%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT036-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 0.34s 0.60s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 12 unt; 0 nHn; 26 RR)
% Number of literals : 58 ( 0 equ; 32 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 : 25 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_t5_12,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_12) ).
cnf(prove_t5_14,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_14) ).
cnf(prove_t5_13,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_13) ).
cnf(mp_symmetry_of_FM_and_EP_1,axiom,
( ~ environment(X5)
| ~ subpopulations(first_movers,efficient_producers,X5,X6)
| subpopulations(efficient_producers,first_movers,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_FM_and_EP_1) ).
cnf(c0,plain,
( ~ environment(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(resolution,[status(thm)],[mp_symmetry_of_FM_and_EP_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(X15)
| ~ subpopulations(X17,X16,X15,X18)
| ~ outcompetes(X16,X17,X18)
| greater_or_equal(growth_rate(X16,X18),zero) ),
file('/export/starexec/sandbox/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(c8,plain,
( ~ environment(sk1)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[status(thm)],[c5,prove_t5_14]) ).
cnf(c11,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(resolution,[status(thm)],[c8,prove_t5_12]) ).
cnf(mp_growth_rate_relationships_5,axiom,
( ~ greater_or_equal(growth_rate(X13,X14),zero)
| ~ greater(zero,growth_rate(X13,X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_5) ).
cnf(mp_growth_rate_relationships_3,axiom,
( environment(X2)
| ~ greater(zero,growth_rate(X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_3) ).
cnf(d2_9,plain,
( ~ environment(X19)
| ~ subpopulations(X21,X20,X19,X22)
| ~ outcompetes(X20,X21,X22)
| greater(zero,growth_rate(X21,X22)) ),
file('/export/starexec/sandbox/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(c12,plain,
( ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[status(thm)],[c7,prove_t5_14]) ).
cnf(c13,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(resolution,[status(thm)],[c12,prove_t5_12]) ).
cnf(c17,plain,
environment(X31),
inference(resolution,[status(thm)],[c13,mp_growth_rate_relationships_3]) ).
cnf(mp_time_point_occur_2,axiom,
( ~ environment(X11)
| ~ subpopulations(first_movers,efficient_producers,X11,X12)
| in_environment(X11,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur_2) ).
cnf(c2,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolution,[status(thm)],[mp_time_point_occur_2,prove_t5_13]) ).
cnf(c3,plain,
in_environment(sk1,sk2),
inference(resolution,[status(thm)],[c2,prove_t5_12]) ).
cnf(a2_11,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_11) ).
cnf(a12_10,plain,
( ~ environment(X36)
| ~ in_environment(X36,X38)
| greater(zero,growth_rate(X37,X38))
| ~ greater(resilience(X39),resilience(X37))
| ~ greater(zero,growth_rate(X39,X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_10) ).
cnf(c22,plain,
( ~ environment(X47)
| ~ in_environment(X47,sk2)
| greater(zero,growth_rate(X48,sk2))
| ~ greater(resilience(efficient_producers),resilience(X48)) ),
inference(resolution,[status(thm)],[a12_10,c13]) ).
cnf(c24,plain,
( ~ environment(X49)
| ~ in_environment(X49,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[status(thm)],[c22,a2_11]) ).
cnf(c25,plain,
( ~ environment(sk1)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[status(thm)],[c24,c3]) ).
cnf(c26,plain,
greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[status(thm)],[c25,c17]) ).
cnf(c30,plain,
~ greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(resolution,[status(thm)],[c26,mp_growth_rate_relationships_5]) ).
cnf(c37,plain,
$false,
inference(resolution,[status(thm)],[c30,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.07/0.35 % Computer : n007.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 12:38:11 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.41 (re.compile("\("), Token.OpenPar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.41 (re.compile("\)"), Token.ClosePar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.41 (re.compile("\["), Token.OpenSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("~\|"), Token.Nor),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("\|"), Token.Or),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.41 (re.compile("\?"), Token.Existential),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.13/0.48 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.48 """
% 0.24/0.48 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.48 """
% 0.34/0.57 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.34/0.57 """
% 0.34/0.60 % Version: 1.5
% 0.34/0.60 % SZS status Unsatisfiable
% 0.34/0.60 % SZS output start CNFRefutation
% See solution above
% 0.34/0.60
% 0.34/0.60 % Initial clauses : 14
% 0.34/0.60 % Processed clauses : 40
% 0.34/0.60 % Factors computed : 0
% 0.34/0.60 % Resolvents computed: 38
% 0.34/0.60 % Tautologies deleted: 0
% 0.34/0.60 % Forward subsumed : 6
% 0.34/0.60 % Backward subsumed : 15
% 0.34/0.60 % -------- CPU Time ---------
% 0.34/0.60 % User time : 0.231 s
% 0.34/0.60 % System time : 0.023 s
% 0.34/0.60 % Total time : 0.254 s
%------------------------------------------------------------------------------