%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : MGT035+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n002.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 3.50s 0.89s
% Output : Proof 3.50s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
environment(sK2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4)]) ).
cnf(g1,plain,
stable(sK2),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4)]) ).
cnf(g2,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| in_environment(sK2,sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1)]) ).
cnf(g3,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| greater_or_equal(sK1(sK2),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4)]) ).
cnf(g4,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| in_environment(sK2,sK1(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4)]) ).
cnf(g5,plain,
( ~ in_environment(sK2,sK0(sK2))
| greater_or_equal(sK3(sK0(sK2)),sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4)]) ).
cnf(g6,plain,
( ~ greater_or_equal(sK3(sK0(sK2)),sK0(sK2))
| sPE(sK3(sK0(sK2)),sK0(sK2))
| greater(sK3(sK0(sK2)),sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g7,plain,
( ~ greater_or_equal(sK3(sK0(sK2)),sK0(sK2))
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK3(sK0(sK2)))
| ~ stable(sK2)
| greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1)]) ).
cnf(g8,plain,
( ~ in_environment(sK2,sK1(sK2))
| greater_or_equal(sK3(sK1(sK2)),sK1(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4)]) ).
cnf(g9,plain,
( ~ in_environment(sK2,sK1(sK2))
| subpopulations(first_movers,efficient_producers,sK2,sK3(sK1(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4)]) ).
cnf(g10,plain,
( ~ in_environment(sK2,sK1(sK2))
| ~ outcompetes(efficient_producers,first_movers,sK3(sK1(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4)]) ).
cnf(g11,plain,
( ~ in_environment(sK2,sK0(sK2))
| subpopulations(first_movers,efficient_producers,sK2,sK3(sK0(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4)]) ).
cnf(g12,plain,
( ~ in_environment(sK2,sK0(sK2))
| ~ outcompetes(efficient_producers,first_movers,sK3(sK0(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4)]) ).
cnf(g13,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| sPE(sK1(sK2),equilibrium(sK2))
| greater(sK1(sK2),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g14,plain,
( ~ greater(zero,growth_rate(first_movers,sK3(sK0(sK2))))
| ~ greater_or_equal(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK3(sK0(sK2)))
| outcompetes(efficient_producers,first_movers,sK3(sK0(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2)]) ).
cnf(g15,plain,
( greater(zero,growth_rate(first_movers,sK3(sK0(sK2))))
| ~ sP1(sK3(sK0(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g16,plain,
( ~ greater(sK3(sK0(sK2)),equilibrium(sK2))
| greater_or_equal(sK3(sK0(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g17,plain,
( ~ greater_or_equal(sK3(sK0(sK2)),equilibrium(sK2))
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK3(sK0(sK2)))
| sPE(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| sP0(sK3(sK0(sK2)))
| sP1(sK3(sK0(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g18,plain,
sPE(sK3(sK0(sK2)),sK3(sK0(sK2))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
sPE(efficient_producers,efficient_producers),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
sPE(sK2,sK2),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ greater_or_equal(sK3(sK1(sK2)),sK1(sK2))
| sPE(sK3(sK1(sK2)),sK1(sK2))
| greater(sK3(sK1(sK2)),sK1(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g22,plain,
( ~ sPE(sK2,sK2)
| sPE(sK0(sK2),sK0(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| greater_or_equal(growth_rate(efficient_producers,sK3(sK0(sK2))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g24,plain,
( ~ sPE(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| greater_or_equal(growth_rate(efficient_producers,sK3(sK0(sK2))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g25,plain,
sPE(first_movers,first_movers),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ greater(zero,growth_rate(first_movers,sK3(sK1(sK2))))
| ~ greater_or_equal(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK3(sK1(sK2)))
| outcompetes(efficient_producers,first_movers,sK3(sK1(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2)]) ).
cnf(g27,plain,
( ~ sPE(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| greater_or_equal(growth_rate(efficient_producers,sK3(sK1(sK2))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g28,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| greater_or_equal(growth_rate(efficient_producers,sK3(sK1(sK2))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g29,plain,
sPE(sK3(sK1(sK2)),sK3(sK1(sK2))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ greater_or_equal(sK3(sK1(sK2)),equilibrium(sK2))
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK3(sK1(sK2)))
| sPE(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| sP0(sK3(sK1(sK2)))
| sP1(sK3(sK1(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g31,plain,
( ~ greater_or_equal(sK3(sK1(sK2)),sK0(sK2))
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK3(sK1(sK2)))
| ~ stable(sK2)
| greater(growth_rate(efficient_producers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1)]) ).
cnf(g32,plain,
( ~ greater(sK3(sK1(sK2)),sK0(sK2))
| greater_or_equal(sK3(sK1(sK2)),sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g33,plain,
( ~ greater(sK3(sK1(sK2)),equilibrium(sK2))
| greater_or_equal(sK3(sK1(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g34,plain,
( greater(zero,growth_rate(first_movers,sK3(sK1(sK2))))
| ~ sP1(sK3(sK1(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g35,plain,
( ~ in_environment(sK2,sK0(sK2))
| ~ in_environment(sK2,sK1(sK2))
| sPE(sK1(sK2),sK0(sK2))
| greater(sK0(sK2),sK1(sK2))
| greater(sK1(sK2),sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_times_in_environment)]) ).
cnf(g36,plain,
( ~ greater(sK1(sK2),sK0(sK2))
| greater_or_equal(sK1(sK2),sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g37,plain,
( ~ sPE(sK2,sK2)
| sPE(equilibrium(sK2),equilibrium(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(sK1(sK2),sK3(sK1(sK2)))
| ~ sPE(equilibrium(sK2),equilibrium(sK2))
| ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater_or_equal(sK3(sK1(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
( ~ sPE(sK3(sK1(sK2)),sK1(sK2))
| sPE(sK1(sK2),sK3(sK1(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
sPE(growth_rate(first_movers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ sPE(growth_rate(first_movers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2))))
| ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2))))
| greater(zero,growth_rate(first_movers,sK3(sK0(sK2)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2))))
| ~ greater(growth_rate(first_movers,sK3(sK0(sK2))),zero)
| greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g43,plain,
( greater(growth_rate(first_movers,sK3(sK0(sK2))),zero)
| ~ sP0(sK3(sK0(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g44,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK3(sK0(sK2))))
| ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2))))
| greater(zero,growth_rate(first_movers,sK3(sK0(sK2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g45,plain,
( greater(zero,growth_rate(efficient_producers,sK3(sK0(sK2))))
| ~ sP0(sK3(sK0(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g46,plain,
( ~ sPE(sK1(sK2),sK3(sK0(sK2)))
| ~ sPE(equilibrium(sK2),equilibrium(sK2))
| ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater_or_equal(sK3(sK0(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g47,plain,
( ~ sPE(sK3(sK0(sK2)),sK1(sK2))
| sPE(sK1(sK2),sK3(sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g48,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ sP1(sK3(sK0(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g49,plain,
sPE(growth_rate(first_movers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g50,plain,
( greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| ~ sP1(sK3(sK1(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g51,plain,
( ~ sPE(sK0(sK2),sK1(sK2))
| sPE(sK1(sK2),sK0(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g52,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK3(sK1(sK2))))
| ~ greater(growth_rate(efficient_producers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2))))
| greater(zero,growth_rate(first_movers,sK3(sK1(sK2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g53,plain,
( ~ sPE(sK3(sK0(sK2)),sK3(sK0(sK2)))
| ~ sPE(sK0(sK2),equilibrium(sK2))
| ~ greater_or_equal(sK3(sK0(sK2)),sK0(sK2))
| greater_or_equal(sK3(sK0(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g54,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| sPE(sK0(sK2),equilibrium(sK2))
| greater(sK0(sK2),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g55,plain,
( ~ sPE(sK3(sK1(sK2)),sK3(sK1(sK2)))
| ~ sPE(sK1(sK2),equilibrium(sK2))
| ~ greater_or_equal(sK3(sK1(sK2)),sK1(sK2))
| greater_or_equal(sK3(sK1(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g56,plain,
( ~ sPE(first_movers,first_movers)
| ~ sPE(efficient_producers,efficient_producers)
| ~ sPE(sK2,sK2)
| ~ sPE(sK3(sK0(sK2)),sK0(sK2))
| ~ subpopulations(first_movers,efficient_producers,sK2,sK3(sK0(sK2)))
| subpopulations(first_movers,efficient_producers,sK2,sK0(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g57,plain,
( ~ sPE(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| ~ sPE(growth_rate(first_movers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2))))
| ~ greater(growth_rate(efficient_producers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2))))
| greater(zero,growth_rate(first_movers,sK3(sK1(sK2)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g58,plain,
( greater(zero,growth_rate(efficient_producers,sK3(sK1(sK2))))
| ~ sP0(sK3(sK1(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g59,plain,
( ~ greater(sK3(sK1(sK2)),sK1(sK2))
| ~ greater(sK1(sK2),sK0(sK2))
| greater(sK3(sK1(sK2)),sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g60,plain,
( ~ sPE(sK1(sK2),sK0(sK2))
| sPE(sK0(sK2),sK1(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g61,plain,
( ~ greater(sK3(sK1(sK2)),sK1(sK2))
| ~ greater(sK1(sK2),equilibrium(sK2))
| greater(sK3(sK1(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g62,plain,
( greater(growth_rate(first_movers,sK3(sK1(sK2))),zero)
| ~ sP0(sK3(sK1(sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g63,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2))))
| ~ greater(growth_rate(first_movers,sK3(sK1(sK2))),zero)
| greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g64,plain,
( ~ greater(sK3(sK0(sK2)),sK1(sK2))
| greater_or_equal(sK3(sK0(sK2)),sK1(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g65,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK0(sK2))
| sPE(growth_rate(efficient_producers,sK0(sK2)),zero)
| sP0(sK0(sK2))
| sP1(sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g66,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK0(sK2))
| sPE(growth_rate(first_movers,sK0(sK2)),zero)
| sP0(sK0(sK2))
| sP1(sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',l6)]) ).
cnf(g67,plain,
( ~ greater(zero,growth_rate(first_movers,sK0(sK2)))
| ~ greater_or_equal(growth_rate(efficient_producers,sK0(sK2)),zero)
| ~ environment(sK2)
| ~ subpopulations(first_movers,efficient_producers,sK2,sK0(sK2))
| outcompetes(efficient_producers,first_movers,sK0(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2)]) ).
cnf(g68,plain,
( ~ greater(sK0(sK2),equilibrium(sK2))
| greater_or_equal(sK0(sK2),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
cnf(g69,plain,
( ~ greater(sK3(sK0(sK2)),sK0(sK2))
| ~ greater(sK0(sK2),sK1(sK2))
| greater(sK3(sK0(sK2)),sK1(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g70,plain,
( ~ sPE(sK1(sK2),sK3(sK1(sK2)))
| ~ sPE(sK0(sK2),sK0(sK2))
| ~ greater_or_equal(sK1(sK2),sK0(sK2))
| greater_or_equal(sK3(sK1(sK2)),sK0(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g71,plain,
( ~ sPE(sK3(sK0(sK2)),sK0(sK2))
| sPE(sK0(sK2),sK3(sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g72,plain,
( ~ sPE(sK1(sK2),sK0(sK2))
| ~ sPE(equilibrium(sK2),equilibrium(sK2))
| ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater_or_equal(sK0(sK2),equilibrium(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g73,plain,
( ~ sPE(sK3(sK0(sK2)),sK3(sK0(sK2)))
| ~ sPE(sK1(sK2),equilibrium(sK2))
| ~ greater_or_equal(sK3(sK0(sK2)),sK1(sK2))
| greater_or_equal(sK3(sK0(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g74,plain,
( ~ sPE(first_movers,first_movers)
| ~ sPE(sK3(sK0(sK2)),sK0(sK2))
| sPE(growth_rate(first_movers,sK3(sK0(sK2))),growth_rate(first_movers,sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g75,plain,
( ~ sPE(efficient_producers,efficient_producers)
| ~ sPE(sK3(sK0(sK2)),sK0(sK2))
| sPE(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(efficient_producers,sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g76,plain,
( ~ sPE(efficient_producers,efficient_producers)
| ~ sPE(first_movers,first_movers)
| ~ sPE(sK0(sK2),sK3(sK0(sK2)))
| ~ outcompetes(efficient_producers,first_movers,sK0(sK2))
| outcompetes(efficient_producers,first_movers,sK3(sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g77,plain,
( ~ sPE(sK3(sK0(sK2)),sK0(sK2))
| ~ sPE(sK0(sK2),sK1(sK2))
| sPE(sK3(sK0(sK2)),sK1(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g78,plain,
( ~ greater(sK0(sK2),sK1(sK2))
| ~ greater(sK1(sK2),equilibrium(sK2))
| greater(sK0(sK2),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g79,plain,
( ~ sPE(sK0(sK2),sK3(sK0(sK2)))
| ~ sPE(sK1(sK2),equilibrium(sK2))
| ~ greater(sK0(sK2),sK1(sK2))
| greater(sK3(sK0(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g80,plain,
( ~ greater(sK3(sK0(sK2)),sK0(sK2))
| ~ greater(sK0(sK2),equilibrium(sK2))
| greater(sK3(sK0(sK2)),equilibrium(sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity)]) ).
cnf(g81,plain,
( ~ sPE(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(efficient_producers,sK0(sK2)))
| ~ sPE(growth_rate(first_movers,sK3(sK0(sK2))),growth_rate(first_movers,sK0(sK2)))
| ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2))))
| greater(growth_rate(efficient_producers,sK0(sK2)),growth_rate(first_movers,sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g82,plain,
( ~ sPE(first_movers,first_movers)
| ~ sPE(sK0(sK2),sK0(sK2))
| sPE(growth_rate(first_movers,sK0(sK2)),growth_rate(first_movers,sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g83,plain,
( ~ sPE(growth_rate(efficient_producers,sK0(sK2)),zero)
| ~ sPE(growth_rate(first_movers,sK0(sK2)),growth_rate(first_movers,sK0(sK2)))
| ~ greater(growth_rate(efficient_producers,sK0(sK2)),growth_rate(first_movers,sK0(sK2)))
| greater(zero,growth_rate(first_movers,sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g84,plain,
sPE(growth_rate(efficient_producers,sK0(sK2)),growth_rate(efficient_producers,sK0(sK2))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g85,plain,
( ~ sPE(growth_rate(efficient_producers,sK0(sK2)),growth_rate(efficient_producers,sK0(sK2)))
| ~ sPE(growth_rate(first_movers,sK0(sK2)),zero)
| ~ greater(growth_rate(efficient_producers,sK0(sK2)),growth_rate(first_movers,sK0(sK2)))
| greater(growth_rate(efficient_producers,sK0(sK2)),zero) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g86,plain,
( ~ sPE(sK0(sK2),sK3(sK0(sK2)))
| ~ sP0(sK0(sK2))
| sP0(sK3(sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g87,plain,
( ~ sPE(sK0(sK2),sK3(sK0(sK2)))
| ~ sP1(sK0(sK2))
| sP1(sK3(sK0(sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g88,plain,
( ~ greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| greater_or_equal(growth_rate(efficient_producers,sK0(sK2)),zero) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT035+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : satcop --statistics %s
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 12:35:52 UTC 2026
% 0.07/0.34 % CPUTime :
% 3.50/0.89 % symbols: 20
% 3.50/0.89 % clauses: 40
% 3.50/0.89 % start clauses: 5
% 3.50/0.89 % iterative deepening steps: 863
% 3.50/0.89 % maximum path limit: 5
% 3.50/0.89 % literal attempts: 1092235
% 3.50/0.89 % depth failures: 736870
% 3.50/0.89 % regularity failures: 44042
% 3.50/0.89 % tautology failures: 86257
% 3.50/0.89 % reductions: 28049
% 3.50/0.89 % extensions: 1061389
% 3.50/0.89 % SAT variables: 13893
% 3.50/0.89 % SAT clauses: 32638
% 3.50/0.89 % WalkSAT solutions: 32636
% 3.50/0.89 % CDCL solutions: 1
% 3.50/0.89 % SZS status Theorem for theBenchmark
% 3.50/0.89 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------