TSTP Solution File: MGT059+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : 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 07:56:55 EDT 2024

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (   8 unt;   0 def)
%            Number of atoms       :  145 (  34 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  158 (  49   ~;  42   |;  45   &)
%                                         (   4 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   28 (  19   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f69,plain,
    $false,
    inference(avatar_sat_refutation,[],[f55,f57,f64,f66,f68]) ).

fof(f68,plain,
    spl3_4,
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f67,plain,
    ( $false
    | spl3_4 ),
    inference(resolution,[],[f63,f33]) ).

fof(f33,plain,
    has_immunity(sK0,sK1),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
    & has_immunity(sK0,sK2)
    & has_immunity(sK0,sK1)
    & organization(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f20,f21]) ).

fof(f21,plain,
    ( ? [X0,X1,X2] :
        ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
        & has_immunity(X0,X2)
        & has_immunity(X0,X1)
        & organization(X0) )
   => ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
      & has_immunity(sK0,sK2)
      & has_immunity(sK0,sK1)
      & organization(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0,X1,X2] :
      ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
      & has_immunity(X0,X2)
      & has_immunity(X0,X1)
      & organization(X0) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ? [X0,X1,X2] :
      ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
      & has_immunity(X0,X2)
      & has_immunity(X0,X1)
      & organization(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X0,X1,X2] :
        ( ( has_immunity(X0,X2)
          & has_immunity(X0,X1)
          & organization(X0) )
       => hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X4,X3] :
        ( ( has_immunity(X0,X3)
          & has_immunity(X0,X4)
          & organization(X0) )
       => hazard_of_mortality(X0,X3) = hazard_of_mortality(X0,X4) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0,X4,X3] :
      ( ( has_immunity(X0,X3)
        & has_immunity(X0,X4)
        & organization(X0) )
     => hazard_of_mortality(X0,X3) = hazard_of_mortality(X0,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.ajIn0lUliw/Vampire---4.8_7332',assumption_2) ).

fof(f63,plain,
    ( ~ has_immunity(sK0,sK1)
    | spl3_4 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl3_4
  <=> has_immunity(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f66,plain,
    spl3_1,
    inference(avatar_contradiction_clause,[],[f65]) ).

fof(f65,plain,
    ( $false
    | spl3_1 ),
    inference(resolution,[],[f46,f32]) ).

fof(f32,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f22]) ).

fof(f46,plain,
    ( ~ organization(sK0)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl3_1
  <=> organization(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f64,plain,
    ( ~ spl3_1
    | ~ spl3_4
    | spl3_3 ),
    inference(avatar_split_clause,[],[f59,f52,f61,f44]) ).

fof(f52,plain,
    ( spl3_3
  <=> very_low = hazard_of_mortality(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f59,plain,
    ( ~ has_immunity(sK0,sK1)
    | ~ organization(sK0)
    | spl3_3 ),
    inference(trivial_inequality_removal,[],[f58]) ).

fof(f58,plain,
    ( very_low != very_low
    | ~ has_immunity(sK0,sK1)
    | ~ organization(sK0)
    | spl3_3 ),
    inference(superposition,[],[f54,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( very_low = hazard_of_mortality(X0,X1)
      | ~ has_immunity(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( ( ( ( high = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | is_aligned(X0,X1) )
            & ( mod2 = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) )
            & ( mod1 = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | is_aligned(X0,X1) )
            & ( low = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) ) )
          | has_immunity(X0,X1) )
        & ( very_low = hazard_of_mortality(X0,X1)
          | ~ has_immunity(X0,X1) ) )
      | ~ organization(X0) ),
    inference(flattening,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( ( ( ( high = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | is_aligned(X0,X1) )
            & ( mod2 = hazard_of_mortality(X0,X1)
              | positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) )
            & ( mod1 = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | is_aligned(X0,X1) )
            & ( low = hazard_of_mortality(X0,X1)
              | ~ positional_advantage(X0,X1)
              | ~ is_aligned(X0,X1) ) )
          | has_immunity(X0,X1) )
        & ( very_low = hazard_of_mortality(X0,X1)
          | ~ has_immunity(X0,X1) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( organization(X0)
     => ( ( ~ has_immunity(X0,X1)
         => ( ( ( ~ positional_advantage(X0,X1)
                & ~ is_aligned(X0,X1) )
             => high = hazard_of_mortality(X0,X1) )
            & ( ( ~ positional_advantage(X0,X1)
                & is_aligned(X0,X1) )
             => mod2 = hazard_of_mortality(X0,X1) )
            & ( ( positional_advantage(X0,X1)
                & ~ is_aligned(X0,X1) )
             => mod1 = hazard_of_mortality(X0,X1) )
            & ( ( positional_advantage(X0,X1)
                & is_aligned(X0,X1) )
             => low = hazard_of_mortality(X0,X1) ) ) )
        & ( has_immunity(X0,X1)
         => very_low = hazard_of_mortality(X0,X1) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X3] :
      ( organization(X0)
     => ( ( ~ has_immunity(X0,X3)
         => ( ( ( ~ positional_advantage(X0,X3)
                & ~ is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = high )
            & ( ( ~ positional_advantage(X0,X3)
                & is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = mod2 )
            & ( ( positional_advantage(X0,X3)
                & ~ is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = mod1 )
            & ( ( positional_advantage(X0,X3)
                & is_aligned(X0,X3) )
             => hazard_of_mortality(X0,X3) = low ) ) )
        & ( has_immunity(X0,X3)
         => hazard_of_mortality(X0,X3) = very_low ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ajIn0lUliw/Vampire---4.8_7332',assumption_17) ).

fof(f54,plain,
    ( very_low != hazard_of_mortality(sK0,sK1)
    | spl3_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f57,plain,
    spl3_2,
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | spl3_2 ),
    inference(resolution,[],[f50,f34]) ).

fof(f34,plain,
    has_immunity(sK0,sK2),
    inference(cnf_transformation,[],[f22]) ).

fof(f50,plain,
    ( ~ has_immunity(sK0,sK2)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl3_2
  <=> has_immunity(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f55,plain,
    ( ~ spl3_1
    | ~ spl3_2
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f42,f52,f48,f44]) ).

fof(f42,plain,
    ( very_low != hazard_of_mortality(sK0,sK1)
    | ~ has_immunity(sK0,sK2)
    | ~ organization(sK0) ),
    inference(superposition,[],[f35,f27]) ).

fof(f35,plain,
    hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % 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
% 0.14/0.36  % 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 20:03:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.ajIn0lUliw/Vampire---4.8_7332
% 0.54/0.75  % (7440)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)
% 0.54/0.75  % (7441)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)
% 0.54/0.75  % (7447)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)
% 0.54/0.75  % (7443)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)
% 0.54/0.75  % (7446)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)
% 0.54/0.75  % (7445)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)
% 0.54/0.75  % (7444)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)
% 0.54/0.75  % (7440)Refutation not found, incomplete strategy% (7440)------------------------------
% 0.54/0.75  % (7440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (7440)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (7440)Memory used [KB]: 978
% 0.54/0.75  % (7440)Time elapsed: 0.002 s
% 0.54/0.75  % (7440)Instructions burned: 2 (million)
% 0.54/0.75  % (7447)Refutation not found, incomplete strategy% (7447)------------------------------
% 0.54/0.75  % (7447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (7447)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (7443)Refutation not found, incomplete strategy% (7443)------------------------------
% 0.54/0.75  % (7443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (7447)Memory used [KB]: 960
% 0.54/0.75  % (7447)Time elapsed: 0.002 s
% 0.54/0.75  % (7447)Instructions burned: 2 (million)
% 0.54/0.75  % (7440)------------------------------
% 0.54/0.75  % (7440)------------------------------
% 0.54/0.75  % (7443)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (7443)Memory used [KB]: 959
% 0.54/0.75  % (7443)Time elapsed: 0.002 s
% 0.54/0.75  % (7443)Instructions burned: 2 (million)
% 0.54/0.75  % (7445)Refutation not found, incomplete strategy% (7445)------------------------------
% 0.54/0.75  % (7445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (7446)Refutation not found, incomplete strategy% (7446)------------------------------
% 0.54/0.75  % (7446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (7446)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (7446)Memory used [KB]: 958
% 0.54/0.75  % (7446)Time elapsed: 0.002 s
% 0.54/0.75  % (7446)Instructions burned: 2 (million)
% 0.54/0.75  % (7445)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (7445)Memory used [KB]: 959
% 0.54/0.75  % (7447)------------------------------
% 0.54/0.75  % (7447)------------------------------
% 0.54/0.75  % (7445)Time elapsed: 0.002 s
% 0.54/0.75  % (7445)Instructions burned: 2 (million)
% 0.54/0.75  % (7443)------------------------------
% 0.54/0.75  % (7443)------------------------------
% 0.54/0.75  % (7446)------------------------------
% 0.54/0.75  % (7446)------------------------------
% 0.54/0.75  % (7445)------------------------------
% 0.54/0.75  % (7445)------------------------------
% 0.54/0.75  % (7441)First to succeed.
% 0.54/0.75  % (7442)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (7441)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7439"
% 0.54/0.75  % (7448)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.54/0.75  % (7441)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (7441)------------------------------
% 0.54/0.75  % (7441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (7441)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (7441)Memory used [KB]: 1007
% 0.54/0.75  % (7441)Time elapsed: 0.004 s
% 0.54/0.75  % (7441)Instructions burned: 4 (million)
% 0.54/0.75  % (7439)Success in time 0.388 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------