%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT021-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 0.38s 0.64s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 10 unt; 4 nHn; 30 RR)
% Number of literals : 70 ( 0 equ; 41 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_increase_not_decrease_29,axiom,
( ~ increases(X3)
| ~ decreases(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_increase_not_decrease_29) ).
cnf(prove_l3_37,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_37) ).
cnf(c26,plain,
~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[prove_l3_37,mp_increase_not_decrease_29]) ).
cnf(prove_l3_35,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_35) ).
cnf(prove_l3_36,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l3_36) ).
cnf(l4_33,plain,
( ~ environment(X54)
| ~ subpopulations(first_movers,efficient_producers,X54,X53)
| ~ decreases(resources(X54,X53))
| increases(difference(disbanding_rate(first_movers,X53),disbanding_rate(efficient_producers,X53))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_33) ).
cnf(c32,plain,
( ~ environment(sk1)
| ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[l4_33,prove_l3_36]) ).
cnf(mp_time_point_in_environment_27,axiom,
( ~ environment(X8)
| ~ subpopulations(first_movers,efficient_producers,X8,X7)
| in_environment(X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_in_environment_27) ).
cnf(c14,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolution,[status(thm)],[prove_l3_36,mp_time_point_in_environment_27]) ).
cnf(c20,plain,
in_environment(sk1,sk2),
inference(resolution,[status(thm)],[c14,prove_l3_35]) ).
cnf(a3_31,plain,
( ~ environment(X34)
| ~ in_environment(X34,X33)
| ~ greater(number_of_organizations(X34,X33),zero)
| ~ greater(equilibrium(X34),X33)
| decreases(resources(X34,X33)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_31) ).
cnf(mp_environment_not_empty_28,axiom,
( ~ environment(X16)
| ~ subpopulations(first_movers,efficient_producers,X16,X15)
| greater(number_of_organizations(X16,X15),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_not_empty_28) ).
cnf(c17,plain,
( ~ environment(sk1)
| greater(number_of_organizations(sk1,sk2),zero) ),
inference(resolution,[status(thm)],[mp_environment_not_empty_28,prove_l3_36]) ).
cnf(c24,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(resolution,[status(thm)],[c17,prove_l3_35]) ).
cnf(c25,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ greater(equilibrium(sk1),sk2)
| decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c24,a3_31]) ).
cnf(l4_34,plain,
( ~ environment(X66)
| ~ subpopulations(first_movers,efficient_producers,X66,X65)
| ~ constant(resources(X66,X65))
| ~ decreases(difference(disbanding_rate(first_movers,X65),disbanding_rate(efficient_producers,X65))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_34) ).
cnf(c37,plain,
( ~ environment(X116)
| ~ subpopulations(first_movers,efficient_producers,X116,sk2)
| ~ constant(resources(X116,sk2)) ),
inference(resolution,[status(thm)],[l4_34,prove_l3_37]) ).
cnf(c53,plain,
( ~ environment(sk1)
| ~ constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c37,prove_l3_36]) ).
cnf(a3_32,plain,
( ~ environment(X41)
| ~ in_environment(X41,X40)
| ~ greater(number_of_organizations(X41,X40),zero)
| greater(equilibrium(X41),X40)
| constant(resources(X41,X40)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_32) ).
cnf(c28,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[a3_32,c24]) ).
cnf(c54,plain,
( ~ environment(sk1)
| greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c28,c20]) ).
cnf(c55,plain,
( greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c54,prove_l3_35]) ).
cnf(c58,plain,
( greater(equilibrium(sk1),sk2)
| ~ environment(sk1) ),
inference(resolution,[status(thm)],[c55,c53]) ).
cnf(c59,plain,
greater(equilibrium(sk1),sk2),
inference(resolution,[status(thm)],[c58,prove_l3_35]) ).
cnf(c61,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c59,c25]) ).
cnf(c64,plain,
( ~ environment(sk1)
| decreases(resources(sk1,sk2)) ),
inference(resolution,[status(thm)],[c61,c20]) ).
cnf(c65,plain,
decreases(resources(sk1,sk2)),
inference(resolution,[status(thm)],[c64,prove_l3_35]) ).
cnf(c66,plain,
( ~ environment(sk1)
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[c65,c32]) ).
cnf(c69,plain,
increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[c66,prove_l3_35]) ).
cnf(c70,plain,
$false,
inference(resolution,[status(thm)],[c69,c26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT021-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 7 12:06:15 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.43 (re.compile("\."), Token.FullStop),
% 0.12/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.43 (re.compile("\("), Token.OpenPar),
% 0.12/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.43 (re.compile("\)"), Token.ClosePar),
% 0.12/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.43 (re.compile("\["), Token.OpenSquare),
% 0.12/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.43 (re.compile("~\|"), Token.Nor),
% 0.12/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.43 (re.compile("\|"), Token.Or),
% 0.12/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.44 (re.compile("\?"), Token.Existential),
% 0.12/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.44 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.44 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.50 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.50 """
% 0.21/0.51 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.51 """
% 0.31/0.60 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.60 """
% 0.38/0.64 % Version: 1.5
% 0.38/0.64 % SZS status Unsatisfiable
% 0.38/0.64 % SZS output start CNFRefutation
% See solution above
% 0.38/0.64
% 0.38/0.64 % Initial clauses : 27
% 0.38/0.64 % Processed clauses : 62
% 0.38/0.64 % Factors computed : 5
% 0.38/0.64 % Resolvents computed: 53
% 0.38/0.64 % Tautologies deleted: 6
% 0.38/0.64 % Forward subsumed : 13
% 0.38/0.64 % Backward subsumed : 11
% 0.38/0.64 % -------- CPU Time ---------
% 0.38/0.64 % User time : 0.243 s
% 0.38/0.64 % System time : 0.025 s
% 0.38/0.64 % Total time : 0.268 s
%------------------------------------------------------------------------------