%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT020-1 : 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 06:11:21 AM UTC 2026
% Result : Unsatisfiable 2.67s 0.79s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_l2_33ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(11,plain,
environment(sk1),
inference(cnf,[status(esa)],[prove_l2_33]) ).
cnf(l0,plain,
environment(sk1),
inference(instantiation,[status(thm)],[11]) ).
cnf(4,plain,
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1) ),
inference(cnf,[status(esa)],[mp_time_point_occurs_26]) ).
cnf(l1,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ environment(X0)
| ~ in_environment(X0,initial_FM_EP(X0))
| subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) ),
inference(cnf,[status(esa)],[mp_earliest_time_point_23]) ).
cnf(l3,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,initial_FM_EP(sk1))
| subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(12,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf,[status(esa)],[prove_l2_34]) ).
cnf(l286,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(instantiation,[status(thm)],[12]) ).
cnf(8,plain,
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf,[status(esa)],[mp_greater_or_equal_30]) ).
cnf(l288,plain,
( ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1)
| greater(sk2,initial_FM_EP(sk1)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
( ~ greater(X0,X1)
| ~ environment(X2)
| ~ greater_or_equal(X1,start_time(X2))
| ~ in_environment(X2,X0)
| in_environment(X2,X1) ),
inference(cnf,[status(esa)],[mp_times_in_order_28]) ).
cnf(l290,plain,
( ~ greater(sk2,initial_FM_EP(sk1))
| ~ environment(sk1)
| ~ greater_or_equal(initial_FM_EP(sk1),start_time(sk1))
| ~ in_environment(sk1,sk2)
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
( ~ environment(X0)
| greater_or_equal(initial_FM_EP(X0),start_time(X0)) ),
inference(cnf,[status(esa)],[mp_initial_time_27]) ).
cnf(l292,plain,
( ~ environment(sk1)
| greater_or_equal(initial_FM_EP(sk1),start_time(sk1)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,initial_FM_EP(X0)) ),
inference(cnf,[status(esa)],[mp_earliest_time_point_24]) ).
cnf(l293,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater_or_equal(sk2,initial_FM_EP(sk1)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(cnf,[status(esa)],[l3_22]) ).
cnf(l5,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| ~ decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l298,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(instantiation,[status(thm)],[12]) ).
cnf(l296,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,initial_FM_EP(sk1))
| subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
( ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ environment(X1)
| ~ greater_or_equal(X2,X0)
| ~ greater_or_equal(X3,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(cnf,[status(esa)],[mp_positive_function_difference_25]) ).
cnf(l14,plain,
( ~ greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))
| ~ environment(sk1)
| ~ greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1))
| ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l291,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| in_environment(sk1,sk2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(13,plain,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
inference(cnf,[status(esa)],[prove_l2_35]) ).
cnf(l369,plain,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
inference(instantiation,[status(thm)],[13]) ).
cnf(l297,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(instantiation,[status(thm)],[12]) ).
cnf(l370,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater_or_equal(sk2,initial_FM_EP(sk1)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l383,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(instantiation,[status(thm)],[12]) ).
cnf(l385,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(instantiation,[status(thm)],[12]) ).
cnf(9,plain,
( ~ environment(X0)
| greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0))) ),
inference(cnf,[status(esa)],[a8_31]) ).
cnf(l18,plain,
( ~ environment(sk1)
| greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l31,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l286,l288,l290,l292,l293,l5,l298,l296,l14,l291,l369,l297,l370,l383,l385,l18,l31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT020-1 : 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
% 0.09/0.36 % Computer : n011.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 12:01:45 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % launching worker at depth: 2
% 0.09/0.36 % launching worker at depth: 6
% 0.09/0.36 % launching worker at depth: 1
% 0.09/0.36 % launching worker at depth: 4
% 0.09/0.36 % launching worker at depth: 5
% 0.09/0.36 % launching worker at depth: 7
% 0.09/0.36 % launching worker at depth: 8
% 0.09/0.36 % launching worker at depth: 3
% 0.09/0.37 % launching worker at depth: 9
% 0.09/0.37 % launching worker at depth: 10
% 0.09/0.40 % launching worker at depth: 11
% 2.67/0.79 % SZS status Theorem for theBenchmark
% 2.67/0.79 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------