TSTP Solution File: SYO895_9 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO895_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 09:09:35 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   81 (  28   ~;  18   |;  20   &)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    5 (   4   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   23 (  19   !;   4   ?;  23   :)

% 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(func_def_2,type,
    sK1: '$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(f30,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f27,f29]) ).

tff(f29,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f28,f22]) ).

tff(f22,plain,
    ( spl2_2
  <=> q(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

tff(f28,plain,
    q(sK1),
    inference(resolution,[],[f14,f15]) ).

tff(f15,plain,
    '$ki_accessible'('$ki_local_world',sK1),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ( ( ~ q(sK1)
      | ~ p(sK1) )
    & '$ki_accessible'('$ki_local_world',sK1)
    & ! [X1: '$ki_world'] :
        ( q(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    & ! [X2: '$ki_world'] :
        ( p(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f9,f10]) ).

tff(f10,plain,
    ( ? [X0: '$ki_world'] :
        ( ( ~ q(X0)
          | ~ p(X0) )
        & '$ki_accessible'('$ki_local_world',X0) )
   => ( ( ~ q(sK1)
        | ~ p(sK1) )
      & '$ki_accessible'('$ki_local_world',sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f9,plain,
    ( ? [X0: '$ki_world'] :
        ( ( ~ q(X0)
          | ~ p(X0) )
        & '$ki_accessible'('$ki_local_world',X0) )
    & ! [X1: '$ki_world'] :
        ( q(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) )
    & ! [X2: '$ki_world'] :
        ( p(X2)
        | ~ '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(rectify,[],[f6]) ).

tff(f6,plain,
    ( ? [X2: '$ki_world'] :
        ( ( ~ q(X2)
          | ~ p(X2) )
        & '$ki_accessible'('$ki_local_world',X2) )
    & ! [X0: '$ki_world'] :
        ( q(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    & ! [X1: '$ki_world'] :
        ( p(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(flattening,[],[f5]) ).

tff(f5,plain,
    ( ? [X2: '$ki_world'] :
        ( ( ~ q(X2)
          | ~ p(X2) )
        & '$ki_accessible'('$ki_local_world',X2) )
    & ! [X0: '$ki_world'] :
        ( q(X0)
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    & ! [X1: '$ki_world'] :
        ( p(X1)
        | ~ '$ki_accessible'('$ki_local_world',X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f4,plain,
    ~ ( ( ! [X0: '$ki_world'] :
            ( '$ki_accessible'('$ki_local_world',X0)
           => q(X0) )
        & ! [X1: '$ki_world'] :
            ( '$ki_accessible'('$ki_local_world',X1)
           => p(X1) ) )
     => ! [X2: '$ki_world'] :
          ( '$ki_accessible'('$ki_local_world',X2)
         => ( q(X2)
            & p(X2) ) ) ),
    inference(rectify,[],[f3]) ).

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

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

tff(f14,plain,
    ! [X1: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X1)
      | q(X1) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f27,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f26,f18]) ).

tff(f18,plain,
    ( spl2_1
  <=> p(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

tff(f26,plain,
    p(sK1),
    inference(resolution,[],[f13,f15]) ).

tff(f13,plain,
    ! [X2: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X2)
      | p(X2) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f25,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f16,f22,f18]) ).

tff(f16,plain,
    ( ~ q(sK1)
    | ~ p(sK1) ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SYO895_9 : TPTP v8.2.0. Released v8.2.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.32  % Computer : n006.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon May 20 10:21:23 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a TF0_THM_NEQ_NAR problem
% 0.10/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.80  % (22882)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.80  % (22878)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 (2995ds/34Mi)
% 0.61/0.80  % (22880)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.80  % (22881)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.80  % (22879)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 (2995ds/51Mi)
% 0.61/0.80  % (22883)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.80  % (22884)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 (2995ds/83Mi)
% 0.61/0.80  % (22880)Also succeeded, but the first one will report.
% 0.61/0.80  % (22883)Also succeeded, but the first one will report.
% 0.61/0.80  % (22878)Also succeeded, but the first one will report.
% 0.61/0.80  % (22879)First to succeed.
% 0.61/0.80  % (22882)Also succeeded, but the first one will report.
% 0.61/0.80  % (22884)Also succeeded, but the first one will report.
% 0.61/0.80  % (22879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22877"
% 0.61/0.80  % (22881)Also succeeded, but the first one will report.
% 0.61/0.80  % (22879)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for theBenchmark
% 0.61/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.80  % (22879)------------------------------
% 0.61/0.80  % (22879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (22879)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (22879)Memory used [KB]: 967
% 0.61/0.80  % (22879)Time elapsed: 0.003 s
% 0.61/0.80  % (22879)Instructions burned: 2 (million)
% 0.61/0.80  % (22877)Success in time 0.473 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------