%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT036-3 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 0.32s 0.59s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 8 unt; 0 nHn; 16 RR)
% Number of literals : 32 ( 0 equ; 19 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a13_star_5,plain,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_5) ).
cnf(a13_star_6,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_6) ).
cnf(prove_t5_star_9,negated_conjecture,
( ~ environment(X11)
| ~ subpopulations(first_movers,efficient_producers,X11,X10)
| ~ outcompetes(first_movers,efficient_producers,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_star_9) ).
cnf(c4,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[status(thm)],[prove_t5_star_9,a13_star_6]) ).
cnf(mp_symmetry_of_subpopulations_1,axiom,
( ~ environment(X4)
| ~ subpopulations(X2,X3,X4,X5)
| subpopulations(X3,X2,X4,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,a13_star_6]) ).
cnf(c2,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(resolution,[status(thm)],[c0,a13_star_5]) ).
cnf(a13_star_7,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_7) ).
cnf(a13_star_8,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_8) ).
cnf(d2_2,plain,
( ~ environment(X8)
| ~ subpopulations(X6,X7,X8,X9)
| ~ greater_or_equal(growth_rate(X7,X9),zero)
| ~ greater(zero,growth_rate(X6,X9))
| outcompetes(X7,X6,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_2) ).
cnf(c1,plain,
( ~ environment(X20)
| ~ subpopulations(efficient_producers,X21,X20,sk2)
| ~ greater_or_equal(growth_rate(X21,sk2),zero)
| outcompetes(X21,efficient_producers,sk2) ),
inference(resolution,[status(thm)],[d2_2,a13_star_8]) ).
cnf(c9,plain,
( ~ environment(X22)
| ~ subpopulations(efficient_producers,first_movers,X22,sk2)
| outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[status(thm)],[c1,a13_star_7]) ).
cnf(c10,plain,
( ~ environment(sk1)
| outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[status(thm)],[c9,c2]) ).
cnf(c11,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(resolution,[status(thm)],[c10,a13_star_5]) ).
cnf(c12,plain,
~ environment(sk1),
inference(resolution,[status(thm)],[c11,c4]) ).
cnf(c13,plain,
$false,
inference(resolution,[status(thm)],[c12,a13_star_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT036-3 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 12:42:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.40 /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),
% 0.22/0.47 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.47 """
% 0.22/0.48 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.32/0.57 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.57 """
% 0.32/0.59 % Version: 1.5
% 0.32/0.59 % SZS status Unsatisfiable
% 0.32/0.59 % SZS output start CNFRefutation
% See solution above
% 0.32/0.59
% 0.32/0.59 % Initial clauses : 9
% 0.32/0.59 % Processed clauses : 19
% 0.32/0.59 % Factors computed : 0
% 0.32/0.59 % Resolvents computed: 14
% 0.32/0.59 % Tautologies deleted: 0
% 0.32/0.59 % Forward subsumed : 3
% 0.32/0.59 % Backward subsumed : 6
% 0.32/0.59 % -------- CPU Time ---------
% 0.32/0.59 % User time : 0.214 s
% 0.32/0.59 % System time : 0.027 s
% 0.32/0.59 % Total time : 0.241 s
%------------------------------------------------------------------------------