%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : MGT029-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n005.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 : Unsatisfiable 12.06s 1.93s
% Output : Proof 12.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
environment(sk3),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11_36)]) ).
cnf(g1,plain,
stable(sk3),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11_37)]) ).
cnf(g2,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| in_environment(sk3,sk2(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_34)]) ).
cnf(g3,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_35)]) ).
cnf(g4,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| in_environment(sk3,sk1(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_32)]) ).
cnf(g5,plain,
( ~ in_environment(sk3,sk2(sk3))
| greater_or_equal(sk4(sk2(sk3)),sk2(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11_39)]) ).
cnf(g6,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| sPE(sk4(sk2(sk3)),sk2(sk3))
| greater(sk4(sk2(sk3)),sk2(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_21)]) ).
cnf(g7,plain,
( ~ in_environment(sk3,sk1(sk3))
| subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11_38)]) ).
cnf(g8,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3)))
| sPE(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_31)]) ).
cnf(g9,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3)))
| ~ stable(sk3)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_33)]) ).
cnf(g10,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3))
| ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3)))
| sPE(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_24)]) ).
cnf(g11,plain,
( ~ in_environment(sk3,sk1(sk3))
| greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11_39)]) ).
cnf(g12,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| sPE(sk4(sk1(sk3)),sk1(sk3))
| greater(sk4(sk1(sk3)),sk1(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_21)]) ).
cnf(g13,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11_40)]) ).
cnf(g14,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| sPE(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_31)]) ).
cnf(g15,plain,
( ~ in_environment(sk3,sk2(sk3))
| subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11_38)]) ).
cnf(g16,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk1(sk3))
| ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| ~ stable(sk3)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_33)]) ).
cnf(g17,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| sPE(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_24)]) ).
cnf(g18,plain,
( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| sPE(sk2(sk3),equilibrium(sk3))
| greater(sk2(sk3),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_21)]) ).
cnf(g19,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11_40)]) ).
cnf(g20,plain,
( ~ greater(sk4(sk1(sk3)),equilibrium(sk3))
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_22)]) ).
cnf(g21,plain,
sPE(sk4(sk1(sk3)),sk4(sk1(sk3))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
sPE(sk1(sk3),sk1(sk3)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
sPE(sk4(sk2(sk3)),sk4(sk2(sk3))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_19)]) ).
cnf(g25,plain,
( ~ greater(sk4(sk2(sk3)),equilibrium(sk3))
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_22)]) ).
cnf(g26,plain,
( ~ greater(sk4(sk2(sk3)),sk1(sk3))
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_22)]) ).
cnf(g27,plain,
sPE(equilibrium(sk3),equilibrium(sk3)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ in_environment(sk3,sk1(sk3))
| sPE(sk1(sk3),sk2(sk3))
| greater(sk2(sk3),sk1(sk3))
| greater(sk1(sk3),sk2(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_environment_20)]) ).
cnf(g29,plain,
( ~ greater(sk1(sk3),sk2(sk3))
| greater_or_equal(sk1(sk3),sk2(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_22)]) ).
cnf(g30,plain,
( ~ greater(sk2(sk3),sk1(sk3))
| greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_22)]) ).
cnf(g31,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_19)]) ).
cnf(g32,plain,
sPE(growth_rate(first_movers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ sPE(growth_rate(first_movers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(sk4(sk1(sk3)),sk4(sk1(sk3)))
| ~ sPE(sk1(sk3),equilibrium(sk3))
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| sPE(sk1(sk3),equilibrium(sk3))
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_21)]) ).
cnf(g36,plain,
( ~ sPE(sk4(sk2(sk3)),sk4(sk2(sk3)))
| ~ sPE(sk2(sk3),equilibrium(sk3))
| ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(sk2(sk3),sk4(sk2(sk3)))
| ~ sPE(equilibrium(sk3),equilibrium(sk3))
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(sk4(sk2(sk3)),sk2(sk3))
| sPE(sk2(sk3),sk4(sk2(sk3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
sPE(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(efficient_producers,sk4(sk1(sk3)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ sPE(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3))))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(sk1(sk3),sk2(sk3))
| sPE(sk2(sk3),sk1(sk3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
sPE(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(efficient_producers,sk4(sk2(sk3)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_19)]) ).
cnf(g44,plain,
sPE(growth_rate(first_movers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ sPE(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ sPE(growth_rate(first_movers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g46,plain,
( ~ greater(sk1(sk3),equilibrium(sk3))
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_22)]) ).
cnf(g47,plain,
( ~ sPE(sk4(sk1(sk3)),sk1(sk3))
| sPE(sk1(sk3),sk4(sk1(sk3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g48,plain,
( ~ sPE(sk2(sk3),sk1(sk3))
| ~ sPE(equilibrium(sk3),equilibrium(sk3))
| ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g49,plain,
( ~ greater(sk4(sk2(sk3)),sk2(sk3))
| ~ greater(sk2(sk3),equilibrium(sk3))
| greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_19)]) ).
cnf(g50,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_19)]) ).
cnf(g51,plain,
( ~ sPE(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ sPE(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3))))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g52,plain,
( ~ greater(sk4(sk2(sk3)),sk2(sk3))
| ~ greater(sk2(sk3),sk1(sk3))
| greater(sk4(sk2(sk3)),sk1(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_19)]) ).
cnf(g53,plain,
( ~ sPE(sk1(sk3),sk4(sk1(sk3)))
| ~ sPE(equilibrium(sk3),equilibrium(sk3))
| ~ greater_or_equal(sk1(sk3),equilibrium(sk3))
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g54,plain,
( ~ greater(sk4(sk1(sk3)),sk1(sk3))
| ~ greater(sk1(sk3),equilibrium(sk3))
| greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_19)]) ).
cnf(g55,plain,
( ~ sPE(sk2(sk3),sk4(sk2(sk3)))
| ~ sPE(sk1(sk3),sk1(sk3))
| ~ greater_or_equal(sk2(sk3),sk1(sk3))
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g56,plain,
( ~ greater(sk1(sk3),sk2(sk3))
| ~ greater(sk2(sk3),equilibrium(sk3))
| greater(sk1(sk3),equilibrium(sk3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_19)]) ).
cnf(g57,plain,
( ~ sPE(sk1(sk3),sk1(sk3))
| ~ sPE(sk2(sk3),equilibrium(sk3))
| ~ greater_or_equal(sk1(sk3),sk2(sk3))
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT029-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 12:16:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 12.06/1.93 % symbols: 17
% 12.06/1.93 % clauses: 36
% 12.06/1.93 % start clauses: 5
% 12.06/1.93 % iterative deepening steps: 953
% 12.06/1.93 % maximum path limit: 4
% 12.06/1.93 % literal attempts: 2857343
% 12.06/1.93 % depth failures: 1894371
% 12.06/1.93 % regularity failures: 156368
% 12.06/1.93 % tautology failures: 179904
% 12.06/1.93 % reductions: 82951
% 12.06/1.93 % extensions: 2771096
% 12.06/1.93 % SAT variables: 18881
% 12.06/1.93 % SAT clauses: 52039
% 12.06/1.93 % WalkSAT solutions: 52020
% 12.06/1.93 % CDCL solutions: 16
% 12.06/1.93 % SZS status Unsatisfiable for theBenchmark
% 12.06/1.93 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------