TSTP Solution File: MGT041+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT041+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 07:56:48 EDT 2024

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (   9 unt;   0 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  136 (  64   ~;  46   |;  21   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   43 (  35   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f39,f41]) ).

fof(f41,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f40]) ).

fof(f40,plain,
    ( $false
    | ~ spl2_1 ),
    inference(resolution,[],[f31,f17]) ).

fof(f17,plain,
    organisation_at_time(sK0,sK1),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( ~ has_elaborated_routines(sK0,sK1)
    & number_of_routines(sK0,sK1,high)
    & founding_time(sK0,sK1)
    & organisation_at_time(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f13]) ).

fof(f13,plain,
    ( ? [X0,X1] :
        ( ~ has_elaborated_routines(X0,X1)
        & number_of_routines(X0,X1,high)
        & founding_time(X0,X1)
        & organisation_at_time(X0,X1) )
   => ( ~ has_elaborated_routines(sK0,sK1)
      & number_of_routines(sK0,sK1,high)
      & founding_time(sK0,sK1)
      & organisation_at_time(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,axiom,
    ? [X0,X1] :
      ( ~ has_elaborated_routines(X0,X1)
      & number_of_routines(X0,X1,high)
      & founding_time(X0,X1)
      & organisation_at_time(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.KH8D0OWJHQ/Vampire---4.8_25500',a16) ).

fof(f31,plain,
    ( ! [X1] : ~ organisation_at_time(sK0,X1)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl2_1
  <=> ! [X1] : ~ organisation_at_time(sK0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f39,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f38]) ).

fof(f38,plain,
    ( $false
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f37,f17]) ).

fof(f37,plain,
    ( ~ organisation_at_time(sK0,sK1)
    | ~ spl2_2 ),
    inference(subsumption_resolution,[],[f36,f23]) ).

fof(f23,plain,
    ~ number_of_routines(sK0,sK1,low),
    inference(resolution,[],[f19,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ number_of_routines(X0,X1,high)
      | ~ number_of_routines(X0,X1,low) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ number_of_routines(X0,X1,high)
      | ~ number_of_routines(X0,X1,low) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ~ ( number_of_routines(X0,X1,high)
        & number_of_routines(X0,X1,low) ),
    file('/export/starexec/sandbox2/tmp/tmp.KH8D0OWJHQ/Vampire---4.8_25500',mp_not_high_and_low) ).

fof(f19,plain,
    number_of_routines(sK0,sK1,high),
    inference(cnf_transformation,[],[f14]) ).

fof(f36,plain,
    ( number_of_routines(sK0,sK1,low)
    | ~ organisation_at_time(sK0,sK1)
    | ~ spl2_2 ),
    inference(resolution,[],[f34,f18]) ).

fof(f18,plain,
    founding_time(sK0,sK1),
    inference(cnf_transformation,[],[f14]) ).

fof(f34,plain,
    ( ! [X0] :
        ( ~ founding_time(sK0,X0)
        | number_of_routines(sK0,X0,low)
        | ~ organisation_at_time(sK0,X0) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl2_2
  <=> ! [X0] :
        ( number_of_routines(sK0,X0,low)
        | ~ founding_time(sK0,X0)
        | ~ organisation_at_time(sK0,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f35,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f28,f33,f30]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( number_of_routines(sK0,X0,low)
      | ~ organisation_at_time(sK0,X0)
      | ~ founding_time(sK0,X0)
      | ~ organisation_at_time(sK0,X1) ),
    inference(resolution,[],[f27,f26]) ).

fof(f26,plain,
    ~ efficient_producer(sK0),
    inference(subsumption_resolution,[],[f25,f17]) ).

fof(f25,plain,
    ( ~ efficient_producer(sK0)
    | ~ organisation_at_time(sK0,sK1) ),
    inference(subsumption_resolution,[],[f24,f18]) ).

fof(f24,plain,
    ( ~ founding_time(sK0,sK1)
    | ~ efficient_producer(sK0)
    | ~ organisation_at_time(sK0,sK1) ),
    inference(resolution,[],[f15,f20]) ).

fof(f20,plain,
    ~ has_elaborated_routines(sK0,sK1),
    inference(cnf_transformation,[],[f14]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( has_elaborated_routines(X0,X1)
      | ~ founding_time(X0,X1)
      | ~ efficient_producer(X0)
      | ~ organisation_at_time(X0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( has_elaborated_routines(X0,X1)
      | ~ founding_time(X0,X1)
      | ~ efficient_producer(X0)
      | ~ organisation_at_time(X0,X1) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( has_elaborated_routines(X0,X1)
      | ~ founding_time(X0,X1)
      | ~ efficient_producer(X0)
      | ~ organisation_at_time(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ( founding_time(X0,X1)
        & efficient_producer(X0)
        & organisation_at_time(X0,X1) )
     => has_elaborated_routines(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.KH8D0OWJHQ/Vampire---4.8_25500',a14) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( efficient_producer(X0)
      | number_of_routines(X0,X1,low)
      | ~ organisation_at_time(X0,X1)
      | ~ founding_time(X0,X1)
      | ~ organisation_at_time(X0,X2) ),
    inference(resolution,[],[f16,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( first_mover(X0)
      | efficient_producer(X0)
      | ~ organisation_at_time(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( efficient_producer(X0)
      | first_mover(X0)
      | ~ organisation_at_time(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ? [X0,X1] :
        ( ~ efficient_producer(X0)
        & ~ first_mover(X0)
        & organisation_at_time(X0,X1) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ? [X0,X1] :
      ( ~ efficient_producer(X0)
      & ~ first_mover(X0)
      & organisation_at_time(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.KH8D0OWJHQ/Vampire---4.8_25500',prove_t10) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ first_mover(X0)
      | ~ founding_time(X0,X1)
      | number_of_routines(X0,X1,low)
      | ~ organisation_at_time(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( number_of_routines(X0,X1,low)
      | ~ founding_time(X0,X1)
      | ~ first_mover(X0)
      | ~ organisation_at_time(X0,X1) ),
    inference(flattening,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( number_of_routines(X0,X1,low)
      | ~ founding_time(X0,X1)
      | ~ first_mover(X0)
      | ~ organisation_at_time(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ( founding_time(X0,X1)
        & first_mover(X0)
        & organisation_at_time(X0,X1) )
     => number_of_routines(X0,X1,low) ),
    file('/export/starexec/sandbox2/tmp/tmp.KH8D0OWJHQ/Vampire---4.8_25500',a15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT041+2 : TPTP v8.1.2. Released v2.0.0.
% 0.15/0.15  % 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
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:03:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36  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.KH8D0OWJHQ/Vampire---4.8_25500
% 0.58/0.74  % (25857)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)
% 0.58/0.74  % (25850)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)
% 0.58/0.74  % (25857)First to succeed.
% 0.58/0.74  % (25852)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74  % (25853)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)
% 0.58/0.74  % (25851)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)
% 0.58/0.74  % (25854)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)
% 0.58/0.74  % (25855)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)
% 0.58/0.74  % (25856)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)
% 0.58/0.74  % (25857)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25694"
% 0.58/0.74  % (25857)Refutation found. Thanks to Tanya!
% 0.58/0.74  % SZS status Theorem for Vampire---4
% 0.58/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74  % (25857)------------------------------
% 0.58/0.74  % (25857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74  % (25857)Termination reason: Refutation
% 0.58/0.74  
% 0.58/0.74  % (25857)Memory used [KB]: 972
% 0.58/0.74  % (25857)Time elapsed: 0.002 s
% 0.58/0.74  % (25857)Instructions burned: 3 (million)
% 0.58/0.74  % (25694)Success in time 0.378 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------