%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 06:11:22 AM UTC 2026
% Result : Unsatisfiable 6.61s 1.29s
% Output : CNFRefutation 6.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_l5_23ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(6,plain,
environment(sk3),
inference(cnf,[status(esa)],[prove_l5_23]) ).
cnf(l0,plain,
environment(sk3),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
( ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ greater(X1,sk2(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf,[status(esa)],[l12_22]) ).
cnf(l1,plain,
( ~ stable(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| ~ environment(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(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| X1 = critical_point(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf,[status(esa)],[d1_17]) ).
cnf(l311,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ environment(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = critical_point(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| X1 = critical_point(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf,[status(esa)],[d1_19]) ).
cnf(l4,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ environment(sk3)
| ~ greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| sk2(sk3) = critical_point(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(7,plain,
stable(sk3),
inference(cnf,[status(esa)],[prove_l5_24]) ).
cnf(l2,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(1,plain,
( ~ in_environment(X0,X1)
| ~ environment(X0)
| X1 = critical_point(X0)
| greater(sk1(X1,X0),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf,[status(esa)],[d1_18]) ).
cnf(l8,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ environment(sk3)
| sk2(sk3) = critical_point(sk3)
| greater(sk1(sk2(sk3),sk3),sk2(sk3))
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
inference(cnf,[status(esa)],[l12_20]) ).
cnf(l21,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l27,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(l320,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
( ~ stable(X0)
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
inference(cnf,[status(esa)],[l12_21]) ).
cnf(l34,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l162,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l54,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(l16,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l62,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(l312,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| ~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l520,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(l163,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(l44,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l338,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
~ in_environment(sk3,critical_point(sk3)),
inference(cnf,[status(esa)],[prove_l5_25]) ).
cnf(l92,plain,
~ in_environment(sk3,critical_point(sk3)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l183,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l297,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(l187,plain,
~ in_environment(sk3,critical_point(sk3)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l45,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(l543,plain,
~ in_environment(sk3,critical_point(sk3)),
inference(instantiation,[status(thm)],[8]) ).
cnf(l329,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l580,plain,
stable(sk3),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l311,l4,l2,l8,l21,l27,l320,l34,l162,l54,l16,l62,l312,l520,l163,l44,l338,l92,l183,l297,l187,l45,l543,l329,l580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 7 12:07:00 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.37 % launching worker at depth: 2
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 8
% 0.11/0.37 % launching worker at depth: 9
% 0.11/0.37 % launching worker at depth: 10
% 0.11/0.38 % launching worker at depth: 11
% 0.99/0.50 % launching worker at depth: 12
% 6.61/1.29 % SZS status Theorem for theBenchmark
% 6.61/1.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------