TSTP Solution File: MGT036+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT036+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HJ1USn7gZu true

% Computer : n024.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 : Thu Aug 31 09:20:24 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   53 (  14 unt;  13 typ;   0 def)
%            Number of atoms       :  100 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  420 (  51   ~;  41   |;  10   &; 309   @)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   6 con; 0-4 aty)
%            Number of variables   :   68 (   0   ^;  68   !;   0   ?;  68   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subpopulations_type,type,
    subpopulations: $i > $i > $i > $i > $o ).

thf(efficient_producers_type,type,
    efficient_producers: $i ).

thf(zero_type,type,
    zero: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__type,type,
    sk_: $i ).

thf(resilience_type,type,
    resilience: $i > $i ).

thf(greater_type,type,
    greater: $i > $i > $o ).

thf(in_environment_type,type,
    in_environment: $i > $i > $o ).

thf(first_movers_type,type,
    first_movers: $i ).

thf(greater_or_equal_type,type,
    greater_or_equal: $i > $i > $o ).

thf(environment_type,type,
    environment: $i > $o ).

thf(outcompetes_type,type,
    outcompetes: $i > $i > $i > $o ).

thf(growth_rate_type,type,
    growth_rate: $i > $i > $i ).

thf(prove_t5,conjecture,
    ! [E: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
     => ~ ( outcompetes @ first_movers @ efficient_producers @ T ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [E: $i,T: $i] :
        ( ( ( environment @ E )
          & ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
       => ~ ( outcompetes @ first_movers @ efficient_producers @ T ) ),
    inference('cnf.neg',[status(esa)],[prove_t5]) ).

thf(zip_derived_cl12,plain,
    subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mp_symmetry_of_subpopulations,axiom,
    ! [E: $i,S1: $i,S2: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ S1 @ S2 @ E @ T ) )
     => ( subpopulations @ S2 @ S1 @ E @ T ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ X1 @ X2 @ X0 @ X3 )
      | ( subpopulations @ X2 @ X1 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[mp_symmetry_of_subpopulations]) ).

thf(zip_derived_cl22,plain,
    ( ~ ( environment @ sk_ )
    | ( subpopulations @ efficient_producers @ first_movers @ sk_ @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl0]) ).

thf(zip_derived_cl13,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    subpopulations @ efficient_producers @ first_movers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl13]) ).

thf(zip_derived_cl11,plain,
    outcompetes @ first_movers @ efficient_producers @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d2,axiom,
    ! [E: $i,S1: $i,S2: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ S1 @ S2 @ E @ T ) )
     => ( ( ( greater_or_equal @ ( growth_rate @ S2 @ T ) @ zero )
          & ( greater @ zero @ ( growth_rate @ S1 @ T ) ) )
      <=> ( outcompetes @ S2 @ S1 @ T ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ X1 @ X2 @ X0 @ X3 )
      | ( greater_or_equal @ ( growth_rate @ X2 @ X3 ) @ zero )
      | ~ ( outcompetes @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[d2]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( greater_or_equal @ ( growth_rate @ first_movers @ sk__1 ) @ zero )
      | ~ ( subpopulations @ efficient_producers @ first_movers @ X0 @ sk__1 )
      | ~ ( environment @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).

thf(mp_growth_rate_relationships,axiom,
    ! [E: $i,S1: $i,S2: $i,T: $i] :
      ( ( ( ( environment @ E )
          & ( subpopulations @ S1 @ S2 @ E @ T ) )
       => ( greater_or_equal @ ( growth_rate @ S1 @ T ) @ zero ) )
    <=> ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ X0 @ X1 ) )
      | ~ ( greater_or_equal @ ( growth_rate @ X0 @ X1 ) @ zero ) ),
    inference(cnf,[status(esa)],[mp_growth_rate_relationships]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ efficient_producers @ first_movers @ X0 @ sk__1 )
      | ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ X0 @ X1 ) )
      | ( environment @ X2 ) ),
    inference(cnf,[status(esa)],[mp_growth_rate_relationships]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ first_movers @ sk__1 ) )
      | ~ ( subpopulations @ efficient_producers @ first_movers @ X0 @ sk__1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl20,zip_derived_cl4]) ).

thf(a2,axiom,
    greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ) ).

thf(zip_derived_cl9,plain,
    greater @ ( resilience @ efficient_producers ) @ ( resilience @ first_movers ),
    inference(cnf,[status(esa)],[a2]) ).

thf(zip_derived_cl23_001,plain,
    subpopulations @ efficient_producers @ first_movers @ sk_ @ sk__1,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl13]) ).

thf(zip_derived_cl11_002,plain,
    outcompetes @ first_movers @ efficient_producers @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ X1 @ X2 @ X0 @ X3 )
      | ( greater @ zero @ ( growth_rate @ X1 @ X3 ) )
      | ~ ( outcompetes @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[d2]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) )
      | ~ ( subpopulations @ efficient_producers @ first_movers @ X0 @ sk__1 )
      | ~ ( environment @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).

thf(zip_derived_cl33,plain,
    ( ( greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ) )
    | ~ ( environment @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl18]) ).

thf(zip_derived_cl13_003,plain,
    environment @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    greater @ zero @ ( growth_rate @ efficient_producers @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl33,zip_derived_cl13]) ).

thf(zip_derived_cl12_004,plain,
    subpopulations @ first_movers @ efficient_producers @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mp_time_point_occur,axiom,
    ! [E: $i,T: $i] :
      ( ( ( environment @ E )
        & ( subpopulations @ first_movers @ efficient_producers @ E @ T ) )
     => ( in_environment @ E @ T ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( environment @ X0 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ X0 @ X1 )
      | ( in_environment @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mp_time_point_occur]) ).

thf(a13,axiom,
    ! [E: $i,S1: $i,S2: $i,T: $i] :
      ( ( ( environment @ E )
        & ( in_environment @ E @ T )
        & ~ ( greater @ zero @ ( growth_rate @ S1 @ T ) )
        & ( greater @ ( resilience @ S2 ) @ ( resilience @ S1 ) ) )
     => ~ ( greater @ zero @ ( growth_rate @ S2 @ T ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( greater @ ( resilience @ X0 ) @ ( resilience @ X1 ) )
      | ~ ( environment @ X2 )
      | ~ ( in_environment @ X2 @ X3 )
      | ( greater @ zero @ ( growth_rate @ X1 @ X3 ) )
      | ~ ( greater @ zero @ ( growth_rate @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[a13]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ X3 @ X0 )
      | ~ ( environment @ X3 )
      | ~ ( greater @ zero @ ( growth_rate @ X1 @ X0 ) )
      | ( greater @ zero @ ( growth_rate @ X2 @ X0 ) )
      | ~ ( environment @ X3 )
      | ~ ( greater @ ( resilience @ X1 ) @ ( resilience @ X2 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( greater @ ( resilience @ X1 ) @ ( resilience @ X2 ) )
      | ( greater @ zero @ ( growth_rate @ X2 @ X0 ) )
      | ~ ( greater @ zero @ ( growth_rate @ X1 @ X0 ) )
      | ~ ( environment @ X3 )
      | ~ ( subpopulations @ first_movers @ efficient_producers @ X3 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl4_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ X0 @ X1 ) )
      | ( environment @ X2 ) ),
    inference(cnf,[status(esa)],[mp_growth_rate_relationships]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subpopulations @ first_movers @ efficient_producers @ X3 @ X0 )
      | ~ ( greater @ zero @ ( growth_rate @ X1 @ X0 ) )
      | ( greater @ zero @ ( growth_rate @ X2 @ X0 ) )
      | ~ ( greater @ ( resilience @ X1 ) @ ( resilience @ X2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl4]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( greater @ zero @ ( growth_rate @ X0 @ sk__1 ) )
      | ( greater @ zero @ ( growth_rate @ X1 @ sk__1 ) )
      | ~ ( greater @ ( resilience @ X0 ) @ ( resilience @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl36]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( greater @ zero @ ( growth_rate @ X0 @ sk__1 ) )
      | ~ ( greater @ ( resilience @ efficient_producers ) @ ( resilience @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl39]) ).

thf(zip_derived_cl50,plain,
    greater @ zero @ ( growth_rate @ first_movers @ sk__1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl47]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ~ ( subpopulations @ efficient_producers @ first_movers @ X0 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl50]) ).

thf(zip_derived_cl56,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT036+2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HJ1USn7gZu true
% 0.13/0.34  % Computer : n024.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 : Mon Aug 28 06:36:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % Solved by fo/fo6_bce.sh.
% 0.21/0.76  % BCE start: 14
% 0.21/0.76  % BCE eliminated: 0
% 0.21/0.76  % PE start: 14
% 0.21/0.76  logic: neq
% 0.21/0.76  % PE eliminated: 5
% 0.21/0.76  % done 23 iterations in 0.028s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 1.07/0.76  % Terminating...
% 1.53/0.85  % Runner terminated.
% 1.53/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------