TSTP Solution File: MGT034+2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% 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  : 600s
% DateTime : Sun Jul 17 22:24:24 EDT 2022

% Result   : Theorem 0.12s 0.35s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    environment(sK0),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3)]) ).

cnf(g1,plain,
    in_environment(sK0,critical_point(sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3)]) ).

cnf(g2,plain,
    greater_or_equal(sK1,appear(efficient_producers,sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3)]) ).

cnf(g3,plain,
    greater(critical_point(sK0),sK1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3)]) ).

cnf(g4,plain,
    ~ selection_favors(first_movers,efficient_producers,sK1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3)]) ).

cnf(g5,plain,
    ( ~ environment(sK0)
    | ~ in_environment(sK0,appear(efficient_producers,sK0))
    | subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears)]) ).

cnf(g6,plain,
    ( ~ environment(sK0)
    | ~ in_environment(sK0,critical_point(sK0))
    | subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP)]) ).

cnf(g7,plain,
    ( ~ environment(sK0)
    | ~ greater(critical_point(sK0),sK1)
    | ~ decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
    | ~ in_environment(sK0,critical_point(sK0))
    | ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
    | ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
    | greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_decreasing_function)]) ).

cnf(g8,plain,
    ( ~ greater(critical_point(sK0),sK1)
    | greater_or_equal(critical_point(sK0),sK1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).

cnf(g9,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(efficient_producers,first_movers,sK0,sK1)
    | ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))
    | selection_favors(first_movers,efficient_producers,sK1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates)]) ).

cnf(g10,plain,
    ( ~ environment(sK0)
    | ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
    | ~ in_environment(sK0,critical_point(sK0))
    | ~ greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0))
    | in_environment(sK0,appear(efficient_producers,sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_time_points)]) ).

cnf(g11,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
    | greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
    | greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_relationship_of_growth_rates)]) ).

cnf(g12,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
    | greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared)]) ).

cnf(g13,plain,
    ( ~ greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0))
    | sPE(critical_point(sK0),appear(efficient_producers,sK0))
    | greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).

cnf(g14,plain,
    ( ~ greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
    | greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_negative_growth_rate_difference)]) ).

cnf(g15,plain,
    ( ~ decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1)))
    | decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)))
    | decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_difference_between_founding_rates)]) ).

cnf(g16,plain,
    ( ~ sPE(appear(efficient_producers,sK0),critical_point(sK0))
    | greater_or_equal(appear(efficient_producers,sK0),critical_point(sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).

cnf(g17,plain,
    sPE(sK0,sK0),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(sK0,sK0)
    | sPE(critical_point(sK0),critical_point(sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    sPE(appear(efficient_producers,sK0),appear(efficient_producers,sK0)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero)
    | greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference)]) ).

cnf(g21,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
    | ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
    | ~ greater_or_equal(critical_point(sK0),sK1)
    | ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
    | subpopulations(first_movers,efficient_producers,sK0,sK1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10)]) ).

cnf(g22,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
    | subpopulations(efficient_producers,first_movers,sK0,sK1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations)]) ).

cnf(g23,plain,
    ( ~ sPE(critical_point(sK0),critical_point(sK0))
    | ~ environment(sK0)
    | ~ greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1)]) ).

cnf(g24,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
    | ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
    | ~ greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0))
    | ~ greater_or_equal(appear(efficient_producers,sK0),critical_point(sK0))
    | subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10)]) ).

cnf(g25,plain,
    ( ~ sPE(appear(efficient_producers,sK0),appear(efficient_producers,sK0))
    | greater_or_equal(appear(efficient_producers,sK0),appear(efficient_producers,sK0)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).

cnf(g26,plain,
    ( ~ sPE(critical_point(sK0),appear(efficient_producers,sK0))
    | sPE(appear(efficient_producers,sK0),critical_point(sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
    | decreases(difference(founding_rate(first_movers,sK1),founding_rate(efficient_producers,sK1))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12)]) ).

cnf(g28,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
    | ~ decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 10:24:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  % symbols: 22
% 0.12/0.35  % clauses: 48
% 0.12/0.35  % start clauses: 5
% 0.12/0.35  % iterative deepening steps: 122
% 0.12/0.35  % maximum path limit: 2
% 0.12/0.35  % literal attempts: 34739
% 0.12/0.35  % depth failures: 24953
% 0.12/0.35  % regularity failures: 287
% 0.12/0.35  % tautology failures: 669
% 0.12/0.35  % reductions: 1427
% 0.12/0.35  % extensions: 32743
% 0.12/0.35  % SAT variables: 2879
% 0.12/0.35  % SAT clauses: 3974
% 0.12/0.35  % WalkSAT solutions: 3968
% 0.12/0.35  % CDCL solutions: 0
% 0.12/0.35  % SZS status Theorem for theBenchmark
% 0.12/0.35  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------