TSTP Solution File: NUM429+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM429+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 01:42:04 EDT 2024

% Result   : Theorem 0.56s 0.78s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   46 (  16 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   40 (   8   ~;   3   |;  27   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   3   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f116,plain,
    $false,
    inference(resolution,[],[f103,f115]) ).

fof(f115,plain,
    ~ aInteger0(sK2),
    inference(equality_resolution,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( sdtasdt0(xq,X0) != sdtasdt0(xq,sK2)
      | ~ aInteger0(X0) ),
    inference(forward_demodulation,[],[f111,f104]) ).

fof(f104,plain,
    sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK2),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( sdteqdtlpzmzozddtrp0(xb,xc,xq)
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK1)
    & aInteger0(sK1)
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK2)
    & aInteger0(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f27,f65,f64]) ).

fof(f64,plain,
    ( ? [X0] :
        ( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
        & aInteger0(X0) )
   => ( sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,sK1)
      & aInteger0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ( ? [X1] :
        ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X1)
        & aInteger0(X1) )
   => ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sK2)
      & aInteger0(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ( sdteqdtlpzmzozddtrp0(xb,xc,xq)
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & ? [X0] :
        ( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
        & aInteger0(X0) )
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & ? [X1] :
        ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,X1)
        & aInteger0(X1) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ( sdteqdtlpzmzozddtrp0(xb,xc,xq)
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & ? [X0] :
        ( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xc))
        & aInteger0(X0) )
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & ? [X0] :
        ( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
        & aInteger0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).

fof(f111,plain,
    ! [X0] :
      ( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb))
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,negated_conjecture,
    ~ ? [X0] :
        ( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
        & aInteger0(X0) ),
    inference(negated_conjecture,[],[f24]) ).

fof(f24,conjecture,
    ? [X0] :
      ( sdtasdt0(xq,X0) = sdtpldt0(xa,smndt0(xb))
      & aInteger0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f103,plain,
    aInteger0(sK2),
    inference(cnf_transformation,[],[f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : NUM429+3 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.10  % 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
% 0.10/0.30  % Computer : n021.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.30  % CPULimit   : 300
% 0.14/0.30  % WCLimit    : 300
% 0.14/0.30  % DateTime   : Mon May 20 03:46:53 EDT 2024
% 0.14/0.30  % CPUTime    : 
% 0.14/0.30  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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.77  % (1451)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.56/0.77  % (1449)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)
% 0.56/0.77  % (1450)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)
% 0.56/0.77  % (1452)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)
% 0.56/0.77  % (1453)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)
% 0.56/0.77  % (1454)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)
% 0.56/0.77  % (1455)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)
% 0.56/0.77  % (1456)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)
% 0.56/0.78  % (1450)First to succeed.
% 0.56/0.78  % (1449)Also succeeded, but the first one will report.
% 0.56/0.78  % (1450)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1448"
% 0.56/0.78  % (1451)Also succeeded, but the first one will report.
% 0.56/0.78  % (1456)Also succeeded, but the first one will report.
% 0.56/0.78  % (1453)Also succeeded, but the first one will report.
% 0.56/0.78  % (1450)Refutation found. Thanks to Tanya!
% 0.56/0.78  % SZS status Theorem for theBenchmark
% 0.56/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.78  % (1450)------------------------------
% 0.56/0.78  % (1450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78  % (1450)Termination reason: Refutation
% 0.56/0.78  
% 0.56/0.78  % (1450)Memory used [KB]: 1042
% 0.56/0.78  % (1450)Time elapsed: 0.004 s
% 0.56/0.78  % (1450)Instructions burned: 4 (million)
% 0.56/0.78  % (1448)Success in time 0.476 s
% 0.56/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------