0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_E %s %d THM 0.10/0.31 % Computer : n011.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 02:16:51 EDT 2022 0.10/0.31 % CPUTime : 0.16/0.42 Running first-order on 8 cores theorem proving 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.42 # Version: 3.0pre003 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN. 0.16/0.44 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 600s (5) cores 0.16/0.44 # Starting new_bool_3 with 120s (1) cores 0.16/0.44 # Starting new_bool_1 with 120s (1) cores 0.16/0.44 # Starting sh5l with 120s (1) cores 0.16/0.44 # sh5l with pid 23881 completed with status 0 0.16/0.44 # Result found by sh5l 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN. 0.16/0.44 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 600s (5) cores 0.16/0.44 # Starting new_bool_3 with 120s (1) cores 0.16/0.44 # Starting new_bool_1 with 120s (1) cores 0.16/0.44 # Starting sh5l with 120s (1) cores 0.16/0.44 # SinE strategy is gf500_gu_R04_F100_L20000 0.16/0.44 # ...ProofStateSinE()=19/19 0.16/0.44 # Search class: FGHSF-FFMS21-SFFFFFNN 0.16/0.44 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.16/0.44 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 65s (1) cores 0.16/0.44 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 23887 completed with status 0 0.16/0.44 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y 0.16/0.44 # Preprocessing class: FSMSSMSSSSSNFFN. 0.16/0.44 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 600s (5) cores 0.16/0.44 # Starting new_bool_3 with 120s (1) cores 0.16/0.44 # Starting new_bool_1 with 120s (1) cores 0.16/0.44 # Starting sh5l with 120s (1) cores 0.16/0.44 # SinE strategy is gf500_gu_R04_F100_L20000 0.16/0.44 # ...ProofStateSinE()=19/19 0.16/0.44 # Search class: FGHSF-FFMS21-SFFFFFNN 0.16/0.44 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.16/0.44 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 65s (1) cores 0.16/0.44 # Preprocessing time : 0.001 s 0.16/0.44 # Presaturation interreduction done 0.16/0.44 0.16/0.44 # Proof found! 0.16/0.44 # SZS status Theorem 0.16/0.44 # SZS output start CNFRefutation 0.16/0.44 tff(decl_22, type, greater: ($i * $i) > $o). 0.16/0.44 tff(decl_23, type, selection_favors: ($i * $i * $i) > $o). 0.16/0.44 tff(decl_24, type, growth_rate: ($i * $i) > $i). 0.16/0.44 tff(decl_25, type, subpopulations: ($i * $i * $i * $i) > $o). 0.16/0.44 tff(decl_26, type, environment: $i > $o). 0.16/0.44 tff(decl_27, type, in_environment: ($i * $i) > $o). 0.16/0.44 tff(decl_28, type, first_movers: $i). 0.16/0.44 tff(decl_29, type, subpopulation: ($i * $i * $i) > $o). 0.16/0.44 tff(decl_30, type, efficient_producers: $i). 0.16/0.44 tff(decl_31, type, cardinality_at_time: ($i * $i) > $i). 0.16/0.44 tff(decl_32, type, zero: $i). 0.16/0.44 tff(decl_33, type, appear: ($i * $i) > $i). 0.16/0.44 tff(decl_34, type, greater_or_equal: ($i * $i) > $o). 0.16/0.44 tff(decl_35, type, critical_point: $i > $i). 0.16/0.44 tff(decl_36, type, end_time: $i > $i). 0.16/0.44 tff(decl_37, type, start_time: $i > $i). 0.16/0.44 tff(decl_38, type, propagation_strategy: $i > $o). 0.16/0.44 tff(decl_39, type, observational_period: $i > $o). 0.16/0.44 tff(decl_40, type, slow_change: $i > $o). 0.16/0.44 tff(decl_41, type, esk1_0: $i). 0.16/0.44 tff(decl_42, type, esk2_2: ($i * $i) > $i). 0.16/0.44 tff(decl_43, type, esk3_1: $i > $i). 0.16/0.44 fof(mp_greater_transitivity, axiom, ![X1, X2, X3]:((greater(X1,X3)<=(greater(X1,X2)&greater(X2,X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_greater_transitivity)). 0.16/0.44 fof(mp_greater_or_equal, axiom, ![X1, X2]:(((greater(X1,X2)|X2=X1)<=>greater_or_equal(X1,X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_greater_or_equal)). 0.16/0.45 fof(mp_time_of_critical_point, axiom, ![X4]:((environment(X4)=>greater_or_equal(critical_point(X4),start_time(X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_time_of_critical_point)). 0.16/0.45 fof(mp4_critical_point, axiom, ![X9]:(((observational_period(X9)&slow_change(X9))=>![X4]:((?[X7]:((in_environment(X4,X7)&greater(X7,critical_point(X4))))<=(in_environment(X9,X4)&environment(X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp4_critical_point)). 0.16/0.45 fof(prove_t8, conjecture, ![X9]:((selection_favors(efficient_producers,first_movers,X9)<=(slow_change(X9)&observational_period(X9)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_t8)). 0.16/0.45 fof(mp_environment_end_point, axiom, ![X4, X7]:((greater_or_equal(end_time(X4),X7)<=(environment(X4)&in_environment(X4,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_environment_end_point)). 0.16/0.45 fof(mp_time_in_environment, axiom, ![X4, X7]:((((greater_or_equal(end_time(X4),X7)&greater_or_equal(X7,start_time(X4)))&environment(X4))=>in_environment(X4,X7))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_time_in_environment)). 0.16/0.45 fof(mp3_favoured_trategy, axiom, ![X9]:((selection_favors(efficient_producers,first_movers,X9)<=(((observational_period(X9)&propagation_strategy(first_movers))&![X4]:((selection_favors(efficient_producers,first_movers,end_time(X4))<=(in_environment(X9,X4)&environment(X4)))))&propagation_strategy(efficient_producers)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp3_favoured_trategy)). 0.16/0.45 fof(t6, hypothesis, ![X4, X7]:((greater(cardinality_at_time(efficient_producers,X7),zero)<=((greater_or_equal(X7,appear(efficient_producers,X4))&in_environment(X4,X7))&environment(X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6)). 0.16/0.45 fof(mp_critical_point_after_EP, axiom, ![X4]:((environment(X4)=>greater_or_equal(critical_point(X4),appear(efficient_producers,X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_critical_point_after_EP)). 0.16/0.45 fof(mp_organizational_sets1, axiom, propagation_strategy(first_movers), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_organizational_sets1)). 0.16/0.45 fof(mp_organizational_sets2, axiom, propagation_strategy(efficient_producers), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_organizational_sets2)). 0.16/0.45 fof(d1, hypothesis, ![X4, X8]:(((![X7]:((greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))<=(subpopulations(first_movers,efficient_producers,X4,X7)&greater(X7,X8))))&~(greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))))<=(environment(X4)&critical_point(X4)=X8))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1)). 0.16/0.45 fof(mp2_favour_members, axiom, ![X4, X5, X6, X7]:((selection_favors(X5,X6,X7)<=((((environment(X4)&subpopulation(X5,X4,X7))&subpopulation(X6,X4,X7))&zero=cardinality_at_time(X6,X7))&greater(cardinality_at_time(X5,X7),zero)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp2_favour_members)). 0.16/0.45 fof(mp_contains_FM_and_EP, axiom, ![X4, X7]:((subpopulations(first_movers,efficient_producers,X4,X7)<=(((environment(X4)&greater(cardinality_at_time(first_movers,X7),zero))&greater(cardinality_at_time(efficient_producers,X7),zero))&in_environment(X4,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_contains_FM_and_EP)). 0.16/0.45 fof(mp_subpopulations, axiom, ![X4, X7]:(((in_environment(X4,X7)&environment(X4))=>(subpopulation(first_movers,X4,X7)&subpopulation(efficient_producers,X4,X7)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_subpopulations)). 0.16/0.45 fof(mp_first_movers_exist, axiom, ![X4, X7]:(((in_environment(X4,X7)&environment(X4))=>greater_or_equal(cardinality_at_time(first_movers,X7),zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp_first_movers_exist)). 0.16/0.45 fof(mp1_high_growth_rates, axiom, ![X4, X5, X6, X7]:((selection_favors(X6,X5,X7)<=((greater(growth_rate(X6,X7),growth_rate(X5,X7))&subpopulations(X5,X6,X4,X7))&environment(X4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mp1_high_growth_rates)). 0.16/0.45 fof(c_0_18, plain, ![X1, X2, X3]:(((greater(X1,X2)&greater(X2,X3))=>greater(X1,X3))), inference(fof_simplification,[status(thm)],[mp_greater_transitivity])). 0.16/0.45 fof(c_0_19, plain, ![X46, X47]:((((~greater(X46,X47)|greater_or_equal(X46,X47))&(X47!=X46|greater_or_equal(X46,X47)))&(~greater_or_equal(X46,X47)|(greater(X46,X47)|X47=X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])])). 0.16/0.45 fof(c_0_20, plain, ![X40]:((~environment(X40)|greater_or_equal(critical_point(X40),start_time(X40)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_of_critical_point])])). 0.16/0.45 fof(c_0_21, plain, ![X9]:(((observational_period(X9)&slow_change(X9))=>![X4]:(((in_environment(X9,X4)&environment(X4))=>?[X7]:((in_environment(X4,X7)&greater(X7,critical_point(X4)))))))), inference(fof_simplification,[status(thm)],[mp4_critical_point])). 0.16/0.45 fof(c_0_22, negated_conjecture, ~(![X9]:(((slow_change(X9)&observational_period(X9))=>selection_favors(efficient_producers,first_movers,X9)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_t8])])). 0.16/0.45 fof(c_0_23, plain, ![X43, X44, X45]:((~greater(X43,X44)|~greater(X44,X45)|greater(X43,X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])). 0.16/0.45 cnf(c_0_24, plain, (greater(X1,X2)|X2=X1|~greater_or_equal(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.45 cnf(c_0_25, plain, (greater_or_equal(critical_point(X1),start_time(X1))|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_20])). 0.16/0.45 fof(c_0_26, plain, ![X4, X7]:(((environment(X4)&in_environment(X4,X7))=>greater_or_equal(end_time(X4),X7))), inference(fof_simplification,[status(thm)],[mp_environment_end_point])). 0.16/0.45 fof(c_0_27, plain, ![X11, X12]:(((in_environment(X12,esk2_2(X11,X12))|(~in_environment(X11,X12)|~environment(X12))|(~observational_period(X11)|~slow_change(X11)))&(greater(esk2_2(X11,X12),critical_point(X12))|(~in_environment(X11,X12)|~environment(X12))|(~observational_period(X11)|~slow_change(X11))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])])). 0.16/0.45 fof(c_0_28, negated_conjecture, ((slow_change(esk1_0)&observational_period(esk1_0))&~selection_favors(efficient_producers,first_movers,esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])). 0.16/0.45 cnf(c_0_29, plain, (greater(X1,X3)|~greater(X1,X2)|~greater(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_23])). 0.16/0.45 cnf(c_0_30, plain, (start_time(X1)=critical_point(X1)|greater(critical_point(X1),start_time(X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.16/0.45 fof(c_0_31, plain, ![X38, X39]:((~environment(X38)|~in_environment(X38,X39)|greater_or_equal(end_time(X38),X39))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])). 0.16/0.45 cnf(c_0_32, plain, (in_environment(X1,esk2_2(X2,X1))|~in_environment(X2,X1)|~environment(X1)|~observational_period(X2)|~slow_change(X2)), inference(split_conjunct,[status(thm)],[c_0_27])). 0.16/0.45 cnf(c_0_33, negated_conjecture, (slow_change(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.16/0.45 cnf(c_0_34, negated_conjecture, (observational_period(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.16/0.45 cnf(c_0_35, plain, (start_time(X1)=critical_point(X1)|greater(X2,start_time(X1))|~environment(X1)|~greater(X2,critical_point(X1))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.16/0.45 cnf(c_0_36, plain, (greater(esk2_2(X1,X2),critical_point(X2))|~in_environment(X1,X2)|~environment(X2)|~observational_period(X1)|~slow_change(X1)), inference(split_conjunct,[status(thm)],[c_0_27])). 0.16/0.45 cnf(c_0_37, plain, (greater_or_equal(end_time(X1),X2)|~environment(X1)|~in_environment(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 cnf(c_0_38, negated_conjecture, (in_environment(X1,esk2_2(esk1_0,X1))|~in_environment(esk1_0,X1)|~environment(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])])). 0.16/0.45 fof(c_0_39, plain, ![X36, X37]:((~greater_or_equal(end_time(X36),X37)|~greater_or_equal(X37,start_time(X36))|~environment(X36)|in_environment(X36,X37))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_in_environment])])). 0.16/0.45 fof(c_0_40, plain, ![X9]:(((((observational_period(X9)&propagation_strategy(first_movers))&![X4]:(((in_environment(X9,X4)&environment(X4))=>selection_favors(efficient_producers,first_movers,end_time(X4)))))&propagation_strategy(efficient_producers))=>selection_favors(efficient_producers,first_movers,X9))), inference(fof_simplification,[status(thm)],[mp3_favoured_trategy])). 0.16/0.45 cnf(c_0_41, plain, (start_time(X1)=critical_point(X1)|greater(X2,start_time(X1))|~environment(X1)|~greater(X3,critical_point(X1))|~greater(X2,X3)), inference(spm,[status(thm)],[c_0_29, c_0_35])). 0.16/0.45 cnf(c_0_42, negated_conjecture, (greater(esk2_2(esk1_0,X1),critical_point(X1))|~in_environment(esk1_0,X1)|~environment(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_33]), c_0_34])])). 0.16/0.45 cnf(c_0_43, negated_conjecture, (greater_or_equal(end_time(X1),esk2_2(esk1_0,X1))|~in_environment(esk1_0,X1)|~environment(X1)), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.16/0.45 cnf(c_0_44, plain, (in_environment(X1,X2)|~greater_or_equal(end_time(X1),X2)|~greater_or_equal(X2,start_time(X1))|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_39])). 0.16/0.45 cnf(c_0_45, plain, (greater_or_equal(X1,X2)|~greater(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.45 cnf(c_0_46, plain, (greater_or_equal(X2,X1)|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.45 fof(c_0_47, plain, ![X14]:((((in_environment(X14,esk3_1(X14))|(~observational_period(X14)|~propagation_strategy(first_movers))|~propagation_strategy(efficient_producers)|selection_favors(efficient_producers,first_movers,X14))&(environment(esk3_1(X14))|(~observational_period(X14)|~propagation_strategy(first_movers))|~propagation_strategy(efficient_producers)|selection_favors(efficient_producers,first_movers,X14)))&(~selection_favors(efficient_producers,first_movers,end_time(esk3_1(X14)))|(~observational_period(X14)|~propagation_strategy(first_movers))|~propagation_strategy(efficient_producers)|selection_favors(efficient_producers,first_movers,X14)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])). 0.16/0.45 fof(c_0_48, hypothesis, ![X4, X7]:((((greater_or_equal(X7,appear(efficient_producers,X4))&in_environment(X4,X7))&environment(X4))=>greater(cardinality_at_time(efficient_producers,X7),zero))), inference(fof_simplification,[status(thm)],[t6])). 0.16/0.45 fof(c_0_49, plain, ![X35]:((~environment(X35)|greater_or_equal(critical_point(X35),appear(efficient_producers,X35)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_critical_point_after_EP])])). 0.16/0.45 cnf(c_0_50, negated_conjecture, (start_time(X1)=critical_point(X1)|greater(X2,start_time(X1))|~in_environment(esk1_0,X1)|~environment(X1)|~greater(X2,esk2_2(esk1_0,X1))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 0.16/0.45 cnf(c_0_51, negated_conjecture, (esk2_2(esk1_0,X1)=end_time(X1)|greater(end_time(X1),esk2_2(esk1_0,X1))|~in_environment(esk1_0,X1)|~environment(X1)), inference(spm,[status(thm)],[c_0_24, c_0_43])). 0.16/0.45 cnf(c_0_52, plain, (in_environment(X1,X2)|~greater_or_equal(end_time(X1),X2)|~environment(X1)|~greater(X2,start_time(X1))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.16/0.45 cnf(c_0_53, plain, (greater_or_equal(X1,X1)), inference(er,[status(thm)],[c_0_46])). 0.16/0.45 cnf(c_0_54, plain, (in_environment(X1,esk3_1(X1))|selection_favors(efficient_producers,first_movers,X1)|~observational_period(X1)|~propagation_strategy(first_movers)|~propagation_strategy(efficient_producers)), inference(split_conjunct,[status(thm)],[c_0_47])). 0.16/0.45 cnf(c_0_55, plain, (propagation_strategy(first_movers)), inference(split_conjunct,[status(thm)],[mp_organizational_sets1])). 0.16/0.45 cnf(c_0_56, plain, (propagation_strategy(efficient_producers)), inference(split_conjunct,[status(thm)],[mp_organizational_sets2])). 0.16/0.45 cnf(c_0_57, plain, (environment(esk3_1(X1))|selection_favors(efficient_producers,first_movers,X1)|~observational_period(X1)|~propagation_strategy(first_movers)|~propagation_strategy(efficient_producers)), inference(split_conjunct,[status(thm)],[c_0_47])). 0.16/0.45 cnf(c_0_58, negated_conjecture, (greater(X1,critical_point(X2))|~in_environment(esk1_0,X2)|~environment(X2)|~greater(X1,esk2_2(esk1_0,X2))), inference(spm,[status(thm)],[c_0_29, c_0_42])). 0.16/0.45 fof(c_0_59, hypothesis, ![X33, X34]:((~greater_or_equal(X34,appear(efficient_producers,X33))|~in_environment(X33,X34)|~environment(X33)|greater(cardinality_at_time(efficient_producers,X34),zero))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])). 0.16/0.45 cnf(c_0_60, plain, (greater_or_equal(critical_point(X1),appear(efficient_producers,X1))|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_49])). 0.16/0.45 cnf(c_0_61, negated_conjecture, (esk2_2(esk1_0,X1)=end_time(X1)|start_time(X1)=critical_point(X1)|greater(end_time(X1),start_time(X1))|~in_environment(esk1_0,X1)|~environment(X1)), inference(spm,[status(thm)],[c_0_50, c_0_51])). 0.16/0.45 cnf(c_0_62, plain, (in_environment(X1,end_time(X1))|~environment(X1)|~greater(end_time(X1),start_time(X1))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.16/0.45 cnf(c_0_63, plain, (in_environment(X1,esk3_1(X1))|selection_favors(efficient_producers,first_movers,X1)|~observational_period(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_55]), c_0_56])])). 0.16/0.45 cnf(c_0_64, negated_conjecture, (~selection_favors(efficient_producers,first_movers,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.16/0.45 cnf(c_0_65, plain, (environment(esk3_1(X1))|selection_favors(efficient_producers,first_movers,X1)|~observational_period(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_55]), c_0_56])])). 0.16/0.45 cnf(c_0_66, negated_conjecture, (esk2_2(esk1_0,X1)=end_time(X1)|greater(end_time(X1),critical_point(X1))|~in_environment(esk1_0,X1)|~environment(X1)), inference(spm,[status(thm)],[c_0_58, c_0_51])). 0.16/0.45 fof(c_0_67, hypothesis, ![X4, X8]:(((environment(X4)&critical_point(X4)=X8)=>(![X7]:(((subpopulations(first_movers,efficient_producers,X4,X7)&greater(X7,X8))=>greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))))&~greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))))), inference(fof_simplification,[status(thm)],[d1])). 0.16/0.45 fof(c_0_68, plain, ![X4, X5, X6, X7]:((((((environment(X4)&subpopulation(X5,X4,X7))&subpopulation(X6,X4,X7))&zero=cardinality_at_time(X6,X7))&greater(cardinality_at_time(X5,X7),zero))=>selection_favors(X5,X6,X7))), inference(fof_simplification,[status(thm)],[mp2_favour_members])). 0.16/0.45 cnf(c_0_69, hypothesis, (greater(cardinality_at_time(efficient_producers,X1),zero)|~greater_or_equal(X1,appear(efficient_producers,X2))|~in_environment(X2,X1)|~environment(X2)), inference(split_conjunct,[status(thm)],[c_0_59])). 0.16/0.45 cnf(c_0_70, plain, (appear(efficient_producers,X1)=critical_point(X1)|greater(critical_point(X1),appear(efficient_producers,X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_24, c_0_60])). 0.16/0.45 cnf(c_0_71, negated_conjecture, (start_time(X1)=critical_point(X1)|in_environment(X1,end_time(X1))|~in_environment(esk1_0,X1)|~environment(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_61]), c_0_62])). 0.16/0.45 cnf(c_0_72, negated_conjecture, (in_environment(esk1_0,esk3_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_34]), c_0_64])). 0.16/0.45 cnf(c_0_73, negated_conjecture, (environment(esk3_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_34]), c_0_64])). 0.16/0.45 cnf(c_0_74, negated_conjecture, (greater(end_time(X1),critical_point(X1))|~in_environment(esk1_0,X1)|~environment(X1)), inference(spm,[status(thm)],[c_0_42, c_0_66])). 0.16/0.45 fof(c_0_75, hypothesis, ![X28, X29, X30]:(((~subpopulations(first_movers,efficient_producers,X28,X30)|~greater(X30,X29)|greater(growth_rate(efficient_producers,X30),growth_rate(first_movers,X30))|(~environment(X28)|critical_point(X28)!=X29))&(~greater(growth_rate(efficient_producers,X29),growth_rate(first_movers,X29))|(~environment(X28)|critical_point(X28)!=X29)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])])). 0.16/0.45 fof(c_0_76, plain, ![X4, X7]:(((((environment(X4)&greater(cardinality_at_time(first_movers,X7),zero))&greater(cardinality_at_time(efficient_producers,X7),zero))&in_environment(X4,X7))=>subpopulations(first_movers,efficient_producers,X4,X7))), inference(fof_simplification,[status(thm)],[mp_contains_FM_and_EP])). 0.16/0.45 fof(c_0_77, plain, ![X20, X21, X22, X23]:((~environment(X20)|~subpopulation(X21,X20,X23)|~subpopulation(X22,X20,X23)|zero!=cardinality_at_time(X22,X23)|~greater(cardinality_at_time(X21,X23),zero)|selection_favors(X21,X22,X23))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])). 0.16/0.45 fof(c_0_78, plain, ![X24, X25]:(((subpopulation(first_movers,X24,X25)|(~in_environment(X24,X25)|~environment(X24)))&(subpopulation(efficient_producers,X24,X25)|(~in_environment(X24,X25)|~environment(X24))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_subpopulations])])])). 0.16/0.45 cnf(c_0_79, hypothesis, (greater(cardinality_at_time(efficient_producers,X1),zero)|~in_environment(X2,X1)|~environment(X2)|~greater(X1,appear(efficient_producers,X2))), inference(spm,[status(thm)],[c_0_69, c_0_45])). 0.16/0.45 cnf(c_0_80, plain, (appear(efficient_producers,X1)=critical_point(X1)|greater(X2,appear(efficient_producers,X1))|~environment(X1)|~greater(X2,critical_point(X1))), inference(spm,[status(thm)],[c_0_29, c_0_70])). 0.16/0.45 cnf(c_0_81, negated_conjecture, (start_time(esk3_1(esk1_0))=critical_point(esk3_1(esk1_0))|in_environment(esk3_1(esk1_0),end_time(esk3_1(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73])])). 0.16/0.45 cnf(c_0_82, negated_conjecture, (greater(end_time(esk3_1(esk1_0)),critical_point(esk3_1(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_72]), c_0_73])])). 0.16/0.45 cnf(c_0_83, plain, (in_environment(X1,critical_point(X1))|~greater_or_equal(end_time(X1),critical_point(X1))|~environment(X1)), inference(spm,[status(thm)],[c_0_44, c_0_25])). 0.16/0.45 cnf(c_0_84, hypothesis, (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))|~subpopulations(first_movers,efficient_producers,X1,X2)|~greater(X2,X3)|~environment(X1)|critical_point(X1)!=X3), inference(split_conjunct,[status(thm)],[c_0_75])). 0.16/0.45 fof(c_0_85, plain, ![X31, X32]:((~environment(X31)|~greater(cardinality_at_time(first_movers,X32),zero)|~greater(cardinality_at_time(efficient_producers,X32),zero)|~in_environment(X31,X32)|subpopulations(first_movers,efficient_producers,X31,X32))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])). 0.16/0.45 cnf(c_0_86, plain, (selection_favors(X2,X4,X3)|~environment(X1)|~subpopulation(X2,X1,X3)|~subpopulation(X4,X1,X3)|zero!=cardinality_at_time(X4,X3)|~greater(cardinality_at_time(X2,X3),zero)), inference(split_conjunct,[status(thm)],[c_0_77])). 0.16/0.45 cnf(c_0_87, plain, (subpopulation(first_movers,X1,X2)|~in_environment(X1,X2)|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_78])). 0.16/0.45 cnf(c_0_88, plain, (selection_favors(efficient_producers,first_movers,X1)|~selection_favors(efficient_producers,first_movers,end_time(esk3_1(X1)))|~observational_period(X1)|~propagation_strategy(first_movers)|~propagation_strategy(efficient_producers)), inference(split_conjunct,[status(thm)],[c_0_47])). 0.16/0.45 cnf(c_0_89, hypothesis, (appear(efficient_producers,X1)=critical_point(X1)|greater(cardinality_at_time(efficient_producers,X2),zero)|~in_environment(X1,X2)|~environment(X1)|~greater(X2,critical_point(X1))), inference(spm,[status(thm)],[c_0_79, c_0_80])). 0.16/0.45 cnf(c_0_90, negated_conjecture, (in_environment(esk3_1(esk1_0),end_time(esk3_1(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_81]), c_0_73]), c_0_82])])). 0.16/0.45 cnf(c_0_91, plain, (in_environment(X1,critical_point(X1))|~environment(X1)|~greater(end_time(X1),critical_point(X1))), inference(spm,[status(thm)],[c_0_83, c_0_45])). 0.16/0.45 cnf(c_0_92, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~environment(X2)|~subpopulations(first_movers,efficient_producers,X2,X1)|~greater(X1,critical_point(X2))), inference(er,[status(thm)],[c_0_84])). 0.16/0.45 cnf(c_0_93, plain, (subpopulations(first_movers,efficient_producers,X1,X2)|~environment(X1)|~greater(cardinality_at_time(first_movers,X2),zero)|~greater(cardinality_at_time(efficient_producers,X2),zero)|~in_environment(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_85])). 0.16/0.45 fof(c_0_94, plain, ![X26, X27]:((~in_environment(X26,X27)|~environment(X26)|greater_or_equal(cardinality_at_time(first_movers,X27),zero))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_first_movers_exist])])). 0.16/0.45 cnf(c_0_95, plain, (selection_favors(X1,first_movers,X2)|cardinality_at_time(first_movers,X2)!=zero|~subpopulation(X1,X3,X2)|~in_environment(X3,X2)|~environment(X3)|~greater(cardinality_at_time(X1,X2),zero)), inference(spm,[status(thm)],[c_0_86, c_0_87])). 0.16/0.45 cnf(c_0_96, plain, (subpopulation(efficient_producers,X1,X2)|~in_environment(X1,X2)|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_78])). 0.16/0.45 cnf(c_0_97, plain, (selection_favors(efficient_producers,first_movers,X1)|~observational_period(X1)|~selection_favors(efficient_producers,first_movers,end_time(esk3_1(X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_55]), c_0_56])])). 0.16/0.45 cnf(c_0_98, negated_conjecture, (appear(efficient_producers,esk3_1(esk1_0))=critical_point(esk3_1(esk1_0))|greater(cardinality_at_time(efficient_producers,end_time(esk3_1(esk1_0))),zero)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_82]), c_0_90]), c_0_73])])). 0.16/0.45 cnf(c_0_99, negated_conjecture, (in_environment(esk3_1(esk1_0),critical_point(esk3_1(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_82]), c_0_73])])). 0.16/0.45 cnf(c_0_100, hypothesis, (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X2,X1)|~environment(X2)|~greater(cardinality_at_time(first_movers,X1),zero)|~greater(cardinality_at_time(efficient_producers,X1),zero)|~greater(X1,critical_point(X2))), inference(spm,[status(thm)],[c_0_92, c_0_93])). 0.16/0.45 cnf(c_0_101, plain, (greater_or_equal(cardinality_at_time(first_movers,X2),zero)|~in_environment(X1,X2)|~environment(X1)), inference(split_conjunct,[status(thm)],[c_0_94])). 0.16/0.45 cnf(c_0_102, plain, (selection_favors(efficient_producers,first_movers,X1)|cardinality_at_time(first_movers,X1)!=zero|~in_environment(X2,X1)|~environment(X2)|~greater(cardinality_at_time(efficient_producers,X1),zero)), inference(spm,[status(thm)],[c_0_95, c_0_96])). 0.16/0.45 cnf(c_0_103, negated_conjecture, (~selection_favors(efficient_producers,first_movers,end_time(esk3_1(esk1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_34]), c_0_64])). 0.16/0.45 cnf(c_0_104, hypothesis, (greater(cardinality_at_time(efficient_producers,end_time(esk3_1(esk1_0))),zero)|greater(cardinality_at_time(efficient_producers,X1),zero)|~greater_or_equal(X1,critical_point(esk3_1(esk1_0)))|~in_environment(esk3_1(esk1_0),X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_98]), c_0_73])])). 0.16/0.45 cnf(c_0_105, negated_conjecture, (greater_or_equal(end_time(esk3_1(esk1_0)),critical_point(esk3_1(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_99]), c_0_73])])). 0.16/0.45 fof(c_0_106, plain, ![X4, X5, X6, X7]:((((greater(growth_rate(X6,X7),growth_rate(X5,X7))&subpopulations(X5,X6,X4,X7))&environment(X4))=>selection_favors(X6,X5,X7))), inference(fof_simplification,[status(thm)],[mp1_high_growth_rates])). 0.16/0.45 cnf(c_0_107, hypothesis, (greater(growth_rate(efficient_producers,end_time(esk3_1(esk1_0))),growth_rate(first_movers,end_time(esk3_1(esk1_0))))|~in_environment(esk3_1(esk1_0),end_time(esk3_1(esk1_0)))|~greater(cardinality_at_time(first_movers,end_time(esk3_1(esk1_0))),zero)|~greater(cardinality_at_time(efficient_producers,end_time(esk3_1(esk1_0))),zero)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_82]), c_0_73])])). 0.16/0.45 cnf(c_0_108, negated_conjecture, (greater_or_equal(cardinality_at_time(first_movers,end_time(esk3_1(esk1_0))),zero)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_90]), c_0_73])])). 0.16/0.45 cnf(c_0_109, negated_conjecture, (cardinality_at_time(first_movers,end_time(esk3_1(esk1_0)))!=zero|~greater(cardinality_at_time(efficient_producers,end_time(esk3_1(esk1_0))),zero)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_90]), c_0_73])]), c_0_103])). 0.16/0.45 cnf(c_0_110, negated_conjecture, (greater(cardinality_at_time(efficient_producers,end_time(esk3_1(esk1_0))),zero)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_90])])). 0.16/0.45 fof(c_0_111, plain, ![X16, X17, X18, X19]:((~greater(growth_rate(X18,X19),growth_rate(X17,X19))|~subpopulations(X17,X18,X16,X19)|~environment(X16)|selection_favors(X18,X17,X19))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_106])])). 0.16/0.45 cnf(c_0_112, hypothesis, (greater(growth_rate(efficient_producers,end_time(esk3_1(esk1_0))),growth_rate(first_movers,end_time(esk3_1(esk1_0))))|~greater(cardinality_at_time(first_movers,end_time(esk3_1(esk1_0))),zero)|~greater(cardinality_at_time(efficient_producers,end_time(esk3_1(esk1_0))),zero)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_90])])). 0.16/0.45 cnf(c_0_113, negated_conjecture, (cardinality_at_time(first_movers,end_time(esk3_1(esk1_0)))=zero|greater(cardinality_at_time(first_movers,end_time(esk3_1(esk1_0))),zero)), inference(spm,[status(thm)],[c_0_24, c_0_108])). 0.16/0.45 cnf(c_0_114, negated_conjecture, (cardinality_at_time(first_movers,end_time(esk3_1(esk1_0)))!=zero), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109, c_0_110])])). 0.16/0.45 cnf(c_0_115, plain, (selection_favors(X1,X3,X2)|~greater(growth_rate(X1,X2),growth_rate(X3,X2))|~subpopulations(X3,X1,X4,X2)|~environment(X4)), inference(split_conjunct,[status(thm)],[c_0_111])). 0.16/0.45 cnf(c_0_116, hypothesis, (greater(growth_rate(efficient_producers,end_time(esk3_1(esk1_0))),growth_rate(first_movers,end_time(esk3_1(esk1_0))))|~greater(cardinality_at_time(first_movers,end_time(esk3_1(esk1_0))),zero)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112, c_0_110])])). 0.16/0.45 cnf(c_0_117, negated_conjecture, (greater(cardinality_at_time(first_movers,end_time(esk3_1(esk1_0))),zero)), inference(sr,[status(thm)],[c_0_113, c_0_114])). 0.16/0.45 cnf(c_0_118, plain, (selection_favors(efficient_producers,first_movers,X1)|~in_environment(X2,X1)|~environment(X2)|~greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~greater(cardinality_at_time(first_movers,X1),zero)|~greater(cardinality_at_time(efficient_producers,X1),zero)), inference(spm,[status(thm)],[c_0_115, c_0_93])). 0.16/0.45 cnf(c_0_119, hypothesis, (greater(growth_rate(efficient_producers,end_time(esk3_1(esk1_0))),growth_rate(first_movers,end_time(esk3_1(esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_117])])). 0.16/0.45 cnf(c_0_120, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_90]), c_0_73])]), c_0_103]), c_0_119]), c_0_117]), c_0_110])]), ['proof']). 0.16/0.45 # SZS output end CNFRefutation 0.16/0.45 # Parsed axioms : 19 0.16/0.45 # Removed by relevancy pruning/SinE : 0 0.16/0.45 # Initial clauses : 28 0.16/0.45 # Removed in clause preprocessing : 0 0.16/0.45 # Initial clauses in saturation : 28 0.16/0.45 # Processed clauses : 192 0.16/0.45 # ...of these trivial : 0 0.16/0.45 # ...subsumed : 5 0.16/0.45 # ...remaining for further processing : 186 0.16/0.45 # Other redundant clauses eliminated : 3 0.16/0.45 # Clauses deleted for lack of memory : 0 0.16/0.45 # Backward-subsumed : 11 0.16/0.45 # Backward-rewritten : 14 0.16/0.45 # Generated clauses : 271 0.16/0.45 # ...of the previous two non-redundant : 247 0.16/0.45 # ...aggressively subsumed : 0 0.16/0.45 # Contextual simplify-reflections : 1 0.16/0.45 # Paramodulations : 267 0.16/0.45 # Factorizations : 0 0.16/0.45 # NegExts : 0 0.16/0.45 # Equation resolutions : 3 0.16/0.45 # Propositional unsat checks : 0 0.16/0.45 # Propositional check models : 0 0.16/0.45 # Propositional check unsatisfiable : 0 0.16/0.45 # Propositional clauses : 0 0.16/0.45 # Propositional clauses after purity: 0 0.16/0.45 # Propositional unsat core size : 0 0.16/0.45 # Propositional preprocessing time : 0.000 0.16/0.45 # Propositional encoding time : 0.000 0.16/0.45 # Propositional solver time : 0.000 0.16/0.45 # Success case prop preproc time : 0.000 0.16/0.45 # Success case prop encoding time : 0.000 0.16/0.45 # Success case prop solver time : 0.000 0.16/0.45 # Current number of processed clauses : 129 0.16/0.45 # Positive orientable unit clauses : 16 0.16/0.45 # Positive unorientable unit clauses: 0 0.16/0.45 # Negative unit clauses : 3 0.16/0.45 # Non-unit-clauses : 110 0.16/0.45 # Current number of unprocessed clauses: 96 0.16/0.45 # ...number of literals in the above : 538 0.16/0.45 # Current number of archived formulas : 0 0.16/0.45 # Current number of archived clauses : 54 0.16/0.45 # Clause-clause subsumption calls (NU) : 5085 0.16/0.45 # Rec. Clause-clause subsumption calls : 1861 0.16/0.45 # Non-unit clause-clause subsumptions : 13 0.16/0.45 # Unit Clause-clause subsumption calls : 71 0.16/0.45 # Rewrite failures with RHS unbound : 0 0.16/0.45 # BW rewrite match attempts : 12 0.16/0.45 # BW rewrite match successes : 4 0.16/0.45 # Condensation attempts : 0 0.16/0.45 # Condensation successes : 0 0.16/0.45 # Termbank termtop insertions : 10077 0.16/0.45 0.16/0.45 # ------------------------------------------------- 0.16/0.45 # User time : 0.020 s 0.16/0.45 # System time : 0.003 s 0.16/0.45 # Total time : 0.023 s 0.16/0.45 # Maximum resident set size: 1880 pages 0.16/0.45 0.16/0.45 # ------------------------------------------------- 0.16/0.45 # User time : 0.022 s 0.16/0.45 # System time : 0.004 s 0.16/0.45 # Total time : 0.026 s 0.16/0.45 # Maximum resident set size: 1752 pages 0.16/0.45 EOF