%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : MGT032+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n027.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 06:19:20 AM UTC 2026
% Result : Theorem 0.10s 0.37s
% Output : Proof 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
environment(sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1)]) ).
cnf(g1,plain,
stable(sK1),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1)]) ).
cnf(g2,plain,
( ~ environment(sK1)
| ~ stable(sK1)
| in_environment(sK1,sK0(sK1)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1)]) ).
cnf(g3,plain,
( ~ in_environment(sK1,sK0(sK1))
| subpopulations(first_movers,efficient_producers,sK1,sK2(sK0(sK1))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1)]) ).
cnf(g4,plain,
( ~ environment(sK1)
| ~ subpopulations(first_movers,efficient_producers,sK1,sK2(sK0(sK1)))
| ~ stable(sK1)
| ~ greater_or_equal(sK2(sK0(sK1)),sK0(sK1))
| greater(growth_rate(efficient_producers,sK2(sK0(sK1))),growth_rate(first_movers,sK2(sK0(sK1)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1)]) ).
cnf(g5,plain,
( ~ environment(sK1)
| ~ subpopulations(first_movers,efficient_producers,sK1,sK2(sK0(sK1)))
| ~ greater(growth_rate(efficient_producers,sK2(sK0(sK1))),growth_rate(first_movers,sK2(sK0(sK1))))
| selection_favors(efficient_producers,first_movers,sK2(sK0(sK1))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates)]) ).
cnf(g6,plain,
( ~ in_environment(sK1,sK0(sK1))
| greater_or_equal(sK2(sK0(sK1)),sK0(sK1)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1)]) ).
cnf(g7,plain,
( ~ selection_favors(efficient_producers,first_movers,sK2(sK0(sK1)))
| ~ in_environment(sK1,sK0(sK1)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT032+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : satcop --statistics %s
% 0.10/0.36 % Computer : n027.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 12:25:15 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % symbols: 15
% 0.10/0.37 % clauses: 8
% 0.10/0.37 % start clauses: 5
% 0.10/0.37 % iterative deepening steps: 16
% 0.10/0.37 % maximum path limit: 1
% 0.10/0.37 % literal attempts: 213
% 0.10/0.37 % depth failures: 119
% 0.10/0.37 % regularity failures: 0
% 0.10/0.37 % tautology failures: 0
% 0.10/0.37 % reductions: 0
% 0.10/0.37 % extensions: 146
% 0.10/0.37 % SAT variables: 131
% 0.10/0.37 % SAT clauses: 103
% 0.10/0.37 % WalkSAT solutions: 96
% 0.10/0.37 % CDCL solutions: 0
% 0.10/0.37 % SZS status Theorem for theBenchmark
% 0.10/0.37 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------