%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT036-2 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 06:18:44 AM UTC 2026
% Result : Unsatisfiable 0.39s 0.64s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 32 ( 14 unt; 0 nHn; 25 RR)
% Number of literals : 64 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_t5_12,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_12) ).
cnf(prove_t5_14,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_14) ).
cnf(prove_t5_13,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_13) ).
cnf(mp_symmetry_of_subpopulations_1,axiom,
( ~ environment(X6)
| ~ subpopulations(X7,X8,X6,X5)
| subpopulations(X8,X7,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).
cnf(c0,plain,
( ~ environment(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(resolution,[status(thm)],[mp_symmetry_of_subpopulations_1,prove_t5_13]) ).
cnf(c1,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(resolution,[status(thm)],[c0,prove_t5_12]) ).
cnf(d2_8,plain,
( ~ environment(X18)
| ~ subpopulations(X19,X20,X18,X17)
| ~ outcompetes(X20,X19,X17)
| greater_or_equal(growth_rate(X20,X17),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_8) ).
cnf(c5,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[status(thm)],[d2_8,c1]) ).
cnf(c9,plain,
( ~ environment(sk1)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[status(thm)],[c5,prove_t5_14]) ).
cnf(c12,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(resolution,[status(thm)],[c9,prove_t5_12]) ).
cnf(mp_growth_rate_relationships_5,axiom,
( ~ greater_or_equal(growth_rate(X15,X16),zero)
| ~ greater(zero,growth_rate(X15,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_5) ).
cnf(mp_growth_rate_relationships_3,axiom,
( environment(X2)
| ~ greater(zero,growth_rate(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_3) ).
cnf(d2_9,plain,
( ~ environment(X22)
| ~ subpopulations(X23,X24,X22,X21)
| ~ outcompetes(X24,X23,X21)
| greater(zero,growth_rate(X23,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_9) ).
cnf(c7,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[status(thm)],[d2_9,c1]) ).
cnf(c13,plain,
( ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[status(thm)],[c7,prove_t5_14]) ).
cnf(c14,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(resolution,[status(thm)],[c13,prove_t5_12]) ).
cnf(c15,plain,
environment(X33),
inference(resolution,[status(thm)],[c14,mp_growth_rate_relationships_3]) ).
cnf(mp_time_point_occur_2,axiom,
( ~ environment(X13)
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| in_environment(X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_2) ).
cnf(mp_growth_rate_relationships_4,axiom,
( subpopulations(X10,X11,X12,X9)
| ~ greater(zero,growth_rate(X10,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_4) ).
cnf(c17,plain,
subpopulations(efficient_producers,X35,X34,sk2),
inference(resolution,[status(thm)],[c14,mp_growth_rate_relationships_4]) ).
cnf(c21,plain,
( ~ environment(X37)
| subpopulations(X36,efficient_producers,X37,sk2) ),
inference(resolution,[status(thm)],[c17,mp_symmetry_of_subpopulations_1]) ).
cnf(c23,plain,
subpopulations(X43,efficient_producers,X42,sk2),
inference(resolution,[status(thm)],[c21,c15]) ).
cnf(c26,plain,
( ~ environment(X44)
| in_environment(X44,sk2) ),
inference(resolution,[status(thm)],[c23,mp_time_point_occur_2]) ).
cnf(c30,plain,
in_environment(X45,sk2),
inference(resolution,[status(thm)],[c26,c15]) ).
cnf(a2_10,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_10) ).
cnf(a13_11,plain,
( ~ environment(X39)
| ~ in_environment(X39,X40)
| greater(zero,growth_rate(X41,X40))
| ~ greater(resilience(X38),resilience(X41))
| ~ greater(zero,growth_rate(X38,X40)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_11) ).
cnf(c24,plain,
( ~ environment(X105)
| ~ in_environment(X105,sk2)
| greater(zero,growth_rate(X104,sk2))
| ~ greater(resilience(efficient_producers),resilience(X104)) ),
inference(resolution,[status(thm)],[a13_11,c14]) ).
cnf(c69,plain,
( ~ environment(X113)
| ~ in_environment(X113,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[status(thm)],[c24,a2_10]) ).
cnf(c77,plain,
( ~ environment(X114)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[status(thm)],[c69,c30]) ).
cnf(c78,plain,
greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[status(thm)],[c77,c15]) ).
cnf(c84,plain,
~ greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(resolution,[status(thm)],[c78,mp_growth_rate_relationships_5]) ).
cnf(c94,plain,
$false,
inference(resolution,[status(thm)],[c84,c12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT036-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 12:41:15 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.41 (re.compile("\."), Token.FullStop),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.41 (re.compile("\("), Token.OpenPar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.41 (re.compile("\)"), Token.ClosePar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.41 (re.compile("\["), Token.OpenSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("~\|"), Token.Nor),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("\|"), Token.Or),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.41 (re.compile("\?"), Token.Existential),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.48 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.48 """
% 0.23/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.32/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 0.39/0.64 % Version: 1.5
% 0.39/0.64 % SZS status Unsatisfiable
% 0.39/0.64 % SZS output start CNFRefutation
% See solution above
% 0.39/0.64
% 0.39/0.64 % Initial clauses : 14
% 0.39/0.64 % Processed clauses : 55
% 0.39/0.64 % Factors computed : 0
% 0.39/0.64 % Resolvents computed: 96
% 0.39/0.64 % Tautologies deleted: 1
% 0.39/0.64 % Forward subsumed : 20
% 0.39/0.64 % Backward subsumed : 24
% 0.39/0.64 % -------- CPU Time ---------
% 0.39/0.64 % User time : 0.268 s
% 0.39/0.64 % System time : 0.018 s
% 0.39/0.64 % Total time : 0.286 s
%------------------------------------------------------------------------------