TSTP Solution File: MGT028-1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : MGT028-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : Thu May  9 17:33:09 EDT 2024

% Result   : Unsatisfiable 0.52s 0.68s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   59 (  12 unt;  26 nHn;  59 RR)
%            Number of literals    :  184 (   0 equ;  99 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_l10_10,negated_conjecture,
    environment(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_10) ).

cnf(prove_l10_11,negated_conjecture,
    stable(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_11) ).

cnf(l11_7,plain,
    ( ~ environment(X2)
    | ~ stable(X2)
    | in_environment(X2,sk3(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_7) ).

cnf(c0,plain,
    ( ~ environment(sk4)
    | in_environment(sk4,sk3(sk4)) ),
    inference(resolution,[status(thm)],[l11_7,prove_l10_11]) ).

cnf(c1,plain,
    in_environment(sk4,sk3(sk4)),
    inference(resolution,[status(thm)],[c0,prove_l10_10]) ).

cnf(mp_first_movers_negative_growth_5,axiom,
    ( ~ environment(X18)
    | ~ stable(X18)
    | ~ in_environment(X18,X17)
    | ~ greater(zero,growth_rate(first_movers,sk1(X17,X18)))
    | greater(sk2(X18),appear(efficient_producers,X18)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_5) ).

cnf(mp_first_movers_negative_growth_2,axiom,
    ( ~ environment(X9)
    | ~ stable(X9)
    | ~ in_environment(X9,X8)
    | greater_or_equal(sk1(X8,X9),X8)
    | greater(sk2(X9),appear(efficient_producers,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_2) ).

cnf(c3,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolution,[status(thm)],[mp_first_movers_negative_growth_2,c1]) ).

cnf(c4,plain,
    ( ~ environment(sk4)
    | greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolution,[status(thm)],[c3,prove_l10_11]) ).

cnf(c5,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolution,[status(thm)],[c4,prove_l10_10]) ).

cnf(prove_l10_14,negated_conjecture,
    ( ~ greater(X7,appear(efficient_producers,sk4))
    | ~ greater(zero,growth_rate(first_movers,sk5(X7))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_14) ).

cnf(prove_l10_13,negated_conjecture,
    ( ~ greater(X5,appear(efficient_producers,sk4))
    | greater_or_equal(sk5(X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_13) ).

cnf(c6,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater_or_equal(sk5(sk2(sk4)),sk2(sk4)) ),
    inference(resolution,[status(thm)],[c5,prove_l10_13]) ).

cnf(mp_first_movers_negative_growth_4,axiom,
    ( ~ environment(X20)
    | ~ stable(X20)
    | ~ in_environment(X20,X19)
    | greater_or_equal(sk1(X19,X20),X19)
    | ~ subpopulations(first_movers,efficient_producers,X20,X21)
    | ~ greater_or_equal(X21,sk2(X20))
    | greater(zero,growth_rate(first_movers,X21)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_4) ).

cnf(prove_l10_12,negated_conjecture,
    ( ~ greater(X6,appear(efficient_producers,sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_12) ).

cnf(c7,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
    inference(resolution,[status(thm)],[c5,prove_l10_12]) ).

cnf(c10,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ environment(sk4)
    | ~ stable(sk4)
    | ~ in_environment(sk4,X26)
    | greater_or_equal(sk1(X26,sk4),X26)
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c7,mp_first_movers_negative_growth_4]) ).

cnf(c48,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ environment(sk4)
    | ~ stable(sk4)
    | ~ in_environment(sk4,X27)
    | greater_or_equal(sk1(X27,sk4),X27)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c10,c6]) ).

cnf(c49,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ environment(sk4)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c48,c1]) ).

cnf(c50,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ environment(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c49,prove_l10_11]) ).

cnf(c51,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c50,prove_l10_10]) ).

cnf(c52,plain,
    ( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolution,[status(thm)],[c51,prove_l10_14]) ).

cnf(c53,plain,
    greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
    inference(resolution,[status(thm)],[c52,c5]) ).

cnf(l11_9,plain,
    ( ~ environment(X16)
    | ~ stable(X16)
    | ~ subpopulations(first_movers,efficient_producers,X16,X15)
    | ~ greater_or_equal(X15,sk3(X16))
    | greater(zero,growth_rate(first_movers,X15)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_9) ).

cnf(mp_first_movers_negative_growth_1,axiom,
    ( ~ environment(X4)
    | ~ stable(X4)
    | ~ in_environment(X4,X3)
    | subpopulations(first_movers,efficient_producers,X4,sk1(X3,X4))
    | greater(sk2(X4),appear(efficient_producers,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_1) ).

cnf(c2,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolution,[status(thm)],[mp_first_movers_negative_growth_1,c1]) ).

cnf(c12,plain,
    ( ~ environment(sk4)
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolution,[status(thm)],[c2,prove_l10_11]) ).

cnf(c13,plain,
    ( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolution,[status(thm)],[c12,prove_l10_10]) ).

cnf(c17,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | ~ environment(sk4)
    | ~ stable(sk4)
    | ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolution,[status(thm)],[c13,l11_9]) ).

cnf(c56,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | ~ environment(sk4)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolution,[status(thm)],[c17,c53]) ).

cnf(c57,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | ~ environment(sk4)
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolution,[status(thm)],[c56,prove_l10_11]) ).

cnf(c58,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolution,[status(thm)],[c57,prove_l10_10]) ).

cnf(c61,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | ~ environment(sk4)
    | ~ stable(sk4)
    | ~ in_environment(sk4,sk3(sk4)) ),
    inference(resolution,[status(thm)],[c58,mp_first_movers_negative_growth_5]) ).

cnf(c65,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | ~ environment(sk4)
    | ~ stable(sk4) ),
    inference(resolution,[status(thm)],[c61,c1]) ).

cnf(c66,plain,
    ( greater(sk2(sk4),appear(efficient_producers,sk4))
    | ~ environment(sk4) ),
    inference(resolution,[status(thm)],[c65,prove_l10_11]) ).

cnf(c67,plain,
    greater(sk2(sk4),appear(efficient_producers,sk4)),
    inference(resolution,[status(thm)],[c66,prove_l10_10]) ).

cnf(c69,plain,
    greater_or_equal(sk5(sk2(sk4)),sk2(sk4)),
    inference(resolution,[status(thm)],[c67,prove_l10_13]) ).

cnf(c68,plain,
    subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
    inference(resolution,[status(thm)],[c67,prove_l10_12]) ).

cnf(mp_first_movers_negative_growth_6,axiom,
    ( ~ environment(X23)
    | ~ stable(X23)
    | ~ in_environment(X23,X22)
    | ~ greater(zero,growth_rate(first_movers,sk1(X22,X23)))
    | ~ subpopulations(first_movers,efficient_producers,X23,X24)
    | ~ greater_or_equal(X24,sk2(X23))
    | greater(zero,growth_rate(first_movers,X24)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_6) ).

cnf(mp_first_movers_negative_growth_3,axiom,
    ( ~ environment(X13)
    | ~ stable(X13)
    | ~ in_environment(X13,X12)
    | subpopulations(first_movers,efficient_producers,X13,sk1(X12,X13))
    | ~ subpopulations(first_movers,efficient_producers,X13,X14)
    | ~ greater_or_equal(X14,sk2(X13))
    | greater(zero,growth_rate(first_movers,X14)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_3) ).

cnf(c71,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | ~ in_environment(sk4,X34)
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X34,sk4))
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c68,mp_first_movers_negative_growth_3]) ).

cnf(c76,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | ~ in_environment(sk4,X36)
    | subpopulations(first_movers,efficient_producers,sk4,sk1(X36,sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c71,c69]) ).

cnf(c77,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c76,c1]) ).

cnf(c78,plain,
    ( ~ environment(sk4)
    | subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c77,prove_l10_11]) ).

cnf(c79,plain,
    ( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c78,prove_l10_10]) ).

cnf(c84,plain,
    ( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
    | ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
    inference(resolution,[status(thm)],[c79,prove_l10_14]) ).

cnf(c85,plain,
    subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
    inference(resolution,[status(thm)],[c84,c67]) ).

cnf(c89,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolution,[status(thm)],[c85,l11_9]) ).

cnf(c93,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolution,[status(thm)],[c89,c53]) ).

cnf(c94,plain,
    ( ~ environment(sk4)
    | greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
    inference(resolution,[status(thm)],[c93,prove_l10_11]) ).

cnf(c95,plain,
    greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))),
    inference(resolution,[status(thm)],[c94,prove_l10_10]) ).

cnf(c97,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | ~ in_environment(sk4,sk3(sk4))
    | ~ subpopulations(first_movers,efficient_producers,sk4,X40)
    | ~ greater_or_equal(X40,sk2(sk4))
    | greater(zero,growth_rate(first_movers,X40)) ),
    inference(resolution,[status(thm)],[c95,mp_first_movers_negative_growth_6]) ).

cnf(c99,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | ~ in_environment(sk4,sk3(sk4))
    | ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c97,c68]) ).

cnf(c100,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | ~ in_environment(sk4,sk3(sk4))
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c99,c69]) ).

cnf(c101,plain,
    ( ~ environment(sk4)
    | ~ stable(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c100,c1]) ).

cnf(c102,plain,
    ( ~ environment(sk4)
    | greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
    inference(resolution,[status(thm)],[c101,prove_l10_11]) ).

cnf(c103,plain,
    greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))),
    inference(resolution,[status(thm)],[c102,prove_l10_10]) ).

cnf(c104,plain,
    ~ greater(sk2(sk4),appear(efficient_producers,sk4)),
    inference(resolution,[status(thm)],[c103,prove_l10_14]) ).

cnf(c105,plain,
    $false,
    inference(resolution,[status(thm)],[c104,c67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : MGT028-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu May  9 01:04:08 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.52/0.68  % Version:  1.5
% 0.52/0.68  % SZS status Unsatisfiable
% 0.52/0.68  % SZS output start CNFRefutation
% See solution above
% 0.52/0.68  
% 0.52/0.68  % Initial clauses    : 14
% 0.52/0.68  % Processed clauses  : 79
% 0.52/0.68  % Factors computed   : 0
% 0.52/0.68  % Resolvents computed: 106
% 0.52/0.68  % Tautologies deleted: 0
% 0.52/0.68  % Forward subsumed   : 25
% 0.52/0.68  % Backward subsumed  : 53
% 0.52/0.68  % -------- CPU Time ---------
% 0.52/0.68  % User time          : 0.298 s
% 0.52/0.68  % System time        : 0.015 s
% 0.52/0.68  % Total time         : 0.313 s
%------------------------------------------------------------------------------