TSTP Solution File: MGT028-1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : MGT028-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:33:09 EDT 2024
% Result : Unsatisfiable 0.52s 0.68s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 13
% Syntax : Number of clauses : 59 ( 12 unt; 26 nHn; 59 RR)
% Number of literals : 184 ( 0 equ; 99 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_l10_10,negated_conjecture,
environment(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_10) ).
cnf(prove_l10_11,negated_conjecture,
stable(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_11) ).
cnf(l11_7,plain,
( ~ environment(X2)
| ~ stable(X2)
| in_environment(X2,sk3(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_7) ).
cnf(c0,plain,
( ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[l11_7,prove_l10_11]) ).
cnf(c1,plain,
in_environment(sk4,sk3(sk4)),
inference(resolution,[status(thm)],[c0,prove_l10_10]) ).
cnf(mp_first_movers_negative_growth_5,axiom,
( ~ environment(X18)
| ~ stable(X18)
| ~ in_environment(X18,X17)
| ~ greater(zero,growth_rate(first_movers,sk1(X17,X18)))
| greater(sk2(X18),appear(efficient_producers,X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_5) ).
cnf(mp_first_movers_negative_growth_2,axiom,
( ~ environment(X9)
| ~ stable(X9)
| ~ in_environment(X9,X8)
| greater_or_equal(sk1(X8,X9),X8)
| greater(sk2(X9),appear(efficient_producers,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_2) ).
cnf(c3,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[mp_first_movers_negative_growth_2,c1]) ).
cnf(c4,plain,
( ~ environment(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c3,prove_l10_11]) ).
cnf(c5,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c4,prove_l10_10]) ).
cnf(prove_l10_14,negated_conjecture,
( ~ greater(X7,appear(efficient_producers,sk4))
| ~ greater(zero,growth_rate(first_movers,sk5(X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_14) ).
cnf(prove_l10_13,negated_conjecture,
( ~ greater(X5,appear(efficient_producers,sk4))
| greater_or_equal(sk5(X5),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_13) ).
cnf(c6,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater_or_equal(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolution,[status(thm)],[c5,prove_l10_13]) ).
cnf(mp_first_movers_negative_growth_4,axiom,
( ~ environment(X20)
| ~ stable(X20)
| ~ in_environment(X20,X19)
| greater_or_equal(sk1(X19,X20),X19)
| ~ subpopulations(first_movers,efficient_producers,X20,X21)
| ~ greater_or_equal(X21,sk2(X20))
| greater(zero,growth_rate(first_movers,X21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_4) ).
cnf(prove_l10_12,negated_conjecture,
( ~ greater(X6,appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_12) ).
cnf(c7,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolution,[status(thm)],[c5,prove_l10_12]) ).
cnf(c10,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,X26)
| greater_or_equal(sk1(X26,sk4),X26)
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c7,mp_first_movers_negative_growth_4]) ).
cnf(c48,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,X27)
| greater_or_equal(sk1(X27,sk4),X27)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c10,c6]) ).
cnf(c49,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c48,c1]) ).
cnf(c50,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c49,prove_l10_11]) ).
cnf(c51,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c50,prove_l10_10]) ).
cnf(c52,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c51,prove_l10_14]) ).
cnf(c53,plain,
greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
inference(resolution,[status(thm)],[c52,c5]) ).
cnf(l11_9,plain,
( ~ environment(X16)
| ~ stable(X16)
| ~ subpopulations(first_movers,efficient_producers,X16,X15)
| ~ greater_or_equal(X15,sk3(X16))
| greater(zero,growth_rate(first_movers,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_9) ).
cnf(mp_first_movers_negative_growth_1,axiom,
( ~ environment(X4)
| ~ stable(X4)
| ~ in_environment(X4,X3)
| subpopulations(first_movers,efficient_producers,X4,sk1(X3,X4))
| greater(sk2(X4),appear(efficient_producers,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_1) ).
cnf(c2,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[mp_first_movers_negative_growth_1,c1]) ).
cnf(c12,plain,
( ~ environment(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c2,prove_l10_11]) ).
cnf(c13,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c12,prove_l10_10]) ).
cnf(c17,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4)
| ~ stable(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c13,l11_9]) ).
cnf(c56,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c17,c53]) ).
cnf(c57,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c56,prove_l10_11]) ).
cnf(c58,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c57,prove_l10_10]) ).
cnf(c61,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolution,[status(thm)],[c58,mp_first_movers_negative_growth_5]) ).
cnf(c65,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4)
| ~ stable(sk4) ),
inference(resolution,[status(thm)],[c61,c1]) ).
cnf(c66,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4) ),
inference(resolution,[status(thm)],[c65,prove_l10_11]) ).
cnf(c67,plain,
greater(sk2(sk4),appear(efficient_producers,sk4)),
inference(resolution,[status(thm)],[c66,prove_l10_10]) ).
cnf(c69,plain,
greater_or_equal(sk5(sk2(sk4)),sk2(sk4)),
inference(resolution,[status(thm)],[c67,prove_l10_13]) ).
cnf(c68,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(resolution,[status(thm)],[c67,prove_l10_12]) ).
cnf(mp_first_movers_negative_growth_6,axiom,
( ~ environment(X23)
| ~ stable(X23)
| ~ in_environment(X23,X22)
| ~ greater(zero,growth_rate(first_movers,sk1(X22,X23)))
| ~ subpopulations(first_movers,efficient_producers,X23,X24)
| ~ greater_or_equal(X24,sk2(X23))
| greater(zero,growth_rate(first_movers,X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_6) ).
cnf(mp_first_movers_negative_growth_3,axiom,
( ~ environment(X13)
| ~ stable(X13)
| ~ in_environment(X13,X12)
| subpopulations(first_movers,efficient_producers,X13,sk1(X12,X13))
| ~ subpopulations(first_movers,efficient_producers,X13,X14)
| ~ greater_or_equal(X14,sk2(X13))
| greater(zero,growth_rate(first_movers,X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_3) ).
cnf(c71,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,X34)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X34,sk4))
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c68,mp_first_movers_negative_growth_3]) ).
cnf(c76,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,X36)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X36,sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c71,c69]) ).
cnf(c77,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c76,c1]) ).
cnf(c78,plain,
( ~ environment(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c77,prove_l10_11]) ).
cnf(c79,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c78,prove_l10_10]) ).
cnf(c84,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[status(thm)],[c79,prove_l10_14]) ).
cnf(c85,plain,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference(resolution,[status(thm)],[c84,c67]) ).
cnf(c89,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c85,l11_9]) ).
cnf(c93,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c89,c53]) ).
cnf(c94,plain,
( ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[status(thm)],[c93,prove_l10_11]) ).
cnf(c95,plain,
greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(resolution,[status(thm)],[c94,prove_l10_10]) ).
cnf(c97,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X40)
| ~ greater_or_equal(X40,sk2(sk4))
| greater(zero,growth_rate(first_movers,X40)) ),
inference(resolution,[status(thm)],[c95,mp_first_movers_negative_growth_6]) ).
cnf(c99,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4))
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c97,c68]) ).
cnf(c100,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c99,c69]) ).
cnf(c101,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c100,c1]) ).
cnf(c102,plain,
( ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[status(thm)],[c101,prove_l10_11]) ).
cnf(c103,plain,
greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))),
inference(resolution,[status(thm)],[c102,prove_l10_10]) ).
cnf(c104,plain,
~ greater(sk2(sk4),appear(efficient_producers,sk4)),
inference(resolution,[status(thm)],[c103,prove_l10_14]) ).
cnf(c105,plain,
$false,
inference(resolution,[status(thm)],[c104,c67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : MGT028-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 9 01:04:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.52/0.68 % Version: 1.5
% 0.52/0.68 % SZS status Unsatisfiable
% 0.52/0.68 % SZS output start CNFRefutation
% See solution above
% 0.52/0.68
% 0.52/0.68 % Initial clauses : 14
% 0.52/0.68 % Processed clauses : 79
% 0.52/0.68 % Factors computed : 0
% 0.52/0.68 % Resolvents computed: 106
% 0.52/0.68 % Tautologies deleted: 0
% 0.52/0.68 % Forward subsumed : 25
% 0.52/0.68 % Backward subsumed : 53
% 0.52/0.68 % -------- CPU Time ---------
% 0.52/0.68 % User time : 0.298 s
% 0.52/0.68 % System time : 0.015 s
% 0.52/0.68 % Total time : 0.313 s
%------------------------------------------------------------------------------