TSTP Solution File: NUM582+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM582+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 01:43:28 EDT 2024

% Result   : Theorem 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :   64 (   7 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   67 (  28   ~;  20   |;  14   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f977,plain,
    $false,
    inference(subsumption_resolution,[],[f975,f272]) ).

fof(f272,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989) ).

fof(f975,plain,
    ~ aElementOf0(xi,szNzAzT0),
    inference(resolution,[],[f959,f317]) ).

fof(f317,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( sdtlseqdt0(sz00,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => sdtlseqdt0(sz00,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).

fof(f959,plain,
    ~ sdtlseqdt0(sz00,xi),
    inference(subsumption_resolution,[],[f958,f272]) ).

fof(f958,plain,
    ( ~ sdtlseqdt0(sz00,xi)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(subsumption_resolution,[],[f947,f322]) ).

fof(f322,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).

fof(f947,plain,
    ( ~ sdtlseqdt0(sz00,xi)
    | ~ aElementOf0(sz00,szNzAzT0)
    | ~ aElementOf0(xi,szNzAzT0) ),
    inference(resolution,[],[f270,f403]) ).

fof(f403,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00)),
    inference(forward_demodulation,[],[f275,f265]) ).

fof(f265,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ( ! [X0] :
        ( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X0))
            & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).

fof(f275,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(flattening,[],[f89]) ).

fof(f89,negated_conjecture,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(negated_conjecture,[],[f88]) ).

fof(f88,conjecture,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f270,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X0,szNzAzT0) )
     => ( sdtlseqdt0(X1,X0)
       => aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : NUM582+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11  % 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
% 0.10/0.32  % Computer : n026.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon May 20 06:07:08 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  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/benchmark/theBenchmark.p
% 0.60/0.81  % (3309)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.81  % (3311)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)
% 0.60/0.81  % (3307)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)
% 0.60/0.81  % (3310)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)
% 0.60/0.81  % (3308)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)
% 0.60/0.81  % (3312)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)
% 0.60/0.81  % (3313)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)
% 0.60/0.81  % (3314)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 (2995ds/56Mi)
% 0.60/0.83  % (3311)Instruction limit reached!
% 0.60/0.83  % (3311)------------------------------
% 0.60/0.83  % (3311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (3311)Termination reason: Unknown
% 0.60/0.83  % (3311)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (3311)Memory used [KB]: 1653
% 0.60/0.83  % (3311)Time elapsed: 0.019 s
% 0.60/0.83  % (3311)Instructions burned: 34 (million)
% 0.60/0.83  % (3311)------------------------------
% 0.60/0.83  % (3311)------------------------------
% 0.60/0.83  % (3312)First to succeed.
% 0.60/0.83  % (3310)Instruction limit reached!
% 0.60/0.83  % (3310)------------------------------
% 0.60/0.83  % (3310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (3310)Termination reason: Unknown
% 0.60/0.83  % (3310)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (3310)Memory used [KB]: 1699
% 0.60/0.83  % (3310)Time elapsed: 0.020 s
% 0.60/0.83  % (3310)Instructions burned: 33 (million)
% 0.60/0.83  % (3310)------------------------------
% 0.60/0.83  % (3310)------------------------------
% 0.60/0.83  % (3312)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3306"
% 0.60/0.83  % (3307)Instruction limit reached!
% 0.60/0.83  % (3307)------------------------------
% 0.60/0.83  % (3307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (3307)Termination reason: Unknown
% 0.60/0.83  % (3307)Termination phase: Saturation
% 0.60/0.83  
% 0.60/0.83  % (3307)Memory used [KB]: 1517
% 0.60/0.83  % (3307)Time elapsed: 0.020 s
% 0.60/0.83  % (3307)Instructions burned: 34 (million)
% 0.60/0.83  % (3307)------------------------------
% 0.60/0.83  % (3307)------------------------------
% 0.60/0.83  % (3312)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Theorem for theBenchmark
% 0.60/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.83  % (3312)------------------------------
% 0.60/0.83  % (3312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (3312)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (3312)Memory used [KB]: 1407
% 0.60/0.83  % (3312)Time elapsed: 0.020 s
% 0.60/0.83  % (3312)Instructions burned: 32 (million)
% 0.60/0.83  % (3306)Success in time 0.502 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------