%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT022-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 06:18:40 AM UTC 2026
% Result : Unsatisfiable 0.32s 0.60s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 8 unt; 4 nHn; 22 RR)
% Number of literals : 49 ( 0 equ; 25 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_constant_not_decrease_1,axiom,
( ~ constant(X2)
| ~ decreases(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_1) ).
cnf(prove_l4_8,negated_conjecture,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_8) ).
cnf(c2,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[prove_l4_8,mp_constant_not_decrease_1]) ).
cnf(prove_l4_9,negated_conjecture,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_9) ).
cnf(prove_l4_5,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_5) ).
cnf(prove_l4_7,negated_conjecture,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_7) ).
cnf(prove_l4_6,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_6) ).
cnf(a2_4,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_4) ).
cnf(a5_2,plain,
( ~ environment(X5)
| ~ subpopulations(X6,X4,X5,X3)
| ~ greater(resilience(X4),resilience(X6))
| ~ decreases(resources(X5,X3))
| increases(difference(disbanding_rate(X6,X3),disbanding_rate(X4,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_2) ).
cnf(c1,plain,
( ~ environment(X11)
| ~ subpopulations(first_movers,efficient_producers,X11,X12)
| ~ decreases(resources(X11,X12))
| increases(difference(disbanding_rate(first_movers,X12),disbanding_rate(efficient_producers,X12))) ),
inference(resolution,[status(thm)],[a5_2,a2_4]) ).
cnf(c6,plain,
( ~ environment(sk1)
| ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[c1,prove_l4_6]) ).
cnf(c8,plain,
( ~ environment(sk1)
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c6,prove_l4_7]) ).
cnf(c9,plain,
( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c8,prove_l4_5]) ).
cnf(c10,plain,
constant(resources(sk1,sk2)),
inference(resolution,[status(thm)],[c9,prove_l4_9]) ).
cnf(c13,plain,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[c10,c2]) ).
cnf(c14,plain,
~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[c13,mp_constant_not_decrease_1]) ).
cnf(a5_3,plain,
( ~ environment(X9)
| ~ subpopulations(X10,X8,X9,X7)
| ~ greater(resilience(X8),resilience(X10))
| ~ constant(resources(X9,X7))
| constant(difference(disbanding_rate(X10,X7),disbanding_rate(X8,X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5_3) ).
cnf(c5,plain,
( ~ environment(X14)
| ~ subpopulations(first_movers,efficient_producers,X14,X13)
| ~ constant(resources(X14,X13))
| constant(difference(disbanding_rate(first_movers,X13),disbanding_rate(efficient_producers,X13))) ),
inference(resolution,[status(thm)],[a5_3,a2_4]) ).
cnf(c15,plain,
( ~ environment(sk1)
| ~ constant(resources(sk1,sk2))
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[c5,prove_l4_6]) ).
cnf(c16,plain,
( ~ environment(sk1)
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[c15,c10]) ).
cnf(c17,plain,
constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[c16,prove_l4_5]) ).
cnf(c18,plain,
$false,
inference(resolution,[status(thm)],[c17,c14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT022-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.35 % Computer : n029.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 12:06:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.41 (re.compile("\("), Token.OpenPar),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.41 (re.compile("\)"), Token.ClosePar),
% 0.13/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.41 (re.compile("\["), Token.OpenSquare),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("~\|"), Token.Nor),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox2/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/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.48 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.22/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.32/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 0.32/0.60 % Version: 1.5
% 0.32/0.60 % SZS status Unsatisfiable
% 0.32/0.60 % SZS output start CNFRefutation
% See solution above
% 0.32/0.60
% 0.32/0.60 % Initial clauses : 10
% 0.32/0.60 % Processed clauses : 23
% 0.32/0.60 % Factors computed : 0
% 0.32/0.60 % Resolvents computed: 19
% 0.32/0.60 % Tautologies deleted: 1
% 0.32/0.60 % Forward subsumed : 3
% 0.32/0.60 % Backward subsumed : 10
% 0.32/0.60 % -------- CPU Time ---------
% 0.32/0.60 % User time : 0.220 s
% 0.32/0.60 % System time : 0.027 s
% 0.32/0.60 % Total time : 0.247 s
%------------------------------------------------------------------------------