%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT019-2 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:19:47 AM UTC 2026
% Result : Satisfiable 0.25s 0.51s
% Output : Saturation 0.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 31ERROR: Could not build tree for root 32ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(32,plain,
( ~ greater_or_equal(sk5(u),sk3(sk4))
| ~ greater_or_equal(disbanding_rate(first_movers,sk5(u)),disbanding_rate(efficient_producers,sk5(u)))
| ~ in_environment(sk4,u)
| equal(disbanding_rate(efficient_producers,sk5(u)),disbanding_rate(first_movers,sk5(u))) ),
inference(obv,[status(thm),theory(equality)],[31]),
[iquote('0:Obv:31.0')] ).
cnf(25,plain,
( ~ greater_or_equal(disbanding_rate(first_movers,sk5(u)),disbanding_rate(efficient_producers,sk5(u)))
| ~ greater_or_equal(founding_rate(efficient_producers,sk5(u)),founding_rate(first_movers,sk5(u)))
| ~ in_environment(sk4,u)
| equal(disbanding_rate(efficient_producers,sk5(u)),disbanding_rate(first_movers,sk5(u))) ),
inference(res,[status(thm),theory(equality)],[5,24]),
[iquote('0:Res:5.2,24.1')] ).
cnf(29,plain,
( ~ in_environment(sk4,u)
| ~ greater_or_equal(sk5(u),sk3(sk4))
| greater_or_equal(founding_rate(efficient_producers,sk5(u)),founding_rate(first_movers,sk5(u))) ),
inference(ssi,[status(thm)],[27,9,8]),
[iquote('0:SSi:27.1,27.0,9.0,8.0,9.0,8.0')] ).
cnf(28,plain,
( ~ stable(sk1)
| ~ greater_or_equal(sk2,sk3(sk1))
| greater_or_equal(founding_rate(efficient_producers,sk2),founding_rate(first_movers,sk2)) ),
inference(ssi,[status(thm)],[26,1]),
[iquote('0:SSi:26.1,1.0')] ).
cnf(7,axiom,
( ~ stable(u)
| ~ environment(u)
| ~ greater_or_equal(v,sk3(u))
| ~ subpopulations(first_movers,efficient_producers,u,v)
| greater_or_equal(founding_rate(efficient_producers,v),founding_rate(first_movers,v)) ),
file('MGT019-2.p',unknown),
[] ).
cnf(24,plain,
( ~ greater_or_equal(founding_rate(efficient_producers,sk5(u)),founding_rate(first_movers,sk5(u)))
| ~ greater(disbanding_rate(first_movers,sk5(u)),disbanding_rate(efficient_producers,sk5(u)))
| ~ in_environment(sk4,u) ),
inference(res,[status(thm),theory(equality)],[4,12]),
[iquote('0:Res:4.2,12.1')] ).
cnf(4,axiom,
( ~ greater_or_equal(founding_rate(efficient_producers,u),founding_rate(first_movers,u))
| ~ greater(disbanding_rate(first_movers,u),disbanding_rate(efficient_producers,u))
| greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u)) ),
file('MGT019-2.p',unknown),
[] ).
cnf(23,plain,
( ~ greater_or_equal(growth_rate(efficient_producers,sk5(u)),growth_rate(first_movers,sk5(u)))
| ~ in_environment(sk4,u)
| equal(growth_rate(efficient_producers,sk5(u)),growth_rate(first_movers,sk5(u))) ),
inference(res,[status(thm),theory(equality)],[5,12]),
[iquote('0:Res:5.2,12.1')] ).
cnf(18,plain,
( ~ greater_or_equal(u,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,u)
| greater_or_equal(founding_rate(efficient_producers,u),founding_rate(first_movers,u)) ),
inference(mrr,[status(thm)],[15,9]),
[iquote('0:MRR:15.0,9.0')] ).
cnf(22,plain,
( ~ greater_or_equal(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))
| equal(disbanding_rate(efficient_producers,sk2),disbanding_rate(first_movers,sk2)) ),
inference(res,[status(thm),theory(equality)],[5,3]),
[iquote('0:Res:5.2,3.0')] ).
cnf(12,axiom,
( ~ in_environment(sk4,u)
| ~ greater(growth_rate(efficient_producers,sk5(u)),growth_rate(first_movers,sk5(u))) ),
file('MGT019-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ greater_or_equal(u,v)
| equal(u,v)
| greater(u,v) ),
file('MGT019-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ stable(u)
| ~ environment(u)
| in_environment(u,sk3(u)) ),
file('MGT019-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ in_environment(sk4,u)
| subpopulations(first_movers,efficient_producers,sk4,sk5(u)) ),
file('MGT019-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ in_environment(sk4,u)
| greater_or_equal(sk5(u),u) ),
file('MGT019-2.p',unknown),
[] ).
cnf(3,axiom,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
file('MGT019-2.p',unknown),
[] ).
cnf(2,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('MGT019-2.p',unknown),
[] ).
cnf(17,plain,
in_environment(sk4,sk3(sk4)),
inference(mrr,[status(thm)],[14,8]),
[iquote('0:MRR:14.0,8.0')] ).
cnf(1,axiom,
environment(sk1),
file('MGT019-2.p',unknown),
[] ).
cnf(8,axiom,
environment(sk4),
file('MGT019-2.p',unknown),
[] ).
cnf(9,axiom,
stable(sk4),
file('MGT019-2.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT019-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.10/0.36 % Computer : n028.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 12:02:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.25/0.51
% 0.25/0.51 SPASS V 3.9
% 0.25/0.51 SPASS beiseite: Completion found.
% 0.25/0.51 % SZS status CounterSatisfiable
% 0.25/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.51 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 21 clauses.
% 0.25/0.51 SPASS allocated 75628 KBytes.
% 0.25/0.51 SPASS spent 0:00:00.12 on the problem.
% 0.25/0.51 0:00:00.06 for the input.
% 0.25/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.25/0.51 0:00:00.00 for inferences.
% 0.25/0.51 0:00:00.00 for the backtracking.
% 0.25/0.51 0:00:00.00 for the reduction.
% 0.25/0.51
% 0.25/0.51
% 0.25/0.51 The saturated set of worked-off clauses is :
% 0.25/0.51 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------