TSTP Solution File: DAT334_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT334_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.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 05:05:21 EDT 2024

% Result   : Theorem 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   25 (   4 unt;   8 typ;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   54 (  19   ~;  10   |;  20   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   31 (  31 fml;   0 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    9 (   5   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   9 usr;   7 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   20 (  13   !;   7   ?;  11   :)

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

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

tff(func_def_7,type,
    sK0: '$ki_world' > $i ).

tff(func_def_8,type,
    sK1: '$ki_world' > $i ).

tff(func_def_9,type,
    sK2: '$ki_world' ).

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

tff(pred_def_2,type,
    teach: ( '$ki_world' * $i * $i ) > $o ).

tff(pred_def_3,type,
    '$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).

tff(f31,plain,
    $false,
    inference(subsumption_resolution,[],[f30,f21]) ).

tff(f21,plain,
    '$ki_accessible'('$ki_local_world',sK2),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ( ! [X1] :
        ( ~ teach(sK2,X1,cs)
        | ~ '$ki_exists_in_world_$i'(sK2,X1) )
    & '$ki_accessible'('$ki_local_world',sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f7,f12]) ).

tff(f12,plain,
    ( ? [X0: '$ki_world'] :
        ( ! [X1] :
            ( ~ teach(X0,X1,cs)
            | ~ '$ki_exists_in_world_$i'(X0,X1) )
        & '$ki_accessible'('$ki_local_world',X0) )
   => ( ! [X1] :
          ( ~ teach(sK2,X1,cs)
          | ~ '$ki_exists_in_world_$i'(sK2,X1) )
      & '$ki_accessible'('$ki_local_world',sK2) ) ),
    introduced(choice_axiom,[]) ).

tff(f7,plain,
    ? [X0: '$ki_world'] :
      ( ! [X1] :
          ( ~ teach(X0,X1,cs)
          | ~ '$ki_exists_in_world_$i'(X0,X1) )
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => ? [X1] :
            ( teach(X0,X1,cs)
            & '$ki_exists_in_world_$i'(X0,X1) ) ),
    inference(negated_conjecture,[],[f4]) ).

tff(f4,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ? [X1] :
          ( teach(X0,X1,cs)
          & '$ki_exists_in_world_$i'(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6nWutS6tEb/Vampire---4.8_9303',verify) ).

tff(f30,plain,
    ~ '$ki_accessible'('$ki_local_world',sK2),
    inference(resolution,[],[f29,f17]) ).

tff(f17,plain,
    ! [X0: '$ki_world'] :
      ( '$ki_exists_in_world_$i'(X0,sK1(X0))
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0: '$ki_world'] :
      ( ( teach(X0,sue,psych)
        & teach(X0,mary,psych)
        & teach(X0,sK1(X0),cs)
        & '$ki_exists_in_world_$i'(X0,sK1(X0))
        & teach(X0,john,math) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f6,f10]) ).

tff(f10,plain,
    ! [X0: '$ki_world'] :
      ( ? [X1] :
          ( teach(X0,X1,cs)
          & '$ki_exists_in_world_$i'(X0,X1) )
     => ( teach(X0,sK1(X0),cs)
        & '$ki_exists_in_world_$i'(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f6,plain,
    ! [X0: '$ki_world'] :
      ( ( teach(X0,sue,psych)
        & teach(X0,mary,psych)
        & ? [X1] :
            ( teach(X0,X1,cs)
            & '$ki_exists_in_world_$i'(X0,X1) )
        & teach(X0,john,math) )
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ( teach(X0,sue,psych)
        & teach(X0,mary,psych)
        & ? [X1] :
            ( teach(X0,X1,cs)
            & '$ki_exists_in_world_$i'(X0,X1) )
        & teach(X0,john,math) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.6nWutS6tEb/Vampire---4.8_9303',db) ).

tff(f29,plain,
    ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2)),
    inference(subsumption_resolution,[],[f28,f21]) ).

tff(f28,plain,
    ( ~ '$ki_exists_in_world_$i'(sK2,sK1(sK2))
    | ~ '$ki_accessible'('$ki_local_world',sK2) ),
    inference(resolution,[],[f22,f18]) ).

tff(f18,plain,
    ! [X0: '$ki_world'] :
      ( teach(X0,sK1(X0),cs)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f22,plain,
    ! [X1: $i] :
      ( ~ teach(sK2,X1,cs)
      | ~ '$ki_exists_in_world_$i'(sK2,X1) ),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : DAT334_8 : TPTP v8.2.0. Released v8.2.0.
% 0.02/0.12  % 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
% 0.10/0.32  % Computer : n019.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   : Fri May  3 12:56:59 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a TF0_THM_RFO_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.6nWutS6tEb/Vampire---4.8_9303
% 0.59/0.79  % (9411)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 (2995ds/34Mi)
% 0.59/0.79  % (9412)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 (2995ds/51Mi)
% 0.59/0.79  % (9413)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79  % (9414)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.79  % (9415)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 (2995ds/34Mi)
% 0.59/0.79  % (9416)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.79  % (9417)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 (2995ds/83Mi)
% 0.59/0.79  % (9418)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 (2995ds/56Mi)
% 0.59/0.79  % (9414)Refutation not found, incomplete strategy% (9414)------------------------------
% 0.59/0.79  % (9414)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (9414)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (9414)Memory used [KB]: 943
% 0.59/0.79  % (9418)Refutation not found, incomplete strategy% (9418)------------------------------
% 0.59/0.79  % (9418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (9418)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (9418)Memory used [KB]: 943
% 0.59/0.79  % (9418)Time elapsed: 0.002 s
% 0.59/0.79  % (9418)Instructions burned: 2 (million)
% 0.59/0.79  % (9414)Time elapsed: 0.002 s
% 0.59/0.79  % (9414)Instructions burned: 2 (million)
% 0.59/0.79  % (9416)Refutation not found, incomplete strategy% (9416)------------------------------
% 0.59/0.79  % (9416)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (9416)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (9416)Memory used [KB]: 943
% 0.59/0.79  % (9416)Time elapsed: 0.002 s
% 0.59/0.79  % (9416)Instructions burned: 2 (million)
% 0.59/0.79  % (9418)------------------------------
% 0.59/0.79  % (9418)------------------------------
% 0.59/0.79  % (9411)Also succeeded, but the first one will report.
% 0.59/0.79  % (9416)------------------------------
% 0.59/0.79  % (9416)------------------------------
% 0.59/0.79  % (9413)Also succeeded, but the first one will report.
% 0.59/0.79  % (9414)------------------------------
% 0.59/0.79  % (9414)------------------------------
% 0.59/0.79  % (9415)First to succeed.
% 0.59/0.79  % (9412)Also succeeded, but the first one will report.
% 0.59/0.79  % (9415)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9410"
% 0.59/0.79  % (9417)Refutation not found, incomplete strategy% (9417)------------------------------
% 0.59/0.79  % (9417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (9417)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (9417)Memory used [KB]: 943
% 0.59/0.79  % (9417)Time elapsed: 0.003 s
% 0.59/0.79  % (9417)Instructions burned: 2 (million)
% 0.59/0.79  % (9417)------------------------------
% 0.59/0.79  % (9417)------------------------------
% 0.59/0.79  % (9415)Refutation found. Thanks to Tanya!
% 0.59/0.79  % SZS status Theorem for Vampire---4
% 0.59/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79  % (9415)------------------------------
% 0.59/0.79  % (9415)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (9415)Termination reason: Refutation
% 0.59/0.79  
% 0.59/0.79  % (9415)Memory used [KB]: 962
% 0.59/0.79  % (9415)Time elapsed: 0.003 s
% 0.59/0.79  % (9415)Instructions burned: 2 (million)
% 0.59/0.79  % (9410)Success in time 0.467 s
% 0.59/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------