%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Thu Sep 24 01:26:50 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.60s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of clauses : 89 ( 15 unt; 22 nHn; 89 RR)
% Number of literals : 310 ( 40 equ; 217 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a6_47,hypothesis,
( ~ constant(resources(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| constant(number_of_organizations(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_47) ).
cnf(a3_44,hypothesis,
( ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| constant(resources(X1,X2))
| greater(equilibrium(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_44) ).
cnf(a6_46,hypothesis,
( ~ decreases(number_of_organizations(X1,X2))
| ~ decreases(resources(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_46) ).
cnf(a3_43,hypothesis,
( ~ greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| decreases(resources(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_43) ).
cnf(mp_constant_not_decrease_41,axiom,
( ~ decreases(X1)
| ~ constant(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_constant_not_decrease_41) ).
cnf(a9_50,hypothesis,
( ~ greater(cardinality_at_time(X2,X3),zero)
| ~ subpopulation(X2,X1,X3)
| ~ environment(X1)
| X2 = first_movers
| X2 = efficient_producers ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_50) ).
cnf(mp_non_decreasing_33,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(sk2(X2,X1),X1,X2)
| decreases(number_of_organizations(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_33) ).
cnf(mp_non_decreasing_34,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(sk2(X2,X1),X2),zero)
| decreases(number_of_organizations(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_34) ).
cnf(mp_efficient_producers_exist_40,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X2),zero)
| cardinality_at_time(efficient_producers,X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_efficient_producers_exist_40) ).
cnf(prove_t6_54,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_54) ).
cnf(a12_48,hypothesis,
( ~ greater(zero,growth_rate(X4,X2))
| ~ greater(resilience(X4),resilience(X3))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(zero,growth_rate(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_48) ).
cnf(mp_previous_negative_growth_31,axiom,
( cardinality_at_time(efficient_producers,X2) != zero
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| greater(zero,growth_rate(efficient_producers,sk1(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth_31) ).
cnf(mp_previous_negative_growth_29,axiom,
( cardinality_at_time(efficient_producers,X2) != zero
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| in_environment(X1,sk1(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth_29) ).
cnf(prove_t6_52,negated_conjecture,
in_environment(sk3,sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_52) ).
cnf(prove_t6_51,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_51) ).
cnf(mp_non_decreasing_35,axiom,
( ~ greater(zero,growth_rate(sk2(X2,X1),X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| decreases(number_of_organizations(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_35) ).
cnf(prove_t6_53,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_53) ).
cnf(a2_49,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_49) ).
cnf(a1_45,hypothesis,
( ~ greater_or_equal(X2,appear(an_organisation,X1))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_45) ).
cnf(mp_environment_inequality_42,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(appear(an_organisation,X1),X2)
| greater_or_equal(X2,appear(an_organisation,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_inequality_42) ).
cnf(mp_empty_not_decreasing_39,axiom,
( ~ greater(zero,growth_rate(X1,X2))
| cardinality_at_time(X1,X2) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_empty_not_decreasing_39) ).
cnf(mp_no_members_36,axiom,
( ~ subpopulation(X3,X1,X2)
| number_of_organizations(X1,X2) != zero
| ~ in_environment(X1,X2)
| ~ environment(X1)
| cardinality_at_time(X3,X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_members_36) ).
cnf(mp_subpopulations_37,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(first_movers,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_37) ).
cnf(mp_start_of_organizations_32,axiom,
( ~ greater(appear(an_organisation,X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| number_of_organizations(X1,X2) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_start_of_organizations_32) ).
cnf(c_0_24,hypothesis,
( ~ constant(resources(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| constant(number_of_organizations(X1,X2)) ),
inference(fof_simplification,[status(thm)],[a6_47]) ).
cnf(c_0_25,hypothesis,
( ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| constant(resources(X1,X2))
| greater(equilibrium(X1),X2) ),
inference(fof_simplification,[status(thm)],[a3_44]) ).
cnf(c_0_26,hypothesis,
( ~ decreases(number_of_organizations(X1,X2))
| ~ decreases(resources(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(fof_simplification,[status(thm)],[a6_46]) ).
cnf(c_0_27,hypothesis,
( ~ greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| decreases(resources(X1,X2)) ),
inference(fof_simplification,[status(thm)],[a3_43]) ).
cnf(c_0_28,plain,
( ~ decreases(X1)
| ~ constant(X1) ),
inference(fof_simplification,[status(thm)],[mp_constant_not_decrease_41]) ).
cnf(c_0_29,hypothesis,
( ~ constant(resources(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| constant(number_of_organizations(X1,X2)) ),
c_0_24 ).
cnf(c_0_30,hypothesis,
( ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| constant(resources(X1,X2))
| greater(equilibrium(X1),X2) ),
c_0_25 ).
cnf(c_0_31,hypothesis,
( ~ decreases(number_of_organizations(X1,X2))
| ~ decreases(resources(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
c_0_26 ).
cnf(c_0_32,hypothesis,
( ~ greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| decreases(resources(X1,X2)) ),
c_0_27 ).
cnf(c_0_33,hypothesis,
( ~ greater(cardinality_at_time(X2,X3),zero)
| ~ subpopulation(X2,X1,X3)
| ~ environment(X1)
| X2 = first_movers
| X2 = efficient_producers ),
inference(fof_simplification,[status(thm)],[a9_50]) ).
cnf(c_0_34,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(sk2(X2,X1),X1,X2)
| decreases(number_of_organizations(X1,X2)) ),
inference(fof_simplification,[status(thm)],[mp_non_decreasing_33]) ).
cnf(c_0_35,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(sk2(X2,X1),X2),zero)
| decreases(number_of_organizations(X1,X2)) ),
inference(fof_simplification,[status(thm)],[mp_non_decreasing_34]) ).
cnf(c_0_36,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X2),zero)
| cardinality_at_time(efficient_producers,X2) = zero ),
inference(fof_simplification,[status(thm)],[mp_efficient_producers_exist_40]) ).
cnf(c_0_37,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
inference(fof_simplification,[status(thm)],[prove_t6_54]) ).
cnf(c_0_38,plain,
( ~ decreases(X1)
| ~ constant(X1) ),
c_0_28 ).
cnf(c_0_39,hypothesis,
( ~ environment(X1)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| greater(equilibrium(X1),X2)
| constant(number_of_organizations(X1,X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_40,hypothesis,
( ~ environment(X1)
| ~ greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ decreases(number_of_organizations(X1,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_41,hypothesis,
( ~ greater(cardinality_at_time(X2,X3),zero)
| ~ subpopulation(X2,X1,X3)
| ~ environment(X1)
| X2 = first_movers
| X2 = efficient_producers ),
c_0_33 ).
cnf(c_0_42,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(sk2(X2,X1),X1,X2)
| decreases(number_of_organizations(X1,X2)) ),
c_0_34 ).
cnf(c_0_43,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(sk2(X2,X1),X2),zero)
| decreases(number_of_organizations(X1,X2)) ),
c_0_35 ).
cnf(c_0_44,hypothesis,
( ~ greater(zero,growth_rate(X4,X2))
| ~ greater(resilience(X4),resilience(X3))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(zero,growth_rate(X3,X2)) ),
inference(fof_simplification,[status(thm)],[a12_48]) ).
cnf(c_0_45,plain,
( cardinality_at_time(efficient_producers,X2) != zero
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| greater(zero,growth_rate(efficient_producers,sk1(X2,X1))) ),
inference(fof_simplification,[status(thm)],[mp_previous_negative_growth_31]) ).
cnf(c_0_46,plain,
( cardinality_at_time(efficient_producers,X2) != zero
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| in_environment(X1,sk1(X2,X1)) ),
inference(fof_simplification,[status(thm)],[mp_previous_negative_growth_29]) ).
cnf(c_0_47,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X2),zero)
| cardinality_at_time(efficient_producers,X2) = zero ),
c_0_36 ).
cnf(c_0_48,negated_conjecture,
in_environment(sk3,sk4),
prove_t6_52 ).
cnf(c_0_49,negated_conjecture,
environment(sk3),
prove_t6_51 ).
cnf(c_0_50,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
c_0_37 ).
cnf(c_0_51,plain,
( ~ greater(zero,growth_rate(sk2(X2,X1),X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| decreases(number_of_organizations(X1,X2)) ),
inference(fof_simplification,[status(thm)],[mp_non_decreasing_35]) ).
cnf(c_0_52,hypothesis,
( ~ environment(X1)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ decreases(number_of_organizations(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_53,hypothesis,
( ~ environment(X2)
| ~ in_environment(X2,X1)
| decreases(number_of_organizations(X2,X1))
| sk2(X1,X2) = first_movers
| sk2(X1,X2) = efficient_producers ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_54,hypothesis,
( ~ greater(zero,growth_rate(X4,X2))
| ~ greater(resilience(X4),resilience(X3))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(zero,growth_rate(X3,X2)) ),
c_0_44 ).
cnf(c_0_55,plain,
( cardinality_at_time(efficient_producers,X2) != zero
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| greater(zero,growth_rate(efficient_producers,sk1(X2,X1))) ),
c_0_45 ).
cnf(c_0_56,plain,
( cardinality_at_time(efficient_producers,X2) != zero
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| in_environment(X1,sk1(X2,X1)) ),
c_0_46 ).
cnf(c_0_57,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
prove_t6_53 ).
cnf(c_0_58,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_47,c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_59,plain,
( ~ greater(zero,growth_rate(sk2(X2,X1),X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| decreases(number_of_organizations(X1,X2)) ),
c_0_51 ).
cnf(c_0_60,hypothesis,
( ~ environment(X2)
| ~ greater(number_of_organizations(X2,X1),zero)
| ~ in_environment(X2,X1)
| sk2(X1,X2) = efficient_producers
| sk2(X1,X2) = first_movers ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,hypothesis,
( ~ environment(X3)
| ~ environment(X4)
| ~ greater_or_equal(X2,appear(efficient_producers,X3))
| ~ greater(resilience(efficient_producers),resilience(X1))
| ~ in_environment(X4,sk1(X2,X3))
| cardinality_at_time(efficient_producers,X2) != zero
| greater(zero,growth_rate(X1,sk1(X2,X3))) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
in_environment(sk3,sk1(sk4,sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_49])]) ).
cnf(c_0_63,hypothesis,
( ~ environment(X2)
| ~ greater(number_of_organizations(X2,X1),zero)
| ~ greater(zero,growth_rate(first_movers,X1))
| ~ in_environment(X2,X1)
| sk2(X1,X2) = efficient_producers ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52]) ).
cnf(c_0_64,negated_conjecture,
( ~ greater(resilience(efficient_producers),resilience(X1))
| greater(zero,growth_rate(X1,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_61,c_0_62]),c_0_58]),c_0_57]),c_0_49])]) ).
cnf(c_0_65,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
a2_49 ).
cnf(c_0_66,negated_conjecture,
( ~ environment(X1)
| ~ greater(number_of_organizations(X1,sk1(sk4,sk3)),zero)
| ~ in_environment(X1,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),X1) = efficient_producers ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_67,hypothesis,
( ~ greater_or_equal(X2,appear(an_organisation,X1))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(number_of_organizations(X1,X2),zero) ),
inference(fof_simplification,[status(thm)],[a1_45]) ).
cnf(c_0_68,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(appear(an_organisation,X1),X2)
| greater_or_equal(X2,appear(an_organisation,X1)) ),
inference(fof_simplification,[status(thm)],[mp_environment_inequality_42]) ).
cnf(c_0_69,negated_conjecture,
( ~ environment(X1)
| ~ greater(number_of_organizations(X1,sk1(sk4,sk3)),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ in_environment(X1,sk1(sk4,sk3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_66]),c_0_52]) ).
cnf(c_0_70,hypothesis,
( ~ greater_or_equal(X2,appear(an_organisation,X1))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(number_of_organizations(X1,X2),zero) ),
c_0_67 ).
cnf(c_0_71,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(appear(an_organisation,X1),X2)
| greater_or_equal(X2,appear(an_organisation,X1)) ),
c_0_68 ).
cnf(c_0_72,plain,
( ~ greater(zero,growth_rate(X1,X2))
| cardinality_at_time(X1,X2) != zero ),
inference(fof_simplification,[status(thm)],[mp_empty_not_decreasing_39]) ).
cnf(c_0_73,plain,
( ~ subpopulation(X3,X1,X2)
| number_of_organizations(X1,X2) != zero
| ~ in_environment(X1,X2)
| ~ environment(X1)
| cardinality_at_time(X3,X2) = zero ),
inference(fof_simplification,[status(thm)],[mp_no_members_36]) ).
cnf(c_0_74,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(first_movers,X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_subpopulations_37]) ).
cnf(c_0_75,plain,
( ~ greater(appear(an_organisation,X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| number_of_organizations(X1,X2) = zero ),
inference(fof_simplification,[status(thm)],[mp_start_of_organizations_32]) ).
cnf(c_0_76,negated_conjecture,
( ~ environment(X1)
| ~ greater(number_of_organizations(X1,sk1(sk4,sk3)),zero)
| ~ in_environment(X1,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_69,c_0_55]),c_0_58]),c_0_57]),c_0_49])]) ).
cnf(c_0_77,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| greater(number_of_organizations(X1,X2),zero)
| greater(appear(an_organisation,X1),X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
( ~ greater(zero,growth_rate(X1,X2))
| cardinality_at_time(X1,X2) != zero ),
c_0_72 ).
cnf(c_0_79,plain,
( ~ subpopulation(X3,X1,X2)
| number_of_organizations(X1,X2) != zero
| ~ in_environment(X1,X2)
| ~ environment(X1)
| cardinality_at_time(X3,X2) = zero ),
c_0_73 ).
cnf(c_0_80,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulation(first_movers,X1,X2) ),
c_0_74 ).
cnf(c_0_81,plain,
( ~ greater(appear(an_organisation,X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| number_of_organizations(X1,X2) = zero ),
c_0_75 ).
cnf(c_0_82,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,sk1(sk4,sk3))
| greater(appear(an_organisation,X1),sk1(sk4,sk3)) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
( ~ greater(resilience(efficient_producers),resilience(X1))
| cardinality_at_time(X1,sk1(sk4,sk3)) != zero ),
inference(spm,[status(thm)],[c_0_78,c_0_64]) ).
cnf(c_0_84,plain,
( ~ environment(X2)
| ~ in_environment(X2,X1)
| number_of_organizations(X2,X1) != zero
| cardinality_at_time(first_movers,X1) = zero ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,sk1(sk4,sk3))
| number_of_organizations(X1,sk1(sk4,sk3)) = zero ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,hypothesis,
cardinality_at_time(first_movers,sk1(sk4,sk3)) != zero,
inference(spm,[status(thm)],[c_0_83,c_0_65]) ).
cnf(c_0_87,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,sk1(sk4,sk3)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_88,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_62]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n017.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 01:18:28 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.60 % Version: 3.5.1
% 0.25/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.60 % Starting sh5l with 300s (1) cores
% 0.25/0.60 % new_bool_3 with pid 1115964 completed with status 0
% 0.25/0.60 % Result found by new_bool_3
% 0.25/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.60 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.25/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.60 % SubtermCWHack with pid 1115967 completed with status 0
% 0.25/0.60 % Result found by SubtermCWHack
% 0.25/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.60 % Search class: FGHSF-FFMS21-SFFFFFNN
% 0.25/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.60 % Preprocessing time : 0.001 s
% 0.25/0.60
% 0.25/0.60 % Proof found!
% 0.25/0.60 % SZS status Unsatisfiable
% 0.25/0.60 % SZS output start CNFRefutation
% See solution above
% 0.25/0.60 % Parsed axioms : 27
% 0.25/0.60 % Removed by relevancy pruning/SinE : 0
% 0.25/0.60 % Initial clauses : 27
% 0.25/0.60 % Removed in clause preprocessing : 0
% 0.25/0.60 % Initial clauses in saturation : 27
% 0.25/0.60 % Processed clauses : 95
% 0.25/0.60 % ...of these trivial : 0
% 0.25/0.60 % ...subsumed : 9
% 0.25/0.60 % ...remaining for further processing : 86
% 0.25/0.60 % Other redundant clauses eliminated : 0
% 0.25/0.60 % Clauses deleted for lack of memory : 0
% 0.25/0.60 % Backward-subsumed : 19
% 0.25/0.60 % Backward-rewritten : 1
% 0.25/0.60 % Generated clauses : 89
% 0.25/0.60 % ...of the previous two non-redundant : 87
% 0.25/0.60 % ...aggressively subsumed : 0
% 0.25/0.60 % Contextual simplify-reflections : 12
% 0.25/0.60 % Paramodulations : 88
% 0.25/0.60 % Factorizations : 1
% 0.25/0.60 % NegExts : 0
% 0.25/0.60 % Equation resolutions : 0
% 0.25/0.60 % Disequality decompositions : 0
% 0.25/0.60 % Total rewrite steps : 25
% 0.25/0.60 % ...of those cached : 21
% 0.25/0.60 % Propositional unsat checks : 0
% 0.25/0.60 % Propositional check models : 0
% 0.25/0.60 % Propositional check unsatisfiable : 0
% 0.25/0.60 % Propositional clauses : 0
% 0.25/0.60 % Propositional clauses after purity: 0
% 0.25/0.60 % Propositional unsat core size : 0
% 0.25/0.60 % Propositional preprocessing time : 0.000
% 0.25/0.60 % Propositional encoding time : 0.000
% 0.25/0.60 % Propositional solver time : 0.000
% 0.25/0.60 % Success case prop preproc time : 0.000
% 0.25/0.60 % Success case prop encoding time : 0.000
% 0.25/0.60 % Success case prop solver time : 0.000
% 0.25/0.60 % Current number of processed clauses : 66
% 0.25/0.60 % Positive orientable unit clauses : 7
% 0.25/0.60 % Positive unorientable unit clauses: 0
% 0.25/0.60 % Negative unit clauses : 2
% 0.25/0.60 % Non-unit-clauses : 57
% 0.25/0.60 % Current number of unprocessed clauses: 19
% 0.25/0.60 % ...number of literals in the above : 89
% 0.25/0.60 % Current number of archived formulas : 0
% 0.25/0.60 % Current number of archived clauses : 20
% 0.25/0.60 % Clause-clause subsumption calls (NU) : 1087
% 0.25/0.60 % Rec. Clause-clause subsumption calls : 95
% 0.25/0.60 % Non-unit clause-clause subsumptions : 40
% 0.25/0.60 % Unit Clause-clause subsumption calls : 4
% 0.25/0.60 % Rewrite failures with RHS unbound : 0
% 0.25/0.60 % BW rewrite match attempts : 1
% 0.25/0.60 % BW rewrite match successes : 1
% 0.25/0.60 % Condensation attempts : 0
% 0.25/0.60 % Condensation successes : 0
% 0.25/0.60 % Termbank termtop insertions : 4371
% 0.25/0.60 % Search garbage collected termcells : 96
% 0.25/0.60
% 0.25/0.60 % -------------------------------------------------
% 0.25/0.60 % User time : 0.012 s
% 0.25/0.60 % System time : 0.001 s
% 0.25/0.60 % Total time : 0.012 s
% 0.25/0.60 % Maximum resident set size: 3660 pages
% 0.25/0.60
% 0.25/0.60 % -------------------------------------------------
% 0.25/0.60 % User time : 0.014 s
% 0.25/0.60 % System time : 0.005 s
% 0.25/0.60 % Total time : 0.019 s
% 0.25/0.60 % Maximum resident set size: 4608 pages
% 0.25/0.60 % E exiting
%------------------------------------------------------------------------------