TSTP Solution File: SYO902_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO902_8 : 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 : n022.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 09:09:38 EDT 2024

% Result   : Theorem 0.58s 0.73s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (   5 unt;   6 typ;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   85 (  30   ~;  20   |;  27   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   3   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   45 (  25   !;  20   ?;  45   :)

% 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' ).

tff(func_def_2,type,
    sK1: '$ki_world' > '$ki_world' ).

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

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

tff(f25,plain,
    $false,
    inference(subsumption_resolution,[],[f22,f14]) ).

tff(f14,plain,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: '$ki_world'] : '$ki_accessible'(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).

tff(f22,plain,
    ~ '$ki_accessible'(sK0,sK0),
    inference(resolution,[],[f21,f10]) ).

tff(f10,plain,
    '$ki_accessible'('$ki_local_world',sK0),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ p(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    & ! [X3: '$ki_world'] :
        ( ( p(sK1(X3))
          & '$ki_accessible'(X3,sK1(X3)) )
        | ~ '$ki_accessible'(sK0,X3) )
    & '$ki_accessible'('$ki_local_world',sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).

tff(f7,plain,
    ( ? [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ? [X4: '$ki_world'] :
                ( p(X4)
                & '$ki_accessible'(X3,X4) )
            | ~ '$ki_accessible'(X2,X3) )
        & '$ki_accessible'('$ki_local_world',X2) )
   => ( ! [X3: '$ki_world'] :
          ( ? [X4: '$ki_world'] :
              ( p(X4)
              & '$ki_accessible'(X3,X4) )
          | ~ '$ki_accessible'(sK0,X3) )
      & '$ki_accessible'('$ki_local_world',sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f8,plain,
    ! [X3: '$ki_world'] :
      ( ? [X4: '$ki_world'] :
          ( p(X4)
          & '$ki_accessible'(X3,X4) )
     => ( p(sK1(X3))
        & '$ki_accessible'(X3,sK1(X3)) ) ),
    introduced(choice_axiom,[]) ).

tff(f6,plain,
    ( ! [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ~ p(X1)
            | ~ '$ki_accessible'(X0,X1) )
        | ~ '$ki_accessible'('$ki_local_world',X0) )
    & ? [X2: '$ki_world'] :
        ( ! [X3: '$ki_world'] :
            ( ? [X4: '$ki_world'] :
                ( p(X4)
                & '$ki_accessible'(X3,X4) )
            | ~ '$ki_accessible'(X2,X3) )
        & '$ki_accessible'('$ki_local_world',X2) ) ),
    inference(rectify,[],[f5]) ).

tff(f5,plain,
    ( ! [X3: '$ki_world'] :
        ( ! [X4: '$ki_world'] :
            ( ~ p(X4)
            | ~ '$ki_accessible'(X3,X4) )
        | ~ '$ki_accessible'('$ki_local_world',X3) )
    & ? [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( ? [X2: '$ki_world'] :
                ( p(X2)
                & '$ki_accessible'(X1,X2) )
            | ~ '$ki_accessible'(X0,X1) )
        & '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f4,plain,
    ~ ( ? [X0: '$ki_world'] :
          ( ! [X1: '$ki_world'] :
              ( '$ki_accessible'(X0,X1)
             => ? [X2: '$ki_world'] :
                  ( p(X2)
                  & '$ki_accessible'(X1,X2) ) )
          & '$ki_accessible'('$ki_local_world',X0) )
     => ? [X3: '$ki_world'] :
          ( ? [X4: '$ki_world'] :
              ( p(X4)
              & '$ki_accessible'(X3,X4) )
          & '$ki_accessible'('$ki_local_world',X3) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,negated_conjecture,
    ~ ( ? [X0: '$ki_world'] :
          ( ! [X1: '$ki_world'] :
              ( '$ki_accessible'(X0,X1)
             => ? [X2: '$ki_world'] :
                  ( p(X2)
                  & '$ki_accessible'(X1,X2) ) )
          & '$ki_accessible'('$ki_local_world',X0) )
     => ? [X0: '$ki_world'] :
          ( ? [X1: '$ki_world'] :
              ( p(X1)
              & '$ki_accessible'(X0,X1) )
          & '$ki_accessible'('$ki_local_world',X0) ) ),
    inference(negated_conjecture,[],[f2]) ).

tff(f2,conjecture,
    ( ? [X0: '$ki_world'] :
        ( ! [X1: '$ki_world'] :
            ( '$ki_accessible'(X0,X1)
           => ? [X2: '$ki_world'] :
                ( p(X2)
                & '$ki_accessible'(X1,X2) ) )
        & '$ki_accessible'('$ki_local_world',X0) )
   => ? [X0: '$ki_world'] :
        ( ? [X1: '$ki_world'] :
            ( p(X1)
            & '$ki_accessible'(X0,X1) )
        & '$ki_accessible'('$ki_local_world',X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).

tff(f21,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ '$ki_accessible'(sK0,X0) ),
    inference(duplicate_literal_removal,[],[f16]) ).

tff(f16,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ '$ki_accessible'(sK0,X0)
      | ~ '$ki_accessible'(sK0,X0) ),
    inference(resolution,[],[f15,f11]) ).

tff(f11,plain,
    ! [X3: '$ki_world'] :
      ( '$ki_accessible'(X3,sK1(X3))
      | ~ '$ki_accessible'(sK0,X3) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f15,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ '$ki_accessible'(X0,sK1(X1))
      | ~ '$ki_accessible'('$ki_local_world',X0)
      | ~ '$ki_accessible'(sK0,X1) ),
    inference(resolution,[],[f13,f12]) ).

tff(f12,plain,
    ! [X3: '$ki_world'] :
      ( p(sK1(X3))
      | ~ '$ki_accessible'(sK0,X3) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f13,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] :
      ( ~ p(X1)
      | ~ '$ki_accessible'(X0,X1)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO902_8 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14  % 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
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon May 20 11:01:52 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF0_THM_NEQ_NAR problem
% 0.14/0.35  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
% 0.58/0.73  % (12660)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)
% 0.58/0.73  % (12660)First to succeed.
% 0.58/0.73  % (12656)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)
% 0.58/0.73  % (12654)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)
% 0.58/0.73  % (12660)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12652"
% 0.58/0.73  % (12660)Refutation found. Thanks to Tanya!
% 0.58/0.73  % SZS status Theorem for theBenchmark
% 0.58/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.58/0.73  % (12660)------------------------------
% 0.58/0.73  % (12660)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (12660)Termination reason: Refutation
% 0.58/0.73  
% 0.58/0.73  % (12660)Memory used [KB]: 972
% 0.58/0.73  % (12660)Time elapsed: 0.002 s
% 0.58/0.73  % (12660)Instructions burned: 3 (million)
% 0.58/0.73  % (12652)Success in time 0.377 s
% 0.58/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------