TSTP Solution File: MGT025+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n032.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 22:24:20 EDT 2022

% Result   : Theorem 0.15s 0.32s
% Output   : Proof 0.15s
% 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_l7)]) ).

cnf(g1,plain,
    subpopulations(first_movers,efficient_producers,sK0,sK1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7)]) ).

cnf(g2,plain,
    constant(number_of_organizations(sK0,sK1)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7)]) ).

cnf(g3,plain,
    ( ~ sPE(growth_rate(efficient_producers,sK1),zero)
    | ~ sPE(growth_rate(first_movers,sK1),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7)]) ).

cnf(g4,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sK1))
    | ~ greater(growth_rate(first_movers,sK1),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7)]) ).

cnf(g5,plain,
    ( ~ greater(zero,growth_rate(first_movers,sK1))
    | ~ greater(growth_rate(efficient_producers,sK1),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7)]) ).

cnf(g6,plain,
    ( ~ environment(sK0)
    | ~ in_environment(sK0,sK1)
    | subpopulation(efficient_producers,sK0,sK1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations)]) ).

cnf(g7,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
    | in_environment(sK0,sK1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur)]) ).

cnf(g8,plain,
    ( ~ environment(sK0)
    | ~ in_environment(sK0,sK1)
    | subpopulation(first_movers,sK0,sK1) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations)]) ).

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

cnf(g10,plain,
    ( ~ environment(sK0)
    | ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
    | greater(cardinality_at_time(efficient_producers,sK1),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_zero_producers)]) ).

cnf(g11,plain,
    ( ~ environment(sK0)
    | ~ subpopulation(first_movers,sK0,sK1)
    | ~ greater(cardinality_at_time(first_movers,sK1),zero)
    | ~ in_environment(sK0,sK1)
    | ~ increases(cardinality_at_time(first_movers,sK1))
    | greater(growth_rate(first_movers,sK1),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate)]) ).

cnf(g12,plain,
    ( ~ environment(sK0)
    | ~ subpopulation(efficient_producers,sK0,sK1)
    | ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
    | ~ in_environment(sK0,sK1)
    | ~ decreases(cardinality_at_time(efficient_producers,sK1))
    | greater(zero,growth_rate(efficient_producers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate)]) ).

cnf(g13,plain,
    ( ~ environment(sK0)
    | ~ subpopulation(efficient_producers,sK0,sK1)
    | ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
    | ~ in_environment(sK0,sK1)
    | ~ constant(cardinality_at_time(efficient_producers,sK1))
    | sPE(growth_rate(efficient_producers,sK1),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate)]) ).

cnf(g14,plain,
    ( ~ sPE(first_movers,first_movers)
    | ~ environment(sK0)
    | ~ subpopulation(first_movers,sK0,sK1)
    | sPE(number_of_organizations(sK0,sK1),sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members)]) ).

cnf(g15,plain,
    ( ~ environment(sK0)
    | ~ subpopulation(first_movers,sK0,sK1)
    | ~ greater(cardinality_at_time(first_movers,sK1),zero)
    | ~ in_environment(sK0,sK1)
    | ~ decreases(cardinality_at_time(first_movers,sK1))
    | greater(zero,growth_rate(first_movers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate)]) ).

cnf(g16,plain,
    ( ~ environment(sK0)
    | ~ subpopulation(first_movers,sK0,sK1)
    | ~ greater(cardinality_at_time(first_movers,sK1),zero)
    | ~ in_environment(sK0,sK1)
    | ~ constant(cardinality_at_time(first_movers,sK1))
    | sPE(growth_rate(first_movers,sK1),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate)]) ).

cnf(g17,plain,
    ( ~ environment(sK0)
    | ~ subpopulation(efficient_producers,sK0,sK1)
    | ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
    | ~ in_environment(sK0,sK1)
    | ~ increases(cardinality_at_time(efficient_producers,sK1))
    | greater(growth_rate(efficient_producers,sK1),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate)]) ).

cnf(g18,plain,
    ( ~ sPE(number_of_organizations(sK0,sK1),sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)))
    | ~ constant(number_of_organizations(sK0,sK1))
    | constant(cardinality_at_time(first_movers,sK1))
    | sP0(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1))
    | sP1(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase)]) ).

cnf(g19,plain,
    ( ~ sPE(number_of_organizations(sK0,sK1),sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)))
    | ~ constant(number_of_organizations(sK0,sK1))
    | constant(cardinality_at_time(efficient_producers,sK1))
    | sP0(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1))
    | sP1(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase)]) ).

cnf(g20,plain,
    sPE(first_movers,first_movers),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( decreases(cardinality_at_time(first_movers,sK1))
    | ~ sP1(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase)]) ).

cnf(g22,plain,
    ( increases(cardinality_at_time(first_movers,sK1))
    | ~ sP0(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase)]) ).

cnf(g23,plain,
    ( decreases(cardinality_at_time(efficient_producers,sK1))
    | ~ sP0(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase)]) ).

cnf(g24,plain,
    ( increases(cardinality_at_time(efficient_producers,sK1))
    | ~ sP1(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem  : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.11  % Command  : satcop --statistics %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Thu Jun  9 08:50:22 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.32  % symbols: 21
% 0.15/0.32  % clauses: 41
% 0.15/0.32  % start clauses: 6
% 0.15/0.32  % iterative deepening steps: 99
% 0.15/0.32  % maximum path limit: 3
% 0.15/0.32  % literal attempts: 19632
% 0.15/0.32  % depth failures: 15222
% 0.15/0.32  % regularity failures: 86
% 0.15/0.32  % tautology failures: 1201
% 0.15/0.32  % reductions: 853
% 0.15/0.32  % extensions: 18221
% 0.15/0.32  % SAT variables: 2850
% 0.15/0.32  % SAT clauses: 2981
% 0.15/0.32  % WalkSAT solutions: 2973
% 0.15/0.32  % CDCL solutions: 0
% 0.15/0.32  % SZS status Theorem for theBenchmark
% 0.15/0.32  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------