TSTP Solution File: RNG070+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG070+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 08:54:01 EDT 2024

% Result   : Theorem 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   37 (  12 unt;   1 typ;   0 def)
%            Number of atoms       :  169 (   3 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   70 (  31   ~;  30   |;   5   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   94 (  94 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   18 (  16 usr;  12 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   17 (  16   !;   0   ?;   5   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_6,type,
    sQ2_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f317,plain,
    $false,
    inference(avatar_sat_refutation,[],[f306,f310,f316]) ).

tff(f316,plain,
    spl3_8,
    inference(avatar_contradiction_clause,[],[f315]) ).

tff(f315,plain,
    ( $false
    | spl3_8 ),
    inference(subsumption_resolution,[],[f314,f147]) ).

tff(f147,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

tff(f52,axiom,
    ( ( xR = sdtasdt0(xC,xG) )
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/tmp/tmp.jphAUF5u0p/Vampire---4.8_10003',m__1892) ).

tff(f314,plain,
    ( ~ aScalar0(xR)
    | spl3_8 ),
    inference(subsumption_resolution,[],[f313,f151]) ).

tff(f151,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

tff(f54,axiom,
    ( ( xS = sdtasdt0(xF,xD) )
    & aScalar0(xS) ),
    file('/export/starexec/sandbox2/tmp/tmp.jphAUF5u0p/Vampire---4.8_10003',m__1930) ).

tff(f313,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl3_8 ),
    inference(resolution,[],[f303,f197]) ).

tff(f197,plain,
    ! [X0: $i,X1: $i] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f113]) ).

tff(f113,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f112]) ).

tff(f112,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.jphAUF5u0p/Vampire---4.8_10003',mSumSc) ).

tff(f303,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | spl3_8 ),
    inference(avatar_component_clause,[],[f301]) ).

tff(f301,plain,
    ( spl3_8
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

tff(f310,plain,
    spl3_7,
    inference(avatar_contradiction_clause,[],[f309]) ).

tff(f309,plain,
    ( $false
    | spl3_7 ),
    inference(subsumption_resolution,[],[f308,f149]) ).

tff(f149,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

tff(f53,axiom,
    ( ( xP = sdtasdt0(xE,xH) )
    & aScalar0(xP) ),
    file('/export/starexec/sandbox2/tmp/tmp.jphAUF5u0p/Vampire---4.8_10003',m__1911) ).

tff(f308,plain,
    ( ~ aScalar0(xP)
    | spl3_7 ),
    inference(duplicate_literal_removal,[],[f307]) ).

tff(f307,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl3_7 ),
    inference(resolution,[],[f299,f197]) ).

tff(f299,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_7 ),
    inference(avatar_component_clause,[],[f297]) ).

tff(f297,plain,
    ( spl3_7
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

tff(f306,plain,
    ( ~ spl3_8
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f305,f297,f301]) ).

tff(f305,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(subsumption_resolution,[],[f294,f160]) ).

tff(f160,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f63]) ).

tff(f63,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(flattening,[],[f62]) ).

tff(f62,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(negated_conjecture,[],[f61]) ).

tff(f61,conjecture,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox2/tmp/tmp.jphAUF5u0p/Vampire---4.8_10003',m__) ).

tff(f294,plain,
    ( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(resolution,[],[f186,f159]) ).

tff(f159,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f60]) ).

tff(f60,axiom,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/tmp/tmp.jphAUF5u0p/Vampire---4.8_10003',m__2590) ).

tff(f186,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

tff(f99,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f98]) ).

tff(f98,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

tff(f25,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.jphAUF5u0p/Vampire---4.8_10003',mLETot) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : RNG070+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.11  % 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
% 0.11/0.31  % Computer : n012.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 18:17:38 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a FOF_CAX_RFO_SEQ problem
% 0.11/0.31  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.jphAUF5u0p/Vampire---4.8_10003
% 0.63/0.80  % (10120)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.80  % (10122)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)
% 0.63/0.80  % (10118)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)
% 0.63/0.80  % (10121)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)
% 0.63/0.80  % (10123)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)
% 0.63/0.80  % (10119)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)
% 0.63/0.80  % (10124)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)
% 0.63/0.80  % (10125)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)
% 0.63/0.80  % (10118)First to succeed.
% 0.63/0.80  % (10125)Also succeeded, but the first one will report.
% 0.63/0.80  % (10118)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10114"
% 0.63/0.80  % (10119)Also succeeded, but the first one will report.
% 0.63/0.80  % (10118)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Theorem for Vampire---4
% 0.63/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80  % (10118)------------------------------
% 0.63/0.80  % (10118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (10118)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (10118)Memory used [KB]: 1171
% 0.63/0.80  % (10118)Time elapsed: 0.007 s
% 0.63/0.80  % (10118)Instructions burned: 8 (million)
% 0.63/0.80  % (10114)Success in time 0.484 s
% 0.63/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------