TSTP Solution File: NUM590+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM590+3 : 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 : n007.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 : Tue May 21 01:43:33 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :  100 (  17 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  108 (  30   ~;  19   |;  49   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1193,plain,
    $false,
    inference(subsumption_resolution,[],[f1183,f562]) ).

fof(f562,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448) ).

fof(f1183,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(resolution,[],[f1132,f1076]) ).

fof(f1076,plain,
    aElementOf0(sK40,sdtlpdtrp0(xN,xi)),
    inference(resolution,[],[f567,f572]) ).

fof(f572,plain,
    aElementOf0(sK40,xY),
    inference(cnf_transformation,[],[f328]) ).

fof(f328,plain,
    ( ~ aSubsetOf0(xY,szNzAzT0)
    & ~ aElementOf0(sK40,szNzAzT0)
    & aElementOf0(sK40,xY) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f130,f327]) ).

fof(f327,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        & aElementOf0(X0,xY) )
   => ( ~ aElementOf0(sK40,szNzAzT0)
      & aElementOf0(sK40,xY) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ( ~ aSubsetOf0(xY,szNzAzT0)
    & ? [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        & aElementOf0(X0,xY) ) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,negated_conjecture,
    ~ ( aSubsetOf0(xY,szNzAzT0)
      | ! [X0] :
          ( aElementOf0(X0,xY)
         => aElementOf0(X0,szNzAzT0) ) ),
    inference(negated_conjecture,[],[f92]) ).

fof(f92,conjecture,
    ( aSubsetOf0(xY,szNzAzT0)
    | ! [X0] :
        ( aElementOf0(X0,xY)
       => aElementOf0(X0,szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f567,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xY)
      | aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
    inference(cnf_transformation,[],[f326]) ).

fof(f326,plain,
    ( xd = sdtlpdtrp0(xC,xi)
    & xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
    & ! [X0] :
        ( ( aElementOf0(X0,xY)
          | szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
          | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
          | ~ aElement0(X0) )
        & ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
            & aElementOf0(X0,sdtlpdtrp0(xN,xi))
            & aElement0(X0) )
          | ~ aElementOf0(X0,xY) ) )
    & aSet0(xY)
    & ! [X1] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
        | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(flattening,[],[f325]) ).

fof(f325,plain,
    ( xd = sdtlpdtrp0(xC,xi)
    & xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
    & ! [X0] :
        ( ( aElementOf0(X0,xY)
          | szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
          | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
          | ~ aElement0(X0) )
        & ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
            & aElementOf0(X0,sdtlpdtrp0(xN,xi))
            & aElement0(X0) )
          | ~ aElementOf0(X0,xY) ) )
    & aSet0(xY)
    & ! [X1] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
        | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( xd = sdtlpdtrp0(xC,xi)
    & xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
    & ! [X0] :
        ( aElementOf0(X0,xY)
      <=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
          & aElementOf0(X0,sdtlpdtrp0(xN,xi))
          & aElement0(X0) ) )
    & aSet0(xY)
    & ! [X1] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
        | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ( xd = sdtlpdtrp0(xC,xi)
    & xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
    & ! [X0] :
        ( aElementOf0(X0,xY)
      <=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
          & aElementOf0(X0,sdtlpdtrp0(xN,xi))
          & aElement0(X0) ) )
    & aSet0(xY)
    & ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    inference(rectify,[],[f91]) ).

fof(f91,axiom,
    ( xd = sdtlpdtrp0(xC,xi)
    & xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
    & ! [X0] :
        ( aElementOf0(X0,xY)
      <=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
          & aElementOf0(X0,sdtlpdtrp0(xN,xi))
          & aElement0(X0) ) )
    & aSet0(xY)
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).

fof(f1132,plain,
    ! [X0] :
      ( ~ aElementOf0(sK40,sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(resolution,[],[f455,f573]) ).

fof(f573,plain,
    ~ aElementOf0(sK40,szNzAzT0),
    inference(cnf_transformation,[],[f328]) ).

fof(f455,plain,
    ! [X0,X1] :
      ( aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & ! [X1] :
            ( aElementOf0(X1,szNzAzT0)
            | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
        & aSet0(sdtlpdtrp0(xN,X0)) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & ! [X1] :
            ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
           => aElementOf0(X1,szNzAzT0) )
        & aSet0(sdtlpdtrp0(xN,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : NUM590+3 : TPTP v8.2.0. Released v4.0.0.
% 0.15/0.17  % 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
% 0.17/0.39  % Computer : n007.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Mon May 20 05:38:38 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.17/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.39  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
% 0.60/0.77  % (9257)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)
% 0.60/0.77  % (9259)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)
% 0.60/0.77  % (9260)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)
% 0.60/0.77  % (9261)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.60/0.77  % (9256)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.77  % (9254)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)
% 0.60/0.77  % (9255)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)
% 0.60/0.78  % (9258)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)
% 0.60/0.78  % (9257)Instruction limit reached!
% 0.60/0.78  % (9257)------------------------------
% 0.60/0.78  % (9257)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (9257)Termination reason: Unknown
% 0.60/0.78  % (9257)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (9257)Memory used [KB]: 1785
% 0.60/0.78  % (9257)Time elapsed: 0.012 s
% 0.60/0.78  % (9257)Instructions burned: 34 (million)
% 0.60/0.78  % (9257)------------------------------
% 0.60/0.78  % (9257)------------------------------
% 0.60/0.79  % (9261)First to succeed.
% 0.60/0.79  % (9261)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9253"
% 0.60/0.79  % (9254)Also succeeded, but the first one will report.
% 0.60/0.79  % (9261)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for theBenchmark
% 0.60/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.79  % (9261)------------------------------
% 0.60/0.79  % (9261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (9261)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (9261)Memory used [KB]: 1660
% 0.60/0.79  % (9261)Time elapsed: 0.020 s
% 0.60/0.79  % (9261)Instructions burned: 32 (million)
% 0.60/0.79  % (9253)Success in time 0.403 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------