60/0.76  % (10768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (10768)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (10768)Memory used [KB]: 1155
% 0.60/0.76  % (10768)Time elapsed: 0.005 s
% 0.60/0.76  % (10768)Instructions burned: 10 (million)
% 0.60/0.76  % (10764)Success in time 0.465 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------