%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT028-1 : TPTP v9.3.0. 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:18:42 AM UTC 2026
% Result : Unsatisfiable 0.40s 0.65s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% 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(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(c15,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)],[c15,c5]) ).
cnf(c61,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(c62,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c61,prove_l10_10]) ).
cnf(c65,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c62,mp_first_movers_negative_growth_5]) ).
cnf(c69,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4)
| ~ stable(sk4) ),
inference(resolution,[status(thm)],[c65,c1]) ).
cnf(c70,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c69,prove_l10_11]) ).
cnf(c71,plain,
greater(sk2(sk4),appear(efficient_producers,sk4)),
inference(resolution,[status(thm)],[c70,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(c72,plain,
greater_or_equal(sk5(sk2(sk4)),sk2(sk4)),
inference(resolution,[status(thm)],[c71,prove_l10_13]) ).
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(c73,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(resolution,[status(thm)],[c71,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(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(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,X25)
| greater_or_equal(sk1(X25,sk4),X25)
| ~ 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(c36,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)],[c36,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(c58,plain,
greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
inference(resolution,[status(thm)],[c52,c5]) ).
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(c77,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)],[c73,mp_first_movers_negative_growth_3]) ).
cnf(c80,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,X35)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X35,sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c77,c72]) ).
cnf(c81,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)],[c80,c1]) ).
cnf(c82,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)],[c81,prove_l10_11]) ).
cnf(c83,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c82,prove_l10_10]) ).
cnf(c88,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c83,prove_l10_14]) ).
cnf(c89,plain,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference(resolution,[status(thm)],[c88,c71]) ).
cnf(c91,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)],[c89,l11_9]) ).
cnf(c97,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c91,c58]) ).
cnf(c98,plain,
( ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c97,prove_l10_11]) ).
cnf(c99,plain,
greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(resolution,[status(thm)],[c98,prove_l10_10]) ).
cnf(c101,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X39)
| ~ greater_or_equal(X39,sk2(sk4))
| greater(zero,growth_rate(first_movers,X39)) ),
inference(resolution,[status(thm)],[c99,mp_first_movers_negative_growth_6]) ).
cnf(c103,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)],[c101,c73]) ).
cnf(c104,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c103,c72]) ).
cnf(c105,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c104,c1]) ).
cnf(c106,plain,
( ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c105,prove_l10_11]) ).
cnf(c107,plain,
greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))),
inference(resolution,[status(thm)],[c106,prove_l10_10]) ).
cnf(c108,plain,
~ greater(sk2(sk4),appear(efficient_producers,sk4)),
inference(resolution,[status(thm)],[c107,prove_l10_14]) ).
cnf(c109,plain,
$false,
inference(resolution,[status(thm)],[c108,c71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT028-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.34 % Computer : n020.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 7 12:16:13 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.15/0.40 (re.compile("\."), Token.FullStop),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.15/0.40 (re.compile("\("), Token.OpenPar),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.15/0.40 (re.compile("\)"), Token.ClosePar),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.15/0.40 (re.compile("\["), Token.OpenSquare),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.15/0.40 (re.compile("\]"), Token.CloseSquare),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.40 (re.compile("~\|"), Token.Nor),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.40 (re.compile("\|"), Token.Or),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.15/0.40 (re.compile("\?"), Token.Existential),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.15/0.40 (re.compile("\s+"), Token.WhiteSpace),
% 0.15/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.15/0.40 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.47 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.47 """
% 0.23/0.47 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.47 """
% 0.33/0.56 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.56 """
% 0.40/0.65 % Version: 1.5
% 0.40/0.65 % SZS status Unsatisfiable
% 0.40/0.65 % SZS output start CNFRefutation
% See solution above
% 0.40/0.65
% 0.40/0.65 % Initial clauses : 14
% 0.40/0.65 % Processed clauses : 79
% 0.40/0.65 % Factors computed : 0
% 0.40/0.65 % Resolvents computed: 110
% 0.40/0.65 % Tautologies deleted: 0
% 0.40/0.65 % Forward subsumed : 29
% 0.40/0.65 % Backward subsumed : 53
% 0.40/0.65 % -------- CPU Time ---------
% 0.40/0.65 % User time : 0.271 s
% 0.40/0.65 % System time : 0.032 s
% 0.40/0.65 % Total time : 0.304 s
%------------------------------------------------------------------------------