%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT037-2 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:16 PM UTC 2026
% Result : Satisfiable 1.27s 1.72s
% Output : Saturation 1.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_efficient_producers_exist_40,axiom,
( cardinality_at_time(efficient_producers,X2) = zero
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_efficient_producers_exist_40) ).
cnf(prove_t6_52,negated_conjecture,
in_environment(sk3,sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_52) ).
cnf(prove_t6_51,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_51) ).
cnf(prove_t6_54,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_54) ).
cnf(mp_previous_negative_growth_31,axiom,
( greater(zero,growth_rate(efficient_producers,sk1(X2,X1)))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth_31) ).
cnf(prove_t6_53,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_53) ).
cnf(a13_50,hypothesis,
( greater(zero,growth_rate(X3,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(resilience(X4),resilience(X3))
| ~ greater(zero,growth_rate(X4,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_50) ).
cnf(mp_previous_negative_growth_29,axiom,
( in_environment(X1,sk1(X2,X1))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth_29) ).
cnf(a11_49,hypothesis,
( X2 = efficient_producers
| X2 = first_movers
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| ~ greater(cardinality_at_time(X2,X3),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a11_49) ).
cnf(mp_non_decreasing_34,axiom,
( decreases(number_of_organizations(X1,X2))
| greater(cardinality_at_time(sk2(X2,X1),X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_34) ).
cnf(mp_non_decreasing_33,axiom,
( decreases(number_of_organizations(X1,X2))
| subpopulation(sk2(X2,X1),X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_33) ).
cnf(a2_44,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_44) ).
cnf(mp_non_decreasing_35,axiom,
( decreases(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(sk2(X2,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_35) ).
cnf(mp_no_members_36,axiom,
( cardinality_at_time(X3,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| number_of_organizations(X1,X2) != zero
| ~ subpopulation(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_members_36) ).
cnf(mp_subpopulations_37,axiom,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_37) ).
cnf(a7_47,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ decreases(resources(X1,X2))
| ~ decreases(number_of_organizations(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_47) ).
cnf(mp_subpopulations_38,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_38) ).
cnf(mp_empty_not_decreasing_39,axiom,
( cardinality_at_time(X1,X2) != zero
| ~ greater(zero,growth_rate(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_empty_not_decreasing_39) ).
cnf(a4_45,hypothesis,
( decreases(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ greater(equilibrium(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_45) ).
cnf(a4_46,hypothesis,
( greater(equilibrium(X1),X2)
| constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_46) ).
cnf(a7_48,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_48) ).
cnf(mp_previous_negative_growth_30,axiom,
( greater(X2,sk1(X2,X1))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth_30) ).
cnf(mp_previous_negative_growth_28,axiom,
( greater(sk1(X2,X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth_28) ).
cnf(a1_43,hypothesis,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_43) ).
cnf(mp_environment_inequality_42,axiom,
( greater(appear(an_organisation,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_inequality_42) ).
cnf(mp_start_of_organizations_32,axiom,
( number_of_organizations(X1,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(an_organisation,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_start_of_organizations_32) ).
cnf(mp_constant_not_decrease_41,axiom,
( ~ constant(X1)
| ~ decreases(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_41) ).
cnf(c_0_27,axiom,
( cardinality_at_time(efficient_producers,X2) = zero
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_efficient_producers_exist_40,
[final] ).
cnf(c_0_28,negated_conjecture,
in_environment(sk3,sk4),
prove_t6_52,
[final] ).
cnf(c_0_29,negated_conjecture,
environment(sk3),
prove_t6_51,
[final] ).
cnf(c_0_30,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
prove_t6_54 ).
cnf(c_0_31,axiom,
( greater(zero,growth_rate(efficient_producers,sk1(X2,X1)))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
mp_previous_negative_growth_31,
[final] ).
cnf(c_0_32,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
prove_t6_53,
[final] ).
cnf(c_0_33,negated_conjecture,
cardinality_at_time(efficient_producers,sk4) = zero,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]),
[final] ).
cnf(c_0_34,hypothesis,
( greater(zero,growth_rate(X3,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(resilience(X4),resilience(X3))
| ~ greater(zero,growth_rate(X4,X2)) ),
a13_50,
[final] ).
cnf(c_0_35,negated_conjecture,
greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_29])]),c_0_33])]),
[final] ).
cnf(c_0_36,axiom,
( in_environment(X1,sk1(X2,X1))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
mp_previous_negative_growth_29,
[final] ).
cnf(c_0_37,hypothesis,
( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ in_environment(X2,sk1(sk4,sk3))
| ~ greater(resilience(efficient_producers),resilience(X1))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
in_environment(sk3,sk1(sk4,sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_29])]),c_0_33])]),
[final] ).
cnf(c_0_39,hypothesis,
( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ greater(resilience(efficient_producers),resilience(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_29])]),
[final] ).
cnf(c_0_40,hypothesis,
( X2 = efficient_producers
| X2 = first_movers
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| ~ greater(cardinality_at_time(X2,X3),zero) ),
a11_49,
[final] ).
cnf(c_0_41,axiom,
( decreases(number_of_organizations(X1,X2))
| greater(cardinality_at_time(sk2(X2,X1),X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_non_decreasing_34,
[final] ).
cnf(c_0_42,axiom,
( decreases(number_of_organizations(X1,X2))
| subpopulation(sk2(X2,X1),X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_non_decreasing_33,
[final] ).
cnf(c_0_43,hypothesis,
( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ in_environment(X2,sk1(sk4,sk3))
| ~ greater(resilience(efficient_producers),resilience(X3))
| ~ greater(resilience(X3),resilience(X1))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_44,hypothesis,
( sk2(X1,X2) = first_movers
| sk2(X1,X2) = efficient_producers
| decreases(number_of_organizations(X2,X1))
| ~ subpopulation(sk2(X1,X2),X3,X1)
| ~ in_environment(X2,X1)
| ~ environment(X3)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]),
[final] ).
cnf(c_0_45,negated_conjecture,
( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_29])]) ).
cnf(c_0_46,negated_conjecture,
( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ greater(resilience(efficient_producers),resilience(X2))
| ~ greater(resilience(X2),resilience(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_38]),c_0_29])]),
[final] ).
cnf(c_0_47,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
a2_44,
[final] ).
cnf(c_0_48,negated_conjecture,
( subpopulation(sk2(sk4,sk3),sk3,sk4)
| decreases(number_of_organizations(sk3,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_29])]),
[final] ).
cnf(c_0_49,axiom,
( decreases(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(sk2(X2,X1),X2)) ),
mp_non_decreasing_35,
[final] ).
cnf(c_0_50,hypothesis,
( sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_38]),c_0_29])]) ).
cnf(c_0_51,hypothesis,
( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ greater(resilience(first_movers),resilience(X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_52,negated_conjecture,
( sk2(sk4,sk3) = efficient_producers
| sk2(sk4,sk3) = first_movers
| decreases(number_of_organizations(sk3,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_48]),c_0_28]),c_0_29])]) ).
cnf(c_0_53,negated_conjecture,
~ greater(zero,zero),
inference(rw,[status(thm)],[c_0_30,c_0_33]),
[final] ).
cnf(c_0_54,axiom,
( cardinality_at_time(X3,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| number_of_organizations(X1,X2) != zero
| ~ subpopulation(X3,X1,X2) ),
mp_no_members_36,
[final] ).
cnf(c_0_55,axiom,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_subpopulations_37,
[final] ).
cnf(c_0_56,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ decreases(resources(X1,X2))
| ~ decreases(number_of_organizations(X1,X2)) ),
a7_47,
[final] ).
cnf(c_0_57,hypothesis,
( decreases(number_of_organizations(X1,sk1(sk4,sk3)))
| ~ in_environment(X1,sk1(sk4,sk3))
| ~ greater(resilience(efficient_producers),resilience(sk2(sk1(sk4,sk3),X1)))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_39]),
[final] ).
cnf(c_0_58,hypothesis,
( sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_38]),c_0_35]),c_0_29])]) ).
cnf(c_0_59,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_subpopulations_38,
[final] ).
cnf(c_0_60,axiom,
( cardinality_at_time(X1,X2) != zero
| ~ greater(zero,growth_rate(X1,X2)) ),
mp_empty_not_decreasing_39,
[final] ).
cnf(c_0_61,hypothesis,
( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ in_environment(X2,sk1(sk4,sk3))
| ~ greater(resilience(first_movers),resilience(X3))
| ~ greater(resilience(X3),resilience(X1))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
( sk2(sk4,sk3) = first_movers
| decreases(number_of_organizations(sk3,sk4)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_52]),c_0_33]),c_0_28]),c_0_29])]),c_0_53]),
[final] ).
cnf(c_0_63,hypothesis,
( decreases(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ greater(equilibrium(X1),X2) ),
a4_45,
[final] ).
cnf(c_0_64,hypothesis,
( greater(equilibrium(X1),X2)
| constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
a4_46,
[final] ).
cnf(c_0_65,negated_conjecture,
( cardinality_at_time(sk2(sk4,sk3),sk4) = zero
| decreases(number_of_organizations(sk3,sk4))
| number_of_organizations(sk3,sk4) != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_28]),c_0_29])]) ).
cnf(c_0_66,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
a7_48,
[final] ).
cnf(c_0_67,negated_conjecture,
subpopulation(first_movers,sk3,sk1(sk4,sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_38]),c_0_29])]),
[final] ).
cnf(c_0_68,negated_conjecture,
subpopulation(first_movers,sk3,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_28]),c_0_29])]),
[final] ).
cnf(c_0_69,hypothesis,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ decreases(resources(sk3,sk1(sk4,sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_38]),c_0_29])]) ).
cnf(c_0_70,hypothesis,
decreases(number_of_organizations(sk3,sk1(sk4,sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_38]),c_0_47]),c_0_29])]),
[final] ).
cnf(c_0_71,negated_conjecture,
subpopulation(efficient_producers,sk3,sk1(sk4,sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_38]),c_0_29])]),
[final] ).
cnf(c_0_72,negated_conjecture,
cardinality_at_time(efficient_producers,sk1(sk4,sk3)) != zero,
inference(spm,[status(thm)],[c_0_60,c_0_35]),
[final] ).
cnf(c_0_73,axiom,
( greater(X2,sk1(X2,X1))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
mp_previous_negative_growth_30,
[final] ).
cnf(c_0_74,negated_conjecture,
( greater(zero,growth_rate(X1,sk1(sk4,sk3)))
| ~ greater(resilience(first_movers),resilience(X2))
| ~ greater(resilience(X2),resilience(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_38]),c_0_29])]),
[final] ).
cnf(c_0_75,hypothesis,
( decreases(number_of_organizations(X1,sk1(sk4,sk3)))
| ~ in_environment(X1,sk1(sk4,sk3))
| ~ greater(resilience(first_movers),resilience(sk2(sk1(sk4,sk3),X1)))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_51]),
[final] ).
cnf(c_0_76,hypothesis,
( cardinality_at_time(X1,sk1(sk4,sk3)) != zero
| ~ greater(resilience(first_movers),resilience(X1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_51]),
[final] ).
cnf(c_0_77,negated_conjecture,
( decreases(number_of_organizations(sk3,sk4))
| ~ greater(zero,growth_rate(first_movers,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_62]),c_0_28]),c_0_29])]),
[final] ).
cnf(c_0_78,negated_conjecture,
( decreases(number_of_organizations(sk3,sk4))
| greater(cardinality_at_time(first_movers,sk4),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_62]),c_0_28]),c_0_29])]),
[final] ).
cnf(c_0_79,hypothesis,
( constant(resources(X1,X2))
| decreases(resources(X1,X2))
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_80,negated_conjecture,
( decreases(number_of_organizations(sk3,sk4))
| number_of_organizations(sk3,sk4) != zero ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_65]),c_0_28]),c_0_29])]),c_0_53]),
[final] ).
cnf(c_0_81,hypothesis,
( constant(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ constant(resources(sk3,sk1(sk4,sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_38]),c_0_29])]),
[final] ).
cnf(c_0_82,hypothesis,
( cardinality_at_time(X1,sk1(sk4,sk3)) != zero
| ~ greater(resilience(efficient_producers),resilience(X1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_39]),
[final] ).
cnf(c_0_83,negated_conjecture,
( cardinality_at_time(first_movers,sk1(sk4,sk3)) = zero
| number_of_organizations(sk3,sk1(sk4,sk3)) != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_67]),c_0_38]),c_0_29])]),
[final] ).
cnf(c_0_84,negated_conjecture,
( constant(number_of_organizations(sk3,sk4))
| ~ constant(resources(sk3,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_28]),c_0_29])]),
[final] ).
cnf(c_0_85,negated_conjecture,
( cardinality_at_time(first_movers,sk4) = zero
| number_of_organizations(sk3,sk4) != zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_68]),c_0_28]),c_0_29])]),
[final] ).
cnf(c_0_86,negated_conjecture,
( ~ decreases(number_of_organizations(sk3,sk4))
| ~ decreases(resources(sk3,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_28]),c_0_29])]),
[final] ).
cnf(c_0_87,axiom,
( greater(sk1(X2,X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
mp_previous_negative_growth_28,
[final] ).
cnf(c_0_88,hypothesis,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
a1_43,
[final] ).
cnf(c_0_89,axiom,
( greater(appear(an_organisation,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
mp_environment_inequality_42,
[final] ).
cnf(c_0_90,axiom,
( number_of_organizations(X1,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(an_organisation,X1),X2) ),
mp_start_of_organizations_32,
[final] ).
cnf(c_0_91,axiom,
( ~ constant(X1)
| ~ decreases(X1) ),
mp_constant_not_decrease_41,
[final] ).
cnf(c_0_92,hypothesis,
~ decreases(resources(sk3,sk1(sk4,sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]),
[final] ).
cnf(c_0_93,negated_conjecture,
number_of_organizations(sk3,sk1(sk4,sk3)) != zero,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_71]),c_0_38]),c_0_29])]),c_0_72]),
[final] ).
cnf(c_0_94,negated_conjecture,
greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_38]),c_0_29])]),c_0_72]),
[final] ).
cnf(c_0_95,negated_conjecture,
greater(sk4,sk1(sk4,sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_32]),c_0_29])]),c_0_33])]),
[final] ).
cnf(c_0_96,negated_conjecture,
subpopulation(efficient_producers,sk3,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_28]),c_0_29])]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT037-2 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n025.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 23:28:58 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start Saturation
% See solution above
% 1.27/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------