TSTP Solution File: NUM432+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM432+3 : 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 : n010.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 : Sun May  5 08:11:58 EDT 2024

% Result   : Theorem 0.52s 0.71s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   44 (   9 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   42 (  19   ~;  14   |;   7   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   15 (  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f191,plain,
    $false,
    inference(subsumption_resolution,[],[f190,f81]) ).

fof(f81,plain,
    aInteger0(xn),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn)
    & aInteger0(xn) ),
    file('/export/starexec/sandbox2/tmp/tmp.ivCSGoflMg/Vampire---4.8_9082',m__876) ).

fof(f190,plain,
    ~ aInteger0(xn),
    inference(subsumption_resolution,[],[f189,f83]) ).

fof(f83,plain,
    aInteger0(xm),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,axiom,
    ( sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,xm)
    & aInteger0(xm) ),
    file('/export/starexec/sandbox2/tmp/tmp.ivCSGoflMg/Vampire---4.8_9082',m__899) ).

fof(f189,plain,
    ( ~ aInteger0(xm)
    | ~ aInteger0(xn) ),
    inference(resolution,[],[f188,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( aInteger0(sdtpldt0(X0,X1))
      | ~ aInteger0(X1)
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aInteger0(X1)
        & aInteger0(X0) )
     => aInteger0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ivCSGoflMg/Vampire---4.8_9082',mIntPlus) ).

fof(f188,plain,
    ~ aInteger0(sdtpldt0(xn,xm)),
    inference(resolution,[],[f123,f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ sQ3_eqProxy(sdtasdt0(xq,X0),sdtpldt0(xa,smndt0(xc)))
      | ~ aInteger0(X0) ),
    inference(equality_proxy_replacement,[],[f86,f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( sQ3_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).

fof(f86,plain,
    ! [X0] :
      ( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xc))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ~ sdteqdtlpzmzozddtrp0(xa,xc,xq)
    & ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
    & ! [X0] :
        ( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xc))
        | ~ aInteger0(X0) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ( sdteqdtlpzmzozddtrp0(xa,xc,xq)
      | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
      | ? [X0] :
          ( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xc))
          & aInteger0(X0) ) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ( sdteqdtlpzmzozddtrp0(xa,xc,xq)
    | aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
    | ? [X0] :
        ( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xc))
        & aInteger0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ivCSGoflMg/Vampire---4.8_9082',m__) ).

fof(f123,plain,
    sQ3_eqProxy(sdtasdt0(xq,sdtpldt0(xn,xm)),sdtpldt0(xa,smndt0(xc))),
    inference(equality_proxy_replacement,[],[f85,f117]) ).

fof(f85,plain,
    sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,axiom,
    sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
    file('/export/starexec/sandbox2/tmp/tmp.ivCSGoflMg/Vampire---4.8_9082',m__924) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : NUM432+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.10  % 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
% 0.09/0.30  % Computer : n010.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Fri May  3 14:33:07 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.09/0.30  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.ivCSGoflMg/Vampire---4.8_9082
% 0.52/0.71  % (9192)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)
% 0.52/0.71  % (9195)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)
% 0.52/0.71  % (9193)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.52/0.71  % (9194)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)
% 0.52/0.71  % (9191)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)
% 0.52/0.71  % (9196)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)
% 0.52/0.71  % (9198)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)
% 0.52/0.71  % (9197)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)
% 0.52/0.71  % (9198)First to succeed.
% 0.52/0.71  % (9191)Also succeeded, but the first one will report.
% 0.52/0.71  % (9196)Also succeeded, but the first one will report.
% 0.52/0.71  % (9198)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9190"
% 0.52/0.71  % (9195)Also succeeded, but the first one will report.
% 0.52/0.71  % (9198)Refutation found. Thanks to Tanya!
% 0.52/0.71  % SZS status Theorem for Vampire---4
% 0.52/0.71  % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.71  % (9198)------------------------------
% 0.52/0.71  % (9198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71  % (9198)Termination reason: Refutation
% 0.52/0.71  
% 0.52/0.71  % (9198)Memory used [KB]: 1073
% 0.52/0.71  % (9198)Time elapsed: 0.004 s
% 0.52/0.71  % (9198)Instructions burned: 5 (million)
% 0.52/0.71  % (9190)Success in time 0.409 s
% 0.52/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------