TSTP Solution File: RNG070+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG070+2 : 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 : n029.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 03:41:41 EDT 2024

% Result   : Theorem 0.77s 0.93s
% Output   : Refutation 0.77s
% 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(f334,plain,
    $false,
    inference(avatar_sat_refutation,[],[f323,f327,f333]) ).

tff(f333,plain,
    spl3_8,
    inference(avatar_contradiction_clause,[],[f332]) ).

tff(f332,plain,
    ( $false
    | spl3_8 ),
    inference(subsumption_resolution,[],[f331,f156]) ).

tff(f156,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

tff(f52,axiom,
    ( ( xR = sdtasdt0(xC,xG) )
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',m__1892) ).

tff(f331,plain,
    ( ~ aScalar0(xR)
    | spl3_8 ),
    inference(subsumption_resolution,[],[f330,f160]) ).

tff(f160,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

tff(f54,axiom,
    ( ( xS = sdtasdt0(xF,xD) )
    & aScalar0(xS) ),
    file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',m__1930) ).

tff(f330,plain,
    ( ~ aScalar0(xS)
    | ~ aScalar0(xR)
    | spl3_8 ),
    inference(resolution,[],[f320,f207]) ).

tff(f207,plain,
    ! [X0: $i,X1: $i] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f118]) ).

tff(f118,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f117]) ).

tff(f117,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.ssWAwrqXWr/Vampire---4.8_6791',mSumSc) ).

tff(f320,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | spl3_8 ),
    inference(avatar_component_clause,[],[f318]) ).

tff(f318,plain,
    ( spl3_8
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

tff(f327,plain,
    spl3_7,
    inference(avatar_contradiction_clause,[],[f326]) ).

tff(f326,plain,
    ( $false
    | spl3_7 ),
    inference(subsumption_resolution,[],[f325,f158]) ).

tff(f158,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

tff(f53,axiom,
    ( ( xP = sdtasdt0(xE,xH) )
    & aScalar0(xP) ),
    file('/export/starexec/sandbox2/tmp/tmp.ssWAwrqXWr/Vampire---4.8_6791',m__1911) ).

tff(f325,plain,
    ( ~ aScalar0(xP)
    | spl3_7 ),
    inference(duplicate_literal_removal,[],[f324]) ).

tff(f324,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl3_7 ),
    inference(resolution,[],[f316,f207]) ).

tff(f316,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | spl3_7 ),
    inference(avatar_component_clause,[],[f314]) ).

tff(f314,plain,
    ( spl3_7
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

tff(f323,plain,
    ( ~ spl3_8
    | ~ spl3_7 ),
    inference(avatar_split_clause,[],[f322,f314,f318]) ).

tff(f322,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(subsumption_resolution,[],[f311,f169]) ).

tff(f169,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.ssWAwrqXWr/Vampire---4.8_6791',m__) ).

tff(f311,plain,
    ( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(resolution,[],[f195,f168]) ).

tff(f168,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.ssWAwrqXWr/Vampire---4.8_6791',m__2590) ).

tff(f195,plain,
    ! [X0: $i,X1: $i] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

tff(f102,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f101]) ).

tff(f101,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.ssWAwrqXWr/Vampire---4.8_6791',mLETot) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15  % 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
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:51:50 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.37  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.ssWAwrqXWr/Vampire---4.8_6791
% 0.69/0.92  % (7038)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.69/0.92  % (7037)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.69/0.92  % (7035)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 (2994ds/34Mi)
% 0.69/0.92  % (7036)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 (2994ds/51Mi)
% 0.69/0.92  % (7039)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 (2994ds/34Mi)
% 0.69/0.92  % (7040)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.69/0.92  % (7041)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 (2994ds/83Mi)
% 0.69/0.93  % (7042)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 (2994ds/56Mi)
% 0.77/0.93  % (7035)First to succeed.
% 0.77/0.93  % (7042)Also succeeded, but the first one will report.
% 0.77/0.93  % (7035)Refutation found. Thanks to Tanya!
% 0.77/0.93  % SZS status Theorem for Vampire---4
% 0.77/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.93  % (7035)------------------------------
% 0.77/0.93  % (7035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93  % (7035)Termination reason: Refutation
% 0.77/0.93  
% 0.77/0.93  % (7035)Memory used [KB]: 1172
% 0.77/0.93  % (7035)Time elapsed: 0.007 s
% 0.77/0.93  % (7035)Instructions burned: 9 (million)
% 0.77/0.93  % (7035)------------------------------
% 0.77/0.93  % (7035)------------------------------
% 0.77/0.93  % (6958)Success in time 0.549 s
% 0.77/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------