%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n020.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 Aug 31 17:51:00 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  100 (  55   ~;  45   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   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   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(subsumption_resolution,[],[f20,f5]) ).

fof(f5,axiom,
    stable(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_5) ).

fof(f20,plain,
    ~ stable(sk2),
    inference(subsumption_resolution,[],[f19,f4]) ).

fof(f4,axiom,
    environment(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_4) ).

fof(f19,plain,
    ( ~ environment(sk2)
    | ~ stable(sk2) ),
    inference(resolution,[],[f18,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( in_environment(X0,sk1(X0))
      | ~ environment(X0)
      | ~ stable(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_2) ).

fof(f18,plain,
    ~ in_environment(sk2,sk1(sk2)),
    inference(duplicate_literal_removal,[],[f17]) ).

fof(f17,plain,
    ( ~ in_environment(sk2,sk1(sk2))
    | ~ in_environment(sk2,sk1(sk2)) ),
    inference(resolution,[],[f16,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( greater_or_equal(sk3(X0),X0)
      | ~ in_environment(sk2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_7) ).

fof(f16,plain,
    ! [X0] :
      ( ~ greater_or_equal(sk3(X0),sk1(sk2))
      | ~ in_environment(sk2,X0) ),
    inference(subsumption_resolution,[],[f15,f5]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ in_environment(sk2,X0)
      | ~ greater_or_equal(sk3(X0),sk1(sk2))
      | ~ stable(sk2) ),
    inference(subsumption_resolution,[],[f14,f4]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ environment(sk2)
      | ~ in_environment(sk2,X0)
      | ~ greater_or_equal(sk3(X0),sk1(sk2))
      | ~ stable(sk2) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ environment(sk2)
      | ~ in_environment(sk2,X0)
      | ~ stable(sk2)
      | ~ in_environment(sk2,X0)
      | ~ greater_or_equal(sk3(X0),sk1(sk2)) ),
    inference(resolution,[],[f12,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( subpopulations(first_movers,efficient_producers,sk2,sk3(X0))
      | ~ in_environment(sk2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_6) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,sk3(X1))
      | ~ greater_or_equal(sk3(X1),sk1(X0))
      | ~ in_environment(sk2,X1)
      | ~ stable(X0)
      | ~ environment(X0) ),
    inference(subsumption_resolution,[],[f11,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,sk3(X0))
      | ~ in_environment(sk2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1_8) ).

fof(f11,plain,
    ! [X0,X1] :
      ( selection_favors(efficient_producers,first_movers,sk3(X1))
      | ~ stable(X0)
      | ~ in_environment(sk2,X1)
      | ~ subpopulations(first_movers,efficient_producers,X0,sk3(X1))
      | ~ environment(X0)
      | ~ greater_or_equal(sk3(X1),sk1(X0)) ),
    inference(subsumption_resolution,[],[f10,f4]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,sk3(X1))
      | ~ environment(X0)
      | selection_favors(efficient_producers,first_movers,sk3(X1))
      | ~ stable(X0)
      | ~ in_environment(sk2,X1)
      | ~ greater_or_equal(sk3(X1),sk1(X0))
      | ~ environment(sk2) ),
    inference(resolution,[],[f9,f6]) ).

fof(f9,plain,
    ! [X2,X0,X1] :
      ( ~ subpopulations(first_movers,efficient_producers,X2,X1)
      | ~ environment(X0)
      | selection_favors(efficient_producers,first_movers,X1)
      | ~ stable(X0)
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ environment(X2)
      | ~ greater_or_equal(X1,sk1(X0)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
      | ~ subpopulations(X1,X2,X0,X3)
      | selection_favors(X2,X1,X3)
      | ~ environment(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
      | ~ environment(X0)
      | ~ greater_or_equal(X1,sk1(X0))
      | ~ subpopulations(first_movers,efficient_producers,X0,X1)
      | ~ stable(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 03:17:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (3720)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (3704)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (3704)First to succeed.
% 0.20/0.50  % (3704)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (3704)------------------------------
% 0.20/0.50  % (3704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (3704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (3704)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (3704)Memory used [KB]: 5756
% 0.20/0.50  % (3704)Time elapsed: 0.096 s
% 0.20/0.50  % (3704)Instructions burned: 1 (million)
% 0.20/0.50  % (3704)------------------------------
% 0.20/0.50  % (3704)------------------------------
% 0.20/0.50  % (3696)Success in time 0.148 s
%------------------------------------------------------------------------------