TSTP Solution File: SYO204_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO204_8 : TPTP v8.1.2. Released v8.0.0.
% 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 : n015.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 12:20:04 EDT 2024

% Result   : Theorem 0.71s 0.91s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   5 unt;   2 typ;   0 def)
%            Number of atoms       :   39 (  15 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   21 (  10   ~;   0   |;   4   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   42 (  20 fml;  22 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   25 (  15   !;   9   ?;  25   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_2,type,
    sK0: $o > $o ).

tff(pred_def_1,type,
    sQ1_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f20,plain,
    $false,
    inference(subsumption_resolution,[],[f14,f15]) ).

tff(f15,plain,
    ! [X0: $o] : sQ1_eqProxy($o,$true,(X0)),
    inference(equality_proxy_replacement,[],[f11,f13]) ).

tff(f13,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ1_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ1_eqProxy])]) ).

tff(f11,plain,
    ! [X0: $o] : ( $true = (X0) ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ! [X0: $o] :
      ( ( $true != sK0((X0)) )
      & ( $true = (X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).

tff(f9,plain,
    ! [X0: $o] :
      ( ? [X1: $o] :
          ( ( $true != (X1) )
          & ( $true = (X0) ) )
     => ( ( $true != sK0((X0)) )
        & ( $true = (X0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f8,plain,
    ! [X0: $o] :
    ? [X1: $o] :
      ( ( $true != (X1) )
      & ( $true = (X0) ) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,plain,
    ~ ? [X0: $o] :
      ! [X1: $o] :
        ( ( $true = (X0) )
       => ( $true = (X1) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,plain,
    ~ ? [X1: $o] :
      ! [X2: $o] :
        ( ( $true = (X1) )
       => ( $true = (X2) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ? [X1: $o] :
      ! [X2: $o] :
        ( (X1)
       => (X2) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $o,X1: $o] :
      ! [X2: $o] :
        ( (X1)
       => (X2) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $o,X1: $o] :
    ! [X2: $o] :
      ( (X1)
     => (X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.5KY5GzWvK1/Vampire---4.8_20904',cCT313) ).

tff(f14,plain,
    ! [X0: $o] : ~ sQ1_eqProxy($o,$true,sK0((X0))),
    inference(equality_proxy_replacement,[],[f12,f13]) ).

tff(f12,plain,
    ! [X0: $o] : ( $true != sK0((X0)) ),
    inference(cnf_transformation,[],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYO204_8 : TPTP v8.1.2. Released v8.0.0.
% 0.14/0.15  % 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
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 16:13:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TX0_THM_NEQ_NAR problem
% 0.21/0.36  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.5KY5GzWvK1/Vampire---4.8_20904
% 0.71/0.90  % (21176)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)
% 0.71/0.90  % (21179)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)
% 0.71/0.90  % (21178)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.90  % (21177)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)
% 0.71/0.90  % (21180)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)
% 0.71/0.90  % (21181)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)
% 0.71/0.90  % (21182)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)
% 0.71/0.90  % (21183)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)
% 0.71/0.90  % (21176)First to succeed.
% 0.71/0.90  % (21179)Also succeeded, but the first one will report.
% 0.71/0.90  % (21178)Also succeeded, but the first one will report.
% 0.71/0.90  % (21182)Also succeeded, but the first one will report.
% 0.71/0.90  % (21181)Also succeeded, but the first one will report.
% 0.71/0.90  % (21177)Also succeeded, but the first one will report.
% 0.71/0.90  % (21180)Also succeeded, but the first one will report.
% 0.71/0.90  % (21183)Also succeeded, but the first one will report.
% 0.71/0.90  % (21176)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21113"
% 0.71/0.91  % (21176)Refutation found. Thanks to Tanya!
% 0.71/0.91  % SZS status Theorem for Vampire---4
% 0.71/0.91  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.91  % (21176)------------------------------
% 0.71/0.91  % (21176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.91  % (21176)Termination reason: Refutation
% 0.71/0.91  
% 0.71/0.91  % (21176)Memory used [KB]: 955
% 0.71/0.91  % (21176)Time elapsed: 0.003 s
% 0.71/0.91  % (21176)Instructions burned: 2 (million)
% 0.71/0.91  % (21113)Success in time 0.538 s
% 0.71/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------