TSTP Solution File: NUM457+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM457+1 : 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 : n023.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 08:12:13 EDT 2024

% Result   : Theorem 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (   9 unt;   0 def)
%            Number of atoms       :   85 (  48 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  101 (  44   ~;  40   |;  10   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f104,plain,
    $false,
    inference(subsumption_resolution,[],[f103,f45]) ).

fof(f45,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox/tmp/tmp.IseKqbgq0R/Vampire---4.8_32419',m__624) ).

fof(f103,plain,
    ~ aNaturalNumber0(xm),
    inference(subsumption_resolution,[],[f102,f58]) ).

fof(f58,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/tmp/tmp.IseKqbgq0R/Vampire---4.8_32419',mSortsC) ).

fof(f102,plain,
    ( ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(subsumption_resolution,[],[f101,f49]) ).

fof(f49,plain,
    sz00 != xn,
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( sz00 != xn
    & sz00 != xm
    & sz00 = sdtasdt0(xm,xn) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ( sz00 != xn
    & sz00 != xm
    & sz00 = sdtasdt0(xm,xn) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ( sz00 = sdtasdt0(xm,xn)
     => ( sz00 = xn
        | sz00 = xm ) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ( sz00 = sdtasdt0(xm,xn)
   => ( sz00 = xn
      | sz00 = xm ) ),
    file('/export/starexec/sandbox/tmp/tmp.IseKqbgq0R/Vampire---4.8_32419',m__) ).

fof(f101,plain,
    ( sz00 = xn
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(trivial_inequality_removal,[],[f96]) ).

fof(f96,plain,
    ( sz00 != sz00
    | sz00 = xn
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(superposition,[],[f81,f54]) ).

fof(f54,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox/tmp/tmp.IseKqbgq0R/Vampire---4.8_32419',m_MulZero) ).

fof(f81,plain,
    ! [X0] :
      ( sz00 != sdtasdt0(xm,X0)
      | xn = X0
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f80,f45]) ).

fof(f80,plain,
    ! [X0] :
      ( sz00 != sdtasdt0(xm,X0)
      | xn = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(xm) ),
    inference(subsumption_resolution,[],[f79,f48]) ).

fof(f48,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f22]) ).

fof(f79,plain,
    ! [X0] :
      ( sz00 != sdtasdt0(xm,X0)
      | xn = X0
      | ~ aNaturalNumber0(X0)
      | sz00 = xm
      | ~ aNaturalNumber0(xm) ),
    inference(subsumption_resolution,[],[f69,f46]) ).

fof(f46,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f17]) ).

fof(f69,plain,
    ! [X0] :
      ( sz00 != sdtasdt0(xm,X0)
      | xn = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(xn)
      | sz00 = xm
      | ~ aNaturalNumber0(xm) ),
    inference(superposition,[],[f52,f47]) ).

fof(f47,plain,
    sz00 = sdtasdt0(xm,xn),
    inference(cnf_transformation,[],[f22]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
      | X1 = X2
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.IseKqbgq0R/Vampire---4.8_32419',mMulCanc) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % 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
% 0.16/0.36  % Computer : n023.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 14:34:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.IseKqbgq0R/Vampire---4.8_32419
% 0.57/0.75  % (32747)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 (2996ds/83Mi)
% 0.61/0.76  % (32741)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 (2996ds/34Mi)
% 0.61/0.76  % (32744)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.76  % (32743)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (32745)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 (2996ds/34Mi)
% 0.61/0.76  % (32746)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.76  % (32742)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 (2996ds/51Mi)
% 0.61/0.76  % (32745)Refutation not found, incomplete strategy% (32745)------------------------------
% 0.61/0.76  % (32745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (32745)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (32745)Memory used [KB]: 1044
% 0.61/0.76  % (32745)Time elapsed: 0.003 s
% 0.61/0.76  % (32745)Instructions burned: 4 (million)
% 0.61/0.76  % (32746)First to succeed.
% 0.61/0.76  % (32745)------------------------------
% 0.61/0.76  % (32745)------------------------------
% 0.61/0.76  % (32746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32668"
% 0.61/0.76  % (32741)Refutation not found, incomplete strategy% (32741)------------------------------
% 0.61/0.76  % (32741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (32741)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (32741)Memory used [KB]: 1050
% 0.61/0.76  % (32741)Time elapsed: 0.005 s
% 0.61/0.76  % (32741)Instructions burned: 6 (million)
% 0.61/0.76  % (32746)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Theorem for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (32746)------------------------------
% 0.61/0.76  % (32746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (32746)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (32746)Memory used [KB]: 1050
% 0.61/0.76  % (32746)Time elapsed: 0.004 s
% 0.61/0.76  % (32746)Instructions burned: 5 (million)
% 0.61/0.76  % (32668)Success in time 0.381 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------