TSTP Solution File: RNG125+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG125+4 : 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 : n014.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 08:54:25 EDT 2024

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (   5 unt;   0 def)
%            Number of atoms       :   91 (  20 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  105 (  42   ~;  25   |;  34   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (   6   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f441,plain,
    $false,
    inference(avatar_sat_refutation,[],[f431,f436,f440]) ).

fof(f440,plain,
    ~ spl45_3,
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f439,plain,
    ( $false
    | ~ spl45_3 ),
    inference(subsumption_resolution,[],[f437,f270]) ).

fof(f270,plain,
    doDivides0(xu,xa),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,plain,
    ( doDivides0(xu,xa)
    & xa = sdtasdt0(xu,sK25)
    & aElement0(sK25) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f58,f149]) ).

fof(f149,plain,
    ( ? [X0] :
        ( xa = sdtasdt0(xu,X0)
        & aElement0(X0) )
   => ( xa = sdtasdt0(xu,sK25)
      & aElement0(sK25) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ( doDivides0(xu,xa)
    & ? [X0] :
        ( xa = sdtasdt0(xu,X0)
        & aElement0(X0) ) ),
    inference(flattening,[],[f48]) ).

fof(f48,axiom,
    ~ ~ ( doDivides0(xu,xa)
        & ? [X0] :
            ( xa = sdtasdt0(xu,X0)
            & aElement0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.c5RybkHzSd/Vampire---4.8_16687',m__2479) ).

fof(f437,plain,
    ( ~ doDivides0(xu,xa)
    | ~ spl45_3 ),
    inference(resolution,[],[f421,f260]) ).

fof(f260,plain,
    ( ~ sP2
    | ~ doDivides0(xu,xa) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ( ( ~ aDivisorOf0(xu,xa)
      & ~ doDivides0(xu,xa)
      & ! [X0] :
          ( xa != sdtasdt0(xu,X0)
          | ~ aElement0(X0) ) )
    | ~ sP2 ),
    inference(rectify,[],[f145]) ).

fof(f145,plain,
    ( ( ~ aDivisorOf0(xu,xa)
      & ~ doDivides0(xu,xa)
      & ! [X1] :
          ( xa != sdtasdt0(xu,X1)
          | ~ aElement0(X1) ) )
    | ~ sP2 ),
    inference(nnf_transformation,[],[f112]) ).

fof(f112,plain,
    ( ( ~ aDivisorOf0(xu,xa)
      & ~ doDivides0(xu,xa)
      & ! [X1] :
          ( xa != sdtasdt0(xu,X1)
          | ~ aElement0(X1) ) )
    | ~ sP2 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f421,plain,
    ( sP2
    | ~ spl45_3 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f419,plain,
    ( spl45_3
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl45_3])]) ).

fof(f436,plain,
    spl45_5,
    inference(avatar_split_clause,[],[f273,f428]) ).

fof(f428,plain,
    ( spl45_5
  <=> doDivides0(xu,xb) ),
    introduced(avatar_definition,[new_symbols(naming,[spl45_5])]) ).

fof(f273,plain,
    doDivides0(xu,xb),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( doDivides0(xu,xb)
    & xb = sdtasdt0(xu,sK26)
    & aElement0(sK26) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f59,f151]) ).

fof(f151,plain,
    ( ? [X0] :
        ( xb = sdtasdt0(xu,X0)
        & aElement0(X0) )
   => ( xb = sdtasdt0(xu,sK26)
      & aElement0(sK26) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ( doDivides0(xu,xb)
    & ? [X0] :
        ( xb = sdtasdt0(xu,X0)
        & aElement0(X0) ) ),
    inference(flattening,[],[f49]) ).

fof(f49,axiom,
    ~ ~ ( doDivides0(xu,xb)
        & ? [X0] :
            ( xb = sdtasdt0(xu,X0)
            & aElement0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.c5RybkHzSd/Vampire---4.8_16687',m__2612) ).

fof(f431,plain,
    ( spl45_3
    | ~ spl45_5 ),
    inference(avatar_split_clause,[],[f263,f428,f419]) ).

fof(f263,plain,
    ( ~ doDivides0(xu,xb)
    | sP2 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ( ( ~ aDivisorOf0(xu,xb)
      & ~ doDivides0(xu,xb)
      & ! [X0] :
          ( xb != sdtasdt0(xu,X0)
          | ~ aElement0(X0) ) )
    | sP2 ),
    inference(definition_folding,[],[f73,f112]) ).

fof(f73,plain,
    ( ( ~ aDivisorOf0(xu,xb)
      & ~ doDivides0(xu,xb)
      & ! [X0] :
          ( xb != sdtasdt0(xu,X0)
          | ~ aElement0(X0) ) )
    | ( ~ aDivisorOf0(xu,xa)
      & ~ doDivides0(xu,xa)
      & ! [X1] :
          ( xa != sdtasdt0(xu,X1)
          | ~ aElement0(X1) ) ) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ~ ( ( aDivisorOf0(xu,xb)
        | doDivides0(xu,xb)
        | ? [X0] :
            ( xb = sdtasdt0(xu,X0)
            & aElement0(X0) ) )
      & ( aDivisorOf0(xu,xa)
        | doDivides0(xu,xa)
        | ? [X1] :
            ( xa = sdtasdt0(xu,X1)
            & aElement0(X1) ) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ~ ( ( aDivisorOf0(xu,xb)
        | doDivides0(xu,xb)
        | ? [X0] :
            ( xb = sdtasdt0(xu,X0)
            & aElement0(X0) ) )
      & ( aDivisorOf0(xu,xa)
        | doDivides0(xu,xa)
        | ? [X0] :
            ( xa = sdtasdt0(xu,X0)
            & aElement0(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.c5RybkHzSd/Vampire---4.8_16687',m__2383) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : RNG125+4 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15  % 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
% 0.16/0.36  % Computer : n014.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 18:19:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_CAX_RFO_SEQ problem
% 0.22/0.36  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.c5RybkHzSd/Vampire---4.8_16687
% 0.61/0.80  % (17066)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  % (17059)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)
% 0.61/0.80  % (17061)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (17060)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)
% 0.61/0.80  % (17062)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)
% 0.61/0.80  % (17064)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)
% 0.61/0.80  % (17063)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)
% 0.61/0.80  % (17065)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)
% 0.61/0.81  % (17066)First to succeed.
% 0.61/0.81  % (17066)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16968"
% 0.61/0.81  % (17066)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Theorem for Vampire---4
% 0.61/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81  % (17066)------------------------------
% 0.61/0.81  % (17066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (17066)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (17066)Memory used [KB]: 1200
% 0.61/0.81  % (17066)Time elapsed: 0.005 s
% 0.61/0.81  % (17066)Instructions burned: 10 (million)
% 0.61/0.81  % (16968)Success in time 0.432 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------