%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : MGT026+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %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 06:19:19 AM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : Proof 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
environment(sK0),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8)]) ).
cnf(g1,plain,
in_environment(sK0,sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8)]) ).
cnf(g2,plain,
greater(sK1,critical_point(sK0)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8)]) ).
cnf(g3,plain,
~ selection_favors(efficient_producers,first_movers,sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l8)]) ).
cnf(g4,plain,
( ~ environment(sK0)
| greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_after_EP)]) ).
cnf(g5,plain,
( ~ environment(sK0)
| ~ in_environment(sK0,sK1)
| subpopulation(efficient_producers,sK0,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations)]) ).
cnf(g6,plain,
( ~ environment(sK0)
| ~ greater(cardinality_at_time(first_movers,sK1),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
| ~ in_environment(sK0,sK1)
| subpopulations(first_movers,efficient_producers,sK0,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep)]) ).
cnf(g7,plain,
( ~ environment(sK0)
| ~ in_environment(sK0,sK1)
| greater_or_equal(cardinality_at_time(first_movers,sK1),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_exist)]) ).
cnf(g8,plain,
( ~ environment(sK0)
| ~ in_environment(sK0,sK1)
| subpopulation(first_movers,sK0,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations)]) ).
cnf(g9,plain,
( ~ environment(sK0)
| ~ in_environment(sK0,sK1)
| ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
| greater(cardinality_at_time(efficient_producers,sK1),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6)]) ).
cnf(g10,plain,
( ~ sPE(critical_point(sK0),critical_point(sK0))
| ~ environment(sK0)
| ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ greater(sK1,critical_point(sK0))
| greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1)]) ).
cnf(g11,plain,
( ~ sPE(cardinality_at_time(first_movers,sK1),zero)
| ~ environment(sK0)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
| ~ subpopulation(efficient_producers,sK0,sK1)
| ~ subpopulation(first_movers,sK0,sK1)
| selection_favors(efficient_producers,first_movers,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_favour_members)]) ).
cnf(g12,plain,
( ~ environment(sK0)
| ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| selection_favors(efficient_producers,first_movers,sK1) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates)]) ).
cnf(g13,plain,
( ~ greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0))
| sPE(critical_point(sK0),appear(efficient_producers,sK0))
| greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g14,plain,
sPE(critical_point(sK0),critical_point(sK0)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ greater_or_equal(cardinality_at_time(first_movers,sK1),zero)
| sPE(cardinality_at_time(first_movers,sK1),zero)
| greater(cardinality_at_time(first_movers,sK1),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g16,plain,
( ~ greater(sK1,appear(efficient_producers,sK0))
| greater_or_equal(sK1,appear(efficient_producers,sK0)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g17,plain,
sPE(sK1,sK1),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ greater(sK1,critical_point(sK0))
| ~ greater(critical_point(sK0),appear(efficient_producers,sK0))
| greater(sK1,appear(efficient_producers,sK0)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g19,plain,
( ~ sPE(sK1,sK1)
| ~ sPE(critical_point(sK0),appear(efficient_producers,sK0))
| ~ greater(sK1,critical_point(sK0))
| greater(sK1,appear(efficient_producers,sK0)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT026+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 7 12:14:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % symbols: 18
% 0.09/0.38 % clauses: 32
% 0.09/0.38 % start clauses: 4
% 0.09/0.38 % iterative deepening steps: 99
% 0.09/0.38 % maximum path limit: 3
% 0.09/0.38 % literal attempts: 20380
% 0.09/0.38 % depth failures: 13652
% 0.09/0.38 % regularity failures: 482
% 0.09/0.38 % tautology failures: 674
% 0.09/0.38 % reductions: 608
% 0.09/0.38 % extensions: 19403
% 0.09/0.38 % SAT variables: 2485
% 0.09/0.38 % SAT clauses: 3459
% 0.09/0.38 % WalkSAT solutions: 3454
% 0.09/0.38 % CDCL solutions: 0
% 0.09/0.38 % SZS status Theorem for theBenchmark
% 0.09/0.38 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------