0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.12/0.33 % Computer : n026.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Thu Jul 2 06:46:54 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.34 # Version: 2.5pre002 0.12/0.34 # No SInE strategy applied 0.12/0.34 # Trying AutoSched0 for 59 seconds 0.12/0.38 # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y 0.12/0.38 # and selection function SelectMaxLComplexAvoidPosPred. 0.12/0.38 # 0.12/0.38 # Preprocessing time : 0.028 s 0.12/0.38 # Presaturation interreduction done 0.12/0.38 0.12/0.38 # Proof found! 0.12/0.38 # SZS status Theorem 0.12/0.38 # SZS output start CNFRefutation 0.12/0.38 fof(a1, hypothesis, ![X1, X2]:(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)). 0.12/0.38 fof(mp_environment_inequality, axiom, ![X1, X2]:((environment(X1)&in_environment(X1,X2))=>(greater(appear(an_organisation,X1),X2)|greater_or_equal(X2,appear(an_organisation,X1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_environment_inequality)). 0.12/0.38 fof(mp_subpopulations, axiom, ![X1, X2]:((subpopulation(first_movers,X1,X2)&subpopulation(efficient_producers,X1,X2))<=(in_environment(X1,X2)&environment(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_subpopulations)). 0.12/0.38 fof(mp_previous_negative_growth, axiom, ![X1, X2]:(?[X6]:(((greater(zero,growth_rate(efficient_producers,X6))&greater(X2,X6))&in_environment(X1,X6))&greater(X6,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)). 0.12/0.38 fof(a3, hypothesis, ![X1, X2]:(((decreases(resources(X1,X2))<=greater(equilibrium(X1),X2))&(constant(resources(X1,X2))<=~(greater(equilibrium(X1),X2))))<=((environment(X1)&in_environment(X1,X2))&greater(number_of_organizations(X1,X2),zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a3)). 0.12/0.38 fof(mp_no_members, axiom, ![X1, X2, X5]:((((subpopulation(X5,X1,X2)&number_of_organizations(X1,X2)=zero)&in_environment(X1,X2))&environment(X1))=>cardinality_at_time(X5,X2)=zero), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_no_members)). 0.12/0.38 fof(a9, hypothesis, ![X1, X5, X2]:(((environment(X1)&greater(cardinality_at_time(X5,X2),zero))&subpopulation(X5,X1,X2))=>(first_movers=X5|X5=efficient_producers)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a9)). 0.12/0.38 fof(mp_non_decreasing, axiom, ![X1, X2]:(((environment(X1)&~(decreases(number_of_organizations(X1,X2))))&in_environment(X1,X2))=>?[X5]:((subpopulation(X5,X1,X2)&~(greater(zero,growth_rate(X5,X2))))&greater(cardinality_at_time(X5,X2),zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_non_decreasing)). 0.12/0.38 fof(mp_empty_not_decreasing, axiom, ![X7, X2]:(~(greater(zero,growth_rate(X7,X2)))<=cardinality_at_time(X7,X2)=zero), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_empty_not_decreasing)). 0.12/0.38 fof(a12, hypothesis, ![X1, X3, X4, X2]:((((in_environment(X1,X2)&~(greater(zero,growth_rate(X3,X2))))&greater(resilience(X4),resilience(X3)))&environment(X1))=>~(greater(zero,growth_rate(X4,X2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a12)). 0.12/0.38 fof(mp_start_of_organizations, axiom, ![X1, X2]:(((environment(X1)&in_environment(X1,X2))&greater(appear(an_organisation,X1),X2))=>zero=number_of_organizations(X1,X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_start_of_organizations)). 0.12/0.38 fof(a6, hypothesis, ![X1, X2]:(((~(decreases(number_of_organizations(X1,X2)))<=decreases(resources(X1,X2)))&(constant(number_of_organizations(X1,X2))<=constant(resources(X1,X2))))<=(in_environment(X1,X2)&environment(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a6)). 0.12/0.38 fof(a2, hypothesis, greater(resilience(efficient_producers),resilience(first_movers)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a2)). 0.12/0.38 fof(prove_t6, conjecture, ![X1, X2]:(((environment(X1)&greater_or_equal(X2,appear(efficient_producers,X1)))&in_environment(X1,X2))=>greater(cardinality_at_time(efficient_producers,X2),zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_t6)). 0.12/0.38 fof(mp_constant_not_decrease, axiom, ![X5]:(~(decreases(X5))<=constant(X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_constant_not_decrease)). 0.12/0.38 fof(mp_efficient_producers_exist, axiom, ![X1, X2]:((in_environment(X1,X2)&environment(X1))=>(cardinality_at_time(efficient_producers,X2)=zero|greater(cardinality_at_time(efficient_producers,X2),zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_efficient_producers_exist)). 0.12/0.38 fof(c_0_16, hypothesis, ![X34, X35]:(~environment(X34)|~in_environment(X34,X35)|~greater_or_equal(X35,appear(an_organisation,X34))|greater(number_of_organizations(X34,X35),zero)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[a1])])])). 0.12/0.38 fof(c_0_17, plain, ![X41, X42]:(~environment(X41)|~in_environment(X41,X42)|(greater(appear(an_organisation,X41),X42)|greater_or_equal(X42,appear(an_organisation,X41)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_inequality])])). 0.12/0.38 fof(c_0_18, plain, ![X8, X9]:((subpopulation(first_movers,X8,X9)|(~in_environment(X8,X9)|~environment(X8)))&(subpopulation(efficient_producers,X8,X9)|(~in_environment(X8,X9)|~environment(X8)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mp_subpopulations])])])])). 0.12/0.38 fof(c_0_19, plain, ![X21, X22]:((((greater(zero,growth_rate(efficient_producers,esk3_2(X21,X22)))|(~environment(X21)|~greater_or_equal(X22,appear(efficient_producers,X21))|cardinality_at_time(efficient_producers,X22)!=zero))&(greater(X22,esk3_2(X21,X22))|(~environment(X21)|~greater_or_equal(X22,appear(efficient_producers,X21))|cardinality_at_time(efficient_producers,X22)!=zero)))&(in_environment(X21,esk3_2(X21,X22))|(~environment(X21)|~greater_or_equal(X22,appear(efficient_producers,X21))|cardinality_at_time(efficient_producers,X22)!=zero)))&(greater(esk3_2(X21,X22),appear(efficient_producers,X21))|(~environment(X21)|~greater_or_equal(X22,appear(efficient_producers,X21))|cardinality_at_time(efficient_producers,X22)!=zero))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mp_previous_negative_growth])])])])])). 0.12/0.38 fof(c_0_20, hypothesis, ![X26, X27]:((~greater(equilibrium(X26),X27)|decreases(resources(X26,X27))|(~environment(X26)|~in_environment(X26,X27)|~greater(number_of_organizations(X26,X27),zero)))&(greater(equilibrium(X26),X27)|constant(resources(X26,X27))|(~environment(X26)|~in_environment(X26,X27)|~greater(number_of_organizations(X26,X27),zero)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[a3])])])])). 0.12/0.38 cnf(c_0_21, hypothesis, (greater(number_of_organizations(X1,X2),zero)|~environment(X1)|~in_environment(X1,X2)|~greater_or_equal(X2,appear(an_organisation,X1))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.12/0.38 cnf(c_0_22, plain, (greater(appear(an_organisation,X1),X2)|greater_or_equal(X2,appear(an_organisation,X1))|~environment(X1)|~in_environment(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])). 0.12/0.38 fof(c_0_23, plain, ![X31, X32, X33]:(~subpopulation(X33,X31,X32)|number_of_organizations(X31,X32)!=zero|~in_environment(X31,X32)|~environment(X31)|cardinality_at_time(X33,X32)=zero), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_no_members])])). 0.12/0.38 cnf(c_0_24, plain, (subpopulation(efficient_producers,X1,X2)|~in_environment(X1,X2)|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_18])). 0.12/0.38 cnf(c_0_25, plain, (in_environment(X1,esk3_2(X1,X2))|~environment(X1)|~greater_or_equal(X2,appear(efficient_producers,X1))|cardinality_at_time(efficient_producers,X2)!=zero), inference(split_conjunct,[status(thm)],[c_0_19])). 0.12/0.38 fof(c_0_26, hypothesis, ![X16, X17, X18]:(~environment(X16)|~greater(cardinality_at_time(X17,X18),zero)|~subpopulation(X17,X16,X18)|(first_movers=X17|X17=efficient_producers)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a9])])). 0.12/0.38 fof(c_0_27, plain, ![X38, X39]:(((subpopulation(esk4_2(X38,X39),X38,X39)|(~environment(X38)|decreases(number_of_organizations(X38,X39))|~in_environment(X38,X39)))&(~greater(zero,growth_rate(esk4_2(X38,X39),X39))|(~environment(X38)|decreases(number_of_organizations(X38,X39))|~in_environment(X38,X39))))&(greater(cardinality_at_time(esk4_2(X38,X39),X39),zero)|(~environment(X38)|decreases(number_of_organizations(X38,X39))|~in_environment(X38,X39)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mp_non_decreasing])])])])])). 0.12/0.38 cnf(c_0_28, hypothesis, (decreases(resources(X1,X2))|~greater(equilibrium(X1),X2)|~environment(X1)|~in_environment(X1,X2)|~greater(number_of_organizations(X1,X2),zero)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.12/0.38 cnf(c_0_29, hypothesis, (greater(appear(an_organisation,X1),X2)|greater(number_of_organizations(X1,X2),zero)|~environment(X1)|~in_environment(X1,X2)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.12/0.38 fof(c_0_30, plain, ![X24, X25]:(cardinality_at_time(X24,X25)!=zero|~greater(zero,growth_rate(X24,X25))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mp_empty_not_decreasing])])])). 0.12/0.38 cnf(c_0_31, plain, (cardinality_at_time(X1,X3)=zero|~subpopulation(X1,X2,X3)|number_of_organizations(X2,X3)!=zero|~in_environment(X2,X3)|~environment(X2)), inference(split_conjunct,[status(thm)],[c_0_23])). 0.12/0.38 cnf(c_0_32, plain, (subpopulation(efficient_producers,X1,esk3_2(X1,X2))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.12/0.38 cnf(c_0_33, hypothesis, (greater(equilibrium(X1),X2)|constant(resources(X1,X2))|~environment(X1)|~in_environment(X1,X2)|~greater(number_of_organizations(X1,X2),zero)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.12/0.38 cnf(c_0_34, hypothesis, (first_movers=X2|X2=efficient_producers|~environment(X1)|~greater(cardinality_at_time(X2,X3),zero)|~subpopulation(X2,X1,X3)), inference(split_conjunct,[status(thm)],[c_0_26])). 0.12/0.38 cnf(c_0_35, plain, (greater(cardinality_at_time(esk4_2(X1,X2),X2),zero)|decreases(number_of_organizations(X1,X2))|~environment(X1)|~in_environment(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_27])). 0.12/0.38 fof(c_0_36, hypothesis, ![X10, X11, X12, X13]:(~in_environment(X10,X13)|greater(zero,growth_rate(X11,X13))|~greater(resilience(X12),resilience(X11))|~environment(X10)|~greater(zero,growth_rate(X12,X13))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[a12])])])). 0.12/0.38 fof(c_0_37, plain, ![X36, X37]:(~environment(X36)|~in_environment(X36,X37)|~greater(appear(an_organisation,X36),X37)|zero=number_of_organizations(X36,X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_start_of_organizations])])). 0.12/0.38 cnf(c_0_38, hypothesis, (decreases(resources(X1,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~greater(number_of_organizations(X1,esk3_2(X1,X2)),zero)|~greater(equilibrium(X1),esk3_2(X1,X2))|~environment(X1)), inference(spm,[status(thm)],[c_0_28, c_0_25])). 0.12/0.38 cnf(c_0_39, hypothesis, (greater(number_of_organizations(X1,esk3_2(X1,X2)),zero)|greater(appear(an_organisation,X1),esk3_2(X1,X2))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_29, c_0_25])). 0.12/0.38 cnf(c_0_40, plain, (cardinality_at_time(X1,X2)!=zero|~greater(zero,growth_rate(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.12/0.38 cnf(c_0_41, plain, (cardinality_at_time(efficient_producers,esk3_2(X1,X2))=zero|number_of_organizations(X1,esk3_2(X1,X2))!=zero|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_25])). 0.12/0.38 cnf(c_0_42, plain, (greater(zero,growth_rate(efficient_producers,esk3_2(X1,X2)))|~environment(X1)|~greater_or_equal(X2,appear(efficient_producers,X1))|cardinality_at_time(efficient_producers,X2)!=zero), inference(split_conjunct,[status(thm)],[c_0_19])). 0.12/0.38 cnf(c_0_43, hypothesis, (constant(resources(X1,esk3_2(X1,X2)))|greater(equilibrium(X1),esk3_2(X1,X2))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~greater(number_of_organizations(X1,esk3_2(X1,X2)),zero)|~environment(X1)), inference(spm,[status(thm)],[c_0_33, c_0_25])). 0.12/0.38 cnf(c_0_44, hypothesis, (esk4_2(X1,X2)=first_movers|esk4_2(X1,X2)=efficient_producers|decreases(number_of_organizations(X1,X2))|~environment(X3)|~environment(X1)|~in_environment(X1,X2)|~subpopulation(esk4_2(X1,X2),X3,X2)), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.12/0.38 cnf(c_0_45, plain, (subpopulation(esk4_2(X1,X2),X1,X2)|decreases(number_of_organizations(X1,X2))|~environment(X1)|~in_environment(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_27])). 0.12/0.38 cnf(c_0_46, hypothesis, (greater(zero,growth_rate(X3,X2))|~in_environment(X1,X2)|~greater(resilience(X4),resilience(X3))|~environment(X1)|~greater(zero,growth_rate(X4,X2))), inference(split_conjunct,[status(thm)],[c_0_36])). 0.12/0.38 fof(c_0_47, hypothesis, ![X14, X15]:((~decreases(resources(X14,X15))|~decreases(number_of_organizations(X14,X15))|(~in_environment(X14,X15)|~environment(X14)))&(~constant(resources(X14,X15))|constant(number_of_organizations(X14,X15))|(~in_environment(X14,X15)|~environment(X14)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[a6])])])])). 0.12/0.38 cnf(c_0_48, plain, (zero=number_of_organizations(X1,X2)|~environment(X1)|~in_environment(X1,X2)|~greater(appear(an_organisation,X1),X2)), inference(split_conjunct,[status(thm)],[c_0_37])). 0.12/0.38 cnf(c_0_49, hypothesis, (decreases(resources(X1,esk3_2(X1,X2)))|greater(appear(an_organisation,X1),esk3_2(X1,X2))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~greater(equilibrium(X1),esk3_2(X1,X2))|~environment(X1)), inference(spm,[status(thm)],[c_0_38, c_0_39])). 0.12/0.38 cnf(c_0_50, plain, (number_of_organizations(X1,esk3_2(X1,X2))!=zero|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])). 0.12/0.38 cnf(c_0_51, hypothesis, (constant(resources(X1,esk3_2(X1,X2)))|greater(appear(an_organisation,X1),esk3_2(X1,X2))|greater(equilibrium(X1),esk3_2(X1,X2))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_43, c_0_39])). 0.12/0.38 cnf(c_0_52, plain, (decreases(number_of_organizations(X1,X2))|~greater(zero,growth_rate(esk4_2(X1,X2),X2))|~environment(X1)|~in_environment(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_27])). 0.12/0.38 cnf(c_0_53, hypothesis, (esk4_2(X1,X2)=efficient_producers|esk4_2(X1,X2)=first_movers|decreases(number_of_organizations(X1,X2))|~environment(X1)|~in_environment(X1,X2)), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.12/0.38 cnf(c_0_54, hypothesis, (greater(zero,growth_rate(X1,esk3_2(X2,X3)))|cardinality_at_time(efficient_producers,X3)!=zero|~greater_or_equal(X3,appear(efficient_producers,X2))|~greater(resilience(efficient_producers),resilience(X1))|~environment(X4)|~environment(X2)|~in_environment(X4,esk3_2(X2,X3))), inference(spm,[status(thm)],[c_0_46, c_0_42])). 0.12/0.38 cnf(c_0_55, hypothesis, (greater(resilience(efficient_producers),resilience(first_movers))), inference(split_conjunct,[status(thm)],[a2])). 0.12/0.38 cnf(c_0_56, hypothesis, (constant(number_of_organizations(X1,X2))|~constant(resources(X1,X2))|~in_environment(X1,X2)|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_47])). 0.12/0.38 cnf(c_0_57, hypothesis, (decreases(resources(X1,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~greater(equilibrium(X1),esk3_2(X1,X2))|~environment(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_25]), c_0_50])). 0.12/0.38 cnf(c_0_58, hypothesis, (constant(resources(X1,esk3_2(X1,X2)))|greater(equilibrium(X1),esk3_2(X1,X2))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_51]), c_0_25]), c_0_50])). 0.12/0.38 cnf(c_0_59, hypothesis, (esk4_2(X1,X2)=first_movers|decreases(number_of_organizations(X1,X2))|~greater(zero,growth_rate(efficient_producers,X2))|~environment(X1)|~in_environment(X1,X2)), inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.12/0.38 cnf(c_0_60, hypothesis, (greater(zero,growth_rate(first_movers,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X3)|~environment(X1)|~in_environment(X3,esk3_2(X1,X2))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.12/0.38 cnf(c_0_61, hypothesis, (~decreases(resources(X1,X2))|~decreases(number_of_organizations(X1,X2))|~in_environment(X1,X2)|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_47])). 0.12/0.38 cnf(c_0_62, hypothesis, (constant(number_of_organizations(X1,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~constant(resources(X1,esk3_2(X1,X2)))|~environment(X1)), inference(spm,[status(thm)],[c_0_56, c_0_25])). 0.12/0.38 cnf(c_0_63, hypothesis, (constant(resources(X1,esk3_2(X1,X2)))|decreases(resources(X1,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_57, c_0_58])). 0.12/0.38 cnf(c_0_64, hypothesis, (decreases(number_of_organizations(X1,X2))|~greater(zero,growth_rate(first_movers,X2))|~greater(zero,growth_rate(efficient_producers,X2))|~environment(X1)|~in_environment(X1,X2)), inference(spm,[status(thm)],[c_0_52, c_0_59])). 0.12/0.38 cnf(c_0_65, hypothesis, (greater(zero,growth_rate(first_movers,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_60, c_0_25])). 0.12/0.38 fof(c_0_66, negated_conjecture, ~(![X1, X2]:(((environment(X1)&greater_or_equal(X2,appear(efficient_producers,X1)))&in_environment(X1,X2))=>greater(cardinality_at_time(efficient_producers,X2),zero))), inference(assume_negation,[status(cth)],[prove_t6])). 0.12/0.38 fof(c_0_67, plain, ![X28]:(~constant(X28)|~decreases(X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mp_constant_not_decrease])])])). 0.12/0.38 cnf(c_0_68, hypothesis, (cardinality_at_time(efficient_producers,X1)!=zero|~greater_or_equal(X1,appear(efficient_producers,X2))|~decreases(number_of_organizations(X2,esk3_2(X2,X1)))|~decreases(resources(X2,esk3_2(X2,X1)))|~environment(X2)), inference(spm,[status(thm)],[c_0_61, c_0_25])). 0.12/0.38 cnf(c_0_69, hypothesis, (constant(number_of_organizations(X1,esk3_2(X1,X2)))|decreases(resources(X1,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_62, c_0_63])). 0.12/0.38 cnf(c_0_70, hypothesis, (decreases(number_of_organizations(X1,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_25]), c_0_42]), c_0_65])). 0.12/0.38 fof(c_0_71, plain, ![X29, X30]:(~in_environment(X29,X30)|~environment(X29)|(cardinality_at_time(efficient_producers,X30)=zero|greater(cardinality_at_time(efficient_producers,X30),zero))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_efficient_producers_exist])])). 0.12/0.38 fof(c_0_72, negated_conjecture, (((environment(esk1_0)&greater_or_equal(esk2_0,appear(efficient_producers,esk1_0)))&in_environment(esk1_0,esk2_0))&~greater(cardinality_at_time(efficient_producers,esk2_0),zero)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])). 0.12/0.38 cnf(c_0_73, plain, (~constant(X1)|~decreases(X1)), inference(split_conjunct,[status(thm)],[c_0_67])). 0.12/0.38 cnf(c_0_74, hypothesis, (constant(number_of_organizations(X1,esk3_2(X1,X2)))|cardinality_at_time(efficient_producers,X2)!=zero|~greater_or_equal(X2,appear(efficient_producers,X1))|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])). 0.12/0.38 cnf(c_0_75, plain, (cardinality_at_time(efficient_producers,X2)=zero|greater(cardinality_at_time(efficient_producers,X2),zero)|~in_environment(X1,X2)|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_71])). 0.12/0.38 cnf(c_0_76, negated_conjecture, (in_environment(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_72])). 0.12/0.38 cnf(c_0_77, negated_conjecture, (environment(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_72])). 0.12/0.38 cnf(c_0_78, negated_conjecture, (~greater(cardinality_at_time(efficient_producers,esk2_0),zero)), inference(split_conjunct,[status(thm)],[c_0_72])). 0.12/0.38 cnf(c_0_79, hypothesis, (cardinality_at_time(efficient_producers,X1)!=zero|~greater_or_equal(X1,appear(efficient_producers,X2))|~environment(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_70])). 0.12/0.38 cnf(c_0_80, negated_conjecture, (greater_or_equal(esk2_0,appear(efficient_producers,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_72])). 0.12/0.38 cnf(c_0_81, negated_conjecture, (cardinality_at_time(efficient_producers,esk2_0)=zero), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_77])]), c_0_78])). 0.12/0.38 cnf(c_0_82, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81]), c_0_77])]), ['proof']). 0.12/0.38 # SZS output end CNFRefutation 0.12/0.38 # Proof object total steps : 83 0.12/0.38 # Proof object clause steps : 51 0.12/0.38 # Proof object formula steps : 32 0.12/0.38 # Proof object conjectures : 9 0.12/0.38 # Proof object clause conjectures : 6 0.12/0.38 # Proof object formula conjectures : 3 0.12/0.38 # Proof object initial clauses used : 24 0.12/0.38 # Proof object initial formulas used : 16 0.12/0.38 # Proof object generating inferences : 27 0.12/0.38 # Proof object simplifying inferences : 16 0.12/0.38 # Training examples: 0 positive, 0 negative 0.12/0.38 # Parsed axioms : 16 0.12/0.38 # Removed by relevancy pruning/SinE : 0 0.12/0.38 # Initial clauses : 27 0.12/0.38 # Removed in clause preprocessing : 0 0.12/0.38 # Initial clauses in saturation : 27 0.12/0.38 # Processed clauses : 134 0.12/0.38 # ...of these trivial : 0 0.12/0.38 # ...subsumed : 8 0.12/0.38 # ...remaining for further processing : 126 0.12/0.38 # Other redundant clauses eliminated : 0 0.12/0.38 # Clauses deleted for lack of memory : 0 0.12/0.38 # Backward-subsumed : 41 0.12/0.38 # Backward-rewritten : 1 0.12/0.38 # Generated clauses : 90 0.12/0.38 # ...of the previous two non-trivial : 86 0.12/0.38 # Contextual simplify-reflections : 16 0.12/0.38 # Paramodulations : 89 0.12/0.38 # Factorizations : 1 0.12/0.38 # Equation resolutions : 0 0.12/0.38 # Propositional unsat checks : 0 0.12/0.38 # Propositional check models : 0 0.12/0.38 # Propositional check unsatisfiable : 0 0.12/0.38 # Propositional clauses : 0 0.12/0.38 # Propositional clauses after purity: 0 0.12/0.38 # Propositional unsat core size : 0 0.12/0.38 # Propositional preprocessing time : 0.000 0.12/0.38 # Propositional encoding time : 0.000 0.12/0.38 # Propositional solver time : 0.000 0.12/0.38 # Success case prop preproc time : 0.000 0.12/0.38 # Success case prop encoding time : 0.000 0.12/0.38 # Success case prop solver time : 0.000 0.12/0.38 # Current number of processed clauses : 57 0.12/0.38 # Positive orientable unit clauses : 7 0.12/0.38 # Positive unorientable unit clauses: 0 0.12/0.38 # Negative unit clauses : 2 0.12/0.38 # Non-unit-clauses : 48 0.12/0.38 # Current number of unprocessed clauses: 3 0.12/0.38 # ...number of literals in the above : 19 0.12/0.38 # Current number of archived formulas : 0 0.12/0.38 # Current number of archived clauses : 69 0.12/0.38 # Clause-clause subsumption calls (NU) : 1547 0.12/0.38 # Rec. Clause-clause subsumption calls : 141 0.12/0.38 # Non-unit clause-clause subsumptions : 63 0.12/0.38 # Unit Clause-clause subsumption calls : 2 0.12/0.38 # Rewrite failures with RHS unbound : 0 0.12/0.38 # BW rewrite match attempts : 1 0.12/0.38 # BW rewrite match successes : 1 0.12/0.38 # Condensation attempts : 0 0.12/0.38 # Condensation successes : 0 0.12/0.38 # Termbank termtop insertions : 6138 0.12/0.38 0.12/0.38 # ------------------------------------------------- 0.12/0.38 # User time : 0.037 s 0.12/0.38 # System time : 0.005 s 0.12/0.38 # Total time : 0.042 s 0.12/0.38 # Maximum resident set size: 1592 pages 0.12/0.38 EOF