%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT023-1 : 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 06:18:41 AM UTC 2026
% Result : Unsatisfiable 0.40s 0.67s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of clauses : 43 ( 11 unt; 20 nHn; 42 RR)
% Number of literals : 113 ( 27 equ; 46 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_l5_25,negated_conjecture,
~ in_environment(sk3,critical_point(sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_25) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(prove_l5_23,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_23) ).
cnf(prove_l5_24,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_24) ).
cnf(l12_20,plain,
( ~ environment(X16)
| ~ stable(X16)
| in_environment(X16,sk2(X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_20) ).
cnf(c12,plain,
( ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(resolution,[status(thm)],[l12_20,prove_l5_24]) ).
cnf(c17,plain,
in_environment(sk3,sk2(sk3)),
inference(resolution,[status(thm)],[c12,prove_l5_23]) ).
cnf(c6,axiom,
( X38 != X37
| X36 != X39
| ~ in_environment(X38,X36)
| in_environment(X37,X39) ),
theory(equality) ).
cnf(c20,plain,
( sk3 != X41
| sk2(sk3) != X40
| in_environment(X41,X40) ),
inference(resolution,[status(thm)],[c6,c17]) ).
cnf(l12_21,plain,
( ~ environment(X31)
| ~ stable(X31)
| ~ greater(growth_rate(efficient_producers,sk2(X31)),growth_rate(first_movers,sk2(X31))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_21) ).
cnf(d1_19,plain,
( ~ environment(X26)
| greater(growth_rate(efficient_producers,X25),growth_rate(first_movers,X25))
| ~ in_environment(X26,X25)
| ~ greater(growth_rate(efficient_producers,sk1(X25,X26)),growth_rate(first_movers,sk1(X25,X26)))
| X25 = critical_point(X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_19) ).
cnf(d1_18,plain,
( ~ environment(X15)
| greater(growth_rate(efficient_producers,X14),growth_rate(first_movers,X14))
| ~ in_environment(X15,X14)
| greater(sk1(X14,X15),X14)
| X14 = critical_point(X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_18) ).
cnf(c18,plain,
( ~ environment(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c17,d1_18]) ).
cnf(c31,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c18,prove_l5_23]) ).
cnf(c33,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = critical_point(sk3)
| ~ environment(sk3)
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c31,l12_21]) ).
cnf(c48,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = critical_point(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c33,prove_l5_24]) ).
cnf(c49,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c48,prove_l5_23]) ).
cnf(c57,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk3 != X77
| in_environment(X77,critical_point(sk3)) ),
inference(resolution,[status(thm)],[c49,c20]) ).
cnf(c78,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| in_environment(sk3,critical_point(sk3)) ),
inference(resolution,[status(thm)],[c57,reflexivity]) ).
cnf(c83,plain,
greater(sk1(sk2(sk3),sk3),sk2(sk3)),
inference(resolution,[status(thm)],[c78,prove_l5_25]) ).
cnf(l12_22,plain,
( ~ environment(X44)
| ~ stable(X44)
| ~ subpopulations(first_movers,efficient_producers,X44,X43)
| ~ greater(X43,sk2(X44))
| greater(growth_rate(efficient_producers,X43),growth_rate(first_movers,X43)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_22) ).
cnf(d1_17,plain,
( ~ environment(X6)
| greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))
| ~ in_environment(X6,X5)
| subpopulations(first_movers,efficient_producers,X6,sk1(X5,X6))
| X5 = critical_point(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_17) ).
cnf(c19,plain,
( ~ environment(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c17,d1_17]) ).
cnf(c77,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c19,prove_l5_23]) ).
cnf(c88,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = critical_point(sk3)
| ~ environment(sk3)
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c77,l12_21]) ).
cnf(c105,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = critical_point(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c88,prove_l5_24]) ).
cnf(c106,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c105,prove_l5_23]) ).
cnf(c116,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk3 != X112
| in_environment(X112,critical_point(sk3)) ),
inference(resolution,[status(thm)],[c106,c20]) ).
cnf(c137,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| in_environment(sk3,critical_point(sk3)) ),
inference(resolution,[status(thm)],[c116,reflexivity]) ).
cnf(c143,plain,
subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)),
inference(resolution,[status(thm)],[c137,prove_l5_25]) ).
cnf(c144,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ greater(sk1(sk2(sk3),sk3),sk2(sk3))
| greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,[status(thm)],[c143,l12_22]) ).
cnf(c151,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,[status(thm)],[c144,c83]) ).
cnf(c152,plain,
( ~ environment(sk3)
| greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,[status(thm)],[c151,prove_l5_24]) ).
cnf(c153,plain,
greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))),
inference(resolution,[status(thm)],[c152,prove_l5_23]) ).
cnf(c155,plain,
( ~ environment(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c153,d1_19]) ).
cnf(c158,plain,
( ~ environment(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c155,c17]) ).
cnf(c159,plain,
( greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| sk2(sk3) = critical_point(sk3) ),
inference(resolution,[status(thm)],[c158,prove_l5_23]) ).
cnf(c161,plain,
( sk2(sk3) = critical_point(sk3)
| ~ environment(sk3)
| ~ stable(sk3) ),
inference(resolution,[status(thm)],[c159,l12_21]) ).
cnf(c176,plain,
( sk2(sk3) = critical_point(sk3)
| ~ environment(sk3) ),
inference(resolution,[status(thm)],[c161,prove_l5_24]) ).
cnf(c177,plain,
sk2(sk3) = critical_point(sk3),
inference(resolution,[status(thm)],[c176,prove_l5_23]) ).
cnf(c187,plain,
( sk3 != X169
| in_environment(X169,critical_point(sk3)) ),
inference(resolution,[status(thm)],[c177,c20]) ).
cnf(c204,plain,
in_environment(sk3,critical_point(sk3)),
inference(resolution,[status(thm)],[c187,reflexivity]) ).
cnf(c207,plain,
$false,
inference(resolution,[status(thm)],[c204,prove_l5_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 12:04:56 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.42 (re.compile("\."), Token.FullStop),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.42 (re.compile("\("), Token.OpenPar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.42 (re.compile("\)"), Token.ClosePar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.42 (re.compile("\["), Token.OpenSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("~\|"), Token.Nor),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.24/0.48 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.48 """
% 0.24/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.49 """
% 0.24/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.58 """
% 0.40/0.67 % Version: 1.5
% 0.40/0.67 % SZS status Unsatisfiable
% 0.40/0.67 % SZS output start CNFRefutation
% See solution above
% 0.40/0.67
% 0.40/0.67 % Initial clauses : 21
% 0.40/0.67 % Processed clauses : 70
% 0.40/0.67 % Factors computed : 3
% 0.40/0.67 % Resolvents computed: 197
% 0.40/0.67 % Tautologies deleted: 4
% 0.40/0.67 % Forward subsumed : 98
% 0.40/0.67 % Backward subsumed : 26
% 0.40/0.67 % -------- CPU Time ---------
% 0.40/0.67 % User time : 0.288 s
% 0.40/0.67 % System time : 0.025 s
% 0.40/0.67 % Total time : 0.312 s
%------------------------------------------------------------------------------