TSTP Solution File: MGT006+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT006+1 : 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/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 : Wed May  1 03:21:45 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   49 (  15 unt;   0 def)
%            Number of atoms       :  250 (   0 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :  297 (  96   ~;  89   |;  96   &)
%                                         (   6 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  160 ( 136   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f52,f84]) ).

fof(f84,plain,
    spl8_2,
    inference(avatar_contradiction_clause,[],[f83]) ).

fof(f83,plain,
    ( $false
    | spl8_2 ),
    inference(subsumption_resolution,[],[f56,f43]) ).

fof(f43,plain,
    ( ~ greater(sK4,sK3)
    | spl8_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl8_2
  <=> greater(sK4,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f56,plain,
    greater(sK4,sK3),
    inference(unit_resulting_resolution,[],[f26,f27,f29,f30,f31,f32,f45,f46,f48,f23]) ).

fof(f23,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( greater(X7,X6)
      | ~ greater(X9,X8)
      | ~ reproducibility(X1,X9,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ accountability(X1,X7,X3)
      | ~ accountability(X0,X6,X2)
      | ~ reliability(X1,X5,X3)
      | ~ reliability(X0,X4,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ( greater(X9,X8)
          | ~ greater(X7,X6)
          | ~ greater(X5,X4) )
        & ( ( greater(X7,X6)
            & greater(X5,X4) )
          | ~ greater(X9,X8) ) )
      | ~ reproducibility(X1,X9,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ accountability(X1,X7,X3)
      | ~ accountability(X0,X6,X2)
      | ~ reliability(X1,X5,X3)
      | ~ reliability(X0,X4,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ( greater(X9,X8)
          | ~ greater(X7,X6)
          | ~ greater(X5,X4) )
        & ( ( greater(X7,X6)
            & greater(X5,X4) )
          | ~ greater(X9,X8) ) )
      | ~ reproducibility(X1,X9,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ accountability(X1,X7,X3)
      | ~ accountability(X0,X6,X2)
      | ~ reliability(X1,X5,X3)
      | ~ reliability(X0,X4,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X9,X8)
      <=> ( greater(X7,X6)
          & greater(X5,X4) ) )
      | ~ reproducibility(X1,X9,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ accountability(X1,X7,X3)
      | ~ accountability(X0,X6,X2)
      | ~ reliability(X1,X5,X3)
      | ~ reliability(X0,X4,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2) ),
    inference(flattening,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X9,X8)
      <=> ( greater(X7,X6)
          & greater(X5,X4) ) )
      | ~ reproducibility(X1,X9,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ accountability(X1,X7,X3)
      | ~ accountability(X0,X6,X2)
      | ~ reliability(X1,X5,X3)
      | ~ reliability(X0,X4,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( reproducibility(X1,X9,X3)
        & reproducibility(X0,X8,X2)
        & accountability(X1,X7,X3)
        & accountability(X0,X6,X2)
        & reliability(X1,X5,X3)
        & reliability(X0,X4,X2)
        & organization(X1,X3)
        & organization(X0,X2) )
     => ( greater(X9,X8)
      <=> ( greater(X7,X6)
          & greater(X5,X4) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( reproducibility(X3,X11,X5)
        & reproducibility(X0,X10,X4)
        & accountability(X3,X9,X5)
        & accountability(X0,X8,X4)
        & reliability(X3,X7,X5)
        & reliability(X0,X6,X4)
        & organization(X3,X5)
        & organization(X0,X4) )
     => ( greater(X11,X10)
      <=> ( greater(X9,X8)
          & greater(X7,X6) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.fTIgyCdL6k/Vampire---4.8_29861',a2_FOL) ).

fof(f48,plain,
    greater(sK7(sK0,sK6),sK7(sK0,sK5)),
    inference(unit_resulting_resolution,[],[f26,f27,f33,f45,f28,f46,f25]) ).

fof(f25,plain,
    ! [X2,X3,X0,X1,X4] :
      ( greater(X2,X1)
      | ~ greater(X4,X3)
      | ~ reproducibility(X0,X2,X4)
      | ~ reproducibility(X0,X1,X3)
      | ~ reorganization_free(X0,X3,X4)
      | ~ organization(X0,X4)
      | ~ organization(X0,X3) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3,X4] :
      ( greater(X2,X1)
      | ~ greater(X4,X3)
      | ~ reproducibility(X0,X2,X4)
      | ~ reproducibility(X0,X1,X3)
      | ~ reorganization_free(X0,X3,X4)
      | ~ organization(X0,X4)
      | ~ organization(X0,X3) ),
    inference(flattening,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3,X4] :
      ( greater(X2,X1)
      | ~ greater(X4,X3)
      | ~ reproducibility(X0,X2,X4)
      | ~ reproducibility(X0,X1,X3)
      | ~ reorganization_free(X0,X3,X4)
      | ~ organization(X0,X4)
      | ~ organization(X0,X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( greater(X4,X3)
        & reproducibility(X0,X2,X4)
        & reproducibility(X0,X1,X3)
        & reorganization_free(X0,X3,X4)
        & organization(X0,X4)
        & organization(X0,X3) )
     => greater(X2,X1) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X10,X11,X4,X5] :
      ( ( greater(X5,X4)
        & reproducibility(X0,X11,X5)
        & reproducibility(X0,X10,X4)
        & reorganization_free(X0,X4,X5)
        & organization(X0,X5)
        & organization(X0,X4) )
     => greater(X11,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.fTIgyCdL6k/Vampire---4.8_29861',a4_FOL) ).

fof(f28,plain,
    reorganization_free(sK0,sK5,sK6),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( ( ~ greater(sK4,sK3)
      | ~ greater(sK2,sK1) )
    & greater(sK6,sK5)
    & accountability(sK0,sK4,sK6)
    & accountability(sK0,sK3,sK5)
    & reliability(sK0,sK2,sK6)
    & reliability(sK0,sK1,sK5)
    & reorganization_free(sK0,sK5,sK6)
    & organization(sK0,sK6)
    & organization(sK0,sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f14,f18]) ).

fof(f18,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6] :
        ( ( ~ greater(X4,X3)
          | ~ greater(X2,X1) )
        & greater(X6,X5)
        & accountability(X0,X4,X6)
        & accountability(X0,X3,X5)
        & reliability(X0,X2,X6)
        & reliability(X0,X1,X5)
        & reorganization_free(X0,X5,X6)
        & organization(X0,X6)
        & organization(X0,X5) )
   => ( ( ~ greater(sK4,sK3)
        | ~ greater(sK2,sK1) )
      & greater(sK6,sK5)
      & accountability(sK0,sK4,sK6)
      & accountability(sK0,sK3,sK5)
      & reliability(sK0,sK2,sK6)
      & reliability(sK0,sK1,sK5)
      & reorganization_free(sK0,sK5,sK6)
      & organization(sK0,sK6)
      & organization(sK0,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ~ greater(X4,X3)
        | ~ greater(X2,X1) )
      & greater(X6,X5)
      & accountability(X0,X4,X6)
      & accountability(X0,X3,X5)
      & reliability(X0,X2,X6)
      & reliability(X0,X1,X5)
      & reorganization_free(X0,X5,X6)
      & organization(X0,X6)
      & organization(X0,X5) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ~ greater(X4,X3)
        | ~ greater(X2,X1) )
      & greater(X6,X5)
      & accountability(X0,X4,X6)
      & accountability(X0,X3,X5)
      & reliability(X0,X2,X6)
      & reliability(X0,X1,X5)
      & reorganization_free(X0,X5,X6)
      & organization(X0,X6)
      & organization(X0,X5) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( greater(X6,X5)
          & accountability(X0,X4,X6)
          & accountability(X0,X3,X5)
          & reliability(X0,X2,X6)
          & reliability(X0,X1,X5)
          & reorganization_free(X0,X5,X6)
          & organization(X0,X6)
          & organization(X0,X5) )
       => ( greater(X4,X3)
          & greater(X2,X1) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0,X6,X7,X8,X9,X4,X5] :
        ( ( greater(X5,X4)
          & accountability(X0,X9,X5)
          & accountability(X0,X8,X4)
          & reliability(X0,X7,X5)
          & reliability(X0,X6,X4)
          & reorganization_free(X0,X4,X5)
          & organization(X0,X5)
          & organization(X0,X4) )
       => ( greater(X9,X8)
          & greater(X7,X6) ) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0,X6,X7,X8,X9,X4,X5] :
      ( ( greater(X5,X4)
        & accountability(X0,X9,X5)
        & accountability(X0,X8,X4)
        & reliability(X0,X7,X5)
        & reliability(X0,X6,X4)
        & reorganization_free(X0,X4,X5)
        & organization(X0,X5)
        & organization(X0,X4) )
     => ( greater(X9,X8)
        & greater(X7,X6) ) ),
    file('/export/starexec/sandbox/tmp/tmp.fTIgyCdL6k/Vampire---4.8_29861',t6_FOL) ).

fof(f33,plain,
    greater(sK6,sK5),
    inference(cnf_transformation,[],[f19]) ).

fof(f46,plain,
    reproducibility(sK0,sK7(sK0,sK6),sK6),
    inference(unit_resulting_resolution,[],[f27,f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( reproducibility(X0,sK7(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( reproducibility(X0,sK7(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f15,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ? [X2] : reproducibility(X0,X2,X1)
     => reproducibility(X0,sK7(X0,X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ? [X2] : reproducibility(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : reproducibility(X0,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.fTIgyCdL6k/Vampire---4.8_29861',mp3) ).

fof(f45,plain,
    reproducibility(sK0,sK7(sK0,sK5),sK5),
    inference(unit_resulting_resolution,[],[f26,f35]) ).

fof(f32,plain,
    accountability(sK0,sK4,sK6),
    inference(cnf_transformation,[],[f19]) ).

fof(f31,plain,
    accountability(sK0,sK3,sK5),
    inference(cnf_transformation,[],[f19]) ).

fof(f30,plain,
    reliability(sK0,sK2,sK6),
    inference(cnf_transformation,[],[f19]) ).

fof(f29,plain,
    reliability(sK0,sK1,sK5),
    inference(cnf_transformation,[],[f19]) ).

fof(f27,plain,
    organization(sK0,sK6),
    inference(cnf_transformation,[],[f19]) ).

fof(f26,plain,
    organization(sK0,sK5),
    inference(cnf_transformation,[],[f19]) ).

fof(f52,plain,
    spl8_1,
    inference(avatar_contradiction_clause,[],[f51]) ).

fof(f51,plain,
    ( $false
    | spl8_1 ),
    inference(subsumption_resolution,[],[f49,f48]) ).

fof(f49,plain,
    ( ~ greater(sK7(sK0,sK6),sK7(sK0,sK5))
    | spl8_1 ),
    inference(unit_resulting_resolution,[],[f26,f31,f45,f29,f27,f32,f46,f30,f39,f22]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( greater(X5,X4)
      | ~ greater(X9,X8)
      | ~ reproducibility(X1,X9,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ accountability(X1,X7,X3)
      | ~ accountability(X0,X6,X2)
      | ~ reliability(X1,X5,X3)
      | ~ reliability(X0,X4,X2)
      | ~ organization(X1,X3)
      | ~ organization(X0,X2) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f39,plain,
    ( ~ greater(sK2,sK1)
    | spl8_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl8_1
  <=> greater(sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f44,plain,
    ( ~ spl8_1
    | ~ spl8_2 ),
    inference(avatar_split_clause,[],[f34,f41,f37]) ).

fof(f34,plain,
    ( ~ greater(sK4,sK3)
    | ~ greater(sK2,sK1) ),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : MGT006+1 : TPTP v8.1.2. Released v2.0.0.
% 0.09/0.12  % 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
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 17:40:49 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_NEQ problem
% 0.11/0.32  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.fTIgyCdL6k/Vampire---4.8_29861
% 0.60/0.81  % (29979)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)
% 0.60/0.81  % (29978)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)
% 0.60/0.81  % (29976)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (29977)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)
% 0.60/0.81  % (29974)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)
% 0.60/0.81  % (29980)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)
% 0.60/0.81  % (29975)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)
% 0.60/0.81  % (29981)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)
% 0.60/0.81  % (29977)First to succeed.
% 0.60/0.81  % (29976)Also succeeded, but the first one will report.
% 0.60/0.81  % (29977)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (29977)------------------------------
% 0.60/0.81  % (29977)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (29977)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (29977)Memory used [KB]: 1072
% 0.60/0.81  % (29977)Time elapsed: 0.006 s
% 0.60/0.81  % (29977)Instructions burned: 7 (million)
% 0.60/0.81  % (29977)------------------------------
% 0.60/0.81  % (29977)------------------------------
% 0.60/0.81  % (29971)Success in time 0.486 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------