TSTP Solution File: SYO898_9 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO898_9 : TPTP v8.2.0. Released v8.2.0.
% 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 : n021.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 : Tue May 21 09:09:36 EDT 2024

% Result   : Theorem 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   37 (  13   ~;   6   |;   6   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    5 (   4   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   21 (  15   !;   6   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    '$ki_world': $tType ).

tff(func_def_0,type,
    '$ki_local_world': '$ki_world' ).

tff(func_def_1,type,
    sK0: '$ki_world' > '$ki_world' ).

tff(pred_def_1,type,
    '$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).

tff(pred_def_2,type,
    p: '$ki_world' > $o ).

tff(pred_def_3,type,
    q: '$ki_world' > $o ).

tff(f14,plain,
    $false,
    inference(resolution,[],[f13,f12]) ).

tff(f12,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,sK0(X0)),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,sK0(X0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f8]) ).

tff(f8,plain,
    ! [X0: '$ki_world'] :
      ( ? [X1: '$ki_world'] : '$ki_accessible'(X0,X1)
     => '$ki_accessible'(X0,sK0(X0)) ),
    introduced(choice_axiom,[]) ).

tff(f1,axiom,
    ! [X0: '$ki_world'] :
    ? [X1: '$ki_world'] : '$ki_accessible'(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_serial) ).

tff(f13,plain,
    ! [X1: '$ki_world'] : ~ '$ki_accessible'('$ki_local_world',X1),
    inference(subsumption_resolution,[],[f10,f11]) ).

tff(f11,plain,
    ! [X0: '$ki_world'] :
      ( ~ p(X0)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,plain,
    ( ! [X0: '$ki_world'] :
        ( ~ p(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    & ! [X1: '$ki_world'] :
        ( p(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,plain,
    ( ! [X1: '$ki_world'] :
        ( ~ p(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    & ! [X0: '$ki_world'] :
        ( p(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => p(X0) )
     => ? [X1: '$ki_world'] :
          ( p(X1)
          & '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(pure_predicate_removal,[],[f4]) ).

tff(f4,plain,
    ~ ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => p(X0) )
     => ? [X1: '$ki_world'] :
          ( ( q(X1)
           => p(X1) )
          & '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ( ! [X0: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X0)
         => p(X0) )
     => ? [X0: '$ki_world'] :
          ( ( q(X0)
           => p(X0) )
          & '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ( ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => p(X0) )
   => ? [X0: '$ki_world'] :
        ( ( q(X0)
         => p(X0) )
        & '$ki_accessible'('$ki_local_world',X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(f10,plain,
    ! [X1: '$ki_world'] :
      ( p(X1)
      | ~ '$ki_accessible'('$ki_local_world',X1) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO898_9 : TPTP v8.2.0. Released v8.2.0.
% 0.11/0.13  % 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
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 09:53:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TF0_THM_NEQ_NAR problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.47/0.72  % (11170)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.72  % (11162)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 theBenchmark for (2996ds/34Mi)
% 0.57/0.72  % (11163)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 theBenchmark for (2996ds/51Mi)
% 0.57/0.72  % (11165)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.72  % (11170)First to succeed.
% 0.57/0.72  % (11170)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11161"
% 0.57/0.73  % (11169)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 theBenchmark for (2996ds/83Mi)
% 0.57/0.73  % (11163)Also succeeded, but the first one will report.
% 0.57/0.73  % (11165)Also succeeded, but the first one will report.
% 0.57/0.73  % (11162)Also succeeded, but the first one will report.
% 0.57/0.73  % (11170)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Theorem for theBenchmark
% 0.57/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.73  % (11170)------------------------------
% 0.57/0.73  % (11170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (11170)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (11170)Memory used [KB]: 970
% 0.57/0.73  % (11170)Time elapsed: 0.002 s
% 0.57/0.73  % (11170)Instructions burned: 2 (million)
% 0.57/0.73  % (11161)Success in time 0.373 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------