TSTP Solution File: MGT037-1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : MGT037-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 : Sat May 4 08:36:34 EDT 2024
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of clauses : 96 ( 23 unt; 26 nHn; 96 RR)
% Number of literals : 294 ( 36 equ; 187 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 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 : 131 ( 0 sgn)
% 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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_efficient_producers_exist_40) ).
cnf(prove_t6_54,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',prove_t6_54) ).
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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_previous_negative_growth_29) ).
cnf(prove_t6_52,negated_conjecture,
in_environment(sk3,sk4),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',prove_t6_52) ).
cnf(prove_t6_51,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',prove_t6_51) ).
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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_previous_negative_growth_31) ).
cnf(a9_50,hypothesis,
( X2 = efficient_producers
| X2 = first_movers
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| ~ greater(cardinality_at_time(X2,X3),zero) ),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',a9_50) ).
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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_non_decreasing_33) ).
cnf(prove_t6_53,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',prove_t6_53) ).
cnf(a12_48,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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',a12_48) ).
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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_non_decreasing_35) ).
cnf(a6_46,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ decreases(resources(X1,X2))
| ~ decreases(number_of_organizations(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',a6_46) ).
cnf(a2_49,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',a2_49) ).
cnf(a1_45,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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',a1_45) ).
cnf(mp_environment_inequality_42,axiom,
( greater_or_equal(X2,appear(an_organisation,X1))
| greater(appear(an_organisation,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_environment_inequality_42) ).
cnf(mp_subpopulations_38,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_subpopulations_38) ).
cnf(a3_43,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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',a3_43) ).
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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_no_members_36) ).
cnf(mp_empty_not_decreasing_39,axiom,
( cardinality_at_time(X1,X2) != zero
| ~ greater(zero,growth_rate(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_empty_not_decreasing_39) ).
cnf(a3_44,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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',a3_44) ).
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/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_start_of_organizations_32) ).
cnf(a6_47,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',a6_47) ).
cnf(mp_constant_not_decrease_41,axiom,
( ~ constant(X1)
| ~ decreases(X1) ),
file('/export/starexec/sandbox/tmp/tmp.aUHudtIoKD/E---3.1_24167.p',mp_constant_not_decrease_41) ).
cnf(c_0_24,plain,
( cardinality_at_time(efficient_producers,X2) = zero
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_efficient_producers_exist_40]) ).
cnf(c_0_25,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
inference(fof_simplification,[status(thm)],[prove_t6_54]) ).
cnf(c_0_26,plain,
( in_environment(X1,sk1(X2,X1))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
inference(fof_simplification,[status(thm)],[mp_previous_negative_growth_29]) ).
cnf(c_0_27,plain,
( cardinality_at_time(efficient_producers,X2) = zero
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
c_0_24 ).
cnf(c_0_28,negated_conjecture,
in_environment(sk3,sk4),
prove_t6_52 ).
cnf(c_0_29,negated_conjecture,
environment(sk3),
prove_t6_51 ).
cnf(c_0_30,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
c_0_25 ).
cnf(c_0_31,plain,
( 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 ),
inference(fof_simplification,[status(thm)],[mp_previous_negative_growth_31]) ).
cnf(c_0_32,hypothesis,
( X2 = efficient_producers
| X2 = first_movers
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| ~ greater(cardinality_at_time(X2,X3),zero) ),
inference(fof_simplification,[status(thm)],[a9_50]) ).
cnf(c_0_33,plain,
( decreases(number_of_organizations(X1,X2))
| greater(cardinality_at_time(sk2(X2,X1),X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_non_decreasing_34]) ).
cnf(c_0_34,plain,
( decreases(number_of_organizations(X1,X2))
| subpopulation(sk2(X2,X1),X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_non_decreasing_33]) ).
cnf(c_0_35,plain,
( in_environment(X1,sk1(X2,X1))
| ~ environment(X1)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| cardinality_at_time(efficient_producers,X2) != zero ),
c_0_26 ).
cnf(c_0_36,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
prove_t6_53 ).
cnf(c_0_37,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]) ).
cnf(c_0_38,hypothesis,
( greater(zero,growth_rate(X3,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(resilience(X4),resilience(X3))
| ~ greater(zero,growth_rate(X4,X2)) ),
inference(fof_simplification,[status(thm)],[a12_48]) ).
cnf(c_0_39,plain,
( 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 ),
c_0_31 ).
cnf(c_0_40,plain,
( decreases(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(sk2(X2,X1),X2)) ),
inference(fof_simplification,[status(thm)],[mp_non_decreasing_35]) ).
cnf(c_0_41,hypothesis,
( X2 = efficient_producers
| X2 = first_movers
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| ~ greater(cardinality_at_time(X2,X3),zero) ),
c_0_32 ).
cnf(c_0_42,plain,
( decreases(number_of_organizations(X1,X2))
| greater(cardinality_at_time(sk2(X2,X1),X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
c_0_33 ).
cnf(c_0_43,plain,
( decreases(number_of_organizations(X1,X2))
| subpopulation(sk2(X2,X1),X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
c_0_34 ).
cnf(c_0_44,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_35,c_0_36]),c_0_29])]),c_0_37])]) ).
cnf(c_0_45,hypothesis,
( greater(zero,growth_rate(X3,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(resilience(X4),resilience(X3))
| ~ greater(zero,growth_rate(X4,X2)) ),
c_0_38 ).
cnf(c_0_46,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_39,c_0_36]),c_0_29])]),c_0_37])]) ).
cnf(c_0_47,plain,
( decreases(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(sk2(X2,X1),X2)) ),
c_0_40 ).
cnf(c_0_48,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_41,c_0_42]) ).
cnf(c_0_49,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_43,c_0_44]),c_0_29])]) ).
cnf(c_0_50,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_45,c_0_46]) ).
cnf(c_0_51,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ decreases(resources(X1,X2))
| ~ decreases(number_of_organizations(X1,X2)) ),
inference(fof_simplification,[status(thm)],[a6_46]) ).
cnf(c_0_52,negated_conjecture,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_44]),c_0_29])]) ).
cnf(c_0_53,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_48,c_0_49]),c_0_44]),c_0_29])]) ).
cnf(c_0_54,negated_conjecture,
( 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_50,c_0_44]),c_0_29])]) ).
cnf(c_0_55,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
a2_49 ).
cnf(c_0_56,hypothesis,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ decreases(resources(X1,X2))
| ~ decreases(number_of_organizations(X1,X2)) ),
c_0_51 ).
cnf(c_0_57,negated_conjecture,
( sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_46])]) ).
cnf(c_0_58,hypothesis,
greater(zero,growth_rate(first_movers,sk1(sk4,sk3))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,hypothesis,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
inference(fof_simplification,[status(thm)],[a1_45]) ).
cnf(c_0_60,plain,
( greater_or_equal(X2,appear(an_organisation,X1))
| greater(appear(an_organisation,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_environment_inequality_42]) ).
cnf(c_0_61,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_subpopulations_38]) ).
cnf(c_0_62,hypothesis,
( decreases(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ greater(equilibrium(X1),X2) ),
inference(fof_simplification,[status(thm)],[a3_43]) ).
cnf(c_0_63,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_44]),c_0_29])]) ).
cnf(c_0_64,negated_conjecture,
decreases(number_of_organizations(sk3,sk1(sk4,sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_57]),c_0_58])]) ).
cnf(c_0_65,hypothesis,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(an_organisation,X1)) ),
c_0_59 ).
cnf(c_0_66,plain,
( greater_or_equal(X2,appear(an_organisation,X1))
| greater(appear(an_organisation,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
c_0_60 ).
cnf(c_0_67,plain,
( cardinality_at_time(X3,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| number_of_organizations(X1,X2) != zero
| ~ subpopulation(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[mp_no_members_36]) ).
cnf(c_0_68,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
c_0_61 ).
cnf(c_0_69,hypothesis,
( decreases(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ greater(equilibrium(X1),X2) ),
c_0_62 ).
cnf(c_0_70,hypothesis,
~ decreases(resources(sk3,sk1(sk4,sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_71,hypothesis,
( greater(appear(an_organisation,X1),X2)
| greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( cardinality_at_time(X1,X2) != zero
| ~ greater(zero,growth_rate(X1,X2)) ),
inference(fof_simplification,[status(thm)],[mp_empty_not_decreasing_39]) ).
cnf(c_0_73,plain,
( cardinality_at_time(X3,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| number_of_organizations(X1,X2) != zero
| ~ subpopulation(X3,X1,X2) ),
c_0_67 ).
cnf(c_0_74,negated_conjecture,
subpopulation(efficient_producers,sk3,sk1(sk4,sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_44]),c_0_29])]) ).
cnf(c_0_75,hypothesis,
( greater(equilibrium(X1),X2)
| constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
inference(fof_simplification,[status(thm)],[a3_44]) ).
cnf(c_0_76,plain,
( number_of_organizations(X1,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(an_organisation,X1),X2) ),
inference(fof_simplification,[status(thm)],[mp_start_of_organizations_32]) ).
cnf(c_0_77,hypothesis,
( ~ greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
| ~ greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_44]),c_0_29])]),c_0_70]) ).
cnf(c_0_78,negated_conjecture,
( greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
| greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_44]),c_0_29])]) ).
cnf(c_0_79,plain,
( cardinality_at_time(X1,X2) != zero
| ~ greater(zero,growth_rate(X1,X2)) ),
c_0_72 ).
cnf(c_0_80,negated_conjecture,
( cardinality_at_time(efficient_producers,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_73,c_0_74]),c_0_44]),c_0_29])]) ).
cnf(c_0_81,hypothesis,
( greater(equilibrium(X1),X2)
| constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
c_0_75 ).
cnf(c_0_82,plain,
( number_of_organizations(X1,X2) = zero
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(appear(an_organisation,X1),X2) ),
c_0_76 ).
cnf(c_0_83,negated_conjecture,
( greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| ~ greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_84,negated_conjecture,
number_of_organizations(sk3,sk1(sk4,sk3)) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_46])]) ).
cnf(c_0_85,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
inference(fof_simplification,[status(thm)],[a6_47]) ).
cnf(c_0_86,hypothesis,
( constant(resources(sk3,sk1(sk4,sk3)))
| greater(equilibrium(sk3),sk1(sk4,sk3))
| ~ greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_44]),c_0_29])]) ).
cnf(c_0_87,negated_conjecture,
~ greater(equilibrium(sk3),sk1(sk4,sk3)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_44]),c_0_29])]),c_0_84]) ).
cnf(c_0_88,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ constant(resources(X1,X2)) ),
c_0_85 ).
cnf(c_0_89,negated_conjecture,
( constant(resources(sk3,sk1(sk4,sk3)))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_78]),c_0_87]) ).
cnf(c_0_90,plain,
( ~ constant(X1)
| ~ decreases(X1) ),
inference(fof_simplification,[status(thm)],[mp_constant_not_decrease_41]) ).
cnf(c_0_91,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_88,c_0_44]),c_0_29])]) ).
cnf(c_0_92,negated_conjecture,
constant(resources(sk3,sk1(sk4,sk3))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_89]),c_0_44]),c_0_29])]),c_0_84]) ).
cnf(c_0_93,plain,
( ~ constant(X1)
| ~ decreases(X1) ),
c_0_90 ).
cnf(c_0_94,hypothesis,
constant(number_of_organizations(sk3,sk1(sk4,sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_95,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 14:11:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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/tmp/tmp.aUHudtIoKD/E---3.1_24167.p
% 0.20/0.50 # Version: 3.1.0
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50 # Starting sh5l with 300s (1) cores
% 0.20/0.50 # new_bool_3 with pid 24273 completed with status 0
% 0.20/0.50 # Result found by new_bool_3
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.20/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.20/0.50 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 24283 completed with status 0
% 0.20/0.50 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.20/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 181s (1) cores
% 0.20/0.50 # Preprocessing time : 0.002 s
% 0.20/0.50 # Presaturation interreduction done
% 0.20/0.50
% 0.20/0.50 # Proof found!
% 0.20/0.50 # SZS status Unsatisfiable
% 0.20/0.50 # SZS output start CNFRefutation
% See solution above
% 0.20/0.50 # Parsed axioms : 27
% 0.20/0.50 # Removed by relevancy pruning/SinE : 0
% 0.20/0.50 # Initial clauses : 27
% 0.20/0.50 # Removed in clause preprocessing : 0
% 0.20/0.50 # Initial clauses in saturation : 27
% 0.20/0.50 # Processed clauses : 114
% 0.20/0.50 # ...of these trivial : 0
% 0.20/0.50 # ...subsumed : 1
% 0.20/0.50 # ...remaining for further processing : 113
% 0.20/0.50 # Other redundant clauses eliminated : 0
% 0.20/0.50 # Clauses deleted for lack of memory : 0
% 0.20/0.50 # Backward-subsumed : 8
% 0.20/0.50 # Backward-rewritten : 8
% 0.20/0.50 # Generated clauses : 75
% 0.20/0.50 # ...of the previous two non-redundant : 70
% 0.20/0.50 # ...aggressively subsumed : 0
% 0.20/0.50 # Contextual simplify-reflections : 1
% 0.20/0.50 # Paramodulations : 73
% 0.20/0.50 # Factorizations : 2
% 0.20/0.50 # NegExts : 0
% 0.20/0.50 # Equation resolutions : 0
% 0.20/0.50 # Disequality decompositions : 0
% 0.20/0.50 # Total rewrite steps : 80
% 0.20/0.50 # ...of those cached : 68
% 0.20/0.50 # Propositional unsat checks : 0
% 0.20/0.50 # Propositional check models : 0
% 0.20/0.50 # Propositional check unsatisfiable : 0
% 0.20/0.50 # Propositional clauses : 0
% 0.20/0.50 # Propositional clauses after purity: 0
% 0.20/0.50 # Propositional unsat core size : 0
% 0.20/0.50 # Propositional preprocessing time : 0.000
% 0.20/0.50 # Propositional encoding time : 0.000
% 0.20/0.50 # Propositional solver time : 0.000
% 0.20/0.50 # Success case prop preproc time : 0.000
% 0.20/0.50 # Success case prop encoding time : 0.000
% 0.20/0.50 # Success case prop solver time : 0.000
% 0.20/0.50 # Current number of processed clauses : 70
% 0.20/0.50 # Positive orientable unit clauses : 17
% 0.20/0.50 # Positive unorientable unit clauses: 0
% 0.20/0.50 # Negative unit clauses : 5
% 0.20/0.50 # Non-unit-clauses : 48
% 0.20/0.50 # Current number of unprocessed clauses: 4
% 0.20/0.50 # ...number of literals in the above : 11
% 0.20/0.50 # Current number of archived formulas : 0
% 0.20/0.50 # Current number of archived clauses : 43
% 0.20/0.50 # Clause-clause subsumption calls (NU) : 390
% 0.20/0.50 # Rec. Clause-clause subsumption calls : 155
% 0.20/0.50 # Non-unit clause-clause subsumptions : 6
% 0.20/0.50 # Unit Clause-clause subsumption calls : 57
% 0.20/0.50 # Rewrite failures with RHS unbound : 0
% 0.20/0.50 # BW rewrite match attempts : 6
% 0.20/0.50 # BW rewrite match successes : 3
% 0.20/0.50 # Condensation attempts : 0
% 0.20/0.50 # Condensation successes : 0
% 0.20/0.50 # Termbank termtop insertions : 3238
% 0.20/0.50 # Search garbage collected termcells : 96
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.011 s
% 0.20/0.50 # System time : 0.002 s
% 0.20/0.50 # Total time : 0.013 s
% 0.20/0.50 # Maximum resident set size: 1712 pages
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.013 s
% 0.20/0.50 # System time : 0.005 s
% 0.20/0.50 # Total time : 0.017 s
% 0.20/0.50 # Maximum resident set size: 1752 pages
% 0.20/0.50 % E---3.1 exiting
% 0.20/0.50 % E exiting
%------------------------------------------------------------------------------