TSTP Solution File: MGT023-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT023-1 : 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 : n015.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 03:21:51 EDT 2024

% Result   : Unsatisfiable 0.62s 0.79s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (   5 unt;   0 def)
%            Number of atoms       :   97 (  13 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  142 (  67   ~;  75   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(subsumption_resolution,[],[f34,f7]) ).

fof(f7,axiom,
    environment(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',prove_l5_23) ).

fof(f34,plain,
    ~ environment(sk3),
    inference(subsumption_resolution,[],[f33,f8]) ).

fof(f8,axiom,
    stable(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',prove_l5_24) ).

fof(f33,plain,
    ( ~ stable(sk3)
    | ~ environment(sk3) ),
    inference(resolution,[],[f32,f9]) ).

fof(f9,axiom,
    ~ in_environment(sk3,critical_point(sk3)),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',prove_l5_25) ).

fof(f32,plain,
    ! [X0] :
      ( in_environment(X0,critical_point(X0))
      | ~ stable(X0)
      | ~ environment(X0) ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( in_environment(X0,critical_point(X0))
      | ~ stable(X0)
      | ~ environment(X0)
      | ~ environment(X0)
      | ~ stable(X0) ),
    inference(superposition,[],[f4,f20]) ).

fof(f20,plain,
    ! [X0] :
      ( critical_point(X0) = sk2(X0)
      | ~ environment(X0)
      | ~ stable(X0) ),
    inference(subsumption_resolution,[],[f19,f4]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ environment(X0)
      | ~ in_environment(X0,sk2(X0))
      | critical_point(X0) = sk2(X0)
      | ~ stable(X0) ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ environment(X0)
      | ~ in_environment(X0,sk2(X0))
      | critical_point(X0) = sk2(X0)
      | ~ stable(X0)
      | ~ stable(X0)
      | ~ environment(X0)
      | ~ in_environment(X0,sk2(X0))
      | critical_point(X0) = sk2(X0)
      | ~ environment(X0)
      | ~ stable(X0)
      | ~ environment(X0) ),
    inference(resolution,[],[f16,f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( greater(sk1(sk2(X0),X1),sk2(X0))
      | ~ in_environment(X1,sk2(X0))
      | sk2(X0) = critical_point(X1)
      | ~ environment(X1)
      | ~ stable(X0)
      | ~ environment(X0) ),
    inference(resolution,[],[f2,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',l12_21) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | greater(sk1(X1,X0),X1)
      | ~ in_environment(X0,X1)
      | critical_point(X0) = X1
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',d1_18) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ greater(sk1(sk2(X1),X0),sk2(X0))
      | ~ environment(X0)
      | ~ in_environment(X0,sk2(X1))
      | critical_point(X0) = sk2(X1)
      | ~ stable(X0)
      | ~ stable(X1)
      | ~ environment(X1) ),
    inference(resolution,[],[f15,f5]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ in_environment(X0,X1)
      | ~ environment(X0)
      | ~ greater(sk1(X1,X0),sk2(X0))
      | critical_point(X0) = X1
      | ~ stable(X0) ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ environment(X0)
      | ~ greater(sk1(X1,X0),sk2(X0))
      | critical_point(X0) = X1
      | ~ stable(X0)
      | ~ environment(X0)
      | critical_point(X0) = X1
      | ~ in_environment(X0,X1)
      | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ environment(X0) ),
    inference(resolution,[],[f13,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
      | critical_point(X0) = X1
      | ~ in_environment(X0,X1)
      | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',d1_17) ).

fof(f13,plain,
    ! [X2,X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X2,sk1(X1,X0))
      | ~ in_environment(X0,X1)
      | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ environment(X0)
      | ~ greater(sk1(X1,X0),sk2(X2))
      | critical_point(X0) = X1
      | ~ stable(X2)
      | ~ environment(X2) ),
    inference(resolution,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ greater(X1,sk2(X0))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',l12_22) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
      | critical_point(X0) = X1
      | ~ in_environment(X0,X1)
      | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',d1_19) ).

fof(f4,axiom,
    ! [X0] :
      ( in_environment(X0,sk2(X0))
      | ~ stable(X0)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.aYDZuCo7bv/Vampire---4.8_9536',l12_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : MGT023-1 : 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 : n015.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   : Tue Apr 30 18:30:33 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN 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.aYDZuCo7bv/Vampire---4.8_9536
% 0.62/0.78  % (9747)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)
% 0.62/0.78  % (9752)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)
% 0.62/0.78  % (9747)Refutation not found, incomplete strategy% (9747)------------------------------
% 0.62/0.78  % (9747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (9747)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (9752)First to succeed.
% 0.62/0.78  % (9747)Memory used [KB]: 973
% 0.62/0.78  % (9747)Time elapsed: 0.002 s
% 0.62/0.78  % (9747)Instructions burned: 4 (million)
% 0.62/0.78  % (9749)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.78  % (9747)------------------------------
% 0.62/0.78  % (9747)------------------------------
% 0.62/0.78  % (9748)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)
% 0.62/0.78  % (9750)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)
% 0.62/0.78  % (9751)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)
% 0.62/0.78  % (9753)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)
% 0.62/0.78  % (9754)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)
% 0.62/0.79  % (9752)Refutation found. Thanks to Tanya!
% 0.62/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79  % (9752)------------------------------
% 0.62/0.79  % (9752)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (9752)Termination reason: Refutation
% 0.62/0.79  
% 0.62/0.79  % (9752)Memory used [KB]: 980
% 0.62/0.79  % (9752)Time elapsed: 0.002 s
% 0.62/0.79  % (9752)Instructions burned: 4 (million)
% 0.62/0.79  % (9752)------------------------------
% 0.62/0.79  % (9752)------------------------------
% 0.62/0.79  % (9725)Success in time 0.42 s
% 0.62/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------