TSTP Solution File: MGT035+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT035+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 06:10:38 EDT 2022
% Result : Theorem 3.99s 4.22s
% Output : Refutation 3.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT035+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 11:11:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.99/4.22 GeoParameters:
% 3.99/4.22
% 3.99/4.22 tptp_input = 1
% 3.99/4.22 tptp_output = 0
% 3.99/4.22 nonempty = 1
% 3.99/4.22 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.99/4.22 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.99/4.22
% 3.99/4.22
% 3.99/4.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.99/4.22 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.99/4.22
% 3.99/4.22 RuleSystem INPUT:
% 3.99/4.22
% 3.99/4.22 Initial Rules:
% 3.99/4.22 #0: input, references = 25, size of lhs = 2:
% 3.99/4.22 greater-{F}(V0,V1), greater-{F}(V2,V0) | greater-{T}(V2,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1: input, references = 10, size of lhs = 3:
% 3.99/4.22 in_environment-{F}(V2,V0), in_environment-{F}(V2,V1), V1 == V0 | greater-{T}(V1,V0), greater-{T}(V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #2: input, references = 21, size of lhs = 1:
% 3.99/4.22 greater_or_equal-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #3: input, references = 48, size of lhs = 1:
% 3.99/4.22 pppp0-{F}(V0,V1) | greater_or_equal-{T}(V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #4: input, references = 21, size of lhs = 2:
% 3.99/4.22 pppp0-{F}(V0,V1), V0 == V1 | greater-{T}(V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #5: input, references = 44, size of lhs = 1:
% 3.99/4.22 greater-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #6: input, references = 7, size of lhs = 1:
% 3.99/4.22 #-{F} V1 | pppp0-{T}(V1,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #7: input, references = 9, size of lhs = 3:
% 3.99/4.22 pppp1-{F}(V0,V1,V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V2) | outcompetes-{T}(V1,V0,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #8: input, references = 3, size of lhs = 3:
% 3.99/4.22 outcompetes-{F}(V1,V0,V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V2) | pppp1-{T}(V0,V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #9: input, references = 3, size of lhs = 4:
% 3.99/4.22 P_zero-{F}(V0), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), pppp1-{F}(V1,V2,V3) | greater_or_equal-{T}(V4,V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #10: input, references = 3, size of lhs = 4:
% 3.99/4.22 P_zero-{F}(V0), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), pppp1-{F}(V1,V2,V3) | greater-{T}(V0,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #11: input, references = 9, size of lhs = 5:
% 3.99/4.22 P_zero-{F}(V0), P_growth_rate-{F}(V2,V3,V4), P_growth_rate-{F}(V1,V3,V5), greater_or_equal-{F}(V4,V0), greater-{F}(V0,V5) | pppp1-{T}(V1,V2,V3)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #12: input, references = 8, size of lhs = 9:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V1,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V1,V2,V6,V3), greater_or_equal-{F}(V3,V7) | pppp2-{T}(V0,V4,V5), greater-{T}(V4,V0), greater-{T}(V5,V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #13: input, references = 4, size of lhs = 9:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V1,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V1,V2,V6,V3), greater_or_equal-{F}(V3,V7) | pppp2-{T}(V0,V4,V5), greater-{T}(V4,V0), greater-{T}(V0,V4)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #14: input, references = 3, size of lhs = 9:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V1,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V1,V2,V6,V3), greater_or_equal-{F}(V3,V7) | pppp2-{T}(V0,V4,V5), greater-{T}(V0,V5), greater-{T}(V5,V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #15: input, references = 5, size of lhs = 9:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_growth_rate-{F}(V1,V3,V4), P_growth_rate-{F}(V2,V3,V5), P_equilibrium-{F}(V6,V7), environment-{F}(V6), subpopulations-{F}(V1,V2,V6,V3), greater_or_equal-{F}(V3,V7) | pppp2-{T}(V0,V4,V5), greater-{T}(V0,V5), greater-{T}(V0,V4)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #16: input, references = 5, size of lhs = 2:
% 3.99/4.22 pppp2-{F}(V0,V1,V2), V2 == V0 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #17: input, references = 4, size of lhs = 2:
% 3.99/4.22 pppp2-{F}(V0,V1,V2), V1 == V0 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #18: input, references = 5, size of lhs = 5:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), stable-{F}(V3) | EXISTS V4: pppp3-{T}(V3,V4,V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #19: input, references = 9, size of lhs = 5:
% 3.99/4.22 pppp3-{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)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #20: input, references = 6, size of lhs = 1:
% 3.99/4.22 pppp3-{F}(V0,V1,V2,V3) | in_environment-{T}(V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #21: input, references = 5, size of lhs = 6:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), P_equilibrium-{F}(V3,V4), environment-{F}(V3), stable-{F}(V3) | EXISTS V5: pppp4-{T}(V3,V5,V4)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #22: input, references = 7, size of lhs = 1:
% 3.99/4.22 pppp4-{F}(V0,V1,V2) | greater_or_equal-{T}(V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #23: input, references = 7, size of lhs = 1:
% 3.99/4.22 pppp4-{F}(V0,V1,V2) | in_environment-{T}(V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #24: input, references = 4, size of lhs = 3:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2) | EXISTS V3: pppp6-{T}(V3,V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #25: input, references = 16, size of lhs = 2:
% 3.99/4.22 pppp6-{F}(V0,V1,V2), in_environment-{F}(V0,V3) | EXISTS V4: pppp5-{T}(V0,V4,V3,V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #26: input, references = 4, size of lhs = 1:
% 3.99/4.22 pppp6-{F}(V0,V1,V2) | stable-{T}(V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #27: input, references = 4, size of lhs = 1:
% 3.99/4.22 pppp6-{F}(V0,V1,V2) | environment-{T}(V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #28: input, references = 9, size of lhs = 2:
% 3.99/4.22 pppp5-{F}(V0,V1,V2,V3,V4), outcompetes-{F}(V4,V3,V1) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #29: input, references = 18, size of lhs = 1:
% 3.99/4.22 pppp5-{F}(V0,V1,V2,V3,V4) | greater_or_equal-{T}(V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #30: input, references = 38, size of lhs = 1:
% 3.99/4.22 pppp5-{F}(V0,V1,V2,V3,V4) | subpopulations-{T}(V3,V4,V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #31: input, references = 14, size of lhs = 2:
% 3.99/4.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #32: input, references = 4, size of lhs = 0:
% 3.99/4.22 FALSE | EXISTS V0: P_zero-{T}(V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #33: input, references = 4, size of lhs = 0:
% 3.99/4.22 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #34: input, references = 4, size of lhs = 0:
% 3.99/4.22 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #35: input, references = 4, size of lhs = 1:
% 3.99/4.22 #-{F} V0 | EXISTS V1: P_equilibrium-{T}(V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 number of initial rules = 36
% 3.99/4.22
% 3.99/4.22 Simplifiers:
% 3.99/4.22 #36: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #37: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #38: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #39: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 outcompetes-{F}(V0,V1,V2), outcompetes-{F}(V3,V4,V5), V1 == V4 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #40: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 outcompetes-{F}(V0,V1,V2), outcompetes-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #41: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #42: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #43: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #44: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #45: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 P_equilibrium-{F}(V0,V1), P_equilibrium-{F}(V0,V3), V1 == V3 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #46: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #47: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #48: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #49: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #50: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #51: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V2 == V5 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #52: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #53: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V3,V4), V0 == V5 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #54: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #55: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp5-{F}(V0,V1,V2,V3,V4), pppp5-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #56: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #57: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #58: unsound, references = 3, size of lhs = 3:
% 3.99/4.22 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 number of simplifiers = 23
% 3.99/4.22
% 3.99/4.22 Learnt:
% 3.99/4.22 #76: mergings( V1 == V9, V2 == V11, V6 == V8; #72 ), references = 2, size of lhs = 15:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V3), V3 == V2, environment-{F}(V4), P_equilibrium-{F}(V4,V5), subpopulations-{F}(V0,V1,V4,V6), greater_or_equal-{F}(V6,V5), P_growth_rate-{F}(V1,V6,V3), P_growth_rate-{F}(V0,V6,V7), subpopulations-{F}(V0,V1,V4,V8), P_growth_rate-{F}(V0,V8,V2), P_growth_rate-{F}(V1,V8,V3), pppp5-{F}(V9,V8,V10,V0,V1) | greater-{T}(V7,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #99: mergings( V0 == V17, V3 == V15, V4 == V14, V15 == V19, V14 == V10, V6 == V16, V11 == V20; #91 ), references = 2, size of lhs = 21:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V3), V3 == V2, greater-{F}(V2,V4), environment-{F}(V5), P_equilibrium-{F}(V5,V6), subpopulations-{F}(V0,V1,V5,V7), P_growth_rate-{F}(V1,V7,V3), P_growth_rate-{F}(V0,V7,V2), subpopulations-{F}(V0,V1,V5,V8), greater_or_equal-{F}(V8,V6), P_growth_rate-{F}(V1,V8,V3), greater_or_equal-{F}(V8,V9), pppp3-{F}(V5,V9,V0,V1), subpopulations-{F}(V0,V1,V5,V10), P_growth_rate-{F}(V0,V10,V4), P_growth_rate-{F}(V1,V10,V3), pppp5-{F}(V11,V7,V12,V0,V1), pppp5-{F}(V11,V10,V13,V0,V1) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #109: mergings( V1 == V10, V2 == V12, V6 == V8; #104 ), references = 3, size of lhs = 15:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V0,V5,V6), P_growth_rate-{F}(V1,V5,V7), V7 == V2, subpopulations-{F}(V0,V1,V3,V8), P_growth_rate-{F}(V0,V8,V6), P_growth_rate-{F}(V1,V8,V9), greater_or_equal-{F}(V9,V2), pppp5-{F}(V10,V8,V11,V0,V1) | greater-{T}(V6,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #113: mergings( V1 == V10, V2 == V12, V6 == V8; #105 ), references = 1, size of lhs = 15:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V0,V5,V6), V6 == V2, P_growth_rate-{F}(V1,V5,V7), subpopulations-{F}(V0,V1,V3,V8), P_growth_rate-{F}(V0,V8,V6), P_growth_rate-{F}(V1,V8,V9), greater_or_equal-{F}(V9,V2), pppp5-{F}(V10,V8,V11,V0,V1) | greater-{T}(V6,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #126: mergings( V1 == V11, V11 == V19, V2 == V13, V6 == V9, V13 == V21, V9 == V17, V0 == V16, V14 == V22; #117 ), references = 2, size of lhs = 21:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V5,V4), P_growth_rate-{F}(V0,V5,V6), P_growth_rate-{F}(V1,V5,V7), greater-{F}(V7,V8), subpopulations-{F}(V0,V1,V3,V9), P_growth_rate-{F}(V0,V9,V8), P_growth_rate-{F}(V1,V9,V10), greater_or_equal-{F}(V10,V2), subpopulations-{F}(V0,V1,V3,V11), P_growth_rate-{F}(V0,V11,V6), P_growth_rate-{F}(V1,V11,V12), greater_or_equal-{F}(V12,V2), pppp5-{F}(V13,V9,V14,V0,V1), pppp5-{F}(V13,V11,V15,V0,V1) | pppp2-{T}(V2,V6,V7)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #143: mergings( V3 == V14, V4 == V15, V14 == V16, V15 == V8, V16 == V19, V8 == V10, V6 == V11, V11 == V12, V7 == V9, V17 == V20; #131 ), references = 7, size of lhs = 15:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V5,V4), greater_or_equal-{F}(V5,V6), pppp3-{F}(V3,V6,V0,V1), P_growth_rate-{F}(V1,V5,V7), V7 == V2, greater_or_equal-{F}(V7,V2), pppp5-{F}(V8,V5,V9,V0,V1), pppp5-{F}(V8,V5,V10,V0,V1) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #166: mergings( V1 == V8, V8 == V15, V2 == V9, V6 == V10, V9 == V16, V10 == V17, V7 == V11, V11 == V18, V0 == V20, V12 == V21; #154 ), references = 1, size of lhs = 24:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), environment-{F}(V3), pppp3-{F}(V3,V2,V0,V1), subpopulations-{F}(V0,V1,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V0,V4,V6), V6 == V2, P_growth_rate-{F}(V1,V6,V6), subpopulations-{F}(V0,V1,V3,V6), greater_or_equal-{F}(V6,V5), P_growth_rate-{F}(V1,V4,V7), V7 == V2, subpopulations-{F}(V0,V1,V3,V8), greater_or_equal-{F}(V8,V5), P_growth_rate-{F}(V1,V8,V7), greater_or_equal-{F}(V8,V2), pppp5-{F}(V9,V6,V10,V0,V1), pppp5-{F}(V9,V6,V11,V0,V1), pppp5-{F}(V9,V8,V12,V0,V1), pppp5-{F}(V9,V8,V13,V0,V1) | pppp2-{T}(V2,V6,V7)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #178: mergings( V1 == V8, V8 == V20, V2 == V9, V6 == V13, V9 == V21, V13 == V22, V10 == V0, V7 == V14, V14 == V23, V0 == V25, V17 == V26; #155 ), references = 1, size of lhs = 32:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), greater-{F}(V2,V3), V3 == V2, greater-{F}(V2,V4), environment-{F}(V5), pppp3-{F}(V5,V2,V0,V1), subpopulations-{F}(V0,V1,V5,V6), greater_or_equal-{F}(V6,V7), P_equilibrium-{F}(V5,V7), P_growth_rate-{F}(V0,V6,V8), P_growth_rate-{F}(V1,V8,V3), subpopulations-{F}(V0,V1,V5,V8), greater_or_equal-{F}(V8,V7), P_growth_rate-{F}(V1,V6,V9), V9 == V2, subpopulations-{F}(V0,V1,V5,V10), P_growth_rate-{F}(V1,V10,V3), P_growth_rate-{F}(V0,V10,V2), subpopulations-{F}(V0,V1,V5,V11), P_growth_rate-{F}(V0,V11,V4), P_growth_rate-{F}(V1,V11,V3), subpopulations-{F}(V0,V1,V5,V12), greater_or_equal-{F}(V12,V7), P_growth_rate-{F}(V1,V12,V9), greater_or_equal-{F}(V12,V2), pppp5-{F}(V13,V10,V14,V0,V1), pppp5-{F}(V13,V11,V15,V0,V1), pppp5-{F}(V13,V12,V16,V0,V1), pppp5-{F}(V13,V12,V17,V0,V1) | pppp2-{T}(V2,V8,V9)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #189: mergings( V1 == V8, V2 == V9, V6 == V10, V7 == V11; #183 ), references = 1, size of lhs = 18:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V0,V4,V6), P_growth_rate-{F}(V1,V4,V7), V7 == V2, subpopulations-{F}(V0,V1,V3,V8), greater_or_equal-{F}(V8,V5), P_growth_rate-{F}(V1,V8,V7), greater_or_equal-{F}(V8,V9), pppp3-{F}(V3,V9,V0,V1), pppp5-{F}(V10,V8,V11,V0,V1), pppp5-{F}(V10,V8,V12,V0,V1) | greater-{T}(V6,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #194: mergings( V1 == V8, V2 == V9, V6 == V10, V7 == V11; #184 ), references = 1, size of lhs = 19:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V0,V4,V6), V6 == V2, P_growth_rate-{F}(V1,V4,V7), V7 == V2, subpopulations-{F}(V0,V1,V3,V8), greater_or_equal-{F}(V8,V5), P_growth_rate-{F}(V1,V8,V7), greater_or_equal-{F}(V8,V9), pppp3-{F}(V3,V9,V0,V1), pppp5-{F}(V10,V8,V11,V0,V1), pppp5-{F}(V10,V8,V12,V0,V1) | greater-{T}(V6,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #215: mergings( V0 == V7, V7 == V13, V3 == V8, V4 == V9, V8 == V14, V9 == V16, V14 == V28, V16 == V29, V6 == V20, V5 == V10, V10 == V17, V12 == V19, V19 == V27, V21 == V24; #200 ), references = 3, size of lhs = 24:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V1,V4,V6), V6 == V2, greater_or_equal-{F}(V4,V7), pppp3-{F}(V3,V7,V0,V1), subpopulations-{F}(V0,V1,V3,V8), greater_or_equal-{F}(V8,V5), greater_or_equal-{F}(V8,V7), P_growth_rate-{F}(V1,V8,V6), subpopulations-{F}(V0,V1,V3,V9), greater_or_equal-{F}(V9,V5), greater_or_equal-{F}(V9,V7), P_growth_rate-{F}(V1,V9,V6), pppp5-{F}(V10,V4,V11,V0,V1), pppp5-{F}(V10,V4,V12,V0,V1), pppp5-{F}(V10,V8,V13,V0,V1), pppp5-{F}(V10,V8,V14,V0,V1) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #227: mergings( V4 == V16, V6 == V10, V7 == V12, V10 == V3, V12 == V16, V5 == V8, V8 == V13, V9 == V14, V14 == V15, V17 == V20; #216 ), references = 1, size of lhs = 14:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V5,V4), greater_or_equal-{F}(V5,V6), pppp3-{F}(V3,V6,V0,V1), pppp5-{F}(V7,V5,V8,V0,V1), pppp5-{F}(V7,V5,V9,V0,V1), pppp5-{F}(V7,V5,V10,V0,V1), pppp5-{F}(V7,V5,V11,V0,V1) | P_growth_rate-{T}(V1,V5,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #237: mergings( V3 == V14, V5 == V15, V8 == V9, V9 == V7; #232 ), references = 1, size of lhs = 14:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater-{F}(V2,V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V5,V4), greater_or_equal-{F}(V5,V6), pppp3-{F}(V3,V6,V0,V1), P_growth_rate-{F}(V1,V5,V7), greater_or_equal-{F}(V7,V2), pppp5-{F}(V8,V5,V9,V0,V1), pppp5-{F}(V8,V5,V10,V0,V1) | P_growth_rate-{T}(V0,V5,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #270: mergings( V10 == V21, V22 == V24, V24 == V25, V3 == V11, V11 == V13, V12 == V14, V13 == V9, V14 == V21, V9 == V15, V21 == V25, V15 == V37, V4 == V16, V5 == V25, V16 == V39, V25 == V8, V6 == V2, V18 == V19, V19 == V20, V20 == V23, V26 == V29, V29 == V32, V32 == V35, V35 == V40; #246 ), references = 4, size of lhs = 28:
% 3.99/4.22 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), in_environment-{F}(V1,V0), in_environment-{F}(V1,V2), V2 == V0, P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), environment-{F}(V5), P_equilibrium-{F}(V5,V2), subpopulations-{F}(V3,V4,V5,V6), greater_or_equal-{F}(V6,V2), P_growth_rate-{F}(V3,V6,V0), P_growth_rate-{F}(V4,V6,V2), subpopulations-{F}(V3,V4,V5,V7), greater-{F}(V7,V0), greater_or_equal-{F}(V7,V8), pppp3-{F}(V5,V8,V3,V4), subpopulations-{F}(V3,V4,V5,V9), P_growth_rate-{F}(V3,V9,V0), P_growth_rate-{F}(V4,V9,V2), pppp5-{F}(V10,V7,V11,V3,V4), pppp5-{F}(V10,V7,V12,V3,V4), pppp5-{F}(V10,V7,V13,V3,V4), pppp5-{F}(V10,V7,V14,V3,V4), pppp5-{F}(V10,V7,V15,V3,V4), pppp5-{F}(V10,V7,V16,V3,V4), pppp5-{F}(V10,V7,V17,V3,V4), pppp5-{F}(V10,V9,V18,V3,V4) | greater-{T}(V2,V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #288: mergings( V9 == V7, V4 == V8, V3 == V5; #284 ), references = 21, size of lhs = 8:
% 3.99/4.22 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), environment-{F}(V1), greater_or_equal-{F}(V2,V3), P_growth_rate-{F}(V4,V2,V0), pppp3-{F}(V1,V3,V5,V4), subpopulations-{F}(V5,V4,V1,V2), pppp5-{F}(V6,V2,V7,V5,V4) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #299: mergings( V1 == V8, V2 == V9, V6 == V10, V7 == V11; #291 ), references = 3, size of lhs = 20:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V0,V4,V6), P_growth_rate-{F}(V1,V4,V7), V7 == V2, greater-{F}(V7,V2), subpopulations-{F}(V0,V1,V3,V8), greater_or_equal-{F}(V8,V5), greater_or_equal-{F}(V8,V9), pppp3-{F}(V3,V9,V0,V1), P_growth_rate-{F}(V1,V8,V10), V10 == V2, greater_or_equal-{F}(V10,V2), pppp5-{F}(V11,V8,V12,V0,V1), pppp5-{F}(V11,V8,V13,V0,V1) | greater-{T}(V2,V6)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #304: mergings( V1 == V8, V2 == V9, V6 == V10, V7 == V12; #292 ), references = 1, size of lhs = 29:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V0,V4,V6), P_growth_rate-{F}(V1,V4,V7), V7 == V2, greater-{F}(V7,V2), subpopulations-{F}(V0,V1,V3,V8), greater_or_equal-{F}(V8,V5), P_growth_rate-{F}(V1,V8,V9), V9 == V2, greater_or_equal-{F}(V8,V10), pppp3-{F}(V3,V10,V0,V1), subpopulations-{F}(V0,V1,V3,V11), greater_or_equal-{F}(V11,V5), greater_or_equal-{F}(V11,V10), P_growth_rate-{F}(V1,V11,V9), subpopulations-{F}(V0,V1,V3,V12), greater_or_equal-{F}(V12,V5), greater_or_equal-{F}(V12,V10), P_growth_rate-{F}(V1,V12,V9), pppp5-{F}(V13,V8,V14,V0,V1), pppp5-{F}(V13,V8,V15,V0,V1), pppp5-{F}(V13,V11,V16,V0,V1), pppp5-{F}(V13,V11,V17,V0,V1) | greater-{T}(V2,V6)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #309: mergings( V1 == V8, V2 == V9, V6 == V10, V7 == V11; #293 ), references = 1, size of lhs = 20:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V0,V4,V6), V6 == V2, P_growth_rate-{F}(V1,V4,V7), greater-{F}(V7,V2), subpopulations-{F}(V0,V1,V3,V8), greater_or_equal-{F}(V8,V5), greater_or_equal-{F}(V8,V9), pppp3-{F}(V3,V9,V0,V1), P_growth_rate-{F}(V1,V8,V10), V10 == V2, greater_or_equal-{F}(V10,V2), pppp5-{F}(V11,V8,V12,V0,V1), pppp5-{F}(V11,V8,V13,V0,V1) | greater-{T}(V2,V6)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #336: mergings( V0 == V16, V3 == V9, V4 == V10, V9 == V17, V10 == V18, V6 == V7, V7 == V12, V5 == V11, V11 == V19, V14 == V21, V23 == V25, V25 == V28; #322 ), references = 6, size of lhs = 29:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V2,V4,V6), V6 == V0, greater_or_equal-{F}(V6,V0), greater-{F}(V6,V0), subpopulations-{F}(V1,V2,V3,V7), greater_or_equal-{F}(V7,V5), greater_or_equal-{F}(V7,V8), pppp3-{F}(V3,V8,V1,V2), P_growth_rate-{F}(V2,V7,V9), V9 == V0, greater_or_equal-{F}(V9,V0), subpopulations-{F}(V1,V2,V3,V10), greater_or_equal-{F}(V10,V5), greater_or_equal-{F}(V10,V8), P_growth_rate-{F}(V2,V10,V11), V11 == V0, greater_or_equal-{F}(V11,V0), pppp5-{F}(V12,V4,V13,V1,V2), pppp5-{F}(V12,V7,V14,V1,V2), pppp5-{F}(V12,V7,V15,V1,V2), pppp5-{F}(V12,V10,V16,V1,V2), pppp5-{F}(V12,V10,V17,V1,V2) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #349: mergings( V0 == V16, V3 == V9, V4 == V10, V9 == V17, V10 == V18, V6 == V7, V7 == V12, V5 == V11, V11 == V20, V14 == V22, V25 == V27, V27 == V30; #323 ), references = 6, size of lhs = 38:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V2,V4,V6), V6 == V0, greater_or_equal-{F}(V6,V0), greater-{F}(V6,V0), subpopulations-{F}(V1,V2,V3,V7), greater_or_equal-{F}(V7,V5), greater_or_equal-{F}(V7,V8), pppp3-{F}(V3,V8,V1,V2), P_growth_rate-{F}(V2,V7,V9), V9 == V0, greater_or_equal-{F}(V9,V0), subpopulations-{F}(V1,V2,V3,V10), greater_or_equal-{F}(V10,V5), greater_or_equal-{F}(V10,V8), P_growth_rate-{F}(V2,V10,V11), V11 == V0, subpopulations-{F}(V1,V2,V3,V12), greater_or_equal-{F}(V12,V5), greater_or_equal-{F}(V12,V8), P_growth_rate-{F}(V2,V12,V11), subpopulations-{F}(V1,V2,V3,V13), greater_or_equal-{F}(V13,V5), greater_or_equal-{F}(V13,V8), P_growth_rate-{F}(V2,V13,V11), pppp5-{F}(V14,V4,V15,V1,V2), pppp5-{F}(V14,V7,V16,V1,V2), pppp5-{F}(V14,V7,V17,V1,V2), pppp5-{F}(V14,V10,V18,V1,V2), pppp5-{F}(V14,V10,V19,V1,V2), pppp5-{F}(V14,V12,V20,V1,V2), pppp5-{F}(V14,V12,V21,V1,V2) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #376: mergings( V1 == V8, V2 == V9, V6 == V10, V7 == V12; #370 ), references = 1, size of lhs = 27:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V1,V4,V6), V6 == V0, P_growth_rate-{F}(V2,V4,V7), subpopulations-{F}(V1,V2,V3,V8), P_growth_rate-{F}(V2,V8,V6), greater_or_equal-{F}(V8,V5), subpopulations-{F}(V1,V2,V3,V9), greater_or_equal-{F}(V9,V5), P_growth_rate-{F}(V2,V9,V6), greater_or_equal-{F}(V9,V10), pppp3-{F}(V3,V10,V1,V2), subpopulations-{F}(V1,V2,V3,V11), greater_or_equal-{F}(V11,V5), greater_or_equal-{F}(V11,V10), P_growth_rate-{F}(V2,V11,V6), pppp5-{F}(V12,V8,V13,V1,V2), pppp5-{F}(V12,V9,V14,V1,V2), pppp5-{F}(V12,V9,V15,V1,V2), pppp5-{F}(V12,V11,V16,V1,V2), pppp5-{F}(V12,V11,V17,V1,V2) | greater-{T}(V7,V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #381: mergings( V1 == V8, V2 == V9, V6 == V10, V7 == V12; #368 ), references = 1, size of lhs = 28:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V1,V4,V6), V6 == V0, P_growth_rate-{F}(V2,V4,V7), V7 == V0, subpopulations-{F}(V1,V2,V3,V8), P_growth_rate-{F}(V2,V8,V6), greater_or_equal-{F}(V8,V5), subpopulations-{F}(V1,V2,V3,V9), greater_or_equal-{F}(V9,V5), P_growth_rate-{F}(V2,V9,V6), greater_or_equal-{F}(V9,V10), pppp3-{F}(V3,V10,V1,V2), subpopulations-{F}(V1,V2,V3,V11), greater_or_equal-{F}(V11,V5), greater_or_equal-{F}(V11,V10), P_growth_rate-{F}(V2,V11,V6), pppp5-{F}(V12,V8,V13,V1,V2), pppp5-{F}(V12,V9,V14,V1,V2), pppp5-{F}(V12,V9,V15,V1,V2), pppp5-{F}(V12,V11,V16,V1,V2), pppp5-{F}(V12,V11,V17,V1,V2) | greater-{T}(V7,V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #386: mergings( V1 == V8, V2 == V9, V6 == V10, V7 == V12; #371 ), references = 1, size of lhs = 38:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V1,V4,V6), V6 == V0, P_growth_rate-{F}(V2,V4,V7), subpopulations-{F}(V1,V2,V3,V8), P_growth_rate-{F}(V2,V8,V6), greater_or_equal-{F}(V8,V5), subpopulations-{F}(V1,V2,V3,V9), greater_or_equal-{F}(V9,V5), P_growth_rate-{F}(V2,V9,V6), greater_or_equal-{F}(V9,V10), pppp3-{F}(V3,V10,V1,V2), subpopulations-{F}(V1,V2,V3,V11), greater_or_equal-{F}(V11,V5), greater_or_equal-{F}(V11,V10), P_growth_rate-{F}(V2,V11,V12), V12 == V0, subpopulations-{F}(V1,V2,V3,V13), greater_or_equal-{F}(V13,V5), greater_or_equal-{F}(V13,V10), P_growth_rate-{F}(V2,V13,V12), subpopulations-{F}(V1,V2,V3,V14), greater_or_equal-{F}(V14,V5), greater_or_equal-{F}(V14,V10), P_growth_rate-{F}(V2,V14,V12), pppp5-{F}(V15,V8,V16,V1,V2), pppp5-{F}(V15,V9,V17,V1,V2), pppp5-{F}(V15,V9,V18,V1,V2), pppp5-{F}(V15,V11,V19,V1,V2), pppp5-{F}(V15,V11,V20,V1,V2), pppp5-{F}(V15,V13,V21,V1,V2), pppp5-{F}(V15,V13,V22,V1,V2) | greater-{T}(V7,V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #419: mergings( V1 == V8, V8 == V23, V2 == V9, V6 == V10, V9 == V24, V10 == V25, V7 == V12, V12 == V27, V15 == V29, V17 == V31; #405 ), references = 1, size of lhs = 45:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V1,V4,V6), P_growth_rate-{F}(V2,V4,V7), V7 == V0, subpopulations-{F}(V1,V2,V3,V8), greater_or_equal-{F}(V8,V5), P_growth_rate-{F}(V2,V8,V9), V9 == V0, greater-{F}(V9,V6), subpopulations-{F}(V1,V2,V3,V10), greater_or_equal-{F}(V10,V5), P_growth_rate-{F}(V2,V10,V9), greater_or_equal-{F}(V10,V11), pppp3-{F}(V3,V11,V1,V2), subpopulations-{F}(V1,V2,V3,V12), greater_or_equal-{F}(V12,V5), greater_or_equal-{F}(V12,V11), P_growth_rate-{F}(V2,V12,V9), subpopulations-{F}(V1,V2,V3,V13), P_growth_rate-{F}(V2,V13,V7), greater_or_equal-{F}(V13,V5), subpopulations-{F}(V1,V2,V3,V14), greater_or_equal-{F}(V14,V5), P_growth_rate-{F}(V2,V14,V7), greater_or_equal-{F}(V14,V11), subpopulations-{F}(V1,V2,V3,V15), greater_or_equal-{F}(V15,V5), greater_or_equal-{F}(V15,V11), P_growth_rate-{F}(V2,V15,V7), pppp5-{F}(V16,V8,V17,V1,V2), pppp5-{F}(V16,V10,V18,V1,V2), pppp5-{F}(V16,V10,V19,V1,V2), pppp5-{F}(V16,V12,V20,V1,V2), pppp5-{F}(V16,V12,V21,V1,V2), pppp5-{F}(V16,V13,V22,V1,V2), pppp5-{F}(V16,V14,V23,V1,V2), pppp5-{F}(V16,V14,V24,V1,V2), pppp5-{F}(V16,V15,V25,V1,V2), pppp5-{F}(V16,V15,V26,V1,V2) | pppp2-{T}(V0,V6,V7)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #430: mergings( V1 == V8, V8 == V23, V2 == V9, V6 == V10, V9 == V24, V10 == V25, V7 == V12, V12 == V27, V15 == V29, V17 == V34; #406 ), references = 1, size of lhs = 56:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V1,V4,V6), P_growth_rate-{F}(V2,V4,V7), V7 == V0, subpopulations-{F}(V1,V2,V3,V8), greater_or_equal-{F}(V8,V5), P_growth_rate-{F}(V2,V8,V9), V9 == V0, greater-{F}(V9,V6), subpopulations-{F}(V1,V2,V3,V10), greater_or_equal-{F}(V10,V5), P_growth_rate-{F}(V2,V10,V9), greater_or_equal-{F}(V10,V11), pppp3-{F}(V3,V11,V1,V2), subpopulations-{F}(V1,V2,V3,V12), greater_or_equal-{F}(V12,V5), greater_or_equal-{F}(V12,V11), P_growth_rate-{F}(V2,V12,V9), subpopulations-{F}(V1,V2,V3,V13), P_growth_rate-{F}(V2,V13,V7), greater_or_equal-{F}(V13,V5), subpopulations-{F}(V1,V2,V3,V14), greater_or_equal-{F}(V14,V5), P_growth_rate-{F}(V2,V14,V7), greater_or_equal-{F}(V14,V11), subpopulations-{F}(V1,V2,V3,V15), greater_or_equal-{F}(V15,V5), greater_or_equal-{F}(V15,V11), P_growth_rate-{F}(V2,V15,V16), V16 == V0, subpopulations-{F}(V1,V2,V3,V17), greater_or_equal-{F}(V17,V5), greater_or_equal-{F}(V17,V11), P_growth_rate-{F}(V2,V17,V16), subpopulations-{F}(V1,V2,V3,V18), greater_or_equal-{F}(V18,V5), greater_or_equal-{F}(V18,V11), P_growth_rate-{F}(V2,V18,V16), pppp5-{F}(V19,V8,V20,V1,V2), pppp5-{F}(V19,V10,V21,V1,V2), pppp5-{F}(V19,V10,V22,V1,V2), pppp5-{F}(V19,V12,V23,V1,V2), pppp5-{F}(V19,V12,V24,V1,V2), pppp5-{F}(V19,V13,V25,V1,V2), pppp5-{F}(V19,V14,V26,V1,V2), pppp5-{F}(V19,V14,V27,V1,V2), pppp5-{F}(V19,V15,V28,V1,V2), pppp5-{F}(V19,V15,V29,V1,V2), pppp5-{F}(V19,V17,V30,V1,V2), pppp5-{F}(V19,V17,V31,V1,V2) | pppp2-{T}(V0,V6,V7)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #441: mergings( V1 == V8, V8 == V28, V2 == V9, V6 == V10, V9 == V29, V10 == V30, V7 == V12, V12 == V32, V15 == V34, V20 == V36; #407 ), references = 1, size of lhs = 56:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V1,V4,V6), P_growth_rate-{F}(V2,V4,V7), V7 == V0, subpopulations-{F}(V1,V2,V3,V8), greater_or_equal-{F}(V8,V5), P_growth_rate-{F}(V2,V8,V9), V9 == V0, greater-{F}(V9,V6), subpopulations-{F}(V1,V2,V3,V10), greater_or_equal-{F}(V10,V5), P_growth_rate-{F}(V2,V10,V9), greater_or_equal-{F}(V10,V11), pppp3-{F}(V3,V11,V1,V2), subpopulations-{F}(V1,V2,V3,V12), greater_or_equal-{F}(V12,V5), greater_or_equal-{F}(V12,V11), P_growth_rate-{F}(V2,V12,V13), V13 == V0, subpopulations-{F}(V1,V2,V3,V14), greater_or_equal-{F}(V14,V5), greater_or_equal-{F}(V14,V11), P_growth_rate-{F}(V2,V14,V13), subpopulations-{F}(V1,V2,V3,V15), greater_or_equal-{F}(V15,V5), greater_or_equal-{F}(V15,V11), P_growth_rate-{F}(V2,V15,V13), subpopulations-{F}(V1,V2,V3,V16), P_growth_rate-{F}(V2,V16,V7), greater_or_equal-{F}(V16,V5), subpopulations-{F}(V1,V2,V3,V17), greater_or_equal-{F}(V17,V5), P_growth_rate-{F}(V2,V17,V7), greater_or_equal-{F}(V17,V11), subpopulations-{F}(V1,V2,V3,V18), greater_or_equal-{F}(V18,V5), greater_or_equal-{F}(V18,V11), P_growth_rate-{F}(V2,V18,V7), pppp5-{F}(V19,V8,V20,V1,V2), pppp5-{F}(V19,V10,V21,V1,V2), pppp5-{F}(V19,V10,V22,V1,V2), pppp5-{F}(V19,V12,V23,V1,V2), pppp5-{F}(V19,V12,V24,V1,V2), pppp5-{F}(V19,V14,V25,V1,V2), pppp5-{F}(V19,V14,V26,V1,V2), pppp5-{F}(V19,V16,V27,V1,V2), pppp5-{F}(V19,V17,V28,V1,V2), pppp5-{F}(V19,V17,V29,V1,V2), pppp5-{F}(V19,V18,V30,V1,V2), pppp5-{F}(V19,V18,V31,V1,V2) | pppp2-{T}(V0,V6,V7)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #462: mergings( V0 == V7, V7 == V17, V3 == V8, V4 == V9, V8 == V18, V9 == V19, V18 == V38, V19 == V39, V6 == V12, V5 == V11, V11 == V21, V14 == V23, V23 == V37, V25 == V31; #446 ), references = 8, size of lhs = 43:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V2,V4,V6), V6 == V0, subpopulations-{F}(V1,V2,V3,V7), greater_or_equal-{F}(V7,V5), P_growth_rate-{F}(V2,V7,V6), greater_or_equal-{F}(V7,V8), pppp3-{F}(V3,V8,V1,V2), subpopulations-{F}(V1,V2,V3,V9), greater_or_equal-{F}(V9,V5), greater_or_equal-{F}(V9,V8), P_growth_rate-{F}(V2,V9,V6), subpopulations-{F}(V1,V2,V3,V10), P_growth_rate-{F}(V2,V10,V6), greater_or_equal-{F}(V10,V5), subpopulations-{F}(V1,V2,V3,V11), greater_or_equal-{F}(V11,V5), P_growth_rate-{F}(V2,V11,V6), greater_or_equal-{F}(V11,V8), subpopulations-{F}(V1,V2,V3,V12), greater_or_equal-{F}(V12,V5), greater_or_equal-{F}(V12,V8), P_growth_rate-{F}(V2,V12,V6), subpopulations-{F}(V1,V2,V3,V13), greater_or_equal-{F}(V13,V5), greater_or_equal-{F}(V13,V8), P_growth_rate-{F}(V2,V13,V6), pppp5-{F}(V14,V4,V15,V1,V2), pppp5-{F}(V14,V7,V16,V1,V2), pppp5-{F}(V14,V7,V17,V1,V2), pppp5-{F}(V14,V9,V18,V1,V2), pppp5-{F}(V14,V9,V19,V1,V2), pppp5-{F}(V14,V10,V20,V1,V2), pppp5-{F}(V14,V11,V21,V1,V2), pppp5-{F}(V14,V11,V22,V1,V2), pppp5-{F}(V14,V12,V23,V1,V2), pppp5-{F}(V14,V12,V24,V1,V2) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #474: mergings( V4 == V16, V6 == V11, V7 == V12, V11 == V3, V12 == V16, V5 == V8, V8 == V13, V9 == V14, V14 == V15, V17 == V23; #463 ), references = 16, size of lhs = 19:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V1,V2,V3,V5), greater_or_equal-{F}(V5,V4), greater_or_equal-{F}(V5,V6), pppp3-{F}(V3,V6,V1,V2), pppp5-{F}(V7,V5,V8,V1,V2), pppp5-{F}(V7,V5,V9,V1,V2), pppp5-{F}(V7,V5,V10,V1,V2), pppp5-{F}(V7,V5,V11,V1,V2), pppp5-{F}(V7,V5,V12,V1,V2), pppp5-{F}(V7,V5,V13,V1,V2), pppp5-{F}(V7,V5,V14,V1,V2), pppp5-{F}(V7,V5,V15,V1,V2), pppp5-{F}(V7,V5,V16,V1,V2), pppp5-{F}(V7,V5,V17,V1,V2) | P_growth_rate-{T}(V2,V5,V0)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #491: mergings( V4 == V14, V6 == V9, V7 == V12, V9 == V3, V12 == V14, V3 == V17, V14 == V16, V5 == V8, V8 == V13, V18 == V24, V24 == V30; #479 ), references = 4, size of lhs = 24:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V5,V4), greater-{F}(V5,V6), in_environment-{F}(V7,V6), in_environment-{F}(V7,V8), V6 == V8, pppp3-{F}(V3,V8,V0,V1), pppp5-{F}(V9,V5,V10,V0,V1), pppp5-{F}(V9,V5,V11,V0,V1), pppp5-{F}(V9,V5,V12,V0,V1), pppp5-{F}(V9,V5,V13,V0,V1), pppp5-{F}(V9,V5,V14,V0,V1), pppp5-{F}(V9,V5,V15,V0,V1), pppp5-{F}(V9,V5,V16,V0,V1), pppp5-{F}(V9,V5,V17,V0,V1), pppp5-{F}(V9,V5,V18,V0,V1), pppp5-{F}(V9,V5,V19,V0,V1), pppp5-{F}(V9,V5,V20,V0,V1) | greater-{T}(V8,V6)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #509: mergings( V8 == V16, V10 == V14, V5 == V13, V1 == V16, V2 == V9, V12 == V15, V17 == V28; #501 ), references = 5, size of lhs = 29:
% 3.99/4.22 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V1), in_environment-{F}(V2,V1), in_environment-{F}(V2,V3), V1 == V3, P_first_movers-{F}(V4), pppp6-{F}(V0,V4,V5), pppp3-{F}(V0,V3,V4,V5), P_efficient_producers-{F}(V5), P_zero-{F}(V6), greater_or_equal-{F}(V6,V6), environment-{F}(V7), P_equilibrium-{F}(V7,V1), subpopulations-{F}(V4,V5,V7,V8), greater-{F}(V8,V3), greater_or_equal-{F}(V8,V9), pppp3-{F}(V7,V9,V4,V5), pppp5-{F}(V10,V8,V11,V4,V5), pppp5-{F}(V10,V8,V12,V4,V5), pppp5-{F}(V10,V8,V13,V4,V5), pppp5-{F}(V10,V8,V14,V4,V5), pppp5-{F}(V10,V8,V15,V4,V5), pppp5-{F}(V10,V8,V16,V4,V5), pppp5-{F}(V10,V8,V17,V4,V5), pppp5-{F}(V10,V8,V18,V4,V5), pppp5-{F}(V10,V8,V19,V4,V5), pppp5-{F}(V10,V8,V20,V4,V5), pppp5-{F}(V10,V8,V21,V4,V5) | pppp5-{T}(V0,V1,V1,V4,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #543: mergings( V5 == V3, V3 == V8, V7 == V10; #537 ), references = 1, size of lhs = 18:
% 3.99/4.22 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), in_environment-{F}(V1,V0), in_environment-{F}(V1,V2), V2 == V0, greater_or_equal-{F}(V2,V2), in_environment-{F}(V3,V0), in_environment-{F}(V3,V2), P_first_movers-{F}(V4), P_growth_rate-{F}(V4,V2,V0), P_efficient_producers-{F}(V5), P_growth_rate-{F}(V5,V2,V2), environment-{F}(V6), in_environment-{F}(V6,V0), pppp6-{F}(V6,V4,V5), in_environment-{F}(V6,V2), pppp3-{F}(V6,V0,V4,V5), P_equilibrium-{F}(V6,V2) | pppp5-{T}(V6,V0,V0,V4,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #548: mergings( V7 == V11, V5 == V3, V3 == V8, V11 == V10; #538 ), references = 1, size of lhs = 18:
% 3.99/4.22 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), in_environment-{F}(V1,V0), in_environment-{F}(V1,V2), V2 == V0, greater_or_equal-{F}(V2,V2), in_environment-{F}(V3,V0), in_environment-{F}(V3,V2), P_first_movers-{F}(V4), P_growth_rate-{F}(V4,V2,V0), P_efficient_producers-{F}(V5), P_growth_rate-{F}(V5,V2,V2), environment-{F}(V6), in_environment-{F}(V6,V0), pppp6-{F}(V6,V4,V5), in_environment-{F}(V6,V2), pppp3-{F}(V6,V0,V4,V5), P_equilibrium-{F}(V6,V2) | pppp5-{T}(V6,V0,V0,V4,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #554: mergings( V7 == V12, V5 == V3, V3 == V8, V8 == V10, V12 == V11; #539 ), references = 1, size of lhs = 18:
% 3.99/4.22 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), in_environment-{F}(V1,V0), in_environment-{F}(V1,V2), V2 == V0, greater_or_equal-{F}(V2,V2), in_environment-{F}(V3,V0), in_environment-{F}(V3,V2), P_first_movers-{F}(V4), P_growth_rate-{F}(V4,V2,V0), P_efficient_producers-{F}(V5), P_growth_rate-{F}(V5,V2,V2), environment-{F}(V6), in_environment-{F}(V6,V0), pppp6-{F}(V6,V4,V5), in_environment-{F}(V6,V2), pppp3-{F}(V6,V0,V4,V5), P_equilibrium-{F}(V6,V2) | pppp5-{T}(V6,V0,V0,V4,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #568: disj( #1, #5+#3+#336 ), references = 1, size of lhs = 20:
% 3.99/4.22 P_zero-{F}(V0), in_environment-{F}(V1,V0), in_environment-{F}(V1,V2), V2 == V0, P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), P_growth_rate-{F}(V4,V2,V2), environment-{F}(V5), pppp3-{F}(V5,V0,V3,V4), subpopulations-{F}(V3,V4,V5,V2), subpopulations-{F}(V3,V4,V5,V6), P_growth_rate-{F}(V4,V6,V2), greater_or_equal-{F}(V6,V7), P_equilibrium-{F}(V5,V7), greater_or_equal-{F}(V2,V7), pppp5-{F}(V8,V6,V9,V3,V4), pppp5-{F}(V8,V2,V10,V3,V4), pppp5-{F}(V8,V2,V11,V3,V4), pppp5-{F}(V8,V2,V12,V3,V4), pppp5-{F}(V8,V2,V13,V3,V4) | greater-{T}(V0,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #570: mergings( V2 == V8; #566 ), references = 1, size of lhs = 22:
% 3.99/4.22 P_zero-{F}(V0), in_environment-{F}(V1,V0), in_environment-{F}(V1,V2), V2 == V0, P_first_movers-{F}(V3), P_efficient_producers-{F}(V4), P_growth_rate-{F}(V4,V2,V2), environment-{F}(V5), pppp3-{F}(V5,V0,V3,V4), subpopulations-{F}(V3,V4,V5,V2), subpopulations-{F}(V3,V4,V5,V6), P_growth_rate-{F}(V4,V6,V2), greater_or_equal-{F}(V6,V7), P_equilibrium-{F}(V5,V7), greater_or_equal-{F}(V2,V7), pppp5-{F}(V8,V6,V9,V3,V4), pppp5-{F}(V8,V2,V10,V3,V4), pppp5-{F}(V8,V2,V11,V3,V4), pppp5-{F}(V8,V2,V12,V3,V4), pppp5-{F}(V8,V2,V13,V3,V4), pppp5-{F}(V8,V2,V14,V3,V4), pppp5-{F}(V8,V2,V15,V3,V4) | greater-{T}(V0,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #571: disj( #1, #5+#3+#462 ), references = 3, size of lhs = 29:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), subpopulations-{F}(V1,V2,V3,V4), greater_or_equal-{F}(V4,V5), P_equilibrium-{F}(V3,V5), P_growth_rate-{F}(V2,V4,V6), V6 == V0, subpopulations-{F}(V1,V2,V3,V7), P_growth_rate-{F}(V2,V7,V6), greater_or_equal-{F}(V7,V5), subpopulations-{F}(V1,V2,V3,V8), greater_or_equal-{F}(V8,V5), P_growth_rate-{F}(V2,V8,V6), in_environment-{F}(V9,V8), in_environment-{F}(V9,V10), V8 == V10, pppp3-{F}(V3,V10,V1,V2), pppp5-{F}(V11,V4,V12,V1,V2), pppp5-{F}(V11,V8,V13,V1,V2), pppp5-{F}(V11,V8,V14,V1,V2), pppp5-{F}(V11,V8,V15,V1,V2), pppp5-{F}(V11,V8,V16,V1,V2), pppp5-{F}(V11,V7,V17,V1,V2), pppp5-{F}(V11,V8,V18,V1,V2), pppp5-{F}(V11,V8,V19,V1,V2), pppp5-{F}(V11,V8,V20,V1,V2), pppp5-{F}(V11,V8,V21,V1,V2) | greater-{T}(V10,V8)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #588: mergings( V5 == V3, V3 == V11, V7 == V10, V9 == V0; #583 ), references = 1, size of lhs = 17:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), in_environment-{F}(V3,V2), in_environment-{F}(V3,V4), V4 == V2, greater_or_equal-{F}(V4,V4), P_growth_rate-{F}(V1,V4,V4), in_environment-{F}(V5,V2), in_environment-{F}(V5,V4), environment-{F}(V6), in_environment-{F}(V6,V4), pppp6-{F}(V6,V0,V1), in_environment-{F}(V6,V2), P_equilibrium-{F}(V6,V4), pppp3-{F}(V6,V2,V0,V1) | pppp5-{T}(V6,V2,V2,V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #628: mergings( V3 == V12, V5 == V10, V8 == V11, V13 == V24; #623 ), references = 1, size of lhs = 25:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater-{F}(V5,V6), in_environment-{F}(V7,V6), in_environment-{F}(V7,V8), V8 == V6, greater-{F}(V8,V4), greater_or_equal-{F}(V5,V9), pppp3-{F}(V3,V9,V0,V1), pppp5-{F}(V10,V5,V11,V0,V1), pppp5-{F}(V10,V5,V12,V0,V1), pppp5-{F}(V10,V5,V13,V0,V1), pppp5-{F}(V10,V5,V14,V0,V1), pppp5-{F}(V10,V5,V15,V0,V1), pppp5-{F}(V10,V5,V16,V0,V1), pppp5-{F}(V10,V5,V17,V0,V1), pppp5-{F}(V10,V5,V18,V0,V1), pppp5-{F}(V10,V5,V19,V0,V1), pppp5-{F}(V10,V5,V20,V0,V1), pppp5-{F}(V10,V5,V21,V0,V1) | greater-{T}(V8,V6)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #655: exists( #25, #653 ), references = 1, size of lhs = 11:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), pppp6-{F}(V3,V0,V1), in_environment-{F}(V3,V4), P_equilibrium-{F}(V3,V5), greater-{F}(V4,V5), greater-{F}(V4,V6), pppp3-{F}(V3,V6,V0,V1) | pppp5-{T}(V3,V4,V4,V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #674: mergings( V5 == V7, V7 == V10, V1 == V8, V2 == V9, V14 == V15, V0 == V11, V6 == V15; #666 ), references = 2, size of lhs = 15:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), pppp6-{F}(V3,V0,V1), in_environment-{F}(V3,V4), pppp3-{F}(V3,V4,V0,V1), in_environment-{F}(V3,V5), V5 == V4, in_environment-{F}(V6,V5), in_environment-{F}(V6,V4), greater-{F}(V5,V7), P_equilibrium-{F}(V3,V7), greater_or_equal-{F}(V5,V7) | pppp5-{T}(V3,V4,V4,V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #692: mergings( V0 == V8, V8 == V9, V9 == V12, V12 == V14, V1 == V6, V6 == V10, V2 == V7, V7 == V11, V13 == V16, V3 == V15; #681 ), references = 1, size of lhs = 12:
% 3.99/4.22 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp6-{F}(V0,V1,V2), P_zero-{F}(V3), greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V4), P_growth_rate-{F}(V2,V4,V3), greater_or_equal-{F}(V4,V4), pppp3-{F}(V0,V4,V1,V2), P_equilibrium-{F}(V0,V5) | pppp4-{T}(V0,V5,V5), pppp4-{T}(V0,V4,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #703: exists( #25, #701 ), references = 5, size of lhs = 10:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), pppp6-{F}(V3,V0,V1), in_environment-{F}(V3,V4), pppp3-{F}(V3,V4,V0,V1), P_equilibrium-{F}(V3,V5), greater-{F}(V4,V5) | pppp5-{T}(V3,V4,V4,V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #726: mergings( V0 == V6, V6 == V7, V7 == V10, V10 == V13, V13 == V18, V18 == V19, V1 == V4, V4 == V8, V8 == V16, V2 == V5, V5 == V9, V9 == V17, V11 == V15, V15 == V21, V3 == V14, V14 == V20; #709 ), references = 1, size of lhs = 13:
% 3.99/4.22 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp6-{F}(V0,V1,V2), P_zero-{F}(V3), greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V4), P_growth_rate-{F}(V2,V4,V3), greater_or_equal-{F}(V4,V4), pppp3-{F}(V0,V4,V1,V2), P_equilibrium-{F}(V0,V5), V4 == V5 | pppp4-{T}(V0,V5,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #748: mergings( V5 == V8, V1 == V9, V2 == V10; #744 ), references = 1, size of lhs = 29:
% 3.99/4.22 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V1), in_environment-{F}(V2,V1), in_environment-{F}(V2,V3), V1 == V3, P_zero-{F}(V4), greater_or_equal-{F}(V4,V4), P_first_movers-{F}(V5), pppp6-{F}(V0,V5,V6), pppp3-{F}(V0,V3,V5,V6), P_efficient_producers-{F}(V6), environment-{F}(V7), P_equilibrium-{F}(V7,V1), subpopulations-{F}(V5,V6,V7,V3), greater_or_equal-{F}(V3,V8), pppp3-{F}(V7,V8,V5,V6), P_growth_rate-{F}(V6,V3,V9), V9 == V4, pppp5-{F}(V10,V3,V11,V5,V6), pppp5-{F}(V10,V3,V12,V5,V6), pppp5-{F}(V10,V3,V13,V5,V6), pppp5-{F}(V10,V3,V14,V5,V6), pppp5-{F}(V10,V3,V15,V5,V6), pppp5-{F}(V10,V3,V16,V5,V6), pppp5-{F}(V10,V3,V17,V5,V6), pppp5-{F}(V10,V3,V18,V5,V6), pppp5-{F}(V10,V3,V19,V5,V6), pppp5-{F}(V10,V3,V20,V5,V6) | pppp5-{T}(V0,V1,V1,V5,V6)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #765: mergings( V5 == V16, V6 == V17, V3 == V4, V4 == V10, V10 == V15, V11 == V16, V0 == V12, V7 == V14, V9 == V20, V21 == V32; #754 ), references = 2, size of lhs = 42:
% 3.99/4.22 P_efficient_producers-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), P_equilibrium-{F}(V1,V2), greater_or_equal-{F}(V2,V2), in_environment-{F}(V3,V2), in_environment-{F}(V3,V4), V2 == V4, P_zero-{F}(V5), greater_or_equal-{F}(V5,V5), P_first_movers-{F}(V6), pppp6-{F}(V1,V6,V0), pppp3-{F}(V1,V4,V6,V0), environment-{F}(V7), P_equilibrium-{F}(V7,V2), subpopulations-{F}(V6,V0,V7,V4), P_growth_rate-{F}(V0,V2,V8), V8 == V5, in_environment-{F}(V9,V2), in_environment-{F}(V9,V4), greater_or_equal-{F}(V4,V10), pppp3-{F}(V7,V10,V6,V0), pppp5-{F}(V11,V4,V12,V6,V0), pppp5-{F}(V11,V4,V13,V6,V0), pppp5-{F}(V11,V4,V14,V6,V0), pppp5-{F}(V11,V4,V15,V6,V0), pppp5-{F}(V11,V4,V16,V6,V0), pppp5-{F}(V11,V4,V17,V6,V0), pppp5-{F}(V11,V4,V18,V6,V0), pppp5-{F}(V11,V4,V19,V6,V0), pppp5-{F}(V11,V4,V20,V6,V0), pppp5-{F}(V11,V4,V21,V6,V0), pppp5-{F}(V11,V4,V22,V6,V0), pppp5-{F}(V11,V4,V23,V6,V0), pppp5-{F}(V11,V4,V24,V6,V0), pppp5-{F}(V11,V4,V25,V6,V0), pppp5-{F}(V11,V4,V26,V6,V0), pppp5-{F}(V11,V4,V27,V6,V0), pppp5-{F}(V11,V4,V28,V6,V0), pppp5-{F}(V11,V4,V29,V6,V0), pppp5-{F}(V11,V4,V30,V6,V0), pppp5-{F}(V11,V4,V31,V6,V0) | P_growth_rate-{T}(V0,V4,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #781: mergings( V2 == V15, V3 == V16, V15 == V44, V16 == V42, V0 == V9, V9 == V14, V14 == V1, V10 == V44, V8 == V11, V4 == V13, V7 == V19, V19 == V43, V20 == V31, V31 == V45; #766 ), references = 1, size of lhs = 43:
% 3.99/4.22 P_efficient_producers-{F}(V0), environment-{F}(V1), in_environment-{F}(V1,V2), P_equilibrium-{F}(V1,V2), greater_or_equal-{F}(V2,V2), in_environment-{F}(V3,V2), in_environment-{F}(V3,V4), V2 == V4, P_first_movers-{F}(V5), pppp6-{F}(V1,V5,V0), pppp3-{F}(V1,V4,V5,V0), P_growth_rate-{F}(V0,V2,V6), in_environment-{F}(V7,V2), in_environment-{F}(V7,V4), P_zero-{F}(V8), V6 == V8, greater_or_equal-{F}(V8,V8), environment-{F}(V9), P_equilibrium-{F}(V9,V2), subpopulations-{F}(V5,V0,V9,V4), greater_or_equal-{F}(V4,V10), pppp3-{F}(V9,V10,V5,V0), pppp5-{F}(V11,V4,V12,V5,V0), pppp5-{F}(V11,V4,V13,V5,V0), pppp5-{F}(V11,V4,V14,V5,V0), pppp5-{F}(V11,V4,V15,V5,V0), pppp5-{F}(V11,V4,V16,V5,V0), pppp5-{F}(V11,V4,V17,V5,V0), pppp5-{F}(V11,V4,V18,V5,V0), pppp5-{F}(V11,V4,V19,V5,V0), pppp5-{F}(V11,V4,V20,V5,V0), pppp5-{F}(V11,V4,V21,V5,V0), pppp5-{F}(V11,V4,V22,V5,V0), pppp5-{F}(V11,V4,V23,V5,V0), pppp5-{F}(V11,V4,V24,V5,V0), pppp5-{F}(V11,V4,V25,V5,V0), pppp5-{F}(V11,V4,V26,V5,V0), pppp5-{F}(V11,V4,V27,V5,V0), pppp5-{F}(V11,V4,V28,V5,V0), pppp5-{F}(V11,V4,V29,V5,V0), pppp5-{F}(V11,V4,V30,V5,V0), pppp5-{F}(V11,V4,V31,V5,V0), pppp5-{F}(V11,V4,V32,V5,V0) | P_growth_rate-{T}(V0,V4,V8)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #810: mergings( V5 == V8, V8 == V11, V11 == V14, V1 == V12, V2 == V13, V6 == V10, V3 == V16, V16 == V19, V19 == V20, V0 == V9, V9 == V15; #798 ), references = 2, size of lhs = 19:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), pppp6-{F}(V3,V0,V1), 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), greater_or_equal-{F}(V6,V6), pppp3-{F}(V3,V6,V0,V1), in_environment-{F}(V7,V6), in_environment-{F}(V7,V4), P_growth_rate-{F}(V1,V4,V8), V8 == V2 | pppp5-{T}(V3,V6,V6,V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #847: disj( #1, #0+#5+#3+#462 ), references = 1, size of lhs = 24:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V1,V2,V3,V5), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), V7 == V5, greater-{F}(V7,V4), greater_or_equal-{F}(V5,V8), pppp3-{F}(V3,V8,V1,V2), P_growth_rate-{F}(V2,V5,V9), V9 == V0, pppp5-{F}(V10,V5,V11,V1,V2), pppp5-{F}(V10,V5,V12,V1,V2), pppp5-{F}(V10,V5,V13,V1,V2), pppp5-{F}(V10,V5,V14,V1,V2), pppp5-{F}(V10,V5,V15,V1,V2), pppp5-{F}(V10,V5,V16,V1,V2), pppp5-{F}(V10,V5,V17,V1,V2), pppp5-{F}(V10,V5,V18,V1,V2), pppp5-{F}(V10,V5,V19,V1,V2), pppp5-{F}(V10,V5,V20,V1,V2) | greater-{T}(V7,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #863: mergings( V4 == V10, V10 == V16, V12 == V15, V0 == V11, V5 == V15, V3 == V14, V6 == V13, V9 == V1, V17 == V28, V28 == V39; #852 ), references = 2, size of lhs = 36:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), subpopulations-{F}(V0,V1,V3,V4), greater_or_equal-{F}(V4,V4), pppp3-{F}(V3,V4,V0,V1), in_environment-{F}(V5,V4), in_environment-{F}(V5,V6), V6 == V4, subpopulations-{F}(V0,V1,V3,V6), greater-{F}(V6,V7), P_equilibrium-{F}(V3,V7), greater_or_equal-{F}(V6,V7), pppp5-{F}(V8,V4,V9,V0,V1), pppp5-{F}(V8,V4,V10,V0,V1), pppp5-{F}(V8,V4,V11,V0,V1), pppp5-{F}(V8,V4,V12,V0,V1), pppp5-{F}(V8,V4,V13,V0,V1), pppp5-{F}(V8,V4,V14,V0,V1), pppp5-{F}(V8,V4,V15,V0,V1), pppp5-{F}(V8,V4,V16,V0,V1), pppp5-{F}(V8,V4,V17,V0,V1), pppp5-{F}(V8,V4,V18,V0,V1), pppp5-{F}(V8,V6,V19,V0,V1), pppp5-{F}(V8,V6,V20,V0,V1), pppp5-{F}(V8,V6,V21,V0,V1), pppp5-{F}(V8,V6,V22,V0,V1), pppp5-{F}(V8,V6,V23,V0,V1), pppp5-{F}(V8,V6,V24,V0,V1), pppp5-{F}(V8,V6,V25,V0,V1), pppp5-{F}(V8,V6,V26,V0,V1), pppp5-{F}(V8,V6,V27,V0,V1), pppp5-{F}(V8,V6,V28,V0,V1), pppp5-{F}(V8,V6,V29,V0,V1) | P_growth_rate-{T}(V1,V4,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #893: mergings( V7 == V17, V9 == V15, V5 == V14, V1 == V17, V2 == V8, V13 == V16, V18 == V29; #885 ), references = 1, size of lhs = 30:
% 3.99/4.22 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V2), greater-{F}(V1,V2), P_first_movers-{F}(V3), pppp6-{F}(V0,V3,V4), P_efficient_producers-{F}(V4), in_environment-{F}(V5,V1), in_environment-{F}(V5,V6), V1 == V6, pppp3-{F}(V0,V6,V3,V4), greater-{F}(V1,V7), P_zero-{F}(V8), greater_or_equal-{F}(V8,V8), environment-{F}(V9), P_equilibrium-{F}(V9,V7), subpopulations-{F}(V3,V4,V9,V6), greater_or_equal-{F}(V6,V10), pppp3-{F}(V9,V10,V3,V4), pppp5-{F}(V11,V6,V12,V3,V4), pppp5-{F}(V11,V6,V13,V3,V4), pppp5-{F}(V11,V6,V14,V3,V4), pppp5-{F}(V11,V6,V15,V3,V4), pppp5-{F}(V11,V6,V16,V3,V4), pppp5-{F}(V11,V6,V17,V3,V4), pppp5-{F}(V11,V6,V18,V3,V4), pppp5-{F}(V11,V6,V19,V3,V4), pppp5-{F}(V11,V6,V20,V3,V4), pppp5-{F}(V11,V6,V21,V3,V4), pppp5-{F}(V11,V6,V22,V3,V4) | pppp5-{T}(V0,V1,V1,V3,V4)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #913: mergings( V0 == V6, V6 == V7, V7 == V8, V8 == V11, V1 == V9, V2 == V10, V12 == V13, V13 == V14, V14 == V15; #903 ), references = 1, size of lhs = 11:
% 3.99/4.22 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp6-{F}(V0,V1,V2), P_zero-{F}(V3), greater_or_equal-{F}(V3,V3), P_equilibrium-{F}(V0,V4), in_environment-{F}(V0,V5), greater_or_equal-{F}(V5,V5), pppp3-{F}(V0,V5,V1,V2) | pppp4-{T}(V0,V4,V4), pppp4-{T}(V0,V5,V4)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #937: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V15, V15 == V18, V1 == V7, V7 == V16, V2 == V8, V8 == V17, V11 == V12, V12 == V13, V13 == V14, V14 == V20, V20 == V21, V3 == V19; #920 ), references = 2, size of lhs = 12:
% 3.99/4.22 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp6-{F}(V0,V1,V2), P_zero-{F}(V3), greater_or_equal-{F}(V3,V3), in_environment-{F}(V0,V4), greater_or_equal-{F}(V4,V4), pppp3-{F}(V0,V4,V1,V2), P_equilibrium-{F}(V0,V5), V4 == V5 | pppp4-{T}(V0,V5,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #959: mergings( V17 == V18, V0 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V16, V6 == V1, V7 == V2; #946 ), references = 1, size of lhs = 11:
% 3.99/4.22 stable-{F}(V0), environment-{F}(V0), P_equilibrium-{F}(V0,V1), greater_or_equal-{F}(V1,V1), P_efficient_producers-{F}(V2), P_first_movers-{F}(V3), pppp6-{F}(V0,V3,V2), P_zero-{F}(V4), greater_or_equal-{F}(V4,V4), P_growth_rate-{F}(V2,V1,V5), V5 == V4 | pppp3-{T}(V0,V1,V3,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #966: exists( #25, #964 ), references = 2, size of lhs = 9:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), pppp6-{F}(V3,V0,V1), in_environment-{F}(V3,V4), P_equilibrium-{F}(V3,V4), pppp3-{F}(V3,V4,V0,V1) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #983: disj( #1, #5+#3+#462 ), references = 1, size of lhs = 23:
% 3.99/4.22 P_zero-{F}(V0), P_first_movers-{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, subpopulations-{F}(V1,V2,V3,V6), greater_or_equal-{F}(V6,V7), pppp3-{F}(V3,V7,V1,V2), P_growth_rate-{F}(V2,V6,V8), V8 == V0, pppp5-{F}(V9,V6,V10,V1,V2), pppp5-{F}(V9,V6,V11,V1,V2), pppp5-{F}(V9,V6,V12,V1,V2), pppp5-{F}(V9,V6,V13,V1,V2), pppp5-{F}(V9,V6,V14,V1,V2), pppp5-{F}(V9,V6,V15,V1,V2), pppp5-{F}(V9,V6,V16,V1,V2), pppp5-{F}(V9,V6,V17,V1,V2), pppp5-{F}(V9,V6,V18,V1,V2), pppp5-{F}(V9,V6,V19,V1,V2) | greater-{T}(V4,V6)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1001: mergings( V3 == V9, V5 == V8, V10 == V21; #997 ), references = 3, size of lhs = 23:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), P_equilibrium-{F}(V3,V4), subpopulations-{F}(V0,V1,V3,V5), greater_or_equal-{F}(V5,V4), in_environment-{F}(V6,V5), in_environment-{F}(V6,V7), V5 == V7, pppp3-{F}(V3,V7,V0,V1), pppp5-{F}(V8,V5,V9,V0,V1), pppp5-{F}(V8,V5,V10,V0,V1), pppp5-{F}(V8,V5,V11,V0,V1), pppp5-{F}(V8,V5,V12,V0,V1), pppp5-{F}(V8,V5,V13,V0,V1), pppp5-{F}(V8,V5,V14,V0,V1), pppp5-{F}(V8,V5,V15,V0,V1), pppp5-{F}(V8,V5,V16,V0,V1), pppp5-{F}(V8,V5,V17,V0,V1), pppp5-{F}(V8,V5,V18,V0,V1), pppp5-{F}(V8,V5,V19,V0,V1) | greater-{T}(V7,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1024: mergings( V5 == V8, V8 == V11, V11 == V12, V1 == V13, V2 == V14, V6 == V10, V3 == V16, V16 == V18, V0 == V9, V9 == V15; #1013 ), references = 1, size of lhs = 19:
% 3.99/4.22 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), environment-{F}(V3), pppp6-{F}(V3,V1,V2), 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), greater_or_equal-{F}(V6,V6), pppp3-{F}(V3,V6,V1,V2), in_environment-{F}(V7,V6), in_environment-{F}(V7,V4), P_growth_rate-{F}(V2,V6,V8), V8 == V0 | pppp5-{T}(V3,V6,V6,V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1084: mergings( V5 == V8, V8 == V11, V11 == V14, V1 == V12, V2 == V13, V6 == V10, V3 == V16, V16 == V18, V18 == V19, V0 == V9, V9 == V15; #1072 ), references = 1, size of lhs = 17:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2), environment-{F}(V3), pppp6-{F}(V3,V0,V1), 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), greater_or_equal-{F}(V6,V6), pppp3-{F}(V3,V6,V0,V1), in_environment-{F}(V7,V6), in_environment-{F}(V7,V4) | pppp5-{T}(V3,V6,V6,V0,V1)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1101: mergings( V8 == V15, V10 == V13, V5 == V12, V1 == V15, V2 == V9, V11 == V14, V16 == V27; #1093 ), references = 1, size of lhs = 28:
% 3.99/4.22 environment-{F}(V0), in_environment-{F}(V0,V1), P_equilibrium-{F}(V0,V1), in_environment-{F}(V2,V1), in_environment-{F}(V2,V3), V1 == V3, P_first_movers-{F}(V4), pppp6-{F}(V0,V4,V5), pppp3-{F}(V0,V3,V4,V5), P_efficient_producers-{F}(V5), P_zero-{F}(V6), greater_or_equal-{F}(V6,V6), environment-{F}(V7), P_equilibrium-{F}(V7,V1), subpopulations-{F}(V4,V5,V7,V3), greater_or_equal-{F}(V3,V8), pppp3-{F}(V7,V8,V4,V5), pppp5-{F}(V9,V3,V10,V4,V5), pppp5-{F}(V9,V3,V11,V4,V5), pppp5-{F}(V9,V3,V12,V4,V5), pppp5-{F}(V9,V3,V13,V4,V5), pppp5-{F}(V9,V3,V14,V4,V5), pppp5-{F}(V9,V3,V15,V4,V5), pppp5-{F}(V9,V3,V16,V4,V5), pppp5-{F}(V9,V3,V17,V4,V5), pppp5-{F}(V9,V3,V18,V4,V5), pppp5-{F}(V9,V3,V19,V4,V5), pppp5-{F}(V9,V3,V20,V4,V5) | pppp5-{T}(V0,V1,V1,V4,V5)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1127: mergings( V0 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V15, V10 == V14, V14 == V16; #1115 ), references = 2, size of lhs = 9:
% 3.99/4.22 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp6-{F}(V0,V1,V2), P_zero-{F}(V3), greater_or_equal-{F}(V3,V3), P_equilibrium-{F}(V0,V4), greater_or_equal-{F}(V4,V4) | pppp3-{T}(V0,V4,V1,V2)
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1136: mergings( V2 == V5; #1134 ), references = 1, size of lhs = 7:
% 3.99/4.22 stable-{F}(V0), environment-{F}(V0), P_first_movers-{F}(V1), P_efficient_producers-{F}(V2), pppp6-{F}(V0,V1,V2), P_zero-{F}(V3), greater_or_equal-{F}(V3,V3) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1142: mergings( V0 == V4, V4 == V5; #1139 ), references = 1, size of lhs = 4:
% 3.99/4.22 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), P_zero-{F}(V2), greater_or_equal-{F}(V2,V2) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1146: mergings( V1 == V2, V2 == V4; #1143 ), references = 1, size of lhs = 3:
% 3.99/4.22 P_first_movers-{F}(V0), P_zero-{F}(V1), greater_or_equal-{F}(V1,V1) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1150: mergings( V1 == V2, V2 == V3; #1147 ), references = 1, size of lhs = 2:
% 3.99/4.22 P_zero-{F}(V0), greater_or_equal-{F}(V0,V0) | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 #1154: exists( #32, #1152 ), references = 1, size of lhs = 0:
% 3.99/4.22 FALSE | FALSE
% 3.99/4.22 (used 0 times, uses = {})
% 3.99/4.22
% 3.99/4.22 number of learnt formulas = 65
% 3.99/4.22
% 3.99/4.22
% 3.99/4.22 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.99/4.22
% 3.99/4.22 randbase = 1
%------------------------------------------------------------------------------