TSTP Solution File: SWV779_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV779_5 : TPTP v8.1.2. Released v6.0.0.
% 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 : n021.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 10:39:54 EDT 2024

% Result   : Theorem 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   48 (   7 unt;  37 typ;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   7   ~;   3   |;   1   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   39 (  22   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;   7 con; 0-5 aty)
%            Number of variables   :   37 (   9   !;   0   ?;  37   :)
%                                         (  28  !>;   0  ?*;   0  @-;   0  @+)

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

tff(type_def_6,type,
    bool: $tType ).

tff(type_def_7,type,
    list: $tType > $tType ).

tff(type_def_8,type,
    agent: $tType ).

tff(type_def_9,type,
    msg: $tType ).

tff(type_def_10,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(X1,fun(X0,X2)) ) ).

tff(func_def_2,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).

tff(func_def_3,type,
    gets: ( agent * msg ) > event ).

tff(func_def_4,type,
    initState: agent > fun(msg,bool) ).

tff(func_def_5,type,
    knows: ( agent * list(event) ) > fun(msg,bool) ).

tff(func_def_6,type,
    append: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_7,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_8,type,
    insert1: 
      !>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).

tff(func_def_9,type,
    cons: 
      !>[X0: $tType] : fun(X0,fun(list(X0),list(X0))) ).

tff(func_def_10,type,
    nil: 
      !>[X0: $tType] : list(X0) ).

tff(func_def_11,type,
    list_case: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).

tff(func_def_12,type,
    rev: 
      !>[X0: $tType] : ( list(X0) > list(X0) ) ).

tff(func_def_13,type,
    splice: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_14,type,
    spy: agent ).

tff(func_def_15,type,
    nS_Sha254967238shared: fun(list(event),bool) ).

tff(func_def_16,type,
    collect: 
      !>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).

tff(func_def_17,type,
    insert: 
      !>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > fun(X0,bool) ) ).

tff(func_def_18,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_19,type,
    fFalse: bool ).

tff(func_def_20,type,
    fNot: fun(bool,bool) ).

tff(func_def_21,type,
    fTrue: bool ).

tff(func_def_22,type,
    fdisj: fun(bool,fun(bool,bool)) ).

tff(func_def_23,type,
    fequal: 
      !>[X0: $tType] : fun(X0,fun(X0,bool)) ).

tff(func_def_24,type,
    fimplies: fun(bool,fun(bool,bool)) ).

tff(func_def_25,type,
    member: 
      !>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).

tff(pred_def_1,type,
    list_all: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_2,type,
    list_ex1: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_3,type,
    nS_Sha993195050haredp: list(event) > $o ).

tff(pred_def_4,type,
    ord_less_eq: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_5,type,
    pp: bool > $o ).

tff(f175,plain,
    $false,
    inference(trivial_inequality_removal,[],[f174]) ).

tff(f174,plain,
    knows(spy,nil(event)) != knows(spy,nil(event)),
    inference(backward_demodulation,[],[f143,f171]) ).

tff(f171,plain,
    ! [X0: $tType] : ( nil(X0) = rev(X0,nil(X0)) ),
    inference(equality_resolution,[],[f158]) ).

tff(f158,plain,
    ! [X0: $tType,X1: list(X0)] :
      ( ( nil(X0) = rev(X0,X1) )
      | ( nil(X0) != X1 ) ),
    inference(cnf_transformation,[],[f141]) ).

tff(f141,plain,
    ! [X0: $tType,X1: list(X0)] :
      ( ( ( nil(X0) = rev(X0,X1) )
        | ( nil(X0) != X1 ) )
      & ( ( nil(X0) = X1 )
        | ( nil(X0) != rev(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f127]) ).

tff(f127,plain,
    ! [X0: $tType,X1: list(X0)] :
      ( ( nil(X0) = rev(X0,X1) )
    <=> ( nil(X0) = X1 ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ! [X2: $tType,X4: list(X2)] :
      ( ( nil(X2) = rev(X2,X4) )
    <=> ( nil(X2) = X4 ) ),
    file('/export/starexec/sandbox/tmp/tmp.xbejJdieuk/Vampire---4.8_32706',fact_2_rev__is__Nil__conv) ).

tff(f143,plain,
    knows(spy,nil(event)) != knows(spy,rev(event,nil(event))),
    inference(cnf_transformation,[],[f118]) ).

tff(f118,plain,
    knows(spy,nil(event)) != knows(spy,rev(event,nil(event))),
    inference(flattening,[],[f117]) ).

tff(f117,negated_conjecture,
    ( ~ knows(spy,nil(event)) = knows(spy,rev(event,nil(event))) ),
    inference(negated_conjecture,[],[f116]) ).

tff(f116,conjecture,
    knows(spy,nil(event)) = knows(spy,rev(event,nil(event))),
    file('/export/starexec/sandbox/tmp/tmp.xbejJdieuk/Vampire---4.8_32706',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV779_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.15  % 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 : n021.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 21:08:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF1_THM_EQU_NAR problem
% 0.14/0.37  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.xbejJdieuk/Vampire---4.8_32706
% 0.60/0.76  % (347)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)
% 0.60/0.76  % (348)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)
% 0.60/0.76  % (349)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77  % (350)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)
% 0.60/0.77  % (351)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)
% 0.60/0.77  % (354)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 (2996ds/56Mi)
% 0.60/0.77  % (352)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)
% 0.60/0.77  % (353)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)
% 0.60/0.77  % (350)First to succeed.
% 0.60/0.77  % (353)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.77  % (350)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-346"
% 0.60/0.77  % (350)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Theorem for Vampire---4
% 0.60/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77  % (350)------------------------------
% 0.60/0.77  % (350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (350)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (350)Memory used [KB]: 1115
% 0.60/0.77  % (350)Time elapsed: 0.004 s
% 0.60/0.77  % (350)Instructions burned: 5 (million)
% 0.60/0.77  % (346)Success in time 0.398 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------