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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT059+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 : Tue May 21 00:42:30 EDT 2024

% Result   : Theorem 0.52s 0.72s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :  112 (  34 equ)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :  129 (  39   ~;  27   |;  45   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   29 (  20   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44,plain,
    $false,
    inference(subsumption_resolution,[],[f43,f24]) ).

fof(f24,plain,
    has_immunity(sK0,sK1),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
    & has_immunity(sK0,sK2)
    & has_immunity(sK0,sK1)
    & organization(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f14,f21]) ).

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

fof(f14,plain,
    ? [X0,X1,X2] :
      ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
      & has_immunity(X0,X2)
      & has_immunity(X0,X1)
      & organization(X0) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ? [X0,X1,X2] :
      ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
      & has_immunity(X0,X2)
      & has_immunity(X0,X1)
      & organization(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ~ ! [X0,X1,X2] :
        ( ( has_immunity(X0,X2)
          & has_immunity(X0,X1)
          & organization(X0) )
       => hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ),
    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/sandbox/benchmark/theBenchmark.p',assumption_2) ).

fof(f43,plain,
    ~ has_immunity(sK0,sK1),
    inference(trivial_inequality_removal,[],[f42]) ).

fof(f42,plain,
    ( very_low != very_low
    | ~ has_immunity(sK0,sK1) ),
    inference(superposition,[],[f41,f39]) ).

fof(f39,plain,
    ! [X0] :
      ( very_low = hazard_of_mortality(sK0,X0)
      | ~ has_immunity(sK0,X0) ),
    inference(resolution,[],[f27,f23]) ).

fof(f23,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f22]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ organization(X0)
      | ~ has_immunity(X0,X1)
      | very_low = hazard_of_mortality(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,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,[],[f15]) ).

fof(f15,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,[],[f11]) ).

fof(f11,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/sandbox/benchmark/theBenchmark.p',assumption_17) ).

fof(f41,plain,
    very_low != hazard_of_mortality(sK0,sK1),
    inference(subsumption_resolution,[],[f40,f25]) ).

fof(f25,plain,
    has_immunity(sK0,sK2),
    inference(cnf_transformation,[],[f22]) ).

fof(f40,plain,
    ( very_low != hazard_of_mortality(sK0,sK1)
    | ~ has_immunity(sK0,sK2) ),
    inference(superposition,[],[f26,f39]) ).

fof(f26,plain,
    hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : MGT059+1 : TPTP v8.2.0. Released v2.4.0.
% 0.15/0.15  % 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 : n013.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   : Sat May 18 23:58:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ 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/benchmark/theBenchmark.p
% 0.52/0.71  % (30523)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.71  % (30525)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 theBenchmark for (2996ds/34Mi)
% 0.52/0.71  % (30524)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.52/0.71  % (30526)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.52/0.71  % (30528)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.52/0.71  % (30527)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 theBenchmark for (2996ds/83Mi)
% 0.52/0.71  % (30521)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 theBenchmark for (2996ds/34Mi)
% 0.52/0.71  % (30524)Refutation not found, incomplete strategy% (30524)------------------------------
% 0.52/0.71  % (30524)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71  % (30524)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.71  % (30526)Refutation not found, incomplete strategy% (30526)------------------------------
% 0.52/0.71  % (30526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71  % (30526)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.71  
% 0.52/0.71  % (30526)Memory used [KB]: 967
% 0.52/0.71  % (30526)Time elapsed: 0.002 s
% 0.52/0.71  % (30526)Instructions burned: 2 (million)
% 0.52/0.71  
% 0.52/0.71  % (30528)Refutation not found, incomplete strategy% (30528)------------------------------
% 0.52/0.71  % (30528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71  % (30528)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.71  
% 0.52/0.71  % (30528)Memory used [KB]: 968
% 0.52/0.71  % (30528)Time elapsed: 0.002 s
% 0.52/0.71  % (30528)Instructions burned: 2 (million)
% 0.52/0.71  % (30524)Memory used [KB]: 967
% 0.52/0.71  % (30524)Time elapsed: 0.002 s
% 0.52/0.71  % (30523)First to succeed.
% 0.52/0.71  % (30524)Instructions burned: 2 (million)
% 0.52/0.71  % (30526)------------------------------
% 0.52/0.71  % (30526)------------------------------
% 0.52/0.71  % (30528)------------------------------
% 0.52/0.71  % (30528)------------------------------
% 0.52/0.71  % (30524)------------------------------
% 0.52/0.71  % (30524)------------------------------
% 0.52/0.71  % (30527)Refutation not found, incomplete strategy% (30527)------------------------------
% 0.52/0.71  % (30527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.71  % (30527)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.71  % (30523)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30520"
% 0.52/0.71  
% 0.52/0.71  % (30527)Memory used [KB]: 966
% 0.52/0.71  % (30527)Time elapsed: 0.003 s
% 0.52/0.71  % (30527)Instructions burned: 2 (million)
% 0.52/0.71  % (30527)------------------------------
% 0.52/0.71  % (30527)------------------------------
% 0.52/0.72  % (30523)Refutation found. Thanks to Tanya!
% 0.52/0.72  % SZS status Theorem for theBenchmark
% 0.52/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.72  % (30523)------------------------------
% 0.52/0.72  % (30523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.72  % (30523)Termination reason: Refutation
% 0.52/0.72  
% 0.52/0.72  % (30523)Memory used [KB]: 996
% 0.52/0.72  % (30523)Time elapsed: 0.002 s
% 0.52/0.72  % (30523)Instructions burned: 4 (million)
% 0.52/0.72  % (30520)Success in time 0.337 s
% 0.52/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------