TSTP Solution File: MGT027+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n021.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 22:24:21 EDT 2022

% Result   : Theorem 0.20s 0.44s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    environment(sK2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9)]) ).

cnf(g1,plain,
    stable(sK2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9)]) ).

cnf(g2,plain,
    ( ~ environment(sK2)
    | ~ stable(sK2)
    | in_environment(sK2,appear(efficient_producers,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_EP_in_stable_environments)]) ).

cnf(g3,plain,
    ( ~ environment(sK2)
    | ~ stable(sK2)
    | greater(sK1(sK2),appear(efficient_producers,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10)]) ).

cnf(g4,plain,
    ( ~ greater(sK1(sK2),appear(efficient_producers,sK2))
    | ~ contracts_from(sK1(sK2),first_movers) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9)]) ).

cnf(g5,plain,
    ( ~ environment(sK2)
    | ~ stable(sK2)
    | ~ in_environment(sK2,sK1(sK2))
    | ~ greater(zero,growth_rate(first_movers,sK0(sK2,sK1(sK2))))
    | contracts_from(sK1(sK2),first_movers) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from)]) ).

cnf(g6,plain,
    ( ~ environment(sK2)
    | ~ stable(sK2)
    | ~ in_environment(sK2,sK1(sK2))
    | greater(cardinality_at_time(first_movers,sK0(sK2,sK1(sK2))),zero)
    | contracts_from(sK1(sK2),first_movers) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from)]) ).

cnf(g7,plain,
    ( ~ environment(sK2)
    | ~ stable(sK2)
    | ~ in_environment(sK2,sK1(sK2))
    | greater_or_equal(sK0(sK2,sK1(sK2)),sK1(sK2))
    | contracts_from(sK1(sK2),first_movers) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from)]) ).

cnf(g8,plain,
    ( ~ environment(sK2)
    | ~ stable(sK2)
    | ~ in_environment(sK2,appear(efficient_producers,sK2))
    | ~ greater(sK1(sK2),appear(efficient_producers,sK2))
    | in_environment(sK2,sK1(sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_long_stable_environments)]) ).

cnf(g9,plain,
    ( ~ environment(sK2)
    | ~ stable(sK2)
    | ~ greater_or_equal(sK0(sK2,sK1(sK2)),sK1(sK2))
    | ~ subpopulations(first_movers,efficient_producers,sK2,sK0(sK2,sK1(sK2)))
    | greater(zero,growth_rate(first_movers,sK0(sK2,sK1(sK2)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10)]) ).

cnf(g10,plain,
    ( ~ environment(sK2)
    | ~ in_environment(sK2,sK0(sK2,sK1(sK2)))
    | ~ greater(cardinality_at_time(first_movers,sK0(sK2,sK1(sK2))),zero)
    | ~ greater(cardinality_at_time(efficient_producers,sK0(sK2,sK1(sK2))),zero)
    | subpopulations(first_movers,efficient_producers,sK2,sK0(sK2,sK1(sK2))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep)]) ).

cnf(g11,plain,
    sPE(appear(efficient_producers,sK2),appear(efficient_producers,sK2)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ greater_or_equal(sK0(sK2,sK1(sK2)),sK1(sK2))
    | sPE(sK0(sK2,sK1(sK2)),sK1(sK2))
    | greater(sK0(sK2,sK1(sK2)),sK1(sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).

cnf(g13,plain,
    ( ~ environment(sK2)
    | ~ in_environment(sK2,sK0(sK2,sK1(sK2)))
    | ~ greater_or_equal(sK0(sK2,sK1(sK2)),appear(efficient_producers,sK2))
    | greater(cardinality_at_time(efficient_producers,sK0(sK2,sK1(sK2))),zero) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6)]) ).

cnf(g14,plain,
    ( ~ greater(sK0(sK2,sK1(sK2)),appear(efficient_producers,sK2))
    | greater_or_equal(sK0(sK2,sK1(sK2)),appear(efficient_producers,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).

cnf(g15,plain,
    ( ~ greater(sK0(sK2,sK1(sK2)),sK1(sK2))
    | ~ greater(sK1(sK2),appear(efficient_producers,sK2))
    | greater(sK0(sK2,sK1(sK2)),appear(efficient_producers,sK2)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).

cnf(g16,plain,
    ( ~ sPE(sK0(sK2,sK1(sK2)),sK1(sK2))
    | sPE(sK1(sK2),sK0(sK2,sK1(sK2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ environment(sK2)
    | ~ stable(sK2)
    | ~ in_environment(sK2,appear(efficient_producers,sK2))
    | ~ greater(sK0(sK2,sK1(sK2)),appear(efficient_producers,sK2))
    | in_environment(sK2,sK0(sK2,sK1(sK2))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_long_stable_environments)]) ).

cnf(g18,plain,
    ( ~ sPE(sK1(sK2),sK0(sK2,sK1(sK2)))
    | ~ sPE(appear(efficient_producers,sK2),appear(efficient_producers,sK2))
    | ~ greater(sK1(sK2),appear(efficient_producers,sK2))
    | greater(sK0(sK2,sK1(sK2)),appear(efficient_producers,sK2)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n021.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  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 11:41:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  % symbols: 18
% 0.20/0.44  % clauses: 31
% 0.20/0.44  % start clauses: 3
% 0.20/0.44  % iterative deepening steps: 315
% 0.20/0.44  % maximum path limit: 4
% 0.20/0.44  % literal attempts: 219384
% 0.20/0.44  % depth failures: 158185
% 0.20/0.44  % regularity failures: 3945
% 0.20/0.44  % tautology failures: 8302
% 0.20/0.44  % reductions: 2579
% 0.20/0.44  % extensions: 215938
% 0.20/0.44  % SAT variables: 8202
% 0.20/0.44  % SAT clauses: 12040
% 0.20/0.44  % WalkSAT solutions: 12039
% 0.20/0.44  % CDCL solutions: 0
% 0.20/0.44  % SZS status Theorem for theBenchmark
% 0.20/0.44  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------