TSTP Solution File: MGT032-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT032-2 : 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 : n005.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 07:56:40 EDT 2024

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   59 (  33   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f11]) ).

fof(f11,plain,
    in_environment(sk2,sk1(sk2)),
    inference(subsumption_resolution,[],[f10,f4]) ).

fof(f4,axiom,
    environment(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.065btalIQh/Vampire---4.8_17666',prove_t1_4) ).

fof(f10,plain,
    ( in_environment(sk2,sk1(sk2))
    | ~ environment(sk2) ),
    inference(resolution,[],[f2,f5]) ).

fof(f5,axiom,
    stable(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.065btalIQh/Vampire---4.8_17666',prove_t1_5) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ stable(X0)
      | in_environment(X0,sk1(X0))
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.065btalIQh/Vampire---4.8_17666',l1_2) ).

fof(f17,plain,
    ~ in_environment(sk2,sk1(sk2)),
    inference(resolution,[],[f16,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,sk2,sk3(X0))
      | ~ in_environment(sk2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.065btalIQh/Vampire---4.8_17666',prove_t1_6) ).

fof(f16,plain,
    ~ subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))),
    inference(subsumption_resolution,[],[f15,f11]) ).

fof(f15,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2)))
    | ~ in_environment(sk2,sk1(sk2)) ),
    inference(subsumption_resolution,[],[f14,f4]) ).

fof(f14,plain,
    ( ~ subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2)))
    | ~ environment(sk2)
    | ~ in_environment(sk2,sk1(sk2)) ),
    inference(resolution,[],[f13,f5]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ stable(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,sk3(sk1(X0)))
      | ~ environment(X0)
      | ~ in_environment(sk2,sk1(X0)) ),
    inference(subsumption_resolution,[],[f12,f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ greater(growth_rate(efficient_producers,sk3(X0)),growth_rate(first_movers,sk3(X0)))
      | ~ in_environment(sk2,X0)
      | ~ subpopulations(first_movers,efficient_producers,X1,sk3(X0))
      | ~ environment(X1) ),
    inference(resolution,[],[f8,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( selection_favors(X2,X1,X3)
      | ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
      | ~ subpopulations(X1,X2,X0,X3)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.065btalIQh/Vampire---4.8_17666',mp1_high_growth_rates_1) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,sk3(X0))
      | ~ in_environment(sk2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.065btalIQh/Vampire---4.8_17666',prove_t1_8) ).

fof(f12,plain,
    ! [X0] :
      ( greater(growth_rate(efficient_producers,sk3(sk1(X0))),growth_rate(first_movers,sk3(sk1(X0))))
      | ~ subpopulations(first_movers,efficient_producers,X0,sk3(sk1(X0)))
      | ~ stable(X0)
      | ~ environment(X0)
      | ~ in_environment(sk2,sk1(X0)) ),
    inference(resolution,[],[f3,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( greater_or_equal(sk3(X0),X0)
      | ~ in_environment(sk2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.065btalIQh/Vampire---4.8_17666',prove_t1_7) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X1,sk1(X0))
      | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.065btalIQh/Vampire---4.8_17666',l1_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT032-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n005.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 20:03:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_HRN 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.065btalIQh/Vampire---4.8_17666
% 0.57/0.75  % (18016)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)
% 0.57/0.75  % (18016)First to succeed.
% 0.57/0.75  % (18008)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)
% 0.57/0.75  % (18016)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17852"
% 0.57/0.75  % (18010)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (18009)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)
% 0.57/0.75  % (18011)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)
% 0.57/0.75  % (18013)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)
% 0.57/0.75  % (18012)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)
% 0.57/0.75  % (18014)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)
% 0.57/0.75  % (18016)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (18016)------------------------------
% 0.57/0.75  % (18016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (18016)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (18016)Memory used [KB]: 974
% 0.57/0.75  % (18016)Time elapsed: 0.002 s
% 0.57/0.75  % (18016)Instructions burned: 3 (million)
% 0.57/0.75  % (17852)Success in time 0.383 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------