TSTP Solution File: NLP267_17 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NLP267_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 : n012.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 08:05:12 EDT 2024

% Result   : Theorem 0.65s 0.80s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   32 (   7 unt;  10 typ;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   49 (  21   ~;  15   |;   7   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   31 (  31 fml;   0 var)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :    9 (   4   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   21 (  19   !;   2   ?;  21   :)

% 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_s)': '$ki_index' ).

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

tff(func_def_8,type,
    sK0: '$ki_world' ).

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

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

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

tff(pred_def_4,type,
    class: ( '$ki_world' * $i ) > $o ).

tff(f48,plain,
    $false,
    inference(resolution,[],[f47,f29]) ).

tff(f29,plain,
    ~ price(sK0,seventy),
    inference(cnf_transformation,[],[f27]) ).

tff(f27,plain,
    ( ~ price(sK0,seventy)
    & '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f26]) ).

tff(f26,plain,
    ( ? [X0: '$ki_world'] :
        ( ~ price(X0,seventy)
        & '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) )
   => ( ~ price(sK0,seventy)
      & '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f12,plain,
    ? [X0: '$ki_world'] :
      ( ~ price(X0,seventy)
      & '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f11,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
       => price(X0,seventy) ),
    inference(negated_conjecture,[],[f10]) ).

tff(f10,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
     => price(X0,seventy) ),
    file('/export/starexec/sandbox/tmp/tmp.FjopG1r5tg/Vampire---4.8_23694',verify) ).

tff(f47,plain,
    ! [X0: '$ki_world'] : price(X0,seventy),
    inference(subsumption_resolution,[],[f46,f38]) ).

tff(f38,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.FjopG1r5tg/Vampire---4.8_23694','mrel_universal_#idx(b_s)') ).

tff(f46,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(subsumption_resolution,[],[f45,f39]) ).

tff(f39,plain,
    ! [X0: '$ki_world'] : dest(X0,paris),
    inference(subsumption_resolution,[],[f30,f38]) ).

tff(f30,plain,
    ! [X0: '$ki_world'] :
      ( dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: '$ki_world'] :
      ( ( class(X0,second)
        & dest(X0,paris) )
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f9,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
     => ( class(X0,second)
        & dest(X0,paris) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FjopG1r5tg/Vampire---4.8_23694',axiom_5) ).

tff(f45,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(subsumption_resolution,[],[f36,f40]) ).

tff(f40,plain,
    ! [X0: '$ki_world'] : class(X0,second),
    inference(subsumption_resolution,[],[f31,f38]) ).

tff(f31,plain,
    ! [X0: '$ki_world'] :
      ( class(X0,second)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f36,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(flattening,[],[f22]) ).

tff(f22,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f4,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
     => ( ( class(X0,second)
          & dest(X0,paris) )
       => price(X0,seventy) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FjopG1r5tg/Vampire---4.8_23694',axiom_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.15  % 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
% 0.15/0.37  % Computer : n012.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 12:29:10 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TF0_THM_RFO_NEQ_NAR problem
% 0.15/0.37  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.FjopG1r5tg/Vampire---4.8_23694
% 0.65/0.80  % (23807)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)
% 0.65/0.80  % (23807)Refutation not found, incomplete strategy% (23807)------------------------------
% 0.65/0.80  % (23807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (23807)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80  
% 0.65/0.80  % (23807)Memory used [KB]: 944
% 0.65/0.80  % (23807)Time elapsed: 0.001 s
% 0.65/0.80  % (23807)Instructions burned: 2 (million)
% 0.65/0.80  % (23807)------------------------------
% 0.65/0.80  % (23807)------------------------------
% 0.65/0.80  % (23802)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)
% 0.65/0.80  % (23804)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.80  % (23804)Also succeeded, but the first one will report.
% 0.65/0.80  % (23802)First to succeed.
% 0.65/0.80  % (23802)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23801"
% 0.65/0.80  % (23806)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)
% 0.65/0.80  % (23809)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)
% 0.65/0.80  % (23802)Refutation found. Thanks to Tanya!
% 0.65/0.80  % SZS status Theorem for Vampire---4
% 0.65/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.80  % (23802)------------------------------
% 0.65/0.80  % (23802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (23802)Termination reason: Refutation
% 0.65/0.80  
% 0.65/0.80  % (23802)Memory used [KB]: 962
% 0.65/0.80  % (23802)Time elapsed: 0.003 s
% 0.65/0.80  % (23802)Instructions burned: 3 (million)
% 0.65/0.80  % (23801)Success in time 0.427 s
% 0.65/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------