TSTP Solution File: MGT025+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:10:35 EDT 2022
% Result : Theorem 2.90s 3.10s
% Output : Refutation 2.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 11:14:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.90/3.10 GeoParameters:
% 2.90/3.10
% 2.90/3.10 tptp_input = 1
% 2.90/3.10 tptp_output = 0
% 2.90/3.10 nonempty = 1
% 2.90/3.10 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.90/3.10 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.90/3.10
% 2.90/3.10
% 2.90/3.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.90/3.10 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.90/3.10
% 2.90/3.10 RuleSystem INPUT:
% 2.90/3.10
% 2.90/3.10 Initial Rules:
% 2.90/3.10 #0: input, references = 3, size of lhs = 11:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_number_of_organizations-{F}(V3,V4,V5), P_cardinality_at_time-{F}(V0,V4,V6), P_cardinality_at_time-{F}(V1,V4,V7), P_sum-{F}(V6,V7,V8), P_cardinality_at_time-{F}(V9,V4,V10), subpopulation-{F}(V9,V3,V4), V5 == V8 | greater-{T}(V10,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1: input, references = 4, size of lhs = 11:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_number_of_organizations-{F}(V3,V4,V5), P_cardinality_at_time-{F}(V0,V4,V6), P_cardinality_at_time-{F}(V1,V4,V7), P_sum-{F}(V6,V7,V8), P_cardinality_at_time-{F}(V1,V4,V10), subpopulation-{F}(V1,V3,V4), V5 == V8 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #2: input, references = 4, size of lhs = 11:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_number_of_organizations-{F}(V3,V4,V5), P_cardinality_at_time-{F}(V0,V4,V6), P_cardinality_at_time-{F}(V1,V4,V7), P_sum-{F}(V6,V7,V8), P_cardinality_at_time-{F}(V0,V4,V10), subpopulation-{F}(V0,V3,V4), V5 == V8 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #3: input, references = 18, size of lhs = 5:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4) | subpopulation-{T}(V0,V3,V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #4: input, references = 12, size of lhs = 5:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4) | subpopulation-{T}(V1,V3,V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #5: input, references = 7, size of lhs = 5:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_sum-{F}(V3,V4,V5), constant-{F}(V5) | pppp0-{T}(V3,V4), increases-{T}(V3), decreases-{T}(V3)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #6: input, references = 5, size of lhs = 5:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_sum-{F}(V3,V4,V5), constant-{F}(V5) | pppp0-{T}(V3,V4), increases-{T}(V3), increases-{T}(V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #7: input, references = 4, size of lhs = 5:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_sum-{F}(V3,V4,V5), constant-{F}(V5) | pppp0-{T}(V3,V4), decreases-{T}(V4), decreases-{T}(V3)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #8: input, references = 6, size of lhs = 5:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_sum-{F}(V3,V4,V5), constant-{F}(V5) | pppp0-{T}(V3,V4), decreases-{T}(V4), increases-{T}(V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #9: input, references = 10, size of lhs = 1:
% 2.90/3.10 pppp0-{F}(V0,V1) | constant-{T}(V1)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #10: input, references = 6, size of lhs = 1:
% 2.90/3.10 pppp0-{F}(V0,V1) | constant-{T}(V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #11: input, references = 15, size of lhs = 11:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4), P_cardinality_at_time-{F}(V5,V4,V6), P_growth_rate-{F}(V5,V4,V7), subpopulation-{F}(V5,V3,V4), greater-{F}(V6,V2), constant-{F}(V6), V7 == V2 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #12: input, references = 24, size of lhs = 10:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4), P_cardinality_at_time-{F}(V5,V4,V6), P_growth_rate-{F}(V5,V4,V7), subpopulation-{F}(V5,V3,V4), greater-{F}(V6,V2), increases-{F}(V6) | greater-{T}(V7,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #13: input, references = 24, size of lhs = 10:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), in_environment-{F}(V3,V4), P_cardinality_at_time-{F}(V5,V4,V6), P_growth_rate-{F}(V5,V4,V7), subpopulation-{F}(V5,V3,V4), greater-{F}(V6,V2), decreases-{F}(V6) | greater-{T}(V2,V7)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #14: input, references = 16, size of lhs = 7:
% 2.90/3.10 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), environment-{F}(V6), subpopulations-{F}(V0,V1,V6,V3) | greater-{T}(V4,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #15: input, references = 10, size of lhs = 7:
% 2.90/3.10 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), environment-{F}(V6), subpopulations-{F}(V0,V1,V6,V3) | greater-{T}(V5,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #16: input, references = 19, size of lhs = 5:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4) | in_environment-{T}(V3,V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #17: input, references = 3, size of lhs = 9:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_cardinality_at_time-{F}(V3,V4,V5), greater-{F}(V5,V2), environment-{F}(V6), subpopulation-{F}(V3,V6,V4), V3 == V1, V3 == V0 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #18: input, references = 5, size of lhs = 3:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2) | EXISTS V3: pppp2-{T}(V3,V0,V1,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #19: input, references = 16, size of lhs = 3:
% 2.90/3.10 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V1,V0,V4), P_growth_rate-{F}(V2,V0,V5) | EXISTS V6: pppp1-{T}(V6,V0,V1,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #20: input, references = 18, size of lhs = 5:
% 2.90/3.10 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V1,V0,V4), P_growth_rate-{F}(V2,V0,V5), greater-{F}(V5,V3), greater-{F}(V3,V4) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #21: input, references = 13, size of lhs = 5:
% 2.90/3.10 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V1,V0,V4), P_growth_rate-{F}(V2,V0,V5), greater-{F}(V4,V3), greater-{F}(V3,V5) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #22: input, references = 6, size of lhs = 3:
% 2.90/3.10 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V1,V0,V3), P_growth_rate-{F}(V2,V0,V3) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #23: input, references = 17, size of lhs = 2:
% 2.90/3.10 pppp1-{F}(V0,V1,V2,V3), P_number_of_organizations-{F}(V0,V1,V4) | constant-{T}(V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #24: input, references = 19, size of lhs = 2:
% 2.90/3.10 pppp1-{F}(V0,V1,V2,V3), P_number_of_organizations-{F}(V0,V1,V4) | subpopulations-{T}(V2,V3,V0,V1)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #25: input, references = 19, size of lhs = 2:
% 2.90/3.10 pppp1-{F}(V0,V1,V2,V3), P_number_of_organizations-{F}(V0,V1,V4) | environment-{T}(V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #26: input, references = 6, size of lhs = 2:
% 2.90/3.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_cardinality_at_time-{T}(V0,V1,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #27: input, references = 4, size of lhs = 0:
% 2.90/3.10 FALSE | EXISTS V0: P_zero-{T}(V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #28: input, references = 4, size of lhs = 0:
% 2.90/3.10 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #29: input, references = 4, size of lhs = 0:
% 2.90/3.10 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #30: input, references = 4, size of lhs = 2:
% 2.90/3.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_number_of_organizations-{T}(V0,V1,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #31: input, references = 6, size of lhs = 2:
% 2.90/3.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #32: input, references = 16, size of lhs = 2:
% 2.90/3.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 number of initial rules = 33
% 2.90/3.10
% 2.90/3.10 Simplifiers:
% 2.90/3.10 #33: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #34: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #35: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #36: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 P_number_of_organizations-{F}(V0,V1,V2), P_number_of_organizations-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #37: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #38: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 P_cardinality_at_time-{F}(V0,V1,V2), P_cardinality_at_time-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #39: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #40: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #41: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #42: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #43: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #44: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #45: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 pppp1-{F}(V0,V1,V2,V3), pppp1-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #46: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #47: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #48: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #49: unsound, references = 3, size of lhs = 3:
% 2.90/3.10 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 number of simplifiers = 17
% 2.90/3.10
% 2.90/3.10 Learnt:
% 2.90/3.10 #67: mergings( V0 == V6, V6 == V17, V1 == V7, V7 == V18, V2 == V8, V8 == V19, V14 == V25, V16 == V27, V15 == V26, V13 == V24, V12 == V23; #52 ), references = 1, size of lhs = 21:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_growth_rate-{F}(V3,V2,V6), P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), environment-{F}(V9), in_environment-{F}(V9,V10), subpopulation-{F}(V11,V9,V10), P_growth_rate-{F}(V11,V10,V6), P_cardinality_at_time-{F}(V11,V10,V12), P_sum-{F}(V4,V12,V0), greater-{F}(V12,V5), greater-{F}(V5,V13), P_growth_rate-{F}(V14,V15,V13), pppp2-{F}(V15,V14,V16,V5), P_growth_rate-{F}(V16,V15,V6) | pppp0-{T}(V4,V12)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #79: mergings( V0 == V6, V6 == V17, V1 == V7, V7 == V18, V2 == V8, V8 == V19, V14 == V25, V16 == V27, V15 == V26, V13 == V23, V12 == V24; #53 ), references = 1, size of lhs = 22:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_growth_rate-{F}(V3,V2,V6), greater-{F}(V5,V6), greater-{F}(V5,V7), P_first_movers-{F}(V8), P_efficient_producers-{F}(V9), environment-{F}(V10), in_environment-{F}(V10,V11), subpopulation-{F}(V12,V10,V11), P_growth_rate-{F}(V12,V11,V7), P_cardinality_at_time-{F}(V12,V11,V13), P_sum-{F}(V4,V13,V0), greater-{F}(V13,V5), P_growth_rate-{F}(V14,V15,V7), pppp2-{F}(V15,V14,V16,V5), P_growth_rate-{F}(V16,V15,V6) | pppp0-{T}(V4,V13)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #91: mergings( V0 == V6, V6 == V17, V1 == V7, V7 == V18, V2 == V8, V8 == V19, V14 == V25, V16 == V27, V15 == V26, V12 == V24, V13 == V23; #54 ), references = 1, size of lhs = 22:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_growth_rate-{F}(V3,V2,V6), greater-{F}(V5,V6), greater-{F}(V5,V7), P_first_movers-{F}(V8), P_efficient_producers-{F}(V9), environment-{F}(V10), in_environment-{F}(V10,V11), subpopulation-{F}(V12,V10,V11), P_growth_rate-{F}(V12,V11,V7), P_cardinality_at_time-{F}(V12,V11,V13), P_sum-{F}(V4,V13,V0), greater-{F}(V13,V5), P_growth_rate-{F}(V14,V15,V6), pppp2-{F}(V15,V14,V16,V5), P_growth_rate-{F}(V16,V15,V7) | pppp0-{T}(V4,V13)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #117: mergings( V0 == V6, V6 == V13, V13 == V20, V20 == V24, V24 == V31, V31 == V38, V1 == V7, V7 == V14, V14 == V21, V21 == V25, V25 == V32, V32 == V39, V2 == V8, V8 == V19, V19 == V22, V22 == V40, V45 == V48, V47 == V50, V46 == V49, V30 == V37; #96 ), references = 5, size of lhs = 40:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), P_sum-{F}(V5,V4,V0), P_growth_rate-{F}(V3,V2,V6), environment-{F}(V7), in_environment-{F}(V7,V8), subpopulation-{F}(V9,V7,V8), P_cardinality_at_time-{F}(V9,V8,V4), P_growth_rate-{F}(V9,V8,V10), greater-{F}(V4,V11), V6 == V11, P_zero-{F}(V11), constant-{F}(V12), environment-{F}(V13), in_environment-{F}(V13,V14), subpopulation-{F}(V15,V13,V14), P_cardinality_at_time-{F}(V15,V14,V16), greater-{F}(V16,V11), P_growth_rate-{F}(V15,V14,V17), environment-{F}(V18), in_environment-{F}(V18,V19), subpopulation-{F}(V20,V18,V19), P_growth_rate-{F}(V20,V19,V17), P_cardinality_at_time-{F}(V20,V19,V21), P_sum-{F}(V16,V21,V12), greater-{F}(V21,V11), P_first_movers-{F}(V22), P_efficient_producers-{F}(V23), environment-{F}(V24), in_environment-{F}(V24,V25), subpopulation-{F}(V26,V24,V25), P_cardinality_at_time-{F}(V26,V25,V21), P_growth_rate-{F}(V26,V25,V27), V27 == V11, P_growth_rate-{F}(V28,V29,V10), pppp2-{F}(V29,V28,V30,V11), P_growth_rate-{F}(V30,V29,V17) | increases-{T}(V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #129: mergings( V0 == V6, V6 == V13, V1 == V7, V7 == V14, V2 == V8, V8 == V15; #121 ), references = 5, size of lhs = 21:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), P_sum-{F}(V5,V4,V0), P_growth_rate-{F}(V3,V2,V6), P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), P_zero-{F}(V9), V6 == V9, greater-{F}(V4,V9), environment-{F}(V10), in_environment-{F}(V10,V11), subpopulation-{F}(V12,V10,V11), P_cardinality_at_time-{F}(V12,V11,V4), P_growth_rate-{F}(V12,V11,V13), greater-{F}(V14,V9), P_growth_rate-{F}(V15,V16,V13), pppp2-{F}(V16,V15,V17,V9), P_growth_rate-{F}(V17,V16,V14) | decreases-{T}(V5)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #136: mergings( V0 == V6, V6 == V13, V1 == V7, V7 == V14, V2 == V8, V8 == V15; #122 ), references = 5, size of lhs = 21:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), P_sum-{F}(V5,V4,V0), P_growth_rate-{F}(V3,V2,V6), P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), P_zero-{F}(V9), V6 == V9, greater-{F}(V4,V9), environment-{F}(V10), in_environment-{F}(V10,V11), subpopulation-{F}(V12,V10,V11), P_cardinality_at_time-{F}(V12,V11,V4), P_growth_rate-{F}(V12,V11,V13), greater-{F}(V14,V9), P_growth_rate-{F}(V15,V16,V14), pppp2-{F}(V16,V15,V17,V9), P_growth_rate-{F}(V17,V16,V13) | decreases-{T}(V5)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #189: mergings( V11 == V14, V3 == V8, V4 == V6, V6 == V9, V5 == V7, V7 == V10, V8 == V15, V9 == V16; #179 ), references = 13, size of lhs = 7:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V0,V3,V5), P_sum-{F}(V5,V4,V6), pppp1-{F}(V7,V3,V0,V1) | P_number_of_organizations-{T}(V7,V3,V6)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #200: mergings( V12 == V14, V3 == V6, V6 == V9, V11 == V14, V4 == V9, V9 == V7, V5 == V8, V8 == V10, V7 == V15, V15 == V16; #180 ), references = 1, size of lhs = 6:
% 2.90/3.10 P_efficient_producers-{F}(V0), P_first_movers-{F}(V0), P_zero-{F}(V1), P_cardinality_at_time-{F}(V0,V2,V3), P_sum-{F}(V3,V3,V4), pppp1-{F}(V5,V2,V0,V0) | P_number_of_organizations-{T}(V5,V2,V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #265: mergings( V26 == V29, V10 == V1, V29 == V30, V1 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V24, V8 == V11, V11 == V2, V27 == V32, V2 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V25, V7 == V9, V9 == V12, V12 == V13, V13 == V16, V16 == V21, V4 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V24 == V41, V41 == V44, V44 == V47, V25 == V43, V43 == V46, V42 == V45, V46 == V49, V45 == V48, V3 == V21, V0 == V48, V5 == V40; #223 ), references = 2, size of lhs = 12:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_sum-{F}(V4,V4,V5), P_sum-{F}(V6,V4,V5), P_cardinality_at_time-{F}(V2,V3,V7), P_sum-{F}(V4,V7,V5), P_growth_rate-{F}(V1,V3,V8), V8 == V0, P_growth_rate-{F}(V2,V3,V8) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #306: mergings( V26 == V29, V10 == V1, V29 == V30, V1 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V24, V8 == V11, V11 == V2, V27 == V32, V2 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V25, V7 == V9, V9 == V12, V12 == V13, V13 == V16, V16 == V21, V4 == V33, V33 == V34, V34 == V35, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V24 == V41, V41 == V44, V44 == V47, V25 == V43, V43 == V46, V42 == V45, V46 == V49, V45 == V48, V3 == V21, V0 == V48, V5 == V40; #224 ), references = 2, size of lhs = 12:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_sum-{F}(V4,V4,V5), P_sum-{F}(V6,V4,V5), P_cardinality_at_time-{F}(V2,V3,V7), P_sum-{F}(V4,V7,V5), P_growth_rate-{F}(V1,V3,V8), V8 == V0, P_growth_rate-{F}(V2,V3,V8) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #331: mergings( V22 == V25, V26 == V28, V6 == V0, V25 == V28, V0 == V12, V12 == V14, V14 == V17, V17 == V19, V4 == V7, V7 == V19, V23 == V28, V19 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V20, V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V16, V16 == V21; #307 ), references = 1, size of lhs = 7:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1,V0), P_cardinality_at_time-{F}(V1,V2,V3), P_sum-{F}(V3,V3,V4), P_sum-{F}(V5,V3,V4) | P_growth_rate-{T}(V1,V2,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #354: mergings( V22 == V25, V26 == V28, V6 == V0, V25 == V28, V0 == V12, V12 == V14, V14 == V17, V17 == V19, V4 == V7, V7 == V19, V23 == V28, V19 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V20, V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V16, V16 == V21; #308 ), references = 1, size of lhs = 7:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1,V0), P_cardinality_at_time-{F}(V1,V2,V3), P_sum-{F}(V3,V3,V4), P_sum-{F}(V5,V3,V4) | P_growth_rate-{T}(V1,V2,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #359: exists( #31, #265 ), references = 1, size of lhs = 9:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), V5 == V0, P_growth_rate-{F}(V2,V3,V5) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #360: exists( #31, #306 ), references = 1, size of lhs = 9:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), V5 == V0, P_growth_rate-{F}(V2,V3,V5) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #363: exists( #32, #357 ), references = 1, size of lhs = 5:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1,V0), P_cardinality_at_time-{F}(V1,V2,V3) | P_growth_rate-{T}(V1,V2,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #366: exists( #26, #364 ), references = 1, size of lhs = 4:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), pppp2-{F}(V2,V1,V1,V0) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #368: exists( #18, #365 ), references = 1, size of lhs = 3:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #423: mergings( V20 == V24, V21 == V23, V1 == V9, V9 == V12, V12 == V15, V15 == V17, V2 == V10, V10 == V13, V23 == V24, V13 == V16, V16 == V18, V7 == V8, V8 == V11, V11 == V14, V14 == V19, V4 == V25, V5 == V26, V26 == V27, V17 == V28, V28 == V31, V18 == V30, V30 == V33, V29 == V32, V3 == V19, V0 == V32, V25 == V24; #396 ), references = 1, size of lhs = 10:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V2), P_cardinality_at_time-{F}(V0,V3,V4), V4 == V2, P_cardinality_at_time-{F}(V1,V3,V4), P_growth_rate-{F}(V0,V3,V4), P_sum-{F}(V4,V4,V5), P_growth_rate-{F}(V1,V3,V6) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #456: mergings( V15 == V17, V16 == V18, V1 == V9, V9 == V12, V2 == V10, V10 == V13, V7 == V8, V8 == V11, V11 == V14, V5 == V19; #445 ), references = 2, size of lhs = 10:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V4), P_growth_rate-{F}(V0,V3,V5), P_cardinality_at_time-{F}(V1,V3,V6), P_cardinality_at_time-{F}(V0,V3,V7), P_sum-{F}(V7,V6,V6), P_growth_rate-{F}(V1,V3,V8), V8 == V2 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #458: exists( #32, #456 ), references = 1, size of lhs = 9:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V4), P_cardinality_at_time-{F}(V1,V3,V5), P_cardinality_at_time-{F}(V0,V3,V6), P_sum-{F}(V6,V5,V5), P_growth_rate-{F}(V1,V3,V7), V7 == V2 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #460: exists( #32, #457 ), references = 1, size of lhs = 7:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V4), P_cardinality_at_time-{F}(V1,V3,V5), P_cardinality_at_time-{F}(V0,V3,V6), P_sum-{F}(V6,V5,V5) | P_growth_rate-{T}(V1,V3,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #502: mergings( V15 == V18, V16 == V17, V1 == V9, V9 == V12, V2 == V10, V10 == V13, V7 == V8, V8 == V11, V11 == V14, V4 == V19; #491 ), references = 1, size of lhs = 10:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V4), P_growth_rate-{F}(V1,V3,V5), P_cardinality_at_time-{F}(V0,V3,V6), P_cardinality_at_time-{F}(V1,V3,V7), P_sum-{F}(V6,V7,V6), P_growth_rate-{F}(V0,V3,V8), V8 == V2 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #512: mergings( V13 == V16, V14 == V15, V0 == V8, V5 == V6, V6 == V9, V3 == V4, V4 == V7, V7 == V10; #503 ), references = 2, size of lhs = 8:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V4), P_growth_rate-{F}(V1,V3,V5), P_cardinality_at_time-{F}(V0,V3,V6), P_cardinality_at_time-{F}(V1,V3,V7), P_sum-{F}(V6,V7,V6) | P_growth_rate-{T}(V0,V3,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #575: mergings( V22 == V26, V23 == V25, V1 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V20, V2 == V10, V10 == V13, V25 == V26, V13 == V16, V16 == V18, V18 == V21, V7 == V8, V8 == V11, V11 == V14, V14 == V19, V19 == V4, V4 == V28, V5 == V29, V29 == V30, V30 == V31, V31 == V32, V20 == V33, V33 == V36, V21 == V35, V35 == V38, V34 == V37, V3 == V28, V0 == V37; #544 ), references = 2, size of lhs = 11:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V1,V3,V0), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V4), P_sum-{F}(V4,V4,V5), P_sum-{F}(V6,V4,V5), P_growth_rate-{F}(V2,V3,V7), V7 == V0 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #656: mergings( V26 == V31, V27 == V29, V1 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V2 == V10, V10 == V13, V29 == V31, V13 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V7 == V8, V8 == V11, V11 == V14, V14 == V21, V4 == V35, V5 == V32, V32 == V33, V33 == V34, V35 == V36, V36 == V37, V37 == V38, V38 == V39, V39 == V40, V24 == V41, V41 == V44, V44 == V47, V25 == V43, V43 == V46, V42 == V45, V46 == V49, V45 == V48, V3 == V21, V0 == V48; #615 ), references = 1, size of lhs = 11:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V4), P_sum-{F}(V4,V4,V5), P_sum-{F}(V6,V4,V5), P_growth_rate-{F}(V1,V3,V7), V7 == V0, P_growth_rate-{F}(V2,V3,V8) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #685: mergings( V24 == V29, V25 == V27, V0 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V5 == V6, V6 == V9, V27 == V29, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V3 == V4, V4 == V7, V7 == V10, V10 == V17, V23 == V30, V30 == V31, V31 == V32, V21 == V33, V33 == V34, V34 == V35, V22 == V17; #657 ), references = 2, size of lhs = 9:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V4), P_sum-{F}(V4,V4,V5), P_sum-{F}(V6,V4,V5), P_growth_rate-{F}(V2,V3,V7) | P_growth_rate-{T}(V1,V3,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #710: mergings( V22 == V25, V23 == V25, V25 == V27, V27 == V28, V24 == V29, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V0, V3 == V4, V4 == V6, V6 == V8, V8 == V19, V19 == V21; #687 ), references = 1, size of lhs = 9:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V4), P_sum-{F}(V4,V4,V5), P_sum-{F}(V6,V4,V5), P_sum-{F}(V7,V4,V5) | P_growth_rate-{T}(V2,V3,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #733: mergings( V24 == V0, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V2 == V3, V3 == V5, V5 == V7, V7 == V19, V19 == V23; #713 ), references = 1, size of lhs = 6:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V4) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #753: mergings( V0 == V6, V6 == V13, V1 == V7, V7 == V14, V2 == V8, V8 == V15; #746 ), references = 1, size of lhs = 22:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_growth_rate-{F}(V3,V2,V6), V6 == V5, P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), environment-{F}(V9), in_environment-{F}(V9,V10), subpopulation-{F}(V11,V9,V10), P_cardinality_at_time-{F}(V11,V10,V12), P_sum-{F}(V12,V4,V0), greater-{F}(V12,V5), P_growth_rate-{F}(V11,V10,V13), greater-{F}(V14,V5), P_growth_rate-{F}(V15,V16,V13), pppp2-{F}(V16,V15,V17,V5), P_growth_rate-{F}(V17,V16,V14) | increases-{T}(V12)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #799: mergings( V26 == V30, V27 == V29, V29 == V31, V30 == V32, V1 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V23, V2 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V24, V7 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V25, V25 == V4, V4 == V34, V5 == V33, V23 == V35, V35 == V38, V24 == V37, V37 == V40, V36 == V39, V3 == V34, V0 == V39, V33 == V31; #765 ), references = 1, size of lhs = 10:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V0,V3,V2), pppp2-{F}(V3,V0,V1,V2), P_cardinality_at_time-{F}(V0,V3,V4), V4 == V2, P_growth_rate-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V1,V3,V5), P_sum-{F}(V4,V5,V6) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #822: mergings( V0 == V6, V6 == V13, V1 == V7, V7 == V14, V2 == V8, V8 == V15; #815 ), references = 3, size of lhs = 21:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), P_sum-{F}(V5,V4,V0), P_growth_rate-{F}(V3,V2,V6), P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), P_zero-{F}(V9), V6 == V9, greater-{F}(V4,V9), environment-{F}(V10), in_environment-{F}(V10,V11), subpopulation-{F}(V12,V10,V11), P_cardinality_at_time-{F}(V12,V11,V4), P_growth_rate-{F}(V12,V11,V13), greater-{F}(V9,V14), P_growth_rate-{F}(V15,V16,V14), pppp2-{F}(V16,V15,V17,V9), P_growth_rate-{F}(V17,V16,V13) | decreases-{T}(V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #864: mergings( V0 == V6, V6 == V20, V20 == V26, V26 == V38, V38 == V45, V45 == V49, V49 == V58, V58 == V64, V1 == V7, V7 == V21, V21 == V27, V27 == V39, V39 == V46, V46 == V50, V50 == V59, V59 == V65, V2 == V11, V11 == V12, V12 == V43, V43 == V44, V44 == V47, V47 == V51, V32 == V35, V35 == V70, V70 == V73, V34 == V37, V33 == V36, V25 == V31, V37 == V72, V36 == V71, V31 == V63, V72 == V75, V71 == V74, V63 == V69; #829 ), references = 1, size of lhs = 57:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), P_sum-{F}(V4,V5,V0), P_growth_rate-{F}(V3,V2,V6), greater-{F}(V4,V6), P_zero-{F}(V6), constant-{F}(V7), environment-{F}(V8), in_environment-{F}(V8,V9), subpopulation-{F}(V10,V8,V9), P_cardinality_at_time-{F}(V10,V9,V11), greater-{F}(V11,V6), P_sum-{F}(V12,V11,V7), P_growth_rate-{F}(V10,V9,V13), V13 == V6, environment-{F}(V14), in_environment-{F}(V14,V15), subpopulation-{F}(V16,V14,V15), P_cardinality_at_time-{F}(V16,V15,V11), P_growth_rate-{F}(V16,V15,V17), environment-{F}(V18), in_environment-{F}(V18,V19), subpopulation-{F}(V20,V18,V19), P_cardinality_at_time-{F}(V20,V19,V11), P_growth_rate-{F}(V20,V19,V17), environment-{F}(V21), in_environment-{F}(V21,V22), subpopulation-{F}(V23,V21,V22), P_cardinality_at_time-{F}(V23,V22,V4), P_growth_rate-{F}(V23,V22,V6), constant-{F}(V24), environment-{F}(V25), in_environment-{F}(V25,V26), subpopulation-{F}(V27,V25,V26), P_cardinality_at_time-{F}(V27,V26,V28), greater-{F}(V28,V6), P_sum-{F}(V29,V28,V24), P_growth_rate-{F}(V27,V26,V30), V30 == V6, environment-{F}(V31), in_environment-{F}(V31,V32), subpopulation-{F}(V33,V31,V32), P_cardinality_at_time-{F}(V33,V32,V28), P_growth_rate-{F}(V33,V32,V17), P_first_movers-{F}(V34), P_efficient_producers-{F}(V35), environment-{F}(V36), in_environment-{F}(V36,V37), subpopulation-{F}(V38,V36,V37), P_cardinality_at_time-{F}(V38,V37,V28), P_growth_rate-{F}(V38,V37,V17), P_growth_rate-{F}(V39,V40,V6), pppp2-{F}(V40,V39,V41,V6), P_growth_rate-{F}(V41,V40,V17) | pppp0-{T}(V4,V5)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #932: mergings( V38 == V42, V39 == V41, V41 == V43, V42 == V44, V1 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V30, V30 == V32, V32 == V34, V34 == V36, V2 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V7 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V26, V26 == V29, V29 == V4, V5 == V45, V45 == V46, V46 == V48, V48 == V49, V49 == V50, V50 == V52, V52 == V53, V36 == V54, V54 == V57, V57 == V60, V60 == V63, V37 == V56, V56 == V59, V55 == V58, V59 == V62, V58 == V61, V62 == V65, V61 == V64, V3 == V4, V0 == V64; #876 ), references = 2, size of lhs = 12:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V1,V3,V0), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), P_sum-{F}(V4,V5,V6), P_sum-{F}(V7,V5,V6), P_sum-{F}(V8,V5,V6), P_growth_rate-{F}(V2,V3,V9), V9 == V0 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #972: mergings( V34 == V38, V35 == V37, V38 == V39, V37 == V41, V39 == V40, V40 == V42, V41 == V43, V5 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V31, V6 == V0, V0 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V32, V3 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V21, V21 == V24, V24 == V33, V33 == V36; #934 ), references = 1, size of lhs = 9:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), P_sum-{F}(V4,V5,V4), P_sum-{F}(V6,V5,V4), P_sum-{F}(V7,V5,V4) | P_growth_rate-{T}(V2,V3,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1024: mergings( V17 == V21, V18 == V20, V20 == V22, V21 == V23, V1 == V9, V9 == V12, V12 == V14, V2 == V10, V10 == V13, V13 == V15, V7 == V8, V8 == V11, V11 == V16, V4 == V24, V24 == V25, V25 == V26, V14 == V27, V27 == V30, V15 == V29, V29 == V32, V28 == V31, V3 == V16, V0 == V31, V5 == V23; #999 ), references = 1, size of lhs = 11:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V2), P_cardinality_at_time-{F}(V0,V3,V4), P_sum-{F}(V4,V4,V5), P_cardinality_at_time-{F}(V1,V3,V6), P_sum-{F}(V4,V6,V5), P_growth_rate-{F}(V1,V3,V6), P_growth_rate-{F}(V0,V3,V7), V7 == V2 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1042: mergings( V15 == V19, V16 == V18, V18 == V20, V19 == V21, V0 == V8, V8 == V10, V5 == V6, V6 == V9, V9 == V11, V3 == V4, V4 == V7, V7 == V12, V11 == V22, V14 == V21, V22 == V23, V13 == V12; #1025 ), references = 1, size of lhs = 9:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V2), P_cardinality_at_time-{F}(V0,V3,V4), P_sum-{F}(V4,V4,V5), P_cardinality_at_time-{F}(V1,V3,V6), P_sum-{F}(V4,V6,V5), P_growth_rate-{F}(V1,V3,V6) | P_growth_rate-{T}(V0,V3,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1084: mergings( V17 == V21, V18 == V20, V1 == V9, V9 == V12, V12 == V14, V2 == V10, V10 == V13, V13 == V15, V7 == V8, V8 == V11, V11 == V16, V4 == V22, V22 == V23, V23 == V24, V14 == V25, V25 == V28, V15 == V27, V27 == V30, V26 == V29, V3 == V16, V0 == V29, V5 == V20; #1061 ), references = 1, size of lhs = 11:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V2), P_cardinality_at_time-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V4), P_sum-{F}(V4,V4,V5), P_cardinality_at_time-{F}(V1,V3,V6), P_sum-{F}(V4,V6,V5), P_growth_rate-{F}(V0,V3,V7), V7 == V2 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1100: mergings( V15 == V19, V16 == V18, V0 == V8, V8 == V10, V5 == V6, V6 == V9, V9 == V11, V3 == V4, V4 == V7, V7 == V12, V11 == V20, V14 == V18, V20 == V21, V13 == V12; #1085 ), references = 1, size of lhs = 9:
% 2.90/3.10 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp2-{F}(V3,V0,V1,V2), P_cardinality_at_time-{F}(V0,V3,V4), P_growth_rate-{F}(V1,V3,V4), P_sum-{F}(V4,V4,V5), P_cardinality_at_time-{F}(V1,V3,V6), P_sum-{F}(V4,V6,V5) | P_growth_rate-{T}(V0,V3,V2)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1120: mergings( V0 == V6, V6 == V13, V1 == V7, V7 == V14, V2 == V8, V8 == V15; #1113 ), references = 2, size of lhs = 22:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_growth_rate-{F}(V3,V2,V6), V6 == V5, P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), environment-{F}(V9), in_environment-{F}(V9,V10), subpopulation-{F}(V11,V9,V10), P_cardinality_at_time-{F}(V11,V10,V12), P_sum-{F}(V4,V12,V0), greater-{F}(V12,V5), P_growth_rate-{F}(V11,V10,V13), greater-{F}(V5,V14), P_growth_rate-{F}(V15,V16,V14), pppp2-{F}(V16,V15,V17,V5), P_growth_rate-{F}(V17,V16,V13) | increases-{T}(V4)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1132: mergings( V0 == V6, V6 == V13, V1 == V7, V7 == V14, V2 == V8, V8 == V15; #1124 ), references = 1, size of lhs = 22:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_growth_rate-{F}(V3,V2,V6), V6 == V5, P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), environment-{F}(V9), in_environment-{F}(V9,V10), subpopulation-{F}(V11,V9,V10), P_cardinality_at_time-{F}(V11,V10,V12), P_sum-{F}(V4,V12,V0), greater-{F}(V12,V5), P_growth_rate-{F}(V11,V10,V13), greater-{F}(V13,V14), P_growth_rate-{F}(V15,V16,V14), pppp2-{F}(V16,V15,V17,V13), P_growth_rate-{F}(V17,V16,V5) | increases-{T}(V12)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1139: mergings( V0 == V6, V6 == V13, V1 == V7, V7 == V14, V2 == V8, V8 == V15; #1125 ), references = 4, size of lhs = 22:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_growth_rate-{F}(V3,V2,V6), V6 == V5, P_first_movers-{F}(V7), P_efficient_producers-{F}(V8), environment-{F}(V9), in_environment-{F}(V9,V10), subpopulation-{F}(V11,V9,V10), P_cardinality_at_time-{F}(V11,V10,V12), P_sum-{F}(V4,V12,V0), greater-{F}(V12,V5), P_growth_rate-{F}(V11,V10,V13), greater-{F}(V14,V5), P_growth_rate-{F}(V15,V16,V14), pppp2-{F}(V16,V15,V17,V5), P_growth_rate-{F}(V17,V16,V13) | increases-{T}(V12)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1187: mergings( V0 == V6, V6 == V19, V19 == V26, V26 == V38, V38 == V45, V45 == V49, V49 == V57, V57 == V64, V1 == V7, V7 == V20, V20 == V27, V27 == V39, V39 == V46, V46 == V50, V50 == V58, V58 == V65, V2 == V12, V12 == V28, V28 == V44, V44 == V47, V47 == V51, V51 == V59, V32 == V35, V35 == V70, V70 == V73, V34 == V37, V33 == V36, V25 == V59, V37 == V72, V36 == V71, V11 == V43, V72 == V75, V71 == V74, V59 == V69; #1151 ), references = 1, size of lhs = 59:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), P_sum-{F}(V4,V5,V0), P_growth_rate-{F}(V3,V2,V6), constant-{F}(V7), environment-{F}(V8), in_environment-{F}(V8,V9), subpopulation-{F}(V10,V8,V9), P_cardinality_at_time-{F}(V10,V9,V11), greater-{F}(V11,V12), greater-{F}(V4,V12), P_zero-{F}(V12), P_growth_rate-{F}(V10,V9,V13), V13 == V12, environment-{F}(V14), in_environment-{F}(V14,V15), subpopulation-{F}(V16,V14,V15), P_growth_rate-{F}(V16,V15,V12), P_cardinality_at_time-{F}(V16,V15,V17), P_sum-{F}(V11,V17,V7), greater-{F}(V17,V12), environment-{F}(V18), in_environment-{F}(V18,V19), subpopulation-{F}(V20,V18,V19), P_cardinality_at_time-{F}(V20,V19,V17), P_growth_rate-{F}(V20,V19,V12), environment-{F}(V21), in_environment-{F}(V21,V22), subpopulation-{F}(V23,V21,V22), P_cardinality_at_time-{F}(V23,V22,V4), P_growth_rate-{F}(V23,V22,V6), constant-{F}(V24), environment-{F}(V25), in_environment-{F}(V25,V26), subpopulation-{F}(V27,V25,V26), P_cardinality_at_time-{F}(V27,V26,V28), greater-{F}(V28,V12), P_growth_rate-{F}(V27,V26,V29), V29 == V12, environment-{F}(V30), in_environment-{F}(V30,V31), subpopulation-{F}(V32,V30,V31), P_growth_rate-{F}(V32,V31,V12), P_cardinality_at_time-{F}(V32,V31,V33), P_sum-{F}(V28,V33,V24), greater-{F}(V33,V12), P_first_movers-{F}(V34), P_efficient_producers-{F}(V35), environment-{F}(V36), in_environment-{F}(V36,V37), subpopulation-{F}(V38,V36,V37), P_cardinality_at_time-{F}(V38,V37,V33), P_growth_rate-{F}(V38,V37,V12), P_growth_rate-{F}(V39,V40,V6), pppp2-{F}(V40,V39,V41,V12), P_growth_rate-{F}(V41,V40,V12) | pppp0-{T}(V4,V5)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1238: mergings( V0 == V6, V6 == V19, V19 == V26, V26 == V38, V38 == V45, V45 == V49, V49 == V57, V57 == V64, V64 == V71, V71 == V75, V75 == V83, V83 == V90, V1 == V7, V7 == V20, V20 == V27, V27 == V39, V39 == V46, V46 == V50, V50 == V58, V58 == V65, V65 == V72, V72 == V76, V76 == V84, V84 == V91, V2 == V12, V12 == V28, V28 == V44, V44 == V47, V47 == V51, V51 == V66, V66 == V73, V73 == V77, V77 == V85, V85 == V92, V32 == V35, V35 == V96, V96 == V99, V99 == V102, V34 == V37, V33 == V36, V25 == V92, V37 == V98, V36 == V97, V11 == V43, V92 == V63, V98 == V101, V97 == V100, V101 == V104, V100 == V103, V43 == V70; #1152 ), references = 1, size of lhs = 79:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), P_sum-{F}(V4,V5,V0), P_growth_rate-{F}(V3,V2,V6), constant-{F}(V7), environment-{F}(V8), in_environment-{F}(V8,V9), subpopulation-{F}(V10,V8,V9), P_cardinality_at_time-{F}(V10,V9,V11), greater-{F}(V11,V12), greater-{F}(V4,V12), P_zero-{F}(V12), P_growth_rate-{F}(V10,V9,V13), V13 == V12, environment-{F}(V14), in_environment-{F}(V14,V15), subpopulation-{F}(V16,V14,V15), P_growth_rate-{F}(V16,V15,V12), P_cardinality_at_time-{F}(V16,V15,V17), P_sum-{F}(V11,V17,V7), greater-{F}(V17,V12), environment-{F}(V18), in_environment-{F}(V18,V19), subpopulation-{F}(V20,V18,V19), P_cardinality_at_time-{F}(V20,V19,V17), P_growth_rate-{F}(V20,V19,V12), environment-{F}(V21), in_environment-{F}(V21,V22), subpopulation-{F}(V23,V21,V22), P_cardinality_at_time-{F}(V23,V22,V4), P_growth_rate-{F}(V23,V22,V6), constant-{F}(V24), environment-{F}(V25), in_environment-{F}(V25,V26), subpopulation-{F}(V27,V25,V26), P_cardinality_at_time-{F}(V27,V26,V28), greater-{F}(V28,V12), P_growth_rate-{F}(V27,V26,V29), V29 == V12, environment-{F}(V30), in_environment-{F}(V30,V31), subpopulation-{F}(V32,V30,V31), P_growth_rate-{F}(V32,V31,V12), P_cardinality_at_time-{F}(V32,V31,V33), P_sum-{F}(V28,V33,V24), greater-{F}(V33,V12), environment-{F}(V34), in_environment-{F}(V34,V35), subpopulation-{F}(V36,V34,V35), P_cardinality_at_time-{F}(V36,V35,V28), P_growth_rate-{F}(V36,V35,V6), constant-{F}(V37), environment-{F}(V38), in_environment-{F}(V38,V39), subpopulation-{F}(V40,V38,V39), P_cardinality_at_time-{F}(V40,V39,V41), greater-{F}(V41,V12), P_growth_rate-{F}(V40,V39,V42), V42 == V12, environment-{F}(V43), in_environment-{F}(V43,V44), subpopulation-{F}(V45,V43,V44), P_growth_rate-{F}(V45,V44,V12), P_cardinality_at_time-{F}(V45,V44,V46), P_sum-{F}(V41,V46,V37), greater-{F}(V46,V12), P_first_movers-{F}(V47), P_efficient_producers-{F}(V48), environment-{F}(V49), in_environment-{F}(V49,V50), subpopulation-{F}(V51,V49,V50), P_cardinality_at_time-{F}(V51,V50,V46), P_growth_rate-{F}(V51,V50,V12), P_growth_rate-{F}(V52,V53,V6), pppp2-{F}(V53,V52,V54,V12), P_growth_rate-{F}(V54,V53,V12) | pppp0-{T}(V4,V5)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1306: mergings( V38 == V42, V39 == V41, V41 == V43, V42 == V44, V1 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V36, V2 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V32, V32 == V34, V34 == V37, V7 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V28, V28 == V35, V35 == V5, V4 == V47, V5 == V45, V45 == V46, V47 == V48, V48 == V49, V49 == V50, V50 == V52, V36 == V53, V53 == V56, V56 == V59, V59 == V62, V37 == V55, V55 == V58, V54 == V57, V58 == V61, V57 == V60, V61 == V64, V60 == V63, V3 == V46, V0 == V63; #1250 ), references = 1, size of lhs = 11:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_growth_rate-{F}(V2,V3,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), P_sum-{F}(V4,V5,V6), P_sum-{F}(V4,V7,V6), P_growth_rate-{F}(V1,V3,V8), V8 == V0 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1349: mergings( V36 == V40, V37 == V39, V39 == V41, V40 == V42, V0 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V32, V5 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V33, V3 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V24, V24 == V31, V31 == V35, V35 == V43, V43 == V44, V33 == V46, V46 == V47, V47 == V48, V48 == V49, V34 == V44; #1307 ), references = 2, size of lhs = 9:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_growth_rate-{F}(V2,V3,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), P_sum-{F}(V4,V5,V6), P_sum-{F}(V4,V7,V6) | P_growth_rate-{T}(V1,V3,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1416: mergings( V24 == V28, V25 == V27, V27 == V29, V28 == V30, V1 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V22, V2 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V23, V7 == V8, V8 == V11, V11 == V14, V14 == V21, V4 == V35, V5 == V31, V31 == V32, V32 == V33, V33 == V34, V35 == V36, V22 == V37, V37 == V40, V40 == V43, V23 == V39, V39 == V42, V38 == V41, V42 == V45, V41 == V44, V30 == V36, V3 == V21, V0 == V44; #1378 ), references = 1, size of lhs = 11:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), V5 == V0, P_growth_rate-{F}(V1,V3,V5), P_sum-{F}(V4,V5,V6), P_growth_rate-{F}(V2,V3,V7), V7 == V0 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1456: mergings( V0 == V6, V6 == V13, V13 == V26, V26 == V38, V38 == V45, V45 == V52, V1 == V7, V7 == V14, V14 == V27, V27 == V39, V39 == V46, V46 == V53, V2 == V8, V8 == V19, V19 == V51, V59 == V62, V62 == V65, V61 == V64, V60 == V63, V31 == V44, V64 == V67, V63 == V66, V18 == V58, V44 == V50; #1431 ), references = 1, size of lhs = 61:
% 2.90/3.10 constant-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), subpopulation-{F}(V3,V1,V2), P_cardinality_at_time-{F}(V3,V2,V4), greater-{F}(V4,V5), P_zero-{F}(V5), P_growth_rate-{F}(V3,V2,V6), V6 == V5, environment-{F}(V7), in_environment-{F}(V7,V8), subpopulation-{F}(V9,V7,V8), P_cardinality_at_time-{F}(V9,V8,V10), P_sum-{F}(V10,V4,V0), greater-{F}(V10,V5), P_growth_rate-{F}(V9,V8,V11), constant-{F}(V12), environment-{F}(V13), in_environment-{F}(V13,V14), subpopulation-{F}(V15,V13,V14), P_cardinality_at_time-{F}(V15,V14,V16), greater-{F}(V16,V5), P_growth_rate-{F}(V15,V14,V17), V17 == V5, environment-{F}(V18), in_environment-{F}(V18,V19), subpopulation-{F}(V20,V18,V19), P_cardinality_at_time-{F}(V20,V19,V16), P_growth_rate-{F}(V20,V19,V21), constant-{F}(V22), environment-{F}(V23), in_environment-{F}(V23,V24), subpopulation-{F}(V25,V23,V24), P_cardinality_at_time-{F}(V25,V24,V26), greater-{F}(V26,V5), P_growth_rate-{F}(V25,V24,V27), V27 == V5, environment-{F}(V28), in_environment-{F}(V28,V29), subpopulation-{F}(V30,V28,V29), P_growth_rate-{F}(V30,V29,V21), P_cardinality_at_time-{F}(V30,V29,V31), P_sum-{F}(V26,V31,V22), greater-{F}(V31,V5), environment-{F}(V32), in_environment-{F}(V32,V33), subpopulation-{F}(V34,V32,V33), P_cardinality_at_time-{F}(V34,V33,V31), P_growth_rate-{F}(V34,V33,V21), P_first_movers-{F}(V35), P_efficient_producers-{F}(V36), environment-{F}(V37), in_environment-{F}(V37,V38), subpopulation-{F}(V39,V37,V38), P_growth_rate-{F}(V39,V38,V11), P_cardinality_at_time-{F}(V39,V38,V40), P_sum-{F}(V40,V16,V12), greater-{F}(V40,V5), P_growth_rate-{F}(V41,V42,V11), pppp2-{F}(V42,V41,V43,V5), P_growth_rate-{F}(V43,V42,V21) | decreases-{T}(V10)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1544: mergings( V41 == V45, V42 == V44, V44 == V46, V45 == V47, V1 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V39, V2 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V40, V7 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V38, V4 == V48, V5 == V54, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V54 == V55, V55 == V56, V56 == V57, V57 == V58, V58 == V59, V59 == V60, V60 == V61, V61 == V63, V39 == V64, V64 == V67, V67 == V70, V70 == V73, V73 == V76, V76 == V79, V40 == V66, V66 == V69, V65 == V68, V69 == V72, V68 == V71, V72 == V75, V71 == V74, V75 == V78, V74 == V77, V78 == V81, V77 == V80, V3 == V38, V0 == V80; #1472 ), references = 1, size of lhs = 12:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), P_sum-{F}(V4,V5,V6), P_sum-{F}(V7,V5,V6), P_growth_rate-{F}(V1,V3,V8), V8 == V0, P_growth_rate-{F}(V2,V3,V9), V9 == V0 | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1598: mergings( V39 == V43, V40 == V42, V42 == V44, V43 == V45, V0 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V5 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V36, V3 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V34, V38 == V46, V46 == V47, V47 == V48, V48 == V49, V49 == V50, V50 == V51, V51 == V52, V52 == V53, V53 == V55, V36 == V56, V56 == V57, V57 == V58, V58 == V59, V59 == V60, V60 == V61, V37 == V34; #1545 ), references = 1, size of lhs = 10:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), P_sum-{F}(V4,V5,V6), P_sum-{F}(V7,V5,V6), P_growth_rate-{F}(V2,V3,V8), V8 == V0 | P_growth_rate-{T}(V1,V3,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1640: mergings( V37 == V41, V38 == V40, V40 == V42, V41 == V43, V42 == V45, V43 == V46, V39 == V47, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V5 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V0, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V34, V34 == V36; #1600 ), references = 1, size of lhs = 10:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5), P_sum-{F}(V4,V5,V6), P_sum-{F}(V7,V5,V6), P_sum-{F}(V8,V5,V6), P_sum-{F}(V9,V5,V6) | P_growth_rate-{T}(V2,V3,V0)
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1679: mergings( V40 == V1, V41 == V0, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V5 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V37, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V35, V35 == V39; #1643 ), references = 1, size of lhs = 6:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V1,V3,V4), P_cardinality_at_time-{F}(V2,V3,V5) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1714: mergings( V37 == V38, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V0, V5 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V34, V34 == V36; #1680 ), references = 1, size of lhs = 5:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0), P_cardinality_at_time-{F}(V2,V3,V4) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1748: mergings( V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V5 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V0, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V34, V34 == V36; #1715 ), references = 1, size of lhs = 4:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp2-{F}(V3,V1,V2,V0) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1781: mergings( V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V0, V6 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V1, V4 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V2; #1749 ), references = 1, size of lhs = 3:
% 2.90/3.10 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1801: mergings( V3 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V20, V1 == V2, V2 == V4, V4 == V5, V5 == V7, V7 == V19; #1782 ), references = 1, size of lhs = 2:
% 2.90/3.10 P_zero-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1808: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1802 ), references = 1, size of lhs = 1:
% 2.90/3.10 P_zero-{F}(V0) | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 #1810: exists( #27, #1802 ), references = 1, size of lhs = 0:
% 2.90/3.10 FALSE | FALSE
% 2.90/3.10 (used 0 times, uses = {})
% 2.90/3.10
% 2.90/3.10 number of learnt formulas = 57
% 2.90/3.10
% 2.90/3.10
% 2.90/3.10 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.90/3.10
% 2.90/3.10 randbase = 1
%------------------------------------------------------------------------------