TSTP Solution File: NUM472+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM472+2 : TPTP v8.1.2. 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 : n005.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 03:31:25 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   22 (   5 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   20 (   9   ~;   5   |;   5   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   6   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f267,plain,
    $false,
    inference(subsumption_resolution,[],[f266,f169]) ).

fof(f169,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xl) ),
    file('/export/starexec/sandbox2/tmp/tmp.CLOShXO1mb/Vampire---4.8_22003',m__1324) ).

fof(f266,plain,
    ~ aNaturalNumber0(xn),
    inference(resolution,[],[f242,f243]) ).

fof(f243,plain,
    ! [X0] : sQ4_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( sQ4_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ sQ4_eqProxy(sdtpldt0(xm,xn),sdtpldt0(xm,X0))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_proxy_replacement,[],[f183,f195]) ).

fof(f183,plain,
    ! [X0] :
      ( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
    & ! [X0] :
        ( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
      | ? [X0] :
          ( sdtpldt0(xm,xn) = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) ) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
    | ? [X0] :
        ( sdtpldt0(xm,xn) = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.CLOShXO1mb/Vampire---4.8_22003',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : NUM472+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % 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
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 16:54:26 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33  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.CLOShXO1mb/Vampire---4.8_22003
% 0.60/0.81  % (22119)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (22117)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)
% 0.60/0.81  % (22118)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)
% 0.60/0.81  % (22122)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)
% 0.60/0.81  % (22120)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)
% 0.60/0.81  % (22121)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)
% 0.60/0.81  % (22123)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)
% 0.60/0.81  % (22124)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)
% 0.60/0.81  % (22121)First to succeed.
% 0.60/0.81  % (22122)Also succeeded, but the first one will report.
% 0.60/0.81  % (22118)Also succeeded, but the first one will report.
% 0.60/0.81  % (22121)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (22121)------------------------------
% 0.60/0.81  % (22121)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (22121)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (22121)Memory used [KB]: 1141
% 0.60/0.81  % (22121)Time elapsed: 0.005 s
% 0.60/0.81  % (22121)Instructions burned: 6 (million)
% 0.60/0.81  % (22121)------------------------------
% 0.60/0.81  % (22121)------------------------------
% 0.60/0.81  % (22113)Success in time 0.483 s
% 0.60/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------