TSTP Solution File: NUM427+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM427+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 03:31:02 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   33 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  13   ~;   9   |;   5   &)
%                                         (   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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,plain,
    $false,
    inference(subsumption_resolution,[],[f154,f70]) ).

fof(f70,plain,
    aInteger0(xn),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn)
    & aInteger0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.ENsZXYFeFq/Vampire---4.8_28525',m__747) ).

fof(f154,plain,
    ~ aInteger0(xn),
    inference(resolution,[],[f152,f91]) ).

fof(f91,plain,
    ! [X0] :
      ( aInteger0(smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( aInteger0(smndt0(X0))
      | ~ aInteger0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( aInteger0(X0)
     => aInteger0(smndt0(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.ENsZXYFeFq/Vampire---4.8_28525',mIntNeg) ).

fof(f152,plain,
    ~ aInteger0(smndt0(xn)),
    inference(resolution,[],[f108,f107]) ).

fof(f107,plain,
    sQ2_eqProxy(sdtasdt0(xq,smndt0(xn)),sdtpldt0(xb,smndt0(xa))),
    inference(equality_proxy_replacement,[],[f72,f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( sQ2_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).

fof(f72,plain,
    sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
    file('/export/starexec/sandbox/tmp/tmp.ENsZXYFeFq/Vampire---4.8_28525',m__767) ).

fof(f108,plain,
    ! [X0] :
      ( ~ sQ2_eqProxy(sdtasdt0(xq,X0),sdtpldt0(xb,smndt0(xa)))
      | ~ aInteger0(X0) ),
    inference(equality_proxy_replacement,[],[f73,f103]) ).

fof(f73,plain,
    ! [X0] :
      ( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
      | ~ aInteger0(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
    & ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
    & ! [X0] :
        ( sdtasdt0(xq,X0) != sdtpldt0(xb,smndt0(xa))
        | ~ aInteger0(X0) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ( sdteqdtlpzmzozddtrp0(xb,xa,xq)
      | aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
      | ? [X0] :
          ( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa))
          & aInteger0(X0) ) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ( sdteqdtlpzmzozddtrp0(xb,xa,xq)
    | aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
    | ? [X0] :
        ( sdtasdt0(xq,X0) = sdtpldt0(xb,smndt0(xa))
        & aInteger0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ENsZXYFeFq/Vampire---4.8_28525',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : NUM427+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % 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
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Apr 30 16:51:35 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.32  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/tmp/tmp.ENsZXYFeFq/Vampire---4.8_28525
% 0.61/0.79  % (28637)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)
% 0.61/0.79  % (28638)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)
% 0.61/0.79  % (28639)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (28641)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)
% 0.61/0.79  % (28640)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)
% 0.61/0.79  % (28642)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)
% 0.61/0.79  % (28643)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)
% 0.61/0.79  % (28644)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)
% 0.61/0.80  % (28644)First to succeed.
% 0.61/0.80  % (28637)Also succeeded, but the first one will report.
% 0.61/0.80  % (28644)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (28644)------------------------------
% 0.61/0.80  % (28644)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (28644)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (28644)Memory used [KB]: 1068
% 0.61/0.80  % (28644)Time elapsed: 0.004 s
% 0.61/0.80  % (28644)Instructions burned: 4 (million)
% 0.61/0.80  % (28644)------------------------------
% 0.61/0.80  % (28644)------------------------------
% 0.61/0.80  % (28633)Success in time 0.471 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------