TSTP Solution File: MGT034+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 Jul 23 06:10:38 EDT 2022
% Result : Theorem 7.09s 7.24s
% Output : Refutation 7.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n010.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 : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 11:08:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.09/7.24 GeoParameters:
% 7.09/7.24
% 7.09/7.24 tptp_input = 1
% 7.09/7.24 tptp_output = 0
% 7.09/7.24 nonempty = 1
% 7.09/7.24 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.09/7.24 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 7.09/7.24
% 7.09/7.24
% 7.09/7.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.09/7.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.09/7.24
% 7.09/7.24 RuleSystem INPUT:
% 7.09/7.24
% 7.09/7.24 Initial Rules:
% 7.09/7.24 #0: input, references = 4, size of lhs = 5:
% 7.09/7.24 P_growth_rate-{F}(V1,V2,V3), P_growth_rate-{F}(V0,V2,V4), greater-{F}(V3,V4), environment-{F}(V5), subpopulations-{F}(V0,V1,V5,V2) | selection_favors-{T}(V1,V0,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1: input, references = 5, size of lhs = 8:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_disbanding_rate-{F}(V0,V2,V3), P_disbanding_rate-{F}(V1,V2,V4), P_difference-{F}(V3,V4,V5), decreases-{F}(V5), environment-{F}(V6), subpopulations-{F}(V0,V1,V6,V2) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #2: input, references = 16, size of lhs = 5:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_critical_point-{F}(V2,V3), environment-{F}(V2), in_environment-{F}(V2,V3) | subpopulations-{T}(V0,V1,V2,V3)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #3: input, references = 6, size of lhs = 5:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_appear-{F}(V1,V2,V3), environment-{F}(V2), in_environment-{F}(V2,V3) | subpopulations-{T}(V0,V1,V2,V3)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #4: input, references = 4, size of lhs = 12:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_founding_rate-{F}(V0,V2,V3), P_founding_rate-{F}(V1,V2,V4), P_difference-{F}(V3,V4,V5), P_disbanding_rate-{F}(V0,V2,V6), P_disbanding_rate-{F}(V1,V2,V7), P_difference-{F}(V6,V7,V8), P_growth_rate-{F}(V0,V2,V9), P_growth_rate-{F}(V1,V2,V10), P_difference-{F}(V9,V10,V11), decreases-{F}(V5) | decreases-{T}(V8), decreases-{T}(V11)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #5: input, references = 6, size of lhs = 16:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), decreases-{F}(V6), P_growth_rate-{F}(V0,V7,V8), P_growth_rate-{F}(V1,V7,V9), P_difference-{F}(V8,V9,V10), greater_or_equal-{F}(V10,V2), greater-{F}(V7,V3), P_appear-{F}(V1,V11,V12), environment-{F}(V11), in_environment-{F}(V11,V7), greater_or_equal-{F}(V3,V12) | greater-{T}(V6,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #6: input, references = 8, size of lhs = 7:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), greater-{F}(V2,V6) | greater-{T}(V5,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #7: input, references = 4, size of lhs = 7:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), greater-{F}(V5,V4) | greater-{T}(V2,V6)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #8: input, references = 5, size of lhs = 7:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), greater-{F}(V6,V2) | greater-{T}(V4,V5)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #9: input, references = 5, size of lhs = 7:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), greater-{F}(V4,V5) | greater-{T}(V6,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #10: input, references = 6, size of lhs = 8:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V5), greater_or_equal-{F}(V4,V5), in_environment-{F}(V3,V6), greater_or_equal-{F}(V6,V4) | in_environment-{T}(V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #11: input, references = 4, size of lhs = 5:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_start_time-{F}(V3,V4), environment-{F}(V3) | in_environment-{T}(V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #12: input, references = 7, size of lhs = 6:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_appear-{F}(V0,V3,V4), P_start_time-{F}(V3,V5), environment-{F}(V3) | greater_or_equal-{T}(V4,V5)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #13: input, references = 5, size of lhs = 9:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_critical_point-{F}(V3,V4), P_appear-{F}(V1,V3,V5), environment-{F}(V3), in_environment-{F}(V3,V4), greater_or_equal-{F}(V6,V5), greater-{F}(V4,V6) | in_environment-{T}(V3,V6)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #14: input, references = 4, size of lhs = 9:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_cardinality_at_time-{F}(V0,V3,V4), P_cardinality_at_time-{F}(V1,V3,V5), greater-{F}(V4,V2), greater-{F}(V5,V2), environment-{F}(V6), in_environment-{F}(V6,V3) | subpopulations-{T}(V0,V1,V6,V3)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #15: input, references = 4, size of lhs = 5:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4) | subpopulations-{T}(V1,V0,V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #16: input, references = 7, size of lhs = 6:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_appear-{F}(V1,V3,V4), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V5) | greater_or_equal-{T}(V5,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #17: input, references = 12, size of lhs = 4:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V3,V4) | pppp0-{T}(V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #18: input, references = 10, size of lhs = 4:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp0-{F}(V3,V4) | greater_or_equal-{T}(V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #19: input, references = 12, size of lhs = 5:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp0-{F}(V3,V4), V3 == V4 | greater-{T}(V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #20: input, references = 8, size of lhs = 4:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V3,V4) | pppp0-{T}(V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #21: input, references = 5, size of lhs = 4:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), #-{F} V4 | pppp0-{T}(V4,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #22: input, references = 6, size of lhs = 8:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), environment-{F}(V7), subpopulations-{F}(V0,V1,V7,V3) | greater-{T}(V2,V6), greater_or_equal-{T}(V6,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #23: input, references = 12, size of lhs = 8:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_critical_point-{F}(V3,V4), environment-{F}(V3), P_growth_rate-{F}(V1,V4,V6), P_growth_rate-{F}(V0,V4,V7), greater-{F}(V6,V7) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #24: input, references = 5, size of lhs = 11:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_critical_point-{F}(V3,V4), environment-{F}(V3), P_growth_rate-{F}(V1,V4,V6), P_growth_rate-{F}(V0,V4,V7), P_growth_rate-{F}(V1,V8,V9), P_growth_rate-{F}(V0,V8,V10), subpopulations-{F}(V0,V1,V3,V8), greater-{F}(V8,V4) | greater-{T}(V9,V10)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #25: input, references = 7, size of lhs = 8:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V4,V5), subpopulations-{F}(V0,V1,V3,V6), greater_or_equal-{F}(V6,V4) | subpopulations-{T}(V0,V1,V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #26: input, references = 8, size of lhs = 8:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_founding_rate-{F}(V0,V3,V4), P_founding_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), environment-{F}(V7), subpopulations-{F}(V0,V1,V7,V3) | decreases-{T}(V6)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #27: input, references = 5, size of lhs = 3:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2) | EXISTS V3: pppp2-{T}(V3,V0,V1)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #28: input, references = 6, size of lhs = 3:
% 7.09/7.24 pppp2-{F}(V0,V1,V2), P_critical_point-{F}(V0,V3), P_appear-{F}(V2,V0,V4) | EXISTS V5: pppp1-{T}(V5,V1,V2,V3,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #29: input, references = 16, size of lhs = 3:
% 7.09/7.24 pppp2-{F}(V0,V1,V2), P_critical_point-{F}(V0,V3), P_appear-{F}(V2,V0,V4) | in_environment-{T}(V0,V3)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #30: input, references = 17, size of lhs = 3:
% 7.09/7.24 pppp2-{F}(V0,V1,V2), P_critical_point-{F}(V0,V3), P_appear-{F}(V2,V0,V4) | environment-{T}(V0)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #31: input, references = 4, size of lhs = 2:
% 7.09/7.24 pppp1-{F}(V0,V1,V2,V3,V4), selection_favors-{F}(V1,V2,V0) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #32: input, references = 9, size of lhs = 1:
% 7.09/7.24 pppp1-{F}(V0,V1,V2,V3,V4) | greater-{T}(V3,V0)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #33: input, references = 6, size of lhs = 1:
% 7.09/7.24 pppp1-{F}(V0,V1,V2,V3,V4) | greater_or_equal-{T}(V0,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #34: input, references = 12, size of lhs = 2:
% 7.09/7.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #35: input, references = 4, size of lhs = 0:
% 7.09/7.24 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #36: input, references = 4, size of lhs = 0:
% 7.09/7.24 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #37: input, references = 18, size of lhs = 2:
% 7.09/7.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #38: input, references = 8, size of lhs = 2:
% 7.09/7.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_disbanding_rate-{T}(V0,V1,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #39: input, references = 5, size of lhs = 1:
% 7.09/7.24 #-{F} V0 | EXISTS V1: P_critical_point-{T}(V0,V1)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #40: input, references = 13, size of lhs = 2:
% 7.09/7.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_appear-{T}(V0,V1,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #41: input, references = 8, size of lhs = 2:
% 7.09/7.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_founding_rate-{T}(V0,V1,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #42: input, references = 5, size of lhs = 0:
% 7.09/7.24 FALSE | EXISTS V0: P_zero-{T}(V0)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #43: input, references = 4, size of lhs = 1:
% 7.09/7.24 #-{F} V0 | EXISTS V1: P_start_time-{T}(V0,V1)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #44: input, references = 3, size of lhs = 2:
% 7.09/7.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_cardinality_at_time-{T}(V0,V1,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 number of initial rules = 45
% 7.09/7.24
% 7.09/7.24 Simplifiers:
% 7.09/7.24 #45: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #46: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #47: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_disbanding_rate-{F}(V0,V1,V2), P_disbanding_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #48: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #49: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #50: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_critical_point-{F}(V0,V1), P_critical_point-{F}(V0,V3), V1 == V3 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #51: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_appear-{F}(V0,V1,V2), P_appear-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #52: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_founding_rate-{F}(V0,V1,V2), P_founding_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #53: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #54: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_start_time-{F}(V0,V1), P_start_time-{F}(V0,V3), V1 == V3 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #55: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 P_cardinality_at_time-{F}(V0,V1,V2), P_cardinality_at_time-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #56: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #57: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #58: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #59: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #60: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V1 == V4 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #61: unsound, references = 3, size of lhs = 3:
% 7.09/7.24 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 number of simplifiers = 17
% 7.09/7.24
% 7.09/7.24 Learnt:
% 7.09/7.24 #112: mergings( V0 == V8, V8 == V11, V11 == V14, V14 == V16, V1 == V9, V9 == V12, V12 == V15, V15 == V17, V10 == V13, V13 == V2, V2 == V18; #100 ), references = 1, size of lhs = 16:
% 7.09/7.24 environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), subpopulations-{F}(V1,V2,V0,V3), P_growth_rate-{F}(V1,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_difference-{F}(V4,V5,V6), P_zero-{F}(V7), V6 == V7, environment-{F}(V8), P_critical_point-{F}(V8,V9), P_growth_rate-{F}(V2,V9,V10), P_growth_rate-{F}(V1,V11,V10), P_growth_rate-{F}(V2,V11,V12), P_growth_rate-{F}(V1,V9,V12), P_difference-{F}(V10,V12,V6) | greater-{T}(V7,V6)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #143: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V22 == V23, V23 == V27, V24 == V30, V25 == V28, V27 == V31, V28 == V32, V30 == V34, V7 == V10, V10 == V15, V15 == V18, V18 == V21, V35 == V36; #118 ), references = 1, size of lhs = 14:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V5), P_difference-{F}(V4,V5,V6), V6 == V2, P_difference-{F}(V5,V4,V6), P_growth_rate-{F}(V1,V7,V4), P_growth_rate-{F}(V0,V7,V5), P_growth_rate-{F}(V1,V8,V4), P_growth_rate-{F}(V0,V8,V5), P_critical_point-{F}(V9,V8), pppp2-{F}(V9,V10,V11) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #166: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V19, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V17 == V20, V23 == V24, V24 == V25, V0 == V1, V25 == V27, V7 == V10, V10 == V15, V15 == V18, V18 == V21, V29 == V31; #144 ), references = 2, size of lhs = 11:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V4), P_growth_rate-{F}(V1,V5,V4), P_growth_rate-{F}(V0,V5,V4), P_growth_rate-{F}(V1,V6,V4), P_growth_rate-{F}(V0,V6,V4), P_critical_point-{F}(V7,V6), pppp2-{F}(V7,V8,V9) | P_difference-{T}(V4,V4,V2)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #187: mergings( V3 == V8, V4 == V9; #184 ), references = 3, size of lhs = 11:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V1,V4), P_founding_rate-{F}(V2,V4,V5), P_founding_rate-{F}(V3,V4,V6), environment-{F}(V7), subpopulations-{F}(V2,V3,V7,V8), P_disbanding_rate-{F}(V2,V8,V5), P_disbanding_rate-{F}(V3,V8,V6) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #210: mergings( V0 == V12, V1 == V13; #207 ), references = 4, size of lhs = 17:
% 7.09/7.24 decreases-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), P_disbanding_rate-{F}(V1,V4,V5), P_disbanding_rate-{F}(V2,V4,V6), P_difference-{F}(V5,V6,V7), P_founding_rate-{F}(V1,V8,V9), P_founding_rate-{F}(V2,V8,V10), P_difference-{F}(V9,V10,V0), P_disbanding_rate-{F}(V1,V8,V11), P_disbanding_rate-{F}(V2,V8,V12), P_difference-{F}(V11,V12,V7), P_growth_rate-{F}(V1,V8,V13), P_growth_rate-{F}(V2,V8,V14), P_difference-{F}(V13,V14,V15) | decreases-{T}(V15)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #220: mergings( V3 == V8, V8 == V10, V10 == V17, V4 == V9, V9 == V11, V11 == V18; #213 ), references = 3, size of lhs = 25:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V1,V5), P_founding_rate-{F}(V3,V5,V6), P_founding_rate-{F}(V4,V5,V7), subpopulations-{F}(V3,V4,V2,V8), P_disbanding_rate-{F}(V3,V8,V9), P_disbanding_rate-{F}(V4,V8,V10), P_difference-{F}(V9,V10,V11), environment-{F}(V12), subpopulations-{F}(V3,V4,V12,V13), P_disbanding_rate-{F}(V3,V13,V14), P_disbanding_rate-{F}(V4,V13,V15), P_difference-{F}(V14,V15,V16), P_founding_rate-{F}(V3,V17,V6), P_founding_rate-{F}(V4,V17,V7), P_disbanding_rate-{F}(V3,V17,V18), P_disbanding_rate-{F}(V4,V17,V19), P_difference-{F}(V18,V19,V11), P_growth_rate-{F}(V3,V17,V20), P_growth_rate-{F}(V4,V17,V21), P_difference-{F}(V20,V21,V16) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #256: mergings( V3 == V8, V8 == V10, V10 == V17, V17 == V20, V20 == V23, V23 == V33, V33 == V35, V4 == V9, V9 == V11, V11 == V18, V18 == V21, V21 == V24, V24 == V34, V34 == V36, V5 == V19, V19 == V22, V22 == V25, V25 == V26, V26 == V37; #236 ), references = 1, size of lhs = 40:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), greater-{F}(V3,V4), greater_or_equal-{F}(V4,V5), P_first_movers-{F}(V6), P_growth_rate-{F}(V6,V3,V7), greater-{F}(V7,V8), P_growth_rate-{F}(V6,V4,V9), P_efficient_producers-{F}(V10), P_appear-{F}(V10,V2,V5), P_growth_rate-{F}(V10,V3,V8), subpopulations-{F}(V6,V10,V0,V11), P_founding_rate-{F}(V6,V11,V7), P_founding_rate-{F}(V10,V11,V8), subpopulations-{F}(V6,V10,V1,V12), P_disbanding_rate-{F}(V6,V12,V13), P_disbanding_rate-{F}(V10,V12,V14), P_difference-{F}(V13,V14,V15), P_growth_rate-{F}(V10,V4,V16), P_difference-{F}(V9,V16,V17), P_zero-{F}(V17), environment-{F}(V18), P_critical_point-{F}(V18,V19), P_growth_rate-{F}(V10,V19,V20), P_growth_rate-{F}(V10,V21,V20), P_growth_rate-{F}(V6,V21,V22), P_difference-{F}(V22,V20,V17), P_growth_rate-{F}(V6,V19,V22), P_growth_rate-{F}(V6,V23,V7), P_growth_rate-{F}(V10,V23,V8), P_founding_rate-{F}(V6,V24,V7), P_founding_rate-{F}(V10,V24,V8), P_disbanding_rate-{F}(V6,V24,V25), P_disbanding_rate-{F}(V10,V24,V26), P_difference-{F}(V25,V26,V15), P_growth_rate-{F}(V6,V24,V27), P_growth_rate-{F}(V10,V24,V28), P_difference-{F}(V27,V28,V17) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #290: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V21, V21 == V23, V4 == V6, V6 == V9, V9 == V12, V12 == V22, V22 == V24, V7 == V10, V10 == V13, V13 == V14, V14 == V25; #275 ), references = 2, size of lhs = 24:
% 7.09/7.24 decreases-{F}(V0), P_zero-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), greater-{F}(V2,V3), greater_or_equal-{F}(V3,V4), P_first_movers-{F}(V5), P_growth_rate-{F}(V5,V2,V6), greater-{F}(V6,V7), P_growth_rate-{F}(V5,V3,V8), P_efficient_producers-{F}(V9), P_appear-{F}(V9,V1,V4), P_growth_rate-{F}(V9,V2,V7), P_growth_rate-{F}(V9,V3,V10), P_difference-{F}(V8,V10,V0), environment-{F}(V11), P_critical_point-{F}(V11,V12), P_growth_rate-{F}(V9,V12,V13), P_growth_rate-{F}(V9,V14,V13), P_growth_rate-{F}(V5,V14,V15), P_difference-{F}(V15,V13,V0), P_growth_rate-{F}(V5,V12,V15), P_growth_rate-{F}(V5,V16,V6), P_growth_rate-{F}(V9,V16,V7) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #313: mergings( V3 == V8, V8 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V35, V35 == V37, V4 == V9, V9 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V36, V36 == V38, V5 == V19, V19 == V22, V22 == V25, V25 == V26, V26 == V39; #293 ), references = 1, size of lhs = 40:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), greater-{F}(V3,V4), greater_or_equal-{F}(V4,V5), P_first_movers-{F}(V6), P_growth_rate-{F}(V6,V3,V7), greater-{F}(V7,V8), P_growth_rate-{F}(V6,V4,V9), P_efficient_producers-{F}(V10), P_appear-{F}(V10,V2,V5), P_growth_rate-{F}(V10,V3,V8), subpopulations-{F}(V6,V10,V0,V11), P_founding_rate-{F}(V6,V11,V12), P_founding_rate-{F}(V10,V11,V13), subpopulations-{F}(V6,V10,V1,V14), P_disbanding_rate-{F}(V6,V14,V15), P_disbanding_rate-{F}(V10,V14,V16), P_difference-{F}(V15,V16,V17), P_growth_rate-{F}(V10,V4,V18), P_difference-{F}(V9,V18,V19), P_zero-{F}(V19), environment-{F}(V20), P_critical_point-{F}(V20,V21), P_growth_rate-{F}(V10,V21,V22), P_growth_rate-{F}(V10,V23,V22), P_growth_rate-{F}(V6,V23,V24), P_difference-{F}(V24,V22,V19), P_growth_rate-{F}(V6,V21,V24), P_growth_rate-{F}(V6,V25,V7), P_growth_rate-{F}(V10,V25,V8), P_founding_rate-{F}(V6,V26,V12), P_founding_rate-{F}(V10,V26,V13), P_disbanding_rate-{F}(V6,V26,V27), P_disbanding_rate-{F}(V10,V26,V28), P_difference-{F}(V27,V28,V17), P_growth_rate-{F}(V6,V26,V29), P_growth_rate-{F}(V10,V26,V30), P_difference-{F}(V29,V30,V19) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #341: mergings( V6 == V7, V33 == V34, V8 == V15, V15 == V22, V22 == V25, V25 == V0, V0 == V35, V35 == V37, V9 == V16, V16 == V23, V23 == V26, V26 == V37, V48 == V49, V19 == V20, V46 == V47, V37 == V36, V42 == V44, V36 == V38, V13 == V14, V3 == V10, V10 == V24, V24 == V27, V27 == V28, V28 == V29, V29 == V39; #315 ), references = 1, size of lhs = 32:
% 7.09/7.24 environment-{F}(V0), P_critical_point-{F}(V0,V1), environment-{F}(V2), environment-{F}(V3), environment-{F}(V4), in_environment-{F}(V4,V5), greater-{F}(V5,V1), greater-{F}(V5,V6), greater_or_equal-{F}(V6,V7), P_first_movers-{F}(V8), subpopulations-{F}(V8,V8,V0,V5), P_appear-{F}(V8,V4,V7), P_efficient_producers-{F}(V8), subpopulations-{F}(V8,V8,V2,V9), P_founding_rate-{F}(V8,V9,V10), subpopulations-{F}(V8,V8,V3,V11), P_disbanding_rate-{F}(V8,V11,V12), P_difference-{F}(V12,V12,V13), P_growth_rate-{F}(V8,V1,V14), P_growth_rate-{F}(V8,V6,V15), P_difference-{F}(V15,V15,V16), P_zero-{F}(V16), environment-{F}(V17), P_critical_point-{F}(V17,V18), P_growth_rate-{F}(V8,V18,V19), P_difference-{F}(V19,V19,V16), P_growth_rate-{F}(V8,V20,V19), P_founding_rate-{F}(V8,V21,V10), P_disbanding_rate-{F}(V8,V21,V22), P_difference-{F}(V22,V22,V13), P_growth_rate-{F}(V8,V21,V23), P_difference-{F}(V23,V23,V16) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #364: mergings( V20 == V21, V28 == V29, V42 == V43, V10 == V11, V40 == V41, V0 == V13, V13 == V16, V16 == V19, V19 == V30, V30 == V32, V14 == V17, V17 == V32, V32 == V31, V37 == V39, V31 == V33, V3 == V6, V6 == V15, V15 == V18, V18 == V23, V23 == V24, V24 == V34; #342 ), references = 4, size of lhs = 30:
% 7.09/7.24 environment-{F}(V0), P_critical_point-{F}(V0,V1), environment-{F}(V2), environment-{F}(V3), environment-{F}(V4), in_environment-{F}(V4,V5), greater-{F}(V5,V1), greater-{F}(V5,V6), greater_or_equal-{F}(V6,V7), P_first_movers-{F}(V8), subpopulations-{F}(V8,V8,V0,V5), P_appear-{F}(V8,V4,V7), P_efficient_producers-{F}(V8), subpopulations-{F}(V8,V8,V2,V9), subpopulations-{F}(V8,V8,V3,V10), P_disbanding_rate-{F}(V8,V10,V11), P_difference-{F}(V11,V11,V12), P_growth_rate-{F}(V8,V1,V13), P_growth_rate-{F}(V8,V6,V14), P_difference-{F}(V14,V14,V15), P_zero-{F}(V15), environment-{F}(V16), P_critical_point-{F}(V16,V17), P_growth_rate-{F}(V8,V17,V18), P_difference-{F}(V18,V18,V15), P_growth_rate-{F}(V8,V19,V18), P_disbanding_rate-{F}(V8,V9,V20), P_difference-{F}(V20,V20,V12), P_growth_rate-{F}(V8,V9,V21), P_difference-{F}(V21,V21,V15) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #414: mergings( V35 == V36, V36 == V37, V37 == V38, V38 == V45, V45 == V46, V32 == V33, V33 == V43, V43 == V44, V6 == V9, V9 == V12, V12 == V17, V17 == V20, V20 == V0, V0 == V25, V25 == V27, V3 == V7, V7 == V10, V10 == V13, V13 == V18, V18 == V21, V21 == V27, V27 == V26, V40 == V42, V26 == V28, V30 == V31, V31 == V39, V42 == V46, V23 == V24, V4 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V29, V47 == V48; #374 ), references = 1, size of lhs = 11:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_difference-{F}(V2,V2,V1), P_growth_rate-{F}(V0,V3,V2), P_growth_rate-{F}(V0,V4,V2), P_start_time-{F}(V5,V4), P_critical_point-{F}(V5,V4), P_disbanding_rate-{F}(V0,V4,V6), P_difference-{F}(V6,V6,V7), pppp2-{F}(V5,V8,V0) | P_appear-{T}(V0,V5,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #466: mergings( V32 == V33, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V27, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V27, V4 == V26, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V21, V21 == V34; #446 ), references = 4, size of lhs = 32:
% 7.09/7.24 environment-{F}(V0), P_critical_point-{F}(V0,V1), greater_or_equal-{F}(V1,V1), environment-{F}(V2), environment-{F}(V3), environment-{F}(V4), P_critical_point-{F}(V4,V5), in_environment-{F}(V4,V5), P_critical_point-{F}(V6,V5), P_first_movers-{F}(V7), subpopulations-{F}(V7,V7,V0,V1), P_appear-{F}(V7,V4,V1), P_efficient_producers-{F}(V7), subpopulations-{F}(V7,V7,V0,V5), subpopulations-{F}(V7,V7,V2,V8), subpopulations-{F}(V7,V7,V3,V9), P_disbanding_rate-{F}(V7,V9,V10), P_difference-{F}(V10,V10,V11), P_growth_rate-{F}(V7,V1,V12), P_difference-{F}(V12,V12,V13), P_zero-{F}(V13), environment-{F}(V14), P_critical_point-{F}(V14,V15), P_growth_rate-{F}(V7,V15,V16), P_difference-{F}(V16,V16,V13), P_growth_rate-{F}(V7,V17,V16), P_disbanding_rate-{F}(V7,V8,V18), P_difference-{F}(V18,V18,V11), P_growth_rate-{F}(V7,V8,V19), P_difference-{F}(V19,V19,V13), P_appear-{F}(V20,V6,V1), pppp2-{F}(V6,V21,V20) | pppp1-{T}(V1,V21,V20,V5,V1)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #510: mergings( V6 == V7, V12 == V13, V16 == V18, V3 == V8; #505 ), references = 1, size of lhs = 21:
% 7.09/7.24 environment-{F}(V0), P_critical_point-{F}(V0,V1), decreases-{F}(V2), P_zero-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4), greater-{F}(V4,V1), greater-{F}(V4,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), subpopulations-{F}(V7,V7,V0,V4), P_efficient_producers-{F}(V7), P_appear-{F}(V7,V3,V6), P_growth_rate-{F}(V7,V1,V8), P_growth_rate-{F}(V7,V5,V9), P_difference-{F}(V9,V9,V2), environment-{F}(V10), P_critical_point-{F}(V10,V11), P_growth_rate-{F}(V7,V11,V12), P_difference-{F}(V12,V12,V2), P_growth_rate-{F}(V7,V13,V12) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #515: exists( #37, #364 ), references = 2, size of lhs = 28:
% 7.09/7.24 environment-{F}(V0), P_critical_point-{F}(V0,V1), environment-{F}(V2), environment-{F}(V3), environment-{F}(V4), in_environment-{F}(V4,V5), greater-{F}(V5,V1), greater-{F}(V5,V6), greater_or_equal-{F}(V6,V7), P_first_movers-{F}(V8), subpopulations-{F}(V8,V8,V0,V5), P_appear-{F}(V8,V4,V7), P_efficient_producers-{F}(V8), subpopulations-{F}(V8,V8,V2,V9), subpopulations-{F}(V8,V8,V3,V10), P_disbanding_rate-{F}(V8,V10,V11), P_disbanding_rate-{F}(V8,V9,V11), P_growth_rate-{F}(V8,V1,V12), P_growth_rate-{F}(V8,V6,V13), P_difference-{F}(V13,V13,V14), P_zero-{F}(V14), environment-{F}(V15), P_critical_point-{F}(V15,V16), P_growth_rate-{F}(V8,V16,V17), P_difference-{F}(V17,V17,V14), P_growth_rate-{F}(V8,V18,V17), P_growth_rate-{F}(V8,V9,V19), P_difference-{F}(V19,V19,V14) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #545: mergings( V17 == V18, V18 == V25, V6 == V9, V9 == V13, V13 == V0, V3 == V7, V7 == V10, V10 == V14, V14 == V0, V21 == V22, V22 == V23, V19 == V25, V4 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V15, V15 == V16, V26 == V27; #525 ), references = 1, size of lhs = 10:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), P_difference-{F}(V2,V2,V1), P_growth_rate-{F}(V0,V3,V2), P_growth_rate-{F}(V0,V4,V2), P_start_time-{F}(V5,V4), P_critical_point-{F}(V5,V4), P_disbanding_rate-{F}(V0,V4,V6), pppp2-{F}(V5,V7,V0) | P_appear-{T}(V0,V5,V4)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #559: mergings( V9 == V19, V19 == V20, V7 == V3, V13 == V21; #552 ), references = 1, size of lhs = 32:
% 7.09/7.24 environment-{F}(V0), P_critical_point-{F}(V0,V1), greater_or_equal-{F}(V1,V1), environment-{F}(V2), environment-{F}(V3), environment-{F}(V4), P_critical_point-{F}(V4,V1), in_environment-{F}(V4,V1), P_critical_point-{F}(V5,V1), environment-{F}(V6), P_critical_point-{F}(V6,V7), P_first_movers-{F}(V8), P_appear-{F}(V8,V4,V1), subpopulations-{F}(V8,V8,V0,V1), P_efficient_producers-{F}(V8), subpopulations-{F}(V8,V8,V2,V9), subpopulations-{F}(V8,V8,V3,V10), P_disbanding_rate-{F}(V8,V10,V11), P_disbanding_rate-{F}(V8,V9,V11), P_growth_rate-{F}(V8,V1,V12), P_difference-{F}(V12,V12,V13), P_zero-{F}(V13), P_growth_rate-{F}(V8,V7,V14), P_difference-{F}(V14,V14,V13), P_growth_rate-{F}(V8,V15,V14), P_growth_rate-{F}(V8,V9,V16), P_difference-{F}(V16,V16,V13), environment-{F}(V17), P_critical_point-{F}(V17,V18), P_growth_rate-{F}(V8,V18,V1), P_appear-{F}(V19,V5,V1), pppp2-{F}(V5,V20,V19) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #564: mergings( V28 == V29, V9 == V24, V12 == V29, V13 == V30; #553 ), references = 1, size of lhs = 50:
% 7.09/7.24 environment-{F}(V0), P_critical_point-{F}(V0,V1), greater_or_equal-{F}(V1,V1), environment-{F}(V2), environment-{F}(V3), environment-{F}(V4), P_critical_point-{F}(V4,V5), in_environment-{F}(V4,V5), P_critical_point-{F}(V6,V5), environment-{F}(V7), P_critical_point-{F}(V7,V8), environment-{F}(V9), P_critical_point-{F}(V9,V1), environment-{F}(V10), environment-{F}(V11), environment-{F}(V12), in_environment-{F}(V12,V5), greater_or_equal-{F}(V1,V13), P_first_movers-{F}(V14), subpopulations-{F}(V14,V14,V0,V1), P_appear-{F}(V14,V4,V1), subpopulations-{F}(V14,V14,V0,V5), subpopulations-{F}(V14,V14,V9,V5), P_appear-{F}(V14,V12,V13), P_efficient_producers-{F}(V14), subpopulations-{F}(V14,V14,V2,V15), subpopulations-{F}(V14,V14,V3,V16), P_disbanding_rate-{F}(V14,V16,V17), P_disbanding_rate-{F}(V14,V15,V17), P_growth_rate-{F}(V14,V8,V18), P_difference-{F}(V18,V18,V19), P_zero-{F}(V19), P_growth_rate-{F}(V14,V20,V18), P_growth_rate-{F}(V14,V15,V21), P_difference-{F}(V21,V21,V19), subpopulations-{F}(V14,V14,V10,V22), subpopulations-{F}(V14,V14,V11,V23), P_disbanding_rate-{F}(V14,V23,V24), P_disbanding_rate-{F}(V14,V22,V24), P_growth_rate-{F}(V14,V1,V25), P_difference-{F}(V25,V25,V19), environment-{F}(V26), P_critical_point-{F}(V26,V27), P_growth_rate-{F}(V14,V27,V28), P_difference-{F}(V28,V28,V19), P_growth_rate-{F}(V14,V29,V28), P_growth_rate-{F}(V14,V22,V30), P_difference-{F}(V30,V30,V19), P_appear-{F}(V31,V6,V1), pppp2-{F}(V6,V32,V31) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #569: mergings( V27 == V28, V9 == V24, V12 == V28, V13 == V29; #554 ), references = 1, size of lhs = 50:
% 7.09/7.24 environment-{F}(V0), P_critical_point-{F}(V0,V1), greater_or_equal-{F}(V1,V1), environment-{F}(V2), environment-{F}(V3), environment-{F}(V4), P_critical_point-{F}(V4,V5), in_environment-{F}(V4,V5), P_critical_point-{F}(V6,V5), environment-{F}(V7), P_critical_point-{F}(V7,V8), environment-{F}(V9), P_critical_point-{F}(V9,V1), environment-{F}(V10), environment-{F}(V11), environment-{F}(V12), in_environment-{F}(V12,V5), greater_or_equal-{F}(V1,V13), P_first_movers-{F}(V14), subpopulations-{F}(V14,V14,V0,V1), P_appear-{F}(V14,V4,V1), subpopulations-{F}(V14,V14,V0,V5), subpopulations-{F}(V14,V14,V9,V5), P_appear-{F}(V14,V12,V13), P_efficient_producers-{F}(V14), subpopulations-{F}(V14,V14,V2,V15), subpopulations-{F}(V14,V14,V3,V16), P_disbanding_rate-{F}(V14,V16,V17), P_disbanding_rate-{F}(V14,V15,V17), P_growth_rate-{F}(V14,V8,V18), P_difference-{F}(V18,V18,V19), P_zero-{F}(V19), P_growth_rate-{F}(V14,V20,V18), P_growth_rate-{F}(V14,V15,V21), P_difference-{F}(V21,V21,V19), subpopulations-{F}(V14,V14,V10,V22), P_disbanding_rate-{F}(V14,V22,V17), subpopulations-{F}(V14,V14,V11,V23), P_disbanding_rate-{F}(V14,V23,V17), P_growth_rate-{F}(V14,V1,V24), P_difference-{F}(V24,V24,V19), environment-{F}(V25), P_critical_point-{F}(V25,V26), P_growth_rate-{F}(V14,V26,V27), P_difference-{F}(V27,V27,V19), P_growth_rate-{F}(V14,V28,V27), P_growth_rate-{F}(V14,V22,V29), P_difference-{F}(V29,V29,V19), P_appear-{F}(V30,V6,V1), pppp2-{F}(V6,V31,V30) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #618: mergings( V21 == V22, V22 == V23, V23 == V24, V24 == V30, V16 == V17, V6 == V9, V9 == V13, V13 == V0, V0 == V18, V3 == V7, V7 == V10, V10 == V14, V14 == V18, V18 == V19, V27 == V29, V29 == V1, V25 == V30, V1 == V33, V30 == V34, V33 == V36, V36 == V37, V34 == V37, V4 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V20, V31 == V32, V32 == V38, V38 == V39, V39 == V40; #582 ), references = 1, size of lhs = 11:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), greater_or_equal-{F}(V2,V2), P_difference-{F}(V2,V2,V1), P_growth_rate-{F}(V0,V2,V2), P_growth_rate-{F}(V0,V3,V2), P_start_time-{F}(V4,V2), P_critical_point-{F}(V4,V2), P_growth_rate-{F}(V0,V5,V2), pppp2-{F}(V4,V6,V0) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #653: mergings( V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V30, V30 == V37, V16 == V17, V17 == V18, V6 == V9, V9 == V13, V13 == V0, V3 == V7, V7 == V10, V10 == V14, V14 == V0, V27 == V29, V29 == V1, V25 == V37, V1 == V33, V34 == V37, V33 == V36, V36 == V38, V37 == V39, V4 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V15, V15 == V18, V31 == V32, V32 == V41, V41 == V42, V42 == V43; #583 ), references = 1, size of lhs = 12:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), greater_or_equal-{F}(V2,V2), P_start_time-{F}(V3,V2), P_critical_point-{F}(V3,V2), P_growth_rate-{F}(V0,V2,V4), P_difference-{F}(V4,V4,V1), P_growth_rate-{F}(V0,V5,V4), P_growth_rate-{F}(V0,V6,V4), P_growth_rate-{F}(V0,V7,V4), pppp2-{F}(V3,V8,V0) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #688: mergings( V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V30, V30 == V37, V16 == V17, V17 == V18, V6 == V9, V9 == V13, V13 == V0, V3 == V7, V7 == V10, V10 == V14, V14 == V0, V27 == V29, V29 == V1, V25 == V37, V1 == V33, V34 == V37, V33 == V36, V36 == V38, V37 == V39, V4 == V5, V5 == V8, V8 == V11, V11 == V12, V12 == V15, V15 == V18, V31 == V32, V32 == V41, V41 == V42, V42 == V43; #584 ), references = 1, size of lhs = 12:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), greater_or_equal-{F}(V2,V2), P_start_time-{F}(V3,V2), P_critical_point-{F}(V3,V2), P_growth_rate-{F}(V0,V2,V4), P_difference-{F}(V4,V4,V1), P_growth_rate-{F}(V0,V5,V4), P_growth_rate-{F}(V0,V6,V4), P_growth_rate-{F}(V0,V7,V4), pppp2-{F}(V3,V8,V0) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #726: mergings( V3 == V6, V6 == V14, V14 == V17, V17 == V21, V21 == V0, V4 == V7, V7 == V11, V11 == V15, V15 == V18, V18 == V22, V22 == V0, V1 == V26, V26 == V29, V29 == V34, V5 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V16, V16 == V19, V19 == V20, V20 == V23, V23 == V24, V27 == V28, V28 == V30, V30 == V31, V31 == V32, V32 == V35, V35 == V37, V0 == V36, V25 == V33; #692 ), references = 1, size of lhs = 7:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), greater_or_equal-{F}(V2,V2), P_start_time-{F}(V3,V2), P_critical_point-{F}(V3,V2), pppp2-{F}(V3,V4,V0) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #754: mergings( V17 == V18, V7 == V8, V12 == V13, V15 == V16; #749 ), references = 3, size of lhs = 17:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V1,V4), subpopulations-{F}(V3,V3,V2,V5), P_disbanding_rate-{F}(V3,V5,V6), P_difference-{F}(V6,V6,V7), environment-{F}(V8), subpopulations-{F}(V3,V3,V8,V9), P_disbanding_rate-{F}(V3,V9,V10), P_difference-{F}(V10,V10,V11), P_disbanding_rate-{F}(V3,V4,V12), P_difference-{F}(V12,V12,V7), P_growth_rate-{F}(V3,V4,V13), P_difference-{F}(V13,V13,V11) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #768: mergings( V15 == V16, V7 == V8, V8 == V10, V10 == V11, V9 == V12, V11 == V13, V13 == V14, V5 == V6, V17 == V18; #758 ), references = 1, size of lhs = 9:
% 7.09/7.24 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_critical_point-{F}(V2,V3), P_disbanding_rate-{F}(V1,V3,V4), P_difference-{F}(V4,V4,V5), P_growth_rate-{F}(V1,V3,V6), P_difference-{F}(V6,V6,V5), pppp2-{F}(V2,V7,V8) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #839: mergings( V0 == V8, V8 == V11, V11 == V15, V1 == V9, V9 == V12, V12 == V16, V10 == V13, V13 == V2, V2 == V14; #827 ), references = 1, size of lhs = 17:
% 7.09/7.24 environment-{F}(V0), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V3), subpopulations-{F}(V2,V3,V0,V4), P_growth_rate-{F}(V2,V4,V5), P_growth_rate-{F}(V3,V4,V6), P_difference-{F}(V5,V6,V7), V7 == V1, environment-{F}(V8), in_environment-{F}(V8,V9), P_cardinality_at_time-{F}(V2,V9,V7), P_cardinality_at_time-{F}(V3,V9,V7), P_founding_rate-{F}(V2,V9,V10), P_disbanding_rate-{F}(V2,V9,V10), P_founding_rate-{F}(V3,V9,V11), P_disbanding_rate-{F}(V3,V9,V11) | greater-{T}(V1,V7)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #845: exists( #37, #754 ), references = 2, size of lhs = 15:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V1,V4), subpopulations-{F}(V3,V3,V2,V5), P_disbanding_rate-{F}(V3,V5,V6), P_difference-{F}(V6,V6,V7), environment-{F}(V8), subpopulations-{F}(V3,V3,V8,V9), P_disbanding_rate-{F}(V3,V9,V10), P_growth_rate-{F}(V3,V4,V10), P_disbanding_rate-{F}(V3,V4,V11), P_difference-{F}(V11,V11,V7) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #848: exists( #37, #845 ), references = 1, size of lhs = 13:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V1,V4), subpopulations-{F}(V3,V3,V2,V5), P_disbanding_rate-{F}(V3,V5,V6), P_disbanding_rate-{F}(V3,V4,V6), environment-{F}(V7), subpopulations-{F}(V3,V3,V7,V8), P_disbanding_rate-{F}(V3,V8,V9), P_growth_rate-{F}(V3,V4,V9) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #849: exists( #37, #754 ), references = 1, size of lhs = 13:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V1,V4), subpopulations-{F}(V3,V3,V2,V5), P_disbanding_rate-{F}(V3,V5,V6), P_disbanding_rate-{F}(V3,V4,V6), P_growth_rate-{F}(V3,V4,V6), environment-{F}(V7), subpopulations-{F}(V3,V3,V7,V8), P_disbanding_rate-{F}(V3,V8,V6) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #851: exists( #38, #846 ), references = 1, size of lhs = 11:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), subpopulations-{F}(V3,V3,V1,V4), subpopulations-{F}(V3,V3,V2,V4), environment-{F}(V5), subpopulations-{F}(V3,V3,V5,V6), P_disbanding_rate-{F}(V3,V6,V7), P_growth_rate-{F}(V3,V4,V7) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #904: mergings( V4 == V11, V11 == V21, V5 == V12, V12 == V22; #899 ), references = 2, size of lhs = 35:
% 7.09/7.24 decreases-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_growth_rate-{F}(V7,V5,V9), P_efficient_producers-{F}(V10), P_appear-{F}(V10,V2,V6), subpopulations-{F}(V7,V10,V1,V11), P_disbanding_rate-{F}(V7,V11,V12), P_disbanding_rate-{F}(V10,V11,V13), P_difference-{F}(V12,V13,V14), P_growth_rate-{F}(V10,V3,V15), P_difference-{F}(V8,V15,V16), greater_or_equal-{F}(V16,V4), P_growth_rate-{F}(V10,V5,V17), environment-{F}(V18), P_growth_rate-{F}(V7,V19,V9), P_growth_rate-{F}(V10,V19,V17), P_founding_rate-{F}(V7,V19,V20), P_founding_rate-{F}(V10,V19,V21), P_difference-{F}(V20,V21,V0), P_disbanding_rate-{F}(V7,V19,V22), P_disbanding_rate-{F}(V10,V19,V23), P_difference-{F}(V22,V23,V14), P_growth_rate-{F}(V7,V24,V9), P_growth_rate-{F}(V10,V24,V17), P_growth_rate-{F}(V25,V26,V9), P_growth_rate-{F}(V27,V26,V17), subpopulations-{F}(V27,V25,V18,V26), pppp1-{F}(V26,V25,V27,V28,V29) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #910: mergings( V3 == V14, V4 == V17, V5 == V11; #906 ), references = 2, size of lhs = 37:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_growth_rate-{F}(V7,V5,V9), P_efficient_producers-{F}(V10), P_appear-{F}(V10,V2,V6), subpopulations-{F}(V7,V10,V0,V11), P_founding_rate-{F}(V7,V11,V12), P_founding_rate-{F}(V10,V11,V13), subpopulations-{F}(V7,V10,V1,V14), P_disbanding_rate-{F}(V7,V14,V15), P_disbanding_rate-{F}(V10,V14,V16), P_difference-{F}(V15,V16,V17), P_growth_rate-{F}(V10,V3,V18), P_difference-{F}(V8,V18,V19), greater_or_equal-{F}(V19,V4), P_growth_rate-{F}(V10,V5,V20), environment-{F}(V21), P_growth_rate-{F}(V7,V22,V9), P_growth_rate-{F}(V10,V22,V20), P_founding_rate-{F}(V7,V22,V12), P_founding_rate-{F}(V10,V22,V13), P_disbanding_rate-{F}(V7,V22,V23), P_disbanding_rate-{F}(V10,V22,V24), P_difference-{F}(V23,V24,V17), P_growth_rate-{F}(V7,V25,V9), P_growth_rate-{F}(V10,V25,V20), P_growth_rate-{F}(V26,V27,V9), P_growth_rate-{F}(V28,V27,V20), subpopulations-{F}(V28,V26,V21,V27), pppp1-{F}(V27,V26,V28,V29,V30) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #917: mergings( V11 == V17, V12 == V19, V14 == V15, V21 == V22, V3 == V8; #911 ), references = 2, size of lhs = 27:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_efficient_producers-{F}(V7), P_appear-{F}(V7,V2,V6), subpopulations-{F}(V7,V7,V0,V8), subpopulations-{F}(V7,V7,V1,V9), P_disbanding_rate-{F}(V7,V9,V10), P_difference-{F}(V10,V10,V11), P_growth_rate-{F}(V7,V3,V12), P_difference-{F}(V12,V12,V13), greater_or_equal-{F}(V13,V4), P_growth_rate-{F}(V7,V5,V14), P_growth_rate-{F}(V7,V8,V14), environment-{F}(V15), P_disbanding_rate-{F}(V7,V8,V16), P_difference-{F}(V16,V16,V11), P_growth_rate-{F}(V7,V17,V14), P_growth_rate-{F}(V18,V19,V14), P_growth_rate-{F}(V20,V19,V14), subpopulations-{F}(V20,V18,V15,V19), pppp1-{F}(V19,V18,V20,V21,V22) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #950: exists( #37, #917 ), references = 1, size of lhs = 25:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_efficient_producers-{F}(V7), P_appear-{F}(V7,V2,V6), subpopulations-{F}(V7,V7,V0,V8), subpopulations-{F}(V7,V7,V1,V9), P_disbanding_rate-{F}(V7,V9,V10), P_disbanding_rate-{F}(V7,V8,V10), P_growth_rate-{F}(V7,V3,V11), P_difference-{F}(V11,V11,V12), greater_or_equal-{F}(V12,V4), P_growth_rate-{F}(V7,V5,V13), P_growth_rate-{F}(V7,V8,V13), environment-{F}(V14), P_growth_rate-{F}(V7,V15,V13), P_growth_rate-{F}(V16,V17,V13), P_growth_rate-{F}(V18,V17,V13), subpopulations-{F}(V18,V16,V14,V17), pppp1-{F}(V17,V16,V18,V19,V20) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #952: exists( #38, #947 ), references = 1, size of lhs = 23:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_efficient_producers-{F}(V7), P_appear-{F}(V7,V2,V6), subpopulations-{F}(V7,V7,V0,V8), subpopulations-{F}(V7,V7,V1,V8), P_growth_rate-{F}(V7,V3,V9), P_difference-{F}(V9,V9,V10), greater_or_equal-{F}(V10,V4), P_growth_rate-{F}(V7,V5,V11), P_growth_rate-{F}(V7,V8,V11), environment-{F}(V12), P_growth_rate-{F}(V7,V13,V11), P_growth_rate-{F}(V14,V15,V11), P_growth_rate-{F}(V16,V15,V11), subpopulations-{F}(V16,V14,V12,V15), pppp1-{F}(V15,V14,V16,V17,V18) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #954: exists( #34, #951 ), references = 1, size of lhs = 18:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_efficient_producers-{F}(V7), P_appear-{F}(V7,V2,V6), subpopulations-{F}(V7,V7,V0,V5), subpopulations-{F}(V7,V7,V1,V5), P_growth_rate-{F}(V7,V3,V8), P_difference-{F}(V8,V8,V9), greater_or_equal-{F}(V9,V4), environment-{F}(V10), subpopulations-{F}(V7,V7,V10,V5), pppp1-{F}(V5,V7,V7,V11,V12) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #968: mergings( V5 == V8, V8 == V1, V6 == V9, V9 == V1, V7 == V10, V10 == V11, V11 == V13; #960 ), references = 1, size of lhs = 15:
% 7.09/7.24 environment-{F}(V0), in_environment-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), pppp2-{F}(V2,V4,V4), P_efficient_producers-{F}(V4), P_appear-{F}(V4,V2,V5), P_appear-{F}(V4,V0,V5), P_growth_rate-{F}(V4,V1,V6), P_difference-{F}(V6,V6,V7), greater_or_equal-{F}(V7,V3), environment-{F}(V8), subpopulations-{F}(V4,V4,V8,V5), subpopulations-{F}(V4,V4,V8,V1) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #997: mergings( V3 == V9, V9 == V12, V12 == V15, V15 == V0, V4 == V6, V6 == V10, V10 == V13, V13 == V16, V16 == V0, V20 == V21, V5 == V7, V7 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V18, V18 == V19, V0 == V25, V25 == V26; #977 ), references = 1, size of lhs = 9:
% 7.09/7.24 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1), P_critical_point-{F}(V2,V3), P_growth_rate-{F}(V1,V3,V4), P_difference-{F}(V4,V4,V5), greater_or_equal-{F}(V5,V0), P_start_time-{F}(V2,V6) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1023: mergings( V4 == V10, V10 == V13, V13 == V16, V16 == V0, V5 == V7, V7 == V11, V11 == V14, V14 == V17, V17 == V0, V1 == V22, V3 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V19, V19 == V20, V0 == V24, V24 == V25, V25 == V27, V27 == V28, V21 == V26; #999 ), references = 1, size of lhs = 7:
% 7.09/7.24 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1), P_start_time-{F}(V2,V3), P_critical_point-{F}(V2,V4) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1048: mergings( V3 == V9, V9 == V12, V12 == V15, V15 == V20, V4 == V6, V6 == V10, V10 == V13, V13 == V16, V16 == V20, V21 == V22, V2 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V18, V18 == V19, V20 == V23, V23 == V24, V24 == V26, V26 == V27, V0 == V25; #1024 ), references = 1, size of lhs = 6:
% 7.09/7.24 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1), P_critical_point-{F}(V2,V3) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1071: mergings( V3 == V9, V9 == V12, V12 == V15, V15 == V20, V4 == V6, V6 == V10, V10 == V13, V13 == V16, V16 == V20, V2 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V18, V18 == V19, V20 == V21, V21 == V22, V22 == V23, V23 == V24; #1049 ), references = 1, size of lhs = 5:
% 7.09/7.24 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1091: mergings( V4 == V10, V10 == V13, V13 == V16, V16 == V0, V5 == V7, V7 == V11, V11 == V14, V14 == V17, V17 == V0, V1 == V3, V3 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V19, V19 == V20; #1072 ), references = 1, size of lhs = 4:
% 7.09/7.24 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1108: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14; #1094 ), references = 1, size of lhs = 2:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1124: mergings( V6 == V7, V10 == V11; #1121 ), references = 1, size of lhs = 9:
% 7.09/7.24 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_critical_point-{F}(V3,V4), P_founding_rate-{F}(V1,V4,V5), P_disbanding_rate-{F}(V1,V4,V5), P_founding_rate-{F}(V2,V4,V6), P_disbanding_rate-{F}(V2,V4,V6), pppp2-{F}(V3,V7,V8) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1140: mergings( V3 == V6, V6 == V9, V9 == V12, V4 == V7, V7 == V10, V10 == V13, V15 == V18, V5 == V8, V8 == V11, V11 == V14; #1129 ), references = 1, size of lhs = 10:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_appear-{F}(V0,V3,V4), P_start_time-{F}(V3,V5), V4 == V5, P_critical_point-{F}(V3,V6), P_growth_rate-{F}(V1,V6,V4), P_growth_rate-{F}(V0,V6,V5), pppp2-{F}(V3,V7,V8) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1192: mergings( V0 == V8, V8 == V10, V1 == V9, V9 == V11, V2 == V12; #1186 ), references = 3, size of lhs = 15:
% 7.09/7.24 environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), subpopulations-{F}(V1,V2,V0,V3), P_growth_rate-{F}(V1,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_difference-{F}(V4,V5,V6), P_zero-{F}(V7), environment-{F}(V8), P_critical_point-{F}(V8,V9), P_growth_rate-{F}(V2,V9,V10), P_growth_rate-{F}(V2,V11,V10), P_growth_rate-{F}(V1,V11,V12), P_difference-{F}(V12,V10,V6), P_growth_rate-{F}(V1,V9,V12) | greater_or_equal-{T}(V6,V7)
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1222: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V20 == V21, V21 == V22, V7 == V23, V24 == V25, V22 == V26, V23 == V29, V25 == V27, V29 == V10, V10 == V13, V13 == V16, V16 == V19, V30 == V31; #1199 ), references = 1, size of lhs = 11:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V2), P_growth_rate-{F}(V1,V3,V4), V4 == V2, P_difference-{F}(V2,V4,V4), P_growth_rate-{F}(V1,V5,V4), P_growth_rate-{F}(V0,V5,V2), P_critical_point-{F}(V6,V5), pppp2-{F}(V6,V7,V8) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1255: mergings( V3 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V17, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V18, V23 == V24, V24 == V27, V25 == V30, V26 == V28, V27 == V31, V28 == V32, V30 == V34, V21 == V22, V5 == V8, V8 == V11, V11 == V16, V16 == V19, V35 == V36; #1231 ), references = 1, size of lhs = 16:
% 7.09/7.24 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V2), P_growth_rate-{F}(V1,V3,V4), V4 == V2, P_difference-{F}(V2,V4,V4), P_growth_rate-{F}(V1,V5,V6), P_growth_rate-{F}(V0,V5,V7), P_difference-{F}(V7,V6,V4), P_growth_rate-{F}(V1,V8,V6), P_growth_rate-{F}(V0,V8,V7), P_growth_rate-{F}(V1,V9,V6), P_growth_rate-{F}(V0,V9,V7), P_critical_point-{F}(V10,V9), pppp2-{F}(V10,V11,V12) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1292: exists( #41, #910 ), references = 1, size of lhs = 34:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_growth_rate-{F}(V7,V5,V9), P_efficient_producers-{F}(V10), P_appear-{F}(V10,V2,V6), subpopulations-{F}(V7,V10,V0,V11), P_growth_rate-{F}(V7,V11,V9), subpopulations-{F}(V7,V10,V1,V12), P_disbanding_rate-{F}(V7,V12,V13), P_disbanding_rate-{F}(V10,V12,V14), P_difference-{F}(V13,V14,V15), P_growth_rate-{F}(V10,V3,V16), P_difference-{F}(V8,V16,V17), greater_or_equal-{F}(V17,V4), P_growth_rate-{F}(V10,V5,V18), P_growth_rate-{F}(V10,V11,V18), environment-{F}(V19), P_founding_rate-{F}(V7,V11,V20), P_disbanding_rate-{F}(V7,V11,V21), P_disbanding_rate-{F}(V10,V11,V22), P_difference-{F}(V21,V22,V15), P_growth_rate-{F}(V7,V23,V9), P_growth_rate-{F}(V10,V23,V18), P_growth_rate-{F}(V24,V25,V9), P_growth_rate-{F}(V26,V25,V18), subpopulations-{F}(V26,V24,V19,V25), pppp1-{F}(V25,V24,V26,V27,V28) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1293: exists( #41, #220 ), references = 1, size of lhs = 22:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V1,V5), subpopulations-{F}(V3,V4,V2,V6), P_disbanding_rate-{F}(V3,V6,V7), P_disbanding_rate-{F}(V4,V6,V8), P_difference-{F}(V7,V8,V9), environment-{F}(V10), subpopulations-{F}(V3,V4,V10,V11), P_disbanding_rate-{F}(V3,V11,V12), P_disbanding_rate-{F}(V4,V11,V13), P_difference-{F}(V12,V13,V14), P_founding_rate-{F}(V3,V5,V15), P_disbanding_rate-{F}(V3,V5,V16), P_disbanding_rate-{F}(V4,V5,V17), P_difference-{F}(V16,V17,V9), P_growth_rate-{F}(V3,V5,V18), P_growth_rate-{F}(V4,V5,V19), P_difference-{F}(V18,V19,V14) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1296: exists( #41, #1290 ), references = 2, size of lhs = 33:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_growth_rate-{F}(V7,V5,V9), P_efficient_producers-{F}(V10), P_appear-{F}(V10,V2,V6), subpopulations-{F}(V7,V10,V0,V11), P_growth_rate-{F}(V7,V11,V9), subpopulations-{F}(V7,V10,V1,V12), P_disbanding_rate-{F}(V7,V12,V13), P_disbanding_rate-{F}(V10,V12,V14), P_difference-{F}(V13,V14,V15), P_growth_rate-{F}(V10,V3,V16), P_difference-{F}(V8,V16,V17), greater_or_equal-{F}(V17,V4), P_growth_rate-{F}(V10,V5,V18), P_growth_rate-{F}(V10,V11,V18), environment-{F}(V19), P_disbanding_rate-{F}(V7,V11,V20), P_disbanding_rate-{F}(V10,V11,V21), P_difference-{F}(V20,V21,V15), P_growth_rate-{F}(V7,V22,V9), P_growth_rate-{F}(V10,V22,V18), P_growth_rate-{F}(V23,V24,V9), P_growth_rate-{F}(V25,V24,V18), subpopulations-{F}(V25,V23,V19,V24), pppp1-{F}(V24,V23,V25,V26,V27) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1297: exists( #41, #1291 ), references = 1, size of lhs = 21:
% 7.09/7.24 P_zero-{F}(V0), environment-{F}(V1), environment-{F}(V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V3,V4,V1,V5), subpopulations-{F}(V3,V4,V2,V6), P_disbanding_rate-{F}(V3,V6,V7), P_disbanding_rate-{F}(V4,V6,V8), P_difference-{F}(V7,V8,V9), environment-{F}(V10), subpopulations-{F}(V3,V4,V10,V11), P_disbanding_rate-{F}(V3,V11,V12), P_disbanding_rate-{F}(V4,V11,V13), P_difference-{F}(V12,V13,V14), P_disbanding_rate-{F}(V3,V5,V15), P_disbanding_rate-{F}(V4,V5,V16), P_difference-{F}(V15,V16,V9), P_growth_rate-{F}(V3,V5,V17), P_growth_rate-{F}(V4,V5,V18), P_difference-{F}(V17,V18,V14) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1299: exists( #37, #1296 ), references = 1, size of lhs = 31:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_growth_rate-{F}(V7,V5,V9), P_efficient_producers-{F}(V10), P_appear-{F}(V10,V2,V6), subpopulations-{F}(V7,V10,V0,V11), P_growth_rate-{F}(V7,V11,V9), subpopulations-{F}(V7,V10,V1,V12), P_disbanding_rate-{F}(V7,V12,V13), P_disbanding_rate-{F}(V7,V11,V13), P_disbanding_rate-{F}(V10,V12,V14), P_disbanding_rate-{F}(V10,V11,V14), P_growth_rate-{F}(V10,V3,V15), P_difference-{F}(V8,V15,V16), greater_or_equal-{F}(V16,V4), P_growth_rate-{F}(V10,V5,V17), P_growth_rate-{F}(V10,V11,V17), environment-{F}(V18), P_growth_rate-{F}(V7,V19,V9), P_growth_rate-{F}(V10,V19,V17), P_growth_rate-{F}(V20,V21,V9), P_growth_rate-{F}(V22,V21,V17), subpopulations-{F}(V22,V20,V18,V21), pppp1-{F}(V21,V20,V22,V23,V24) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1301: exists( #38, #1298 ), references = 1, size of lhs = 28:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_growth_rate-{F}(V7,V5,V9), P_efficient_producers-{F}(V10), P_appear-{F}(V10,V2,V6), subpopulations-{F}(V7,V10,V0,V11), P_growth_rate-{F}(V7,V11,V9), subpopulations-{F}(V7,V10,V1,V11), P_disbanding_rate-{F}(V7,V11,V12), P_growth_rate-{F}(V10,V3,V13), P_difference-{F}(V8,V13,V14), greater_or_equal-{F}(V14,V4), P_growth_rate-{F}(V10,V5,V15), P_growth_rate-{F}(V10,V11,V15), environment-{F}(V16), P_growth_rate-{F}(V7,V17,V9), P_growth_rate-{F}(V10,V17,V15), P_growth_rate-{F}(V18,V19,V9), P_growth_rate-{F}(V20,V19,V15), subpopulations-{F}(V20,V18,V16,V19), pppp1-{F}(V19,V18,V20,V21,V22) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1303: exists( #34, #1300 ), references = 1, size of lhs = 22:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_efficient_producers-{F}(V9), P_appear-{F}(V9,V2,V6), subpopulations-{F}(V7,V9,V0,V5), subpopulations-{F}(V7,V9,V1,V5), P_disbanding_rate-{F}(V7,V5,V10), P_growth_rate-{F}(V9,V3,V11), P_difference-{F}(V8,V11,V12), greater_or_equal-{F}(V12,V4), environment-{F}(V13), P_growth_rate-{F}(V7,V5,V14), P_growth_rate-{F}(V15,V5,V14), subpopulations-{F}(V9,V15,V13,V5), pppp1-{F}(V5,V15,V9,V16,V17) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1305: exists( #38, #1302 ), references = 1, size of lhs = 21:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_efficient_producers-{F}(V9), P_appear-{F}(V9,V2,V6), subpopulations-{F}(V7,V9,V0,V5), subpopulations-{F}(V7,V9,V1,V5), P_growth_rate-{F}(V9,V3,V10), P_difference-{F}(V8,V10,V11), greater_or_equal-{F}(V11,V4), environment-{F}(V12), P_growth_rate-{F}(V7,V5,V13), P_growth_rate-{F}(V14,V5,V13), subpopulations-{F}(V9,V14,V12,V5), pppp1-{F}(V5,V14,V9,V15,V16) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1307: exists( #34, #1304 ), references = 1, size of lhs = 19:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), environment-{F}(V2), in_environment-{F}(V2,V3), P_zero-{F}(V4), greater-{F}(V3,V5), greater_or_equal-{F}(V5,V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V3,V8), P_efficient_producers-{F}(V9), P_appear-{F}(V9,V2,V6), subpopulations-{F}(V7,V9,V0,V5), subpopulations-{F}(V7,V9,V1,V5), P_growth_rate-{F}(V9,V3,V10), P_difference-{F}(V8,V10,V11), greater_or_equal-{F}(V11,V4), environment-{F}(V12), subpopulations-{F}(V9,V7,V12,V5), pppp1-{F}(V5,V7,V9,V13,V14) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1323: mergings( V6 == V9, V9 == V1, V7 == V10, V10 == V2, V8 == V11, V11 == V12, V12 == V13, V13 == V15; #1314 ), references = 2, size of lhs = 16:
% 7.09/7.24 environment-{F}(V0), in_environment-{F}(V0,V1), P_critical_point-{F}(V2,V1), P_zero-{F}(V3), P_first_movers-{F}(V4), pppp2-{F}(V2,V4,V5), P_efficient_producers-{F}(V5), P_appear-{F}(V5,V2,V6), P_appear-{F}(V5,V0,V6), P_growth_rate-{F}(V4,V1,V7), P_growth_rate-{F}(V5,V1,V8), P_difference-{F}(V7,V8,V9), greater_or_equal-{F}(V9,V3), environment-{F}(V10), subpopulations-{F}(V4,V5,V10,V6), subpopulations-{F}(V4,V5,V10,V1) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1328: mergings( V4 == V14, V5 == V15; #1325 ), references = 1, size of lhs = 24:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), P_critical_point-{F}(V1,V2), environment-{F}(V3), in_environment-{F}(V3,V4), P_critical_point-{F}(V5,V4), P_zero-{F}(V6), P_first_movers-{F}(V7), P_growth_rate-{F}(V7,V2,V8), P_growth_rate-{F}(V7,V4,V8), P_growth_rate-{F}(V7,V9,V8), pppp2-{F}(V5,V7,V10), P_efficient_producers-{F}(V10), subpopulations-{F}(V7,V10,V0,V11), P_growth_rate-{F}(V7,V11,V8), P_growth_rate-{F}(V10,V11,V12), P_growth_rate-{F}(V10,V2,V12), P_growth_rate-{F}(V10,V9,V12), P_growth_rate-{F}(V10,V4,V12), P_appear-{F}(V10,V5,V13), P_appear-{F}(V10,V3,V13), environment-{F}(V14), subpopulations-{F}(V7,V10,V14,V13), subpopulations-{F}(V7,V10,V14,V4) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1331: mergings( V4 == V10; #1329 ), references = 1, size of lhs = 17:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), P_critical_point-{F}(V1,V2), environment-{F}(V3), in_environment-{F}(V3,V2), P_critical_point-{F}(V4,V2), P_zero-{F}(V5), P_first_movers-{F}(V6), P_growth_rate-{F}(V6,V2,V7), pppp2-{F}(V4,V6,V8), subpopulations-{F}(V6,V8,V0,V2), P_efficient_producers-{F}(V8), P_appear-{F}(V8,V4,V9), P_appear-{F}(V8,V3,V9), environment-{F}(V10), subpopulations-{F}(V6,V8,V10,V9), subpopulations-{F}(V6,V8,V10,V2) | FALSE
% 7.09/7.24 (used 0 times, uses = {})
% 7.09/7.24
% 7.09/7.24 #1333: exists( #34, #1329 ), references = 3, size of lhs = 16:
% 7.09/7.24 environment-{F}(V0), environment-{F}(V1), P_critical_point-{F}(V1,V2), environment-{F}(V3), in_environment-{F}(V3,V2), P_critical_point-{F}(V4,V2), P_zero-{F}(V5), P_first_movers-{F}(V6), pppp2-{F}(V4,V6,V7), subpopulations-{F}(V6,V7,V0,V2), P_efficient_producers-{F}(V7), P_appear-{F}(V7,V4,V8), P_appear-{F}(V7,V3,V8), environment-{F}(V9), subpopulations-{F}(V6,V7,V9,V8), subpopulations-{F}(V6,V7,V9,V2) | FALSE
% 7.09/7.25 (used 0 times, uses = {})
% 7.09/7.25
% 7.09/7.25 #1374: mergings( V3 == V6, V6 == V10, V10 == V13, V13 == V16, V16 == V19, V4 == V7, V7 == V11, V11 == V14, V14 == V0, V20 == V21, V5 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V18, V19 == V22, V22 == V23; #1355 ), references = 1, size of lhs = 5:
% 7.09/7.25 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2), P_critical_point-{F}(V3,V4) | P_appear-{T}(V2,V3,V4)
% 7.09/7.25 (used 0 times, uses = {})
% 7.09/7.25
% 7.09/7.25 #1401: mergings( V2 == V5, V5 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V3 == V6, V6 == V10, V10 == V13, V13 == V21, V4 == V7, V7 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V17, V17 == V19, V20 == V22, V22 == V23, V23 == V24, V24 == V25; #1379 ), references = 1, size of lhs = 4:
% 7.09/7.25 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2) | FALSE
% 7.09/7.25 (used 0 times, uses = {})
% 7.09/7.25
% 7.09/7.25 #1420: mergings( V4 == V7, V7 == V11, V11 == V14, V14 == V17, V17 == V0, V5 == V8, V8 == V12, V12 == V15, V15 == V1, V2 == V6, V6 == V9, V9 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V19, V19 == V20; #1402 ), references = 1, size of lhs = 3:
% 7.09/7.25 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 7.09/7.25 (used 0 times, uses = {})
% 7.09/7.25
% 7.09/7.25 #1431: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V2 == V4, V4 == V6, V6 == V8, V8 == V11; #1421 ), references = 1, size of lhs = 2:
% 7.09/7.25 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 7.09/7.25 (used 0 times, uses = {})
% 7.09/7.25
% 7.09/7.25 #1438: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1432 ), references = 1, size of lhs = 1:
% 7.09/7.25 P_first_movers-{F}(V0) | FALSE
% 7.09/7.25 (used 0 times, uses = {})
% 7.09/7.25
% 7.09/7.25 #1440: exists( #35, #1432 ), references = 1, size of lhs = 0:
% 7.09/7.25 FALSE | FALSE
% 7.09/7.25 (used 0 times, uses = {})
% 7.09/7.25
% 7.09/7.25 number of learnt formulas = 67
% 7.09/7.25
% 7.09/7.25
% 7.09/7.25 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.09/7.25
% 7.09/7.25 randbase = 1
%------------------------------------------------------------------------------