TSTP Solution File: NLP265_17 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP265_17 : 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 : n017.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 08:05:09 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   28 (   4 unt;  17 typ;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   17 (   6   ~;   2   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    8 (   8 fml;   0 var)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   12 (   8   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   2 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-1 aty)
%            Number of variables   :   15 (  13   !;   2   ?;  15   :)

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

tff(type_def_6,type,
    '$ki_index': $tType ).

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

tff(func_def_1,type,
    '#idx(b_alice)': '$ki_index' ).

tff(func_def_2,type,
    '#idx(b_bob)': '$ki_index' ).

tff(func_def_3,type,
    '#idx(i_bob)': '$ki_index' ).

tff(func_def_4,type,
    '#idx(i_alice)': '$ki_index' ).

tff(func_def_6,type,
    sK0: '$ki_world' ).

tff(func_def_7,type,
    sK1: '$ki_world' ).

tff(func_def_8,type,
    sK2: '$ki_world' > '$ki_world' ).

tff(func_def_9,type,
    sK3: '$ki_world' > '$ki_world' ).

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

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

tff(pred_def_3,type,
    sP4: ( '$ki_world' * '$ki_world' ) > $o ).

tff(pred_def_4,type,
    sP5: '$ki_world' > $o ).

tff(pred_def_5,type,
    sP6: '$ki_world' > $o ).

tff(pred_def_6,type,
    sP7: '$ki_world' > $o ).

tff(f39,plain,
    $false,
    inference(unit_resulting_resolution,[],[f30,f20,f23]) ).

tff(f23,plain,
    ! [X0: '$ki_world'] :
      ( ~ '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)
      | bigcity(X0,portland) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: '$ki_world'] :
      ( bigcity(X0,portland)
      | ~ '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)
     => bigcity(X0,portland) ),
    file('/export/starexec/sandbox/tmp/tmp.166SpeuVXu/Vampire---4.8_21346',axiom_2) ).

tff(f20,plain,
    ~ bigcity(sK1,portland),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ? [X0: '$ki_world'] :
      ( ? [X1: '$ki_world'] :
          ( ~ bigcity(X1,portland)
          & '$ki_accessible'('#idx(b_bob)',X0,X1) )
      & '$ki_accessible'('#idx(i_alice)','$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f11,plain,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('#idx(i_alice)','$ki_local_world',X0)
       => ! [X1: '$ki_world'] :
            ( '$ki_accessible'('#idx(b_bob)',X0,X1)
           => bigcity(X1,portland) ) ),
    inference(rectify,[],[f10]) ).

tff(f10,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('#idx(i_alice)','$ki_local_world',X0)
       => ! [X2: '$ki_world'] :
            ( '$ki_accessible'('#idx(b_bob)',X0,X2)
           => bigcity(X2,portland) ) ),
    inference(negated_conjecture,[],[f9]) ).

tff(f9,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('#idx(i_alice)','$ki_local_world',X0)
     => ! [X2: '$ki_world'] :
          ( '$ki_accessible'('#idx(b_bob)',X0,X2)
         => bigcity(X2,portland) ) ),
    file('/export/starexec/sandbox/tmp/tmp.166SpeuVXu/Vampire---4.8_21346',verify) ).

tff(f30,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_alice)',X0,X1),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_alice)',X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.166SpeuVXu/Vampire---4.8_21346','mrel_universal_#idx(b_alice)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : NLP265_17 : TPTP v8.2.0. Released v8.2.0.
% 0.08/0.15  % 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
% 0.14/0.36  % Computer : n017.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 12:19:21 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF0_THM_RFO_NEQ_NAR problem
% 0.14/0.36  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/tmp/tmp.166SpeuVXu/Vampire---4.8_21346
% 0.58/0.75  % (21601)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 (2996ds/83Mi)
% 0.58/0.75  % (21595)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 (2996ds/34Mi)
% 0.58/0.75  % (21601)First to succeed.
% 0.58/0.75  % (21597)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (21598)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (21599)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 (2996ds/34Mi)
% 0.58/0.75  % (21596)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 (2996ds/51Mi)
% 0.58/0.75  % (21600)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (21601)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21591"
% 0.58/0.75  % (21601)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (21601)------------------------------
% 0.58/0.75  % (21601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (21601)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (21601)Memory used [KB]: 964
% 0.58/0.75  % (21601)Time elapsed: 0.002 s
% 0.58/0.75  % (21601)Instructions burned: 3 (million)
% 0.58/0.75  % (21591)Success in time 0.387 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------