TSTP Solution File: MGT029+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT029+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:10:36 EDT 2022
% Result : Theorem 8.85s 9.02s
% Output : Refutation 8.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT029+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 11:12:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.85/9.02 GeoParameters:
% 8.85/9.02
% 8.85/9.02 tptp_input = 1
% 8.85/9.02 tptp_output = 0
% 8.85/9.02 nonempty = 1
% 8.85/9.02 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.85/9.02 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 8.85/9.02
% 8.85/9.02
% 8.85/9.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.85/9.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.85/9.02
% 8.85/9.02 RuleSystem INPUT:
% 8.85/9.02
% 8.85/9.02 Initial Rules:
% 8.85/9.02 #0: input, references = 60, size of lhs = 2:
% 8.85/9.02 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1: input, references = 18, size of lhs = 3:
% 8.85/9.02 in_environment-{F}(V2,V0), in_environment-{F}(V2,V1), V1 == V0 | greater-{T}(V1,V0), greater-{T}(V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2: input, references = 47, size of lhs = 1:
% 8.85/9.02 greater_or_equal-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #3: input, references = 57, size of lhs = 1:
% 8.85/9.02 pppp0-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #4: input, references = 47, size of lhs = 2:
% 8.85/9.02 pppp0-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #5: input, references = 54, size of lhs = 1:
% 8.85/9.02 greater-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #6: input, references = 6, size of lhs = 1:
% 8.85/9.02 #-{F} V1 | pppp0-{T}(V1,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #7: input, references = 8, size of lhs = 9:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V0,V2,V6,V3), greater_or_equal-{F}(V3,V7) | pppp1-{T}(V4,V1,V5), greater-{T}(V4,V1), greater-{T}(V5,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #8: input, references = 4, size of lhs = 9:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V0,V2,V6,V3), greater_or_equal-{F}(V3,V7) | pppp1-{T}(V4,V1,V5), greater-{T}(V4,V1), greater-{T}(V1,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #9: input, references = 4, size of lhs = 9:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V0,V2,V6,V3), greater_or_equal-{F}(V3,V7) | pppp1-{T}(V4,V1,V5), greater-{T}(V1,V5), greater-{T}(V5,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #10: input, references = 5, size of lhs = 9:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V0,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V0,V2,V6,V3), greater_or_equal-{F}(V3,V7) | pppp1-{T}(V4,V1,V5), greater-{T}(V1,V5), greater-{T}(V1,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #11: input, references = 16, size of lhs = 2:
% 8.85/9.02 pppp1-{F}(V0,V1,V2), V2 == V1 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #12: input, references = 14, size of lhs = 2:
% 8.85/9.02 pppp1-{F}(V0,V1,V2), V0 == V1 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #13: input, references = 5, size of lhs = 5:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), stable-{F}(V3) | EXISTS V4: pppp2-{T}(V3,V4,V0,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #14: input, references = 44, size of lhs = 5:
% 8.85/9.02 pppp2-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V3,V4,V5), P_growth_rate-{F}(V2,V4,V6), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1) | greater-{T}(V5,V6)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #15: input, references = 8, size of lhs = 1:
% 8.85/9.02 pppp2-{F}(V0,V1,V2,V3) | in_environment-{T}(V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #16: input, references = 9, size of lhs = 6:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), P_equilibrium-{F}(V3,V4), environment-{F}(V3), stable-{F}(V3) | EXISTS V5: pppp3-{T}(V3,V5,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #17: input, references = 15, size of lhs = 1:
% 8.85/9.02 pppp3-{F}(V0,V1,V2) | greater_or_equal-{T}(V1,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #18: input, references = 16, size of lhs = 1:
% 8.85/9.02 pppp3-{F}(V0,V1,V2) | in_environment-{T}(V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #19: input, references = 5, size of lhs = 3:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2) | EXISTS V3: pppp5-{T}(V3,V0,V1,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #20: input, references = 23, size of lhs = 2:
% 8.85/9.02 pppp5-{F}(V0,V1,V2,V3), in_environment-{F}(V0,V4) | EXISTS V5: pppp4-{T}(V0,V5,V4,V1,V2,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #21: input, references = 5, size of lhs = 1:
% 8.85/9.02 pppp5-{F}(V0,V1,V2,V3) | stable-{T}(V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #22: input, references = 5, size of lhs = 1:
% 8.85/9.02 pppp5-{F}(V0,V1,V2,V3) | environment-{T}(V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #23: input, references = 38, size of lhs = 5:
% 8.85/9.02 pppp4-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V5,V1,V6), P_growth_rate-{F}(V3,V1,V7), greater-{F}(V6,V4), greater-{F}(V4,V7) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #24: input, references = 52, size of lhs = 3:
% 8.85/9.02 pppp4-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V5,V1,V6), P_growth_rate-{F}(V3,V1,V7) | greater_or_equal-{T}(V1,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #25: input, references = 72, size of lhs = 3:
% 8.85/9.02 pppp4-{F}(V0,V1,V2,V3,V4,V5), P_growth_rate-{F}(V5,V1,V6), P_growth_rate-{F}(V3,V1,V7) | subpopulations-{T}(V3,V5,V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #26: input, references = 4, size of lhs = 0:
% 8.85/9.02 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #27: input, references = 4, size of lhs = 0:
% 8.85/9.02 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #28: input, references = 5, size of lhs = 1:
% 8.85/9.02 #-{F} V0 | EXISTS V1: P_equilibrium-{T}(V0,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #29: input, references = 36, size of lhs = 2:
% 8.85/9.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #30: input, references = 5, size of lhs = 0:
% 8.85/9.02 FALSE | EXISTS V0: P_zero-{T}(V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 number of initial rules = 31
% 8.85/9.02
% 8.85/9.02 Simplifiers:
% 8.85/9.02 #31: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #32: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #33: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #34: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #35: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #36: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #37: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 P_equilibrium-{F}(V0,V1), P_equilibrium-{F}(V0,V3), V1 == V3 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #38: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V1 == V4 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #39: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #40: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #41: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #42: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V2), V1 == V4 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #43: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V2 == V5 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #44: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V0,V7,V2,V3,V4,V5), V1 == V7 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #45: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V7,V8,V3,V4,V5), V0 == V6 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #46: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V7,V8,V9,V10,V11), V3 == V9 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #47: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V7,V8,V9,V10,V11), V4 == V10 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #48: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp4-{F}(V0,V1,V2,V3,V4,V5), pppp4-{F}(V6,V7,V8,V9,V10,V11), V5 == V11 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #49: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #50: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #51: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #52: unsound, references = 3, size of lhs = 3:
% 8.85/9.02 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 number of simplifiers = 22
% 8.85/9.02
% 8.85/9.02 Learnt:
% 8.85/9.02 #57: mergings( V11 == V17, V12 == V18, V8 == V14; #53 ), references = 10, size of lhs = 17:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V2,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V0,V5,V6), P_growth_rate-{F}(V2,V5,V7), greater-{F}(V8,V1), greater-{F}(V9,V1), P_growth_rate-{F}(V10,V11,V7), P_growth_rate-{F}(V10,V12,V6), P_growth_rate-{F}(V13,V11,V8), P_growth_rate-{F}(V13,V12,V9), pppp4-{F}(V14,V11,V15,V10,V1,V13), pppp4-{F}(V14,V12,V16,V10,V1,V13) | pppp1-{T}(V6,V1,V7)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #74: disj( #1, #5+#3+#57+#11 ), references = 2, size of lhs = 18:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), in_environment-{F}(V2,V1), in_environment-{F}(V2,V3), V1 == V3, P_efficient_producers-{F}(V4), environment-{F}(V5), P_equilibrium-{F}(V5,V1), subpopulations-{F}(V0,V4,V5,V3), P_growth_rate-{F}(V0,V3,V6), P_growth_rate-{F}(V4,V3,V7), V7 == V1, P_growth_rate-{F}(V8,V9,V7), P_growth_rate-{F}(V8,V10,V6), P_growth_rate-{F}(V11,V9,V3), P_growth_rate-{F}(V11,V10,V3), pppp4-{F}(V12,V9,V13,V8,V1,V11), pppp4-{F}(V12,V10,V14,V8,V1,V11) | greater-{T}(V1,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #75: disj( #1, #5+#3+#57+#12 ), references = 1, size of lhs = 18:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), in_environment-{F}(V2,V1), in_environment-{F}(V2,V3), V1 == V3, P_efficient_producers-{F}(V4), environment-{F}(V5), P_equilibrium-{F}(V5,V1), subpopulations-{F}(V0,V4,V5,V3), P_growth_rate-{F}(V0,V3,V6), V6 == V1, P_growth_rate-{F}(V4,V3,V7), P_growth_rate-{F}(V8,V9,V7), P_growth_rate-{F}(V8,V10,V6), P_growth_rate-{F}(V11,V9,V3), P_growth_rate-{F}(V11,V10,V3), pppp4-{F}(V12,V9,V13,V8,V1,V11), pppp4-{F}(V12,V10,V14,V8,V1,V11) | greater-{T}(V1,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #110: mergings( V0 == V8, V8 == V22, V2 == V9, V9 == V23, V15 == V29, V18 == V32, V19 == V33; #99 ), references = 11, size of lhs = 35:
% 8.85/9.02 environment-{F}(V0), P_equilibrium-{F}(V0,V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), P_first_movers-{F}(V4), P_zero-{F}(V5), P_efficient_producers-{F}(V6), subpopulations-{F}(V4,V6,V0,V7), greater_or_equal-{F}(V7,V1), P_growth_rate-{F}(V4,V7,V8), P_growth_rate-{F}(V6,V7,V9), subpopulations-{F}(V4,V6,V2,V10), greater_or_equal-{F}(V10,V3), P_growth_rate-{F}(V4,V10,V11), P_growth_rate-{F}(V6,V10,V12), V12 == V5, environment-{F}(V13), P_equilibrium-{F}(V13,V14), subpopulations-{F}(V4,V6,V13,V15), greater_or_equal-{F}(V15,V14), P_growth_rate-{F}(V4,V15,V16), P_growth_rate-{F}(V6,V15,V17), V17 == V5, P_growth_rate-{F}(V18,V19,V12), P_growth_rate-{F}(V18,V20,V11), P_growth_rate-{F}(V18,V21,V17), P_growth_rate-{F}(V18,V22,V16), P_growth_rate-{F}(V23,V19,V8), P_growth_rate-{F}(V23,V20,V8), P_growth_rate-{F}(V23,V21,V9), P_growth_rate-{F}(V23,V22,V9), pppp4-{F}(V24,V19,V25,V18,V5,V23), pppp4-{F}(V24,V20,V26,V18,V5,V23), pppp4-{F}(V24,V21,V27,V18,V5,V23), pppp4-{F}(V24,V22,V28,V18,V5,V23) | pppp1-{T}(V8,V5,V9)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #118: mergings( V0 == V8, V8 == V22, V2 == V9, V9 == V23, V15 == V29, V18 == V32, V19 == V33; #100 ), references = 1, size of lhs = 35:
% 8.85/9.02 environment-{F}(V0), P_equilibrium-{F}(V0,V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), P_first_movers-{F}(V4), P_zero-{F}(V5), P_efficient_producers-{F}(V6), subpopulations-{F}(V4,V6,V0,V7), greater_or_equal-{F}(V7,V1), P_growth_rate-{F}(V4,V7,V8), P_growth_rate-{F}(V6,V7,V9), subpopulations-{F}(V4,V6,V2,V10), greater_or_equal-{F}(V10,V3), P_growth_rate-{F}(V4,V10,V11), P_growth_rate-{F}(V6,V10,V12), V12 == V5, environment-{F}(V13), P_equilibrium-{F}(V13,V14), subpopulations-{F}(V4,V6,V13,V15), greater_or_equal-{F}(V15,V14), P_growth_rate-{F}(V4,V15,V16), V16 == V5, P_growth_rate-{F}(V6,V15,V17), P_growth_rate-{F}(V18,V19,V12), P_growth_rate-{F}(V18,V20,V11), P_growth_rate-{F}(V18,V21,V17), P_growth_rate-{F}(V18,V22,V16), P_growth_rate-{F}(V23,V19,V8), P_growth_rate-{F}(V23,V20,V8), P_growth_rate-{F}(V23,V21,V9), P_growth_rate-{F}(V23,V22,V9), pppp4-{F}(V24,V19,V25,V18,V5,V23), pppp4-{F}(V24,V20,V26,V18,V5,V23), pppp4-{F}(V24,V21,V27,V18,V5,V23), pppp4-{F}(V24,V22,V28,V18,V5,V23) | pppp1-{T}(V8,V5,V9)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #126: mergings( V0 == V8, V8 == V22, V2 == V9, V9 == V23, V15 == V29, V18 == V32, V19 == V33; #101 ), references = 1, size of lhs = 35:
% 8.85/9.02 environment-{F}(V0), P_equilibrium-{F}(V0,V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), P_first_movers-{F}(V4), P_zero-{F}(V5), P_efficient_producers-{F}(V6), subpopulations-{F}(V4,V6,V0,V7), greater_or_equal-{F}(V7,V1), P_growth_rate-{F}(V4,V7,V8), P_growth_rate-{F}(V6,V7,V9), subpopulations-{F}(V4,V6,V2,V10), greater_or_equal-{F}(V10,V3), P_growth_rate-{F}(V4,V10,V11), V11 == V5, P_growth_rate-{F}(V6,V10,V12), environment-{F}(V13), P_equilibrium-{F}(V13,V14), subpopulations-{F}(V4,V6,V13,V15), greater_or_equal-{F}(V15,V14), P_growth_rate-{F}(V4,V15,V16), P_growth_rate-{F}(V6,V15,V17), V17 == V5, P_growth_rate-{F}(V18,V19,V12), P_growth_rate-{F}(V18,V20,V11), P_growth_rate-{F}(V18,V21,V17), P_growth_rate-{F}(V18,V22,V16), P_growth_rate-{F}(V23,V19,V8), P_growth_rate-{F}(V23,V20,V8), P_growth_rate-{F}(V23,V21,V9), P_growth_rate-{F}(V23,V22,V9), pppp4-{F}(V24,V19,V25,V18,V5,V23), pppp4-{F}(V24,V20,V26,V18,V5,V23), pppp4-{F}(V24,V21,V27,V18,V5,V23), pppp4-{F}(V24,V22,V28,V18,V5,V23) | pppp1-{T}(V8,V5,V9)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #140: mergings( V8 == V11, V7 == V3, V4 == V11, V3 == V15, V11 == V14; #133 ), references = 9, size of lhs = 11:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), pppp4-{F}(V2,V4,V3,V0,V1,V0), pppp4-{F}(V2,V4,V5,V0,V1,V0), pppp4-{F}(V2,V4,V6,V0,V1,V0), pppp4-{F}(V2,V4,V7,V0,V1,V0), pppp4-{F}(V2,V4,V8,V0,V1,V0), pppp4-{F}(V2,V4,V9,V0,V1,V0) | P_growth_rate-{T}(V0,V4,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #146: mergings( V8 == V11, V7 == V3, V4 == V11, V3 == V15, V11 == V14; #134 ), references = 1, size of lhs = 11:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), pppp4-{F}(V2,V4,V3,V0,V1,V0), pppp4-{F}(V2,V4,V5,V0,V1,V0), pppp4-{F}(V2,V4,V6,V0,V1,V0), pppp4-{F}(V2,V4,V7,V0,V1,V0), pppp4-{F}(V2,V4,V8,V0,V1,V0), pppp4-{F}(V2,V4,V9,V0,V1,V0) | P_growth_rate-{T}(V0,V4,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #157: exists( #20, #155 ), references = 3, size of lhs = 9:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), pppp5-{F}(V2,V0,V1,V0), in_environment-{F}(V2,V3), P_equilibrium-{F}(V2,V3), greater-{F}(V3,V4), pppp2-{F}(V2,V4,V0,V0) | pppp4-{T}(V2,V3,V3,V0,V1,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #213: mergings( V8 == V3, V4 == V9, V3 == V15, V9 == V14; #207 ), references = 9, size of lhs = 13:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), greater-{F}(V4,V3), pppp4-{F}(V2,V5,V4,V0,V1,V0), V5 == V4, pppp4-{F}(V2,V5,V6,V0,V1,V0), pppp4-{F}(V2,V5,V7,V0,V1,V0), pppp4-{F}(V2,V5,V8,V0,V1,V0), pppp4-{F}(V2,V5,V9,V0,V1,V0), pppp4-{F}(V2,V5,V10,V0,V1,V0) | P_growth_rate-{T}(V0,V5,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #218: mergings( V8 == V3, V4 == V9, V3 == V15, V9 == V14; #208 ), references = 1, size of lhs = 13:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), greater-{F}(V4,V3), pppp4-{F}(V2,V5,V4,V0,V1,V0), V5 == V4, pppp4-{F}(V2,V5,V6,V0,V1,V0), pppp4-{F}(V2,V5,V7,V0,V1,V0), pppp4-{F}(V2,V5,V8,V0,V1,V0), pppp4-{F}(V2,V5,V9,V0,V1,V0), pppp4-{F}(V2,V5,V10,V0,V1,V0) | P_growth_rate-{T}(V0,V5,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #233: mergings( V11 == V20, V10 == V4, V5 == V20, V4 == V17, V20 == V16, V17 == V19, V16 == V6, V19 == V23, V6 == V22; #223 ), references = 1, size of lhs = 19:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), in_environment-{F}(V4,V3), in_environment-{F}(V4,V5), V3 == V5, pppp2-{F}(V2,V6,V0,V0), pppp4-{F}(V2,V7,V5,V0,V1,V0), V7 == V5, pppp4-{F}(V2,V7,V6,V0,V1,V0), pppp4-{F}(V2,V7,V8,V0,V1,V0), pppp4-{F}(V2,V7,V9,V0,V1,V0), pppp4-{F}(V2,V7,V10,V0,V1,V0), pppp4-{F}(V2,V7,V11,V0,V1,V0), pppp4-{F}(V2,V7,V12,V0,V1,V0), pppp4-{F}(V2,V7,V13,V0,V1,V0), pppp4-{F}(V2,V7,V14,V0,V1,V0) | greater-{T}(V3,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #245: mergings( V1 == V7, V2 == V8, V0 == V9; #241 ), references = 5, size of lhs = 12:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), pppp5-{F}(V2,V0,V1,V0), in_environment-{F}(V2,V3), pppp2-{F}(V2,V3,V0,V0), in_environment-{F}(V4,V3), in_environment-{F}(V4,V5), V5 == V3, in_environment-{F}(V2,V5), P_equilibrium-{F}(V2,V5) | pppp4-{T}(V2,V3,V3,V0,V1,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #266: mergings( V5 == V6, V6 == V7, V9 == V3, V4 == V10; #260 ), references = 9, size of lhs = 11:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), greater_or_equal-{F}(V4,V3), pppp4-{F}(V2,V4,V5,V0,V1,V0), pppp4-{F}(V2,V4,V6,V0,V1,V0), pppp4-{F}(V2,V4,V7,V0,V1,V0), pppp4-{F}(V2,V4,V8,V0,V1,V0), pppp4-{F}(V2,V4,V9,V0,V1,V0) | P_growth_rate-{T}(V0,V4,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #271: mergings( V5 == V6, V6 == V7, V9 == V3, V4 == V10; #261 ), references = 1, size of lhs = 11:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), P_equilibrium-{F}(V2,V3), greater_or_equal-{F}(V4,V3), pppp4-{F}(V2,V4,V5,V0,V1,V0), pppp4-{F}(V2,V4,V6,V0,V1,V0), pppp4-{F}(V2,V4,V7,V0,V1,V0), pppp4-{F}(V2,V4,V8,V0,V1,V0), pppp4-{F}(V2,V4,V9,V0,V1,V0) | P_growth_rate-{T}(V0,V4,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #276: mergings( V9 == V14, V10 == V15, V6 == V11; #272 ), references = 1, size of lhs = 15:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V2,V3,V5), P_growth_rate-{F}(V0,V5,V1), P_growth_rate-{F}(V2,V5,V1), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V6,V7,V1), P_growth_rate-{F}(V6,V8,V1), P_growth_rate-{F}(V9,V7,V1), P_growth_rate-{F}(V9,V8,V1), pppp4-{F}(V10,V7,V11,V6,V1,V9), pppp4-{F}(V10,V8,V12,V6,V1,V9) | pppp1-{T}(V1,V1,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #281: disj( #1, #5+#3+#14+#23 ), references = 9, size of lhs = 10:
% 8.85/9.02 in_environment-{F}(V0,V1), in_environment-{F}(V0,V2), V2 == V1, P_growth_rate-{F}(V3,V2,V4), P_growth_rate-{F}(V5,V2,V4), pppp2-{F}(V6,V1,V3,V5), subpopulations-{F}(V3,V5,V6,V2), P_growth_rate-{F}(V7,V8,V4), P_growth_rate-{F}(V9,V8,V4), pppp4-{F}(V10,V8,V11,V7,V4,V9) | greater-{T}(V1,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #303: disj( #1, #0+#5+#3+#14+#23 ), references = 9, size of lhs = 11:
% 8.85/9.02 in_environment-{F}(V0,V1), in_environment-{F}(V0,V2), V2 == V1, greater-{F}(V3,V2), P_growth_rate-{F}(V4,V3,V5), P_growth_rate-{F}(V6,V3,V5), pppp2-{F}(V7,V1,V4,V6), subpopulations-{F}(V4,V6,V7,V3), P_growth_rate-{F}(V8,V9,V5), P_growth_rate-{F}(V10,V9,V5), pppp4-{F}(V11,V9,V12,V8,V5,V10) | greater-{T}(V1,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #330: mergings( V1 == V6, V2 == V7, V6 == V8, V12 == V13; #324 ), references = 3, size of lhs = 24:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), P_zero-{F}(V4), pppp5-{F}(V0,V3,V4,V3), greater-{F}(V1,V4), environment-{F}(V5), P_equilibrium-{F}(V5,V4), subpopulations-{F}(V3,V3,V5,V6), V1 == V6, pppp2-{F}(V0,V6,V3,V3), in_environment-{F}(V7,V6), in_environment-{F}(V7,V1), P_growth_rate-{F}(V3,V6,V8), V8 == V4, P_growth_rate-{F}(V9,V10,V8), P_growth_rate-{F}(V9,V11,V8), P_growth_rate-{F}(V12,V10,V6), P_growth_rate-{F}(V12,V11,V6), pppp4-{F}(V13,V10,V14,V9,V4,V12), pppp4-{F}(V13,V11,V15,V9,V4,V12) | pppp4-{T}(V0,V1,V1,V3,V4,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #335: mergings( V1 == V6, V2 == V7, V6 == V8, V12 == V13; #325 ), references = 1, size of lhs = 24:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), P_zero-{F}(V4), pppp5-{F}(V0,V3,V4,V3), greater-{F}(V1,V4), environment-{F}(V5), P_equilibrium-{F}(V5,V4), subpopulations-{F}(V3,V3,V5,V6), V1 == V6, pppp2-{F}(V0,V6,V3,V3), in_environment-{F}(V7,V6), in_environment-{F}(V7,V1), P_growth_rate-{F}(V3,V6,V8), V8 == V4, P_growth_rate-{F}(V9,V10,V8), P_growth_rate-{F}(V9,V11,V8), P_growth_rate-{F}(V12,V10,V6), P_growth_rate-{F}(V12,V11,V6), pppp4-{F}(V13,V10,V14,V9,V4,V12), pppp4-{F}(V13,V11,V15,V9,V4,V12) | pppp4-{T}(V0,V1,V1,V3,V4,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #395: mergings( V1 == V6, V2 == V7, V8 == V22, V7 == V21, V22 == V18, V21 == V25, V18 == V24; #387 ), references = 1, size of lhs = 26:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), P_zero-{F}(V4), pppp5-{F}(V0,V3,V4,V3), environment-{F}(V5), P_equilibrium-{F}(V5,V6), greater-{F}(V1,V6), in_environment-{F}(V7,V1), in_environment-{F}(V7,V8), V1 == V8, pppp2-{F}(V0,V8,V3,V3), pppp4-{F}(V5,V9,V8,V3,V4,V3), V9 == V8, pppp4-{F}(V5,V9,V10,V3,V4,V3), pppp4-{F}(V5,V9,V11,V3,V4,V3), pppp4-{F}(V5,V9,V12,V3,V4,V3), pppp4-{F}(V5,V9,V13,V3,V4,V3), pppp4-{F}(V5,V9,V14,V3,V4,V3), pppp2-{F}(V5,V15,V3,V3), pppp4-{F}(V5,V9,V15,V3,V4,V3), pppp4-{F}(V5,V9,V16,V3,V4,V3), pppp4-{F}(V5,V9,V17,V3,V4,V3) | pppp4-{T}(V0,V1,V1,V3,V4,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #412: mergings( V6 == V1, V7 == V2, V10 == V12, V5 == V13, V8 == V0, V12 == V13; #405 ), references = 5, size of lhs = 16:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), pppp5-{F}(V2,V0,V1,V0), in_environment-{F}(V2,V3), in_environment-{F}(V4,V3), in_environment-{F}(V4,V5), V3 == V5, in_environment-{F}(V2,V5), pppp2-{F}(V2,V5,V0,V0), greater_or_equal-{F}(V3,V6), P_equilibrium-{F}(V2,V6), greater-{F}(V3,V6), in_environment-{F}(V7,V3), in_environment-{F}(V7,V5) | pppp4-{T}(V2,V5,V5,V0,V1,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #454: mergings( V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V0 == V6, V6 == V8, V1 == V7, V7 == V4, V2 == V8, V3 == V9; #441 ), references = 1, size of lhs = 11:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_zero-{F}(V1), P_equilibrium-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), pppp5-{F}(V0,V2,V1,V2), in_environment-{F}(V0,V3), V3 == V1, pppp2-{F}(V0,V3,V2,V2), P_growth_rate-{F}(V2,V3,V3) | pppp3-{T}(V0,V1,V1), pppp3-{T}(V0,V3,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #466: mergings( V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V0 == V6, V6 == V8, V1 == V7, V7 == V4, V2 == V8, V3 == V9; #442 ), references = 1, size of lhs = 11:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_zero-{F}(V1), P_equilibrium-{F}(V0,V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), pppp5-{F}(V0,V2,V1,V2), in_environment-{F}(V0,V3), V3 == V1, pppp2-{F}(V0,V3,V2,V2), P_growth_rate-{F}(V2,V3,V3) | pppp3-{T}(V0,V1,V1), pppp3-{T}(V0,V3,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #496: mergings( V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V0 == V4, V4 == V7, V7 == V15, V15 == V16, V1 == V5, V5 == V6, V6 == V17, V2 == V16, V14 == V23, V8 == V3; #475 ), references = 1, size of lhs = 11:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V1), P_first_movers-{F}(V2), P_efficient_producers-{F}(V2), pppp5-{F}(V0,V2,V1,V2), in_environment-{F}(V0,V3), V3 == V1, pppp2-{F}(V0,V3,V2,V2), P_growth_rate-{F}(V2,V3,V3) | pppp3-{T}(V0,V3,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #508: exists( #20, #506 ), references = 4, size of lhs = 9:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), pppp5-{F}(V2,V0,V1,V0), in_environment-{F}(V2,V3), pppp2-{F}(V2,V3,V0,V0), P_equilibrium-{F}(V2,V4), greater-{F}(V3,V4) | pppp4-{T}(V2,V3,V3,V0,V1,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #565: mergings( V1 == V6, V2 == V7, V8 == V19; #560 ), references = 3, size of lhs = 24:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), P_zero-{F}(V4), pppp5-{F}(V0,V3,V4,V3), environment-{F}(V5), P_equilibrium-{F}(V5,V6), greater-{F}(V1,V6), in_environment-{F}(V7,V1), in_environment-{F}(V7,V8), V1 == V8, pppp2-{F}(V0,V8,V3,V3), pppp4-{F}(V5,V8,V9,V3,V4,V3), pppp4-{F}(V5,V8,V10,V3,V4,V3), pppp4-{F}(V5,V8,V11,V3,V4,V3), pppp4-{F}(V5,V8,V12,V3,V4,V3), pppp4-{F}(V5,V8,V13,V3,V4,V3), greater_or_equal-{F}(V8,V14), pppp2-{F}(V15,V14,V3,V3), subpopulations-{F}(V3,V3,V15,V8), pppp4-{F}(V5,V8,V16,V3,V4,V3) | pppp4-{T}(V0,V1,V1,V3,V4,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #574: mergings( V1 == V6, V2 == V7, V7 == V10, V6 == V11, V11 == V24, V20 == V23, V23 == V22, V8 == V25; #561 ), references = 1, size of lhs = 29:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), environment-{F}(V4), P_equilibrium-{F}(V4,V5), greater-{F}(V1,V5), P_zero-{F}(V6), pppp5-{F}(V0,V3,V6,V3), environment-{F}(V7), P_equilibrium-{F}(V7,V5), subpopulations-{F}(V3,V3,V7,V8), V1 == V8, pppp2-{F}(V0,V8,V3,V3), in_environment-{F}(V9,V8), in_environment-{F}(V9,V1), pppp4-{F}(V4,V8,V10,V3,V6,V3), pppp4-{F}(V4,V8,V11,V3,V6,V3), pppp4-{F}(V4,V8,V12,V3,V6,V3), pppp4-{F}(V4,V8,V13,V3,V6,V3), pppp4-{F}(V4,V8,V14,V3,V6,V3), P_growth_rate-{F}(V3,V8,V15), V15 == V6, greater-{F}(V15,V6), P_growth_rate-{F}(V3,V16,V15), pppp4-{F}(V4,V16,V17,V3,V6,V3), pppp4-{F}(V4,V8,V18,V3,V6,V3) | pppp4-{T}(V0,V1,V1,V3,V6,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #651: mergings( V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V0 == V6, V1 == V7, V2 == V6, V8 == V9; #638 ), references = 1, size of lhs = 12:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), P_equilibrium-{F}(V0,V3), in_environment-{F}(V0,V4), greater_or_equal-{F}(V4,V4), pppp2-{F}(V0,V4,V1,V1), P_growth_rate-{F}(V1,V4,V5), V5 == V2 | pppp3-{T}(V0,V3,V3), pppp3-{T}(V0,V4,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #663: mergings( V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V0 == V6, V1 == V7, V2 == V6, V8 == V9; #639 ), references = 1, size of lhs = 12:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), P_equilibrium-{F}(V0,V3), in_environment-{F}(V0,V4), greater_or_equal-{F}(V4,V4), pppp2-{F}(V0,V4,V1,V1), P_growth_rate-{F}(V1,V4,V5), V5 == V2 | pppp3-{T}(V0,V3,V3), pppp3-{T}(V0,V4,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #689: mergings( V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V20 == V21, V0 == V4, V4 == V17, V16 == V21, V1 == V5, V5 == V18, V2 == V17, V7 == V8, V8 == V22, V3 == V19; #671 ), references = 1, size of lhs = 13:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), in_environment-{F}(V0,V3), greater_or_equal-{F}(V3,V3), pppp2-{F}(V0,V3,V1,V1), P_equilibrium-{F}(V0,V4), V3 == V4, P_growth_rate-{F}(V1,V3,V5), V5 == V2 | pppp3-{T}(V0,V4,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #724: mergings( V12 == V14, V13 == V15, V14 == V17, V15 == V18, V1 == V9, V2 == V10, V9 == V11, V17 == V18; #714 ), references = 1, size of lhs = 34:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V1), environment-{F}(V2), P_equilibrium-{F}(V2,V1), in_environment-{F}(V3,V1), in_environment-{F}(V3,V4), V1 == V4, environment-{F}(V5), P_equilibrium-{F}(V5,V1), P_first_movers-{F}(V6), pppp2-{F}(V0,V4,V6,V6), P_efficient_producers-{F}(V6), subpopulations-{F}(V6,V6,V2,V4), subpopulations-{F}(V6,V6,V5,V4), P_zero-{F}(V7), pppp5-{F}(V0,V6,V7,V6), environment-{F}(V8), P_equilibrium-{F}(V8,V1), subpopulations-{F}(V6,V6,V8,V4), P_growth_rate-{F}(V6,V4,V9), V9 == V7, P_growth_rate-{F}(V10,V11,V9), P_growth_rate-{F}(V10,V12,V9), P_growth_rate-{F}(V10,V13,V9), P_growth_rate-{F}(V10,V14,V9), P_growth_rate-{F}(V15,V11,V9), P_growth_rate-{F}(V15,V12,V9), P_growth_rate-{F}(V15,V13,V9), P_growth_rate-{F}(V15,V14,V9), pppp4-{F}(V16,V11,V17,V10,V7,V15), pppp4-{F}(V16,V12,V18,V10,V7,V15), pppp4-{F}(V16,V13,V19,V10,V7,V15), pppp4-{F}(V16,V14,V20,V10,V7,V15) | pppp4-{T}(V0,V1,V1,V6,V7,V6)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #733: mergings( V12 == V14, V13 == V15, V14 == V17, V15 == V18, V1 == V9, V2 == V10, V9 == V11, V17 == V18; #715 ), references = 1, size of lhs = 34:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V1), environment-{F}(V2), P_equilibrium-{F}(V2,V1), in_environment-{F}(V3,V1), in_environment-{F}(V3,V4), V1 == V4, environment-{F}(V5), P_equilibrium-{F}(V5,V1), P_first_movers-{F}(V6), pppp2-{F}(V0,V4,V6,V6), P_efficient_producers-{F}(V6), subpopulations-{F}(V6,V6,V2,V4), subpopulations-{F}(V6,V6,V5,V4), P_zero-{F}(V7), pppp5-{F}(V0,V6,V7,V6), environment-{F}(V8), P_equilibrium-{F}(V8,V1), subpopulations-{F}(V6,V6,V8,V4), P_growth_rate-{F}(V6,V4,V9), V9 == V7, P_growth_rate-{F}(V10,V11,V9), P_growth_rate-{F}(V10,V12,V9), P_growth_rate-{F}(V10,V13,V9), P_growth_rate-{F}(V10,V14,V9), P_growth_rate-{F}(V15,V11,V9), P_growth_rate-{F}(V15,V12,V9), P_growth_rate-{F}(V15,V13,V9), P_growth_rate-{F}(V15,V14,V9), pppp4-{F}(V16,V11,V17,V10,V7,V15), pppp4-{F}(V16,V12,V18,V10,V7,V15), pppp4-{F}(V16,V13,V19,V10,V7,V15), pppp4-{F}(V16,V14,V20,V10,V7,V15) | pppp4-{T}(V0,V1,V1,V6,V7,V6)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #768: mergings( V3 == V13, V13 == V0, V4 == V7, V7 == V9, V9 == V14, V14 == V15, V5 == V0, V8 == V1, V1 == V12, V10 == V6; #756 ), references = 2, size of lhs = 11:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_equilibrium-{F}(V0,V2), V2 == V1, P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), pppp2-{F}(V0,V1,V3,V3), P_zero-{F}(V4), pppp5-{F}(V0,V3,V4,V3) | P_growth_rate-{T}(V3,V1,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #779: mergings( V3 == V13, V13 == V0, V4 == V7, V7 == V9, V9 == V14, V14 == V15, V5 == V0, V8 == V1, V1 == V12, V10 == V6; #757 ), references = 1, size of lhs = 11:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), in_environment-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_equilibrium-{F}(V0,V2), V2 == V1, P_first_movers-{F}(V3), P_efficient_producers-{F}(V3), pppp2-{F}(V0,V1,V3,V3), P_zero-{F}(V4), pppp5-{F}(V0,V3,V4,V3) | P_growth_rate-{T}(V3,V1,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #798: mergings( V7 == V10, V10 == V11, V0 == V6, V1 == V11, V2 == V6, V8 == V9; #791 ), references = 1, size of lhs = 11:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), P_equilibrium-{F}(V0,V3), in_environment-{F}(V0,V4), greater_or_equal-{F}(V4,V4), pppp2-{F}(V0,V4,V1,V1), P_growth_rate-{F}(V1,V4,V2) | pppp3-{T}(V0,V3,V3), pppp3-{T}(V0,V4,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #816: mergings( V5 == V9, V9 == V10, V12 == V15, V15 == V16, V0 == V4, V4 == V11, V1 == V10, V10 == V16, V2 == V11, V7 == V8, V8 == V13, V13 == V14; #803 ), references = 2, size of lhs = 12:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), in_environment-{F}(V0,V3), greater_or_equal-{F}(V3,V3), pppp2-{F}(V0,V3,V1,V1), P_growth_rate-{F}(V1,V3,V2), P_equilibrium-{F}(V0,V4), V4 == V3 | pppp3-{T}(V0,V3,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #844: mergings( V0 == V11, V11 == V15, V15 == V13, V1 == V5, V5 == V12, V12 == V14, V14 == V16, V16 == V4, V2 == V17, V17 == V13, V8 == V7, V7 == V10, V19 == V10, V10 == V21, V21 == V23, V6 == V3, V3 == V18, V9 == V20, V18 == V22; #824 ), references = 1, size of lhs = 11:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), in_environment-{F}(V0,V3), greater_or_equal-{F}(V3,V3), pppp2-{F}(V0,V3,V1,V1), P_equilibrium-{F}(V0,V4), V3 == V4 | P_growth_rate-{T}(V1,V3,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #868: mergings( V1 == V5, V4 == V6; #865 ), references = 2, size of lhs = 7:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), P_equilibrium-{F}(V0,V3) | pppp2-{T}(V0,V3,V1,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #883: mergings( V0 == V6, V1 == V7, V2 == V6, V4 == V8, V8 == V9; #877 ), references = 1, size of lhs = 10:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), P_equilibrium-{F}(V0,V3), in_environment-{F}(V0,V3), greater_or_equal-{F}(V3,V3), pppp2-{F}(V0,V3,V1,V1) | pppp3-{T}(V0,V3,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #889: exists( #20, #887 ), references = 2, size of lhs = 8:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1), environment-{F}(V2), pppp5-{F}(V2,V0,V1,V0), in_environment-{F}(V2,V3), P_equilibrium-{F}(V2,V3), pppp2-{F}(V2,V3,V0,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #895: mergings( V0 == V4, V4 == V6, V5 == V2; #891 ), references = 1, size of lhs = 7:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1), P_equilibrium-{F}(V0,V3) | pppp2-{T}(V0,V3,V1,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #904: mergings( V2 == V4; #902 ), references = 1, size of lhs = 6:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V1), P_zero-{F}(V2), pppp5-{F}(V0,V1,V2,V1) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #908: exists( #19, #906 ), references = 1, size of lhs = 3:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), P_zero-{F}(V1) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #910: exists( #30, #907 ), references = 1, size of lhs = 2:
% 8.85/9.02 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #925: disj( #8, input, input ), references = 1, size of lhs = 14:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V2,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V0,V5,V6), P_growth_rate-{F}(V2,V5,V7), V7 == V1, greater-{F}(V8,V6), P_growth_rate-{F}(V9,V10,V1), P_growth_rate-{F}(V11,V10,V8), pppp4-{F}(V12,V10,V13,V9,V6,V11) | greater-{T}(V1,V6)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #946: mergings( V4 == V7, V3 == V13, V13 == V14, V15 == V17, V14 == V9, V7 == V10, V12 == V10, V5 == V17, V10 == V20, V17 == V19; #935 ), references = 2, size of lhs = 13:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), pppp2-{F}(V3,V5,V0,V2), P_growth_rate-{F}(V0,V6,V1), V6 == V5, pppp4-{F}(V3,V6,V5,V0,V1,V2), pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2) | P_growth_rate-{T}(V2,V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #973: mergings( V4 == V8, V8 == V12, V3 == V11, V11 == V9, V9 == V10, V18 == V20, V10 == V14, V12 == V15, V14 == V13, V20 == V30, V13 == V24, V15 == V25, V17 == V25, V6 == V30, V25 == V23, V30 == V22, V23 == V29, V22 == V26, V1 == V27, V29 == V33, V26 == V32; #951 ), references = 1, size of lhs = 17:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), in_environment-{F}(V5,V4), in_environment-{F}(V5,V6), V4 == V6, pppp2-{F}(V3,V6,V0,V2), P_growth_rate-{F}(V0,V7,V1), V7 == V6, pppp4-{F}(V3,V7,V6,V0,V1,V2), pppp4-{F}(V3,V7,V8,V0,V1,V2), pppp4-{F}(V3,V7,V9,V0,V1,V2), pppp4-{F}(V3,V7,V10,V0,V1,V2), pppp4-{F}(V3,V7,V11,V0,V1,V2), pppp4-{F}(V3,V7,V12,V0,V1,V2) | greater-{T}(V4,V6)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #988: mergings( V10 == V18, V12 == V19, V13 == V15; #983 ), references = 2, size of lhs = 18:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V2,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V0,V5,V6), P_growth_rate-{F}(V2,V5,V7), greater-{F}(V7,V8), greater-{F}(V9,V1), greater-{F}(V10,V1), P_growth_rate-{F}(V11,V12,V8), P_growth_rate-{F}(V11,V13,V6), P_growth_rate-{F}(V14,V12,V9), P_growth_rate-{F}(V14,V13,V10), pppp4-{F}(V15,V12,V16,V11,V1,V14), pppp4-{F}(V15,V13,V17,V11,V1,V14) | pppp1-{T}(V6,V1,V7)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1005: mergings( V7 == V9, V13 == V3, V4 == V14, V9 == V11, V5 == V15, V14 == V17, V11 == V10, V15 == V18; #995 ), references = 7, size of lhs = 14:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), greater_or_equal-{F}(V5,V6), pppp2-{F}(V3,V6,V0,V2), P_growth_rate-{F}(V2,V5,V7), V7 == V1, greater-{F}(V7,V1), pppp4-{F}(V3,V5,V8,V0,V1,V2), pppp4-{F}(V3,V5,V9,V0,V1,V2), pppp4-{F}(V3,V5,V10,V0,V1,V2) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1047: mergings( V1 == V12, V3 == V8, V8 == V14, V12 == V15, V4 == V17, V5 == V13, V17 == V19, V13 == V18; #1038 ), references = 1, size of lhs = 15:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V4,V1), greater-{F}(V4,V5), pppp2-{F}(V3,V5,V0,V2), P_growth_rate-{F}(V0,V6,V6), V6 == V4, pppp4-{F}(V3,V6,V4,V0,V1,V2), pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2) | P_growth_rate-{T}(V2,V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1115: mergings( V8 == V13, V3 == V12, V12 == V15, V13 == V16, V4 == V18, V5 == V14, V18 == V20, V14 == V19; #1106 ), references = 1, size of lhs = 15:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V4,V5), pppp2-{F}(V3,V5,V0,V2), pppp4-{F}(V3,V6,V4,V0,V1,V2), V6 == V4, pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), P_growth_rate-{F}(V0,V6,V10), greater-{F}(V10,V1), pppp4-{F}(V3,V6,V11,V0,V1,V2) | P_growth_rate-{T}(V2,V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1133: disj( #7, input, input ), references = 3, size of lhs = 14:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V2,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V0,V5,V6), V6 == V1, P_growth_rate-{F}(V2,V5,V7), greater-{F}(V8,V7), P_growth_rate-{F}(V9,V10,V1), P_growth_rate-{F}(V11,V10,V8), pppp4-{F}(V12,V10,V13,V9,V7,V11) | greater-{T}(V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1146: mergings( V0 == V8, V2 == V9; #1140 ), references = 2, size of lhs = 21:
% 8.85/9.02 environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V2,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_growth_rate-{F}(V2,V5,V6), P_growth_rate-{F}(V4,V5,V7), V7 == V3, environment-{F}(V8), P_equilibrium-{F}(V8,V9), greater_or_equal-{F}(V10,V9), greater_or_equal-{F}(V10,V11), pppp2-{F}(V8,V11,V2,V4), P_growth_rate-{F}(V4,V10,V12), V12 == V3, greater-{F}(V12,V6), pppp4-{F}(V8,V10,V13,V2,V3,V4), pppp4-{F}(V8,V10,V14,V2,V3,V4), pppp4-{F}(V8,V10,V15,V2,V3,V4) | greater-{T}(V7,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1149: mergings( V0 == V8, V2 == V9; #1142 ), references = 1, size of lhs = 21:
% 8.85/9.02 environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_first_movers-{F}(V2), P_zero-{F}(V3), P_efficient_producers-{F}(V4), subpopulations-{F}(V2,V4,V0,V5), greater_or_equal-{F}(V5,V1), P_growth_rate-{F}(V2,V5,V6), V6 == V3, P_growth_rate-{F}(V4,V5,V7), environment-{F}(V8), P_equilibrium-{F}(V8,V9), greater_or_equal-{F}(V10,V9), greater_or_equal-{F}(V10,V11), pppp2-{F}(V8,V11,V2,V4), P_growth_rate-{F}(V4,V10,V12), V12 == V3, greater-{F}(V12,V6), pppp4-{F}(V8,V10,V13,V2,V3,V4), pppp4-{F}(V8,V10,V14,V2,V3,V4), pppp4-{F}(V8,V10,V15,V2,V3,V4) | greater-{T}(V7,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1150: disj( #7, input, #0+#23 ), references = 1, size of lhs = 15:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V2,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V0,V5,V6), P_growth_rate-{F}(V2,V5,V7), V7 == V1, greater-{F}(V1,V8), greater-{F}(V9,V6), P_growth_rate-{F}(V10,V11,V8), P_growth_rate-{F}(V12,V11,V9), pppp4-{F}(V13,V11,V14,V10,V1,V12) | greater-{T}(V7,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1181: mergings( V12 == V19, V3 == V6, V6 == V8, V7 == V10, V8 == V20, V19 == V21, V9 == V23, V10 == V4, V23 == V25, V4 == V24; #1169 ), references = 8, size of lhs = 17:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V4,V5), pppp2-{F}(V3,V5,V0,V2), pppp4-{F}(V3,V6,V4,V0,V1,V2), V6 == V4, pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), pppp4-{F}(V3,V6,V12,V0,V1,V2), P_growth_rate-{F}(V0,V6,V13), pppp4-{F}(V3,V6,V14,V0,V1,V2) | P_growth_rate-{T}(V2,V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1193: mergings( V11 == V15, V3 == V6, V6 == V20, V15 == V9, V8 == V21, V20 == V16, V9 == V17, V7 == V19, V21 == V4, V19 == V24, V4 == V23; #1170 ), references = 1, size of lhs = 16:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V1,V5), greater-{F}(V4,V6), pppp2-{F}(V3,V6,V0,V2), P_growth_rate-{F}(V0,V7,V5), V7 == V4, pppp4-{F}(V3,V7,V4,V0,V1,V2), pppp4-{F}(V3,V7,V8,V0,V1,V2), pppp4-{F}(V3,V7,V9,V0,V1,V2), pppp4-{F}(V3,V7,V10,V0,V1,V2), pppp4-{F}(V3,V7,V11,V0,V1,V2), pppp4-{F}(V3,V7,V12,V0,V1,V2) | P_growth_rate-{T}(V2,V7,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1224: mergings( V3 == V15, V0 == V23, V23 == V28, V15 == V22, V4 == V16, V5 == V17, V6 == V18, V22 == V34, V16 == V33, V7 == V25, V33 == V26, V25 == V30, V26 == V31; #1210 ), references = 3, size of lhs = 25:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V4,V5), pppp2-{F}(V3,V5,V1,V0), P_growth_rate-{F}(V1,V6,V2), P_growth_rate-{F}(V0,V6,V7), greater-{F}(V7,V2), pppp4-{F}(V3,V6,V8,V1,V2,V0), P_growth_rate-{F}(V1,V9,V2), P_growth_rate-{F}(V0,V9,V10), greater-{F}(V10,V2), pppp4-{F}(V3,V9,V11,V1,V2,V0), pppp4-{F}(V3,V12,V4,V1,V2,V0), V12 == V4, pppp4-{F}(V3,V12,V13,V1,V2,V0), pppp4-{F}(V3,V12,V14,V1,V2,V0), pppp4-{F}(V3,V12,V15,V1,V2,V0), pppp4-{F}(V3,V12,V16,V1,V2,V0), pppp4-{F}(V3,V12,V17,V1,V2,V0), pppp4-{F}(V3,V12,V18,V1,V2,V0), pppp4-{F}(V3,V12,V19,V1,V2,V0), pppp4-{F}(V3,V12,V20,V1,V2,V0) | P_growth_rate-{T}(V1,V12,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1250: mergings( V1 == V9, V2 == V10, V3 == V11, V6 == V7, V7 == V8, V8 == V14, V9 == V22, V22 == V27, V27 == V19, V12 == V32, V11 == V24, V32 == V25, V24 == V29, V25 == V30; #1235 ), references = 1, size of lhs = 32:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V1), greater-{F}(V1,V2), V1 == V2, P_first_movers-{F}(V3), P_zero-{F}(V4), greater-{F}(V1,V4), greater-{F}(V4,V2), pppp5-{F}(V0,V3,V4,V5), P_efficient_producers-{F}(V5), pppp2-{F}(V0,V2,V3,V5), environment-{F}(V6), P_equilibrium-{F}(V6,V1), pppp2-{F}(V6,V2,V3,V5), in_environment-{F}(V7,V1), in_environment-{F}(V7,V2), pppp4-{F}(V6,V8,V2,V3,V4,V5), V8 == V2, P_growth_rate-{F}(V3,V8,V4), pppp4-{F}(V6,V8,V9,V3,V4,V5), pppp4-{F}(V6,V8,V10,V3,V4,V5), pppp4-{F}(V6,V8,V11,V3,V4,V5), P_growth_rate-{F}(V3,V12,V4), P_growth_rate-{F}(V5,V12,V13), greater-{F}(V13,V4), pppp4-{F}(V6,V12,V14,V3,V4,V5), P_growth_rate-{F}(V3,V15,V4), P_growth_rate-{F}(V5,V15,V16), greater-{F}(V16,V4), pppp4-{F}(V6,V15,V17,V3,V4,V5), pppp4-{F}(V6,V8,V18,V3,V4,V5) | pppp4-{T}(V0,V1,V1,V3,V4,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1274: mergings( V6 == V7, V7 == V12, V0 == V13, V5 == V18, V8 == V19, V9 == V20, V11 == V22, V14 == V28, V19 == V3, V4 == V20, V22 == V26; #1262 ), references = 7, size of lhs = 23:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), greater_or_equal-{F}(V6,V4), greater_or_equal-{F}(V6,V7), greater_or_equal-{F}(V5,V7), pppp2-{F}(V3,V7,V0,V2), P_growth_rate-{F}(V2,V6,V8), V8 == V1, P_growth_rate-{F}(V2,V5,V8), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), greater_or_equal-{F}(V12,V4), P_growth_rate-{F}(V2,V12,V8), greater_or_equal-{F}(V12,V7), pppp4-{F}(V3,V12,V13,V0,V1,V2), pppp4-{F}(V3,V12,V14,V0,V1,V2), pppp4-{F}(V3,V12,V15,V0,V1,V2), pppp4-{F}(V3,V5,V16,V0,V1,V2) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1284: mergings( V5 == V9, V6 == V14, V7 == V15, V8 == V16, V10 == V22, V14 == V3, V4 == V15, V16 == V20; #1275 ), references = 9, size of lhs = 15:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), pppp4-{F}(V3,V5,V6,V1,V2,V0), pppp4-{F}(V3,V5,V7,V1,V2,V0), pppp4-{F}(V3,V5,V8,V1,V2,V0), pppp4-{F}(V3,V5,V9,V1,V2,V0), pppp4-{F}(V3,V5,V10,V1,V2,V0), pppp4-{F}(V3,V5,V11,V1,V2,V0), greater_or_equal-{F}(V5,V12), pppp2-{F}(V3,V12,V1,V0), pppp4-{F}(V3,V5,V13,V1,V2,V0) | P_growth_rate-{T}(V0,V5,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1304: mergings( V7 == V8, V8 == V10, V0 == V15, V15 == V20, V14 == V10, V4 == V17, V5 == V18, V17 == V22, V18 == V23; #1294 ), references = 2, size of lhs = 18:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), greater_or_equal-{F}(V5,V6), pppp2-{F}(V3,V6,V0,V2), P_growth_rate-{F}(V2,V5,V7), pppp4-{F}(V3,V5,V8,V0,V7,V2), P_growth_rate-{F}(V0,V9,V1), P_growth_rate-{F}(V2,V9,V10), greater-{F}(V10,V7), pppp4-{F}(V3,V9,V11,V0,V7,V2), P_growth_rate-{F}(V0,V12,V1), P_growth_rate-{F}(V2,V12,V13), greater-{F}(V13,V7), pppp4-{F}(V3,V12,V14,V0,V7,V2) | P_growth_rate-{T}(V0,V5,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1356: mergings( V1 == V14, V2 == V15, V3 == V16, V6 == V13, V13 == V19, V0 == V17, V19 == V21; #1347 ), references = 1, size of lhs = 28:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_growth_rate-{F}(V0,V2,V1), P_growth_rate-{F}(V0,V3,V1), P_efficient_producers-{F}(V4), P_growth_rate-{F}(V4,V2,V5), greater-{F}(V5,V1), P_growth_rate-{F}(V4,V3,V6), greater-{F}(V6,V1), environment-{F}(V7), pppp5-{F}(V7,V0,V1,V4), in_environment-{F}(V7,V8), P_equilibrium-{F}(V7,V8), pppp4-{F}(V7,V2,V9,V0,V1,V4), pppp4-{F}(V7,V3,V10,V0,V1,V4), greater-{F}(V8,V11), V8 == V11, pppp2-{F}(V7,V11,V0,V4), in_environment-{F}(V12,V8), in_environment-{F}(V12,V11), greater-{F}(V13,V11), greater_or_equal-{F}(V13,V11), P_growth_rate-{F}(V4,V13,V14), V14 == V1, greater-{F}(V14,V1), pppp4-{F}(V7,V13,V15,V0,V1,V4), pppp4-{F}(V7,V13,V16,V0,V1,V4), pppp4-{F}(V7,V13,V17,V0,V1,V4) | pppp4-{T}(V7,V8,V8,V0,V1,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1364: mergings( V1 == V14, V2 == V15, V3 == V16, V6 == V13, V13 == V19, V0 == V17, V19 == V25; #1348 ), references = 1, size of lhs = 31:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_growth_rate-{F}(V0,V2,V1), P_growth_rate-{F}(V0,V3,V1), P_efficient_producers-{F}(V4), P_growth_rate-{F}(V4,V2,V5), greater-{F}(V5,V1), P_growth_rate-{F}(V4,V3,V6), greater-{F}(V6,V1), environment-{F}(V7), pppp5-{F}(V7,V0,V1,V4), in_environment-{F}(V7,V8), P_equilibrium-{F}(V7,V8), pppp4-{F}(V7,V2,V9,V0,V1,V4), pppp4-{F}(V7,V3,V10,V0,V1,V4), greater-{F}(V8,V11), V8 == V11, pppp2-{F}(V7,V11,V0,V4), in_environment-{F}(V12,V8), in_environment-{F}(V12,V11), greater-{F}(V13,V11), greater_or_equal-{F}(V13,V11), pppp4-{F}(V7,V13,V14,V0,V1,V4), pppp4-{F}(V7,V13,V15,V0,V1,V4), pppp4-{F}(V7,V13,V16,V0,V1,V4), P_growth_rate-{F}(V4,V13,V17), V17 == V1, pppp4-{F}(V7,V13,V18,V0,V1,V4), pppp4-{F}(V7,V13,V19,V0,V1,V4), pppp4-{F}(V7,V13,V20,V0,V1,V4), pppp4-{F}(V7,V13,V21,V0,V1,V4) | pppp4-{T}(V7,V8,V8,V0,V1,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1396: mergings( V10 == V17, V17 == V27, V3 == V13, V5 == V11, V11 == V21, V6 == V7, V7 == V9, V9 == V12, V12 == V22, V22 == V25, V13 == V26, V4 == V18, V26 == V31, V18 == V32, V31 == V29, V27 == V30, V30 == V35, V32 == V28, V35 == V37, V28 == V36; #1375 ), references = 1, size of lhs = 26:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V4,V4), greater-{F}(V4,V5), V4 == V5, greater_or_equal-{F}(V4,V5), pppp2-{F}(V3,V5,V1,V0), in_environment-{F}(V6,V4), in_environment-{F}(V6,V5), P_growth_rate-{F}(V1,V7,V2), V7 == V5, pppp4-{F}(V3,V7,V5,V1,V2,V0), pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0) | P_growth_rate-{T}(V0,V7,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1411: mergings( V3 == V0, V4 == V20, V5 == V17, V12 == V18, V6 == V19; #1405 ), references = 3, size of lhs = 17:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), pppp2-{F}(V3,V5,V0,V2), greater_or_equal-{F}(V6,V4), pppp4-{F}(V3,V6,V5,V0,V1,V2), pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), pppp4-{F}(V3,V6,V12,V0,V1,V2), pppp4-{F}(V3,V6,V13,V0,V1,V2), P_growth_rate-{F}(V2,V6,V14), V14 == V1 | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1416: mergings( V3 == V16, V4 == V17, V5 == V15; #1412 ), references = 2, size of lhs = 15:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), pppp2-{F}(V3,V5,V0,V2), greater_or_equal-{F}(V6,V4), pppp4-{F}(V3,V6,V5,V0,V1,V2), pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), pppp4-{F}(V3,V6,V12,V0,V1,V2), pppp4-{F}(V3,V6,V13,V0,V1,V2) | P_growth_rate-{T}(V2,V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1422: mergings( V11 == V17, V5 == V1, V12 == V18, V8 == V14; #1417 ), references = 1, size of lhs = 17:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V2,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V2,V5,V1), P_growth_rate-{F}(V0,V5,V6), greater-{F}(V1,V7), greater-{F}(V1,V8), P_growth_rate-{F}(V9,V10,V7), P_growth_rate-{F}(V9,V11,V8), P_growth_rate-{F}(V12,V10,V1), P_growth_rate-{F}(V12,V11,V1), pppp4-{F}(V13,V10,V14,V9,V1,V12), pppp4-{F}(V13,V11,V15,V9,V1,V12) | pppp1-{T}(V6,V1,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1433: mergings( V3 == V7, V10 == V7, V4 == V11, V5 == V12, V11 == V14, V12 == V15; #1426 ), references = 9, size of lhs = 12:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V2,V5,V1), greater_or_equal-{F}(V5,V6), pppp2-{F}(V3,V6,V0,V2), pppp4-{F}(V3,V5,V7,V0,V1,V2), pppp4-{F}(V3,V5,V8,V0,V1,V2), pppp4-{F}(V3,V5,V9,V0,V1,V2) | P_growth_rate-{T}(V0,V5,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1452: mergings( V4 == V8, V8 == V13, V5 == V12, V16 == V13, V13 == V22, V6 == V14, V12 == V9, V14 == V17, V9 == V10, V17 == V19, V10 == V11, V19 == V23; #1439 ), references = 3, size of lhs = 16:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V2,V5,V1), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), V5 == V7, pppp2-{F}(V3,V7,V0,V2), pppp4-{F}(V3,V5,V8,V0,V1,V2), pppp4-{F}(V3,V5,V9,V0,V1,V2), pppp4-{F}(V3,V5,V10,V0,V1,V2), pppp4-{F}(V3,V5,V11,V0,V1,V2), pppp4-{F}(V3,V5,V12,V0,V1,V2) | greater-{T}(V7,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1473: mergings( V3 == V13, V4 == V12, V13 == V16, V5 == V14, V16 == V22, V12 == V11, V14 == V17, V11 == V19, V22 == V20, V17 == V21; #1462 ), references = 10, size of lhs = 14:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V2,V5,V1), pppp4-{F}(V3,V5,V6,V0,V1,V2), pppp4-{F}(V3,V5,V7,V0,V1,V2), pppp4-{F}(V3,V5,V8,V0,V1,V2), pppp2-{F}(V3,V9,V0,V2), pppp4-{F}(V3,V5,V9,V0,V1,V2), pppp4-{F}(V3,V5,V10,V0,V1,V2), pppp4-{F}(V3,V5,V11,V0,V1,V2) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1487: mergings( V4 == V18, V3 == V17, V14 == V18, V17 == V20, V6 == V23, V18 == V22, V23 == V19, V1 == V16; #1478 ), references = 1, size of lhs = 22:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), in_environment-{F}(V5,V4), in_environment-{F}(V5,V6), V4 == V6, pppp2-{F}(V3,V6,V0,V2), pppp4-{F}(V3,V7,V4,V0,V1,V2), V7 == V4, greater_or_equal-{F}(V7,V6), P_growth_rate-{F}(V0,V7,V1), pppp4-{F}(V3,V7,V8,V0,V1,V2), pppp4-{F}(V3,V7,V9,V0,V1,V2), pppp4-{F}(V3,V7,V10,V0,V1,V2), pppp4-{F}(V3,V7,V11,V0,V1,V2), pppp4-{F}(V3,V7,V12,V0,V1,V2), pppp4-{F}(V3,V7,V13,V0,V1,V2), pppp4-{F}(V3,V7,V14,V0,V1,V2), pppp4-{F}(V3,V7,V15,V0,V1,V2), pppp4-{F}(V3,V7,V16,V0,V1,V2) | greater-{T}(V6,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1498: disj( #1, #0+#5+#3+#1274 ), references = 1, size of lhs = 20:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), greater-{F}(V5,V6), in_environment-{F}(V7,V6), in_environment-{F}(V7,V8), V6 == V8, pppp2-{F}(V3,V8,V0,V2), pppp4-{F}(V3,V5,V9,V0,V1,V2), pppp4-{F}(V3,V5,V10,V0,V1,V2), pppp4-{F}(V3,V5,V11,V0,V1,V2), P_growth_rate-{F}(V2,V5,V12), V12 == V1, pppp4-{F}(V3,V5,V13,V0,V1,V2), pppp4-{F}(V3,V5,V14,V0,V1,V2), pppp4-{F}(V3,V5,V15,V0,V1,V2), pppp4-{F}(V3,V5,V16,V0,V1,V2) | greater-{T}(V8,V6)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1517: mergings( V3 == V15, V4 == V18, V5 == V17; #1512 ), references = 4, size of lhs = 17:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), pppp2-{F}(V3,V5,V0,V2), pppp4-{F}(V3,V6,V5,V0,V1,V2), V6 == V5, pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), pppp4-{F}(V3,V6,V12,V0,V1,V2), pppp4-{F}(V3,V6,V13,V0,V1,V2), P_growth_rate-{F}(V0,V6,V14) | P_growth_rate-{T}(V2,V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1521: mergings( V3 == V16, V4 == V19, V5 == V18; #1513 ), references = 2, size of lhs = 18:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), pppp2-{F}(V3,V5,V0,V2), pppp4-{F}(V3,V6,V5,V0,V1,V2), greater-{F}(V7,V4), V6 == V7, pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), pppp4-{F}(V3,V6,V12,V0,V1,V2), pppp4-{F}(V3,V6,V13,V0,V1,V2), pppp4-{F}(V3,V6,V14,V0,V1,V2), P_growth_rate-{F}(V0,V6,V15) | P_growth_rate-{T}(V2,V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1534: mergings( V5 == V19, V3 == V18, V19 == V15, V7 == V16, V18 == V22, V15 == V21; #1527 ), references = 1, size of lhs = 19:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), greater-{F}(V1,V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), pppp2-{F}(V3,V5,V0,V2), pppp4-{F}(V3,V6,V5,V0,V1,V2), V6 == V5, pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), pppp4-{F}(V3,V6,V12,V0,V1,V2), pppp4-{F}(V3,V6,V13,V0,V1,V2), pppp4-{F}(V3,V6,V14,V0,V1,V2), pppp4-{F}(V3,V6,V15,V0,V1,V2) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1549: mergings( V0 == V28, V2 == V29, V7 == V28, V8 == V29, V9 == V24, V28 == V34, V1 == V23, V24 == V20, V11 == V21, V23 == V27, V20 == V26, V29 == V37, V26 == V38; #1535 ), references = 1, size of lhs = 37:
% 8.85/9.02 environment-{F}(V0), P_equilibrium-{F}(V0,V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), P_first_movers-{F}(V6), P_efficient_producers-{F}(V7), pppp2-{F}(V3,V5,V6,V7), subpopulations-{F}(V6,V7,V0,V8), greater_or_equal-{F}(V8,V1), P_growth_rate-{F}(V6,V8,V2), P_growth_rate-{F}(V7,V8,V9), V9 == V2, environment-{F}(V10), P_equilibrium-{F}(V10,V11), subpopulations-{F}(V6,V7,V10,V12), greater_or_equal-{F}(V12,V11), P_growth_rate-{F}(V7,V12,V9), P_growth_rate-{F}(V6,V12,V13), pppp4-{F}(V3,V14,V5,V6,V2,V7), V14 == V5, pppp4-{F}(V3,V14,V15,V6,V2,V7), pppp4-{F}(V3,V14,V16,V6,V2,V7), pppp4-{F}(V3,V14,V17,V6,V2,V7), pppp4-{F}(V3,V14,V18,V6,V2,V7), pppp4-{F}(V3,V14,V19,V6,V2,V7), pppp4-{F}(V3,V14,V20,V6,V2,V7), pppp4-{F}(V3,V14,V21,V6,V2,V7), pppp4-{F}(V3,V14,V22,V6,V2,V7), pppp4-{F}(V3,V14,V23,V6,V2,V7), P_growth_rate-{F}(V6,V24,V2), P_growth_rate-{F}(V7,V24,V9), P_growth_rate-{F}(V6,V25,V13), P_growth_rate-{F}(V7,V25,V9), pppp4-{F}(V3,V24,V26,V6,V2,V7), pppp4-{F}(V3,V25,V27,V6,V2,V7) | pppp1-{T}(V2,V2,V9)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1565: mergings( V0 == V7, V3 == V16, V4 == V17, V5 == V21, V8 == V25, V16 == V24; #1558 ), references = 1, size of lhs = 22:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V4,V5), pppp2-{F}(V3,V5,V1,V0), pppp4-{F}(V3,V6,V5,V1,V2,V0), V6 == V4, pppp4-{F}(V3,V6,V4,V1,V2,V0), pppp4-{F}(V3,V6,V7,V1,V2,V0), pppp4-{F}(V3,V6,V8,V1,V2,V0), pppp4-{F}(V3,V6,V9,V1,V2,V0), pppp4-{F}(V3,V6,V10,V1,V2,V0), pppp4-{F}(V3,V6,V11,V1,V2,V0), pppp4-{F}(V3,V6,V12,V1,V2,V0), pppp4-{F}(V3,V6,V13,V1,V2,V0), pppp4-{F}(V3,V6,V14,V1,V2,V0), pppp4-{F}(V3,V6,V15,V1,V2,V0), pppp4-{F}(V3,V6,V16,V1,V2,V0), pppp4-{F}(V3,V6,V17,V1,V2,V0), pppp4-{F}(V3,V6,V18,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1573: mergings( V3 == V6, V4 == V16, V2 == V17, V1 == V21, V7 == V25, V16 == V24; #1566 ), references = 1, size of lhs = 24:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), in_environment-{F}(V5,V4), in_environment-{F}(V5,V6), V4 == V6, pppp2-{F}(V3,V6,V1,V0), pppp4-{F}(V3,V7,V6,V1,V2,V0), V7 == V4, pppp4-{F}(V3,V7,V4,V1,V2,V0), pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0), pppp4-{F}(V3,V7,V17,V1,V2,V0), pppp4-{F}(V3,V7,V18,V1,V2,V0), pppp4-{F}(V3,V7,V19,V1,V2,V0) | greater-{T}(V6,V4)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1583: mergings( V0 == V7, V3 == V16, V4 == V17, V5 == V21, V8 == V25, V16 == V24; #1576 ), references = 1, size of lhs = 22:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), pppp2-{F}(V3,V5,V1,V0), pppp4-{F}(V3,V6,V5,V1,V2,V0), V6 == V5, pppp4-{F}(V3,V6,V4,V1,V2,V0), pppp4-{F}(V3,V6,V7,V1,V2,V0), pppp4-{F}(V3,V6,V8,V1,V2,V0), pppp4-{F}(V3,V6,V9,V1,V2,V0), pppp4-{F}(V3,V6,V10,V1,V2,V0), pppp4-{F}(V3,V6,V11,V1,V2,V0), pppp4-{F}(V3,V6,V12,V1,V2,V0), pppp4-{F}(V3,V6,V13,V1,V2,V0), pppp4-{F}(V3,V6,V14,V1,V2,V0), pppp4-{F}(V3,V6,V15,V1,V2,V0), pppp4-{F}(V3,V6,V16,V1,V2,V0), pppp4-{F}(V3,V6,V17,V1,V2,V0), pppp4-{F}(V3,V6,V18,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1607: mergings( V0 == V7, V3 == V16, V4 == V17, V5 == V22, V8 == V26, V16 == V25; #1600 ), references = 9, size of lhs = 24:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), pppp2-{F}(V3,V5,V1,V0), greater-{F}(V6,V4), pppp4-{F}(V3,V7,V5,V1,V2,V0), V7 == V5, V7 == V6, pppp4-{F}(V3,V7,V6,V1,V2,V0), pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0), pppp4-{F}(V3,V7,V17,V1,V2,V0), pppp4-{F}(V3,V7,V18,V1,V2,V0), pppp4-{F}(V3,V7,V19,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1614: mergings( V3 == V6, V4 == V16, V1 == V20, V7 == V24, V16 == V23; #1608 ), references = 1, size of lhs = 23:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), in_environment-{F}(V5,V4), in_environment-{F}(V5,V6), V4 == V6, pppp2-{F}(V3,V6,V1,V0), pppp4-{F}(V3,V7,V6,V1,V2,V0), V7 == V6, pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0), pppp4-{F}(V3,V7,V17,V1,V2,V0), pppp4-{F}(V3,V7,V18,V1,V2,V0), pppp4-{F}(V3,V7,V19,V1,V2,V0) | greater-{T}(V4,V6)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1641: mergings( V3 == V15, V4 == V16, V5 == V17, V15 == V24, V7 == V23, V24 == V21, V23 == V27, V21 == V26; #1632 ), references = 1, size of lhs = 21:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V4,V5), pppp2-{F}(V3,V5,V1,V0), pppp4-{F}(V3,V6,V4,V1,V2,V0), V6 == V4, pppp4-{F}(V3,V6,V7,V1,V2,V0), pppp4-{F}(V3,V6,V8,V1,V2,V0), pppp4-{F}(V3,V6,V9,V1,V2,V0), pppp4-{F}(V3,V6,V10,V1,V2,V0), pppp4-{F}(V3,V6,V11,V1,V2,V0), pppp4-{F}(V3,V6,V12,V1,V2,V0), pppp4-{F}(V3,V6,V13,V1,V2,V0), pppp4-{F}(V3,V6,V14,V1,V2,V0), pppp4-{F}(V3,V6,V15,V1,V2,V0), pppp4-{F}(V3,V6,V16,V1,V2,V0), pppp4-{F}(V3,V6,V17,V1,V2,V0), pppp4-{F}(V3,V6,V18,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1644: mergings( V6 == V7; #1642 ), references = 2, size of lhs = 9:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), P_equilibrium-{F}(V3,V4), greater-{F}(V4,V5), pppp2-{F}(V3,V5,V1,V0) | pppp4-{T}(V3,V4,V4,V1,V2,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1658: mergings( V8 == V1, V9 == V2, V10 == V3, V6 == V12, V12 == V13, V11 == V0; #1651 ), references = 2, size of lhs = 15:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), greater_or_equal-{F}(V4,V4), P_equilibrium-{F}(V3,V4), in_environment-{F}(V5,V4), in_environment-{F}(V5,V6), V4 == V6, in_environment-{F}(V3,V6), pppp2-{F}(V3,V6,V1,V0), in_environment-{F}(V7,V4), in_environment-{F}(V7,V6) | pppp4-{T}(V3,V6,V6,V1,V2,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1666: mergings( V3 == V7, V4 == V16, V5 == V20; #1662 ), references = 2, size of lhs = 23:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), in_environment-{F}(V5,V4), in_environment-{F}(V5,V6), V4 == V6, greater_or_equal-{F}(V6,V7), pppp2-{F}(V3,V7,V1,V0), pppp4-{F}(V3,V6,V7,V1,V2,V0), pppp4-{F}(V3,V6,V8,V1,V2,V0), pppp4-{F}(V3,V6,V9,V1,V2,V0), pppp4-{F}(V3,V6,V10,V1,V2,V0), pppp4-{F}(V3,V6,V11,V1,V2,V0), pppp4-{F}(V3,V6,V12,V1,V2,V0), pppp4-{F}(V3,V6,V13,V1,V2,V0), pppp4-{F}(V3,V6,V14,V1,V2,V0), pppp4-{F}(V3,V6,V15,V1,V2,V0), pppp4-{F}(V3,V6,V16,V1,V2,V0), pppp4-{F}(V3,V6,V17,V1,V2,V0), pppp4-{F}(V3,V6,V18,V1,V2,V0), pppp4-{F}(V3,V6,V19,V1,V2,V0) | greater-{T}(V4,V6)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1678: exists( #20, #1607 ), references = 2, size of lhs = 9:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), pppp2-{F}(V3,V4,V1,V0), P_equilibrium-{F}(V3,V5), greater-{F}(V4,V5) | pppp4-{T}(V3,V4,V4,V1,V2,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1740: mergings( V14 == V15, V4 == V13, V3 == V15, V0 == V19, V15 == V18, V5 == V12, V18 == V27, V13 == V21, V12 == V22, V21 == V24, V27 == V25, V22 == V26; #1727 ), references = 3, size of lhs = 19:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V2,V5,V1), pppp4-{F}(V3,V5,V6,V0,V1,V2), pppp4-{F}(V3,V5,V7,V0,V1,V2), pppp4-{F}(V3,V5,V8,V0,V1,V2), pppp4-{F}(V3,V5,V9,V0,V1,V2), P_growth_rate-{F}(V0,V10,V1), P_growth_rate-{F}(V2,V10,V11), greater-{F}(V11,V1), pppp4-{F}(V3,V10,V12,V0,V1,V2), pppp4-{F}(V3,V5,V13,V0,V1,V2), V5 == V13, greater-{F}(V13,V14), pppp2-{F}(V3,V14,V0,V2) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1750: mergings( V4 == V22, V5 == V25, V3 == V0, V6 == V24; #1745 ), references = 1, size of lhs = 24:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), pppp2-{F}(V3,V5,V1,V0), greater-{F}(V6,V4), V5 == V6, pppp4-{F}(V3,V5,V6,V1,V2,V0), pppp4-{F}(V3,V7,V5,V1,V2,V0), V7 == V5, pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0), pppp4-{F}(V3,V7,V17,V1,V2,V0), pppp4-{F}(V3,V7,V18,V1,V2,V0), pppp4-{F}(V3,V7,V19,V1,V2,V0), P_growth_rate-{F}(V1,V5,V20) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1773: mergings( V3 == V16, V4 == V19, V5 == V18; #1769 ), references = 5, size of lhs = 18:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), greater-{F}(V5,V6), pppp2-{F}(V3,V6,V0,V2), pppp4-{F}(V3,V7,V5,V0,V1,V2), V7 == V5, pppp4-{F}(V3,V7,V8,V0,V1,V2), pppp4-{F}(V3,V7,V9,V0,V1,V2), pppp4-{F}(V3,V7,V10,V0,V1,V2), pppp4-{F}(V3,V7,V11,V0,V1,V2), pppp4-{F}(V3,V7,V12,V0,V1,V2), pppp4-{F}(V3,V7,V13,V0,V1,V2), pppp4-{F}(V3,V7,V14,V0,V1,V2), P_growth_rate-{F}(V0,V7,V15) | P_growth_rate-{T}(V2,V7,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1795: mergings( V0 == V8, V3 == V17, V4 == V18, V6 == V28, V9 == V30, V17 == V29; #1788 ), references = 2, size of lhs = 31:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), greater-{F}(V5,V6), pppp2-{F}(V3,V6,V1,V0), pppp4-{F}(V3,V7,V5,V1,V2,V0), V7 == V5, pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), greater-{F}(V15,V4), V7 == V15, pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0), pppp4-{F}(V3,V7,V17,V1,V2,V0), pppp4-{F}(V3,V7,V18,V1,V2,V0), pppp4-{F}(V3,V7,V19,V1,V2,V0), P_growth_rate-{F}(V1,V20,V2), P_growth_rate-{F}(V0,V20,V21), greater-{F}(V21,V2), pppp4-{F}(V3,V20,V22,V1,V2,V0), pppp4-{F}(V3,V7,V23,V1,V2,V0), V7 == V23, greater-{F}(V23,V6) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1799: mergings( V6 == V8, V7 == V12; #1796 ), references = 1, size of lhs = 14:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), P_equilibrium-{F}(V3,V5), greater-{F}(V4,V5), P_growth_rate-{F}(V1,V6,V2), P_growth_rate-{F}(V0,V6,V7), greater-{F}(V7,V2), pppp4-{F}(V3,V6,V8,V1,V2,V0), greater-{F}(V4,V9), pppp2-{F}(V3,V9,V1,V0) | pppp4-{T}(V3,V4,V4,V1,V2,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1815: disj( #1, mergings( V0 == V8, V3 == V17, V4 == V18, V6 == V28, V9 == V30, V17 == V29; #1788 ) ), references = 1, size of lhs = 30:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), pppp4-{F}(V3,V6,V5,V1,V2,V0), V6 == V5, pppp4-{F}(V3,V6,V7,V1,V2,V0), pppp4-{F}(V3,V6,V8,V1,V2,V0), pppp4-{F}(V3,V6,V9,V1,V2,V0), pppp4-{F}(V3,V6,V10,V1,V2,V0), pppp4-{F}(V3,V6,V11,V1,V2,V0), pppp4-{F}(V3,V6,V12,V1,V2,V0), pppp4-{F}(V3,V6,V13,V1,V2,V0), pppp4-{F}(V3,V6,V14,V1,V2,V0), pppp4-{F}(V3,V6,V15,V1,V2,V0), pppp4-{F}(V3,V6,V16,V1,V2,V0), pppp4-{F}(V3,V6,V17,V1,V2,V0), P_growth_rate-{F}(V1,V18,V2), P_growth_rate-{F}(V0,V18,V19), greater-{F}(V19,V2), pppp4-{F}(V3,V18,V20,V1,V2,V0), greater-{F}(V21,V4), V6 == V21, pppp4-{F}(V3,V6,V21,V1,V2,V0), in_environment-{F}(V22,V21), in_environment-{F}(V22,V23), V21 == V23, pppp2-{F}(V3,V23,V1,V0) | greater-{T}(V23,V21)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1824: mergings( V1 == V11, V2 == V12, V3 == V10, V0 == V13, V6 == V14; #1818 ), references = 1, size of lhs = 30:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), P_growth_rate-{F}(V1,V3,V2), P_growth_rate-{F}(V0,V3,V4), greater-{F}(V4,V2), environment-{F}(V5), pppp5-{F}(V5,V1,V2,V0), in_environment-{F}(V5,V6), pppp4-{F}(V5,V3,V7,V1,V2,V0), P_equilibrium-{F}(V5,V8), greater-{F}(V6,V8), in_environment-{F}(V9,V6), in_environment-{F}(V9,V10), V6 == V10, pppp2-{F}(V5,V10,V1,V0), pppp4-{F}(V5,V11,V10,V1,V2,V0), V11 == V10, pppp4-{F}(V5,V11,V12,V1,V2,V0), pppp4-{F}(V5,V11,V13,V1,V2,V0), pppp4-{F}(V5,V11,V14,V1,V2,V0), pppp4-{F}(V5,V11,V15,V1,V2,V0), pppp4-{F}(V5,V11,V16,V1,V2,V0), pppp4-{F}(V5,V11,V17,V1,V2,V0), pppp4-{F}(V5,V11,V18,V1,V2,V0), pppp4-{F}(V5,V11,V19,V1,V2,V0), pppp4-{F}(V5,V11,V20,V1,V2,V0), pppp4-{F}(V5,V11,V21,V1,V2,V0), pppp4-{F}(V5,V11,V22,V1,V2,V0), pppp4-{F}(V5,V11,V23,V1,V2,V0) | pppp4-{T}(V5,V6,V6,V1,V2,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1840: mergings( V3 == V6, V6 == V12, V7 == V13, V8 == V11, V4 == V9, V5 == V10, V1 == V24, V9 == V14, V10 == V15; #1830 ), references = 3, size of lhs = 39:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater_or_equal-{F}(V5,V4), greater-{F}(V5,V4), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), V5 == V7, pppp2-{F}(V3,V7,V1,V0), pppp4-{F}(V3,V5,V8,V1,V2,V0), pppp4-{F}(V3,V5,V9,V1,V2,V0), pppp4-{F}(V3,V5,V10,V1,V2,V0), pppp4-{F}(V3,V5,V11,V1,V2,V0), pppp4-{F}(V3,V5,V12,V1,V2,V0), pppp4-{F}(V3,V5,V13,V1,V2,V0), pppp4-{F}(V3,V5,V14,V1,V2,V0), in_environment-{F}(V15,V5), in_environment-{F}(V15,V7), pppp4-{F}(V3,V5,V16,V1,V2,V0), pppp4-{F}(V3,V5,V17,V1,V2,V0), pppp4-{F}(V3,V5,V18,V1,V2,V0), pppp4-{F}(V3,V5,V19,V1,V2,V0), pppp4-{F}(V3,V5,V20,V1,V2,V0), pppp4-{F}(V3,V21,V7,V1,V2,V0), V21 == V7, pppp4-{F}(V3,V21,V22,V1,V2,V0), pppp4-{F}(V3,V21,V23,V1,V2,V0), pppp4-{F}(V3,V21,V24,V1,V2,V0), pppp4-{F}(V3,V21,V25,V1,V2,V0), pppp4-{F}(V3,V21,V26,V1,V2,V0), pppp4-{F}(V3,V21,V27,V1,V2,V0), pppp4-{F}(V3,V21,V28,V1,V2,V0), pppp4-{F}(V3,V21,V29,V1,V2,V0), pppp4-{F}(V3,V21,V30,V1,V2,V0), pppp4-{F}(V3,V21,V31,V1,V2,V0), pppp4-{F}(V3,V21,V32,V1,V2,V0), pppp4-{F}(V3,V21,V33,V1,V2,V0) | greater-{T}(V7,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1879: mergings( V9 == V72, V4 == V8, V8 == V32, V32 == V37, V5 == V72, V72 == V33, V33 == V38, V3 == V0, V0 == V31, V31 == V36, V12 == V29, V29 == V30, V15 == V42, V42 == V44, V37 == V71, V10 == V6, V7 == V30, V6 == V34, V30 == V35, V16 == V45, V34 == V39, V35 == V40, V45 == V58, V71 == V73, V38 == V74, V74 == V78, V39 == V75, V44 == V76, V78 == V80, V75 == V79, V58 == V1; #1847 ), references = 1, size of lhs = 58:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), in_environment-{F}(V5,V4), in_environment-{F}(V5,V6), V4 == V6, pppp2-{F}(V3,V6,V1,V0), greater_or_equal-{F}(V4,V7), P_equilibrium-{F}(V3,V7), greater-{F}(V4,V7), in_environment-{F}(V8,V4), in_environment-{F}(V8,V6), in_environment-{F}(V9,V4), in_environment-{F}(V9,V6), P_growth_rate-{F}(V1,V10,V2), V10 == V6, pppp4-{F}(V3,V10,V6,V1,V2,V0), pppp4-{F}(V3,V10,V11,V1,V2,V0), pppp4-{F}(V3,V10,V12,V1,V2,V0), pppp4-{F}(V3,V10,V13,V1,V2,V0), pppp4-{F}(V3,V10,V14,V1,V2,V0), pppp4-{F}(V3,V10,V15,V1,V2,V0), pppp4-{F}(V3,V10,V16,V1,V2,V0), pppp4-{F}(V3,V10,V17,V1,V2,V0), pppp4-{F}(V3,V10,V18,V1,V2,V0), pppp4-{F}(V3,V10,V19,V1,V2,V0), pppp4-{F}(V3,V10,V20,V1,V2,V0), pppp4-{F}(V3,V10,V21,V1,V2,V0), pppp4-{F}(V3,V10,V22,V1,V2,V0), pppp4-{F}(V3,V10,V23,V1,V2,V0), pppp4-{F}(V3,V10,V24,V1,V2,V0), pppp4-{F}(V3,V10,V25,V1,V2,V0), pppp4-{F}(V3,V10,V26,V1,V2,V0), pppp4-{F}(V3,V10,V27,V1,V2,V0), pppp4-{F}(V3,V10,V28,V1,V2,V0), pppp4-{F}(V3,V10,V29,V1,V2,V0), pppp4-{F}(V3,V10,V30,V1,V2,V0), pppp4-{F}(V3,V10,V31,V1,V2,V0), pppp4-{F}(V3,V10,V32,V1,V2,V0), pppp4-{F}(V3,V10,V33,V1,V2,V0), pppp4-{F}(V3,V10,V34,V1,V2,V0), pppp4-{F}(V3,V10,V35,V1,V2,V0), pppp4-{F}(V3,V10,V36,V1,V2,V0), pppp4-{F}(V3,V10,V37,V1,V2,V0), pppp4-{F}(V3,V10,V38,V1,V2,V0), pppp4-{F}(V3,V10,V39,V1,V2,V0), pppp4-{F}(V3,V10,V40,V1,V2,V0), pppp4-{F}(V3,V10,V41,V1,V2,V0), pppp4-{F}(V3,V10,V42,V1,V2,V0), pppp4-{F}(V3,V10,V43,V1,V2,V0), pppp4-{F}(V3,V10,V44,V1,V2,V0), pppp4-{F}(V3,V10,V45,V1,V2,V0), pppp4-{F}(V3,V10,V46,V1,V2,V0), pppp4-{F}(V3,V10,V47,V1,V2,V0), pppp4-{F}(V3,V10,V48,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1895: mergings( V0 == V6, V3 == V17, V4 == V18, V9 == V23, V7 == V27, V17 == V26; #1888 ), references = 3, size of lhs = 25:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), pppp4-{F}(V3,V6,V5,V0,V1,V2), V6 == V5, pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), pppp4-{F}(V3,V6,V12,V0,V1,V2), pppp4-{F}(V3,V6,V13,V0,V1,V2), greater-{F}(V14,V4), V6 == V14, pppp4-{F}(V3,V6,V14,V0,V1,V2), pppp4-{F}(V3,V6,V15,V0,V1,V2), pppp4-{F}(V3,V6,V16,V0,V1,V2), pppp4-{F}(V3,V6,V17,V0,V1,V2), pppp2-{F}(V3,V18,V0,V2), pppp4-{F}(V3,V6,V18,V0,V1,V2), pppp4-{F}(V3,V6,V19,V0,V1,V2), pppp4-{F}(V3,V6,V20,V0,V1,V2) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1976: mergings( V3 == V16, V4 == V17, V6 == V19, V16 == V26, V8 == V25, V26 == V23, V25 == V29, V23 == V28; #1965 ), references = 2, size of lhs = 26:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), greater-{F}(V5,V6), pppp2-{F}(V3,V6,V1,V0), pppp4-{F}(V3,V7,V5,V1,V2,V0), V7 == V5, pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), greater-{F}(V15,V4), V7 == V15, greater-{F}(V15,V6), pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0), pppp4-{F}(V3,V7,V17,V1,V2,V0), pppp4-{F}(V3,V7,V18,V1,V2,V0), pppp4-{F}(V3,V7,V19,V1,V2,V0), pppp4-{F}(V3,V7,V20,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1986: mergings( V3 == V18, V4 == V9, V6 == V26, V18 == V8, V20 == V26, V10 == V33, V8 == V31, V33 == V35, V31 == V34; #1966 ), references = 2, size of lhs = 33:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), greater-{F}(V5,V6), pppp2-{F}(V3,V6,V1,V0), pppp4-{F}(V3,V7,V5,V1,V2,V0), V7 == V5, pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), greater-{F}(V15,V4), V7 == V15, greater-{F}(V15,V6), pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0), pppp4-{F}(V3,V7,V17,V1,V2,V0), pppp4-{F}(V3,V7,V18,V1,V2,V0), pppp4-{F}(V3,V7,V19,V1,V2,V0), pppp4-{F}(V3,V7,V20,V1,V2,V0), V7 == V20, greater-{F}(V20,V6), pppp4-{F}(V3,V7,V21,V1,V2,V0), pppp4-{F}(V3,V7,V22,V1,V2,V0), pppp4-{F}(V3,V7,V23,V1,V2,V0), pppp4-{F}(V3,V7,V24,V1,V2,V0), pppp4-{F}(V3,V7,V25,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #1997: mergings( V3 == V18, V4 == V19, V6 == V21, V18 == V8, V9 == V19, V21 == V37, V10 == V44, V8 == V42, V44 == V46, V42 == V45; #1967 ), references = 1, size of lhs = 47:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), greater-{F}(V5,V6), pppp2-{F}(V3,V6,V1,V0), pppp4-{F}(V3,V7,V5,V1,V2,V0), V7 == V5, pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), greater-{F}(V15,V4), greater-{F}(V15,V6), pppp4-{F}(V3,V16,V15,V1,V2,V0), V16 == V15, pppp4-{F}(V3,V16,V17,V1,V2,V0), pppp4-{F}(V3,V16,V18,V1,V2,V0), pppp4-{F}(V3,V16,V19,V1,V2,V0), pppp4-{F}(V3,V16,V20,V1,V2,V0), pppp4-{F}(V3,V16,V21,V1,V2,V0), pppp4-{F}(V3,V16,V22,V1,V2,V0), pppp4-{F}(V3,V16,V23,V1,V2,V0), greater-{F}(V24,V4), V16 == V24, pppp4-{F}(V3,V16,V24,V1,V2,V0), pppp4-{F}(V3,V16,V25,V1,V2,V0), pppp4-{F}(V3,V16,V26,V1,V2,V0), pppp4-{F}(V3,V16,V27,V1,V2,V0), pppp4-{F}(V3,V16,V28,V1,V2,V0), pppp4-{F}(V3,V16,V29,V1,V2,V0), V16 == V29, greater-{F}(V29,V6), greater-{F}(V30,V4), V7 == V30, greater-{F}(V30,V6), pppp4-{F}(V3,V7,V30,V1,V2,V0), pppp4-{F}(V3,V7,V31,V1,V2,V0), pppp4-{F}(V3,V7,V32,V1,V2,V0), pppp4-{F}(V3,V7,V33,V1,V2,V0), pppp4-{F}(V3,V7,V34,V1,V2,V0), pppp4-{F}(V3,V7,V35,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2008: mergings( V3 == V16, V4 == V17, V16 == V24, V7 == V23, V24 == V21, V23 == V27, V21 == V26; #1998 ), references = 1, size of lhs = 24:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), V5 == V7, pppp2-{F}(V3,V7,V1,V0), pppp4-{F}(V3,V8,V5,V1,V2,V0), V8 == V5, pppp4-{F}(V3,V8,V9,V1,V2,V0), pppp4-{F}(V3,V8,V10,V1,V2,V0), pppp4-{F}(V3,V8,V11,V1,V2,V0), pppp4-{F}(V3,V8,V12,V1,V2,V0), pppp4-{F}(V3,V8,V13,V1,V2,V0), pppp4-{F}(V3,V8,V14,V1,V2,V0), pppp4-{F}(V3,V8,V15,V1,V2,V0), pppp4-{F}(V3,V8,V16,V1,V2,V0), pppp4-{F}(V3,V8,V17,V1,V2,V0), pppp4-{F}(V3,V8,V18,V1,V2,V0), pppp4-{F}(V3,V8,V19,V1,V2,V0), pppp4-{F}(V3,V8,V20,V1,V2,V0) | greater-{T}(V7,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2016: mergings( V3 == V18, V4 == V7, V18 == V6, V9 == V29, V6 == V27, V29 == V31, V27 == V30; #1999 ), references = 1, size of lhs = 28:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), V5 == V7, pppp2-{F}(V3,V7,V1,V0), pppp4-{F}(V3,V8,V5,V1,V2,V0), V8 == V5, pppp4-{F}(V3,V8,V9,V1,V2,V0), pppp4-{F}(V3,V8,V10,V1,V2,V0), pppp4-{F}(V3,V8,V11,V1,V2,V0), pppp4-{F}(V3,V8,V12,V1,V2,V0), pppp4-{F}(V3,V8,V13,V1,V2,V0), pppp4-{F}(V3,V8,V14,V1,V2,V0), pppp4-{F}(V3,V8,V15,V1,V2,V0), pppp4-{F}(V3,V8,V16,V1,V2,V0), pppp4-{F}(V3,V8,V17,V1,V2,V0), pppp4-{F}(V3,V8,V18,V1,V2,V0), pppp4-{F}(V3,V8,V19,V1,V2,V0), pppp4-{F}(V3,V8,V20,V1,V2,V0), pppp4-{F}(V3,V8,V21,V1,V2,V0), pppp4-{F}(V3,V8,V22,V1,V2,V0), pppp4-{F}(V3,V8,V23,V1,V2,V0), pppp4-{F}(V3,V8,V24,V1,V2,V0) | greater-{T}(V7,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2026: mergings( V18 == V3, V4 == V19, V20 == V10, V3 == V6, V7 == V19, V9 == V39, V6 == V37, V39 == V41, V37 == V40; #2000 ), references = 1, size of lhs = 38:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), pppp4-{F}(V3,V6,V5,V1,V2,V0), V6 == V5, pppp4-{F}(V3,V6,V7,V1,V2,V0), pppp4-{F}(V3,V6,V8,V1,V2,V0), pppp4-{F}(V3,V6,V9,V1,V2,V0), pppp4-{F}(V3,V6,V10,V1,V2,V0), pppp4-{F}(V3,V6,V11,V1,V2,V0), pppp4-{F}(V3,V6,V12,V1,V2,V0), pppp4-{F}(V3,V6,V13,V1,V2,V0), pppp4-{F}(V3,V6,V14,V1,V2,V0), pppp4-{F}(V3,V6,V15,V1,V2,V0), pppp4-{F}(V3,V6,V16,V1,V2,V0), pppp4-{F}(V3,V6,V17,V1,V2,V0), pppp4-{F}(V3,V6,V18,V1,V2,V0), pppp4-{F}(V3,V6,V19,V1,V2,V0), pppp4-{F}(V3,V6,V20,V1,V2,V0), pppp4-{F}(V3,V6,V21,V1,V2,V0), pppp4-{F}(V3,V6,V22,V1,V2,V0), pppp4-{F}(V3,V6,V23,V1,V2,V0), pppp4-{F}(V3,V6,V24,V1,V2,V0), pppp4-{F}(V3,V6,V25,V1,V2,V0), pppp4-{F}(V3,V6,V26,V1,V2,V0), pppp4-{F}(V3,V6,V27,V1,V2,V0), pppp4-{F}(V3,V6,V28,V1,V2,V0), pppp4-{F}(V3,V6,V29,V1,V2,V0), greater-{F}(V30,V4), V6 == V30, pppp4-{F}(V3,V6,V30,V1,V2,V0), in_environment-{F}(V31,V30), in_environment-{F}(V31,V32), V30 == V32, pppp2-{F}(V3,V32,V1,V0) | greater-{T}(V32,V30)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2037: mergings( V1 == V9, V2 == V10, V3 == V8, V6 == V7; #2031 ), references = 1, size of lhs = 30:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_efficient_producers-{F}(V3), P_first_movers-{F}(V4), P_zero-{F}(V5), pppp5-{F}(V0,V4,V5,V3), environment-{F}(V6), P_equilibrium-{F}(V6,V7), greater-{F}(V1,V7), in_environment-{F}(V8,V1), in_environment-{F}(V8,V9), V1 == V9, pppp2-{F}(V6,V9,V4,V3), pppp2-{F}(V0,V9,V4,V3), pppp4-{F}(V6,V10,V9,V4,V5,V3), V10 == V9, pppp4-{F}(V6,V10,V11,V4,V5,V3), pppp4-{F}(V6,V10,V12,V4,V5,V3), pppp4-{F}(V6,V10,V13,V4,V5,V3), pppp4-{F}(V6,V10,V14,V4,V5,V3), pppp4-{F}(V6,V10,V15,V4,V5,V3), pppp4-{F}(V6,V10,V16,V4,V5,V3), pppp4-{F}(V6,V10,V17,V4,V5,V3), pppp4-{F}(V6,V10,V18,V4,V5,V3), pppp4-{F}(V6,V10,V19,V4,V5,V3), pppp4-{F}(V6,V10,V20,V4,V5,V3), pppp4-{F}(V6,V10,V21,V4,V5,V3), pppp4-{F}(V6,V10,V22,V4,V5,V3) | pppp4-{T}(V0,V1,V1,V4,V5,V3)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2042: mergings( V1 == V8, V2 == V9, V3 == V10, V6 == V7; #2032 ), references = 1, size of lhs = 31:
% 8.85/9.02 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_first_movers-{F}(V3), P_zero-{F}(V4), pppp5-{F}(V0,V3,V4,V5), P_efficient_producers-{F}(V5), environment-{F}(V6), P_equilibrium-{F}(V6,V7), greater-{F}(V1,V7), pppp2-{F}(V6,V8,V3,V5), pppp4-{F}(V6,V9,V8,V3,V4,V5), pppp4-{F}(V6,V9,V10,V3,V4,V5), pppp4-{F}(V6,V9,V11,V3,V4,V5), pppp4-{F}(V6,V9,V12,V3,V4,V5), pppp4-{F}(V6,V9,V13,V3,V4,V5), pppp4-{F}(V6,V9,V14,V3,V4,V5), pppp4-{F}(V6,V9,V15,V3,V4,V5), pppp4-{F}(V6,V9,V16,V3,V4,V5), pppp4-{F}(V6,V9,V17,V3,V4,V5), pppp4-{F}(V6,V9,V18,V3,V4,V5), pppp4-{F}(V6,V9,V19,V3,V4,V5), pppp4-{F}(V6,V9,V20,V3,V4,V5), pppp4-{F}(V6,V9,V21,V3,V4,V5), in_environment-{F}(V22,V1), in_environment-{F}(V22,V23), V1 == V23, V9 == V23, pppp4-{F}(V6,V9,V23,V3,V4,V5), pppp2-{F}(V0,V23,V3,V5) | pppp4-{T}(V0,V1,V1,V3,V4,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2055: mergings( V6 == V8, V8 == V9, V9 == V11, V11 == V12; #2049 ), references = 2, size of lhs = 18:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), pppp2-{F}(V3,V4,V1,V0), in_environment-{F}(V3,V5), V5 == V4, in_environment-{F}(V6,V5), in_environment-{F}(V6,V4), greater_or_equal-{F}(V5,V7), P_equilibrium-{F}(V3,V7), greater-{F}(V5,V7), in_environment-{F}(V8,V5), in_environment-{F}(V8,V4), in_environment-{F}(V9,V5), in_environment-{F}(V9,V4) | pppp4-{T}(V3,V4,V4,V1,V2,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2060: mergings( V6 == V8, V8 == V9, V9 == V11, V11 == V12; #2050 ), references = 1, size of lhs = 18:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V0,V1,V2), in_environment-{F}(V3,V4), pppp2-{F}(V3,V4,V0,V2), in_environment-{F}(V3,V5), V5 == V4, in_environment-{F}(V6,V5), in_environment-{F}(V6,V4), greater_or_equal-{F}(V5,V7), P_equilibrium-{F}(V3,V7), greater-{F}(V5,V7), in_environment-{F}(V8,V5), in_environment-{F}(V8,V4), in_environment-{F}(V9,V5), in_environment-{F}(V9,V4) | pppp4-{T}(V3,V4,V4,V0,V1,V2)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2069: mergings( V3 == V7, V9 == V4, V10 == V11; #2065 ), references = 1, size of lhs = 24:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), greater-{F}(V5,V4), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), V5 == V7, greater_or_equal-{F}(V7,V8), pppp4-{F}(V3,V7,V8,V1,V2,V0), pppp2-{F}(V3,V8,V1,V0), pppp4-{F}(V3,V7,V9,V1,V2,V0), pppp4-{F}(V3,V7,V10,V1,V2,V0), pppp4-{F}(V3,V7,V11,V1,V2,V0), pppp4-{F}(V3,V7,V12,V1,V2,V0), pppp4-{F}(V3,V7,V13,V1,V2,V0), pppp4-{F}(V3,V7,V14,V1,V2,V0), pppp4-{F}(V3,V7,V15,V1,V2,V0), pppp4-{F}(V3,V7,V16,V1,V2,V0), pppp4-{F}(V3,V7,V17,V1,V2,V0), pppp4-{F}(V3,V7,V18,V1,V2,V0), pppp4-{F}(V3,V7,V19,V1,V2,V0), pppp4-{F}(V3,V7,V20,V1,V2,V0) | greater-{T}(V5,V7)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2072: exists( #20, #1976 ), references = 1, size of lhs = 10:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), P_equilibrium-{F}(V3,V5), greater-{F}(V4,V5), greater-{F}(V4,V6), pppp2-{F}(V3,V6,V1,V0) | pppp4-{T}(V3,V4,V4,V1,V2,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2073: exists( #20, #1986 ), references = 1, size of lhs = 10:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), P_equilibrium-{F}(V3,V5), greater-{F}(V4,V5), greater-{F}(V4,V6), pppp2-{F}(V3,V6,V1,V0) | pppp4-{T}(V3,V4,V4,V1,V2,V0)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2095: mergings( V0 == V7, V7 == V10, V1 == V8, V8 == V11, V2 == V6, V6 == V9, V12 == V13; #2087 ), references = 1, size of lhs = 10:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V2), P_zero-{F}(V3), pppp5-{F}(V0,V2,V3,V1), in_environment-{F}(V0,V4), greater_or_equal-{F}(V4,V4), pppp2-{F}(V0,V4,V2,V1), P_equilibrium-{F}(V0,V5) | pppp3-{T}(V0,V5,V5), pppp3-{T}(V0,V4,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2123: mergings( V0 == V5, V5 == V8, V8 == V14, V14 == V17, V1 == V6, V6 == V9, V9 == V15, V15 == V18, V2 == V4, V4 == V7, V7 == V13, V13 == V16, V12 == V20, V20 == V21, V10 == V11, V11 == V19; #2106 ), references = 2, size of lhs = 12:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V2), P_zero-{F}(V3), pppp5-{F}(V0,V2,V3,V1), in_environment-{F}(V0,V4), greater_or_equal-{F}(V4,V4), pppp2-{F}(V0,V4,V2,V1), P_equilibrium-{F}(V0,V5), V5 == V4, greater_or_equal-{F}(V5,V5) | pppp3-{T}(V0,V4,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2143: mergings( V1 == V5, V5 == V6; #2140 ), references = 2, size of lhs = 8:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V2), P_zero-{F}(V3), pppp5-{F}(V0,V2,V3,V1), P_equilibrium-{F}(V0,V4), greater_or_equal-{F}(V4,V4) | pppp2-{T}(V0,V4,V2,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2156: mergings( V0 == V6, V1 == V7, V2 == V8, V4 == V10, V10 == V11; #2150 ), references = 1, size of lhs = 10:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), P_efficient_producers-{F}(V3), pppp5-{F}(V0,V1,V2,V3), in_environment-{F}(V0,V4), pppp2-{F}(V0,V4,V1,V3), P_equilibrium-{F}(V0,V5), greater_or_equal-{F}(V4,V5) | pppp3-{T}(V0,V5,V5), pppp3-{T}(V0,V4,V5)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2166: mergings( V3 == V14, V4 == V17, V5 == V16; #2161 ), references = 2, size of lhs = 15:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), pppp2-{F}(V3,V4,V0,V2), pppp4-{F}(V3,V5,V4,V0,V1,V2), pppp4-{F}(V3,V5,V6,V0,V1,V2), pppp4-{F}(V3,V5,V7,V0,V1,V2), pppp4-{F}(V3,V5,V8,V0,V1,V2), pppp4-{F}(V3,V5,V9,V0,V1,V2), pppp4-{F}(V3,V5,V10,V0,V1,V2), pppp4-{F}(V3,V5,V11,V0,V1,V2), pppp4-{F}(V3,V5,V12,V0,V1,V2), P_growth_rate-{F}(V0,V5,V13) | P_growth_rate-{T}(V2,V5,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2170: mergings( V3 == V15, V4 == V18, V5 == V17; #2162 ), references = 1, size of lhs = 16:
% 8.85/9.02 P_first_movers-{F}(V0), P_zero-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), pppp2-{F}(V3,V5,V0,V2), pppp4-{F}(V3,V6,V5,V0,V1,V2), pppp4-{F}(V3,V6,V4,V0,V1,V2), pppp4-{F}(V3,V6,V7,V0,V1,V2), pppp4-{F}(V3,V6,V8,V0,V1,V2), pppp4-{F}(V3,V6,V9,V0,V1,V2), pppp4-{F}(V3,V6,V10,V0,V1,V2), pppp4-{F}(V3,V6,V11,V0,V1,V2), pppp4-{F}(V3,V6,V12,V0,V1,V2), pppp4-{F}(V3,V6,V13,V0,V1,V2), P_growth_rate-{F}(V0,V6,V14) | P_growth_rate-{T}(V2,V6,V1)
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2182: mergings( V0 == V6, V3 == V15, V4 == V16, V16 == V20, V7 == V24, V15 == V23; #2175 ), references = 1, size of lhs = 19:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), pppp2-{F}(V3,V4,V1,V0), pppp4-{F}(V3,V5,V4,V1,V2,V0), pppp4-{F}(V3,V5,V6,V1,V2,V0), pppp4-{F}(V3,V5,V7,V1,V2,V0), pppp4-{F}(V3,V5,V8,V1,V2,V0), pppp4-{F}(V3,V5,V9,V1,V2,V0), pppp4-{F}(V3,V5,V10,V1,V2,V0), pppp4-{F}(V3,V5,V11,V1,V2,V0), pppp4-{F}(V3,V5,V12,V1,V2,V0), pppp4-{F}(V3,V5,V13,V1,V2,V0), pppp4-{F}(V3,V5,V14,V1,V2,V0), pppp4-{F}(V3,V5,V15,V1,V2,V0), pppp4-{F}(V3,V5,V16,V1,V2,V0), pppp4-{F}(V3,V5,V17,V1,V2,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2184: exists( #20, #2175 ), references = 2, size of lhs = 8:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), pppp5-{F}(V3,V1,V2,V0), in_environment-{F}(V3,V4), P_equilibrium-{F}(V3,V4), pppp2-{F}(V3,V4,V1,V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2197: mergings( V2 == V5; #2195 ), references = 1, size of lhs = 6:
% 8.85/9.02 stable-{F}(V0), environment-{F}(V0), P_efficient_producers-{F}(V1), P_first_movers-{F}(V2), P_zero-{F}(V3), pppp5-{F}(V0,V2,V3,V1) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2201: exists( #19, #2199 ), references = 1, size of lhs = 3:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1), P_zero-{F}(V2) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2203: exists( #30, #2200 ), references = 1, size of lhs = 2:
% 8.85/9.02 P_efficient_producers-{F}(V0), P_first_movers-{F}(V1) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2205: exists( #27, #2202 ), references = 1, size of lhs = 1:
% 8.85/9.02 P_first_movers-{F}(V0) | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 #2207: exists( #26, #2204 ), references = 1, size of lhs = 0:
% 8.85/9.02 FALSE | FALSE
% 8.85/9.02 (used 0 times, uses = {})
% 8.85/9.02
% 8.85/9.02 number of learnt formulas = 124
% 8.85/9.02
% 8.85/9.02
% 8.85/9.02 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.85/9.02
% 8.85/9.02 randbase = 1
%------------------------------------------------------------------------------